From 0f00e789af3e5b6b4891ec128172ed431bbff287 Mon Sep 17 00:00:00 2001
From: azriel1rf <azriel.1rf@gmail.com>
Date: Tue, 30 Apr 2024 18:49:50 +0900
Subject: [PATCH 1/4] Move `CardSampler` to separate files and use it in
 evaluation tests (#91)

* Refactor card_sampler include paths in benchmark files

* Refactor to use `card_sampler::CardSampler` in tests

* Refactor card_sampler implementation to separate header and source files
---
 cpp/CMakeLists.txt                     |   8 ++
 cpp/benchmark/benchmark.cc             |  32 ++-----
 cpp/benchmark/benchmark_plo4.cc        |  16 +---
 cpp/benchmark/benchmark_plo5.cc        |  20 ++--
 cpp/benchmark/benchmark_plo6.cc        |  20 ++--
 cpp/benchmark/card_sampler.h           |  30 ------
 cpp/include/phevaluator/card_sampler.h |  21 +++++
 cpp/src/card_sampler.cc                |  30 ++++++
 cpp/test/evaluation_plo4.cc            |  99 ++++++--------------
 cpp/test/evaluation_plo5.cc            | 117 ++++++++---------------
 cpp/test/evaluation_plo6.cc            | 125 ++++++++-----------------
 11 files changed, 196 insertions(+), 322 deletions(-)
 delete mode 100644 cpp/benchmark/card_sampler.h
 create mode 100644 cpp/include/phevaluator/card_sampler.h
 create mode 100644 cpp/src/card_sampler.cc

diff --git a/cpp/CMakeLists.txt b/cpp/CMakeLists.txt
index 718d5d0..f84de18 100644
--- a/cpp/CMakeLists.txt
+++ b/cpp/CMakeLists.txt
@@ -19,6 +19,7 @@ option(BUILD_TESTS "Build test ON/OFF" ON)
 option(BUILD_EXAMPLES "Build examples ON/OFF" ON)
 
 add_library(pheval STATIC
+  src/card_sampler.cc
   src/dptables.c
   src/evaluator5.cc
   src/evaluator5.c
@@ -41,6 +42,7 @@ target_include_directories(pheval PUBLIC
 target_compile_options(pheval PUBLIC -O3)
 set(PUB_HEADERS include/phevaluator/phevaluator.h
                 include/phevaluator/card.h
+                include/phevaluator/card_sampler.h
                 include/phevaluator/rank.h)
 set_target_properties(pheval PROPERTIES
     VERSION ${PROJECT_VERSION}
@@ -114,6 +116,7 @@ endif()
 
 if (BUILD_PLO4)
   add_library(phevalplo4 STATIC
+    src/card_sampler.cc
     src/dptables.c
     src/evaluator_plo4.c
     src/evaluator_plo4.cc
@@ -130,6 +133,7 @@ if (BUILD_PLO4)
   target_compile_options(phevalplo4 PUBLIC -O3)
   set(PUB_HEADERS include/phevaluator/phevaluator.h
                   include/phevaluator/card.h
+                  include/phevaluator/card_sampler.h
                   include/phevaluator/rank.h)
   set_target_properties(phevalplo4 PROPERTIES
       VERSION ${PROJECT_VERSION}
@@ -148,6 +152,7 @@ if (BUILD_PLO5)
   )
 
   add_library(phevalplo5 STATIC
+    src/card_sampler.cc
     src/dptables.c
     src/evaluator_plo5.c
     src/evaluator_plo5.cc
@@ -164,6 +169,7 @@ if (BUILD_PLO5)
   target_compile_options(phevalplo5 PUBLIC -O3)
   set(PUB_HEADERS include/phevaluator/phevaluator.h
                   include/phevaluator/card.h
+                  include/phevaluator/card_sampler.h
                   include/phevaluator/rank.h)
   set_target_properties(phevalplo5 PROPERTIES
       VERSION ${PROJECT_VERSION}
@@ -181,6 +187,7 @@ if (BUILD_PLO6)
   )
 
   add_library(phevalplo6 STATIC
+    src/card_sampler.cc
     src/dptables.c
     src/evaluator_plo6.c
     src/evaluator_plo6.cc
@@ -197,6 +204,7 @@ if (BUILD_PLO6)
   target_compile_options(phevalplo6 PUBLIC -O3)
   set(PUB_HEADERS include/phevaluator/phevaluator.h
                   include/phevaluator/card.h
+                  include/phevaluator/card_sampler.h
                   include/phevaluator/rank.h)
   set_target_properties(phevalplo6 PROPERTIES
       VERSION ${PROJECT_VERSION}
diff --git a/cpp/benchmark/benchmark.cc b/cpp/benchmark/benchmark.cc
index 7beb31d..badb34c 100644
--- a/cpp/benchmark/benchmark.cc
+++ b/cpp/benchmark/benchmark.cc
@@ -1,6 +1,6 @@
-#include "phevaluator/phevaluator.h"
 #include "benchmark/benchmark.h"
-#include "card_sampler.h"
+#include "phevaluator/card_sampler.h"
+#include "phevaluator/phevaluator.h"
 
 using namespace phevaluator;
 
@@ -65,16 +65,13 @@ const int SIZE = 100;
 
 static void EvaluateRandomFiveCards(benchmark::State& state) {
   std::vector<std::vector<int>> hands;
-  CardSampler cs{};
+  card_sampler::CardSampler cs{};
   for (int i = 0; i < SIZE; i++) {
     hands.push_back(cs.sample(5));
   }
   for (auto _ : state) {
     for (int i = 0; i < SIZE; i++) {
-      EvaluateCards(hands[i][0],
-                    hands[i][1],
-                    hands[i][2],
-                    hands[i][3],
+      EvaluateCards(hands[i][0], hands[i][1], hands[i][2], hands[i][3],
                     hands[i][4]);
     }
   }
@@ -83,7 +80,7 @@ BENCHMARK(EvaluateRandomFiveCards);
 
 static void EvaluateRandomSixCards(benchmark::State& state) {
   std::vector<std::vector<int>> hands;
-  CardSampler cs{};
+  card_sampler::CardSampler cs{};
 
   for (int i = 0; i < SIZE; i++) {
     hands.push_back(cs.sample(6));
@@ -91,12 +88,8 @@ static void EvaluateRandomSixCards(benchmark::State& state) {
 
   for (auto _ : state) {
     for (int i = 0; i < SIZE; i++) {
-      EvaluateCards(hands[i][0],
-                    hands[i][1],
-                    hands[i][2],
-                    hands[i][3],
-                    hands[i][4],
-                    hands[i][5]);
+      EvaluateCards(hands[i][0], hands[i][1], hands[i][2], hands[i][3],
+                    hands[i][4], hands[i][5]);
     }
   }
 }
@@ -104,7 +97,7 @@ BENCHMARK(EvaluateRandomSixCards);
 
 static void EvaluateRandomSevenCards(benchmark::State& state) {
   std::vector<std::vector<int>> hands;
-  CardSampler cs{};
+  card_sampler::CardSampler cs{};
 
   for (int i = 0; i < SIZE; i++) {
     hands.push_back(cs.sample(7));
@@ -112,13 +105,8 @@ static void EvaluateRandomSevenCards(benchmark::State& state) {
 
   for (auto _ : state) {
     for (int i = 0; i < SIZE; i++) {
-      EvaluateCards(hands[i][0],
-                    hands[i][1],
-                    hands[i][2],
-                    hands[i][3],
-                    hands[i][4],
-                    hands[i][5],
-                    hands[i][6]);
+      EvaluateCards(hands[i][0], hands[i][1], hands[i][2], hands[i][3],
+                    hands[i][4], hands[i][5], hands[i][6]);
     }
   }
 }
diff --git a/cpp/benchmark/benchmark_plo4.cc b/cpp/benchmark/benchmark_plo4.cc
index 30d6eca..171e1af 100644
--- a/cpp/benchmark/benchmark_plo4.cc
+++ b/cpp/benchmark/benchmark_plo4.cc
@@ -1,6 +1,6 @@
-#include "phevaluator/phevaluator.h"
 #include "benchmark/benchmark.h"
-#include "card_sampler.h"
+#include "phevaluator/card_sampler.h"
+#include "phevaluator/phevaluator.h"
 
 using namespace phevaluator;
 
@@ -8,7 +8,7 @@ const int SIZE = 100;
 
 static void EvaluateRandomPlo4Cards(benchmark::State& state) {
   std::vector<std::vector<int>> hands;
-  CardSampler cs{};
+  card_sampler::CardSampler cs{};
 
   for (int i = 0; i < SIZE; i++) {
     hands.push_back(cs.sample(9));
@@ -16,14 +16,8 @@ static void EvaluateRandomPlo4Cards(benchmark::State& state) {
 
   for (auto _ : state) {
     for (int i = 0; i < SIZE; i++) {
-      EvaluatePlo4Cards(hands[i][0],
-                        hands[i][1],
-                        hands[i][2],
-                        hands[i][3],
-                        hands[i][4],
-                        hands[i][5],
-                        hands[i][6],
-                        hands[i][7],
+      EvaluatePlo4Cards(hands[i][0], hands[i][1], hands[i][2], hands[i][3],
+                        hands[i][4], hands[i][5], hands[i][6], hands[i][7],
                         hands[i][8]);
     }
   }
diff --git a/cpp/benchmark/benchmark_plo5.cc b/cpp/benchmark/benchmark_plo5.cc
index ee77a45..0964ed3 100644
--- a/cpp/benchmark/benchmark_plo5.cc
+++ b/cpp/benchmark/benchmark_plo5.cc
@@ -1,15 +1,14 @@
-#include "phevaluator/phevaluator.h"
 #include "benchmark/benchmark.h"
-#include "card_sampler.h"
+#include "phevaluator/card_sampler.h"
+#include "phevaluator/phevaluator.h"
 
 using namespace phevaluator;
 
-
 const int SIZE = 100;
 
 static void EvaluateRandomPlo5Cards(benchmark::State& state) {
   std::vector<std::vector<int>> hands;
-  CardSampler cs{};
+  card_sampler::CardSampler cs{};
 
   for (int i = 0; i < SIZE; i++) {
     hands.push_back(cs.sample(10));
@@ -17,16 +16,9 @@ static void EvaluateRandomPlo5Cards(benchmark::State& state) {
 
   for (auto _ : state) {
     for (int i = 0; i < SIZE; i++) {
-      EvaluatePlo5Cards(hands[i][0],
-                        hands[i][1],
-                        hands[i][2],
-                        hands[i][3],
-                        hands[i][4],
-                        hands[i][5],
-                        hands[i][6],
-                        hands[i][7],
-                        hands[i][8],
-                        hands[i][9]);
+      EvaluatePlo5Cards(hands[i][0], hands[i][1], hands[i][2], hands[i][3],
+                        hands[i][4], hands[i][5], hands[i][6], hands[i][7],
+                        hands[i][8], hands[i][9]);
     }
   }
 }
diff --git a/cpp/benchmark/benchmark_plo6.cc b/cpp/benchmark/benchmark_plo6.cc
index 4f5d494..faa66b4 100644
--- a/cpp/benchmark/benchmark_plo6.cc
+++ b/cpp/benchmark/benchmark_plo6.cc
@@ -1,6 +1,6 @@
-#include "phevaluator/phevaluator.h"
 #include "benchmark/benchmark.h"
-#include "card_sampler.h"
+#include "phevaluator/card_sampler.h"
+#include "phevaluator/phevaluator.h"
 
 using namespace phevaluator;
 
@@ -8,7 +8,7 @@ const int SIZE = 100;
 
 static void EvaluateRandomPlo6Cards(benchmark::State& state) {
   std::vector<std::vector<int>> hands;
-  CardSampler cs{};
+  card_sampler::CardSampler cs{};
 
   for (int i = 0; i < SIZE; i++) {
     hands.push_back(cs.sample(11));
@@ -16,17 +16,9 @@ static void EvaluateRandomPlo6Cards(benchmark::State& state) {
 
   for (auto _ : state) {
     for (int i = 0; i < SIZE; i++) {
-      EvaluatePlo6Cards(hands[i][0],
-                        hands[i][1],
-                        hands[i][2],
-                        hands[i][3],
-                        hands[i][4],
-                        hands[i][5],
-                        hands[i][6],
-                        hands[i][7],
-                        hands[i][8],
-                        hands[i][9],
-                        hands[i][10]);
+      EvaluatePlo6Cards(hands[i][0], hands[i][1], hands[i][2], hands[i][3],
+                        hands[i][4], hands[i][5], hands[i][6], hands[i][7],
+                        hands[i][8], hands[i][9], hands[i][10]);
     }
   }
 }
diff --git a/cpp/benchmark/card_sampler.h b/cpp/benchmark/card_sampler.h
deleted file mode 100644
index a013cf5..0000000
--- a/cpp/benchmark/card_sampler.h
+++ /dev/null
@@ -1,30 +0,0 @@
-#include <algorithm>
-#include <vector>
-#include <array>
-#include <set>
-#include <chrono>
-#include <numeric>
-#include <random>
-
-static unsigned seed = std::chrono::system_clock::now().time_since_epoch().count();
-static std::default_random_engine generator(seed);
-
-class CardSampler {
-  std::array<int, 52> deck;
-public:
-  CardSampler(void) {
-    std::iota(deck.begin(), deck.end(), 0);
-  }
-  std::vector<int> sample(int size) {
-    std::vector<int> ret;
-    int residual_cards = deck.size();
-    for (int i = 0; i < size; i++) {
-      int target_index = generator() % residual_cards;
-      int tail_index = residual_cards - 1;
-      std::swap(deck[target_index], deck[tail_index]);
-      ret.push_back(deck[tail_index]);
-      residual_cards--;
-    }
-    return ret;
-  }
-};
diff --git a/cpp/include/phevaluator/card_sampler.h b/cpp/include/phevaluator/card_sampler.h
new file mode 100644
index 0000000..bfe2bd5
--- /dev/null
+++ b/cpp/include/phevaluator/card_sampler.h
@@ -0,0 +1,21 @@
+#pragma once
+#include <array>
+#include <vector>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+namespace card_sampler {
+class CardSampler {
+  std::array<int, 52> deck;
+
+ public:
+  CardSampler(void);
+  std::vector<int> sample(int size);
+};
+}  // namespace card_sampler
+
+#ifdef __cplusplus
+}  // closing brace for extern "C"
+#endif
diff --git a/cpp/src/card_sampler.cc b/cpp/src/card_sampler.cc
new file mode 100644
index 0000000..6b35487
--- /dev/null
+++ b/cpp/src/card_sampler.cc
@@ -0,0 +1,30 @@
+#include <phevaluator/card_sampler.h>
+#include <array>
+#include <chrono>
+#include <numeric>
+#include <random>
+#include <utility>
+#include <vector>
+
+namespace card_sampler {
+static unsigned seed =
+    std::chrono::system_clock::now().time_since_epoch().count();
+static std::default_random_engine generator(seed);
+
+CardSampler::CardSampler(void) {
+  std::iota(deck.begin(), deck.end(), 0);
+}
+
+std::vector<int> CardSampler::sample(int size) {
+  std::vector<int> ret;
+  int residual_cards = deck.size();
+  for (int i = 0; i < size; i++) {
+    int target_index = generator() % residual_cards;
+    int tail_index = residual_cards - 1;
+    std::swap(deck[target_index], deck[tail_index]);
+    ret.push_back(deck[tail_index]);
+    residual_cards--;
+  }
+  return ret;
+}
+}  // namespace card_sampler
diff --git a/cpp/test/evaluation_plo4.cc b/cpp/test/evaluation_plo4.cc
index 0ee4a85..0a7e712 100644
--- a/cpp/test/evaluation_plo4.cc
+++ b/cpp/test/evaluation_plo4.cc
@@ -1,11 +1,11 @@
-#include <cstdio>
-#include <cassert>
+#include <phevaluator/card_sampler.h>
+#include <phevaluator/phevaluator.h>
+#include <phevaluator/rank.h>
 #include <algorithm>
+#include <cstdio>
+#include <string>
 #include <vector>
-#include <set>
-#include <chrono>
-#include <random>
-#include <phevaluator/phevaluator.h>
+
 #include "gtest/gtest.h"
 #include "kev/kev_eval.h"
 
@@ -15,54 +15,25 @@ static int percentage(long long numerator, long long denominator) {
   return numerator * 100 / denominator;
 }
 
-static unsigned seed = std::chrono::system_clock::now().time_since_epoch().count();
-static std::default_random_engine generator(seed);
-static std::uniform_int_distribution<int> distribution(0, 51);
-
-static std::vector<int> RandomCardSample(int size) {
-  std::vector<int> ret;
-  std::set<int> sample;
+static card_sampler::CardSampler cs{};
 
-  while (sample.size() < size) {
-    int number = distribution(generator);
-    if (sample.find(number) == sample.end()) {
-      ret.push_back(number);
-      sample.insert(number);
-    }
-  }
-
-  return ret;
-}
-
-static short IterateKevEval(int a, int b, int c, int d, int e,
-                            int f, int g, int h, int i) {
+static short
+IterateKevEval(int a, int b, int c, int d, int e, int f, int g, int h, int i) {
   short best = 20000;
 
   int board[10][3] = {
-    {a, b, c},
-    {a, b, d},
-    {a, b, e},
-    {a, c, d},
-    {a, c, e},
-    {a, d, e},
-    {b, c, d},
-    {b, c, e},
-    {b, d, e},
-    {c, d, e},
+      {a, b, c}, {a, b, d}, {a, b, e}, {a, c, d}, {a, c, e},
+      {a, d, e}, {b, c, d}, {b, c, e}, {b, d, e}, {c, d, e},
   };
   int hole[6][2] = {
-    {f, g},
-    {f, h},
-    {f, i},
-    {g, h},
-    {g, i},
-    {h, i},
+      {f, g}, {f, h}, {f, i}, {g, h}, {g, i}, {h, i},
   };
 
   for (int j = 0; j < 10; j++) {
     for (int k = 0; k < 6; k++) {
       best = std::min(kev_eval_5cards(board[j][0], board[j][1], board[j][2],
-            hole[k][0], hole[k][1]), best);
+                                      hole[k][0], hole[k][1]),
+                      best);
     }
   }
 
@@ -76,32 +47,21 @@ TEST(EvaluationTest, TestPlo4Cards) {
   std::printf("Start testing Plo4 cards\n");
 
   for (long long count = 0; count < total; count++) {
-    std::vector<int> sample = RandomCardSample(9);
-  
-    int ph_eval = EvaluatePlo4Cards(sample[0],
-                                     sample[1],
-                                     sample[2],
-                                     sample[3],
-                                     sample[4],
-                                     sample[5],
-                                     sample[6],
-                                     sample[7],
-                                     sample[8]).value();
-
-    int kev_eval = IterateKevEval(sample[0],
-                                  sample[1],
-                                  sample[2],
-                                  sample[3],
-                                  sample[4],
-                                  sample[5],
-                                  sample[6],
-                                  sample[7],
-                                  sample[8]);
-
-    EXPECT_EQ(ph_eval, kev_eval) << "Cards are: "
-      << sample[0] << ", " << sample[1] << ", " << sample[2] << ", " << sample[3] << ", "
-      << sample[4] << ", " << sample[5] << ", " << sample[6] << ", " << sample[7] << ", "
-      << sample[8] << ", ";
+    std::vector<int> sample = cs.sample(9);
+
+    int ph_eval =
+        EvaluatePlo4Cards(sample[0], sample[1], sample[2], sample[3], sample[4],
+                          sample[5], sample[6], sample[7], sample[8])
+            .value();
+
+    int kev_eval =
+        IterateKevEval(sample[0], sample[1], sample[2], sample[3], sample[4],
+                       sample[5], sample[6], sample[7], sample[8]);
+
+    EXPECT_EQ(ph_eval, kev_eval)
+        << "Cards are: " << sample[0] << ", " << sample[1] << ", " << sample[2]
+        << ", " << sample[3] << ", " << sample[4] << ", " << sample[5] << ", "
+        << sample[6] << ", " << sample[7] << ", " << sample[8] << ", ";
 
     if (percentage(count, total) > progress) {
       progress = percentage(count, total);
@@ -114,4 +74,3 @@ TEST(EvaluationTest, TestPlo4Cards) {
   std::printf("Complete testing Plo4 cards\n");
   std::printf("Tested %lld random hands in total\n", total);
 }
-
diff --git a/cpp/test/evaluation_plo5.cc b/cpp/test/evaluation_plo5.cc
index f063db5..5dbf913 100644
--- a/cpp/test/evaluation_plo5.cc
+++ b/cpp/test/evaluation_plo5.cc
@@ -1,11 +1,11 @@
-#include <cstdio>
-#include <cassert>
+#include <phevaluator/card_sampler.h>
+#include <phevaluator/phevaluator.h>
+#include <phevaluator/rank.h>
 #include <algorithm>
+#include <cstdio>
+#include <string>
 #include <vector>
-#include <set>
-#include <chrono>
-#include <random>
-#include <phevaluator/phevaluator.h>
+
 #include "gtest/gtest.h"
 #include "kev/kev_eval.h"
 
@@ -15,58 +15,34 @@ static int percentage(long long numerator, long long denominator) {
   return numerator * 100 / denominator;
 }
 
-static unsigned seed = std::chrono::system_clock::now().time_since_epoch().count();
-static std::default_random_engine generator(seed);
-static std::uniform_int_distribution<int> distribution(0, 51);
-
-static std::vector<int> RandomCardSample(int size) {
-  std::vector<int> ret;
-  std::set<int> sample;
-
-  while (sample.size() < size) {
-    int number = distribution(generator);
-    if (sample.find(number) == sample.end()) {
-      ret.push_back(number);
-      sample.insert(number);
-    }
-  }
-
-  return ret;
-}
-
-static short IterateKevEval(int a, int b, int c, int d, int e,
-                            int f, int g, int h, int i, int j) {
+static card_sampler::CardSampler cs{};
+
+static short IterateKevEval(int a,
+                            int b,
+                            int c,
+                            int d,
+                            int e,
+                            int f,
+                            int g,
+                            int h,
+                            int i,
+                            int j) {
   short best = 20000;
 
   int board[10][3] = {
-    {a, b, c},
-    {a, b, d},
-    {a, b, e},
-    {a, c, d},
-    {a, c, e},
-    {a, d, e},
-    {b, c, d},
-    {b, c, e},
-    {b, d, e},
-    {c, d, e},
+      {a, b, c}, {a, b, d}, {a, b, e}, {a, c, d}, {a, c, e},
+      {a, d, e}, {b, c, d}, {b, c, e}, {b, d, e}, {c, d, e},
   };
   int hole[10][2] = {
-    {f, g},
-    {f, h},
-    {f, i},
-    {f, j},
-    {g, h},
-    {g, i},
-    {g, j},
-    {h, i},
-    {h, j},
-    {i, j},
+      {f, g}, {f, h}, {f, i}, {f, j}, {g, h},
+      {g, i}, {g, j}, {h, i}, {h, j}, {i, j},
   };
 
   for (int j = 0; j < 10; j++) {
     for (int k = 0; k < 10; k++) {
       best = std::min(kev_eval_5cards(board[j][0], board[j][1], board[j][2],
-            hole[k][0], hole[k][1]), best);
+                                      hole[k][0], hole[k][1]),
+                      best);
     }
   }
 
@@ -80,34 +56,22 @@ TEST(EvaluationTest, TestPlo5Cards) {
   std::printf("Start testing Plo5 cards\n");
 
   for (long long count = 0; count < total; count++) {
-    std::vector<int> sample = RandomCardSample(10);
-  
-    int ph_eval = EvaluatePlo5Cards(sample[0],
-                                    sample[1],
-                                    sample[2],
-                                    sample[3],
-                                    sample[4],
-                                    sample[5],
-                                    sample[6],
-                                    sample[7],
-                                    sample[8],
-                                    sample[9]).value();
-
-    int kev_eval = IterateKevEval(sample[0],
-                                  sample[1],
-                                  sample[2],
-                                  sample[3],
-                                  sample[4],
-                                  sample[5],
-                                  sample[6],
-                                  sample[7],
-                                  sample[8],
-                                  sample[9]);
-
-    EXPECT_EQ(ph_eval, kev_eval) << "Cards are: "
-      << sample[0] << ", " << sample[1] << ", " << sample[2] << ", " << sample[3] << ", "
-      << sample[4] << ", " << sample[5] << ", " << sample[6] << ", " << sample[7] << ", "
-      << sample[8] << ", " << sample[9];
+    std::vector<int> sample = cs.sample(10);
+
+    int ph_eval =
+        EvaluatePlo5Cards(sample[0], sample[1], sample[2], sample[3], sample[4],
+                          sample[5], sample[6], sample[7], sample[8], sample[9])
+            .value();
+
+    int kev_eval =
+        IterateKevEval(sample[0], sample[1], sample[2], sample[3], sample[4],
+                       sample[5], sample[6], sample[7], sample[8], sample[9]);
+
+    EXPECT_EQ(ph_eval, kev_eval)
+        << "Cards are: " << sample[0] << ", " << sample[1] << ", " << sample[2]
+        << ", " << sample[3] << ", " << sample[4] << ", " << sample[5] << ", "
+        << sample[6] << ", " << sample[7] << ", " << sample[8] << ", "
+        << sample[9];
 
     if (percentage(count, total) > progress) {
       progress = percentage(count, total);
@@ -120,4 +84,3 @@ TEST(EvaluationTest, TestPlo5Cards) {
   std::printf("Complete testing Plo5 cards\n");
   std::printf("Tested %lld random hands in total\n", total);
 }
-
diff --git a/cpp/test/evaluation_plo6.cc b/cpp/test/evaluation_plo6.cc
index 2810c6b..46c5a48 100644
--- a/cpp/test/evaluation_plo6.cc
+++ b/cpp/test/evaluation_plo6.cc
@@ -1,11 +1,11 @@
-#include <cstdio>
-#include <cassert>
+#include <phevaluator/card_sampler.h>
+#include <phevaluator/phevaluator.h>
+#include <phevaluator/rank.h>
 #include <algorithm>
+#include <cstdio>
+#include <string>
 #include <vector>
-#include <set>
-#include <chrono>
-#include <random>
-#include <phevaluator/phevaluator.h>
+
 #include "gtest/gtest.h"
 #include "kev/kev_eval.h"
 
@@ -15,63 +15,35 @@ static int percentage(long long numerator, long long denominator) {
   return numerator * 100 / denominator;
 }
 
-static unsigned seed = std::chrono::system_clock::now().time_since_epoch().count();
-static std::default_random_engine generator(seed);
-static std::uniform_int_distribution<int> distribution(0, 51);
-
-static std::vector<int> RandomCardSample(int size) {
-  std::vector<int> ret;
-  std::set<int> sample;
-
-  while (sample.size() < size) {
-    int number = distribution(generator);
-    if (sample.find(number) == sample.end()) {
-      ret.push_back(number);
-      sample.insert(number);
-    }
-  }
-
-  return ret;
-}
-
-static short IterateKevEval(int a, int b, int c, int d, int e,
-                            int f, int g, int h, int i, int j, int k) {
+static card_sampler::CardSampler cs{};
+
+static short IterateKevEval(int a,
+                            int b,
+                            int c,
+                            int d,
+                            int e,
+                            int f,
+                            int g,
+                            int h,
+                            int i,
+                            int j,
+                            int k) {
   short best = 20000;
 
   int board[10][3] = {
-    {a, b, c},
-    {a, b, d},
-    {a, b, e},
-    {a, c, d},
-    {a, c, e},
-    {a, d, e},
-    {b, c, d},
-    {b, c, e},
-    {b, d, e},
-    {c, d, e},
+      {a, b, c}, {a, b, d}, {a, b, e}, {a, c, d}, {a, c, e},
+      {a, d, e}, {b, c, d}, {b, c, e}, {b, d, e}, {c, d, e},
   };
   int hole[15][2] = {
-    {f, g},
-    {f, h},
-    {f, i},
-    {f, j},
-    {f, k},
-    {g, h},
-    {g, i},
-    {g, j},
-    {g, k},
-    {h, i},
-    {h, j},
-    {h, k},
-    {i, j},
-    {i, k},
-    {j, k},
+      {f, g}, {f, h}, {f, i}, {f, j}, {f, k}, {g, h}, {g, i}, {g, j},
+      {g, k}, {h, i}, {h, j}, {h, k}, {i, j}, {i, k}, {j, k},
   };
 
   for (int j = 0; j < 10; j++) {
     for (int k = 0; k < 15; k++) {
       best = std::min(kev_eval_5cards(board[j][0], board[j][1], board[j][2],
-            hole[k][0], hole[k][1]), best);
+                                      hole[k][0], hole[k][1]),
+                      best);
     }
   }
 
@@ -85,36 +57,22 @@ TEST(EvaluationTest, TestPlo6Cards) {
   std::printf("Start testing Plo6 cards\n");
 
   for (long long count = 0; count < total; count++) {
-    std::vector<int> sample = RandomCardSample(11);
-  
-    int ph_eval = EvaluatePlo6Cards(sample[0],
-                                    sample[1],
-                                    sample[2],
-                                    sample[3],
-                                    sample[4],
-                                    sample[5],
-                                    sample[6],
-                                    sample[7],
-                                    sample[8],
-                                    sample[9],
-                                    sample[10]).value();
-
-    int kev_eval = IterateKevEval(sample[0],
-                                  sample[1],
-                                  sample[2],
-                                  sample[3],
-                                  sample[4],
-                                  sample[5],
-                                  sample[6],
-                                  sample[7],
-                                  sample[8],
-                                  sample[9],
-                                  sample[10]);
-
-    EXPECT_EQ(ph_eval, kev_eval) << "Cards are: "
-      << sample[0] << ", " << sample[1] << ", " << sample[2] << ", " << sample[3] << ", "
-      << sample[4] << ", " << sample[5] << ", " << sample[6] << ", " << sample[7] << ", "
-      << sample[8] << ", " << sample[9] << ", " << sample[10];
+    std::vector<int> sample = cs.sample(11);
+
+    int ph_eval = EvaluatePlo6Cards(sample[0], sample[1], sample[2], sample[3],
+                                    sample[4], sample[5], sample[6], sample[7],
+                                    sample[8], sample[9], sample[10])
+                      .value();
+
+    int kev_eval = IterateKevEval(sample[0], sample[1], sample[2], sample[3],
+                                  sample[4], sample[5], sample[6], sample[7],
+                                  sample[8], sample[9], sample[10]);
+
+    EXPECT_EQ(ph_eval, kev_eval)
+        << "Cards are: " << sample[0] << ", " << sample[1] << ", " << sample[2]
+        << ", " << sample[3] << ", " << sample[4] << ", " << sample[5] << ", "
+        << sample[6] << ", " << sample[7] << ", " << sample[8] << ", "
+        << sample[9] << ", " << sample[10];
 
     if (percentage(count, total) > progress) {
       progress = percentage(count, total);
@@ -127,4 +85,3 @@ TEST(EvaluationTest, TestPlo6Cards) {
   std::printf("Complete testing Plo6 cards\n");
   std::printf("Tested %lld random hands in total\n", total);
 }
-

From 18af554ff31a749acaa2bcdc60dcd3a057be2452 Mon Sep 17 00:00:00 2001
From: azriel1rf <azriel.1rf@gmail.com>
Date: Fri, 3 May 2024 07:48:07 +0900
Subject: [PATCH 2/4] Improve formatting of Algorithm.md and python/README.md
 (#96)

* Format Algorithm.md

* fix README.md
---
 Documentation/Algorithm.md | 170 +++++++++++++++++++------------------
 python/README.md           |  29 +++++--
 2 files changed, 113 insertions(+), 86 deletions(-)

diff --git a/Documentation/Algorithm.md b/Documentation/Algorithm.md
index dc841ce..896b224 100644
--- a/Documentation/Algorithm.md
+++ b/Documentation/Algorithm.md
@@ -8,6 +8,7 @@
 - [Chapter 4: The Ultimate Dynamic Programming](#chapter4)
 
 <a name="chapter1"></a>
+
 ## Chapter 1: A Basic Evaluation Algorithm
 
 The algorithm we are describing here, is suitable for hands with 5 to 9 cards.
@@ -20,7 +21,7 @@ a 52-bit binary uniquely, with exactly 7 bits set to 1 and 45 bits set to 0.
 
 For example, if a hand has
 
-```
+```text
  5 of Spades,
  4 of Clubs,
  7 of Spades,
@@ -32,7 +33,7 @@ For example, if a hand has
 
 we can have such a 52-bit binary as a represenation:
 
-```
+```text
  |   Spades   |   Hearts   |  Diamonds  |   Clubs   |
  23456789TJQKA23456789TJQKA23456789TJQKA23456789TJQKA
  0001010010000000100000000000000000010000010000000001
@@ -50,7 +51,7 @@ lexicographical ordering, this functions is exactly the perfect hash function.
 
 Let's formalize this to a more general problem, and name it HashNBinaryKSum.
 
-```
+```text
  Problem: HashNBinaryKSum
 
  Input: integer n, integer k, an n-bit binary with exactly k bits set to 1
@@ -62,8 +63,8 @@ Let's formalize this to a more general problem, and name it HashNBinaryKSum.
 Consider an example with n = 4 and k = 2, the binary 0011 should return 1, and
 1010 should return 5.
 
-```
-	0011 0101 0110 1001 1010 1100
+```text
+  0011 0101 0110 1001 1010 1100
 ```
 
 The problem can be solved in recursions. In order to get the position in the
@@ -83,24 +84,24 @@ We can optimize the recursion to a loop, and the sample C code is shown below.
 ```c
 int hash_binary(unsigned char q[], int len, int k)
 {
-	int sum = 0;
-	int i;
+  int sum = 0;
+  int i;
 
-	for (i=0; i<len; i++)
-	{
-		if (q[i])
-		{
-			if (len-i-1 >= k)
-				sum += choose[len-i-1][k];
+  for (i=0; i<len; i++)
+  {
+    if (q[i])
+    {
+      if (len-i-1 >= k)
+        sum += choose[len-i-1][k];
 
-			k--;
+      k--;
 
-			if (k == 0)
-				break;
-		}
-	}
+      if (k == 0)
+        break;
+    }
+  }
 
-	return ++sum;
+  return ++sum;
 }
 ```
 
@@ -119,6 +120,7 @@ Proceed to chapter 2, you will find out how a more advanced algorithm can solve
 the problem.
 
 <a name="chapter2"></a>
+
 ## Chapter 2: Evaluate the Flushes First
 
 What makes a poker evaluator complicated, is the Flush category (including the
@@ -150,7 +152,7 @@ function that evaluates flush hands.
 
 For example, given the input:
 
-```
+```text
  5 of Spades,
  4 of Spades,
  7 of Spades,
@@ -162,7 +164,7 @@ For example, given the input:
 
 our 4 counters and binaries are:
 
-```
+```text
  Spades:     counter 5, binary 0000101101100
  Hearts:     counter 0, binary 0000000000000
  Clubs:      counter 1, binary 1000000000000
@@ -186,6 +188,7 @@ non-flush branch, and compare both results.
 We will discuss how to evaluate the quinary in the next chapter.
 
 <a name="chapter3"></a>
+
 ## Chapter 3: Hash For a Restricted Quinary
 
 Recall that for a hand that suits no longer matters, we can represent a 7-card
@@ -201,14 +204,14 @@ did in the binary hash, if we sort all the quinary in lexicographical order,
 where the sum of all bits of each quinary is equal to 7, the position in this
 ordering is a perfect hash of this quinary.
 
-```
+```text
  Problem: HashNQuinaryKSum
 
- Input: integer n, integer k, an (n+1)-bit quinary with the sum of all bits equal to
- k
+ Input: integer n, integer k, an (n+1)-bit quinary with the sum of all bits
+  equal to k
 
  Output: the position of the quinary in the lexicographical ordering of all
- (n+1)-bit quinaries with sum of all bits equal to k
+  (n+1)-bit quinaries with sum of all bits equal to k
 ```
 
 Similar to what we did in the binary hash, in order to get the position of the
@@ -232,49 +235,53 @@ sum of the result of the 5 subproblems with range of exactly a power of 5.
 
 We can use dynamic programming to solve all these subproblems, and store the
 result in an array. Let's use a 3-d array `dp[l][n][k]` of size `5*14*8`,
-where n is the number of trailing zero bits, k is the remaining number of k, and l is the
-most significant bit of the excluding endpoint. For
+where n is the number of trailing zero bits, k is the remaining number of k, and
+l is the most significant bit of the excluding endpoint. For
 example, the result of `[0000, 1000)` is stored in `dp[1][3][k]`, as the
 excluding endpoint is 1000, resulting l to be 1 and n to be 3. Another
 example is `[000, 200)`, whose result is stored in `dp[2][2][k]`.
 
 The base cases for the array dp:
 
-```
+```pseudocode
   if 0 <= i <= 4:
     dp[1][1][i] = 1;
   if i > 4:
     dp[1][1][i] = 0;
 ```
+
 For example, for `[00, 10)` with `k=4` there's only one legal quinary (04)
-However there is no instance for a quinary in the same range with `k=5` or any `k` larger than 4.
+However there is no instance for a quinary in the same range with `k=5` or any
+`k` larger than 4.
 
 Then we iterate the edges:
 
-```
+```pseudocode
   for each i in [2, 13]:
-    dp[1][i][1] = i; 
+    dp[1][i][1] = i;
     dp[1][i][0] = 1;
 ```
 
-For example, a 4-bit quinary with k=1 (`dp[1][3][1]`) has three quinaries: 001, 010, 100. 
+For example, a 4-bit quinary with k=1 (`dp[1][3][1]`) has three quinaries: 001,
+010, 100.
 If `k=0`, the only legal quinary 000.
 
-Now we can iterate all `dp[1][i][j]`. We do this by iterating the next digit from 0 to 4 
-and evaluating the shorter expression for smaller `k`. :
+Now we can iterate all `dp[1][i][j]`. We do this by iterating the next digit
+from 0 to 4 and evaluating the shorter expression for smaller `k`. :
 
-```
+```pseudocode
   for each i in [2, 13] and j in [2, 7]:
     dp[1][i][j] = SUM{k:[0,4]}dp[1][i-1][j-k];
 ```
 
-For example, to evaluate `dp[1][2][7]` (range `[000,100)` with `k=7`), we need to 
-enumerate the second bit from 0 to 4. This means summing for 07, 16, 25, 34, 43. 
-Notice that 07, 16, 25 are invalid and `dp[1][1][k] = 0 (for k > 4)` will ignore them.
+For example, to evaluate `dp[1][2][7]` (range `[000,100)` with `k=7`), we need to
+enumerate the second bit from 0 to 4. This means summing for 07, 16, 25, 34, 43.
+Notice that 07, 16, 25 are invalid and `dp[1][1][k] = 0 (for k > 4)` will ignore
+them.
 
 Now the iteration for the rest of the entries:
 
-```
+```pseudocode
   for each l in [2, 4] and i in [1, 13] and j in [0, 7]:
     dp[l][i][j] = dp[l-1][i][j] + dp[1][i][j-l+1]
 ```
@@ -282,7 +289,7 @@ Now the iteration for the rest of the entries:
 For example `dp[4][4][5]`, which is equivalent to the number of valid
 quinaries in the range `[00000, 40000)` with k=5. It can be splitted into
 `[00000, 30000)` with k=5, and `[30000, 40000)`. The former one is `dp[3][4][5]`,
- the latter one is equivalent to `[00000, 10000)` with k=k-3, which is
+the latter one is equivalent to `[00000, 10000)` with k=k-3, which is
 `dp[1][4][2]`.
 
 Finally we can compute the hash of the quinary base on the dp arrays. The
@@ -291,19 +298,19 @@ example C code is shown below.
 ```c
 int hash_quinary(unsigned char q[], int len, int k)
 {
-	int sum = 0;
-	int i;
+  int sum = 0;
+  int i;
 
-	for (i=0; i<len; i++) {
-		sum += dp[q[i]][len-i-1][k];
+  for (i=0; i<len; i++) {
+    sum += dp[q[i]][len-i-1][k];
 
-		k -= q[i];
+    k -= q[i];
 
-		if (k <= 0)
-			break;
-	}
+    if (k <= 0)
+      break;
+  }
 
-	return ++sum;
+  return ++sum;
 }
 ```
 
@@ -314,6 +321,7 @@ takes at most 13 cycles to compute. This algorithm is much better than any
 others that do 7-card poker evaluation by checking all 21 combinations.
 
 <a name="chapter4"></a>
+
 ## Chapter 4: The Ultimate Dynamic Programming Algorithm
 
 Recall that in chapter one, we managed to find a mapping from a 52-bit
@@ -324,7 +332,7 @@ function, it's still a useful approach.
 
 Let's go back to that problem HashNBinaryKSum:
 
-```
+```text
  Problem: HashNBinaryKSum
 
  Input: integer n, integer k, an n-bit binary with exactly k bits set to 1
@@ -335,38 +343,38 @@ Let's go back to that problem HashNBinaryKSum:
 
 More specificly, we are trying to solve a problem with n = 52 and k = 7. If we
 split the 52-bit binary into 4 blocks, where each block has 13 bits, we can
-precompute the results in a table in size 2^13 * 4 * 8, and do only 4 summations
+precompute the results in a table in size 2^13 \* 4 \* 8, and do only 4 summations
 in the actual hash function. In practice, it would be easier if we use a 16-bit
-block instead of 13, making the table in size 2^16 * 4 * 8.
+block instead of 13, making the table in size 2^16 \* 4 \* 8.
 
 Precomputing this table is similar to the methods we used in the previous
 chapters. I'll just put the sample C code here and omit the explanations.
 
 ```c
 {
-	int dp[65536][4][8]; 
+  int dp[65536][4][8];
 
-	for (i=0; i<65536; i++) {
-		for (j=0; j<4; j++) {
-			for (k=0; k<8; k++) {
-				int ck = k;
-				int s;
-				int sum = 0;
+  for (i=0; i<65536; i++) {
+    for (j=0; j<4; j++) {
+      for (k=0; k<8; k++) {
+        int ck = k;
+        int s;
+        int sum = 0;
 
-				for (s=15; s>=0; s--) {
-					if (i & (1 << s)) {
-						int n = j*16 + s;
+        for (s=15; s>=0; s--) {
+          if (i & (1 << s)) {
+            int n = j*16 + s;
 
-						sum += choose[n][ck];
+            sum += choose[n][ck];
 
-						ck--;
-					}
-				}
+            ck--;
+          }
+        }
 
-				dp[i][j][k] = sum;
-			}
-		}
-	}
+        dp[i][j][k] = sum;
+      }
+    }
+  }
 }
 ```
 
@@ -376,22 +384,22 @@ code is shown below.
 ```c
 int fast_hash(unsigned long long handid, int k)
 {
-	int hash = 0;
+  int hash = 0;
 
-	unsigned short * a = (unsigned short *)&handid;
+  unsigned short * a = (unsigned short *)&handid;
 
-	hash += dp_fast[a[3]][3][k];
-	k -= bitcount[a[3]];
+  hash += dp_fast[a[3]][3][k];
+  k -= bitcount[a[3]];
 
-	hash += dp_fast[a[2]][2][k];
-	k -= bitcount[a[2]];
+  hash += dp_fast[a[2]][2][k];
+  k -= bitcount[a[2]];
 
-	hash += dp_fast[a[1]][1][k];
-	k -= bitcount[a[1]];
+  hash += dp_fast[a[1]][1][k];
+  k -= bitcount[a[1]];
 
-	hash += dp_fast[a[0]][0][k];
+  hash += dp_fast[a[0]][0][k];
 
-	return hash;
+  return hash;
 }
 ```
 
@@ -399,7 +407,7 @@ Although this algorithm takes very few CPU cycles to compute the hash value (4
 summations and 3 decrements), the overall performance is worse than what we used
 in the previous chapter. Part of the reason might be the dp table is greater
 than a normal page size (64Kbytes). If we cut the block into 8 bits and use a
-table of size 2^8 * 8 * 8, which will double the  number of operations in the
+table of size 2^8 \* 8 \* 8, which will double the number of operations in the
 hash function (8 summations and 7 decrements), the performance seems to improve,
 but still doesn't beat the algorithm used in the previous chapter under my
 environment.
diff --git a/python/README.md b/python/README.md
index 39cd241..73e9677 100644
--- a/python/README.md
+++ b/python/README.md
@@ -1,4 +1,5 @@
 # PH Evaluator Python package (phevaluator)
+
 [![GitHub Workflow Status](https://img.shields.io/github/workflow/status/HenryRLee/PokerHandEvaluator/CI?color=green&logo=github)](https://github.com/HenryRLee/PokerHandEvaluator/actions/workflows/ci.yml)
 [![PyPI version](https://badge.fury.io/py/phevaluator.svg)](https://badge.fury.io/py/phevaluator)
 [![PyPI downloads](https://img.shields.io/pypi/dm/phevaluator)](https://shields.io/category/downloads)
@@ -15,18 +16,25 @@ modification, the same algorithm can be also applied to evaluating Omaha
 poker hands.
 
 ## Installation
+
 The library requires Python 3.
+
 - from release on PyPI
+
     ```shell
     pip install phevaluator
     ```
+
 - from source code
+
     ```shell
     pip install .
     ```
 
 ## Using the library
+
 The main function is the `evaluate_cards` function.
+
 ```python
 from phevaluator.evaluator import evaluate_cards
 
@@ -37,11 +45,16 @@ p2 = evaluate_cards("9c", "4c", "4s", "9d", "4h", "2c", "9h")
 print(f"The rank of the hand in player 1 is {p1}") # 292
 print(f"The rank of the hand in player 2 is {p2}") # 236
 ```
-The function can take both numbers and card strings (with a format like: 'Ah' or '2C'). Usage examples can be seen in `examples.py`.
+
+The function can take both numbers and card strings (with a format like: 'Ah' or
+'2C'). Usage examples can be seen in `examples.py`.
 
 ## Test
-- The pre-calculated tables (`phevaluator.tables`) are tested by comparing them with the tables generated by test codes.
-- The functionality of the evaluators is tested by comparing with the JSON files generated by the original C++ evaluator.
+
+- The pre-calculated tables (`phevaluator.tables`) are tested by comparing them
+  with the tables generated by test codes.
+- The functionality of the evaluators is tested by comparing with the JSON files
+  generated by the original C++ evaluator.
 - The functionality of the other modules is tested by its purposes.
 
 ```shell
@@ -49,20 +62,26 @@ python3 -m unittest discover -v
 ```
 
 ## Development
+
 - install from source code with `editable mode`
+
     ```shell
     pip install -e .
     ```
-    The installed package reflects changes to files inside the `phevaluator` folder automatically.
+
+    The installed package reflects changes to files inside the `phevaluator`
+    folder automatically.
 
 - recommended to format with [`black`](https://github.com/psf/black) before commit
 
     check where to correct (without formatting)
+
     ```shell
     black . --diff --color
     ```
+
     format all
+
     ```shell
     black .
     ```
-

From 8de95ab2e812acff88543e754befc43a0cd81569 Mon Sep 17 00:00:00 2001
From: azriel1rf <azriel.1rf@gmail.com>
Date: Fri, 3 May 2024 08:12:48 +0900
Subject: [PATCH 3/4] Improve Python Code Formatting and Quality (#94)

* Fix setup.cfg

* Refactor Python codes with Ruff and manual fixing.
---
 python/benchmark.py                         | 14 +++--
 python/examples.py                          |  9 +--
 python/phevaluator/__init__.py              | 13 ++--
 python/phevaluator/card.py                  | 61 ++++++++++---------
 python/phevaluator/evaluator.py             | 28 ++++-----
 python/phevaluator/evaluator_omaha.py       | 61 +++++++++++++------
 python/phevaluator/hash.py                  | 10 ++-
 python/phevaluator/utils.py                 |  5 +-
 python/setup.cfg                            | 20 +++---
 python/tests/table_tests/test_dptables.py   | 67 ++++++++++++---------
 python/tests/table_tests/test_hashtable.py  | 29 +++++----
 python/tests/table_tests/test_hashtable5.py | 41 +++++++------
 python/tests/table_tests/test_hashtable6.py |  4 +-
 python/tests/table_tests/test_hashtable7.py |  4 +-
 python/tests/table_tests/utils.py           | 49 +++++++++------
 python/tests/test_card.py                   | 27 +++++----
 python/tests/test_evalator_omaha.py         | 41 +++++++------
 python/tests/test_evaluator.py              | 33 +++++-----
 18 files changed, 287 insertions(+), 229 deletions(-)

diff --git a/python/benchmark.py b/python/benchmark.py
index 9aaf635..5143b26 100644
--- a/python/benchmark.py
+++ b/python/benchmark.py
@@ -1,32 +1,34 @@
 import time
 from itertools import combinations
 
-from phevaluator import _evaluate_cards, _evaluate_omaha_cards, sample_cards
+from phevaluator import _evaluate_cards
+from phevaluator import _evaluate_omaha_cards
+from phevaluator import sample_cards
 
 
-def evaluate_all_five_card_hands():
+def evaluate_all_five_card_hands() -> None:
     for cards in combinations(range(52), 5):
         _evaluate_cards(*cards)
 
 
-def evaluate_all_six_card_hands():
+def evaluate_all_six_card_hands() -> None:
     for cards in combinations(range(52), 6):
         _evaluate_cards(*cards)
 
 
-def evaluate_all_seven_card_hands():
+def evaluate_all_seven_card_hands() -> None:
     for cards in combinations(range(52), 7):
         _evaluate_cards(*cards)
 
 
-def evaluate_random_omaha_card_hands():
+def evaluate_random_omaha_card_hands() -> None:
     total = 100_000
     for _ in range(total):
         cards = sample_cards(9)
         _evaluate_omaha_cards(cards[:5], cards[5:])
 
 
-def benchmark():
+def benchmark() -> None:
     print("--------------------------------------------------------------------")
     print("Benchmark                              Time")
     t = time.process_time()
diff --git a/python/examples.py b/python/examples.py
index 6b949bd..b075afe 100644
--- a/python/examples.py
+++ b/python/examples.py
@@ -1,7 +1,8 @@
-from phevaluator import evaluate_cards, evaluate_omaha_cards
+from phevaluator import evaluate_cards
+from phevaluator import evaluate_omaha_cards
 
 
-def example1():
+def example1() -> None:
     print("Example 1: A Texas Holdem example")
 
     a = 7 * 4 + 0  # 9c
@@ -26,7 +27,7 @@ def example1():
     print("Player 2 has a stronger hand")
 
 
-def example2():
+def example2() -> None:
     print("Example 2: Another Texas Holdem example")
 
     rank1 = evaluate_cards("9c", "4c", "4s", "9d", "4h", "Qc", "6c")  # expected 292
@@ -37,7 +38,7 @@ def example2():
     print("Player 2 has a stronger hand")
 
 
-def example3():
+def example3() -> None:
     print("Example 3: An Omaha poker example")
     # fmt: off
     rank1 = evaluate_omaha_cards(
diff --git a/python/phevaluator/__init__.py b/python/phevaluator/__init__.py
index 6e0ea55..6ad9ad8 100644
--- a/python/phevaluator/__init__.py
+++ b/python/phevaluator/__init__.py
@@ -1,6 +1,6 @@
 """Package for evaluating a poker hand."""
-from . import hash as hash_  # FIXME: `hash` collides to built-in function
 
+from typing import Any
 
 # import mapping to objects in other modules
 all_by_module = {
@@ -8,7 +8,7 @@
     "phevaluator.card": ["Card"],
     "phevaluator.evaluator": ["_evaluate_cards", "evaluate_cards"],
     "phevaluator.evaluator_omaha": ["_evaluate_omaha_cards", "evaluate_omaha_cards"],
-    "phevaluator.utils": ["sample_cards"]
+    "phevaluator.utils": ["sample_cards"],
 }
 
 # Based on werkzeug library
@@ -21,10 +21,11 @@
 
 
 # Based on https://peps.python.org/pep-0562/ and werkzeug library
-def __getattr__(name):
-    """lazy submodule imports"""
+def __getattr__(name: str) -> Any:  # noqa: ANN401
+    """Lazy submodule imports."""
     if name in object_origins:
         module = __import__(object_origins[name], None, None, [name])
         return getattr(module, name)
-    else:
-        raise AttributeError(f"module {__name__!r} has no attribute {name!r}")
+
+    msg = f"module {__name__!r} has no attribute {name!r}"
+    raise AttributeError(msg)
diff --git a/python/phevaluator/card.py b/python/phevaluator/card.py
index 631afe1..bdfd0a6 100644
--- a/python/phevaluator/card.py
+++ b/python/phevaluator/card.py
@@ -1,7 +1,9 @@
 """Module for card."""
+
 from __future__ import annotations
 
-from typing import Any, Union
+
+CARD_DESCRIPTION_LENGTH = 2
 
 # fmt: off
 rank_map = {
@@ -10,7 +12,7 @@
 }
 suit_map = {
     "C": 0, "D": 1, "H": 2, "S": 3,
-    "c": 0, "d": 1, "h": 2, "s": 3
+    "c": 0, "d": 1, "h": 2, "s": 3,
 }
 # fmt: on
 
@@ -63,33 +65,33 @@ class Card:
             The string parameter of the constructor should be exactly 2 characters.
 
             >>> Card("9h")  # OK
-            >>> Card("9h ") # ERROR
+            >>> Card("9h ")  # ERROR
 
         TypeError: Construction with unsupported type
             The parameter of the constructor should be one of the following types: [int,
             str, Card].
-            >>> Card(0)       # OK. The 0 stands 2 of Clubs
-            >>> Card("2c")    # OK
-            >>> Card("2C")    # OK. Capital letter is also accepted.
-            >>> Card(Card(0)) # OK
-            >>> Card(0.0)     # ERROR. float is not allowed
+            >>> Card(0)  # OK. The 0 stands 2 of Clubs
+            >>> Card("2c")  # OK
+            >>> Card("2C")  # OK. Capital letter is also accepted.
+            >>> Card(Card(0))  # OK
+            >>> Card(0.0)  # ERROR. float is not allowed
 
         TypeError: Setting attribute
             >>> c = Card("2c")
-            >>> c.__id = 1      # ERROR
-            >>> c._Card__id = 1 # ERROR
+            >>> c.__id = 1  # ERROR
+            >>> c._Card__id = 1  # ERROR
 
         TypeError: Deliting attribute
             >>> c = Card("2c")
-            >>> del c.__id      # ERROR
-            >>> del c._Card__id # ERROR
+            >>> del c.__id  # ERROR
+            >>> del c._Card__id  # ERROR
 
     """
 
     __slots__ = ["__id"]
     __id: int
 
-    def __init__(self, other: Union[int, str, Card]):
+    def __init__(self, other: int | str | Card) -> None:
         """Construct card object.
 
         If the passed argument is integer, it's set to `self.__id`.
@@ -128,7 +130,7 @@ def id_(self) -> int:
         return self.__id
 
     @staticmethod
-    def to_id(other: Union[int, str, Card]) -> int:
+    def to_id(other: int | str | Card) -> int:
         """Return the Card ID integer as API.
 
         If the passed argument is integer, it's returned with doing nothing.
@@ -149,17 +151,20 @@ def to_id(other: Union[int, str, Card]) -> int:
         """
         if isinstance(other, int):
             return other
-        elif isinstance(other, str):
-            if len(other) != 2:
-                raise ValueError(f"The length of value must be 2. passed: {other}")
+        if isinstance(other, str):
+            if len(other) != CARD_DESCRIPTION_LENGTH:
+                msg = (
+                    f"The length of value must be {CARD_DESCRIPTION_LENGTH}. "
+                    f"passed: {other}"
+                )
+                raise ValueError(msg)
             rank, suit, *_ = tuple(other)
             return rank_map[rank] * 4 + suit_map[suit]
-        elif isinstance(other, Card):
+        if isinstance(other, Card):
             return other.id_
 
-        raise TypeError(
-            f"Type of parameter must be int, str or Card. passed: {type(other)}"
-        )
+        msg = f"Type of parameter must be int, str or Card. passed: {type(other)}"
+        raise TypeError(msg)
 
     def describe_rank(self) -> str:
         """Calculate card rank.
@@ -212,7 +217,7 @@ def describe_card(self) -> str:
         """
         return self.describe_rank() + self.describe_suit()
 
-    def __eq__(self, other: Any) -> bool:
+    def __eq__(self, other: object) -> bool:
         """Return equality. This is special method.
 
         Args:
@@ -262,10 +267,12 @@ def __hash__(self) -> int:
         """int: Special method for `hash(self)`."""
         return hash(self.id_)
 
-    def __setattr__(self, name: str, value: Any) -> None:
-        """Set an attribute. This causes TypeError since assignment to attribute is prevented."""
-        raise TypeError("Card object does not support assignment to attribute")
+    def __setattr__(self, name: str, value: object) -> None:
+        """Set an attribute. This causes TypeError since assignment is prevented."""
+        msg = "Card object does not support assignment to attribute"
+        raise TypeError(msg)
 
     def __delattr__(self, name: str) -> None:
-        """Delete an attribute. This causes TypeError since deletion of attribute is prevented."""
-        raise TypeError("Card object does not support deletion of attribute")
+        """Delete an attribute. This causes TypeError since deletion is prevented."""
+        msg = "Card object does not support deletion of attribute"
+        raise TypeError(msg)
diff --git a/python/phevaluator/evaluator.py b/python/phevaluator/evaluator.py
index 524a09b..2a2b07d 100644
--- a/python/phevaluator/evaluator.py
+++ b/python/phevaluator/evaluator.py
@@ -1,17 +1,16 @@
 """Module evaluating cards."""
-from typing import Union
+
+from __future__ import annotations
 
 from .card import Card
 from .hash import hash_quinary
-from .tables import (
-    BINARIES_BY_ID,
-    FLUSH,
-    NO_FLUSH_5,
-    NO_FLUSH_6,
-    NO_FLUSH_7,
-    SUITBIT_BY_ID,
-    SUITS,
-)
+from .tables import BINARIES_BY_ID
+from .tables import FLUSH
+from .tables import NO_FLUSH_5
+from .tables import NO_FLUSH_6
+from .tables import NO_FLUSH_7
+from .tables import SUITBIT_BY_ID
+from .tables import SUITS
 
 MIN_CARDS = 5
 MAX_CARDS = 7
@@ -19,7 +18,7 @@
 NO_FLUSHES = {5: NO_FLUSH_5, 6: NO_FLUSH_6, 7: NO_FLUSH_7}
 
 
-def evaluate_cards(*cards: Union[int, str, Card]) -> int:
+def evaluate_cards(*cards: int | str | Card) -> int:
     """Evaluate cards for the best five cards.
 
     This function selects the best combination of the five cards from given cards and
@@ -27,7 +26,7 @@ def evaluate_cards(*cards: Union[int, str, Card]) -> int:
     The number of cards must be between 5 and 7.
 
     Args:
-        cards(Union[int, str, Card]): List of cards
+        cards(int | str | Card): List of cards
 
     Raises:
         ValueError: Unsupported size of the cards
@@ -39,17 +38,18 @@ def evaluate_cards(*cards: Union[int, str, Card]) -> int:
         >>> rank1 = evaluate_cards("Ac", "Ad", "Ah", "As", "Kc")
         >>> rank2 = evaluate_cards("Ac", "Ad", "Ah", "As", "Kd")
         >>> rank3 = evaluate_cards("Ac", "Ad", "Ah", "As", "Kc", "Qh")
-        >>> rank1 == rank2 == rank3 # Those three are evaluated by `A A A A K`
+        >>> rank1 == rank2 == rank3  # Those three are evaluated by `A A A A K`
         True
     """
     int_cards = list(map(Card.to_id, cards))
     hand_size = len(cards)
 
     if not (MIN_CARDS <= hand_size <= MAX_CARDS) or (hand_size not in NO_FLUSHES):
-        raise ValueError(
+        msg = (
             f"The number of cards must be between {MIN_CARDS} and {MAX_CARDS}."
             f"passed size: {hand_size}"
         )
+        raise ValueError(msg)
 
     return _evaluate_cards(*int_cards)
 
diff --git a/python/phevaluator/evaluator_omaha.py b/python/phevaluator/evaluator_omaha.py
index 8af672d..1984c96 100644
--- a/python/phevaluator/evaluator_omaha.py
+++ b/python/phevaluator/evaluator_omaha.py
@@ -2,14 +2,20 @@
 
 from __future__ import annotations
 
-from typing import List, Union
-
 from .card import Card
-from .hash import hash_binary, hash_quinary
-from .tables import BINARIES_BY_ID, FLUSH, FLUSH_OMAHA, NO_FLUSH_OMAHA
+from .hash import hash_binary
+from .hash import hash_quinary
+from .tables import BINARIES_BY_ID
+from .tables import FLUSH
+from .tables import FLUSH_OMAHA
+from .tables import NO_FLUSH_OMAHA
+
+COMMUNITY_CARD_COUNT = 5
+HOLE_CARD_COUNT = 4
+TOTAL_CARD_COUNT = COMMUNITY_CARD_COUNT + HOLE_CARD_COUNT
 
 
-def evaluate_omaha_cards(*cards: Union[int, str, Card]) -> int:
+def evaluate_omaha_cards(*cards: int | str | Card) -> int:
     """Evaluate cards in Omaha game.
 
     In the Omaha rule, players can make hand with 3 cards from the 5 community cards and
@@ -17,7 +23,7 @@ def evaluate_omaha_cards(*cards: Union[int, str, Card]) -> int:
     This function selects the best combination and return its rank.
 
     Args:
-        cards(Union[int, str, Card]): List of cards
+        cards(int | str | Card]): List of cards
             The first five parameters are the community cards.
             The later four parameters are the player hole cards.
 
@@ -38,21 +44,27 @@ def evaluate_omaha_cards(*cards: Union[int, str, Card]) -> int:
                 "Ad", "Kd", "Qd", "Jd"        # ["Ad", "Kd"]
             )
 
-        >>> rank1 == rank2 # Both of them are evaluated by `A K 9 9 6`
+        >>> rank1 == rank2  # Both of them are evaluated by `A K 9 9 6`
         True
     """
     int_cards = list(map(Card.to_id, cards))
     hand_size = len(cards)
 
-    if hand_size != 9:
-        raise ValueError(f"The number of cards must be 9. passed size: {hand_size}")
+    if hand_size != TOTAL_CARD_COUNT:
+        msg = (
+            f"The number of cards must be {TOTAL_CARD_COUNT}.",
+            f"passed size: {hand_size}",
+        )
+        raise ValueError(msg)
 
-    community_cards = int_cards[:5]
-    hole_cards = int_cards[5:]
+    community_cards = int_cards[:COMMUNITY_CARD_COUNT]
+    hole_cards = int_cards[COMMUNITY_CARD_COUNT:]
     return _evaluate_omaha_cards(community_cards, hole_cards)
 
 
-def _evaluate_omaha_cards(community_cards: List[int], hole_cards: List[int]) -> int:
+# TODO(@azriel1rf): `_evaluate_omaha_cards` is too complex. Consider refactoring.
+# https://github.com/HenryRLee/PokerHandEvaluator/issues/92
+def _evaluate_omaha_cards(community_cards: list[int], hole_cards: list[int]) -> int:  # noqa: C901, PLR0912
     value_flush = 10000
     value_noflush = 10000
     suit_count_board = [0] * 4
@@ -64,9 +76,15 @@ def _evaluate_omaha_cards(community_cards: List[int], hole_cards: List[int]) ->
     for hole_card in hole_cards:
         suit_count_hole[hole_card % 4] += 1
 
+    min_flush_count_board = 3
+    min_flush_count_hole = 2
+
     flush_suit = -1
     for i in range(4):
-        if suit_count_board[i] >= 3 and suit_count_hole[i] >= 2:
+        if (
+            suit_count_board[i] >= min_flush_count_board
+            and suit_count_hole[i] >= min_flush_count_hole
+        ):
             flush_suit = i
             break
 
@@ -84,17 +102,20 @@ def _evaluate_omaha_cards(community_cards: List[int], hole_cards: List[int]) ->
             if hole_card % 4 == flush_suit:
                 suit_binary_hole |= BINARIES_BY_ID[hole_card]
 
-        if flush_count_board == 3 and flush_count_hole == 2:
+        if (
+            flush_count_board == min_flush_count_board
+            and flush_count_hole == min_flush_count_hole
+        ):
             value_flush = FLUSH[suit_binary_board | suit_binary_hole]
 
         else:
             padding = [0x0000, 0x2000, 0x6000]
 
-            suit_binary_board |= padding[5 - flush_count_board]
-            suit_binary_hole |= padding[4 - flush_count_hole]
+            suit_binary_board |= padding[COMMUNITY_CARD_COUNT - flush_count_board]
+            suit_binary_hole |= padding[HOLE_CARD_COUNT - flush_count_hole]
 
-            board_hash = hash_binary(suit_binary_board, 5)
-            hole_hash = hash_binary(suit_binary_hole, 4)
+            board_hash = hash_binary(suit_binary_board, COMMUNITY_CARD_COUNT)
+            hole_hash = hash_binary(suit_binary_hole, HOLE_CARD_COUNT)
 
             value_flush = FLUSH_OMAHA[board_hash * 1365 + hole_hash]
 
@@ -107,8 +128,8 @@ def _evaluate_omaha_cards(community_cards: List[int], hole_cards: List[int]) ->
     for hole_card in hole_cards:
         quinary_hole[hole_card // 4] += 1
 
-    board_hash = hash_quinary(quinary_board, 5)
-    hole_hash = hash_quinary(quinary_hole, 4)
+    board_hash = hash_quinary(quinary_board, COMMUNITY_CARD_COUNT)
+    hole_hash = hash_quinary(quinary_hole, HOLE_CARD_COUNT)
 
     value_noflush = NO_FLUSH_OMAHA[board_hash * 1820 + hole_hash]
 
diff --git a/python/phevaluator/hash.py b/python/phevaluator/hash.py
index 030883b..d20c199 100644
--- a/python/phevaluator/hash.py
+++ b/python/phevaluator/hash.py
@@ -2,16 +2,15 @@
 
 from __future__ import annotations
 
-from typing import List
+from .tables import CHOOSE
+from .tables import DP
 
-from .tables import CHOOSE, DP
 
-
-def hash_quinary(quinary: List[int], num_cards: int) -> int:
+def hash_quinary(quinary: list[int], num_cards: int) -> int:
     """Hash list of cards.
 
     Args:
-        quinary (List[int]): List of the count of the cards.
+        quinary (list[int]): List of the count of the cards.
         num_cards (int): The number of cards.
 
     Returns:
@@ -64,7 +63,6 @@ def hash_binary(binary: int, num_cards: int) -> int:
     length = 15
 
     for rank in range(length):
-
         if (binary >> rank) % 2:
             sum_numb += CHOOSE[length - rank - 1][num_cards]
             num_cards -= 1
diff --git a/python/phevaluator/utils.py b/python/phevaluator/utils.py
index 85de613..537c529 100644
--- a/python/phevaluator/utils.py
+++ b/python/phevaluator/utils.py
@@ -3,16 +3,15 @@
 from __future__ import annotations
 
 import random
-from typing import List
 
 
-def sample_cards(size: int) -> List[int]:
+def sample_cards(size: int) -> list[int]:
     """Sample random cards with size.
 
     Args:
         size (int): The size of the sample.
 
     Returns:
-        List[int]: The list of the sampled cards.
+        list[int]: The list of the sampled cards.
     """
     return random.sample(range(52), k=size)
diff --git a/python/setup.cfg b/python/setup.cfg
index e653dcb..c6fed38 100644
--- a/python/setup.cfg
+++ b/python/setup.cfg
@@ -4,37 +4,31 @@ version = 0.5.3.1
 description = PH Evaluator - an efficient Poker Hand Evaluator based on a Perfect Hash algorithm
 long_description = file: README.md
 long_description_content_type = text/markdown
-keywords = poker, texas-holdem, poker-evaluator
+url = https://github.com/HenryRLee/PokerHandEvaluator/
 author = Henry Lee
 author_email = lee0906@hotmail.com
-url = https://github.com/HenryRLee/PokerHandEvaluator/
-license = Apache License, Version 2.0
-license_files = LICENSE.txt
+license = Apache-2.0
+license_files = LICENSE
 classifiers =
-    # How mature is this project? Common values are
-    #   3 - Alpha
-    #   4 - Beta
-    #   5 - Production/Stable
     Development Status :: 3 - Alpha
     Intended Audience :: Developers
     License :: OSI Approved :: Apache Software License
-    Topic :: Software Development :: Libraries
     Programming Language :: Python :: 3
+    Programming Language :: Python :: 3 :: Only
     Programming Language :: Python :: 3.8
     Programming Language :: Python :: 3.9
     Programming Language :: Python :: 3.10
     Programming Language :: Python :: 3.11
-    Programming Language :: Python :: 3 :: Only
+    Topic :: Software Development :: Libraries
+keywords = poker, texas-holdem, poker-evaluator
 project_urls =
     Bug Tracker = https://github.com/HenryRLee/PokerHandEvaluator/issues
     Documentation = https://github.com/HenryRLee/PokerHandEvaluator/tree/master/Documentation
     Source = https://github.com/HenryRLee/PokerHandEvaluator/tree/master/python
 
 [options]
-python_requires= >=3.8, <4
 packages = find:
-install_requires =
-    numpy
+python_requires = >=3.8, <4
 
 [options.package_data]
 phevaluator = tables/*.dat
diff --git a/python/tests/table_tests/test_dptables.py b/python/tests/table_tests/test_dptables.py
index dd9cbaa..add9876 100644
--- a/python/tests/table_tests/test_dptables.py
+++ b/python/tests/table_tests/test_dptables.py
@@ -1,80 +1,93 @@
+from __future__ import annotations
+
 import unittest
 from itertools import combinations_with_replacement
+from typing import ClassVar
+
+from phevaluator.tables import CHOOSE
+from phevaluator.tables import DP
+from phevaluator.tables import SUITS
 
-from phevaluator.tables import CHOOSE, DP, SUITS
+MADE_HAND_CARD_COUNT = 5
 
 
 class TestSuitsTable(unittest.TestCase):
-    DP = [0] * len(SUITS)
+    DP: ClassVar[list[int]] = [0] * len(SUITS)
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         for k in [5, 6, 7, 8, 9]:
             cls.update_k(cls.DP, k)
 
     @staticmethod
-    def update_k(table, k):
-        iterable = list(range(0, k + 1))
+    def update_k(table: list[int], k: int) -> None:
+        iterable = list(range(k + 1))
         combs = combinations_with_replacement(iterable, 3)
 
         for comb in combs:
             # comb is in lexicographically sorted order
             cnts = (comb[0], comb[1] - comb[0], comb[2] - comb[1], k - comb[2])
             for suit, cnt in enumerate(cnts):
-                if cnt >= 5:
+                if cnt >= MADE_HAND_CARD_COUNT:
                     idx = (
                         0x1 * cnts[0] + 0x8 * cnts[1] + 0x40 * cnts[2] + 0x200 * cnts[3]
                     )
 
-                    # TODO: Need to check these cases:
-                    #  There exist three cases that idxes are same.
-                    #  For two different cnts in case of k=9. The
-                    #  cases are 72, 520, 576.
+                    # TODO(@ohwi): Check these cases:
+                    # https://github.com/HenryRLee/PokerHandEvaluator/issues/93
+                    #   There exist three cases that idxes are same.
+                    #   For two different cnts in case of k=9.
+                    #   The cases are 72, 520, 576.
                     if idx in [72, 520, 576] and SUITS[idx] != suit + 1:
                         continue
 
                     table[idx] = suit + 1
 
-    def test_suits_table(self):
+    def test_suits_table(self) -> None:
         self.assertListEqual(self.DP, SUITS)
 
 
 class TestChooseTable(unittest.TestCase):
-    DP = [[0] * len(CHOOSE[idx]) for idx in range(len(CHOOSE))]
-    VISIT = [[0] * len(CHOOSE[idx]) for idx in range(len(CHOOSE))]
+    DP: ClassVar[list[list[int]]] = [
+        [0] * len(CHOOSE[idx]) for idx in range(len(CHOOSE))
+    ]
+    VISIT: ClassVar[list[list[int]]] = [
+        [0] * len(CHOOSE[idx]) for idx in range(len(CHOOSE))
+    ]
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         for n, row in enumerate(CHOOSE):
             for r in range(len(row)):
                 cls.nCr(n, r)
 
     @classmethod
-    def nCr(cls, n, r):
+    def nCr(cls, n: int, r: int) -> int:  # noqa: N802
         if n < r:
             return 0
-        elif r == 0:
+        if r == 0:
             cls.DP[n][r] = 1
             return 1
-        else:
-            if cls.VISIT[n][r] == 0:
-                cls.DP[n][r] = cls.nCr(n - 1, r) + cls.nCr(n - 1, r - 1)
-                cls.VISIT[n][r] = 1
-            return cls.DP[n][r]
+        if cls.VISIT[n][r] == 0:
+            cls.DP[n][r] = cls.nCr(n - 1, r) + cls.nCr(n - 1, r - 1)
+            cls.VISIT[n][r] = 1
+        return cls.DP[n][r]
 
-    def test_choose_table(self):
+    def test_choose_table(self) -> None:
         self.assertListEqual(self.DP, CHOOSE)
 
 
 class TestDpTable(unittest.TestCase):
-    DP = [[[0] * len(DP[i][j]) for j in range(len(DP[i]))] for i in range(len(DP))]
+    DP: ClassVar[list[list[list[int]]]] = [
+        [[0] * len(DP[i][j]) for j in range(len(DP[i]))] for i in range(len(DP))
+    ]
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         cls.fill_table()
 
     @classmethod
-    def fill_table(cls):
+    def fill_table(cls) -> None:
         # Recursion formula:
         # dp[l][i][j] = dp[l-1][i][j] + dp[1][i][j-l+1]
         #
@@ -91,7 +104,7 @@ def fill_table(cls):
         # We need (2) because of the restriction.
 
         # Make base cases
-        for j in range(0, 5):
+        for j in range(5):
             cls.DP[1][1][j] = 1
         for i in range(2, 14):
             for j in range(10):
@@ -107,7 +120,7 @@ def fill_table(cls):
                     if j - l + 1 >= 0:
                         cls.DP[l][i][j] += cls.DP[1][i][j - l + 1]
 
-    def test_dp_table(self):
+    def test_dp_table(self) -> None:
         self.assertListEqual(self.DP, DP)
 
 
diff --git a/python/tests/table_tests/test_hashtable.py b/python/tests/table_tests/test_hashtable.py
index 37bc6cc..c46ec53 100644
--- a/python/tests/table_tests/test_hashtable.py
+++ b/python/tests/table_tests/test_hashtable.py
@@ -2,28 +2,27 @@
 
 import unittest
 from itertools import combinations
-from typing import List
+from typing import ClassVar
 
 from phevaluator.tables import FLUSH
 
 
 class TestFlushTable(unittest.TestCase):
-    TABLE = [0] * len(FLUSH)
-    VISIT = [0] * len(FLUSH)
-    CUR_RANK = 1
-
-    CACHE: List[int] = []
-    BINARIES: List[List[int]] = []
+    TABLE: ClassVar[list[int]] = [0] * len(FLUSH)
+    VISIT: ClassVar[list[int]] = [0] * len(FLUSH)
+    CUR_RANK: ClassVar[int] = 1
+    CACHE: ClassVar[list[int]] = []
+    BINARIES: ClassVar[list[list[int]]] = []
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         cls.mark_straight()
         cls.mark_four_of_a_kind()
         cls.mark_full_house()
         cls.mark_non_straight()
 
     @classmethod
-    def gen_binary(cls, highest, k, n):
+    def gen_binary(cls, highest: int, k: int, n: int) -> None:
         if k == 0:
             cls.BINARIES.append(cls.CACHE[:])
         else:
@@ -33,7 +32,7 @@ def gen_binary(cls, highest, k, n):
                 cls.CACHE.remove(i)
 
     @classmethod
-    def mark_straight(cls):
+    def mark_straight(cls) -> None:
         for highest in range(12, 3, -1):  # From Ace to 6
             # k=5 case for base
             base = [highest - i for i in range(5)]
@@ -58,7 +57,7 @@ def mark_straight(cls):
         cls.CUR_RANK += 1
 
     @classmethod
-    def mark_non_straight(cls):
+    def mark_non_straight(cls) -> None:
         cls.gen_binary(12, 5, 5)
         for base in cls.BINARIES:
             base_idx = 0
@@ -76,7 +75,7 @@ def mark_non_straight(cls):
             cls.CUR_RANK += 1
 
     @classmethod
-    def mark_six_to_nine(cls, base, base_idx):
+    def mark_six_to_nine(cls, base: list[int], base_idx: int) -> None:
         # k=6-9 cases
         pos_candidates = [i for i in range(13) if i not in base]
         for r in [1, 2, 3, 4]:  # Need to select additional cards
@@ -92,20 +91,20 @@ def mark_six_to_nine(cls, base, base_idx):
                 cls.VISIT[idx] = 1
 
     @classmethod
-    def mark_four_of_a_kind(cls):
+    def mark_four_of_a_kind(cls) -> None:
         # Four of a kind
         # The rank of the four cards: 13C1
         # The rank of the other card: 12C1
         cls.CUR_RANK += 13 * 12
 
     @classmethod
-    def mark_full_house(cls):
+    def mark_full_house(cls) -> None:
         # Full house
         # The rank of the cards of three of a kind: 13C1
         # The rank of the cards of a pair: 12C1
         cls.CUR_RANK += 13 * 12
 
-    def test_flush_table(self):
+    def test_flush_table(self) -> None:
         self.assertListEqual(self.TABLE, FLUSH)
 
 
diff --git a/python/tests/table_tests/test_hashtable5.py b/python/tests/table_tests/test_hashtable5.py
index f59bff1..0690a38 100644
--- a/python/tests/table_tests/test_hashtable5.py
+++ b/python/tests/table_tests/test_hashtable5.py
@@ -1,18 +1,23 @@
+from __future__ import annotations
+
 import unittest
-from itertools import combinations, permutations
+from itertools import combinations
+from itertools import permutations
+from typing import ClassVar
+from typing import Iterable
 
 from phevaluator.hash import hash_quinary
 from phevaluator.tables import NO_FLUSH_5
 
 
 class TestNoFlush5Table(unittest.TestCase):
-    TABLE = [0] * len(NO_FLUSH_5)
-    VISIT = [0] * len(NO_FLUSH_5)
-    CUR_RANK = 1
-    NUM_CARDS = 5
+    TABLE: ClassVar[list[int]] = [0] * len(NO_FLUSH_5)
+    VISIT: ClassVar[list[int]] = [0] * len(NO_FLUSH_5)
+    CUR_RANK: ClassVar[int] = 1
+    NUM_CARDS: ClassVar[int] = 5
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         cls.mark_straight_flush()
         cls.mark_four_of_a_kind()
         cls.mark_full_house()
@@ -24,15 +29,15 @@ def setUpClass(cls):
         cls.mark_high_card()
 
     @staticmethod
-    def quinaries(n):
+    def quinaries(n: int) -> Iterable[tuple[int, ...]]:
         return permutations(range(13)[::-1], n)
 
     @staticmethod
-    def quinaries_without_duplication():
+    def quinaries_without_duplication() -> Iterable[tuple[int, ...]]:
         return combinations(range(13)[::-1], 5)
 
     @classmethod
-    def mark_four_of_a_kind(cls):
+    def mark_four_of_a_kind(cls) -> None:
         # Order 13C2 lexicographically
         for base in cls.quinaries(2):
             hand = [0] * 13
@@ -44,7 +49,7 @@ def mark_four_of_a_kind(cls):
             cls.CUR_RANK += 1
 
     @classmethod
-    def mark_full_house(cls):
+    def mark_full_house(cls) -> None:
         for base in cls.quinaries(2):
             hand = [0] * 13
             hand[base[0]] = 3
@@ -55,7 +60,7 @@ def mark_full_house(cls):
             cls.CUR_RANK += 1
 
     @classmethod
-    def mark_straight(cls):
+    def mark_straight(cls) -> None:
         for lowest in range(9)[::-1]:  # From 10 to 2
             hand = [0] * 13
             for i in range(lowest, lowest + 5):
@@ -77,7 +82,7 @@ def mark_straight(cls):
         cls.CUR_RANK += 1
 
     @classmethod
-    def mark_three_of_a_kind(cls):
+    def mark_three_of_a_kind(cls) -> None:
         for base in cls.quinaries(3):
             hand = [0] * 13
             hand[base[0]] = 3
@@ -90,7 +95,7 @@ def mark_three_of_a_kind(cls):
                 cls.CUR_RANK += 1
 
     @classmethod
-    def mark_two_pair(cls):
+    def mark_two_pair(cls) -> None:
         for base in cls.quinaries(3):
             hand = [0] * 13
             hand[base[0]] = 2
@@ -103,7 +108,7 @@ def mark_two_pair(cls):
                 cls.CUR_RANK += 1
 
     @classmethod
-    def mark_one_pair(cls):
+    def mark_one_pair(cls) -> None:
         for base in cls.quinaries(4):
             hand = [0] * 13
             hand[base[0]] = 2
@@ -117,7 +122,7 @@ def mark_one_pair(cls):
                 cls.CUR_RANK += 1
 
     @classmethod
-    def mark_high_card(cls):
+    def mark_high_card(cls) -> None:
         for base in cls.quinaries_without_duplication():
             hand = [0] * 13
             hand[base[0]] = 1
@@ -132,17 +137,17 @@ def mark_high_card(cls):
                 cls.CUR_RANK += 1
 
     @classmethod
-    def mark_straight_flush(cls):
+    def mark_straight_flush(cls) -> None:
         # A-5 High Straight Flush: 10
         cls.CUR_RANK += 10
 
     @classmethod
-    def mark_flush(cls):
+    def mark_flush(cls) -> None:
         # Selecting 5 cards in 13: 13C5
         # Need to exclude straight: -10
         cls.CUR_RANK += int(13 * 12 * 11 * 10 * 9 / (5 * 4 * 3 * 2)) - 10
 
-    def test_noflush5_table(self):
+    def test_noflush5_table(self) -> None:
         self.assertListEqual(self.TABLE, NO_FLUSH_5)
 
 
diff --git a/python/tests/table_tests/test_hashtable6.py b/python/tests/table_tests/test_hashtable6.py
index 11cd237..48cc33b 100644
--- a/python/tests/table_tests/test_hashtable6.py
+++ b/python/tests/table_tests/test_hashtable6.py
@@ -14,10 +14,10 @@ class TestNoFlush6Table(BaseTestNoFlushTable):
     NUM_CARDS = 6
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         super().setUpClass()
 
-    def test_noflush6_table(self):
+    def test_noflush6_table(self) -> None:
         self.assertListEqual(self.TABLE, self.TOCOMPARE)
 
 
diff --git a/python/tests/table_tests/test_hashtable7.py b/python/tests/table_tests/test_hashtable7.py
index e1d6585..87fc020 100644
--- a/python/tests/table_tests/test_hashtable7.py
+++ b/python/tests/table_tests/test_hashtable7.py
@@ -14,10 +14,10 @@ class TestNoFlush7Table(BaseTestNoFlushTable):
     NUM_CARDS = 7
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         super().setUpClass()
 
-    def test_noflush7_table(self):
+    def test_noflush7_table(self) -> None:
         self.assertListEqual(self.TABLE, self.TOCOMPARE)
 
 
diff --git a/python/tests/table_tests/utils.py b/python/tests/table_tests/utils.py
index 6a9a69c..712bd2a 100644
--- a/python/tests/table_tests/utils.py
+++ b/python/tests/table_tests/utils.py
@@ -1,20 +1,30 @@
 from __future__ import annotations
 
 import unittest
-from itertools import combinations, combinations_with_replacement, permutations
-from typing import List
+from itertools import combinations
+from itertools import combinations_with_replacement
+from itertools import permutations
+from typing import Iterable
 
 from phevaluator.hash import hash_quinary
 from phevaluator.tables import NO_FLUSH_5
 
+SUITS_COUNT = 4
+
 
 class BaseTestNoFlushTable(unittest.TestCase):
-    TABLE: List[int] = NotImplemented
-    VISIT: List[int] = NotImplemented
+    TABLE: list[int] = NotImplemented
+    VISIT: list[int] = NotImplemented
     NUM_CARDS: int = NotImplemented
+    CACHE: list[int]
+    USED: list[int]
+    QUINARIES: list[tuple[list[int], list[list[int]]]]
+    CACHE_ADDITIONAL: list[int]
+    USED_ADDITIONAL: list[int]
+    QUINARIES_ADDITIONAL: list[list[int]]
 
     @classmethod
-    def setUpClass(cls):
+    def setUpClass(cls) -> None:
         cls.CACHE = []
         cls.USED = [0] * 13
         cls.QUINARIES = []
@@ -34,19 +44,19 @@ def setUpClass(cls):
         cls.mark_high_card()
 
     @staticmethod
-    def quinary_permutations(n):
+    def quinary_permutations(n: int) -> Iterable[tuple[int, ...]]:
         return permutations(range(13)[::-1], n)
 
     @staticmethod
-    def quinary_combinations(n):
+    def quinary_combinations(n: int) -> Iterable[tuple[int, ...]]:
         return combinations(range(13)[::-1], n)
 
     @staticmethod
-    def quinary_combinations_with_replacement(n):
+    def quinary_combinations_with_replacement(n: int) -> Iterable[tuple[int, ...]]:
         return combinations_with_replacement(range(13)[::-1], n)
 
     @classmethod
-    def gen_quinary(cls, ks, cur, additional):
+    def gen_quinary(cls, ks: tuple[int, ...], cur: int, additional: int) -> None:
         if cur == len(ks):
             cls.get_additional(additional)
             cls.QUINARIES.append((cls.CACHE[:], cls.QUINARIES_ADDITIONAL[:]))
@@ -62,12 +72,12 @@ def gen_quinary(cls, ks, cur, additional):
                 cls.USED[i] = 0
 
     @classmethod
-    def get_additional(cls, n):
+    def get_additional(cls, n: int) -> None:
         if n == 0:
             cls.QUINARIES_ADDITIONAL.append(cls.CACHE_ADDITIONAL[:])
         else:
             for i in range(12, -1, -1):
-                if cls.USED[i] + cls.USED_ADDITIONAL[i] >= 4:
+                if cls.USED[i] + cls.USED_ADDITIONAL[i] >= SUITS_COUNT:
                     continue
                 cls.CACHE_ADDITIONAL.append(i)
                 cls.USED_ADDITIONAL[i] += 1
@@ -76,7 +86,7 @@ def get_additional(cls, n):
                 cls.USED_ADDITIONAL[i] -= 1
 
     @classmethod
-    def mark_template(cls, ks):
+    def mark_template(cls, ks: tuple[int, ...]) -> None:
         cls.gen_quinary(ks, 0, cls.NUM_CARDS - 5)
         for base, additionals in cls.QUINARIES:
             hand = [0] * 13
@@ -85,7 +95,6 @@ def mark_template(cls, ks):
             base_rank = NO_FLUSH_5[hash_quinary(hand, 5)]
             for additional in additionals:
                 for i in additional:
-
                     hand[i] += 1
 
                 hash_ = hash_quinary(hand, cls.NUM_CARDS)
@@ -101,23 +110,23 @@ def mark_template(cls, ks):
         cls.QUINARIES = []
 
     @classmethod
-    def mark_four_of_a_kind(cls):
+    def mark_four_of_a_kind(cls) -> None:
         cls.mark_template((4, 1))
 
     @classmethod
-    def mark_full_house(cls):
+    def mark_full_house(cls) -> None:
         cls.mark_template((3, 2))
 
     @classmethod
-    def mark_three_of_a_kind(cls):
+    def mark_three_of_a_kind(cls) -> None:
         cls.mark_template((3, 1, 1))
 
     @classmethod
-    def mark_two_pair(cls):
+    def mark_two_pair(cls) -> None:
         cls.mark_template((2, 2, 1))
 
     @classmethod
-    def mark_one_pair(cls):
+    def mark_one_pair(cls) -> None:
         for paired_card in range(13)[::-1]:
             for other_cards in cls.quinary_combinations(cls.NUM_CARDS - 2):
                 if paired_card in other_cards:
@@ -136,7 +145,7 @@ def mark_one_pair(cls):
                     cls.TABLE[hash_] = base_rank
 
     @classmethod
-    def mark_high_card(cls):
+    def mark_high_card(cls) -> None:
         for base in cls.quinary_combinations(cls.NUM_CARDS):
             hand = [0] * 13
             for i in range(5):
@@ -151,7 +160,7 @@ def mark_high_card(cls):
                 cls.TABLE[hash_] = base_rank
 
     @classmethod
-    def mark_straight(cls):
+    def mark_straight(cls) -> None:
         hands = []
         for lowest in range(9)[::-1]:  # From 10 to 2
             hand = [0] * 13
diff --git a/python/tests/test_card.py b/python/tests/test_card.py
index c166999..c979e82 100644
--- a/python/tests/test_card.py
+++ b/python/tests/test_card.py
@@ -1,20 +1,23 @@
+from __future__ import annotations
+
 import unittest
+from typing import ClassVar
 
 from phevaluator import Card
 
 
 class TestCard(unittest.TestCase):
-    # lowercase name, capitalcase name, value
-    testcases = [
-        ["2c", "2C", 0],
-        ["2d", "2D", 1],
-        ["2h", "2H", 2],
-        ["2s", "2S", 3],
-        ["Tc", "TC", 32],
-        ["Ac", "AC", 48],
+    # lowercase name, capital name, value
+    testcases: ClassVar[list[tuple[str, str, int]]] = [
+        ("2c", "2C", 0),
+        ("2d", "2D", 1),
+        ("2h", "2H", 2),
+        ("2s", "2S", 3),
+        ("Tc", "TC", 32),
+        ("Ac", "AC", 48),
     ]
 
-    def test_card_equality(self):
+    def test_card_equality(self) -> None:
         for name, capital_name, number in self.testcases:
             # equality between cards
             # e.g. Card("2c") == Card(0)
@@ -27,7 +30,7 @@ def test_card_equality(self):
             # equality between Card and int
             self.assertEqual(Card(number), number)  # e.g. Card(0) == 0
 
-    def test_card_immutability(self):
+    def test_card_immutability(self) -> None:
         # Once a Card is assigned or constructed from another Card,
         # it's not affected by any changes to source variable
         c_source = Card(1)
@@ -40,9 +43,9 @@ def test_card_immutability(self):
         self.assertEqual(c_assign, Card(1))
         self.assertEqual(c_construct, Card(1))
 
-    def test_card_describe(self):
+    def test_card_describe(self) -> None:
         for name, capital_name, number in self.testcases:
-            rank, suit = name
+            rank, suit, *_ = tuple(name)
             c_name = Card(name)
             c_capital_name = Card(capital_name)
             c_number = Card(number)
diff --git a/python/tests/test_evalator_omaha.py b/python/tests/test_evalator_omaha.py
index 1c936fa..9ab9e77 100644
--- a/python/tests/test_evalator_omaha.py
+++ b/python/tests/test_evalator_omaha.py
@@ -2,30 +2,31 @@
 
 import unittest
 from itertools import combinations
-from typing import List
 
-from phevaluator import (
-    Card,
-    _evaluate_cards,
-    _evaluate_omaha_cards,
-    evaluate_omaha_cards,
-    sample_cards,
-)
+from phevaluator import Card
+from phevaluator import _evaluate_cards
+from phevaluator import _evaluate_omaha_cards
+from phevaluator import evaluate_omaha_cards
+from phevaluator import sample_cards
 
 
-def evaluate_omaha_exhaustive(community_cards: List[int], hole_cards: List[int]) -> int:
+def evaluate_omaha_exhaustive(community_cards: list[int], hole_cards: list[int]) -> int:
     """Evaluate omaha cards with `_evaluate_cards`."""
-    best_rank = min(
+    return min(
         _evaluate_cards(c1, c2, c3, h1, h2)
         for c1, c2, c3 in combinations(community_cards, 3)
         for h1, h2 in combinations(hole_cards, 2)
     )
-    return best_rank
 
 
 class TestEvaluatorOmaha(unittest.TestCase):
-    def test_omaha(self):
-        """Compare the evaluation between `_evaluate_omaha_cards` and `_evaluate_cards`"""
+    def test_omaha(self) -> None:
+        """Test two functions yield the same results.
+
+        Compare:
+            `_evaluate_omaha_cards`
+            `_evaluate_cards`
+        """
         total = 10000
         for _ in range(total):
             cards = sample_cards(9)
@@ -37,28 +38,28 @@ def test_omaha(self):
                     evaluate_omaha_exhaustive(community_cards, hole_cards),
                 )
 
-    def test_evaluator_interface(self):
+    def test_evaluator_interface(self) -> None:
         # int, str and Card can be passed to evaluate_omaha_cards()
         # fmt: off
         rank1 = evaluate_omaha_cards(
             48, 49, 47, 43, 35, # community cards
-            51, 50, 39, 34      # hole cards
+            51, 50, 39, 34,     # hole cards
         )
         rank2 = evaluate_omaha_cards(
             "Ac", "Ad", "Ks", "Qs", "Ts", # community cards
-            "As", "Ah", "Js", "Th"        # hole cards
+            "As", "Ah", "Js", "Th",       # hole cards
         )
         rank3 = evaluate_omaha_cards(
             "AC", "AD", "KS", "QS", "TS", # community cards
-            "AS", "AH", "JS", "TH"        # hole cards
+            "AS", "AH", "JS", "TH",       # hole cards
         )
         rank4 = evaluate_omaha_cards(
-            Card("Ac"), Card("Ad"), Card("Ks"), Card("Qs"), Card("Ts"), # community cards
-            Card("As"), Card("Ah"), Card("Js"), Card("Th")              # hole cards
+            Card("Ac"), Card("Ad"), Card("Ks"), Card("Qs"), Card("Ts"), # community cards  # noqa: E501
+            Card("As"), Card("Ah"), Card("Js"), Card("Th"),             # hole cards
         )
         rank5 = evaluate_omaha_cards(
             48, "Ad", "KS", Card(43), Card("Ts"), # community cards
-            Card("AS"), 50, "Js", "TH"            # hole cards
+            Card("AS"), 50, "Js", "TH",           # hole cards
         )
         # fmt: on
         self.assertEqual(rank1, rank2)
diff --git a/python/tests/test_evaluator.py b/python/tests/test_evaluator.py
index f4c9191..d99e156 100644
--- a/python/tests/test_evaluator.py
+++ b/python/tests/test_evaluator.py
@@ -1,16 +1,21 @@
 import json
-import os
 import unittest
+from pathlib import Path
 
-from phevaluator import Card, evaluate_cards, evaluate_omaha_cards
+from phevaluator import Card
+from phevaluator import evaluate_cards
+from phevaluator import evaluate_omaha_cards
 
-CARDS_FILE_5 = os.path.join(os.path.dirname(__file__), "cardfiles/5cards.json")
-CARDS_FILE_6 = os.path.join(os.path.dirname(__file__), "cardfiles/6cards.json")
-CARDS_FILE_7 = os.path.join(os.path.dirname(__file__), "cardfiles/7cards.json")
+BASE_DIR = Path(__file__).parent
+CARD_FILES_DIR = BASE_DIR / "cardfiles"
+
+CARDS_FILE_5 = CARD_FILES_DIR / "5cards.json"
+CARDS_FILE_6 = CARD_FILES_DIR / "6cards.json"
+CARDS_FILE_7 = CARD_FILES_DIR / "7cards.json"
 
 
 class TestEvaluator(unittest.TestCase):
-    def test_example(self):
+    def test_example(self) -> None:
         rank1 = evaluate_cards("9c", "4c", "4s", "9d", "4h", "Qc", "6c")
         rank2 = evaluate_cards("9c", "4c", "4s", "9d", "4h", "2c", "9h")
 
@@ -18,7 +23,7 @@ def test_example(self):
         self.assertEqual(rank2, 236)
         self.assertLess(rank2, rank1)
 
-    def test_omaha_example(self):
+    def test_omaha_example(self) -> None:
         # fmt: off
         rank1 = evaluate_omaha_cards(
             "4c", "5c", "6c", "7s", "8s", # community cards
@@ -34,25 +39,25 @@ def test_omaha_example(self):
         self.assertEqual(rank1, 1578)
         self.assertEqual(rank2, 1604)
 
-    def test_5cards(self):
-        with open(CARDS_FILE_5, "r", encoding="UTF-8") as read_file:
+    def test_5cards(self) -> None:
+        with CARDS_FILE_5.open(encoding="UTF-8") as read_file:
             hand_dict = json.load(read_file)
             for key, value in hand_dict.items():
                 self.assertEqual(evaluate_cards(*key.split()), value)
 
-    def test_6cards(self):
-        with open(CARDS_FILE_6, "r", encoding="UTF-8") as read_file:
+    def test_6cards(self) -> None:
+        with CARDS_FILE_6.open(encoding="UTF-8") as read_file:
             hand_dict = json.load(read_file)
             for key, value in hand_dict.items():
                 self.assertEqual(evaluate_cards(*key.split()), value)
 
-    def test_7cards(self):
-        with open(CARDS_FILE_7, "r", encoding="UTF-8") as read_file:
+    def test_7cards(self) -> None:
+        with CARDS_FILE_7.open(encoding="UTF-8") as read_file:
             hand_dict = json.load(read_file)
             for key, value in hand_dict.items():
                 self.assertEqual(evaluate_cards(*key.split()), value)
 
-    def test_evaluator_interface(self):
+    def test_evaluator_interface(self) -> None:
         # int, str and Card can be passed to evaluate_cards()
         rank1 = evaluate_cards(1, 2, 3, 32, 48)
         rank2 = evaluate_cards("2d", "2h", "2s", "Tc", "Ac")

From 1bc79a2fd9bad8ec9443ac9d235b45cd280a17f7 Mon Sep 17 00:00:00 2001
From: azriel1rf <azriel.1rf@gmail.com>
Date: Fri, 3 May 2024 14:33:24 +0900
Subject: [PATCH 4/4] Format C and C++ files with pre-commit hooks including
 clang-format (#97)

---
 cpp/benchmark/benchmark.cc                    |     1 +
 cpp/examples/c_example.c                      |    79 +-
 cpp/examples/cpp_example.cc                   |    41 +-
 cpp/examples/evaluator5_standalone_example.cc |    22 +-
 cpp/examples/evaluator6_standalone_example.cc |    22 +-
 cpp/examples/evaluator7_standalone_example.cc |    26 +-
 cpp/examples/omaha_example.cc                 |    34 +-
 cpp/examples/plo4_example.cc                  |    31 +-
 cpp/examples/plo5_example.cc                  |    31 +-
 cpp/examples/plo6_example.cc                  |    31 +-
 cpp/include/phevaluator/card.h                |    36 +-
 cpp/include/phevaluator/phevaluator.h         |    47 +-
 cpp/include/phevaluator/rank.h                |    47 +-
 cpp/phevaluatorConfig.cmake.in                |     2 +-
 cpp/src/7462.c                                | 14926 ++--
 cpp/src/card_sampler.cc                       |     5 +-
 cpp/src/dptables.c                            |  1770 +-
 cpp/src/evaluator5.c                          |    27 +-
 cpp/src/evaluator5.cc                         |     4 +-
 cpp/src/evaluator6.c                          |    31 +-
 cpp/src/evaluator6.cc                         |     4 +-
 cpp/src/evaluator7.c                          |    35 +-
 cpp/src/evaluator7.cc                         |     4 +-
 cpp/src/evaluator8.c                          |    47 +-
 cpp/src/evaluator9.c                          |    43 +-
 cpp/src/evaluator_plo4.c                      |    44 +-
 cpp/src/evaluator_plo4.cc                     |    10 +-
 cpp/src/evaluator_plo5.c                      |    41 +-
 cpp/src/evaluator_plo5.cc                     |    10 +-
 cpp/src/evaluator_plo6.c                      |    29 +-
 cpp/src/evaluator_plo6.cc                     |    10 +-
 cpp/src/hash.c                                |    17 +-
 cpp/src/hash.h                                |     4 +-
 cpp/src/hashtable.c                           |  1707 +-
 cpp/src/hashtable5.c                          |  1288 +-
 cpp/src/hashtable6.c                          |  3833 +-
 cpp/src/hashtable7.c                          | 10253 ++-
 cpp/src/hashtable8.c                          | 25012 +++----
 cpp/src/hashtable9.c                          | 56307 +++++++---------
 cpp/src/rank.c                                |    39 +-
 cpp/src/tables.h                              |     2 +-
 cpp/src/tables_bitwise.c                      |    37 +-
 cpp/test/evaluation.cc                        |    70 +-
 cpp/test/evaluation5_standalone.cc            |    26 +-
 cpp/test/evaluation6_standalone.cc            |    29 +-
 cpp/test/evaluation7_standalone.cc            |    28 +-
 cpp/test/evaluation_plo4.cc                   |     5 +-
 cpp/test/evaluation_plo5.cc                   |    13 +-
 cpp/test/evaluation_plo6.cc                   |    14 +-
 cpp/test/kev/arrays.h                         |  4376 +-
 cpp/test/kev/fast_eval.c                      |  1412 +-
 cpp/test/kev/index52c7.h                      | 13643 ++--
 cpp/test/kev/kev_eval.c                       |    52 +-
 cpp/test/kev/kev_eval.h                       |     8 +-
 cpp/test/rank.cc                              |    43 +-
 55 files changed, 60972 insertions(+), 74736 deletions(-)

diff --git a/cpp/benchmark/benchmark.cc b/cpp/benchmark/benchmark.cc
index badb34c..808421e 100644
--- a/cpp/benchmark/benchmark.cc
+++ b/cpp/benchmark/benchmark.cc
@@ -1,4 +1,5 @@
 #include "benchmark/benchmark.h"
+
 #include "phevaluator/card_sampler.h"
 #include "phevaluator/phevaluator.h"
 
diff --git a/cpp/examples/c_example.c b/cpp/examples/c_example.c
index dd0b3fe..2fde7bb 100644
--- a/cpp/examples/c_example.c
+++ b/cpp/examples/c_example.c
@@ -1,28 +1,27 @@
-#include <stdio.h>
-#include <stdlib.h>
 #include <assert.h>
-#include <string.h>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
 
 /*
  * This C code is a demonstration of how to calculate the card id, which will
  * be used as the parameter in the evaluator. It also shows how to use the
  * return value to determine which hand is the stronger one.
  */
-int main()
-{
-	/*
-	 * In this example we use a scenario in the game Texas Holdem:
-	 * Community cards: 9c 4c 4s 9d 4h (both players share these cards)
-	 * Player 1: Qc 6c
-	 * Player 2: 2c 9h
-	 *
-	 * Both players have full houses, but player 1 has only a four full house
-	 * while player 2 has a nine full house.
+int main() {
+  /*
+   * In this example we use a scenario in the game Texas Holdem:
+   * Community cards: 9c 4c 4s 9d 4h (both players share these cards)
+   * Player 1: Qc 6c
+   * Player 2: 2c 9h
    *
-	 * The result is player 2 has a stronger hand than player 1.
-	 */
+   * Both players have full houses, but player 1 has only a four full house
+   * while player 2 has a nine full house.
+   *
+   * The result is player 2 has a stronger hand than player 1.
+   */
 
   /*
    * To calculate the value of each card, we can either use the Card Id
@@ -36,36 +35,36 @@ int main()
    * And the suits are:
    * club = 0, diamond = 1, heart = 2, spade = 3
    */
-	// Community cards
-	int a = 7 * 4 + 0; // 9c
-	int b = 2 * 4 + 0; // 4c
-	int c = 2 * 4 + 3; // 4s
-	int d = 7 * 4 + 1; // 9d
-	int e = 2 * 4 + 2; // 4h
+  // Community cards
+  int a = 7 * 4 + 0;  // 9c
+  int b = 2 * 4 + 0;  // 4c
+  int c = 2 * 4 + 3;  // 4s
+  int d = 7 * 4 + 1;  // 9d
+  int e = 2 * 4 + 2;  // 4h
 
-	// Player 1
-	int f = 10 * 4 + 0; // Qc
-	int g = 4 * 4 + 0; // 6c
+  // Player 1
+  int f = 10 * 4 + 0;  // Qc
+  int g = 4 * 4 + 0;   // 6c
 
-	// Player 2
-	int h = 0 * 4 + 0; // 2c
-	int i = 7 * 4 + 2; // 9h
+  // Player 2
+  int h = 0 * 4 + 0;  // 2c
+  int i = 7 * 4 + 2;  // 9h
 
-	// Evaluating the hand of player 1
-	int rank1 = evaluate_7cards(a, b, c, d, e, f, g);
-	// Evaluating the hand of player 2
-	int rank2 = evaluate_7cards(a, b, c, d, e, h, i);
+  // Evaluating the hand of player 1
+  int rank1 = evaluate_7cards(a, b, c, d, e, f, g);
+  // Evaluating the hand of player 2
+  int rank2 = evaluate_7cards(a, b, c, d, e, h, i);
 
   assert(rank1 == 292);
   assert(rank2 == 236);
 
-	printf("The rank of the hand in player 1 is %d\n", rank1); // expected 292
-	printf("The rank of the hand in player 2 is %d\n", rank2); // expected 236
-	printf("Player 2 has a stronger hand\n");
+  printf("The rank of the hand in player 1 is %d\n", rank1);  // expected 292
+  printf("The rank of the hand in player 2 is %d\n", rank2);  // expected 236
+  printf("Player 2 has a stronger hand\n");
 
-	// Since the return value of the hand in player 2 is less than player 1,
-	// it's considered to be a higher rank and stronger hand.
-	// So player 2 beats player 1.
+  // Since the return value of the hand in player 2 is less than player 1,
+  // it's considered to be a higher rank and stronger hand.
+  // So player 2 beats player 1.
 
   enum rank_category category = get_rank_category(rank2);
   assert(category == FULL_HOUSE);
@@ -78,10 +77,10 @@ int main()
   assert(strcmp(rank_description, "Nines Full over Fours") == 0);
 
   const char* rank_sample_hand = describe_sample_hand(rank2);
-  printf("The best hand from player 2 is %s %s\n",
-      rank_sample_hand, is_flush(rank2) ? "flush": "");
+  printf("The best hand from player 2 is %s %s\n", rank_sample_hand,
+         is_flush(rank2) ? "flush" : "");
   assert(strcmp(rank_sample_hand, "99944") == 0);
   assert(!is_flush(rank2));
 
-	return 0;
+  return 0;
 }
diff --git a/cpp/examples/cpp_example.cc b/cpp/examples/cpp_example.cc
index 3316650..6be1731 100644
--- a/cpp/examples/cpp_example.cc
+++ b/cpp/examples/cpp_example.cc
@@ -1,24 +1,28 @@
 #include <phevaluator/phevaluator.h>
-#include <iostream>
+
 #include <cassert>
+#include <iostream>
 
-int main()
-{
-	/*
-	 * This demonstrated scenario is the same as the one shown in example 1.
-	 * Community cards: 9c 4c 4s 9d 4h (both players share these cards)
-	 * Player 1: Qc 6c
-	 * Player 2: 2c 9h
-	 */
-	phevaluator::Rank rank1 = phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "Qc", "6c");
-	phevaluator::Rank rank2 = phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "2c", "9h");
+int main() {
+  /*
+   * This demonstrated scenario is the same as the one shown in example 1.
+   * Community cards: 9c 4c 4s 9d 4h (both players share these cards)
+   * Player 1: Qc 6c
+   * Player 2: 2c 9h
+   */
+  phevaluator::Rank rank1 =
+      phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "Qc", "6c");
+  phevaluator::Rank rank2 =
+      phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "2c", "9h");
 
-	// expected 292
+  // expected 292
   assert(rank1.value() == 292);
-	std::cout << "The rank of the hand in player 1 is " << rank1.value() << std::endl;
-	// expected 236
+  std::cout << "The rank of the hand in player 1 is " << rank1.value()
+            << std::endl;
+  // expected 236
   assert(rank2.value() == 236);
-	std::cout << "The rank of the hand in player 2 is " << rank2.value() << std::endl;
+  std::cout << "The rank of the hand in player 2 is " << rank2.value()
+            << std::endl;
 
   assert(rank1 < rank2);
   std::cout << "Player 2 has a stronger hand" << std::endl;
@@ -28,10 +32,11 @@ int main()
   std::cout << "Player 2 has a " << rank2.describeCategory() << std::endl;
 
   assert(rank2.describeRank() == "Nines Full over Fours");
-  std::cout << "More specifically, player 2 has a " << rank2.describeRank() << std::endl;
+  std::cout << "More specifically, player 2 has a " << rank2.describeRank()
+            << std::endl;
 
   assert(rank2.describeSampleHand() == "99944");
   assert(!rank2.isFlush());
-  std::cout << "The best hand from player 2 is " << rank2.describeSampleHand() <<
-    (rank2.isFlush() ? " in flush" : "") << std::endl;
+  std::cout << "The best hand from player 2 is " << rank2.describeSampleHand()
+            << (rank2.isFlush() ? " in flush" : "") << std::endl;
 }
diff --git a/cpp/examples/evaluator5_standalone_example.cc b/cpp/examples/evaluator5_standalone_example.cc
index 17f8d39..48f2c49 100644
--- a/cpp/examples/evaluator5_standalone_example.cc
+++ b/cpp/examples/evaluator5_standalone_example.cc
@@ -1,6 +1,7 @@
 #include <phevaluator/phevaluator.h>
-#include <iostream>
+
 #include <cassert>
+#include <iostream>
 
 /*
  * This example uses library pheval5.
@@ -11,17 +12,22 @@
  * and follow `examples/cpp_example.cc`.
  */
 
-int main()
-{
-	phevaluator::Rank rank1 = phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h");
-	phevaluator::Rank rank2 = phevaluator::EvaluateCards("8c", "7c", "6s", "5d", "4s");
+int main() {
+  phevaluator::Rank rank1 =
+      phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h");
+  phevaluator::Rank rank2 =
+      phevaluator::EvaluateCards("8c", "7c", "6s", "5d", "4s");
 
   assert(rank1.value() == 292);
-  std::cout << "The rank of the hand in player 1 is " << rank1.value() << std::endl;
+  std::cout << "The rank of the hand in player 1 is " << rank1.value()
+            << std::endl;
 
   assert(rank2.value() == 1606);
-  std::cout << "The rank of the hand in player 2 is " << rank2.value() << std::endl;
+  std::cout << "The rank of the hand in player 2 is " << rank2.value()
+            << std::endl;
 
   assert(rank1.value() < rank2.value());
-  std::cout << "Due to rank1.value() < rank2.value(), player 1 has a stronger hand" << std::endl;
+  std::cout
+      << "Due to rank1.value() < rank2.value(), player 1 has a stronger hand"
+      << std::endl;
 }
diff --git a/cpp/examples/evaluator6_standalone_example.cc b/cpp/examples/evaluator6_standalone_example.cc
index 0a85d77..e99bc90 100644
--- a/cpp/examples/evaluator6_standalone_example.cc
+++ b/cpp/examples/evaluator6_standalone_example.cc
@@ -1,6 +1,7 @@
 #include <phevaluator/phevaluator.h>
-#include <iostream>
+
 #include <cassert>
+#include <iostream>
 
 /*
  * This example uses library pheval6.
@@ -11,17 +12,22 @@
  * and follow `examples/cpp_example.cc`.
  */
 
-int main()
-{
-	phevaluator::Rank rank1 = phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "7d");
-	phevaluator::Rank rank2 = phevaluator::EvaluateCards("8c", "7c", "6s", "5d", "4s", "2s");
+int main() {
+  phevaluator::Rank rank1 =
+      phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "7d");
+  phevaluator::Rank rank2 =
+      phevaluator::EvaluateCards("8c", "7c", "6s", "5d", "4s", "2s");
 
   assert(rank1.value() == 292);
-  std::cout << "The rank of the hand in player 1 is " << rank1.value() << std::endl;
+  std::cout << "The rank of the hand in player 1 is " << rank1.value()
+            << std::endl;
 
   assert(rank2.value() == 1606);
-  std::cout << "The rank of the hand in player 2 is " << rank2.value() << std::endl;
+  std::cout << "The rank of the hand in player 2 is " << rank2.value()
+            << std::endl;
 
   assert(rank1.value() < rank2.value());
-  std::cout << "Due to rank1.value() < rank2.value(), player 1 has a stronger hand" << std::endl;
+  std::cout
+      << "Due to rank1.value() < rank2.value(), player 1 has a stronger hand"
+      << std::endl;
 }
diff --git a/cpp/examples/evaluator7_standalone_example.cc b/cpp/examples/evaluator7_standalone_example.cc
index 808417a..0db11e8 100644
--- a/cpp/examples/evaluator7_standalone_example.cc
+++ b/cpp/examples/evaluator7_standalone_example.cc
@@ -1,6 +1,7 @@
 #include <phevaluator/phevaluator.h>
-#include <iostream>
+
 #include <cassert>
+#include <iostream>
 
 /*
  * This example uses library pheval7.
@@ -11,18 +12,23 @@
  * and follow `examples/cpp_example.cc`.
  */
 
-int main()
-{
-	phevaluator::Rank rank1 = phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "Qc", "6c");
-	phevaluator::Rank rank2 = phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "2c", "9h");
+int main() {
+  phevaluator::Rank rank1 =
+      phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "Qc", "6c");
+  phevaluator::Rank rank2 =
+      phevaluator::EvaluateCards("9c", "4c", "4s", "9d", "4h", "2c", "9h");
 
-	// expected 292
+  // expected 292
   assert(rank1.value() == 292);
-	std::cout << "The rank of the hand in player 1 is " << rank1.value() << std::endl;
-	// expected 236
+  std::cout << "The rank of the hand in player 1 is " << rank1.value()
+            << std::endl;
+  // expected 236
   assert(rank2.value() == 236);
-	std::cout << "The rank of the hand in player 2 is " << rank2.value() << std::endl;
+  std::cout << "The rank of the hand in player 2 is " << rank2.value()
+            << std::endl;
 
   assert(rank2.value() < rank1.value());
-  std::cout << "Due to rank2.value() < rank1.value(), player 2 has a better hand" << std::endl;
+  std::cout
+      << "Due to rank2.value() < rank1.value(), player 2 has a better hand"
+      << std::endl;
 }
diff --git a/cpp/examples/omaha_example.cc b/cpp/examples/omaha_example.cc
index 730ecce..855d089 100644
--- a/cpp/examples/omaha_example.cc
+++ b/cpp/examples/omaha_example.cc
@@ -1,33 +1,35 @@
-#include <iostream>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+
 #include <cassert>
+#include <iostream>
 
 /*
  * This example is mostly the same as plo4_example.cc
- * In this example, we call EvaluateOmahaCards, which is exactly the same as EvaluatePlo4Cards
+ * In this example, we call EvaluateOmahaCards, which is exactly the same as
+ * EvaluatePlo4Cards
  */
-int main()
-{
+int main() {
   /*
    * Community cards: 4c 5c 6c 7s 8s
    * Player 1: 2c 9c As Kd
    * Player 2: 6s 9s Ts Js
    */
-  phevaluator::Rank rank1 =
-    phevaluator::EvaluateOmahaCards("4c", "5c", "6c", "7s", "8s", // community cards
-                                    "2c", "9c", "As", "Kd"); // player hole cards
-  phevaluator::Rank rank2 =
-    phevaluator::EvaluateOmahaCards("4c", "5c", "6c", "7s", "8s", // community cards
-                                    "6s", "9s", "Ts", "Js"); // player hole cards
+  phevaluator::Rank rank1 = phevaluator::EvaluateOmahaCards(
+      "4c", "5c", "6c", "7s", "8s",  // community cards
+      "2c", "9c", "As", "Kd");       // player hole cards
+  phevaluator::Rank rank2 = phevaluator::EvaluateOmahaCards(
+      "4c", "5c", "6c", "7s", "8s",  // community cards
+      "6s", "9s", "Ts", "Js");       // player hole cards
 
   /*
-   * It seems that Player 2 can make a straight-flush, but that's not true. Because each
-   * player can only select 3 cards from the community cards and 2 cards from his own hole
-   * cards, so Player 2 cannot get a straight-flush in this example.
+   * It seems that Player 2 can make a straight-flush, but that's not true.
+   * Because each player can only select 3 cards from the community cards and 2
+   * cards from his own hole cards, so Player 2 cannot get a straight-flush in
+   * this example.
    *
-   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and Player 2 can
-   * only make a 10-high straight.
+   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and
+   * Player 2 can only make a 10-high straight.
    */
   assert(rank1.value() == 1578);
   std::cout << "Player 1 has:" << std::endl;
@@ -43,5 +45,5 @@ int main()
   std::cout << rank2.describeRank() << std::endl;
   std::cout << rank2.describeSampleHand() << std::endl;
 
-	return 0;
+  return 0;
 }
diff --git a/cpp/examples/plo4_example.cc b/cpp/examples/plo4_example.cc
index 41b2b53..a8d81b4 100644
--- a/cpp/examples/plo4_example.cc
+++ b/cpp/examples/plo4_example.cc
@@ -1,29 +1,30 @@
-#include <iostream>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+
 #include <cassert>
+#include <iostream>
 
-int main()
-{
+int main() {
   /*
    * Community cards: 4c 5c 6c 7s 8s
    * Player 1: 2c 9c As Kd
    * Player 2: 6s 9s Ts Js
    */
-  phevaluator::Rank rank1 =
-    phevaluator::EvaluatePlo4Cards("4c", "5c", "6c", "7s", "8s", // community cards
-                                   "2c", "9c", "As", "Kd"); // player hole cards
-  phevaluator::Rank rank2 =
-    phevaluator::EvaluatePlo4Cards("4c", "5c", "6c", "7s", "8s", // community cards
-                                   "6s", "9s", "Ts", "Js"); // player hole cards
+  phevaluator::Rank rank1 = phevaluator::EvaluatePlo4Cards(
+      "4c", "5c", "6c", "7s", "8s",  // community cards
+      "2c", "9c", "As", "Kd");       // player hole cards
+  phevaluator::Rank rank2 = phevaluator::EvaluatePlo4Cards(
+      "4c", "5c", "6c", "7s", "8s",  // community cards
+      "6s", "9s", "Ts", "Js");       // player hole cards
 
   /*
-   * It seems that Player 2 can make a straight-flush, but that's not true. Because each
-   * player can only select 3 cards from the community cards and 2 cards from his own hole
-   * cards, so Player 2 cannot get a straight-flush in this example.
+   * It seems that Player 2 can make a straight-flush, but that's not true.
+   * Because each player can only select 3 cards from the community cards and 2
+   * cards from his own hole cards, so Player 2 cannot get a straight-flush in
+   * this example.
    *
-   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and Player 2 can
-   * only make a 10-high straight.
+   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and
+   * Player 2 can only make a 10-high straight.
    */
   assert(rank1.value() == 1578);
   std::cout << "Player 1 has:" << std::endl;
@@ -39,5 +40,5 @@ int main()
   std::cout << rank2.describeRank() << std::endl;
   std::cout << rank2.describeSampleHand() << std::endl;
 
-	return 0;
+  return 0;
 }
diff --git a/cpp/examples/plo5_example.cc b/cpp/examples/plo5_example.cc
index 4a67e5f..4f67920 100644
--- a/cpp/examples/plo5_example.cc
+++ b/cpp/examples/plo5_example.cc
@@ -1,29 +1,30 @@
-#include <iostream>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+
 #include <cassert>
+#include <iostream>
 
-int main()
-{
+int main() {
   /*
    * Community cards: 4c 5c 6c 7s 8s
    * Player 1: 2c 9c As Kd Jh
    * Player 2: 6s 9s Ts Js 2s
    */
-  phevaluator::Rank rank1 =
-    phevaluator::EvaluatePlo5Cards("4c", "5c", "6c", "7s", "8s", // community cards
-                                   "2c", "9c", "As", "Kd", "Jh"); // player hole cards
-  phevaluator::Rank rank2 =
-    phevaluator::EvaluatePlo5Cards("4c", "5c", "6c", "7s", "8s", // community cards
-                                   "6s", "9s", "Ts", "Js", "2s"); // player hole cards
+  phevaluator::Rank rank1 = phevaluator::EvaluatePlo5Cards(
+      "4c", "5c", "6c", "7s", "8s",   // community cards
+      "2c", "9c", "As", "Kd", "Jh");  // player hole cards
+  phevaluator::Rank rank2 = phevaluator::EvaluatePlo5Cards(
+      "4c", "5c", "6c", "7s", "8s",   // community cards
+      "6s", "9s", "Ts", "Js", "2s");  // player hole cards
 
   /*
-   * It seems that Player 2 can make a straight-flush, but that's not true. Because each
-   * player can only select 3 cards from the community cards and 2 cards from his own hole
-   * cards, so Player 2 cannot get a straight-flush in this example.
+   * It seems that Player 2 can make a straight-flush, but that's not true.
+   * Because each player can only select 3 cards from the community cards and 2
+   * cards from his own hole cards, so Player 2 cannot get a straight-flush in
+   * this example.
    *
-   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and Player 2 can
-   * only make a 10-high straight.
+   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and
+   * Player 2 can only make a 10-high straight.
    */
   assert(rank1.value() == 1578);
   std::cout << "Player 1 has:" << std::endl;
@@ -39,5 +40,5 @@ int main()
   std::cout << rank2.describeRank() << std::endl;
   std::cout << rank2.describeSampleHand() << std::endl;
 
-	return 0;
+  return 0;
 }
diff --git a/cpp/examples/plo6_example.cc b/cpp/examples/plo6_example.cc
index 916de61..6fef242 100644
--- a/cpp/examples/plo6_example.cc
+++ b/cpp/examples/plo6_example.cc
@@ -1,29 +1,30 @@
-#include <iostream>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+
 #include <cassert>
+#include <iostream>
 
-int main()
-{
+int main() {
   /*
    * Community cards: 4c 5c 6c 7s 8s
    * Player 1: 2c 9c As Kd Jh 8d
    * Player 2: 6s 9s Ts Js 2s 2d
    */
-  phevaluator::Rank rank1 =
-    phevaluator::EvaluatePlo6Cards("4c", "5c", "6c", "7s", "8s", // community cards
-                                   "2c", "9c", "As", "Kd", "Jh", "8d"); // player hole cards
-  phevaluator::Rank rank2 =
-    phevaluator::EvaluatePlo6Cards("4c", "5c", "6c", "7s", "8s", // community cards
-                                   "6s", "9s", "Ts", "Js", "2s", "2d"); // player hole cards
+  phevaluator::Rank rank1 = phevaluator::EvaluatePlo6Cards(
+      "4c", "5c", "6c", "7s", "8s",         // community cards
+      "2c", "9c", "As", "Kd", "Jh", "8d");  // player hole cards
+  phevaluator::Rank rank2 = phevaluator::EvaluatePlo6Cards(
+      "4c", "5c", "6c", "7s", "8s",         // community cards
+      "6s", "9s", "Ts", "Js", "2s", "2d");  // player hole cards
 
   /*
-   * It seems that Player 2 can make a straight-flush, but that's not true. Because each
-   * player can only select 3 cards from the community cards and 2 cards from his own hole
-   * cards, so Player 2 cannot get a straight-flush in this example.
+   * It seems that Player 2 can make a straight-flush, but that's not true.
+   * Because each player can only select 3 cards from the community cards and 2
+   * cards from his own hole cards, so Player 2 cannot get a straight-flush in
+   * this example.
    *
-   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and Player 2 can
-   * only make a 10-high straight.
+   * Therefore the result is, Player 1 can make a 9-high flush in clubs, and
+   * Player 2 can only make a 10-high straight.
    */
   assert(rank1.value() == 1578);
   std::cout << "Player 1 has:" << std::endl;
@@ -39,5 +40,5 @@ int main()
   std::cout << rank2.describeRank() << std::endl;
   std::cout << rank2.describeSampleHand() << std::endl;
 
-	return 0;
+  return 0;
 }
diff --git a/cpp/include/phevaluator/card.h b/cpp/include/phevaluator/card.h
index 76dfe29..6fbb5e3 100644
--- a/cpp/include/phevaluator/card.h
+++ b/cpp/include/phevaluator/card.h
@@ -19,30 +19,27 @@
 
 #ifdef __cplusplus
 
-#include <unordered_map>
-#include <string>
 #include <array>
 #include <functional>
+#include <string>
+#include <unordered_map>
 
 namespace phevaluator {
 const static std::unordered_map<char, int> rankMap = {
-  {'2', 0}, {'3', 1}, {'4', 2}, {'5', 3},
-  {'6', 4}, {'7', 5}, {'8', 6}, {'9', 7},
-  {'T', 8}, {'J', 9}, {'Q', 10}, {'K', 11}, {'A', 12},
+    {'2', 0}, {'3', 1}, {'4', 2}, {'5', 3},  {'6', 4},  {'7', 5},  {'8', 6},
+    {'9', 7}, {'T', 8}, {'J', 9}, {'Q', 10}, {'K', 11}, {'A', 12},
 };
 const static std::unordered_map<char, int> suitMap = {
-  {'C', 0}, {'D', 1}, {'H', 2}, {'S', 3},
-  {'c', 0}, {'d', 1}, {'h', 2}, {'s', 3},
+    {'C', 0}, {'D', 1}, {'H', 2}, {'S', 3},
+    {'c', 0}, {'d', 1}, {'h', 2}, {'s', 3},
 };
 const static std::array<char, 13> rankReverseArray = {
-  '2', '3', '4', '5',
-  '6', '7', '8', '9',
-  'T', 'J', 'Q', 'K', 'A',
+    '2', '3', '4', '5', '6', '7', '8', '9', 'T', 'J', 'Q', 'K', 'A',
 };
-const static std::array<char, 4> suitReverseArray = { 'c', 'd', 'h', 's' };
+const static std::array<char, 4> suitReverseArray = {'c', 'd', 'h', 's'};
 
 class Card {
-public:
+ public:
   Card() {}
 
   Card(int id) : id_(id) {}
@@ -62,29 +59,28 @@ class Card {
   char describeSuit(void) const { return suitReverseArray[id_ % 4]; }
 
   std::string describeCard(void) const {
-    return std::string{ describeRank(), describeSuit() };
+    return std::string{describeRank(), describeSuit()};
   }
 
   operator int() const { return id_; }
 
   operator std::string() const { return describeCard(); }
 
-private:
+ private:
   int id_;
 };
 
-} // namespace phevaluator
-
+}  // namespace phevaluator
 
 namespace std {
 template <>
 struct hash<phevaluator::Card> {
   size_t operator()(const phevaluator::Card& card) const {
-    return hash<int>()(int(card)); // usually identical to `return int(card)`
+    return hash<int>()(int(card));  // usually identical to `return int(card)`
   }
 };
-} // namespace std
+}  // namespace std
 
-#endif // __cplusplus
+#endif  // __cplusplus
 
-#endif // PHEVALUATOR_CARD_H
+#endif  // PHEVALUATOR_CARD_H
diff --git a/cpp/include/phevaluator/phevaluator.h b/cpp/include/phevaluator/phevaluator.h
index 639a3fd..1e01cae 100644
--- a/cpp/include/phevaluator/phevaluator.h
+++ b/cpp/include/phevaluator/phevaluator.h
@@ -14,7 +14,6 @@
  *  limitations under the License.
  */
 
-
 #ifndef PHEVALUATOR_H
 #define PHEVALUATOR_H
 
@@ -67,33 +66,33 @@ int evaluate_7cards(int a, int b, int c, int d, int e, int f, int g);
  * The first five parameters are the community cards on the board
  * The last four parameters are the hole cards of the player
  */
-int evaluate_plo4_cards(int c1, int c2, int c3, int c4, int c5,
-                        int h1, int h2, int h3, int h4);
+int evaluate_plo4_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                        int h3, int h4);
 
 /*
  * The first five parameters are the community cards on the board
  * The last four parameters are the hole cards of the player
  * Alias of evaluate_plo4_cards
  */
-int evaluate_omaha_cards(int c1, int c2, int c3, int c4, int c5,
-                         int h1, int h2, int h3, int h4);
+int evaluate_omaha_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                         int h3, int h4);
 
 /*
  * The first five parameters are the community cards on the board
  * The last five parameters are the hole cards of the player
  */
-int evaluate_plo5_cards(int c1, int c2, int c3, int c4, int c5,
-                        int h1, int h2, int h3, int h4, int h5);
+int evaluate_plo5_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                        int h3, int h4, int h5);
 
 /*
  * The first five parameters are the community cards on the board
  * The last six parameters are the hole cards of the player
  */
-int evaluate_plo6_cards(int c1, int c2, int c3, int c4, int c5,
-                        int h1, int h2, int h3, int h4, int h5, int h6);
+int evaluate_plo6_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                        int h3, int h4, int h5, int h6);
 
 #ifdef __cplusplus
-} // closing brace for extern "C"
+}  // closing brace for extern "C"
 #endif
 
 #ifdef __cplusplus
@@ -117,9 +116,8 @@ Rank EvaluateCards(const Card& a, const Card& b, const Card& c, const Card& d,
  * The last four parameters are the hole cards of the player
  */
 Rank EvaluatePlo4Cards(const Card& c1, const Card& c2, const Card& c3,
-                       const Card& c4, const Card& c5,
-                       const Card& h1, const Card& h2,
-                       const Card& h3, const Card& h4);
+                       const Card& c4, const Card& c5, const Card& h1,
+                       const Card& h2, const Card& h3, const Card& h4);
 
 /*
  * The first five parameters are the community cards on the board
@@ -127,30 +125,29 @@ Rank EvaluatePlo4Cards(const Card& c1, const Card& c2, const Card& c3,
  * Alias of EvaluatePlo4Cards
  */
 Rank EvaluateOmahaCards(const Card& c1, const Card& c2, const Card& c3,
-                        const Card& c4, const Card& c5,
-                        const Card& h1, const Card& h2,
-                        const Card& h3, const Card& h4);
+                        const Card& c4, const Card& c5, const Card& h1,
+                        const Card& h2, const Card& h3, const Card& h4);
 
 /*
  * The first five parameters are the community cards on the board
  * The last five parameters are the hole cards of the player
  */
 Rank EvaluatePlo5Cards(const Card& c1, const Card& c2, const Card& c3,
-                       const Card& c4, const Card& c5,
-                       const Card& h1, const Card& h2, const Card& h3,
-                       const Card& h4, const Card& h5);
+                       const Card& c4, const Card& c5, const Card& h1,
+                       const Card& h2, const Card& h3, const Card& h4,
+                       const Card& h5);
 
 /*
  * The first five parameters are the community cards on the board
  * The last six parameters are the hole cards of the player
  */
 Rank EvaluatePlo6Cards(const Card& c1, const Card& c2, const Card& c3,
-                       const Card& c4, const Card& c5,
-                       const Card& h1, const Card& h2, const Card& h3,
-                       const Card& h4, const Card& h5, const Card& h6);
+                       const Card& c4, const Card& c5, const Card& h1,
+                       const Card& h2, const Card& h3, const Card& h4,
+                       const Card& h5, const Card& h6);
 
-} // namespace phevaluator
+}  // namespace phevaluator
 
-#endif // __cplusplus
+#endif  // __cplusplus
 
-#endif // PHEVALUATOR_H
+#endif  // PHEVALUATOR_H
diff --git a/cpp/include/phevaluator/rank.h b/cpp/include/phevaluator/rank.h
index 683a859..0ea495b 100644
--- a/cpp/include/phevaluator/rank.h
+++ b/cpp/include/phevaluator/rank.h
@@ -67,14 +67,15 @@ const char* describe_sample_hand(int rank);
 bool is_flush(int rank);
 
 #ifdef __cplusplus
-} // closing brace for extern "C"
+}  // closing brace for extern "C"
 #endif
 
 #ifdef __cplusplus
 
-#include <vector>
 #include <array>
 #include <string>
+#include <vector>
+
 #include "card.h"
 
 namespace phevaluator {
@@ -83,49 +84,31 @@ class Rank {
  public:
   int value() const { return value_; }
 
-  bool operator<(const Rank& other) const {
-    return value_ > other.value_;
-  }
+  bool operator<(const Rank& other) const { return value_ > other.value_; }
 
-  bool operator<=(const Rank& other) const {
-    return value_ >= other.value_;
-  }
+  bool operator<=(const Rank& other) const { return value_ >= other.value_; }
 
-  bool operator>(const Rank& other) const {
-    return value_ < other.value_;
-  }
+  bool operator>(const Rank& other) const { return value_ < other.value_; }
 
-  bool operator>=(const Rank& other) const {
-    return value_ <= other.value_;
-  }
+  bool operator>=(const Rank& other) const { return value_ <= other.value_; }
 
-  bool operator==(const Rank& other) const {
-    return value_ == other.value_;
-  }
+  bool operator==(const Rank& other) const { return value_ == other.value_; }
 
-  bool operator!=(const Rank& other) const {
-    return value_ != other.value_;
-  }
+  bool operator!=(const Rank& other) const { return value_ != other.value_; }
 
-  enum rank_category category() const {
-    return get_rank_category(value_);
-  }
+  enum rank_category category() const { return get_rank_category(value_); }
 
   std::string describeCategory() const {
     return describe_rank_category(category());
   }
 
-  std::string describeRank() const {
-    return describe_rank(value_);
-  }
+  std::string describeRank() const { return describe_rank(value_); }
 
   std::string describeSampleHand() const {
     return describe_sample_hand(value_);
   }
 
-  bool isFlush() const {
-    return is_flush(value_);
-  }
+  bool isFlush() const { return is_flush(value_); }
 
   Rank(int value) : value_(value) {}
   Rank() {}
@@ -134,8 +117,8 @@ class Rank {
   int value_ = 0;
 };
 
-} // namespace phevaluator
+}  // namespace phevaluator
 
-#endif // __cplusplus
+#endif  // __cplusplus
 
-#endif // PHEVALUATOR_STRENTH_H
+#endif  // PHEVALUATOR_STRENTH_H
diff --git a/cpp/phevaluatorConfig.cmake.in b/cpp/phevaluatorConfig.cmake.in
index 4a09b0a..c765e36 100644
--- a/cpp/phevaluatorConfig.cmake.in
+++ b/cpp/phevaluatorConfig.cmake.in
@@ -2,4 +2,4 @@
 
 include("${CMAKE_CURRENT_LIST_DIR}/phevalTargets.cmake")
 
-check_required_components(pheval)
\ No newline at end of file
+check_required_components(pheval)
diff --git a/cpp/src/7462.c b/cpp/src/7462.c
index 58d6ff4..a4eb96e 100644
--- a/cpp/src/7462.c
+++ b/cpp/src/7462.c
@@ -17,7467 +17,7467 @@
 // This table origins from http://suffe.cool/poker/7462.html
 
 const char* rank_description[7463][2] = {
-  {"", ""},
-  {"AKQJT", "Royal Flush"},
-  {"KQJT9", "King-High Straight Flush"},
-  {"QJT98", "Queen-High Straight Flush"},
-  {"JT987", "Jack-High Straight Flush"},
-  {"T9876", "Ten-High Straight Flush"},
-  {"98765", "Nine-High Straight Flush"},
-  {"87654", "Eight-High Straight Flush"},
-  {"76543", "Seven-High Straight Flush"},
-  {"65432", "Six-High Straight Flush"},
-  {"5432A", "Five-High Straight Flush"},
-  {"AAAAK", "Four Aces"},
-  {"AAAAQ", "Four Aces"},
-  {"AAAAJ", "Four Aces"},
-  {"AAAAT", "Four Aces"},
-  {"AAAA9", "Four Aces"},
-  {"AAAA8", "Four Aces"},
-  {"AAAA7", "Four Aces"},
-  {"AAAA6", "Four Aces"},
-  {"AAAA5", "Four Aces"},
-  {"AAAA4", "Four Aces"},
-  {"AAAA3", "Four Aces"},
-  {"AAAA2", "Four Aces"},
-  {"KKKKA", "Four Kings"},
-  {"KKKKQ", "Four Kings"},
-  {"KKKKJ", "Four Kings"},
-  {"KKKKT", "Four Kings"},
-  {"KKKK9", "Four Kings"},
-  {"KKKK8", "Four Kings"},
-  {"KKKK7", "Four Kings"},
-  {"KKKK6", "Four Kings"},
-  {"KKKK5", "Four Kings"},
-  {"KKKK4", "Four Kings"},
-  {"KKKK3", "Four Kings"},
-  {"KKKK2", "Four Kings"},
-  {"QQQQA", "Four Queens"},
-  {"QQQQK", "Four Queens"},
-  {"QQQQJ", "Four Queens"},
-  {"QQQQT", "Four Queens"},
-  {"QQQQ9", "Four Queens"},
-  {"QQQQ8", "Four Queens"},
-  {"QQQQ7", "Four Queens"},
-  {"QQQQ6", "Four Queens"},
-  {"QQQQ5", "Four Queens"},
-  {"QQQQ4", "Four Queens"},
-  {"QQQQ3", "Four Queens"},
-  {"QQQQ2", "Four Queens"},
-  {"JJJJA", "Four Jacks"},
-  {"JJJJK", "Four Jacks"},
-  {"JJJJQ", "Four Jacks"},
-  {"JJJJT", "Four Jacks"},
-  {"JJJJ9", "Four Jacks"},
-  {"JJJJ8", "Four Jacks"},
-  {"JJJJ7", "Four Jacks"},
-  {"JJJJ6", "Four Jacks"},
-  {"JJJJ5", "Four Jacks"},
-  {"JJJJ4", "Four Jacks"},
-  {"JJJJ3", "Four Jacks"},
-  {"JJJJ2", "Four Jacks"},
-  {"TTTTA", "Four Tens"},
-  {"TTTTK", "Four Tens"},
-  {"TTTTQ", "Four Tens"},
-  {"TTTTJ", "Four Tens"},
-  {"TTTT9", "Four Tens"},
-  {"TTTT8", "Four Tens"},
-  {"TTTT7", "Four Tens"},
-  {"TTTT6", "Four Tens"},
-  {"TTTT5", "Four Tens"},
-  {"TTTT4", "Four Tens"},
-  {"TTTT3", "Four Tens"},
-  {"TTTT2", "Four Tens"},
-  {"9999A", "Four Nines"},
-  {"9999K", "Four Nines"},
-  {"9999Q", "Four Nines"},
-  {"9999J", "Four Nines"},
-  {"9999T", "Four Nines"},
-  {"99998", "Four Nines"},
-  {"99997", "Four Nines"},
-  {"99996", "Four Nines"},
-  {"99995", "Four Nines"},
-  {"99994", "Four Nines"},
-  {"99993", "Four Nines"},
-  {"99992", "Four Nines"},
-  {"8888A", "Four Eights"},
-  {"8888K", "Four Eights"},
-  {"8888Q", "Four Eights"},
-  {"8888J", "Four Eights"},
-  {"8888T", "Four Eights"},
-  {"88889", "Four Eights"},
-  {"88887", "Four Eights"},
-  {"88886", "Four Eights"},
-  {"88885", "Four Eights"},
-  {"88884", "Four Eights"},
-  {"88883", "Four Eights"},
-  {"88882", "Four Eights"},
-  {"7777A", "Four Sevens"},
-  {"7777K", "Four Sevens"},
-  {"7777Q", "Four Sevens"},
-  {"7777J", "Four Sevens"},
-  {"7777T", "Four Sevens"},
-  {"77779", "Four Sevens"},
-  {"77778", "Four Sevens"},
-  {"77776", "Four Sevens"},
-  {"77775", "Four Sevens"},
-  {"77774", "Four Sevens"},
-  {"77773", "Four Sevens"},
-  {"77772", "Four Sevens"},
-  {"6666A", "Four Sixes"},
-  {"6666K", "Four Sixes"},
-  {"6666Q", "Four Sixes"},
-  {"6666J", "Four Sixes"},
-  {"6666T", "Four Sixes"},
-  {"66669", "Four Sixes"},
-  {"66668", "Four Sixes"},
-  {"66667", "Four Sixes"},
-  {"66665", "Four Sixes"},
-  {"66664", "Four Sixes"},
-  {"66663", "Four Sixes"},
-  {"66662", "Four Sixes"},
-  {"5555A", "Four Fives"},
-  {"5555K", "Four Fives"},
-  {"5555Q", "Four Fives"},
-  {"5555J", "Four Fives"},
-  {"5555T", "Four Fives"},
-  {"55559", "Four Fives"},
-  {"55558", "Four Fives"},
-  {"55557", "Four Fives"},
-  {"55556", "Four Fives"},
-  {"55554", "Four Fives"},
-  {"55553", "Four Fives"},
-  {"55552", "Four Fives"},
-  {"4444A", "Four Fours"},
-  {"4444K", "Four Fours"},
-  {"4444Q", "Four Fours"},
-  {"4444J", "Four Fours"},
-  {"4444T", "Four Fours"},
-  {"44449", "Four Fours"},
-  {"44448", "Four Fours"},
-  {"44447", "Four Fours"},
-  {"44446", "Four Fours"},
-  {"44445", "Four Fours"},
-  {"44443", "Four Fours"},
-  {"44442", "Four Fours"},
-  {"3333A", "Four Treys"},
-  {"3333K", "Four Treys"},
-  {"3333Q", "Four Treys"},
-  {"3333J", "Four Treys"},
-  {"3333T", "Four Treys"},
-  {"33339", "Four Treys"},
-  {"33338", "Four Treys"},
-  {"33337", "Four Treys"},
-  {"33336", "Four Treys"},
-  {"33335", "Four Treys"},
-  {"33334", "Four Treys"},
-  {"33332", "Four Treys"},
-  {"2222A", "Four Deuces"},
-  {"2222K", "Four Deuces"},
-  {"2222Q", "Four Deuces"},
-  {"2222J", "Four Deuces"},
-  {"2222T", "Four Deuces"},
-  {"22229", "Four Deuces"},
-  {"22228", "Four Deuces"},
-  {"22227", "Four Deuces"},
-  {"22226", "Four Deuces"},
-  {"22225", "Four Deuces"},
-  {"22224", "Four Deuces"},
-  {"22223", "Four Deuces"},
-  {"AAAKK", "Aces Full over Kings"},
-  {"AAAQQ", "Aces Full over Queens"},
-  {"AAAJJ", "Aces Full over Jacks"},
-  {"AAATT", "Aces Full over Tens"},
-  {"AAA99", "Aces Full over Nines"},
-  {"AAA88", "Aces Full over Eights"},
-  {"AAA77", "Aces Full over Sevens"},
-  {"AAA66", "Aces Full over Sixes"},
-  {"AAA55", "Aces Full over Fives"},
-  {"AAA44", "Aces Full over Fours"},
-  {"AAA33", "Aces Full over Treys"},
-  {"AAA22", "Aces Full over Deuces"},
-  {"KKKAA", "Kings Full over Aces"},
-  {"KKKQQ", "Kings Full over Queens"},
-  {"KKKJJ", "Kings Full over Jacks"},
-  {"KKKTT", "Kings Full over Tens"},
-  {"KKK99", "Kings Full over Nines"},
-  {"KKK88", "Kings Full over Eights"},
-  {"KKK77", "Kings Full over Sevens"},
-  {"KKK66", "Kings Full over Sixes"},
-  {"KKK55", "Kings Full over Fives"},
-  {"KKK44", "Kings Full over Fours"},
-  {"KKK33", "Kings Full over Treys"},
-  {"KKK22", "Kings Full over Deuces"},
-  {"QQQAA", "Queens Full over Aces"},
-  {"QQQKK", "Queens Full over Kings"},
-  {"QQQJJ", "Queens Full over Jacks"},
-  {"QQQTT", "Queens Full over Tens"},
-  {"QQQ99", "Queens Full over Nines"},
-  {"QQQ88", "Queens Full over Eights"},
-  {"QQQ77", "Queens Full over Sevens"},
-  {"QQQ66", "Queens Full over Sixes"},
-  {"QQQ55", "Queens Full over Fives"},
-  {"QQQ44", "Queens Full over Fours"},
-  {"QQQ33", "Queens Full over Treys"},
-  {"QQQ22", "Queens Full over Deuces"},
-  {"JJJAA", "Jacks Full over Aces"},
-  {"JJJKK", "Jacks Full over Kings"},
-  {"JJJQQ", "Jacks Full over Queens"},
-  {"JJJTT", "Jacks Full over Tens"},
-  {"JJJ99", "Jacks Full over Nines"},
-  {"JJJ88", "Jacks Full over Eights"},
-  {"JJJ77", "Jacks Full over Sevens"},
-  {"JJJ66", "Jacks Full over Sixes"},
-  {"JJJ55", "Jacks Full over Fives"},
-  {"JJJ44", "Jacks Full over Fours"},
-  {"JJJ33", "Jacks Full over Treys"},
-  {"JJJ22", "Jacks Full over Deuces"},
-  {"TTTAA", "Tens Full over Aces"},
-  {"TTTKK", "Tens Full over Kings"},
-  {"TTTQQ", "Tens Full over Queens"},
-  {"TTTJJ", "Tens Full over Jacks"},
-  {"TTT99", "Tens Full over Nines"},
-  {"TTT88", "Tens Full over Eights"},
-  {"TTT77", "Tens Full over Sevens"},
-  {"TTT66", "Tens Full over Sixes"},
-  {"TTT55", "Tens Full over Fives"},
-  {"TTT44", "Tens Full over Fours"},
-  {"TTT33", "Tens Full over Treys"},
-  {"TTT22", "Tens Full over Deuces"},
-  {"999AA", "Nines Full over Aces"},
-  {"999KK", "Nines Full over Kings"},
-  {"999QQ", "Nines Full over Queens"},
-  {"999JJ", "Nines Full over Jacks"},
-  {"999TT", "Nines Full over Tens"},
-  {"99988", "Nines Full over Eights"},
-  {"99977", "Nines Full over Sevens"},
-  {"99966", "Nines Full over Sixes"},
-  {"99955", "Nines Full over Fives"},
-  {"99944", "Nines Full over Fours"},
-  {"99933", "Nines Full over Treys"},
-  {"99922", "Nines Full over Deuces"},
-  {"888AA", "Eights Full over Aces"},
-  {"888KK", "Eights Full over Kings"},
-  {"888QQ", "Eights Full over Queens"},
-  {"888JJ", "Eights Full over Jacks"},
-  {"888TT", "Eights Full over Tens"},
-  {"88899", "Eights Full over Nines"},
-  {"88877", "Eights Full over Sevens"},
-  {"88866", "Eights Full over Sixes"},
-  {"88855", "Eights Full over Fives"},
-  {"88844", "Eights Full over Fours"},
-  {"88833", "Eights Full over Treys"},
-  {"88822", "Eights Full over Deuces"},
-  {"777AA", "Sevens Full over Aces"},
-  {"777KK", "Sevens Full over Kings"},
-  {"777QQ", "Sevens Full over Queens"},
-  {"777JJ", "Sevens Full over Jacks"},
-  {"777TT", "Sevens Full over Tens"},
-  {"77799", "Sevens Full over Nines"},
-  {"77788", "Sevens Full over Eights"},
-  {"77766", "Sevens Full over Sixes"},
-  {"77755", "Sevens Full over Fives"},
-  {"77744", "Sevens Full over Fours"},
-  {"77733", "Sevens Full over Treys"},
-  {"77722", "Sevens Full over Deuces"},
-  {"666AA", "Sixes Full over Aces"},
-  {"666KK", "Sixes Full over Kings"},
-  {"666QQ", "Sixes Full over Queens"},
-  {"666JJ", "Sixes Full over Jacks"},
-  {"666TT", "Sixes Full over Tens"},
-  {"66699", "Sixes Full over Nines"},
-  {"66688", "Sixes Full over Eights"},
-  {"66677", "Sixes Full over Sevens"},
-  {"66655", "Sixes Full over Fives"},
-  {"66644", "Sixes Full over Fours"},
-  {"66633", "Sixes Full over Treys"},
-  {"66622", "Sixes Full over Deuces"},
-  {"555AA", "Fives Full over Aces"},
-  {"555KK", "Fives Full over Kings"},
-  {"555QQ", "Fives Full over Queens"},
-  {"555JJ", "Fives Full over Jacks"},
-  {"555TT", "Fives Full over Tens"},
-  {"55599", "Fives Full over Nines"},
-  {"55588", "Fives Full over Eights"},
-  {"55577", "Fives Full over Sevens"},
-  {"55566", "Fives Full over Sixes"},
-  {"55544", "Fives Full over Fours"},
-  {"55533", "Fives Full over Treys"},
-  {"55522", "Fives Full over Deuces"},
-  {"444AA", "Fours Full over Aces"},
-  {"444KK", "Fours Full over Kings"},
-  {"444QQ", "Fours Full over Queens"},
-  {"444JJ", "Fours Full over Jacks"},
-  {"444TT", "Fours Full over Tens"},
-  {"44499", "Fours Full over Nines"},
-  {"44488", "Fours Full over Eights"},
-  {"44477", "Fours Full over Sevens"},
-  {"44466", "Fours Full over Sixes"},
-  {"44455", "Fours Full over Fives"},
-  {"44433", "Fours Full over Treys"},
-  {"44422", "Fours Full over Deuces"},
-  {"333AA", "Treys Full over Aces"},
-  {"333KK", "Treys Full over Kings"},
-  {"333QQ", "Treys Full over Queens"},
-  {"333JJ", "Treys Full over Jacks"},
-  {"333TT", "Treys Full over Tens"},
-  {"33399", "Treys Full over Nines"},
-  {"33388", "Treys Full over Eights"},
-  {"33377", "Treys Full over Sevens"},
-  {"33366", "Treys Full over Sixes"},
-  {"33355", "Treys Full over Fives"},
-  {"33344", "Treys Full over Fours"},
-  {"33322", "Treys Full over Deuces"},
-  {"222AA", "Deuces Full over Aces"},
-  {"222KK", "Deuces Full over Kings"},
-  {"222QQ", "Deuces Full over Queens"},
-  {"222JJ", "Deuces Full over Jacks"},
-  {"222TT", "Deuces Full over Tens"},
-  {"22299", "Deuces Full over Nines"},
-  {"22288", "Deuces Full over Eights"},
-  {"22277", "Deuces Full over Sevens"},
-  {"22266", "Deuces Full over Sixes"},
-  {"22255", "Deuces Full over Fives"},
-  {"22244", "Deuces Full over Fours"},
-  {"22233", "Deuces Full over Treys"},
-  {"AKQJ9", "Ace-High Flush"},
-  {"AKQJ8", "Ace-High Flush"},
-  {"AKQJ7", "Ace-High Flush"},
-  {"AKQJ6", "Ace-High Flush"},
-  {"AKQJ5", "Ace-High Flush"},
-  {"AKQJ4", "Ace-High Flush"},
-  {"AKQJ3", "Ace-High Flush"},
-  {"AKQJ2", "Ace-High Flush"},
-  {"AKQT9", "Ace-High Flush"},
-  {"AKQT8", "Ace-High Flush"},
-  {"AKQT7", "Ace-High Flush"},
-  {"AKQT6", "Ace-High Flush"},
-  {"AKQT5", "Ace-High Flush"},
-  {"AKQT4", "Ace-High Flush"},
-  {"AKQT3", "Ace-High Flush"},
-  {"AKQT2", "Ace-High Flush"},
-  {"AKQ98", "Ace-High Flush"},
-  {"AKQ97", "Ace-High Flush"},
-  {"AKQ96", "Ace-High Flush"},
-  {"AKQ95", "Ace-High Flush"},
-  {"AKQ94", "Ace-High Flush"},
-  {"AKQ93", "Ace-High Flush"},
-  {"AKQ92", "Ace-High Flush"},
-  {"AKQ87", "Ace-High Flush"},
-  {"AKQ86", "Ace-High Flush"},
-  {"AKQ85", "Ace-High Flush"},
-  {"AKQ84", "Ace-High Flush"},
-  {"AKQ83", "Ace-High Flush"},
-  {"AKQ82", "Ace-High Flush"},
-  {"AKQ76", "Ace-High Flush"},
-  {"AKQ75", "Ace-High Flush"},
-  {"AKQ74", "Ace-High Flush"},
-  {"AKQ73", "Ace-High Flush"},
-  {"AKQ72", "Ace-High Flush"},
-  {"AKQ65", "Ace-High Flush"},
-  {"AKQ64", "Ace-High Flush"},
-  {"AKQ63", "Ace-High Flush"},
-  {"AKQ62", "Ace-High Flush"},
-  {"AKQ54", "Ace-High Flush"},
-  {"AKQ53", "Ace-High Flush"},
-  {"AKQ52", "Ace-High Flush"},
-  {"AKQ43", "Ace-High Flush"},
-  {"AKQ42", "Ace-High Flush"},
-  {"AKQ32", "Ace-High Flush"},
-  {"AKJT9", "Ace-High Flush"},
-  {"AKJT8", "Ace-High Flush"},
-  {"AKJT7", "Ace-High Flush"},
-  {"AKJT6", "Ace-High Flush"},
-  {"AKJT5", "Ace-High Flush"},
-  {"AKJT4", "Ace-High Flush"},
-  {"AKJT3", "Ace-High Flush"},
-  {"AKJT2", "Ace-High Flush"},
-  {"AKJ98", "Ace-High Flush"},
-  {"AKJ97", "Ace-High Flush"},
-  {"AKJ96", "Ace-High Flush"},
-  {"AKJ95", "Ace-High Flush"},
-  {"AKJ94", "Ace-High Flush"},
-  {"AKJ93", "Ace-High Flush"},
-  {"AKJ92", "Ace-High Flush"},
-  {"AKJ87", "Ace-High Flush"},
-  {"AKJ86", "Ace-High Flush"},
-  {"AKJ85", "Ace-High Flush"},
-  {"AKJ84", "Ace-High Flush"},
-  {"AKJ83", "Ace-High Flush"},
-  {"AKJ82", "Ace-High Flush"},
-  {"AKJ76", "Ace-High Flush"},
-  {"AKJ75", "Ace-High Flush"},
-  {"AKJ74", "Ace-High Flush"},
-  {"AKJ73", "Ace-High Flush"},
-  {"AKJ72", "Ace-High Flush"},
-  {"AKJ65", "Ace-High Flush"},
-  {"AKJ64", "Ace-High Flush"},
-  {"AKJ63", "Ace-High Flush"},
-  {"AKJ62", "Ace-High Flush"},
-  {"AKJ54", "Ace-High Flush"},
-  {"AKJ53", "Ace-High Flush"},
-  {"AKJ52", "Ace-High Flush"},
-  {"AKJ43", "Ace-High Flush"},
-  {"AKJ42", "Ace-High Flush"},
-  {"AKJ32", "Ace-High Flush"},
-  {"AKT98", "Ace-High Flush"},
-  {"AKT97", "Ace-High Flush"},
-  {"AKT96", "Ace-High Flush"},
-  {"AKT95", "Ace-High Flush"},
-  {"AKT94", "Ace-High Flush"},
-  {"AKT93", "Ace-High Flush"},
-  {"AKT92", "Ace-High Flush"},
-  {"AKT87", "Ace-High Flush"},
-  {"AKT86", "Ace-High Flush"},
-  {"AKT85", "Ace-High Flush"},
-  {"AKT84", "Ace-High Flush"},
-  {"AKT83", "Ace-High Flush"},
-  {"AKT82", "Ace-High Flush"},
-  {"AKT76", "Ace-High Flush"},
-  {"AKT75", "Ace-High Flush"},
-  {"AKT74", "Ace-High Flush"},
-  {"AKT73", "Ace-High Flush"},
-  {"AKT72", "Ace-High Flush"},
-  {"AKT65", "Ace-High Flush"},
-  {"AKT64", "Ace-High Flush"},
-  {"AKT63", "Ace-High Flush"},
-  {"AKT62", "Ace-High Flush"},
-  {"AKT54", "Ace-High Flush"},
-  {"AKT53", "Ace-High Flush"},
-  {"AKT52", "Ace-High Flush"},
-  {"AKT43", "Ace-High Flush"},
-  {"AKT42", "Ace-High Flush"},
-  {"AKT32", "Ace-High Flush"},
-  {"AK987", "Ace-High Flush"},
-  {"AK986", "Ace-High Flush"},
-  {"AK985", "Ace-High Flush"},
-  {"AK984", "Ace-High Flush"},
-  {"AK983", "Ace-High Flush"},
-  {"AK982", "Ace-High Flush"},
-  {"AK976", "Ace-High Flush"},
-  {"AK975", "Ace-High Flush"},
-  {"AK974", "Ace-High Flush"},
-  {"AK973", "Ace-High Flush"},
-  {"AK972", "Ace-High Flush"},
-  {"AK965", "Ace-High Flush"},
-  {"AK964", "Ace-High Flush"},
-  {"AK963", "Ace-High Flush"},
-  {"AK962", "Ace-High Flush"},
-  {"AK954", "Ace-High Flush"},
-  {"AK953", "Ace-High Flush"},
-  {"AK952", "Ace-High Flush"},
-  {"AK943", "Ace-High Flush"},
-  {"AK942", "Ace-High Flush"},
-  {"AK932", "Ace-High Flush"},
-  {"AK876", "Ace-High Flush"},
-  {"AK875", "Ace-High Flush"},
-  {"AK874", "Ace-High Flush"},
-  {"AK873", "Ace-High Flush"},
-  {"AK872", "Ace-High Flush"},
-  {"AK865", "Ace-High Flush"},
-  {"AK864", "Ace-High Flush"},
-  {"AK863", "Ace-High Flush"},
-  {"AK862", "Ace-High Flush"},
-  {"AK854", "Ace-High Flush"},
-  {"AK853", "Ace-High Flush"},
-  {"AK852", "Ace-High Flush"},
-  {"AK843", "Ace-High Flush"},
-  {"AK842", "Ace-High Flush"},
-  {"AK832", "Ace-High Flush"},
-  {"AK765", "Ace-High Flush"},
-  {"AK764", "Ace-High Flush"},
-  {"AK763", "Ace-High Flush"},
-  {"AK762", "Ace-High Flush"},
-  {"AK754", "Ace-High Flush"},
-  {"AK753", "Ace-High Flush"},
-  {"AK752", "Ace-High Flush"},
-  {"AK743", "Ace-High Flush"},
-  {"AK742", "Ace-High Flush"},
-  {"AK732", "Ace-High Flush"},
-  {"AK654", "Ace-High Flush"},
-  {"AK653", "Ace-High Flush"},
-  {"AK652", "Ace-High Flush"},
-  {"AK643", "Ace-High Flush"},
-  {"AK642", "Ace-High Flush"},
-  {"AK632", "Ace-High Flush"},
-  {"AK543", "Ace-High Flush"},
-  {"AK542", "Ace-High Flush"},
-  {"AK532", "Ace-High Flush"},
-  {"AK432", "Ace-High Flush"},
-  {"AQJT9", "Ace-High Flush"},
-  {"AQJT8", "Ace-High Flush"},
-  {"AQJT7", "Ace-High Flush"},
-  {"AQJT6", "Ace-High Flush"},
-  {"AQJT5", "Ace-High Flush"},
-  {"AQJT4", "Ace-High Flush"},
-  {"AQJT3", "Ace-High Flush"},
-  {"AQJT2", "Ace-High Flush"},
-  {"AQJ98", "Ace-High Flush"},
-  {"AQJ97", "Ace-High Flush"},
-  {"AQJ96", "Ace-High Flush"},
-  {"AQJ95", "Ace-High Flush"},
-  {"AQJ94", "Ace-High Flush"},
-  {"AQJ93", "Ace-High Flush"},
-  {"AQJ92", "Ace-High Flush"},
-  {"AQJ87", "Ace-High Flush"},
-  {"AQJ86", "Ace-High Flush"},
-  {"AQJ85", "Ace-High Flush"},
-  {"AQJ84", "Ace-High Flush"},
-  {"AQJ83", "Ace-High Flush"},
-  {"AQJ82", "Ace-High Flush"},
-  {"AQJ76", "Ace-High Flush"},
-  {"AQJ75", "Ace-High Flush"},
-  {"AQJ74", "Ace-High Flush"},
-  {"AQJ73", "Ace-High Flush"},
-  {"AQJ72", "Ace-High Flush"},
-  {"AQJ65", "Ace-High Flush"},
-  {"AQJ64", "Ace-High Flush"},
-  {"AQJ63", "Ace-High Flush"},
-  {"AQJ62", "Ace-High Flush"},
-  {"AQJ54", "Ace-High Flush"},
-  {"AQJ53", "Ace-High Flush"},
-  {"AQJ52", "Ace-High Flush"},
-  {"AQJ43", "Ace-High Flush"},
-  {"AQJ42", "Ace-High Flush"},
-  {"AQJ32", "Ace-High Flush"},
-  {"AQT98", "Ace-High Flush"},
-  {"AQT97", "Ace-High Flush"},
-  {"AQT96", "Ace-High Flush"},
-  {"AQT95", "Ace-High Flush"},
-  {"AQT94", "Ace-High Flush"},
-  {"AQT93", "Ace-High Flush"},
-  {"AQT92", "Ace-High Flush"},
-  {"AQT87", "Ace-High Flush"},
-  {"AQT86", "Ace-High Flush"},
-  {"AQT85", "Ace-High Flush"},
-  {"AQT84", "Ace-High Flush"},
-  {"AQT83", "Ace-High Flush"},
-  {"AQT82", "Ace-High Flush"},
-  {"AQT76", "Ace-High Flush"},
-  {"AQT75", "Ace-High Flush"},
-  {"AQT74", "Ace-High Flush"},
-  {"AQT73", "Ace-High Flush"},
-  {"AQT72", "Ace-High Flush"},
-  {"AQT65", "Ace-High Flush"},
-  {"AQT64", "Ace-High Flush"},
-  {"AQT63", "Ace-High Flush"},
-  {"AQT62", "Ace-High Flush"},
-  {"AQT54", "Ace-High Flush"},
-  {"AQT53", "Ace-High Flush"},
-  {"AQT52", "Ace-High Flush"},
-  {"AQT43", "Ace-High Flush"},
-  {"AQT42", "Ace-High Flush"},
-  {"AQT32", "Ace-High Flush"},
-  {"AQ987", "Ace-High Flush"},
-  {"AQ986", "Ace-High Flush"},
-  {"AQ985", "Ace-High Flush"},
-  {"AQ984", "Ace-High Flush"},
-  {"AQ983", "Ace-High Flush"},
-  {"AQ982", "Ace-High Flush"},
-  {"AQ976", "Ace-High Flush"},
-  {"AQ975", "Ace-High Flush"},
-  {"AQ974", "Ace-High Flush"},
-  {"AQ973", "Ace-High Flush"},
-  {"AQ972", "Ace-High Flush"},
-  {"AQ965", "Ace-High Flush"},
-  {"AQ964", "Ace-High Flush"},
-  {"AQ963", "Ace-High Flush"},
-  {"AQ962", "Ace-High Flush"},
-  {"AQ954", "Ace-High Flush"},
-  {"AQ953", "Ace-High Flush"},
-  {"AQ952", "Ace-High Flush"},
-  {"AQ943", "Ace-High Flush"},
-  {"AQ942", "Ace-High Flush"},
-  {"AQ932", "Ace-High Flush"},
-  {"AQ876", "Ace-High Flush"},
-  {"AQ875", "Ace-High Flush"},
-  {"AQ874", "Ace-High Flush"},
-  {"AQ873", "Ace-High Flush"},
-  {"AQ872", "Ace-High Flush"},
-  {"AQ865", "Ace-High Flush"},
-  {"AQ864", "Ace-High Flush"},
-  {"AQ863", "Ace-High Flush"},
-  {"AQ862", "Ace-High Flush"},
-  {"AQ854", "Ace-High Flush"},
-  {"AQ853", "Ace-High Flush"},
-  {"AQ852", "Ace-High Flush"},
-  {"AQ843", "Ace-High Flush"},
-  {"AQ842", "Ace-High Flush"},
-  {"AQ832", "Ace-High Flush"},
-  {"AQ765", "Ace-High Flush"},
-  {"AQ764", "Ace-High Flush"},
-  {"AQ763", "Ace-High Flush"},
-  {"AQ762", "Ace-High Flush"},
-  {"AQ754", "Ace-High Flush"},
-  {"AQ753", "Ace-High Flush"},
-  {"AQ752", "Ace-High Flush"},
-  {"AQ743", "Ace-High Flush"},
-  {"AQ742", "Ace-High Flush"},
-  {"AQ732", "Ace-High Flush"},
-  {"AQ654", "Ace-High Flush"},
-  {"AQ653", "Ace-High Flush"},
-  {"AQ652", "Ace-High Flush"},
-  {"AQ643", "Ace-High Flush"},
-  {"AQ642", "Ace-High Flush"},
-  {"AQ632", "Ace-High Flush"},
-  {"AQ543", "Ace-High Flush"},
-  {"AQ542", "Ace-High Flush"},
-  {"AQ532", "Ace-High Flush"},
-  {"AQ432", "Ace-High Flush"},
-  {"AJT98", "Ace-High Flush"},
-  {"AJT97", "Ace-High Flush"},
-  {"AJT96", "Ace-High Flush"},
-  {"AJT95", "Ace-High Flush"},
-  {"AJT94", "Ace-High Flush"},
-  {"AJT93", "Ace-High Flush"},
-  {"AJT92", "Ace-High Flush"},
-  {"AJT87", "Ace-High Flush"},
-  {"AJT86", "Ace-High Flush"},
-  {"AJT85", "Ace-High Flush"},
-  {"AJT84", "Ace-High Flush"},
-  {"AJT83", "Ace-High Flush"},
-  {"AJT82", "Ace-High Flush"},
-  {"AJT76", "Ace-High Flush"},
-  {"AJT75", "Ace-High Flush"},
-  {"AJT74", "Ace-High Flush"},
-  {"AJT73", "Ace-High Flush"},
-  {"AJT72", "Ace-High Flush"},
-  {"AJT65", "Ace-High Flush"},
-  {"AJT64", "Ace-High Flush"},
-  {"AJT63", "Ace-High Flush"},
-  {"AJT62", "Ace-High Flush"},
-  {"AJT54", "Ace-High Flush"},
-  {"AJT53", "Ace-High Flush"},
-  {"AJT52", "Ace-High Flush"},
-  {"AJT43", "Ace-High Flush"},
-  {"AJT42", "Ace-High Flush"},
-  {"AJT32", "Ace-High Flush"},
-  {"AJ987", "Ace-High Flush"},
-  {"AJ986", "Ace-High Flush"},
-  {"AJ985", "Ace-High Flush"},
-  {"AJ984", "Ace-High Flush"},
-  {"AJ983", "Ace-High Flush"},
-  {"AJ982", "Ace-High Flush"},
-  {"AJ976", "Ace-High Flush"},
-  {"AJ975", "Ace-High Flush"},
-  {"AJ974", "Ace-High Flush"},
-  {"AJ973", "Ace-High Flush"},
-  {"AJ972", "Ace-High Flush"},
-  {"AJ965", "Ace-High Flush"},
-  {"AJ964", "Ace-High Flush"},
-  {"AJ963", "Ace-High Flush"},
-  {"AJ962", "Ace-High Flush"},
-  {"AJ954", "Ace-High Flush"},
-  {"AJ953", "Ace-High Flush"},
-  {"AJ952", "Ace-High Flush"},
-  {"AJ943", "Ace-High Flush"},
-  {"AJ942", "Ace-High Flush"},
-  {"AJ932", "Ace-High Flush"},
-  {"AJ876", "Ace-High Flush"},
-  {"AJ875", "Ace-High Flush"},
-  {"AJ874", "Ace-High Flush"},
-  {"AJ873", "Ace-High Flush"},
-  {"AJ872", "Ace-High Flush"},
-  {"AJ865", "Ace-High Flush"},
-  {"AJ864", "Ace-High Flush"},
-  {"AJ863", "Ace-High Flush"},
-  {"AJ862", "Ace-High Flush"},
-  {"AJ854", "Ace-High Flush"},
-  {"AJ853", "Ace-High Flush"},
-  {"AJ852", "Ace-High Flush"},
-  {"AJ843", "Ace-High Flush"},
-  {"AJ842", "Ace-High Flush"},
-  {"AJ832", "Ace-High Flush"},
-  {"AJ765", "Ace-High Flush"},
-  {"AJ764", "Ace-High Flush"},
-  {"AJ763", "Ace-High Flush"},
-  {"AJ762", "Ace-High Flush"},
-  {"AJ754", "Ace-High Flush"},
-  {"AJ753", "Ace-High Flush"},
-  {"AJ752", "Ace-High Flush"},
-  {"AJ743", "Ace-High Flush"},
-  {"AJ742", "Ace-High Flush"},
-  {"AJ732", "Ace-High Flush"},
-  {"AJ654", "Ace-High Flush"},
-  {"AJ653", "Ace-High Flush"},
-  {"AJ652", "Ace-High Flush"},
-  {"AJ643", "Ace-High Flush"},
-  {"AJ642", "Ace-High Flush"},
-  {"AJ632", "Ace-High Flush"},
-  {"AJ543", "Ace-High Flush"},
-  {"AJ542", "Ace-High Flush"},
-  {"AJ532", "Ace-High Flush"},
-  {"AJ432", "Ace-High Flush"},
-  {"AT987", "Ace-High Flush"},
-  {"AT986", "Ace-High Flush"},
-  {"AT985", "Ace-High Flush"},
-  {"AT984", "Ace-High Flush"},
-  {"AT983", "Ace-High Flush"},
-  {"AT982", "Ace-High Flush"},
-  {"AT976", "Ace-High Flush"},
-  {"AT975", "Ace-High Flush"},
-  {"AT974", "Ace-High Flush"},
-  {"AT973", "Ace-High Flush"},
-  {"AT972", "Ace-High Flush"},
-  {"AT965", "Ace-High Flush"},
-  {"AT964", "Ace-High Flush"},
-  {"AT963", "Ace-High Flush"},
-  {"AT962", "Ace-High Flush"},
-  {"AT954", "Ace-High Flush"},
-  {"AT953", "Ace-High Flush"},
-  {"AT952", "Ace-High Flush"},
-  {"AT943", "Ace-High Flush"},
-  {"AT942", "Ace-High Flush"},
-  {"AT932", "Ace-High Flush"},
-  {"AT876", "Ace-High Flush"},
-  {"AT875", "Ace-High Flush"},
-  {"AT874", "Ace-High Flush"},
-  {"AT873", "Ace-High Flush"},
-  {"AT872", "Ace-High Flush"},
-  {"AT865", "Ace-High Flush"},
-  {"AT864", "Ace-High Flush"},
-  {"AT863", "Ace-High Flush"},
-  {"AT862", "Ace-High Flush"},
-  {"AT854", "Ace-High Flush"},
-  {"AT853", "Ace-High Flush"},
-  {"AT852", "Ace-High Flush"},
-  {"AT843", "Ace-High Flush"},
-  {"AT842", "Ace-High Flush"},
-  {"AT832", "Ace-High Flush"},
-  {"AT765", "Ace-High Flush"},
-  {"AT764", "Ace-High Flush"},
-  {"AT763", "Ace-High Flush"},
-  {"AT762", "Ace-High Flush"},
-  {"AT754", "Ace-High Flush"},
-  {"AT753", "Ace-High Flush"},
-  {"AT752", "Ace-High Flush"},
-  {"AT743", "Ace-High Flush"},
-  {"AT742", "Ace-High Flush"},
-  {"AT732", "Ace-High Flush"},
-  {"AT654", "Ace-High Flush"},
-  {"AT653", "Ace-High Flush"},
-  {"AT652", "Ace-High Flush"},
-  {"AT643", "Ace-High Flush"},
-  {"AT642", "Ace-High Flush"},
-  {"AT632", "Ace-High Flush"},
-  {"AT543", "Ace-High Flush"},
-  {"AT542", "Ace-High Flush"},
-  {"AT532", "Ace-High Flush"},
-  {"AT432", "Ace-High Flush"},
-  {"A9876", "Ace-High Flush"},
-  {"A9875", "Ace-High Flush"},
-  {"A9874", "Ace-High Flush"},
-  {"A9873", "Ace-High Flush"},
-  {"A9872", "Ace-High Flush"},
-  {"A9865", "Ace-High Flush"},
-  {"A9864", "Ace-High Flush"},
-  {"A9863", "Ace-High Flush"},
-  {"A9862", "Ace-High Flush"},
-  {"A9854", "Ace-High Flush"},
-  {"A9853", "Ace-High Flush"},
-  {"A9852", "Ace-High Flush"},
-  {"A9843", "Ace-High Flush"},
-  {"A9842", "Ace-High Flush"},
-  {"A9832", "Ace-High Flush"},
-  {"A9765", "Ace-High Flush"},
-  {"A9764", "Ace-High Flush"},
-  {"A9763", "Ace-High Flush"},
-  {"A9762", "Ace-High Flush"},
-  {"A9754", "Ace-High Flush"},
-  {"A9753", "Ace-High Flush"},
-  {"A9752", "Ace-High Flush"},
-  {"A9743", "Ace-High Flush"},
-  {"A9742", "Ace-High Flush"},
-  {"A9732", "Ace-High Flush"},
-  {"A9654", "Ace-High Flush"},
-  {"A9653", "Ace-High Flush"},
-  {"A9652", "Ace-High Flush"},
-  {"A9643", "Ace-High Flush"},
-  {"A9642", "Ace-High Flush"},
-  {"A9632", "Ace-High Flush"},
-  {"A9543", "Ace-High Flush"},
-  {"A9542", "Ace-High Flush"},
-  {"A9532", "Ace-High Flush"},
-  {"A9432", "Ace-High Flush"},
-  {"A8765", "Ace-High Flush"},
-  {"A8764", "Ace-High Flush"},
-  {"A8763", "Ace-High Flush"},
-  {"A8762", "Ace-High Flush"},
-  {"A8754", "Ace-High Flush"},
-  {"A8753", "Ace-High Flush"},
-  {"A8752", "Ace-High Flush"},
-  {"A8743", "Ace-High Flush"},
-  {"A8742", "Ace-High Flush"},
-  {"A8732", "Ace-High Flush"},
-  {"A8654", "Ace-High Flush"},
-  {"A8653", "Ace-High Flush"},
-  {"A8652", "Ace-High Flush"},
-  {"A8643", "Ace-High Flush"},
-  {"A8642", "Ace-High Flush"},
-  {"A8632", "Ace-High Flush"},
-  {"A8543", "Ace-High Flush"},
-  {"A8542", "Ace-High Flush"},
-  {"A8532", "Ace-High Flush"},
-  {"A8432", "Ace-High Flush"},
-  {"A7654", "Ace-High Flush"},
-  {"A7653", "Ace-High Flush"},
-  {"A7652", "Ace-High Flush"},
-  {"A7643", "Ace-High Flush"},
-  {"A7642", "Ace-High Flush"},
-  {"A7632", "Ace-High Flush"},
-  {"A7543", "Ace-High Flush"},
-  {"A7542", "Ace-High Flush"},
-  {"A7532", "Ace-High Flush"},
-  {"A7432", "Ace-High Flush"},
-  {"A6543", "Ace-High Flush"},
-  {"A6542", "Ace-High Flush"},
-  {"A6532", "Ace-High Flush"},
-  {"A6432", "Ace-High Flush"},
-  {"KQJT8", "King-High Flush"},
-  {"KQJT7", "King-High Flush"},
-  {"KQJT6", "King-High Flush"},
-  {"KQJT5", "King-High Flush"},
-  {"KQJT4", "King-High Flush"},
-  {"KQJT3", "King-High Flush"},
-  {"KQJT2", "King-High Flush"},
-  {"KQJ98", "King-High Flush"},
-  {"KQJ97", "King-High Flush"},
-  {"KQJ96", "King-High Flush"},
-  {"KQJ95", "King-High Flush"},
-  {"KQJ94", "King-High Flush"},
-  {"KQJ93", "King-High Flush"},
-  {"KQJ92", "King-High Flush"},
-  {"KQJ87", "King-High Flush"},
-  {"KQJ86", "King-High Flush"},
-  {"KQJ85", "King-High Flush"},
-  {"KQJ84", "King-High Flush"},
-  {"KQJ83", "King-High Flush"},
-  {"KQJ82", "King-High Flush"},
-  {"KQJ76", "King-High Flush"},
-  {"KQJ75", "King-High Flush"},
-  {"KQJ74", "King-High Flush"},
-  {"KQJ73", "King-High Flush"},
-  {"KQJ72", "King-High Flush"},
-  {"KQJ65", "King-High Flush"},
-  {"KQJ64", "King-High Flush"},
-  {"KQJ63", "King-High Flush"},
-  {"KQJ62", "King-High Flush"},
-  {"KQJ54", "King-High Flush"},
-  {"KQJ53", "King-High Flush"},
-  {"KQJ52", "King-High Flush"},
-  {"KQJ43", "King-High Flush"},
-  {"KQJ42", "King-High Flush"},
-  {"KQJ32", "King-High Flush"},
-  {"KQT98", "King-High Flush"},
-  {"KQT97", "King-High Flush"},
-  {"KQT96", "King-High Flush"},
-  {"KQT95", "King-High Flush"},
-  {"KQT94", "King-High Flush"},
-  {"KQT93", "King-High Flush"},
-  {"KQT92", "King-High Flush"},
-  {"KQT87", "King-High Flush"},
-  {"KQT86", "King-High Flush"},
-  {"KQT85", "King-High Flush"},
-  {"KQT84", "King-High Flush"},
-  {"KQT83", "King-High Flush"},
-  {"KQT82", "King-High Flush"},
-  {"KQT76", "King-High Flush"},
-  {"KQT75", "King-High Flush"},
-  {"KQT74", "King-High Flush"},
-  {"KQT73", "King-High Flush"},
-  {"KQT72", "King-High Flush"},
-  {"KQT65", "King-High Flush"},
-  {"KQT64", "King-High Flush"},
-  {"KQT63", "King-High Flush"},
-  {"KQT62", "King-High Flush"},
-  {"KQT54", "King-High Flush"},
-  {"KQT53", "King-High Flush"},
-  {"KQT52", "King-High Flush"},
-  {"KQT43", "King-High Flush"},
-  {"KQT42", "King-High Flush"},
-  {"KQT32", "King-High Flush"},
-  {"KQ987", "King-High Flush"},
-  {"KQ986", "King-High Flush"},
-  {"KQ985", "King-High Flush"},
-  {"KQ984", "King-High Flush"},
-  {"KQ983", "King-High Flush"},
-  {"KQ982", "King-High Flush"},
-  {"KQ976", "King-High Flush"},
-  {"KQ975", "King-High Flush"},
-  {"KQ974", "King-High Flush"},
-  {"KQ973", "King-High Flush"},
-  {"KQ972", "King-High Flush"},
-  {"KQ965", "King-High Flush"},
-  {"KQ964", "King-High Flush"},
-  {"KQ963", "King-High Flush"},
-  {"KQ962", "King-High Flush"},
-  {"KQ954", "King-High Flush"},
-  {"KQ953", "King-High Flush"},
-  {"KQ952", "King-High Flush"},
-  {"KQ943", "King-High Flush"},
-  {"KQ942", "King-High Flush"},
-  {"KQ932", "King-High Flush"},
-  {"KQ876", "King-High Flush"},
-  {"KQ875", "King-High Flush"},
-  {"KQ874", "King-High Flush"},
-  {"KQ873", "King-High Flush"},
-  {"KQ872", "King-High Flush"},
-  {"KQ865", "King-High Flush"},
-  {"KQ864", "King-High Flush"},
-  {"KQ863", "King-High Flush"},
-  {"KQ862", "King-High Flush"},
-  {"KQ854", "King-High Flush"},
-  {"KQ853", "King-High Flush"},
-  {"KQ852", "King-High Flush"},
-  {"KQ843", "King-High Flush"},
-  {"KQ842", "King-High Flush"},
-  {"KQ832", "King-High Flush"},
-  {"KQ765", "King-High Flush"},
-  {"KQ764", "King-High Flush"},
-  {"KQ763", "King-High Flush"},
-  {"KQ762", "King-High Flush"},
-  {"KQ754", "King-High Flush"},
-  {"KQ753", "King-High Flush"},
-  {"KQ752", "King-High Flush"},
-  {"KQ743", "King-High Flush"},
-  {"KQ742", "King-High Flush"},
-  {"KQ732", "King-High Flush"},
-  {"KQ654", "King-High Flush"},
-  {"KQ653", "King-High Flush"},
-  {"KQ652", "King-High Flush"},
-  {"KQ643", "King-High Flush"},
-  {"KQ642", "King-High Flush"},
-  {"KQ632", "King-High Flush"},
-  {"KQ543", "King-High Flush"},
-  {"KQ542", "King-High Flush"},
-  {"KQ532", "King-High Flush"},
-  {"KQ432", "King-High Flush"},
-  {"KJT98", "King-High Flush"},
-  {"KJT97", "King-High Flush"},
-  {"KJT96", "King-High Flush"},
-  {"KJT95", "King-High Flush"},
-  {"KJT94", "King-High Flush"},
-  {"KJT93", "King-High Flush"},
-  {"KJT92", "King-High Flush"},
-  {"KJT87", "King-High Flush"},
-  {"KJT86", "King-High Flush"},
-  {"KJT85", "King-High Flush"},
-  {"KJT84", "King-High Flush"},
-  {"KJT83", "King-High Flush"},
-  {"KJT82", "King-High Flush"},
-  {"KJT76", "King-High Flush"},
-  {"KJT75", "King-High Flush"},
-  {"KJT74", "King-High Flush"},
-  {"KJT73", "King-High Flush"},
-  {"KJT72", "King-High Flush"},
-  {"KJT65", "King-High Flush"},
-  {"KJT64", "King-High Flush"},
-  {"KJT63", "King-High Flush"},
-  {"KJT62", "King-High Flush"},
-  {"KJT54", "King-High Flush"},
-  {"KJT53", "King-High Flush"},
-  {"KJT52", "King-High Flush"},
-  {"KJT43", "King-High Flush"},
-  {"KJT42", "King-High Flush"},
-  {"KJT32", "King-High Flush"},
-  {"KJ987", "King-High Flush"},
-  {"KJ986", "King-High Flush"},
-  {"KJ985", "King-High Flush"},
-  {"KJ984", "King-High Flush"},
-  {"KJ983", "King-High Flush"},
-  {"KJ982", "King-High Flush"},
-  {"KJ976", "King-High Flush"},
-  {"KJ975", "King-High Flush"},
-  {"KJ974", "King-High Flush"},
-  {"KJ973", "King-High Flush"},
-  {"KJ972", "King-High Flush"},
-  {"KJ965", "King-High Flush"},
-  {"KJ964", "King-High Flush"},
-  {"KJ963", "King-High Flush"},
-  {"KJ962", "King-High Flush"},
-  {"KJ954", "King-High Flush"},
-  {"KJ953", "King-High Flush"},
-  {"KJ952", "King-High Flush"},
-  {"KJ943", "King-High Flush"},
-  {"KJ942", "King-High Flush"},
-  {"KJ932", "King-High Flush"},
-  {"KJ876", "King-High Flush"},
-  {"KJ875", "King-High Flush"},
-  {"KJ874", "King-High Flush"},
-  {"KJ873", "King-High Flush"},
-  {"KJ872", "King-High Flush"},
-  {"KJ865", "King-High Flush"},
-  {"KJ864", "King-High Flush"},
-  {"KJ863", "King-High Flush"},
-  {"KJ862", "King-High Flush"},
-  {"KJ854", "King-High Flush"},
-  {"KJ853", "King-High Flush"},
-  {"KJ852", "King-High Flush"},
-  {"KJ843", "King-High Flush"},
-  {"KJ842", "King-High Flush"},
-  {"KJ832", "King-High Flush"},
-  {"KJ765", "King-High Flush"},
-  {"KJ764", "King-High Flush"},
-  {"KJ763", "King-High Flush"},
-  {"KJ762", "King-High Flush"},
-  {"KJ754", "King-High Flush"},
-  {"KJ753", "King-High Flush"},
-  {"KJ752", "King-High Flush"},
-  {"KJ743", "King-High Flush"},
-  {"KJ742", "King-High Flush"},
-  {"KJ732", "King-High Flush"},
-  {"KJ654", "King-High Flush"},
-  {"KJ653", "King-High Flush"},
-  {"KJ652", "King-High Flush"},
-  {"KJ643", "King-High Flush"},
-  {"KJ642", "King-High Flush"},
-  {"KJ632", "King-High Flush"},
-  {"KJ543", "King-High Flush"},
-  {"KJ542", "King-High Flush"},
-  {"KJ532", "King-High Flush"},
-  {"KJ432", "King-High Flush"},
-  {"KT987", "King-High Flush"},
-  {"KT986", "King-High Flush"},
-  {"KT985", "King-High Flush"},
-  {"KT984", "King-High Flush"},
-  {"KT983", "King-High Flush"},
-  {"KT982", "King-High Flush"},
-  {"KT976", "King-High Flush"},
-  {"KT975", "King-High Flush"},
-  {"KT974", "King-High Flush"},
-  {"KT973", "King-High Flush"},
-  {"KT972", "King-High Flush"},
-  {"KT965", "King-High Flush"},
-  {"KT964", "King-High Flush"},
-  {"KT963", "King-High Flush"},
-  {"KT962", "King-High Flush"},
-  {"KT954", "King-High Flush"},
-  {"KT953", "King-High Flush"},
-  {"KT952", "King-High Flush"},
-  {"KT943", "King-High Flush"},
-  {"KT942", "King-High Flush"},
-  {"KT932", "King-High Flush"},
-  {"KT876", "King-High Flush"},
-  {"KT875", "King-High Flush"},
-  {"KT874", "King-High Flush"},
-  {"KT873", "King-High Flush"},
-  {"KT872", "King-High Flush"},
-  {"KT865", "King-High Flush"},
-  {"KT864", "King-High Flush"},
-  {"KT863", "King-High Flush"},
-  {"KT862", "King-High Flush"},
-  {"KT854", "King-High Flush"},
-  {"KT853", "King-High Flush"},
-  {"KT852", "King-High Flush"},
-  {"KT843", "King-High Flush"},
-  {"KT842", "King-High Flush"},
-  {"KT832", "King-High Flush"},
-  {"KT765", "King-High Flush"},
-  {"KT764", "King-High Flush"},
-  {"KT763", "King-High Flush"},
-  {"KT762", "King-High Flush"},
-  {"KT754", "King-High Flush"},
-  {"KT753", "King-High Flush"},
-  {"KT752", "King-High Flush"},
-  {"KT743", "King-High Flush"},
-  {"KT742", "King-High Flush"},
-  {"KT732", "King-High Flush"},
-  {"KT654", "King-High Flush"},
-  {"KT653", "King-High Flush"},
-  {"KT652", "King-High Flush"},
-  {"KT643", "King-High Flush"},
-  {"KT642", "King-High Flush"},
-  {"KT632", "King-High Flush"},
-  {"KT543", "King-High Flush"},
-  {"KT542", "King-High Flush"},
-  {"KT532", "King-High Flush"},
-  {"KT432", "King-High Flush"},
-  {"K9876", "King-High Flush"},
-  {"K9875", "King-High Flush"},
-  {"K9874", "King-High Flush"},
-  {"K9873", "King-High Flush"},
-  {"K9872", "King-High Flush"},
-  {"K9865", "King-High Flush"},
-  {"K9864", "King-High Flush"},
-  {"K9863", "King-High Flush"},
-  {"K9862", "King-High Flush"},
-  {"K9854", "King-High Flush"},
-  {"K9853", "King-High Flush"},
-  {"K9852", "King-High Flush"},
-  {"K9843", "King-High Flush"},
-  {"K9842", "King-High Flush"},
-  {"K9832", "King-High Flush"},
-  {"K9765", "King-High Flush"},
-  {"K9764", "King-High Flush"},
-  {"K9763", "King-High Flush"},
-  {"K9762", "King-High Flush"},
-  {"K9754", "King-High Flush"},
-  {"K9753", "King-High Flush"},
-  {"K9752", "King-High Flush"},
-  {"K9743", "King-High Flush"},
-  {"K9742", "King-High Flush"},
-  {"K9732", "King-High Flush"},
-  {"K9654", "King-High Flush"},
-  {"K9653", "King-High Flush"},
-  {"K9652", "King-High Flush"},
-  {"K9643", "King-High Flush"},
-  {"K9642", "King-High Flush"},
-  {"K9632", "King-High Flush"},
-  {"K9543", "King-High Flush"},
-  {"K9542", "King-High Flush"},
-  {"K9532", "King-High Flush"},
-  {"K9432", "King-High Flush"},
-  {"K8765", "King-High Flush"},
-  {"K8764", "King-High Flush"},
-  {"K8763", "King-High Flush"},
-  {"K8762", "King-High Flush"},
-  {"K8754", "King-High Flush"},
-  {"K8753", "King-High Flush"},
-  {"K8752", "King-High Flush"},
-  {"K8743", "King-High Flush"},
-  {"K8742", "King-High Flush"},
-  {"K8732", "King-High Flush"},
-  {"K8654", "King-High Flush"},
-  {"K8653", "King-High Flush"},
-  {"K8652", "King-High Flush"},
-  {"K8643", "King-High Flush"},
-  {"K8642", "King-High Flush"},
-  {"K8632", "King-High Flush"},
-  {"K8543", "King-High Flush"},
-  {"K8542", "King-High Flush"},
-  {"K8532", "King-High Flush"},
-  {"K8432", "King-High Flush"},
-  {"K7654", "King-High Flush"},
-  {"K7653", "King-High Flush"},
-  {"K7652", "King-High Flush"},
-  {"K7643", "King-High Flush"},
-  {"K7642", "King-High Flush"},
-  {"K7632", "King-High Flush"},
-  {"K7543", "King-High Flush"},
-  {"K7542", "King-High Flush"},
-  {"K7532", "King-High Flush"},
-  {"K7432", "King-High Flush"},
-  {"K6543", "King-High Flush"},
-  {"K6542", "King-High Flush"},
-  {"K6532", "King-High Flush"},
-  {"K6432", "King-High Flush"},
-  {"K5432", "King-High Flush"},
-  {"QJT97", "Queen-High Flush"},
-  {"QJT96", "Queen-High Flush"},
-  {"QJT95", "Queen-High Flush"},
-  {"QJT94", "Queen-High Flush"},
-  {"QJT93", "Queen-High Flush"},
-  {"QJT92", "Queen-High Flush"},
-  {"QJT87", "Queen-High Flush"},
-  {"QJT86", "Queen-High Flush"},
-  {"QJT85", "Queen-High Flush"},
-  {"QJT84", "Queen-High Flush"},
-  {"QJT83", "Queen-High Flush"},
-  {"QJT82", "Queen-High Flush"},
-  {"QJT76", "Queen-High Flush"},
-  {"QJT75", "Queen-High Flush"},
-  {"QJT74", "Queen-High Flush"},
-  {"QJT73", "Queen-High Flush"},
-  {"QJT72", "Queen-High Flush"},
-  {"QJT65", "Queen-High Flush"},
-  {"QJT64", "Queen-High Flush"},
-  {"QJT63", "Queen-High Flush"},
-  {"QJT62", "Queen-High Flush"},
-  {"QJT54", "Queen-High Flush"},
-  {"QJT53", "Queen-High Flush"},
-  {"QJT52", "Queen-High Flush"},
-  {"QJT43", "Queen-High Flush"},
-  {"QJT42", "Queen-High Flush"},
-  {"QJT32", "Queen-High Flush"},
-  {"QJ987", "Queen-High Flush"},
-  {"QJ986", "Queen-High Flush"},
-  {"QJ985", "Queen-High Flush"},
-  {"QJ984", "Queen-High Flush"},
-  {"QJ983", "Queen-High Flush"},
-  {"QJ982", "Queen-High Flush"},
-  {"QJ976", "Queen-High Flush"},
-  {"QJ975", "Queen-High Flush"},
-  {"QJ974", "Queen-High Flush"},
-  {"QJ973", "Queen-High Flush"},
-  {"QJ972", "Queen-High Flush"},
-  {"QJ965", "Queen-High Flush"},
-  {"QJ964", "Queen-High Flush"},
-  {"QJ963", "Queen-High Flush"},
-  {"QJ962", "Queen-High Flush"},
-  {"QJ954", "Queen-High Flush"},
-  {"QJ953", "Queen-High Flush"},
-  {"QJ952", "Queen-High Flush"},
-  {"QJ943", "Queen-High Flush"},
-  {"QJ942", "Queen-High Flush"},
-  {"QJ932", "Queen-High Flush"},
-  {"QJ876", "Queen-High Flush"},
-  {"QJ875", "Queen-High Flush"},
-  {"QJ874", "Queen-High Flush"},
-  {"QJ873", "Queen-High Flush"},
-  {"QJ872", "Queen-High Flush"},
-  {"QJ865", "Queen-High Flush"},
-  {"QJ864", "Queen-High Flush"},
-  {"QJ863", "Queen-High Flush"},
-  {"QJ862", "Queen-High Flush"},
-  {"QJ854", "Queen-High Flush"},
-  {"QJ853", "Queen-High Flush"},
-  {"QJ852", "Queen-High Flush"},
-  {"QJ843", "Queen-High Flush"},
-  {"QJ842", "Queen-High Flush"},
-  {"QJ832", "Queen-High Flush"},
-  {"QJ765", "Queen-High Flush"},
-  {"QJ764", "Queen-High Flush"},
-  {"QJ763", "Queen-High Flush"},
-  {"QJ762", "Queen-High Flush"},
-  {"QJ754", "Queen-High Flush"},
-  {"QJ753", "Queen-High Flush"},
-  {"QJ752", "Queen-High Flush"},
-  {"QJ743", "Queen-High Flush"},
-  {"QJ742", "Queen-High Flush"},
-  {"QJ732", "Queen-High Flush"},
-  {"QJ654", "Queen-High Flush"},
-  {"QJ653", "Queen-High Flush"},
-  {"QJ652", "Queen-High Flush"},
-  {"QJ643", "Queen-High Flush"},
-  {"QJ642", "Queen-High Flush"},
-  {"QJ632", "Queen-High Flush"},
-  {"QJ543", "Queen-High Flush"},
-  {"QJ542", "Queen-High Flush"},
-  {"QJ532", "Queen-High Flush"},
-  {"QJ432", "Queen-High Flush"},
-  {"QT987", "Queen-High Flush"},
-  {"QT986", "Queen-High Flush"},
-  {"QT985", "Queen-High Flush"},
-  {"QT984", "Queen-High Flush"},
-  {"QT983", "Queen-High Flush"},
-  {"QT982", "Queen-High Flush"},
-  {"QT976", "Queen-High Flush"},
-  {"QT975", "Queen-High Flush"},
-  {"QT974", "Queen-High Flush"},
-  {"QT973", "Queen-High Flush"},
-  {"QT972", "Queen-High Flush"},
-  {"QT965", "Queen-High Flush"},
-  {"QT964", "Queen-High Flush"},
-  {"QT963", "Queen-High Flush"},
-  {"QT962", "Queen-High Flush"},
-  {"QT954", "Queen-High Flush"},
-  {"QT953", "Queen-High Flush"},
-  {"QT952", "Queen-High Flush"},
-  {"QT943", "Queen-High Flush"},
-  {"QT942", "Queen-High Flush"},
-  {"QT932", "Queen-High Flush"},
-  {"QT876", "Queen-High Flush"},
-  {"QT875", "Queen-High Flush"},
-  {"QT874", "Queen-High Flush"},
-  {"QT873", "Queen-High Flush"},
-  {"QT872", "Queen-High Flush"},
-  {"QT865", "Queen-High Flush"},
-  {"QT864", "Queen-High Flush"},
-  {"QT863", "Queen-High Flush"},
-  {"QT862", "Queen-High Flush"},
-  {"QT854", "Queen-High Flush"},
-  {"QT853", "Queen-High Flush"},
-  {"QT852", "Queen-High Flush"},
-  {"QT843", "Queen-High Flush"},
-  {"QT842", "Queen-High Flush"},
-  {"QT832", "Queen-High Flush"},
-  {"QT765", "Queen-High Flush"},
-  {"QT764", "Queen-High Flush"},
-  {"QT763", "Queen-High Flush"},
-  {"QT762", "Queen-High Flush"},
-  {"QT754", "Queen-High Flush"},
-  {"QT753", "Queen-High Flush"},
-  {"QT752", "Queen-High Flush"},
-  {"QT743", "Queen-High Flush"},
-  {"QT742", "Queen-High Flush"},
-  {"QT732", "Queen-High Flush"},
-  {"QT654", "Queen-High Flush"},
-  {"QT653", "Queen-High Flush"},
-  {"QT652", "Queen-High Flush"},
-  {"QT643", "Queen-High Flush"},
-  {"QT642", "Queen-High Flush"},
-  {"QT632", "Queen-High Flush"},
-  {"QT543", "Queen-High Flush"},
-  {"QT542", "Queen-High Flush"},
-  {"QT532", "Queen-High Flush"},
-  {"QT432", "Queen-High Flush"},
-  {"Q9876", "Queen-High Flush"},
-  {"Q9875", "Queen-High Flush"},
-  {"Q9874", "Queen-High Flush"},
-  {"Q9873", "Queen-High Flush"},
-  {"Q9872", "Queen-High Flush"},
-  {"Q9865", "Queen-High Flush"},
-  {"Q9864", "Queen-High Flush"},
-  {"Q9863", "Queen-High Flush"},
-  {"Q9862", "Queen-High Flush"},
-  {"Q9854", "Queen-High Flush"},
-  {"Q9853", "Queen-High Flush"},
-  {"Q9852", "Queen-High Flush"},
-  {"Q9843", "Queen-High Flush"},
-  {"Q9842", "Queen-High Flush"},
-  {"Q9832", "Queen-High Flush"},
-  {"Q9765", "Queen-High Flush"},
-  {"Q9764", "Queen-High Flush"},
-  {"Q9763", "Queen-High Flush"},
-  {"Q9762", "Queen-High Flush"},
-  {"Q9754", "Queen-High Flush"},
-  {"Q9753", "Queen-High Flush"},
-  {"Q9752", "Queen-High Flush"},
-  {"Q9743", "Queen-High Flush"},
-  {"Q9742", "Queen-High Flush"},
-  {"Q9732", "Queen-High Flush"},
-  {"Q9654", "Queen-High Flush"},
-  {"Q9653", "Queen-High Flush"},
-  {"Q9652", "Queen-High Flush"},
-  {"Q9643", "Queen-High Flush"},
-  {"Q9642", "Queen-High Flush"},
-  {"Q9632", "Queen-High Flush"},
-  {"Q9543", "Queen-High Flush"},
-  {"Q9542", "Queen-High Flush"},
-  {"Q9532", "Queen-High Flush"},
-  {"Q9432", "Queen-High Flush"},
-  {"Q8765", "Queen-High Flush"},
-  {"Q8764", "Queen-High Flush"},
-  {"Q8763", "Queen-High Flush"},
-  {"Q8762", "Queen-High Flush"},
-  {"Q8754", "Queen-High Flush"},
-  {"Q8753", "Queen-High Flush"},
-  {"Q8752", "Queen-High Flush"},
-  {"Q8743", "Queen-High Flush"},
-  {"Q8742", "Queen-High Flush"},
-  {"Q8732", "Queen-High Flush"},
-  {"Q8654", "Queen-High Flush"},
-  {"Q8653", "Queen-High Flush"},
-  {"Q8652", "Queen-High Flush"},
-  {"Q8643", "Queen-High Flush"},
-  {"Q8642", "Queen-High Flush"},
-  {"Q8632", "Queen-High Flush"},
-  {"Q8543", "Queen-High Flush"},
-  {"Q8542", "Queen-High Flush"},
-  {"Q8532", "Queen-High Flush"},
-  {"Q8432", "Queen-High Flush"},
-  {"Q7654", "Queen-High Flush"},
-  {"Q7653", "Queen-High Flush"},
-  {"Q7652", "Queen-High Flush"},
-  {"Q7643", "Queen-High Flush"},
-  {"Q7642", "Queen-High Flush"},
-  {"Q7632", "Queen-High Flush"},
-  {"Q7543", "Queen-High Flush"},
-  {"Q7542", "Queen-High Flush"},
-  {"Q7532", "Queen-High Flush"},
-  {"Q7432", "Queen-High Flush"},
-  {"Q6543", "Queen-High Flush"},
-  {"Q6542", "Queen-High Flush"},
-  {"Q6532", "Queen-High Flush"},
-  {"Q6432", "Queen-High Flush"},
-  {"Q5432", "Queen-High Flush"},
-  {"JT986", "Jack-High Flush"},
-  {"JT985", "Jack-High Flush"},
-  {"JT984", "Jack-High Flush"},
-  {"JT983", "Jack-High Flush"},
-  {"JT982", "Jack-High Flush"},
-  {"JT976", "Jack-High Flush"},
-  {"JT975", "Jack-High Flush"},
-  {"JT974", "Jack-High Flush"},
-  {"JT973", "Jack-High Flush"},
-  {"JT972", "Jack-High Flush"},
-  {"JT965", "Jack-High Flush"},
-  {"JT964", "Jack-High Flush"},
-  {"JT963", "Jack-High Flush"},
-  {"JT962", "Jack-High Flush"},
-  {"JT954", "Jack-High Flush"},
-  {"JT953", "Jack-High Flush"},
-  {"JT952", "Jack-High Flush"},
-  {"JT943", "Jack-High Flush"},
-  {"JT942", "Jack-High Flush"},
-  {"JT932", "Jack-High Flush"},
-  {"JT876", "Jack-High Flush"},
-  {"JT875", "Jack-High Flush"},
-  {"JT874", "Jack-High Flush"},
-  {"JT873", "Jack-High Flush"},
-  {"JT872", "Jack-High Flush"},
-  {"JT865", "Jack-High Flush"},
-  {"JT864", "Jack-High Flush"},
-  {"JT863", "Jack-High Flush"},
-  {"JT862", "Jack-High Flush"},
-  {"JT854", "Jack-High Flush"},
-  {"JT853", "Jack-High Flush"},
-  {"JT852", "Jack-High Flush"},
-  {"JT843", "Jack-High Flush"},
-  {"JT842", "Jack-High Flush"},
-  {"JT832", "Jack-High Flush"},
-  {"JT765", "Jack-High Flush"},
-  {"JT764", "Jack-High Flush"},
-  {"JT763", "Jack-High Flush"},
-  {"JT762", "Jack-High Flush"},
-  {"JT754", "Jack-High Flush"},
-  {"JT753", "Jack-High Flush"},
-  {"JT752", "Jack-High Flush"},
-  {"JT743", "Jack-High Flush"},
-  {"JT742", "Jack-High Flush"},
-  {"JT732", "Jack-High Flush"},
-  {"JT654", "Jack-High Flush"},
-  {"JT653", "Jack-High Flush"},
-  {"JT652", "Jack-High Flush"},
-  {"JT643", "Jack-High Flush"},
-  {"JT642", "Jack-High Flush"},
-  {"JT632", "Jack-High Flush"},
-  {"JT543", "Jack-High Flush"},
-  {"JT542", "Jack-High Flush"},
-  {"JT532", "Jack-High Flush"},
-  {"JT432", "Jack-High Flush"},
-  {"J9876", "Jack-High Flush"},
-  {"J9875", "Jack-High Flush"},
-  {"J9874", "Jack-High Flush"},
-  {"J9873", "Jack-High Flush"},
-  {"J9872", "Jack-High Flush"},
-  {"J9865", "Jack-High Flush"},
-  {"J9864", "Jack-High Flush"},
-  {"J9863", "Jack-High Flush"},
-  {"J9862", "Jack-High Flush"},
-  {"J9854", "Jack-High Flush"},
-  {"J9853", "Jack-High Flush"},
-  {"J9852", "Jack-High Flush"},
-  {"J9843", "Jack-High Flush"},
-  {"J9842", "Jack-High Flush"},
-  {"J9832", "Jack-High Flush"},
-  {"J9765", "Jack-High Flush"},
-  {"J9764", "Jack-High Flush"},
-  {"J9763", "Jack-High Flush"},
-  {"J9762", "Jack-High Flush"},
-  {"J9754", "Jack-High Flush"},
-  {"J9753", "Jack-High Flush"},
-  {"J9752", "Jack-High Flush"},
-  {"J9743", "Jack-High Flush"},
-  {"J9742", "Jack-High Flush"},
-  {"J9732", "Jack-High Flush"},
-  {"J9654", "Jack-High Flush"},
-  {"J9653", "Jack-High Flush"},
-  {"J9652", "Jack-High Flush"},
-  {"J9643", "Jack-High Flush"},
-  {"J9642", "Jack-High Flush"},
-  {"J9632", "Jack-High Flush"},
-  {"J9543", "Jack-High Flush"},
-  {"J9542", "Jack-High Flush"},
-  {"J9532", "Jack-High Flush"},
-  {"J9432", "Jack-High Flush"},
-  {"J8765", "Jack-High Flush"},
-  {"J8764", "Jack-High Flush"},
-  {"J8763", "Jack-High Flush"},
-  {"J8762", "Jack-High Flush"},
-  {"J8754", "Jack-High Flush"},
-  {"J8753", "Jack-High Flush"},
-  {"J8752", "Jack-High Flush"},
-  {"J8743", "Jack-High Flush"},
-  {"J8742", "Jack-High Flush"},
-  {"J8732", "Jack-High Flush"},
-  {"J8654", "Jack-High Flush"},
-  {"J8653", "Jack-High Flush"},
-  {"J8652", "Jack-High Flush"},
-  {"J8643", "Jack-High Flush"},
-  {"J8642", "Jack-High Flush"},
-  {"J8632", "Jack-High Flush"},
-  {"J8543", "Jack-High Flush"},
-  {"J8542", "Jack-High Flush"},
-  {"J8532", "Jack-High Flush"},
-  {"J8432", "Jack-High Flush"},
-  {"J7654", "Jack-High Flush"},
-  {"J7653", "Jack-High Flush"},
-  {"J7652", "Jack-High Flush"},
-  {"J7643", "Jack-High Flush"},
-  {"J7642", "Jack-High Flush"},
-  {"J7632", "Jack-High Flush"},
-  {"J7543", "Jack-High Flush"},
-  {"J7542", "Jack-High Flush"},
-  {"J7532", "Jack-High Flush"},
-  {"J7432", "Jack-High Flush"},
-  {"J6543", "Jack-High Flush"},
-  {"J6542", "Jack-High Flush"},
-  {"J6532", "Jack-High Flush"},
-  {"J6432", "Jack-High Flush"},
-  {"J5432", "Jack-High Flush"},
-  {"T9875", "Ten-High Flush"},
-  {"T9874", "Ten-High Flush"},
-  {"T9873", "Ten-High Flush"},
-  {"T9872", "Ten-High Flush"},
-  {"T9865", "Ten-High Flush"},
-  {"T9864", "Ten-High Flush"},
-  {"T9863", "Ten-High Flush"},
-  {"T9862", "Ten-High Flush"},
-  {"T9854", "Ten-High Flush"},
-  {"T9853", "Ten-High Flush"},
-  {"T9852", "Ten-High Flush"},
-  {"T9843", "Ten-High Flush"},
-  {"T9842", "Ten-High Flush"},
-  {"T9832", "Ten-High Flush"},
-  {"T9765", "Ten-High Flush"},
-  {"T9764", "Ten-High Flush"},
-  {"T9763", "Ten-High Flush"},
-  {"T9762", "Ten-High Flush"},
-  {"T9754", "Ten-High Flush"},
-  {"T9753", "Ten-High Flush"},
-  {"T9752", "Ten-High Flush"},
-  {"T9743", "Ten-High Flush"},
-  {"T9742", "Ten-High Flush"},
-  {"T9732", "Ten-High Flush"},
-  {"T9654", "Ten-High Flush"},
-  {"T9653", "Ten-High Flush"},
-  {"T9652", "Ten-High Flush"},
-  {"T9643", "Ten-High Flush"},
-  {"T9642", "Ten-High Flush"},
-  {"T9632", "Ten-High Flush"},
-  {"T9543", "Ten-High Flush"},
-  {"T9542", "Ten-High Flush"},
-  {"T9532", "Ten-High Flush"},
-  {"T9432", "Ten-High Flush"},
-  {"T8765", "Ten-High Flush"},
-  {"T8764", "Ten-High Flush"},
-  {"T8763", "Ten-High Flush"},
-  {"T8762", "Ten-High Flush"},
-  {"T8754", "Ten-High Flush"},
-  {"T8753", "Ten-High Flush"},
-  {"T8752", "Ten-High Flush"},
-  {"T8743", "Ten-High Flush"},
-  {"T8742", "Ten-High Flush"},
-  {"T8732", "Ten-High Flush"},
-  {"T8654", "Ten-High Flush"},
-  {"T8653", "Ten-High Flush"},
-  {"T8652", "Ten-High Flush"},
-  {"T8643", "Ten-High Flush"},
-  {"T8642", "Ten-High Flush"},
-  {"T8632", "Ten-High Flush"},
-  {"T8543", "Ten-High Flush"},
-  {"T8542", "Ten-High Flush"},
-  {"T8532", "Ten-High Flush"},
-  {"T8432", "Ten-High Flush"},
-  {"T7654", "Ten-High Flush"},
-  {"T7653", "Ten-High Flush"},
-  {"T7652", "Ten-High Flush"},
-  {"T7643", "Ten-High Flush"},
-  {"T7642", "Ten-High Flush"},
-  {"T7632", "Ten-High Flush"},
-  {"T7543", "Ten-High Flush"},
-  {"T7542", "Ten-High Flush"},
-  {"T7532", "Ten-High Flush"},
-  {"T7432", "Ten-High Flush"},
-  {"T6543", "Ten-High Flush"},
-  {"T6542", "Ten-High Flush"},
-  {"T6532", "Ten-High Flush"},
-  {"T6432", "Ten-High Flush"},
-  {"T5432", "Ten-High Flush"},
-  {"98764", "Nine-High Flush"},
-  {"98763", "Nine-High Flush"},
-  {"98762", "Nine-High Flush"},
-  {"98754", "Nine-High Flush"},
-  {"98753", "Nine-High Flush"},
-  {"98752", "Nine-High Flush"},
-  {"98743", "Nine-High Flush"},
-  {"98742", "Nine-High Flush"},
-  {"98732", "Nine-High Flush"},
-  {"98654", "Nine-High Flush"},
-  {"98653", "Nine-High Flush"},
-  {"98652", "Nine-High Flush"},
-  {"98643", "Nine-High Flush"},
-  {"98642", "Nine-High Flush"},
-  {"98632", "Nine-High Flush"},
-  {"98543", "Nine-High Flush"},
-  {"98542", "Nine-High Flush"},
-  {"98532", "Nine-High Flush"},
-  {"98432", "Nine-High Flush"},
-  {"97654", "Nine-High Flush"},
-  {"97653", "Nine-High Flush"},
-  {"97652", "Nine-High Flush"},
-  {"97643", "Nine-High Flush"},
-  {"97642", "Nine-High Flush"},
-  {"97632", "Nine-High Flush"},
-  {"97543", "Nine-High Flush"},
-  {"97542", "Nine-High Flush"},
-  {"97532", "Nine-High Flush"},
-  {"97432", "Nine-High Flush"},
-  {"96543", "Nine-High Flush"},
-  {"96542", "Nine-High Flush"},
-  {"96532", "Nine-High Flush"},
-  {"96432", "Nine-High Flush"},
-  {"95432", "Nine-High Flush"},
-  {"87653", "Eight-High Flush"},
-  {"87652", "Eight-High Flush"},
-  {"87643", "Eight-High Flush"},
-  {"87642", "Eight-High Flush"},
-  {"87632", "Eight-High Flush"},
-  {"87543", "Eight-High Flush"},
-  {"87542", "Eight-High Flush"},
-  {"87532", "Eight-High Flush"},
-  {"87432", "Eight-High Flush"},
-  {"86543", "Eight-High Flush"},
-  {"86542", "Eight-High Flush"},
-  {"86532", "Eight-High Flush"},
-  {"86432", "Eight-High Flush"},
-  {"85432", "Eight-High Flush"},
-  {"76542", "Seven-High Flush"},
-  {"76532", "Seven-High Flush"},
-  {"76432", "Seven-High Flush"},
-  {"75432", "Seven-High Flush"},
-  {"AKQJT", "Ace-High Straight"},
-  {"KQJT9", "King-High Straight"},
-  {"QJT98", "Queen-High Straight"},
-  {"JT987", "Jack-High Straight"},
-  {"T9876", "Ten-High Straight"},
-  {"98765", "Nine-High Straight"},
-  {"87654", "Eight-High Straight"},
-  {"76543", "Seven-High Straight"},
-  {"65432", "Six-High Straight"},
-  {"5432A", "Five-High Straight"},
-  {"AAAKQ", "Three Aces"},
-  {"AAAKJ", "Three Aces"},
-  {"AAAKT", "Three Aces"},
-  {"AAAK9", "Three Aces"},
-  {"AAAK8", "Three Aces"},
-  {"AAAK7", "Three Aces"},
-  {"AAAK6", "Three Aces"},
-  {"AAAK5", "Three Aces"},
-  {"AAAK4", "Three Aces"},
-  {"AAAK3", "Three Aces"},
-  {"AAAK2", "Three Aces"},
-  {"AAAQJ", "Three Aces"},
-  {"AAAQT", "Three Aces"},
-  {"AAAQ9", "Three Aces"},
-  {"AAAQ8", "Three Aces"},
-  {"AAAQ7", "Three Aces"},
-  {"AAAQ6", "Three Aces"},
-  {"AAAQ5", "Three Aces"},
-  {"AAAQ4", "Three Aces"},
-  {"AAAQ3", "Three Aces"},
-  {"AAAQ2", "Three Aces"},
-  {"AAAJT", "Three Aces"},
-  {"AAAJ9", "Three Aces"},
-  {"AAAJ8", "Three Aces"},
-  {"AAAJ7", "Three Aces"},
-  {"AAAJ6", "Three Aces"},
-  {"AAAJ5", "Three Aces"},
-  {"AAAJ4", "Three Aces"},
-  {"AAAJ3", "Three Aces"},
-  {"AAAJ2", "Three Aces"},
-  {"AAAT9", "Three Aces"},
-  {"AAAT8", "Three Aces"},
-  {"AAAT7", "Three Aces"},
-  {"AAAT6", "Three Aces"},
-  {"AAAT5", "Three Aces"},
-  {"AAAT4", "Three Aces"},
-  {"AAAT3", "Three Aces"},
-  {"AAAT2", "Three Aces"},
-  {"AAA98", "Three Aces"},
-  {"AAA97", "Three Aces"},
-  {"AAA96", "Three Aces"},
-  {"AAA95", "Three Aces"},
-  {"AAA94", "Three Aces"},
-  {"AAA93", "Three Aces"},
-  {"AAA92", "Three Aces"},
-  {"AAA87", "Three Aces"},
-  {"AAA86", "Three Aces"},
-  {"AAA85", "Three Aces"},
-  {"AAA84", "Three Aces"},
-  {"AAA83", "Three Aces"},
-  {"AAA82", "Three Aces"},
-  {"AAA76", "Three Aces"},
-  {"AAA75", "Three Aces"},
-  {"AAA74", "Three Aces"},
-  {"AAA73", "Three Aces"},
-  {"AAA72", "Three Aces"},
-  {"AAA65", "Three Aces"},
-  {"AAA64", "Three Aces"},
-  {"AAA63", "Three Aces"},
-  {"AAA62", "Three Aces"},
-  {"AAA54", "Three Aces"},
-  {"AAA53", "Three Aces"},
-  {"AAA52", "Three Aces"},
-  {"AAA43", "Three Aces"},
-  {"AAA42", "Three Aces"},
-  {"AAA32", "Three Aces"},
-  {"KKKAQ", "Three Kings"},
-  {"KKKAJ", "Three Kings"},
-  {"KKKAT", "Three Kings"},
-  {"KKKA9", "Three Kings"},
-  {"KKKA8", "Three Kings"},
-  {"KKKA7", "Three Kings"},
-  {"KKKA6", "Three Kings"},
-  {"KKKA5", "Three Kings"},
-  {"KKKA4", "Three Kings"},
-  {"KKKA3", "Three Kings"},
-  {"KKKA2", "Three Kings"},
-  {"KKKQJ", "Three Kings"},
-  {"KKKQT", "Three Kings"},
-  {"KKKQ9", "Three Kings"},
-  {"KKKQ8", "Three Kings"},
-  {"KKKQ7", "Three Kings"},
-  {"KKKQ6", "Three Kings"},
-  {"KKKQ5", "Three Kings"},
-  {"KKKQ4", "Three Kings"},
-  {"KKKQ3", "Three Kings"},
-  {"KKKQ2", "Three Kings"},
-  {"KKKJT", "Three Kings"},
-  {"KKKJ9", "Three Kings"},
-  {"KKKJ8", "Three Kings"},
-  {"KKKJ7", "Three Kings"},
-  {"KKKJ6", "Three Kings"},
-  {"KKKJ5", "Three Kings"},
-  {"KKKJ4", "Three Kings"},
-  {"KKKJ3", "Three Kings"},
-  {"KKKJ2", "Three Kings"},
-  {"KKKT9", "Three Kings"},
-  {"KKKT8", "Three Kings"},
-  {"KKKT7", "Three Kings"},
-  {"KKKT6", "Three Kings"},
-  {"KKKT5", "Three Kings"},
-  {"KKKT4", "Three Kings"},
-  {"KKKT3", "Three Kings"},
-  {"KKKT2", "Three Kings"},
-  {"KKK98", "Three Kings"},
-  {"KKK97", "Three Kings"},
-  {"KKK96", "Three Kings"},
-  {"KKK95", "Three Kings"},
-  {"KKK94", "Three Kings"},
-  {"KKK93", "Three Kings"},
-  {"KKK92", "Three Kings"},
-  {"KKK87", "Three Kings"},
-  {"KKK86", "Three Kings"},
-  {"KKK85", "Three Kings"},
-  {"KKK84", "Three Kings"},
-  {"KKK83", "Three Kings"},
-  {"KKK82", "Three Kings"},
-  {"KKK76", "Three Kings"},
-  {"KKK75", "Three Kings"},
-  {"KKK74", "Three Kings"},
-  {"KKK73", "Three Kings"},
-  {"KKK72", "Three Kings"},
-  {"KKK65", "Three Kings"},
-  {"KKK64", "Three Kings"},
-  {"KKK63", "Three Kings"},
-  {"KKK62", "Three Kings"},
-  {"KKK54", "Three Kings"},
-  {"KKK53", "Three Kings"},
-  {"KKK52", "Three Kings"},
-  {"KKK43", "Three Kings"},
-  {"KKK42", "Three Kings"},
-  {"KKK32", "Three Kings"},
-  {"QQQAK", "Three Queens"},
-  {"QQQAJ", "Three Queens"},
-  {"QQQAT", "Three Queens"},
-  {"QQQA9", "Three Queens"},
-  {"QQQA8", "Three Queens"},
-  {"QQQA7", "Three Queens"},
-  {"QQQA6", "Three Queens"},
-  {"QQQA5", "Three Queens"},
-  {"QQQA4", "Three Queens"},
-  {"QQQA3", "Three Queens"},
-  {"QQQA2", "Three Queens"},
-  {"QQQKJ", "Three Queens"},
-  {"QQQKT", "Three Queens"},
-  {"QQQK9", "Three Queens"},
-  {"QQQK8", "Three Queens"},
-  {"QQQK7", "Three Queens"},
-  {"QQQK6", "Three Queens"},
-  {"QQQK5", "Three Queens"},
-  {"QQQK4", "Three Queens"},
-  {"QQQK3", "Three Queens"},
-  {"QQQK2", "Three Queens"},
-  {"QQQJT", "Three Queens"},
-  {"QQQJ9", "Three Queens"},
-  {"QQQJ8", "Three Queens"},
-  {"QQQJ7", "Three Queens"},
-  {"QQQJ6", "Three Queens"},
-  {"QQQJ5", "Three Queens"},
-  {"QQQJ4", "Three Queens"},
-  {"QQQJ3", "Three Queens"},
-  {"QQQJ2", "Three Queens"},
-  {"QQQT9", "Three Queens"},
-  {"QQQT8", "Three Queens"},
-  {"QQQT7", "Three Queens"},
-  {"QQQT6", "Three Queens"},
-  {"QQQT5", "Three Queens"},
-  {"QQQT4", "Three Queens"},
-  {"QQQT3", "Three Queens"},
-  {"QQQT2", "Three Queens"},
-  {"QQQ98", "Three Queens"},
-  {"QQQ97", "Three Queens"},
-  {"QQQ96", "Three Queens"},
-  {"QQQ95", "Three Queens"},
-  {"QQQ94", "Three Queens"},
-  {"QQQ93", "Three Queens"},
-  {"QQQ92", "Three Queens"},
-  {"QQQ87", "Three Queens"},
-  {"QQQ86", "Three Queens"},
-  {"QQQ85", "Three Queens"},
-  {"QQQ84", "Three Queens"},
-  {"QQQ83", "Three Queens"},
-  {"QQQ82", "Three Queens"},
-  {"QQQ76", "Three Queens"},
-  {"QQQ75", "Three Queens"},
-  {"QQQ74", "Three Queens"},
-  {"QQQ73", "Three Queens"},
-  {"QQQ72", "Three Queens"},
-  {"QQQ65", "Three Queens"},
-  {"QQQ64", "Three Queens"},
-  {"QQQ63", "Three Queens"},
-  {"QQQ62", "Three Queens"},
-  {"QQQ54", "Three Queens"},
-  {"QQQ53", "Three Queens"},
-  {"QQQ52", "Three Queens"},
-  {"QQQ43", "Three Queens"},
-  {"QQQ42", "Three Queens"},
-  {"QQQ32", "Three Queens"},
-  {"JJJAK", "Three Jacks"},
-  {"JJJAQ", "Three Jacks"},
-  {"JJJAT", "Three Jacks"},
-  {"JJJA9", "Three Jacks"},
-  {"JJJA8", "Three Jacks"},
-  {"JJJA7", "Three Jacks"},
-  {"JJJA6", "Three Jacks"},
-  {"JJJA5", "Three Jacks"},
-  {"JJJA4", "Three Jacks"},
-  {"JJJA3", "Three Jacks"},
-  {"JJJA2", "Three Jacks"},
-  {"JJJKQ", "Three Jacks"},
-  {"JJJKT", "Three Jacks"},
-  {"JJJK9", "Three Jacks"},
-  {"JJJK8", "Three Jacks"},
-  {"JJJK7", "Three Jacks"},
-  {"JJJK6", "Three Jacks"},
-  {"JJJK5", "Three Jacks"},
-  {"JJJK4", "Three Jacks"},
-  {"JJJK3", "Three Jacks"},
-  {"JJJK2", "Three Jacks"},
-  {"JJJQT", "Three Jacks"},
-  {"JJJQ9", "Three Jacks"},
-  {"JJJQ8", "Three Jacks"},
-  {"JJJQ7", "Three Jacks"},
-  {"JJJQ6", "Three Jacks"},
-  {"JJJQ5", "Three Jacks"},
-  {"JJJQ4", "Three Jacks"},
-  {"JJJQ3", "Three Jacks"},
-  {"JJJQ2", "Three Jacks"},
-  {"JJJT9", "Three Jacks"},
-  {"JJJT8", "Three Jacks"},
-  {"JJJT7", "Three Jacks"},
-  {"JJJT6", "Three Jacks"},
-  {"JJJT5", "Three Jacks"},
-  {"JJJT4", "Three Jacks"},
-  {"JJJT3", "Three Jacks"},
-  {"JJJT2", "Three Jacks"},
-  {"JJJ98", "Three Jacks"},
-  {"JJJ97", "Three Jacks"},
-  {"JJJ96", "Three Jacks"},
-  {"JJJ95", "Three Jacks"},
-  {"JJJ94", "Three Jacks"},
-  {"JJJ93", "Three Jacks"},
-  {"JJJ92", "Three Jacks"},
-  {"JJJ87", "Three Jacks"},
-  {"JJJ86", "Three Jacks"},
-  {"JJJ85", "Three Jacks"},
-  {"JJJ84", "Three Jacks"},
-  {"JJJ83", "Three Jacks"},
-  {"JJJ82", "Three Jacks"},
-  {"JJJ76", "Three Jacks"},
-  {"JJJ75", "Three Jacks"},
-  {"JJJ74", "Three Jacks"},
-  {"JJJ73", "Three Jacks"},
-  {"JJJ72", "Three Jacks"},
-  {"JJJ65", "Three Jacks"},
-  {"JJJ64", "Three Jacks"},
-  {"JJJ63", "Three Jacks"},
-  {"JJJ62", "Three Jacks"},
-  {"JJJ54", "Three Jacks"},
-  {"JJJ53", "Three Jacks"},
-  {"JJJ52", "Three Jacks"},
-  {"JJJ43", "Three Jacks"},
-  {"JJJ42", "Three Jacks"},
-  {"JJJ32", "Three Jacks"},
-  {"TTTAK", "Three Tens"},
-  {"TTTAQ", "Three Tens"},
-  {"TTTAJ", "Three Tens"},
-  {"TTTA9", "Three Tens"},
-  {"TTTA8", "Three Tens"},
-  {"TTTA7", "Three Tens"},
-  {"TTTA6", "Three Tens"},
-  {"TTTA5", "Three Tens"},
-  {"TTTA4", "Three Tens"},
-  {"TTTA3", "Three Tens"},
-  {"TTTA2", "Three Tens"},
-  {"TTTKQ", "Three Tens"},
-  {"TTTKJ", "Three Tens"},
-  {"TTTK9", "Three Tens"},
-  {"TTTK8", "Three Tens"},
-  {"TTTK7", "Three Tens"},
-  {"TTTK6", "Three Tens"},
-  {"TTTK5", "Three Tens"},
-  {"TTTK4", "Three Tens"},
-  {"TTTK3", "Three Tens"},
-  {"TTTK2", "Three Tens"},
-  {"TTTQJ", "Three Tens"},
-  {"TTTQ9", "Three Tens"},
-  {"TTTQ8", "Three Tens"},
-  {"TTTQ7", "Three Tens"},
-  {"TTTQ6", "Three Tens"},
-  {"TTTQ5", "Three Tens"},
-  {"TTTQ4", "Three Tens"},
-  {"TTTQ3", "Three Tens"},
-  {"TTTQ2", "Three Tens"},
-  {"TTTJ9", "Three Tens"},
-  {"TTTJ8", "Three Tens"},
-  {"TTTJ7", "Three Tens"},
-  {"TTTJ6", "Three Tens"},
-  {"TTTJ5", "Three Tens"},
-  {"TTTJ4", "Three Tens"},
-  {"TTTJ3", "Three Tens"},
-  {"TTTJ2", "Three Tens"},
-  {"TTT98", "Three Tens"},
-  {"TTT97", "Three Tens"},
-  {"TTT96", "Three Tens"},
-  {"TTT95", "Three Tens"},
-  {"TTT94", "Three Tens"},
-  {"TTT93", "Three Tens"},
-  {"TTT92", "Three Tens"},
-  {"TTT87", "Three Tens"},
-  {"TTT86", "Three Tens"},
-  {"TTT85", "Three Tens"},
-  {"TTT84", "Three Tens"},
-  {"TTT83", "Three Tens"},
-  {"TTT82", "Three Tens"},
-  {"TTT76", "Three Tens"},
-  {"TTT75", "Three Tens"},
-  {"TTT74", "Three Tens"},
-  {"TTT73", "Three Tens"},
-  {"TTT72", "Three Tens"},
-  {"TTT65", "Three Tens"},
-  {"TTT64", "Three Tens"},
-  {"TTT63", "Three Tens"},
-  {"TTT62", "Three Tens"},
-  {"TTT54", "Three Tens"},
-  {"TTT53", "Three Tens"},
-  {"TTT52", "Three Tens"},
-  {"TTT43", "Three Tens"},
-  {"TTT42", "Three Tens"},
-  {"TTT32", "Three Tens"},
-  {"999AK", "Three Nines"},
-  {"999AQ", "Three Nines"},
-  {"999AJ", "Three Nines"},
-  {"999AT", "Three Nines"},
-  {"999A8", "Three Nines"},
-  {"999A7", "Three Nines"},
-  {"999A6", "Three Nines"},
-  {"999A5", "Three Nines"},
-  {"999A4", "Three Nines"},
-  {"999A3", "Three Nines"},
-  {"999A2", "Three Nines"},
-  {"999KQ", "Three Nines"},
-  {"999KJ", "Three Nines"},
-  {"999KT", "Three Nines"},
-  {"999K8", "Three Nines"},
-  {"999K7", "Three Nines"},
-  {"999K6", "Three Nines"},
-  {"999K5", "Three Nines"},
-  {"999K4", "Three Nines"},
-  {"999K3", "Three Nines"},
-  {"999K2", "Three Nines"},
-  {"999QJ", "Three Nines"},
-  {"999QT", "Three Nines"},
-  {"999Q8", "Three Nines"},
-  {"999Q7", "Three Nines"},
-  {"999Q6", "Three Nines"},
-  {"999Q5", "Three Nines"},
-  {"999Q4", "Three Nines"},
-  {"999Q3", "Three Nines"},
-  {"999Q2", "Three Nines"},
-  {"999JT", "Three Nines"},
-  {"999J8", "Three Nines"},
-  {"999J7", "Three Nines"},
-  {"999J6", "Three Nines"},
-  {"999J5", "Three Nines"},
-  {"999J4", "Three Nines"},
-  {"999J3", "Three Nines"},
-  {"999J2", "Three Nines"},
-  {"999T8", "Three Nines"},
-  {"999T7", "Three Nines"},
-  {"999T6", "Three Nines"},
-  {"999T5", "Three Nines"},
-  {"999T4", "Three Nines"},
-  {"999T3", "Three Nines"},
-  {"999T2", "Three Nines"},
-  {"99987", "Three Nines"},
-  {"99986", "Three Nines"},
-  {"99985", "Three Nines"},
-  {"99984", "Three Nines"},
-  {"99983", "Three Nines"},
-  {"99982", "Three Nines"},
-  {"99976", "Three Nines"},
-  {"99975", "Three Nines"},
-  {"99974", "Three Nines"},
-  {"99973", "Three Nines"},
-  {"99972", "Three Nines"},
-  {"99965", "Three Nines"},
-  {"99964", "Three Nines"},
-  {"99963", "Three Nines"},
-  {"99962", "Three Nines"},
-  {"99954", "Three Nines"},
-  {"99953", "Three Nines"},
-  {"99952", "Three Nines"},
-  {"99943", "Three Nines"},
-  {"99942", "Three Nines"},
-  {"99932", "Three Nines"},
-  {"888AK", "Three Eights"},
-  {"888AQ", "Three Eights"},
-  {"888AJ", "Three Eights"},
-  {"888AT", "Three Eights"},
-  {"888A9", "Three Eights"},
-  {"888A7", "Three Eights"},
-  {"888A6", "Three Eights"},
-  {"888A5", "Three Eights"},
-  {"888A4", "Three Eights"},
-  {"888A3", "Three Eights"},
-  {"888A2", "Three Eights"},
-  {"888KQ", "Three Eights"},
-  {"888KJ", "Three Eights"},
-  {"888KT", "Three Eights"},
-  {"888K9", "Three Eights"},
-  {"888K7", "Three Eights"},
-  {"888K6", "Three Eights"},
-  {"888K5", "Three Eights"},
-  {"888K4", "Three Eights"},
-  {"888K3", "Three Eights"},
-  {"888K2", "Three Eights"},
-  {"888QJ", "Three Eights"},
-  {"888QT", "Three Eights"},
-  {"888Q9", "Three Eights"},
-  {"888Q7", "Three Eights"},
-  {"888Q6", "Three Eights"},
-  {"888Q5", "Three Eights"},
-  {"888Q4", "Three Eights"},
-  {"888Q3", "Three Eights"},
-  {"888Q2", "Three Eights"},
-  {"888JT", "Three Eights"},
-  {"888J9", "Three Eights"},
-  {"888J7", "Three Eights"},
-  {"888J6", "Three Eights"},
-  {"888J5", "Three Eights"},
-  {"888J4", "Three Eights"},
-  {"888J3", "Three Eights"},
-  {"888J2", "Three Eights"},
-  {"888T9", "Three Eights"},
-  {"888T7", "Three Eights"},
-  {"888T6", "Three Eights"},
-  {"888T5", "Three Eights"},
-  {"888T4", "Three Eights"},
-  {"888T3", "Three Eights"},
-  {"888T2", "Three Eights"},
-  {"88897", "Three Eights"},
-  {"88896", "Three Eights"},
-  {"88895", "Three Eights"},
-  {"88894", "Three Eights"},
-  {"88893", "Three Eights"},
-  {"88892", "Three Eights"},
-  {"88876", "Three Eights"},
-  {"88875", "Three Eights"},
-  {"88874", "Three Eights"},
-  {"88873", "Three Eights"},
-  {"88872", "Three Eights"},
-  {"88865", "Three Eights"},
-  {"88864", "Three Eights"},
-  {"88863", "Three Eights"},
-  {"88862", "Three Eights"},
-  {"88854", "Three Eights"},
-  {"88853", "Three Eights"},
-  {"88852", "Three Eights"},
-  {"88843", "Three Eights"},
-  {"88842", "Three Eights"},
-  {"88832", "Three Eights"},
-  {"777AK", "Three Sevens"},
-  {"777AQ", "Three Sevens"},
-  {"777AJ", "Three Sevens"},
-  {"777AT", "Three Sevens"},
-  {"777A9", "Three Sevens"},
-  {"777A8", "Three Sevens"},
-  {"777A6", "Three Sevens"},
-  {"777A5", "Three Sevens"},
-  {"777A4", "Three Sevens"},
-  {"777A3", "Three Sevens"},
-  {"777A2", "Three Sevens"},
-  {"777KQ", "Three Sevens"},
-  {"777KJ", "Three Sevens"},
-  {"777KT", "Three Sevens"},
-  {"777K9", "Three Sevens"},
-  {"777K8", "Three Sevens"},
-  {"777K6", "Three Sevens"},
-  {"777K5", "Three Sevens"},
-  {"777K4", "Three Sevens"},
-  {"777K3", "Three Sevens"},
-  {"777K2", "Three Sevens"},
-  {"777QJ", "Three Sevens"},
-  {"777QT", "Three Sevens"},
-  {"777Q9", "Three Sevens"},
-  {"777Q8", "Three Sevens"},
-  {"777Q6", "Three Sevens"},
-  {"777Q5", "Three Sevens"},
-  {"777Q4", "Three Sevens"},
-  {"777Q3", "Three Sevens"},
-  {"777Q2", "Three Sevens"},
-  {"777JT", "Three Sevens"},
-  {"777J9", "Three Sevens"},
-  {"777J8", "Three Sevens"},
-  {"777J6", "Three Sevens"},
-  {"777J5", "Three Sevens"},
-  {"777J4", "Three Sevens"},
-  {"777J3", "Three Sevens"},
-  {"777J2", "Three Sevens"},
-  {"777T9", "Three Sevens"},
-  {"777T8", "Three Sevens"},
-  {"777T6", "Three Sevens"},
-  {"777T5", "Three Sevens"},
-  {"777T4", "Three Sevens"},
-  {"777T3", "Three Sevens"},
-  {"777T2", "Three Sevens"},
-  {"77798", "Three Sevens"},
-  {"77796", "Three Sevens"},
-  {"77795", "Three Sevens"},
-  {"77794", "Three Sevens"},
-  {"77793", "Three Sevens"},
-  {"77792", "Three Sevens"},
-  {"77786", "Three Sevens"},
-  {"77785", "Three Sevens"},
-  {"77784", "Three Sevens"},
-  {"77783", "Three Sevens"},
-  {"77782", "Three Sevens"},
-  {"77765", "Three Sevens"},
-  {"77764", "Three Sevens"},
-  {"77763", "Three Sevens"},
-  {"77762", "Three Sevens"},
-  {"77754", "Three Sevens"},
-  {"77753", "Three Sevens"},
-  {"77752", "Three Sevens"},
-  {"77743", "Three Sevens"},
-  {"77742", "Three Sevens"},
-  {"77732", "Three Sevens"},
-  {"666AK", "Three Sixes"},
-  {"666AQ", "Three Sixes"},
-  {"666AJ", "Three Sixes"},
-  {"666AT", "Three Sixes"},
-  {"666A9", "Three Sixes"},
-  {"666A8", "Three Sixes"},
-  {"666A7", "Three Sixes"},
-  {"666A5", "Three Sixes"},
-  {"666A4", "Three Sixes"},
-  {"666A3", "Three Sixes"},
-  {"666A2", "Three Sixes"},
-  {"666KQ", "Three Sixes"},
-  {"666KJ", "Three Sixes"},
-  {"666KT", "Three Sixes"},
-  {"666K9", "Three Sixes"},
-  {"666K8", "Three Sixes"},
-  {"666K7", "Three Sixes"},
-  {"666K5", "Three Sixes"},
-  {"666K4", "Three Sixes"},
-  {"666K3", "Three Sixes"},
-  {"666K2", "Three Sixes"},
-  {"666QJ", "Three Sixes"},
-  {"666QT", "Three Sixes"},
-  {"666Q9", "Three Sixes"},
-  {"666Q8", "Three Sixes"},
-  {"666Q7", "Three Sixes"},
-  {"666Q5", "Three Sixes"},
-  {"666Q4", "Three Sixes"},
-  {"666Q3", "Three Sixes"},
-  {"666Q2", "Three Sixes"},
-  {"666JT", "Three Sixes"},
-  {"666J9", "Three Sixes"},
-  {"666J8", "Three Sixes"},
-  {"666J7", "Three Sixes"},
-  {"666J5", "Three Sixes"},
-  {"666J4", "Three Sixes"},
-  {"666J3", "Three Sixes"},
-  {"666J2", "Three Sixes"},
-  {"666T9", "Three Sixes"},
-  {"666T8", "Three Sixes"},
-  {"666T7", "Three Sixes"},
-  {"666T5", "Three Sixes"},
-  {"666T4", "Three Sixes"},
-  {"666T3", "Three Sixes"},
-  {"666T2", "Three Sixes"},
-  {"66698", "Three Sixes"},
-  {"66697", "Three Sixes"},
-  {"66695", "Three Sixes"},
-  {"66694", "Three Sixes"},
-  {"66693", "Three Sixes"},
-  {"66692", "Three Sixes"},
-  {"66687", "Three Sixes"},
-  {"66685", "Three Sixes"},
-  {"66684", "Three Sixes"},
-  {"66683", "Three Sixes"},
-  {"66682", "Three Sixes"},
-  {"66675", "Three Sixes"},
-  {"66674", "Three Sixes"},
-  {"66673", "Three Sixes"},
-  {"66672", "Three Sixes"},
-  {"66654", "Three Sixes"},
-  {"66653", "Three Sixes"},
-  {"66652", "Three Sixes"},
-  {"66643", "Three Sixes"},
-  {"66642", "Three Sixes"},
-  {"66632", "Three Sixes"},
-  {"555AK", "Three Fives"},
-  {"555AQ", "Three Fives"},
-  {"555AJ", "Three Fives"},
-  {"555AT", "Three Fives"},
-  {"555A9", "Three Fives"},
-  {"555A8", "Three Fives"},
-  {"555A7", "Three Fives"},
-  {"555A6", "Three Fives"},
-  {"555A4", "Three Fives"},
-  {"555A3", "Three Fives"},
-  {"555A2", "Three Fives"},
-  {"555KQ", "Three Fives"},
-  {"555KJ", "Three Fives"},
-  {"555KT", "Three Fives"},
-  {"555K9", "Three Fives"},
-  {"555K8", "Three Fives"},
-  {"555K7", "Three Fives"},
-  {"555K6", "Three Fives"},
-  {"555K4", "Three Fives"},
-  {"555K3", "Three Fives"},
-  {"555K2", "Three Fives"},
-  {"555QJ", "Three Fives"},
-  {"555QT", "Three Fives"},
-  {"555Q9", "Three Fives"},
-  {"555Q8", "Three Fives"},
-  {"555Q7", "Three Fives"},
-  {"555Q6", "Three Fives"},
-  {"555Q4", "Three Fives"},
-  {"555Q3", "Three Fives"},
-  {"555Q2", "Three Fives"},
-  {"555JT", "Three Fives"},
-  {"555J9", "Three Fives"},
-  {"555J8", "Three Fives"},
-  {"555J7", "Three Fives"},
-  {"555J6", "Three Fives"},
-  {"555J4", "Three Fives"},
-  {"555J3", "Three Fives"},
-  {"555J2", "Three Fives"},
-  {"555T9", "Three Fives"},
-  {"555T8", "Three Fives"},
-  {"555T7", "Three Fives"},
-  {"555T6", "Three Fives"},
-  {"555T4", "Three Fives"},
-  {"555T3", "Three Fives"},
-  {"555T2", "Three Fives"},
-  {"55598", "Three Fives"},
-  {"55597", "Three Fives"},
-  {"55596", "Three Fives"},
-  {"55594", "Three Fives"},
-  {"55593", "Three Fives"},
-  {"55592", "Three Fives"},
-  {"55587", "Three Fives"},
-  {"55586", "Three Fives"},
-  {"55584", "Three Fives"},
-  {"55583", "Three Fives"},
-  {"55582", "Three Fives"},
-  {"55576", "Three Fives"},
-  {"55574", "Three Fives"},
-  {"55573", "Three Fives"},
-  {"55572", "Three Fives"},
-  {"55564", "Three Fives"},
-  {"55563", "Three Fives"},
-  {"55562", "Three Fives"},
-  {"55543", "Three Fives"},
-  {"55542", "Three Fives"},
-  {"55532", "Three Fives"},
-  {"444AK", "Three Fours"},
-  {"444AQ", "Three Fours"},
-  {"444AJ", "Three Fours"},
-  {"444AT", "Three Fours"},
-  {"444A9", "Three Fours"},
-  {"444A8", "Three Fours"},
-  {"444A7", "Three Fours"},
-  {"444A6", "Three Fours"},
-  {"444A5", "Three Fours"},
-  {"444A3", "Three Fours"},
-  {"444A2", "Three Fours"},
-  {"444KQ", "Three Fours"},
-  {"444KJ", "Three Fours"},
-  {"444KT", "Three Fours"},
-  {"444K9", "Three Fours"},
-  {"444K8", "Three Fours"},
-  {"444K7", "Three Fours"},
-  {"444K6", "Three Fours"},
-  {"444K5", "Three Fours"},
-  {"444K3", "Three Fours"},
-  {"444K2", "Three Fours"},
-  {"444QJ", "Three Fours"},
-  {"444QT", "Three Fours"},
-  {"444Q9", "Three Fours"},
-  {"444Q8", "Three Fours"},
-  {"444Q7", "Three Fours"},
-  {"444Q6", "Three Fours"},
-  {"444Q5", "Three Fours"},
-  {"444Q3", "Three Fours"},
-  {"444Q2", "Three Fours"},
-  {"444JT", "Three Fours"},
-  {"444J9", "Three Fours"},
-  {"444J8", "Three Fours"},
-  {"444J7", "Three Fours"},
-  {"444J6", "Three Fours"},
-  {"444J5", "Three Fours"},
-  {"444J3", "Three Fours"},
-  {"444J2", "Three Fours"},
-  {"444T9", "Three Fours"},
-  {"444T8", "Three Fours"},
-  {"444T7", "Three Fours"},
-  {"444T6", "Three Fours"},
-  {"444T5", "Three Fours"},
-  {"444T3", "Three Fours"},
-  {"444T2", "Three Fours"},
-  {"44498", "Three Fours"},
-  {"44497", "Three Fours"},
-  {"44496", "Three Fours"},
-  {"44495", "Three Fours"},
-  {"44493", "Three Fours"},
-  {"44492", "Three Fours"},
-  {"44487", "Three Fours"},
-  {"44486", "Three Fours"},
-  {"44485", "Three Fours"},
-  {"44483", "Three Fours"},
-  {"44482", "Three Fours"},
-  {"44476", "Three Fours"},
-  {"44475", "Three Fours"},
-  {"44473", "Three Fours"},
-  {"44472", "Three Fours"},
-  {"44465", "Three Fours"},
-  {"44463", "Three Fours"},
-  {"44462", "Three Fours"},
-  {"44453", "Three Fours"},
-  {"44452", "Three Fours"},
-  {"44432", "Three Fours"},
-  {"333AK", "Three Treys"},
-  {"333AQ", "Three Treys"},
-  {"333AJ", "Three Treys"},
-  {"333AT", "Three Treys"},
-  {"333A9", "Three Treys"},
-  {"333A8", "Three Treys"},
-  {"333A7", "Three Treys"},
-  {"333A6", "Three Treys"},
-  {"333A5", "Three Treys"},
-  {"333A4", "Three Treys"},
-  {"333A2", "Three Treys"},
-  {"333KQ", "Three Treys"},
-  {"333KJ", "Three Treys"},
-  {"333KT", "Three Treys"},
-  {"333K9", "Three Treys"},
-  {"333K8", "Three Treys"},
-  {"333K7", "Three Treys"},
-  {"333K6", "Three Treys"},
-  {"333K5", "Three Treys"},
-  {"333K4", "Three Treys"},
-  {"333K2", "Three Treys"},
-  {"333QJ", "Three Treys"},
-  {"333QT", "Three Treys"},
-  {"333Q9", "Three Treys"},
-  {"333Q8", "Three Treys"},
-  {"333Q7", "Three Treys"},
-  {"333Q6", "Three Treys"},
-  {"333Q5", "Three Treys"},
-  {"333Q4", "Three Treys"},
-  {"333Q2", "Three Treys"},
-  {"333JT", "Three Treys"},
-  {"333J9", "Three Treys"},
-  {"333J8", "Three Treys"},
-  {"333J7", "Three Treys"},
-  {"333J6", "Three Treys"},
-  {"333J5", "Three Treys"},
-  {"333J4", "Three Treys"},
-  {"333J2", "Three Treys"},
-  {"333T9", "Three Treys"},
-  {"333T8", "Three Treys"},
-  {"333T7", "Three Treys"},
-  {"333T6", "Three Treys"},
-  {"333T5", "Three Treys"},
-  {"333T4", "Three Treys"},
-  {"333T2", "Three Treys"},
-  {"33398", "Three Treys"},
-  {"33397", "Three Treys"},
-  {"33396", "Three Treys"},
-  {"33395", "Three Treys"},
-  {"33394", "Three Treys"},
-  {"33392", "Three Treys"},
-  {"33387", "Three Treys"},
-  {"33386", "Three Treys"},
-  {"33385", "Three Treys"},
-  {"33384", "Three Treys"},
-  {"33382", "Three Treys"},
-  {"33376", "Three Treys"},
-  {"33375", "Three Treys"},
-  {"33374", "Three Treys"},
-  {"33372", "Three Treys"},
-  {"33365", "Three Treys"},
-  {"33364", "Three Treys"},
-  {"33362", "Three Treys"},
-  {"33354", "Three Treys"},
-  {"33352", "Three Treys"},
-  {"33342", "Three Treys"},
-  {"222AK", "Three Deuces"},
-  {"222AQ", "Three Deuces"},
-  {"222AJ", "Three Deuces"},
-  {"222AT", "Three Deuces"},
-  {"222A9", "Three Deuces"},
-  {"222A8", "Three Deuces"},
-  {"222A7", "Three Deuces"},
-  {"222A6", "Three Deuces"},
-  {"222A5", "Three Deuces"},
-  {"222A4", "Three Deuces"},
-  {"222A3", "Three Deuces"},
-  {"222KQ", "Three Deuces"},
-  {"222KJ", "Three Deuces"},
-  {"222KT", "Three Deuces"},
-  {"222K9", "Three Deuces"},
-  {"222K8", "Three Deuces"},
-  {"222K7", "Three Deuces"},
-  {"222K6", "Three Deuces"},
-  {"222K5", "Three Deuces"},
-  {"222K4", "Three Deuces"},
-  {"222K3", "Three Deuces"},
-  {"222QJ", "Three Deuces"},
-  {"222QT", "Three Deuces"},
-  {"222Q9", "Three Deuces"},
-  {"222Q8", "Three Deuces"},
-  {"222Q7", "Three Deuces"},
-  {"222Q6", "Three Deuces"},
-  {"222Q5", "Three Deuces"},
-  {"222Q4", "Three Deuces"},
-  {"222Q3", "Three Deuces"},
-  {"222JT", "Three Deuces"},
-  {"222J9", "Three Deuces"},
-  {"222J8", "Three Deuces"},
-  {"222J7", "Three Deuces"},
-  {"222J6", "Three Deuces"},
-  {"222J5", "Three Deuces"},
-  {"222J4", "Three Deuces"},
-  {"222J3", "Three Deuces"},
-  {"222T9", "Three Deuces"},
-  {"222T8", "Three Deuces"},
-  {"222T7", "Three Deuces"},
-  {"222T6", "Three Deuces"},
-  {"222T5", "Three Deuces"},
-  {"222T4", "Three Deuces"},
-  {"222T3", "Three Deuces"},
-  {"22298", "Three Deuces"},
-  {"22297", "Three Deuces"},
-  {"22296", "Three Deuces"},
-  {"22295", "Three Deuces"},
-  {"22294", "Three Deuces"},
-  {"22293", "Three Deuces"},
-  {"22287", "Three Deuces"},
-  {"22286", "Three Deuces"},
-  {"22285", "Three Deuces"},
-  {"22284", "Three Deuces"},
-  {"22283", "Three Deuces"},
-  {"22276", "Three Deuces"},
-  {"22275", "Three Deuces"},
-  {"22274", "Three Deuces"},
-  {"22273", "Three Deuces"},
-  {"22265", "Three Deuces"},
-  {"22264", "Three Deuces"},
-  {"22263", "Three Deuces"},
-  {"22254", "Three Deuces"},
-  {"22253", "Three Deuces"},
-  {"22243", "Three Deuces"},
-  {"AAKKQ", "Aces and Kings"},
-  {"AAKKJ", "Aces and Kings"},
-  {"AAKKT", "Aces and Kings"},
-  {"AAKK9", "Aces and Kings"},
-  {"AAKK8", "Aces and Kings"},
-  {"AAKK7", "Aces and Kings"},
-  {"AAKK6", "Aces and Kings"},
-  {"AAKK5", "Aces and Kings"},
-  {"AAKK4", "Aces and Kings"},
-  {"AAKK3", "Aces and Kings"},
-  {"AAKK2", "Aces and Kings"},
-  {"AAQQK", "Aces and Queens"},
-  {"AAQQJ", "Aces and Queens"},
-  {"AAQQT", "Aces and Queens"},
-  {"AAQQ9", "Aces and Queens"},
-  {"AAQQ8", "Aces and Queens"},
-  {"AAQQ7", "Aces and Queens"},
-  {"AAQQ6", "Aces and Queens"},
-  {"AAQQ5", "Aces and Queens"},
-  {"AAQQ4", "Aces and Queens"},
-  {"AAQQ3", "Aces and Queens"},
-  {"AAQQ2", "Aces and Queens"},
-  {"AAJJK", "Aces and Jacks"},
-  {"AAJJQ", "Aces and Jacks"},
-  {"AAJJT", "Aces and Jacks"},
-  {"AAJJ9", "Aces and Jacks"},
-  {"AAJJ8", "Aces and Jacks"},
-  {"AAJJ7", "Aces and Jacks"},
-  {"AAJJ6", "Aces and Jacks"},
-  {"AAJJ5", "Aces and Jacks"},
-  {"AAJJ4", "Aces and Jacks"},
-  {"AAJJ3", "Aces and Jacks"},
-  {"AAJJ2", "Aces and Jacks"},
-  {"AATTK", "Aces and Tens"},
-  {"AATTQ", "Aces and Tens"},
-  {"AATTJ", "Aces and Tens"},
-  {"AATT9", "Aces and Tens"},
-  {"AATT8", "Aces and Tens"},
-  {"AATT7", "Aces and Tens"},
-  {"AATT6", "Aces and Tens"},
-  {"AATT5", "Aces and Tens"},
-  {"AATT4", "Aces and Tens"},
-  {"AATT3", "Aces and Tens"},
-  {"AATT2", "Aces and Tens"},
-  {"AA99K", "Aces and Nines"},
-  {"AA99Q", "Aces and Nines"},
-  {"AA99J", "Aces and Nines"},
-  {"AA99T", "Aces and Nines"},
-  {"AA998", "Aces and Nines"},
-  {"AA997", "Aces and Nines"},
-  {"AA996", "Aces and Nines"},
-  {"AA995", "Aces and Nines"},
-  {"AA994", "Aces and Nines"},
-  {"AA993", "Aces and Nines"},
-  {"AA992", "Aces and Nines"},
-  {"AA88K", "Aces and Eights"},
-  {"AA88Q", "Aces and Eights"},
-  {"AA88J", "Aces and Eights"},
-  {"AA88T", "Aces and Eights"},
-  {"AA889", "Aces and Eights"},
-  {"AA887", "Aces and Eights"},
-  {"AA886", "Aces and Eights"},
-  {"AA885", "Aces and Eights"},
-  {"AA884", "Aces and Eights"},
-  {"AA883", "Aces and Eights"},
-  {"AA882", "Aces and Eights"},
-  {"AA77K", "Aces and Sevens"},
-  {"AA77Q", "Aces and Sevens"},
-  {"AA77J", "Aces and Sevens"},
-  {"AA77T", "Aces and Sevens"},
-  {"AA779", "Aces and Sevens"},
-  {"AA778", "Aces and Sevens"},
-  {"AA776", "Aces and Sevens"},
-  {"AA775", "Aces and Sevens"},
-  {"AA774", "Aces and Sevens"},
-  {"AA773", "Aces and Sevens"},
-  {"AA772", "Aces and Sevens"},
-  {"AA66K", "Aces and Sixes"},
-  {"AA66Q", "Aces and Sixes"},
-  {"AA66J", "Aces and Sixes"},
-  {"AA66T", "Aces and Sixes"},
-  {"AA669", "Aces and Sixes"},
-  {"AA668", "Aces and Sixes"},
-  {"AA667", "Aces and Sixes"},
-  {"AA665", "Aces and Sixes"},
-  {"AA664", "Aces and Sixes"},
-  {"AA663", "Aces and Sixes"},
-  {"AA662", "Aces and Sixes"},
-  {"AA55K", "Aces and Fives"},
-  {"AA55Q", "Aces and Fives"},
-  {"AA55J", "Aces and Fives"},
-  {"AA55T", "Aces and Fives"},
-  {"AA559", "Aces and Fives"},
-  {"AA558", "Aces and Fives"},
-  {"AA557", "Aces and Fives"},
-  {"AA556", "Aces and Fives"},
-  {"AA554", "Aces and Fives"},
-  {"AA553", "Aces and Fives"},
-  {"AA552", "Aces and Fives"},
-  {"AA44K", "Aces and Fours"},
-  {"AA44Q", "Aces and Fours"},
-  {"AA44J", "Aces and Fours"},
-  {"AA44T", "Aces and Fours"},
-  {"AA449", "Aces and Fours"},
-  {"AA448", "Aces and Fours"},
-  {"AA447", "Aces and Fours"},
-  {"AA446", "Aces and Fours"},
-  {"AA445", "Aces and Fours"},
-  {"AA443", "Aces and Fours"},
-  {"AA442", "Aces and Fours"},
-  {"AA33K", "Aces and Treys"},
-  {"AA33Q", "Aces and Treys"},
-  {"AA33J", "Aces and Treys"},
-  {"AA33T", "Aces and Treys"},
-  {"AA339", "Aces and Treys"},
-  {"AA338", "Aces and Treys"},
-  {"AA337", "Aces and Treys"},
-  {"AA336", "Aces and Treys"},
-  {"AA335", "Aces and Treys"},
-  {"AA334", "Aces and Treys"},
-  {"AA332", "Aces and Treys"},
-  {"AA22K", "Aces and Deuces"},
-  {"AA22Q", "Aces and Deuces"},
-  {"AA22J", "Aces and Deuces"},
-  {"AA22T", "Aces and Deuces"},
-  {"AA229", "Aces and Deuces"},
-  {"AA228", "Aces and Deuces"},
-  {"AA227", "Aces and Deuces"},
-  {"AA226", "Aces and Deuces"},
-  {"AA225", "Aces and Deuces"},
-  {"AA224", "Aces and Deuces"},
-  {"AA223", "Aces and Deuces"},
-  {"KKQQA", "Kings and Queens"},
-  {"KKQQJ", "Kings and Queens"},
-  {"KKQQT", "Kings and Queens"},
-  {"KKQQ9", "Kings and Queens"},
-  {"KKQQ8", "Kings and Queens"},
-  {"KKQQ7", "Kings and Queens"},
-  {"KKQQ6", "Kings and Queens"},
-  {"KKQQ5", "Kings and Queens"},
-  {"KKQQ4", "Kings and Queens"},
-  {"KKQQ3", "Kings and Queens"},
-  {"KKQQ2", "Kings and Queens"},
-  {"KKJJA", "Kings and Jacks"},
-  {"KKJJQ", "Kings and Jacks"},
-  {"KKJJT", "Kings and Jacks"},
-  {"KKJJ9", "Kings and Jacks"},
-  {"KKJJ8", "Kings and Jacks"},
-  {"KKJJ7", "Kings and Jacks"},
-  {"KKJJ6", "Kings and Jacks"},
-  {"KKJJ5", "Kings and Jacks"},
-  {"KKJJ4", "Kings and Jacks"},
-  {"KKJJ3", "Kings and Jacks"},
-  {"KKJJ2", "Kings and Jacks"},
-  {"KKTTA", "Kings and Tens"},
-  {"KKTTQ", "Kings and Tens"},
-  {"KKTTJ", "Kings and Tens"},
-  {"KKTT9", "Kings and Tens"},
-  {"KKTT8", "Kings and Tens"},
-  {"KKTT7", "Kings and Tens"},
-  {"KKTT6", "Kings and Tens"},
-  {"KKTT5", "Kings and Tens"},
-  {"KKTT4", "Kings and Tens"},
-  {"KKTT3", "Kings and Tens"},
-  {"KKTT2", "Kings and Tens"},
-  {"KK99A", "Kings and Nines"},
-  {"KK99Q", "Kings and Nines"},
-  {"KK99J", "Kings and Nines"},
-  {"KK99T", "Kings and Nines"},
-  {"KK998", "Kings and Nines"},
-  {"KK997", "Kings and Nines"},
-  {"KK996", "Kings and Nines"},
-  {"KK995", "Kings and Nines"},
-  {"KK994", "Kings and Nines"},
-  {"KK993", "Kings and Nines"},
-  {"KK992", "Kings and Nines"},
-  {"KK88A", "Kings and Eights"},
-  {"KK88Q", "Kings and Eights"},
-  {"KK88J", "Kings and Eights"},
-  {"KK88T", "Kings and Eights"},
-  {"KK889", "Kings and Eights"},
-  {"KK887", "Kings and Eights"},
-  {"KK886", "Kings and Eights"},
-  {"KK885", "Kings and Eights"},
-  {"KK884", "Kings and Eights"},
-  {"KK883", "Kings and Eights"},
-  {"KK882", "Kings and Eights"},
-  {"KK77A", "Kings and Sevens"},
-  {"KK77Q", "Kings and Sevens"},
-  {"KK77J", "Kings and Sevens"},
-  {"KK77T", "Kings and Sevens"},
-  {"KK779", "Kings and Sevens"},
-  {"KK778", "Kings and Sevens"},
-  {"KK776", "Kings and Sevens"},
-  {"KK775", "Kings and Sevens"},
-  {"KK774", "Kings and Sevens"},
-  {"KK773", "Kings and Sevens"},
-  {"KK772", "Kings and Sevens"},
-  {"KK66A", "Kings and Sixes"},
-  {"KK66Q", "Kings and Sixes"},
-  {"KK66J", "Kings and Sixes"},
-  {"KK66T", "Kings and Sixes"},
-  {"KK669", "Kings and Sixes"},
-  {"KK668", "Kings and Sixes"},
-  {"KK667", "Kings and Sixes"},
-  {"KK665", "Kings and Sixes"},
-  {"KK664", "Kings and Sixes"},
-  {"KK663", "Kings and Sixes"},
-  {"KK662", "Kings and Sixes"},
-  {"KK55A", "Kings and Fives"},
-  {"KK55Q", "Kings and Fives"},
-  {"KK55J", "Kings and Fives"},
-  {"KK55T", "Kings and Fives"},
-  {"KK559", "Kings and Fives"},
-  {"KK558", "Kings and Fives"},
-  {"KK557", "Kings and Fives"},
-  {"KK556", "Kings and Fives"},
-  {"KK554", "Kings and Fives"},
-  {"KK553", "Kings and Fives"},
-  {"KK552", "Kings and Fives"},
-  {"KK44A", "Kings and Fours"},
-  {"KK44Q", "Kings and Fours"},
-  {"KK44J", "Kings and Fours"},
-  {"KK44T", "Kings and Fours"},
-  {"KK449", "Kings and Fours"},
-  {"KK448", "Kings and Fours"},
-  {"KK447", "Kings and Fours"},
-  {"KK446", "Kings and Fours"},
-  {"KK445", "Kings and Fours"},
-  {"KK443", "Kings and Fours"},
-  {"KK442", "Kings and Fours"},
-  {"KK33A", "Kings and Treys"},
-  {"KK33Q", "Kings and Treys"},
-  {"KK33J", "Kings and Treys"},
-  {"KK33T", "Kings and Treys"},
-  {"KK339", "Kings and Treys"},
-  {"KK338", "Kings and Treys"},
-  {"KK337", "Kings and Treys"},
-  {"KK336", "Kings and Treys"},
-  {"KK335", "Kings and Treys"},
-  {"KK334", "Kings and Treys"},
-  {"KK332", "Kings and Treys"},
-  {"KK22A", "Kings and Deuces"},
-  {"KK22Q", "Kings and Deuces"},
-  {"KK22J", "Kings and Deuces"},
-  {"KK22T", "Kings and Deuces"},
-  {"KK229", "Kings and Deuces"},
-  {"KK228", "Kings and Deuces"},
-  {"KK227", "Kings and Deuces"},
-  {"KK226", "Kings and Deuces"},
-  {"KK225", "Kings and Deuces"},
-  {"KK224", "Kings and Deuces"},
-  {"KK223", "Kings and Deuces"},
-  {"QQJJA", "Queens and Jacks"},
-  {"QQJJK", "Queens and Jacks"},
-  {"QQJJT", "Queens and Jacks"},
-  {"QQJJ9", "Queens and Jacks"},
-  {"QQJJ8", "Queens and Jacks"},
-  {"QQJJ7", "Queens and Jacks"},
-  {"QQJJ6", "Queens and Jacks"},
-  {"QQJJ5", "Queens and Jacks"},
-  {"QQJJ4", "Queens and Jacks"},
-  {"QQJJ3", "Queens and Jacks"},
-  {"QQJJ2", "Queens and Jacks"},
-  {"QQTTA", "Queens and Tens"},
-  {"QQTTK", "Queens and Tens"},
-  {"QQTTJ", "Queens and Tens"},
-  {"QQTT9", "Queens and Tens"},
-  {"QQTT8", "Queens and Tens"},
-  {"QQTT7", "Queens and Tens"},
-  {"QQTT6", "Queens and Tens"},
-  {"QQTT5", "Queens and Tens"},
-  {"QQTT4", "Queens and Tens"},
-  {"QQTT3", "Queens and Tens"},
-  {"QQTT2", "Queens and Tens"},
-  {"QQ99A", "Queens and Nines"},
-  {"QQ99K", "Queens and Nines"},
-  {"QQ99J", "Queens and Nines"},
-  {"QQ99T", "Queens and Nines"},
-  {"QQ998", "Queens and Nines"},
-  {"QQ997", "Queens and Nines"},
-  {"QQ996", "Queens and Nines"},
-  {"QQ995", "Queens and Nines"},
-  {"QQ994", "Queens and Nines"},
-  {"QQ993", "Queens and Nines"},
-  {"QQ992", "Queens and Nines"},
-  {"QQ88A", "Queens and Eights"},
-  {"QQ88K", "Queens and Eights"},
-  {"QQ88J", "Queens and Eights"},
-  {"QQ88T", "Queens and Eights"},
-  {"QQ889", "Queens and Eights"},
-  {"QQ887", "Queens and Eights"},
-  {"QQ886", "Queens and Eights"},
-  {"QQ885", "Queens and Eights"},
-  {"QQ884", "Queens and Eights"},
-  {"QQ883", "Queens and Eights"},
-  {"QQ882", "Queens and Eights"},
-  {"QQ77A", "Queens and Sevens"},
-  {"QQ77K", "Queens and Sevens"},
-  {"QQ77J", "Queens and Sevens"},
-  {"QQ77T", "Queens and Sevens"},
-  {"QQ779", "Queens and Sevens"},
-  {"QQ778", "Queens and Sevens"},
-  {"QQ776", "Queens and Sevens"},
-  {"QQ775", "Queens and Sevens"},
-  {"QQ774", "Queens and Sevens"},
-  {"QQ773", "Queens and Sevens"},
-  {"QQ772", "Queens and Sevens"},
-  {"QQ66A", "Queens and Sixes"},
-  {"QQ66K", "Queens and Sixes"},
-  {"QQ66J", "Queens and Sixes"},
-  {"QQ66T", "Queens and Sixes"},
-  {"QQ669", "Queens and Sixes"},
-  {"QQ668", "Queens and Sixes"},
-  {"QQ667", "Queens and Sixes"},
-  {"QQ665", "Queens and Sixes"},
-  {"QQ664", "Queens and Sixes"},
-  {"QQ663", "Queens and Sixes"},
-  {"QQ662", "Queens and Sixes"},
-  {"QQ55A", "Queens and Fives"},
-  {"QQ55K", "Queens and Fives"},
-  {"QQ55J", "Queens and Fives"},
-  {"QQ55T", "Queens and Fives"},
-  {"QQ559", "Queens and Fives"},
-  {"QQ558", "Queens and Fives"},
-  {"QQ557", "Queens and Fives"},
-  {"QQ556", "Queens and Fives"},
-  {"QQ554", "Queens and Fives"},
-  {"QQ553", "Queens and Fives"},
-  {"QQ552", "Queens and Fives"},
-  {"QQ44A", "Queens and Fours"},
-  {"QQ44K", "Queens and Fours"},
-  {"QQ44J", "Queens and Fours"},
-  {"QQ44T", "Queens and Fours"},
-  {"QQ449", "Queens and Fours"},
-  {"QQ448", "Queens and Fours"},
-  {"QQ447", "Queens and Fours"},
-  {"QQ446", "Queens and Fours"},
-  {"QQ445", "Queens and Fours"},
-  {"QQ443", "Queens and Fours"},
-  {"QQ442", "Queens and Fours"},
-  {"QQ33A", "Queens and Treys"},
-  {"QQ33K", "Queens and Treys"},
-  {"QQ33J", "Queens and Treys"},
-  {"QQ33T", "Queens and Treys"},
-  {"QQ339", "Queens and Treys"},
-  {"QQ338", "Queens and Treys"},
-  {"QQ337", "Queens and Treys"},
-  {"QQ336", "Queens and Treys"},
-  {"QQ335", "Queens and Treys"},
-  {"QQ334", "Queens and Treys"},
-  {"QQ332", "Queens and Treys"},
-  {"QQ22A", "Queens and Deuces"},
-  {"QQ22K", "Queens and Deuces"},
-  {"QQ22J", "Queens and Deuces"},
-  {"QQ22T", "Queens and Deuces"},
-  {"QQ229", "Queens and Deuces"},
-  {"QQ228", "Queens and Deuces"},
-  {"QQ227", "Queens and Deuces"},
-  {"QQ226", "Queens and Deuces"},
-  {"QQ225", "Queens and Deuces"},
-  {"QQ224", "Queens and Deuces"},
-  {"QQ223", "Queens and Deuces"},
-  {"JJTTA", "Jacks and Tens"},
-  {"JJTTK", "Jacks and Tens"},
-  {"JJTTQ", "Jacks and Tens"},
-  {"JJTT9", "Jacks and Tens"},
-  {"JJTT8", "Jacks and Tens"},
-  {"JJTT7", "Jacks and Tens"},
-  {"JJTT6", "Jacks and Tens"},
-  {"JJTT5", "Jacks and Tens"},
-  {"JJTT4", "Jacks and Tens"},
-  {"JJTT3", "Jacks and Tens"},
-  {"JJTT2", "Jacks and Tens"},
-  {"JJ99A", "Jacks and Nines"},
-  {"JJ99K", "Jacks and Nines"},
-  {"JJ99Q", "Jacks and Nines"},
-  {"JJ99T", "Jacks and Nines"},
-  {"JJ998", "Jacks and Nines"},
-  {"JJ997", "Jacks and Nines"},
-  {"JJ996", "Jacks and Nines"},
-  {"JJ995", "Jacks and Nines"},
-  {"JJ994", "Jacks and Nines"},
-  {"JJ993", "Jacks and Nines"},
-  {"JJ992", "Jacks and Nines"},
-  {"JJ88A", "Jacks and Eights"},
-  {"JJ88K", "Jacks and Eights"},
-  {"JJ88Q", "Jacks and Eights"},
-  {"JJ88T", "Jacks and Eights"},
-  {"JJ889", "Jacks and Eights"},
-  {"JJ887", "Jacks and Eights"},
-  {"JJ886", "Jacks and Eights"},
-  {"JJ885", "Jacks and Eights"},
-  {"JJ884", "Jacks and Eights"},
-  {"JJ883", "Jacks and Eights"},
-  {"JJ882", "Jacks and Eights"},
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-  {"JJ77K", "Jacks and Sevens"},
-  {"JJ77Q", "Jacks and Sevens"},
-  {"JJ77T", "Jacks and Sevens"},
-  {"JJ779", "Jacks and Sevens"},
-  {"JJ778", "Jacks and Sevens"},
-  {"JJ776", "Jacks and Sevens"},
-  {"JJ775", "Jacks and Sevens"},
-  {"JJ774", "Jacks and Sevens"},
-  {"JJ773", "Jacks and Sevens"},
-  {"JJ772", "Jacks and Sevens"},
-  {"JJ66A", "Jacks and Sixes"},
-  {"JJ66K", "Jacks and Sixes"},
-  {"JJ66Q", "Jacks and Sixes"},
-  {"JJ66T", "Jacks and Sixes"},
-  {"JJ669", "Jacks and Sixes"},
-  {"JJ668", "Jacks and Sixes"},
-  {"JJ667", "Jacks and Sixes"},
-  {"JJ665", "Jacks and Sixes"},
-  {"JJ664", "Jacks and Sixes"},
-  {"JJ663", "Jacks and Sixes"},
-  {"JJ662", "Jacks and Sixes"},
-  {"JJ55A", "Jacks and Fives"},
-  {"JJ55K", "Jacks and Fives"},
-  {"JJ55Q", "Jacks and Fives"},
-  {"JJ55T", "Jacks and Fives"},
-  {"JJ559", "Jacks and Fives"},
-  {"JJ558", "Jacks and Fives"},
-  {"JJ557", "Jacks and Fives"},
-  {"JJ556", "Jacks and Fives"},
-  {"JJ554", "Jacks and Fives"},
-  {"JJ553", "Jacks and Fives"},
-  {"JJ552", "Jacks and Fives"},
-  {"JJ44A", "Jacks and Fours"},
-  {"JJ44K", "Jacks and Fours"},
-  {"JJ44Q", "Jacks and Fours"},
-  {"JJ44T", "Jacks and Fours"},
-  {"JJ449", "Jacks and Fours"},
-  {"JJ448", "Jacks and Fours"},
-  {"JJ447", "Jacks and Fours"},
-  {"JJ446", "Jacks and Fours"},
-  {"JJ445", "Jacks and Fours"},
-  {"JJ443", "Jacks and Fours"},
-  {"JJ442", "Jacks and Fours"},
-  {"JJ33A", "Jacks and Treys"},
-  {"JJ33K", "Jacks and Treys"},
-  {"JJ33Q", "Jacks and Treys"},
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-  {"JJ339", "Jacks and Treys"},
-  {"JJ338", "Jacks and Treys"},
-  {"JJ337", "Jacks and Treys"},
-  {"JJ336", "Jacks and Treys"},
-  {"JJ335", "Jacks and Treys"},
-  {"JJ334", "Jacks and Treys"},
-  {"JJ332", "Jacks and Treys"},
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-  {"JJ22K", "Jacks and Deuces"},
-  {"JJ22Q", "Jacks and Deuces"},
-  {"JJ22T", "Jacks and Deuces"},
-  {"JJ229", "Jacks and Deuces"},
-  {"JJ228", "Jacks and Deuces"},
-  {"JJ227", "Jacks and Deuces"},
-  {"JJ226", "Jacks and Deuces"},
-  {"JJ225", "Jacks and Deuces"},
-  {"JJ224", "Jacks and Deuces"},
-  {"JJ223", "Jacks and Deuces"},
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-  {"TT99K", "Tens and Nines"},
-  {"TT99Q", "Tens and Nines"},
-  {"TT99J", "Tens and Nines"},
-  {"TT998", "Tens and Nines"},
-  {"TT997", "Tens and Nines"},
-  {"TT996", "Tens and Nines"},
-  {"TT995", "Tens and Nines"},
-  {"TT994", "Tens and Nines"},
-  {"TT993", "Tens and Nines"},
-  {"TT992", "Tens and Nines"},
-  {"TT88A", "Tens and Eights"},
-  {"TT88K", "Tens and Eights"},
-  {"TT88Q", "Tens and Eights"},
-  {"TT88J", "Tens and Eights"},
-  {"TT889", "Tens and Eights"},
-  {"TT887", "Tens and Eights"},
-  {"TT886", "Tens and Eights"},
-  {"TT885", "Tens and Eights"},
-  {"TT884", "Tens and Eights"},
-  {"TT883", "Tens and Eights"},
-  {"TT882", "Tens and Eights"},
-  {"TT77A", "Tens and Sevens"},
-  {"TT77K", "Tens and Sevens"},
-  {"TT77Q", "Tens and Sevens"},
-  {"TT77J", "Tens and Sevens"},
-  {"TT779", "Tens and Sevens"},
-  {"TT778", "Tens and Sevens"},
-  {"TT776", "Tens and Sevens"},
-  {"TT775", "Tens and Sevens"},
-  {"TT774", "Tens and Sevens"},
-  {"TT773", "Tens and Sevens"},
-  {"TT772", "Tens and Sevens"},
-  {"TT66A", "Tens and Sixes"},
-  {"TT66K", "Tens and Sixes"},
-  {"TT66Q", "Tens and Sixes"},
-  {"TT66J", "Tens and Sixes"},
-  {"TT669", "Tens and Sixes"},
-  {"TT668", "Tens and Sixes"},
-  {"TT667", "Tens and Sixes"},
-  {"TT665", "Tens and Sixes"},
-  {"TT664", "Tens and Sixes"},
-  {"TT663", "Tens and Sixes"},
-  {"TT662", "Tens and Sixes"},
-  {"TT55A", "Tens and Fives"},
-  {"TT55K", "Tens and Fives"},
-  {"TT55Q", "Tens and Fives"},
-  {"TT55J", "Tens and Fives"},
-  {"TT559", "Tens and Fives"},
-  {"TT558", "Tens and Fives"},
-  {"TT557", "Tens and Fives"},
-  {"TT556", "Tens and Fives"},
-  {"TT554", "Tens and Fives"},
-  {"TT553", "Tens and Fives"},
-  {"TT552", "Tens and Fives"},
-  {"TT44A", "Tens and Fours"},
-  {"TT44K", "Tens and Fours"},
-  {"TT44Q", "Tens and Fours"},
-  {"TT44J", "Tens and Fours"},
-  {"TT449", "Tens and Fours"},
-  {"TT448", "Tens and Fours"},
-  {"TT447", "Tens and Fours"},
-  {"TT446", "Tens and Fours"},
-  {"TT445", "Tens and Fours"},
-  {"TT443", "Tens and Fours"},
-  {"TT442", "Tens and Fours"},
-  {"TT33A", "Tens and Treys"},
-  {"TT33K", "Tens and Treys"},
-  {"TT33Q", "Tens and Treys"},
-  {"TT33J", "Tens and Treys"},
-  {"TT339", "Tens and Treys"},
-  {"TT338", "Tens and Treys"},
-  {"TT337", "Tens and Treys"},
-  {"TT336", "Tens and Treys"},
-  {"TT335", "Tens and Treys"},
-  {"TT334", "Tens and Treys"},
-  {"TT332", "Tens and Treys"},
-  {"TT22A", "Tens and Deuces"},
-  {"TT22K", "Tens and Deuces"},
-  {"TT22Q", "Tens and Deuces"},
-  {"TT22J", "Tens and Deuces"},
-  {"TT229", "Tens and Deuces"},
-  {"TT228", "Tens and Deuces"},
-  {"TT227", "Tens and Deuces"},
-  {"TT226", "Tens and Deuces"},
-  {"TT225", "Tens and Deuces"},
-  {"TT224", "Tens and Deuces"},
-  {"TT223", "Tens and Deuces"},
-  {"9988A", "Nines and Eights"},
-  {"9988K", "Nines and Eights"},
-  {"9988Q", "Nines and Eights"},
-  {"9988J", "Nines and Eights"},
-  {"9988T", "Nines and Eights"},
-  {"99887", "Nines and Eights"},
-  {"99886", "Nines and Eights"},
-  {"99885", "Nines and Eights"},
-  {"99884", "Nines and Eights"},
-  {"99883", "Nines and Eights"},
-  {"99882", "Nines and Eights"},
-  {"9977A", "Nines and Sevens"},
-  {"9977K", "Nines and Sevens"},
-  {"9977Q", "Nines and Sevens"},
-  {"9977J", "Nines and Sevens"},
-  {"9977T", "Nines and Sevens"},
-  {"99778", "Nines and Sevens"},
-  {"99776", "Nines and Sevens"},
-  {"99775", "Nines and Sevens"},
-  {"99774", "Nines and Sevens"},
-  {"99773", "Nines and Sevens"},
-  {"99772", "Nines and Sevens"},
-  {"9966A", "Nines and Sixes"},
-  {"9966K", "Nines and Sixes"},
-  {"9966Q", "Nines and Sixes"},
-  {"9966J", "Nines and Sixes"},
-  {"9966T", "Nines and Sixes"},
-  {"99668", "Nines and Sixes"},
-  {"99667", "Nines and Sixes"},
-  {"99665", "Nines and Sixes"},
-  {"99664", "Nines and Sixes"},
-  {"99663", "Nines and Sixes"},
-  {"99662", "Nines and Sixes"},
-  {"9955A", "Nines and Fives"},
-  {"9955K", "Nines and Fives"},
-  {"9955Q", "Nines and Fives"},
-  {"9955J", "Nines and Fives"},
-  {"9955T", "Nines and Fives"},
-  {"99558", "Nines and Fives"},
-  {"99557", "Nines and Fives"},
-  {"99556", "Nines and Fives"},
-  {"99554", "Nines and Fives"},
-  {"99553", "Nines and Fives"},
-  {"99552", "Nines and Fives"},
-  {"9944A", "Nines and Fours"},
-  {"9944K", "Nines and Fours"},
-  {"9944Q", "Nines and Fours"},
-  {"9944J", "Nines and Fours"},
-  {"9944T", "Nines and Fours"},
-  {"99448", "Nines and Fours"},
-  {"99447", "Nines and Fours"},
-  {"99446", "Nines and Fours"},
-  {"99445", "Nines and Fours"},
-  {"99443", "Nines and Fours"},
-  {"99442", "Nines and Fours"},
-  {"9933A", "Nines and Treys"},
-  {"9933K", "Nines and Treys"},
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-  {"99336", "Nines and Treys"},
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-  {"99334", "Nines and Treys"},
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-  {"9922K", "Nines and Deuces"},
-  {"9922Q", "Nines and Deuces"},
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-  {"9922T", "Nines and Deuces"},
-  {"99228", "Nines and Deuces"},
-  {"99227", "Nines and Deuces"},
-  {"99226", "Nines and Deuces"},
-  {"99225", "Nines and Deuces"},
-  {"99224", "Nines and Deuces"},
-  {"99223", "Nines and Deuces"},
-  {"8877A", "Eights and Sevens"},
-  {"8877K", "Eights and Sevens"},
-  {"8877Q", "Eights and Sevens"},
-  {"8877J", "Eights and Sevens"},
-  {"8877T", "Eights and Sevens"},
-  {"88779", "Eights and Sevens"},
-  {"88776", "Eights and Sevens"},
-  {"88775", "Eights and Sevens"},
-  {"88774", "Eights and Sevens"},
-  {"88773", "Eights and Sevens"},
-  {"88772", "Eights and Sevens"},
-  {"8866A", "Eights and Sixes"},
-  {"8866K", "Eights and Sixes"},
-  {"8866Q", "Eights and Sixes"},
-  {"8866J", "Eights and Sixes"},
-  {"8866T", "Eights and Sixes"},
-  {"88669", "Eights and Sixes"},
-  {"88667", "Eights and Sixes"},
-  {"88665", "Eights and Sixes"},
-  {"88664", "Eights and Sixes"},
-  {"88663", "Eights and Sixes"},
-  {"88662", "Eights and Sixes"},
-  {"8855A", "Eights and Fives"},
-  {"8855K", "Eights and Fives"},
-  {"8855Q", "Eights and Fives"},
-  {"8855J", "Eights and Fives"},
-  {"8855T", "Eights and Fives"},
-  {"88559", "Eights and Fives"},
-  {"88557", "Eights and Fives"},
-  {"88556", "Eights and Fives"},
-  {"88554", "Eights and Fives"},
-  {"88553", "Eights and Fives"},
-  {"88552", "Eights and Fives"},
-  {"8844A", "Eights and Fours"},
-  {"8844K", "Eights and Fours"},
-  {"8844Q", "Eights and Fours"},
-  {"8844J", "Eights and Fours"},
-  {"8844T", "Eights and Fours"},
-  {"88449", "Eights and Fours"},
-  {"88447", "Eights and Fours"},
-  {"88446", "Eights and Fours"},
-  {"88445", "Eights and Fours"},
-  {"88443", "Eights and Fours"},
-  {"88442", "Eights and Fours"},
-  {"8833A", "Eights and Treys"},
-  {"8833K", "Eights and Treys"},
-  {"8833Q", "Eights and Treys"},
-  {"8833J", "Eights and Treys"},
-  {"8833T", "Eights and Treys"},
-  {"88339", "Eights and Treys"},
-  {"88337", "Eights and Treys"},
-  {"88336", "Eights and Treys"},
-  {"88335", "Eights and Treys"},
-  {"88334", "Eights and Treys"},
-  {"88332", "Eights and Treys"},
-  {"8822A", "Eights and Deuces"},
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-  {"8822Q", "Eights and Deuces"},
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-  {"8822T", "Eights and Deuces"},
-  {"88229", "Eights and Deuces"},
-  {"88227", "Eights and Deuces"},
-  {"88226", "Eights and Deuces"},
-  {"88225", "Eights and Deuces"},
-  {"88224", "Eights and Deuces"},
-  {"88223", "Eights and Deuces"},
-  {"7766A", "Sevens and Sixes"},
-  {"7766K", "Sevens and Sixes"},
-  {"7766Q", "Sevens and Sixes"},
-  {"7766J", "Sevens and Sixes"},
-  {"7766T", "Sevens and Sixes"},
-  {"77669", "Sevens and Sixes"},
-  {"77668", "Sevens and Sixes"},
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-  {"77664", "Sevens and Sixes"},
-  {"77663", "Sevens and Sixes"},
-  {"77662", "Sevens and Sixes"},
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-  {"7755T", "Sevens and Fives"},
-  {"77559", "Sevens and Fives"},
-  {"77558", "Sevens and Fives"},
-  {"77556", "Sevens and Fives"},
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-  {"77553", "Sevens and Fives"},
-  {"77552", "Sevens and Fives"},
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-  {"77449", "Sevens and Fours"},
-  {"77448", "Sevens and Fours"},
-  {"77446", "Sevens and Fours"},
-  {"77445", "Sevens and Fours"},
-  {"77443", "Sevens and Fours"},
-  {"77442", "Sevens and Fours"},
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-  {"7733Q", "Sevens and Treys"},
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-  {"7733T", "Sevens and Treys"},
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-  {"77338", "Sevens and Treys"},
-  {"77336", "Sevens and Treys"},
-  {"77335", "Sevens and Treys"},
-  {"77334", "Sevens and Treys"},
-  {"77332", "Sevens and Treys"},
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-  {"7722K", "Sevens and Deuces"},
-  {"7722Q", "Sevens and Deuces"},
-  {"7722J", "Sevens and Deuces"},
-  {"7722T", "Sevens and Deuces"},
-  {"77229", "Sevens and Deuces"},
-  {"77228", "Sevens and Deuces"},
-  {"77226", "Sevens and Deuces"},
-  {"77225", "Sevens and Deuces"},
-  {"77224", "Sevens and Deuces"},
-  {"77223", "Sevens and Deuces"},
-  {"6655A", "Sixes and Fives"},
-  {"6655K", "Sixes and Fives"},
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-  {"66558", "Sixes and Fives"},
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-  {"66554", "Sixes and Fives"},
-  {"66553", "Sixes and Fives"},
-  {"66552", "Sixes and Fives"},
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-  {"66228", "Sixes and Deuces"},
-  {"66227", "Sixes and Deuces"},
-  {"66225", "Sixes and Deuces"},
-  {"66224", "Sixes and Deuces"},
-  {"66223", "Sixes and Deuces"},
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-  {"5544K", "Fives and Fours"},
-  {"5544Q", "Fives and Fours"},
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-  {"55449", "Fives and Fours"},
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-  {"5533J", "Fives and Treys"},
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-  {"55339", "Fives and Treys"},
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-  {"55336", "Fives and Treys"},
-  {"55334", "Fives and Treys"},
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-  {"55226", "Fives and Deuces"},
-  {"55224", "Fives and Deuces"},
-  {"55223", "Fives and Deuces"},
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-  {"4422T", "Fours and Deuces"},
-  {"44229", "Fours and Deuces"},
-  {"44228", "Fours and Deuces"},
-  {"44227", "Fours and Deuces"},
-  {"44226", "Fours and Deuces"},
-  {"44225", "Fours and Deuces"},
-  {"44223", "Fours and Deuces"},
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-  {"3322K", "Treys and Deuces"},
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-  {"3322T", "Treys and Deuces"},
-  {"33229", "Treys and Deuces"},
-  {"33228", "Treys and Deuces"},
-  {"33227", "Treys and Deuces"},
-  {"33226", "Treys and Deuces"},
-  {"33225", "Treys and Deuces"},
-  {"33224", "Treys and Deuces"},
-  {"AAKQJ", "Pair of Aces"},
-  {"AAKQT", "Pair of Aces"},
-  {"AAKQ9", "Pair of Aces"},
-  {"AAKQ8", "Pair of Aces"},
-  {"AAKQ7", "Pair of Aces"},
-  {"AAKQ6", "Pair of Aces"},
-  {"AAKQ5", "Pair of Aces"},
-  {"AAKQ4", "Pair of Aces"},
-  {"AAKQ3", "Pair of Aces"},
-  {"AAKQ2", "Pair of Aces"},
-  {"AAKJT", "Pair of Aces"},
-  {"AAKJ9", "Pair of Aces"},
-  {"AAKJ8", "Pair of Aces"},
-  {"AAKJ7", "Pair of Aces"},
-  {"AAKJ6", "Pair of Aces"},
-  {"AAKJ5", "Pair of Aces"},
-  {"AAKJ4", "Pair of Aces"},
-  {"AAKJ3", "Pair of Aces"},
-  {"AAKJ2", "Pair of Aces"},
-  {"AAKT9", "Pair of Aces"},
-  {"AAKT8", "Pair of Aces"},
-  {"AAKT7", "Pair of Aces"},
-  {"AAKT6", "Pair of Aces"},
-  {"AAKT5", "Pair of Aces"},
-  {"AAKT4", "Pair of Aces"},
-  {"AAKT3", "Pair of Aces"},
-  {"AAKT2", "Pair of Aces"},
-  {"AAK98", "Pair of Aces"},
-  {"AAK97", "Pair of Aces"},
-  {"AAK96", "Pair of Aces"},
-  {"AAK95", "Pair of Aces"},
-  {"AAK94", "Pair of Aces"},
-  {"AAK93", "Pair of Aces"},
-  {"AAK92", "Pair of Aces"},
-  {"AAK87", "Pair of Aces"},
-  {"AAK86", "Pair of Aces"},
-  {"AAK85", "Pair of Aces"},
-  {"AAK84", "Pair of Aces"},
-  {"AAK83", "Pair of Aces"},
-  {"AAK82", "Pair of Aces"},
-  {"AAK76", "Pair of Aces"},
-  {"AAK75", "Pair of Aces"},
-  {"AAK74", "Pair of Aces"},
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-  {"A7542", "Ace-High"},
-  {"A7532", "Ace-High"},
-  {"A7432", "Ace-High"},
-  {"A6543", "Ace-High"},
-  {"A6542", "Ace-High"},
-  {"A6532", "Ace-High"},
-  {"A6432", "Ace-High"},
-  {"KQJT8", "King-High"},
-  {"KQJT7", "King-High"},
-  {"KQJT6", "King-High"},
-  {"KQJT5", "King-High"},
-  {"KQJT4", "King-High"},
-  {"KQJT3", "King-High"},
-  {"KQJT2", "King-High"},
-  {"KQJ98", "King-High"},
-  {"KQJ97", "King-High"},
-  {"KQJ96", "King-High"},
-  {"KQJ95", "King-High"},
-  {"KQJ94", "King-High"},
-  {"KQJ93", "King-High"},
-  {"KQJ92", "King-High"},
-  {"KQJ87", "King-High"},
-  {"KQJ86", "King-High"},
-  {"KQJ85", "King-High"},
-  {"KQJ84", "King-High"},
-  {"KQJ83", "King-High"},
-  {"KQJ82", "King-High"},
-  {"KQJ76", "King-High"},
-  {"KQJ75", "King-High"},
-  {"KQJ74", "King-High"},
-  {"KQJ73", "King-High"},
-  {"KQJ72", "King-High"},
-  {"KQJ65", "King-High"},
-  {"KQJ64", "King-High"},
-  {"KQJ63", "King-High"},
-  {"KQJ62", "King-High"},
-  {"KQJ54", "King-High"},
-  {"KQJ53", "King-High"},
-  {"KQJ52", "King-High"},
-  {"KQJ43", "King-High"},
-  {"KQJ42", "King-High"},
-  {"KQJ32", "King-High"},
-  {"KQT98", "King-High"},
-  {"KQT97", "King-High"},
-  {"KQT96", "King-High"},
-  {"KQT95", "King-High"},
-  {"KQT94", "King-High"},
-  {"KQT93", "King-High"},
-  {"KQT92", "King-High"},
-  {"KQT87", "King-High"},
-  {"KQT86", "King-High"},
-  {"KQT85", "King-High"},
-  {"KQT84", "King-High"},
-  {"KQT83", "King-High"},
-  {"KQT82", "King-High"},
-  {"KQT76", "King-High"},
-  {"KQT75", "King-High"},
-  {"KQT74", "King-High"},
-  {"KQT73", "King-High"},
-  {"KQT72", "King-High"},
-  {"KQT65", "King-High"},
-  {"KQT64", "King-High"},
-  {"KQT63", "King-High"},
-  {"KQT62", "King-High"},
-  {"KQT54", "King-High"},
-  {"KQT53", "King-High"},
-  {"KQT52", "King-High"},
-  {"KQT43", "King-High"},
-  {"KQT42", "King-High"},
-  {"KQT32", "King-High"},
-  {"KQ987", "King-High"},
-  {"KQ986", "King-High"},
-  {"KQ985", "King-High"},
-  {"KQ984", "King-High"},
-  {"KQ983", "King-High"},
-  {"KQ982", "King-High"},
-  {"KQ976", "King-High"},
-  {"KQ975", "King-High"},
-  {"KQ974", "King-High"},
-  {"KQ973", "King-High"},
-  {"KQ972", "King-High"},
-  {"KQ965", "King-High"},
-  {"KQ964", "King-High"},
-  {"KQ963", "King-High"},
-  {"KQ962", "King-High"},
-  {"KQ954", "King-High"},
-  {"KQ953", "King-High"},
-  {"KQ952", "King-High"},
-  {"KQ943", "King-High"},
-  {"KQ942", "King-High"},
-  {"KQ932", "King-High"},
-  {"KQ876", "King-High"},
-  {"KQ875", "King-High"},
-  {"KQ874", "King-High"},
-  {"KQ873", "King-High"},
-  {"KQ872", "King-High"},
-  {"KQ865", "King-High"},
-  {"KQ864", "King-High"},
-  {"KQ863", "King-High"},
-  {"KQ862", "King-High"},
-  {"KQ854", "King-High"},
-  {"KQ853", "King-High"},
-  {"KQ852", "King-High"},
-  {"KQ843", "King-High"},
-  {"KQ842", "King-High"},
-  {"KQ832", "King-High"},
-  {"KQ765", "King-High"},
-  {"KQ764", "King-High"},
-  {"KQ763", "King-High"},
-  {"KQ762", "King-High"},
-  {"KQ754", "King-High"},
-  {"KQ753", "King-High"},
-  {"KQ752", "King-High"},
-  {"KQ743", "King-High"},
-  {"KQ742", "King-High"},
-  {"KQ732", "King-High"},
-  {"KQ654", "King-High"},
-  {"KQ653", "King-High"},
-  {"KQ652", "King-High"},
-  {"KQ643", "King-High"},
-  {"KQ642", "King-High"},
-  {"KQ632", "King-High"},
-  {"KQ543", "King-High"},
-  {"KQ542", "King-High"},
-  {"KQ532", "King-High"},
-  {"KQ432", "King-High"},
-  {"KJT98", "King-High"},
-  {"KJT97", "King-High"},
-  {"KJT96", "King-High"},
-  {"KJT95", "King-High"},
-  {"KJT94", "King-High"},
-  {"KJT93", "King-High"},
-  {"KJT92", "King-High"},
-  {"KJT87", "King-High"},
-  {"KJT86", "King-High"},
-  {"KJT85", "King-High"},
-  {"KJT84", "King-High"},
-  {"KJT83", "King-High"},
-  {"KJT82", "King-High"},
-  {"KJT76", "King-High"},
-  {"KJT75", "King-High"},
-  {"KJT74", "King-High"},
-  {"KJT73", "King-High"},
-  {"KJT72", "King-High"},
-  {"KJT65", "King-High"},
-  {"KJT64", "King-High"},
-  {"KJT63", "King-High"},
-  {"KJT62", "King-High"},
-  {"KJT54", "King-High"},
-  {"KJT53", "King-High"},
-  {"KJT52", "King-High"},
-  {"KJT43", "King-High"},
-  {"KJT42", "King-High"},
-  {"KJT32", "King-High"},
-  {"KJ987", "King-High"},
-  {"KJ986", "King-High"},
-  {"KJ985", "King-High"},
-  {"KJ984", "King-High"},
-  {"KJ983", "King-High"},
-  {"KJ982", "King-High"},
-  {"KJ976", "King-High"},
-  {"KJ975", "King-High"},
-  {"KJ974", "King-High"},
-  {"KJ973", "King-High"},
-  {"KJ972", "King-High"},
-  {"KJ965", "King-High"},
-  {"KJ964", "King-High"},
-  {"KJ963", "King-High"},
-  {"KJ962", "King-High"},
-  {"KJ954", "King-High"},
-  {"KJ953", "King-High"},
-  {"KJ952", "King-High"},
-  {"KJ943", "King-High"},
-  {"KJ942", "King-High"},
-  {"KJ932", "King-High"},
-  {"KJ876", "King-High"},
-  {"KJ875", "King-High"},
-  {"KJ874", "King-High"},
-  {"KJ873", "King-High"},
-  {"KJ872", "King-High"},
-  {"KJ865", "King-High"},
-  {"KJ864", "King-High"},
-  {"KJ863", "King-High"},
-  {"KJ862", "King-High"},
-  {"KJ854", "King-High"},
-  {"KJ853", "King-High"},
-  {"KJ852", "King-High"},
-  {"KJ843", "King-High"},
-  {"KJ842", "King-High"},
-  {"KJ832", "King-High"},
-  {"KJ765", "King-High"},
-  {"KJ764", "King-High"},
-  {"KJ763", "King-High"},
-  {"KJ762", "King-High"},
-  {"KJ754", "King-High"},
-  {"KJ753", "King-High"},
-  {"KJ752", "King-High"},
-  {"KJ743", "King-High"},
-  {"KJ742", "King-High"},
-  {"KJ732", "King-High"},
-  {"KJ654", "King-High"},
-  {"KJ653", "King-High"},
-  {"KJ652", "King-High"},
-  {"KJ643", "King-High"},
-  {"KJ642", "King-High"},
-  {"KJ632", "King-High"},
-  {"KJ543", "King-High"},
-  {"KJ542", "King-High"},
-  {"KJ532", "King-High"},
-  {"KJ432", "King-High"},
-  {"KT987", "King-High"},
-  {"KT986", "King-High"},
-  {"KT985", "King-High"},
-  {"KT984", "King-High"},
-  {"KT983", "King-High"},
-  {"KT982", "King-High"},
-  {"KT976", "King-High"},
-  {"KT975", "King-High"},
-  {"KT974", "King-High"},
-  {"KT973", "King-High"},
-  {"KT972", "King-High"},
-  {"KT965", "King-High"},
-  {"KT964", "King-High"},
-  {"KT963", "King-High"},
-  {"KT962", "King-High"},
-  {"KT954", "King-High"},
-  {"KT953", "King-High"},
-  {"KT952", "King-High"},
-  {"KT943", "King-High"},
-  {"KT942", "King-High"},
-  {"KT932", "King-High"},
-  {"KT876", "King-High"},
-  {"KT875", "King-High"},
-  {"KT874", "King-High"},
-  {"KT873", "King-High"},
-  {"KT872", "King-High"},
-  {"KT865", "King-High"},
-  {"KT864", "King-High"},
-  {"KT863", "King-High"},
-  {"KT862", "King-High"},
-  {"KT854", "King-High"},
-  {"KT853", "King-High"},
-  {"KT852", "King-High"},
-  {"KT843", "King-High"},
-  {"KT842", "King-High"},
-  {"KT832", "King-High"},
-  {"KT765", "King-High"},
-  {"KT764", "King-High"},
-  {"KT763", "King-High"},
-  {"KT762", "King-High"},
-  {"KT754", "King-High"},
-  {"KT753", "King-High"},
-  {"KT752", "King-High"},
-  {"KT743", "King-High"},
-  {"KT742", "King-High"},
-  {"KT732", "King-High"},
-  {"KT654", "King-High"},
-  {"KT653", "King-High"},
-  {"KT652", "King-High"},
-  {"KT643", "King-High"},
-  {"KT642", "King-High"},
-  {"KT632", "King-High"},
-  {"KT543", "King-High"},
-  {"KT542", "King-High"},
-  {"KT532", "King-High"},
-  {"KT432", "King-High"},
-  {"K9876", "King-High"},
-  {"K9875", "King-High"},
-  {"K9874", "King-High"},
-  {"K9873", "King-High"},
-  {"K9872", "King-High"},
-  {"K9865", "King-High"},
-  {"K9864", "King-High"},
-  {"K9863", "King-High"},
-  {"K9862", "King-High"},
-  {"K9854", "King-High"},
-  {"K9853", "King-High"},
-  {"K9852", "King-High"},
-  {"K9843", "King-High"},
-  {"K9842", "King-High"},
-  {"K9832", "King-High"},
-  {"K9765", "King-High"},
-  {"K9764", "King-High"},
-  {"K9763", "King-High"},
-  {"K9762", "King-High"},
-  {"K9754", "King-High"},
-  {"K9753", "King-High"},
-  {"K9752", "King-High"},
-  {"K9743", "King-High"},
-  {"K9742", "King-High"},
-  {"K9732", "King-High"},
-  {"K9654", "King-High"},
-  {"K9653", "King-High"},
-  {"K9652", "King-High"},
-  {"K9643", "King-High"},
-  {"K9642", "King-High"},
-  {"K9632", "King-High"},
-  {"K9543", "King-High"},
-  {"K9542", "King-High"},
-  {"K9532", "King-High"},
-  {"K9432", "King-High"},
-  {"K8765", "King-High"},
-  {"K8764", "King-High"},
-  {"K8763", "King-High"},
-  {"K8762", "King-High"},
-  {"K8754", "King-High"},
-  {"K8753", "King-High"},
-  {"K8752", "King-High"},
-  {"K8743", "King-High"},
-  {"K8742", "King-High"},
-  {"K8732", "King-High"},
-  {"K8654", "King-High"},
-  {"K8653", "King-High"},
-  {"K8652", "King-High"},
-  {"K8643", "King-High"},
-  {"K8642", "King-High"},
-  {"K8632", "King-High"},
-  {"K8543", "King-High"},
-  {"K8542", "King-High"},
-  {"K8532", "King-High"},
-  {"K8432", "King-High"},
-  {"K7654", "King-High"},
-  {"K7653", "King-High"},
-  {"K7652", "King-High"},
-  {"K7643", "King-High"},
-  {"K7642", "King-High"},
-  {"K7632", "King-High"},
-  {"K7543", "King-High"},
-  {"K7542", "King-High"},
-  {"K7532", "King-High"},
-  {"K7432", "King-High"},
-  {"K6543", "King-High"},
-  {"K6542", "King-High"},
-  {"K6532", "King-High"},
-  {"K6432", "King-High"},
-  {"K5432", "King-High"},
-  {"QJT97", "Queen-High"},
-  {"QJT96", "Queen-High"},
-  {"QJT95", "Queen-High"},
-  {"QJT94", "Queen-High"},
-  {"QJT93", "Queen-High"},
-  {"QJT92", "Queen-High"},
-  {"QJT87", "Queen-High"},
-  {"QJT86", "Queen-High"},
-  {"QJT85", "Queen-High"},
-  {"QJT84", "Queen-High"},
-  {"QJT83", "Queen-High"},
-  {"QJT82", "Queen-High"},
-  {"QJT76", "Queen-High"},
-  {"QJT75", "Queen-High"},
-  {"QJT74", "Queen-High"},
-  {"QJT73", "Queen-High"},
-  {"QJT72", "Queen-High"},
-  {"QJT65", "Queen-High"},
-  {"QJT64", "Queen-High"},
-  {"QJT63", "Queen-High"},
-  {"QJT62", "Queen-High"},
-  {"QJT54", "Queen-High"},
-  {"QJT53", "Queen-High"},
-  {"QJT52", "Queen-High"},
-  {"QJT43", "Queen-High"},
-  {"QJT42", "Queen-High"},
-  {"QJT32", "Queen-High"},
-  {"QJ987", "Queen-High"},
-  {"QJ986", "Queen-High"},
-  {"QJ985", "Queen-High"},
-  {"QJ984", "Queen-High"},
-  {"QJ983", "Queen-High"},
-  {"QJ982", "Queen-High"},
-  {"QJ976", "Queen-High"},
-  {"QJ975", "Queen-High"},
-  {"QJ974", "Queen-High"},
-  {"QJ973", "Queen-High"},
-  {"QJ972", "Queen-High"},
-  {"QJ965", "Queen-High"},
-  {"QJ964", "Queen-High"},
-  {"QJ963", "Queen-High"},
-  {"QJ962", "Queen-High"},
-  {"QJ954", "Queen-High"},
-  {"QJ953", "Queen-High"},
-  {"QJ952", "Queen-High"},
-  {"QJ943", "Queen-High"},
-  {"QJ942", "Queen-High"},
-  {"QJ932", "Queen-High"},
-  {"QJ876", "Queen-High"},
-  {"QJ875", "Queen-High"},
-  {"QJ874", "Queen-High"},
-  {"QJ873", "Queen-High"},
-  {"QJ872", "Queen-High"},
-  {"QJ865", "Queen-High"},
-  {"QJ864", "Queen-High"},
-  {"QJ863", "Queen-High"},
-  {"QJ862", "Queen-High"},
-  {"QJ854", "Queen-High"},
-  {"QJ853", "Queen-High"},
-  {"QJ852", "Queen-High"},
-  {"QJ843", "Queen-High"},
-  {"QJ842", "Queen-High"},
-  {"QJ832", "Queen-High"},
-  {"QJ765", "Queen-High"},
-  {"QJ764", "Queen-High"},
-  {"QJ763", "Queen-High"},
-  {"QJ762", "Queen-High"},
-  {"QJ754", "Queen-High"},
-  {"QJ753", "Queen-High"},
-  {"QJ752", "Queen-High"},
-  {"QJ743", "Queen-High"},
-  {"QJ742", "Queen-High"},
-  {"QJ732", "Queen-High"},
-  {"QJ654", "Queen-High"},
-  {"QJ653", "Queen-High"},
-  {"QJ652", "Queen-High"},
-  {"QJ643", "Queen-High"},
-  {"QJ642", "Queen-High"},
-  {"QJ632", "Queen-High"},
-  {"QJ543", "Queen-High"},
-  {"QJ542", "Queen-High"},
-  {"QJ532", "Queen-High"},
-  {"QJ432", "Queen-High"},
-  {"QT987", "Queen-High"},
-  {"QT986", "Queen-High"},
-  {"QT985", "Queen-High"},
-  {"QT984", "Queen-High"},
-  {"QT983", "Queen-High"},
-  {"QT982", "Queen-High"},
-  {"QT976", "Queen-High"},
-  {"QT975", "Queen-High"},
-  {"QT974", "Queen-High"},
-  {"QT973", "Queen-High"},
-  {"QT972", "Queen-High"},
-  {"QT965", "Queen-High"},
-  {"QT964", "Queen-High"},
-  {"QT963", "Queen-High"},
-  {"QT962", "Queen-High"},
-  {"QT954", "Queen-High"},
-  {"QT953", "Queen-High"},
-  {"QT952", "Queen-High"},
-  {"QT943", "Queen-High"},
-  {"QT942", "Queen-High"},
-  {"QT932", "Queen-High"},
-  {"QT876", "Queen-High"},
-  {"QT875", "Queen-High"},
-  {"QT874", "Queen-High"},
-  {"QT873", "Queen-High"},
-  {"QT872", "Queen-High"},
-  {"QT865", "Queen-High"},
-  {"QT864", "Queen-High"},
-  {"QT863", "Queen-High"},
-  {"QT862", "Queen-High"},
-  {"QT854", "Queen-High"},
-  {"QT853", "Queen-High"},
-  {"QT852", "Queen-High"},
-  {"QT843", "Queen-High"},
-  {"QT842", "Queen-High"},
-  {"QT832", "Queen-High"},
-  {"QT765", "Queen-High"},
-  {"QT764", "Queen-High"},
-  {"QT763", "Queen-High"},
-  {"QT762", "Queen-High"},
-  {"QT754", "Queen-High"},
-  {"QT753", "Queen-High"},
-  {"QT752", "Queen-High"},
-  {"QT743", "Queen-High"},
-  {"QT742", "Queen-High"},
-  {"QT732", "Queen-High"},
-  {"QT654", "Queen-High"},
-  {"QT653", "Queen-High"},
-  {"QT652", "Queen-High"},
-  {"QT643", "Queen-High"},
-  {"QT642", "Queen-High"},
-  {"QT632", "Queen-High"},
-  {"QT543", "Queen-High"},
-  {"QT542", "Queen-High"},
-  {"QT532", "Queen-High"},
-  {"QT432", "Queen-High"},
-  {"Q9876", "Queen-High"},
-  {"Q9875", "Queen-High"},
-  {"Q9874", "Queen-High"},
-  {"Q9873", "Queen-High"},
-  {"Q9872", "Queen-High"},
-  {"Q9865", "Queen-High"},
-  {"Q9864", "Queen-High"},
-  {"Q9863", "Queen-High"},
-  {"Q9862", "Queen-High"},
-  {"Q9854", "Queen-High"},
-  {"Q9853", "Queen-High"},
-  {"Q9852", "Queen-High"},
-  {"Q9843", "Queen-High"},
-  {"Q9842", "Queen-High"},
-  {"Q9832", "Queen-High"},
-  {"Q9765", "Queen-High"},
-  {"Q9764", "Queen-High"},
-  {"Q9763", "Queen-High"},
-  {"Q9762", "Queen-High"},
-  {"Q9754", "Queen-High"},
-  {"Q9753", "Queen-High"},
-  {"Q9752", "Queen-High"},
-  {"Q9743", "Queen-High"},
-  {"Q9742", "Queen-High"},
-  {"Q9732", "Queen-High"},
-  {"Q9654", "Queen-High"},
-  {"Q9653", "Queen-High"},
-  {"Q9652", "Queen-High"},
-  {"Q9643", "Queen-High"},
-  {"Q9642", "Queen-High"},
-  {"Q9632", "Queen-High"},
-  {"Q9543", "Queen-High"},
-  {"Q9542", "Queen-High"},
-  {"Q9532", "Queen-High"},
-  {"Q9432", "Queen-High"},
-  {"Q8765", "Queen-High"},
-  {"Q8764", "Queen-High"},
-  {"Q8763", "Queen-High"},
-  {"Q8762", "Queen-High"},
-  {"Q8754", "Queen-High"},
-  {"Q8753", "Queen-High"},
-  {"Q8752", "Queen-High"},
-  {"Q8743", "Queen-High"},
-  {"Q8742", "Queen-High"},
-  {"Q8732", "Queen-High"},
-  {"Q8654", "Queen-High"},
-  {"Q8653", "Queen-High"},
-  {"Q8652", "Queen-High"},
-  {"Q8643", "Queen-High"},
-  {"Q8642", "Queen-High"},
-  {"Q8632", "Queen-High"},
-  {"Q8543", "Queen-High"},
-  {"Q8542", "Queen-High"},
-  {"Q8532", "Queen-High"},
-  {"Q8432", "Queen-High"},
-  {"Q7654", "Queen-High"},
-  {"Q7653", "Queen-High"},
-  {"Q7652", "Queen-High"},
-  {"Q7643", "Queen-High"},
-  {"Q7642", "Queen-High"},
-  {"Q7632", "Queen-High"},
-  {"Q7543", "Queen-High"},
-  {"Q7542", "Queen-High"},
-  {"Q7532", "Queen-High"},
-  {"Q7432", "Queen-High"},
-  {"Q6543", "Queen-High"},
-  {"Q6542", "Queen-High"},
-  {"Q6532", "Queen-High"},
-  {"Q6432", "Queen-High"},
-  {"Q5432", "Queen-High"},
-  {"JT986", "Jack-High"},
-  {"JT985", "Jack-High"},
-  {"JT984", "Jack-High"},
-  {"JT983", "Jack-High"},
-  {"JT982", "Jack-High"},
-  {"JT976", "Jack-High"},
-  {"JT975", "Jack-High"},
-  {"JT974", "Jack-High"},
-  {"JT973", "Jack-High"},
-  {"JT972", "Jack-High"},
-  {"JT965", "Jack-High"},
-  {"JT964", "Jack-High"},
-  {"JT963", "Jack-High"},
-  {"JT962", "Jack-High"},
-  {"JT954", "Jack-High"},
-  {"JT953", "Jack-High"},
-  {"JT952", "Jack-High"},
-  {"JT943", "Jack-High"},
-  {"JT942", "Jack-High"},
-  {"JT932", "Jack-High"},
-  {"JT876", "Jack-High"},
-  {"JT875", "Jack-High"},
-  {"JT874", "Jack-High"},
-  {"JT873", "Jack-High"},
-  {"JT872", "Jack-High"},
-  {"JT865", "Jack-High"},
-  {"JT864", "Jack-High"},
-  {"JT863", "Jack-High"},
-  {"JT862", "Jack-High"},
-  {"JT854", "Jack-High"},
-  {"JT853", "Jack-High"},
-  {"JT852", "Jack-High"},
-  {"JT843", "Jack-High"},
-  {"JT842", "Jack-High"},
-  {"JT832", "Jack-High"},
-  {"JT765", "Jack-High"},
-  {"JT764", "Jack-High"},
-  {"JT763", "Jack-High"},
-  {"JT762", "Jack-High"},
-  {"JT754", "Jack-High"},
-  {"JT753", "Jack-High"},
-  {"JT752", "Jack-High"},
-  {"JT743", "Jack-High"},
-  {"JT742", "Jack-High"},
-  {"JT732", "Jack-High"},
-  {"JT654", "Jack-High"},
-  {"JT653", "Jack-High"},
-  {"JT652", "Jack-High"},
-  {"JT643", "Jack-High"},
-  {"JT642", "Jack-High"},
-  {"JT632", "Jack-High"},
-  {"JT543", "Jack-High"},
-  {"JT542", "Jack-High"},
-  {"JT532", "Jack-High"},
-  {"JT432", "Jack-High"},
-  {"J9876", "Jack-High"},
-  {"J9875", "Jack-High"},
-  {"J9874", "Jack-High"},
-  {"J9873", "Jack-High"},
-  {"J9872", "Jack-High"},
-  {"J9865", "Jack-High"},
-  {"J9864", "Jack-High"},
-  {"J9863", "Jack-High"},
-  {"J9862", "Jack-High"},
-  {"J9854", "Jack-High"},
-  {"J9853", "Jack-High"},
-  {"J9852", "Jack-High"},
-  {"J9843", "Jack-High"},
-  {"J9842", "Jack-High"},
-  {"J9832", "Jack-High"},
-  {"J9765", "Jack-High"},
-  {"J9764", "Jack-High"},
-  {"J9763", "Jack-High"},
-  {"J9762", "Jack-High"},
-  {"J9754", "Jack-High"},
-  {"J9753", "Jack-High"},
-  {"J9752", "Jack-High"},
-  {"J9743", "Jack-High"},
-  {"J9742", "Jack-High"},
-  {"J9732", "Jack-High"},
-  {"J9654", "Jack-High"},
-  {"J9653", "Jack-High"},
-  {"J9652", "Jack-High"},
-  {"J9643", "Jack-High"},
-  {"J9642", "Jack-High"},
-  {"J9632", "Jack-High"},
-  {"J9543", "Jack-High"},
-  {"J9542", "Jack-High"},
-  {"J9532", "Jack-High"},
-  {"J9432", "Jack-High"},
-  {"J8765", "Jack-High"},
-  {"J8764", "Jack-High"},
-  {"J8763", "Jack-High"},
-  {"J8762", "Jack-High"},
-  {"J8754", "Jack-High"},
-  {"J8753", "Jack-High"},
-  {"J8752", "Jack-High"},
-  {"J8743", "Jack-High"},
-  {"J8742", "Jack-High"},
-  {"J8732", "Jack-High"},
-  {"J8654", "Jack-High"},
-  {"J8653", "Jack-High"},
-  {"J8652", "Jack-High"},
-  {"J8643", "Jack-High"},
-  {"J8642", "Jack-High"},
-  {"J8632", "Jack-High"},
-  {"J8543", "Jack-High"},
-  {"J8542", "Jack-High"},
-  {"J8532", "Jack-High"},
-  {"J8432", "Jack-High"},
-  {"J7654", "Jack-High"},
-  {"J7653", "Jack-High"},
-  {"J7652", "Jack-High"},
-  {"J7643", "Jack-High"},
-  {"J7642", "Jack-High"},
-  {"J7632", "Jack-High"},
-  {"J7543", "Jack-High"},
-  {"J7542", "Jack-High"},
-  {"J7532", "Jack-High"},
-  {"J7432", "Jack-High"},
-  {"J6543", "Jack-High"},
-  {"J6542", "Jack-High"},
-  {"J6532", "Jack-High"},
-  {"J6432", "Jack-High"},
-  {"J5432", "Jack-High"},
-  {"T9875", "Ten-High"},
-  {"T9874", "Ten-High"},
-  {"T9873", "Ten-High"},
-  {"T9872", "Ten-High"},
-  {"T9865", "Ten-High"},
-  {"T9864", "Ten-High"},
-  {"T9863", "Ten-High"},
-  {"T9862", "Ten-High"},
-  {"T9854", "Ten-High"},
-  {"T9853", "Ten-High"},
-  {"T9852", "Ten-High"},
-  {"T9843", "Ten-High"},
-  {"T9842", "Ten-High"},
-  {"T9832", "Ten-High"},
-  {"T9765", "Ten-High"},
-  {"T9764", "Ten-High"},
-  {"T9763", "Ten-High"},
-  {"T9762", "Ten-High"},
-  {"T9754", "Ten-High"},
-  {"T9753", "Ten-High"},
-  {"T9752", "Ten-High"},
-  {"T9743", "Ten-High"},
-  {"T9742", "Ten-High"},
-  {"T9732", "Ten-High"},
-  {"T9654", "Ten-High"},
-  {"T9653", "Ten-High"},
-  {"T9652", "Ten-High"},
-  {"T9643", "Ten-High"},
-  {"T9642", "Ten-High"},
-  {"T9632", "Ten-High"},
-  {"T9543", "Ten-High"},
-  {"T9542", "Ten-High"},
-  {"T9532", "Ten-High"},
-  {"T9432", "Ten-High"},
-  {"T8765", "Ten-High"},
-  {"T8764", "Ten-High"},
-  {"T8763", "Ten-High"},
-  {"T8762", "Ten-High"},
-  {"T8754", "Ten-High"},
-  {"T8753", "Ten-High"},
-  {"T8752", "Ten-High"},
-  {"T8743", "Ten-High"},
-  {"T8742", "Ten-High"},
-  {"T8732", "Ten-High"},
-  {"T8654", "Ten-High"},
-  {"T8653", "Ten-High"},
-  {"T8652", "Ten-High"},
-  {"T8643", "Ten-High"},
-  {"T8642", "Ten-High"},
-  {"T8632", "Ten-High"},
-  {"T8543", "Ten-High"},
-  {"T8542", "Ten-High"},
-  {"T8532", "Ten-High"},
-  {"T8432", "Ten-High"},
-  {"T7654", "Ten-High"},
-  {"T7653", "Ten-High"},
-  {"T7652", "Ten-High"},
-  {"T7643", "Ten-High"},
-  {"T7642", "Ten-High"},
-  {"T7632", "Ten-High"},
-  {"T7543", "Ten-High"},
-  {"T7542", "Ten-High"},
-  {"T7532", "Ten-High"},
-  {"T7432", "Ten-High"},
-  {"T6543", "Ten-High"},
-  {"T6542", "Ten-High"},
-  {"T6532", "Ten-High"},
-  {"T6432", "Ten-High"},
-  {"T5432", "Ten-High"},
-  {"98764", "Nine-High"},
-  {"98763", "Nine-High"},
-  {"98762", "Nine-High"},
-  {"98754", "Nine-High"},
-  {"98753", "Nine-High"},
-  {"98752", "Nine-High"},
-  {"98743", "Nine-High"},
-  {"98742", "Nine-High"},
-  {"98732", "Nine-High"},
-  {"98654", "Nine-High"},
-  {"98653", "Nine-High"},
-  {"98652", "Nine-High"},
-  {"98643", "Nine-High"},
-  {"98642", "Nine-High"},
-  {"98632", "Nine-High"},
-  {"98543", "Nine-High"},
-  {"98542", "Nine-High"},
-  {"98532", "Nine-High"},
-  {"98432", "Nine-High"},
-  {"97654", "Nine-High"},
-  {"97653", "Nine-High"},
-  {"97652", "Nine-High"},
-  {"97643", "Nine-High"},
-  {"97642", "Nine-High"},
-  {"97632", "Nine-High"},
-  {"97543", "Nine-High"},
-  {"97542", "Nine-High"},
-  {"97532", "Nine-High"},
-  {"97432", "Nine-High"},
-  {"96543", "Nine-High"},
-  {"96542", "Nine-High"},
-  {"96532", "Nine-High"},
-  {"96432", "Nine-High"},
-  {"95432", "Nine-High"},
-  {"87653", "Eight-High"},
-  {"87652", "Eight-High"},
-  {"87643", "Eight-High"},
-  {"87642", "Eight-High"},
-  {"87632", "Eight-High"},
-  {"87543", "Eight-High"},
-  {"87542", "Eight-High"},
-  {"87532", "Eight-High"},
-  {"87432", "Eight-High"},
-  {"86543", "Eight-High"},
-  {"86542", "Eight-High"},
-  {"86532", "Eight-High"},
-  {"86432", "Eight-High"},
-  {"85432", "Eight-High"},
-  {"76542", "Seven-High"},
-  {"76532", "Seven-High"},
-  {"76432", "Seven-High"},
-  {"75432", "Seven-High"},
+    {"", ""},
+    {"AKQJT", "Royal Flush"},
+    {"KQJT9", "King-High Straight Flush"},
+    {"QJT98", "Queen-High Straight Flush"},
+    {"JT987", "Jack-High Straight Flush"},
+    {"T9876", "Ten-High Straight Flush"},
+    {"98765", "Nine-High Straight Flush"},
+    {"87654", "Eight-High Straight Flush"},
+    {"76543", "Seven-High Straight Flush"},
+    {"65432", "Six-High Straight Flush"},
+    {"5432A", "Five-High Straight Flush"},
+    {"AAAAK", "Four Aces"},
+    {"AAAAQ", "Four Aces"},
+    {"AAAAJ", "Four Aces"},
+    {"AAAAT", "Four Aces"},
+    {"AAAA9", "Four Aces"},
+    {"AAAA8", "Four Aces"},
+    {"AAAA7", "Four Aces"},
+    {"AAAA6", "Four Aces"},
+    {"AAAA5", "Four Aces"},
+    {"AAAA4", "Four Aces"},
+    {"AAAA3", "Four Aces"},
+    {"AAAA2", "Four Aces"},
+    {"KKKKA", "Four Kings"},
+    {"KKKKQ", "Four Kings"},
+    {"KKKKJ", "Four Kings"},
+    {"KKKKT", "Four Kings"},
+    {"KKKK9", "Four Kings"},
+    {"KKKK8", "Four Kings"},
+    {"KKKK7", "Four Kings"},
+    {"KKKK6", "Four Kings"},
+    {"KKKK5", "Four Kings"},
+    {"KKKK4", "Four Kings"},
+    {"KKKK3", "Four Kings"},
+    {"KKKK2", "Four Kings"},
+    {"QQQQA", "Four Queens"},
+    {"QQQQK", "Four Queens"},
+    {"QQQQJ", "Four Queens"},
+    {"QQQQT", "Four Queens"},
+    {"QQQQ9", "Four Queens"},
+    {"QQQQ8", "Four Queens"},
+    {"QQQQ7", "Four Queens"},
+    {"QQQQ6", "Four Queens"},
+    {"QQQQ5", "Four Queens"},
+    {"QQQQ4", "Four Queens"},
+    {"QQQQ3", "Four Queens"},
+    {"QQQQ2", "Four Queens"},
+    {"JJJJA", "Four Jacks"},
+    {"JJJJK", "Four Jacks"},
+    {"JJJJQ", "Four Jacks"},
+    {"JJJJT", "Four Jacks"},
+    {"JJJJ9", "Four Jacks"},
+    {"JJJJ8", "Four Jacks"},
+    {"JJJJ7", "Four Jacks"},
+    {"JJJJ6", "Four Jacks"},
+    {"JJJJ5", "Four Jacks"},
+    {"JJJJ4", "Four Jacks"},
+    {"JJJJ3", "Four Jacks"},
+    {"JJJJ2", "Four Jacks"},
+    {"TTTTA", "Four Tens"},
+    {"TTTTK", "Four Tens"},
+    {"TTTTQ", "Four Tens"},
+    {"TTTTJ", "Four Tens"},
+    {"TTTT9", "Four Tens"},
+    {"TTTT8", "Four Tens"},
+    {"TTTT7", "Four Tens"},
+    {"TTTT6", "Four Tens"},
+    {"TTTT5", "Four Tens"},
+    {"TTTT4", "Four Tens"},
+    {"TTTT3", "Four Tens"},
+    {"TTTT2", "Four Tens"},
+    {"9999A", "Four Nines"},
+    {"9999K", "Four Nines"},
+    {"9999Q", "Four Nines"},
+    {"9999J", "Four Nines"},
+    {"9999T", "Four Nines"},
+    {"99998", "Four Nines"},
+    {"99997", "Four Nines"},
+    {"99996", "Four Nines"},
+    {"99995", "Four Nines"},
+    {"99994", "Four Nines"},
+    {"99993", "Four Nines"},
+    {"99992", "Four Nines"},
+    {"8888A", "Four Eights"},
+    {"8888K", "Four Eights"},
+    {"8888Q", "Four Eights"},
+    {"8888J", "Four Eights"},
+    {"8888T", "Four Eights"},
+    {"88889", "Four Eights"},
+    {"88887", "Four Eights"},
+    {"88886", "Four Eights"},
+    {"88885", "Four Eights"},
+    {"88884", "Four Eights"},
+    {"88883", "Four Eights"},
+    {"88882", "Four Eights"},
+    {"7777A", "Four Sevens"},
+    {"7777K", "Four Sevens"},
+    {"7777Q", "Four Sevens"},
+    {"7777J", "Four Sevens"},
+    {"7777T", "Four Sevens"},
+    {"77779", "Four Sevens"},
+    {"77778", "Four Sevens"},
+    {"77776", "Four Sevens"},
+    {"77775", "Four Sevens"},
+    {"77774", "Four Sevens"},
+    {"77773", "Four Sevens"},
+    {"77772", "Four Sevens"},
+    {"6666A", "Four Sixes"},
+    {"6666K", "Four Sixes"},
+    {"6666Q", "Four Sixes"},
+    {"6666J", "Four Sixes"},
+    {"6666T", "Four Sixes"},
+    {"66669", "Four Sixes"},
+    {"66668", "Four Sixes"},
+    {"66667", "Four Sixes"},
+    {"66665", "Four Sixes"},
+    {"66664", "Four Sixes"},
+    {"66663", "Four Sixes"},
+    {"66662", "Four Sixes"},
+    {"5555A", "Four Fives"},
+    {"5555K", "Four Fives"},
+    {"5555Q", "Four Fives"},
+    {"5555J", "Four Fives"},
+    {"5555T", "Four Fives"},
+    {"55559", "Four Fives"},
+    {"55558", "Four Fives"},
+    {"55557", "Four Fives"},
+    {"55556", "Four Fives"},
+    {"55554", "Four Fives"},
+    {"55553", "Four Fives"},
+    {"55552", "Four Fives"},
+    {"4444A", "Four Fours"},
+    {"4444K", "Four Fours"},
+    {"4444Q", "Four Fours"},
+    {"4444J", "Four Fours"},
+    {"4444T", "Four Fours"},
+    {"44449", "Four Fours"},
+    {"44448", "Four Fours"},
+    {"44447", "Four Fours"},
+    {"44446", "Four Fours"},
+    {"44445", "Four Fours"},
+    {"44443", "Four Fours"},
+    {"44442", "Four Fours"},
+    {"3333A", "Four Treys"},
+    {"3333K", "Four Treys"},
+    {"3333Q", "Four Treys"},
+    {"3333J", "Four Treys"},
+    {"3333T", "Four Treys"},
+    {"33339", "Four Treys"},
+    {"33338", "Four Treys"},
+    {"33337", "Four Treys"},
+    {"33336", "Four Treys"},
+    {"33335", "Four Treys"},
+    {"33334", "Four Treys"},
+    {"33332", "Four Treys"},
+    {"2222A", "Four Deuces"},
+    {"2222K", "Four Deuces"},
+    {"2222Q", "Four Deuces"},
+    {"2222J", "Four Deuces"},
+    {"2222T", "Four Deuces"},
+    {"22229", "Four Deuces"},
+    {"22228", "Four Deuces"},
+    {"22227", "Four Deuces"},
+    {"22226", "Four Deuces"},
+    {"22225", "Four Deuces"},
+    {"22224", "Four Deuces"},
+    {"22223", "Four Deuces"},
+    {"AAAKK", "Aces Full over Kings"},
+    {"AAAQQ", "Aces Full over Queens"},
+    {"AAAJJ", "Aces Full over Jacks"},
+    {"AAATT", "Aces Full over Tens"},
+    {"AAA99", "Aces Full over Nines"},
+    {"AAA88", "Aces Full over Eights"},
+    {"AAA77", "Aces Full over Sevens"},
+    {"AAA66", "Aces Full over Sixes"},
+    {"AAA55", "Aces Full over Fives"},
+    {"AAA44", "Aces Full over Fours"},
+    {"AAA33", "Aces Full over Treys"},
+    {"AAA22", "Aces Full over Deuces"},
+    {"KKKAA", "Kings Full over Aces"},
+    {"KKKQQ", "Kings Full over Queens"},
+    {"KKKJJ", "Kings Full over Jacks"},
+    {"KKKTT", "Kings Full over Tens"},
+    {"KKK99", "Kings Full over Nines"},
+    {"KKK88", "Kings Full over Eights"},
+    {"KKK77", "Kings Full over Sevens"},
+    {"KKK66", "Kings Full over Sixes"},
+    {"KKK55", "Kings Full over Fives"},
+    {"KKK44", "Kings Full over Fours"},
+    {"KKK33", "Kings Full over Treys"},
+    {"KKK22", "Kings Full over Deuces"},
+    {"QQQAA", "Queens Full over Aces"},
+    {"QQQKK", "Queens Full over Kings"},
+    {"QQQJJ", "Queens Full over Jacks"},
+    {"QQQTT", "Queens Full over Tens"},
+    {"QQQ99", "Queens Full over Nines"},
+    {"QQQ88", "Queens Full over Eights"},
+    {"QQQ77", "Queens Full over Sevens"},
+    {"QQQ66", "Queens Full over Sixes"},
+    {"QQQ55", "Queens Full over Fives"},
+    {"QQQ44", "Queens Full over Fours"},
+    {"QQQ33", "Queens Full over Treys"},
+    {"QQQ22", "Queens Full over Deuces"},
+    {"JJJAA", "Jacks Full over Aces"},
+    {"JJJKK", "Jacks Full over Kings"},
+    {"JJJQQ", "Jacks Full over Queens"},
+    {"JJJTT", "Jacks Full over Tens"},
+    {"JJJ99", "Jacks Full over Nines"},
+    {"JJJ88", "Jacks Full over Eights"},
+    {"JJJ77", "Jacks Full over Sevens"},
+    {"JJJ66", "Jacks Full over Sixes"},
+    {"JJJ55", "Jacks Full over Fives"},
+    {"JJJ44", "Jacks Full over Fours"},
+    {"JJJ33", "Jacks Full over Treys"},
+    {"JJJ22", "Jacks Full over Deuces"},
+    {"TTTAA", "Tens Full over Aces"},
+    {"TTTKK", "Tens Full over Kings"},
+    {"TTTQQ", "Tens Full over Queens"},
+    {"TTTJJ", "Tens Full over Jacks"},
+    {"TTT99", "Tens Full over Nines"},
+    {"TTT88", "Tens Full over Eights"},
+    {"TTT77", "Tens Full over Sevens"},
+    {"TTT66", "Tens Full over Sixes"},
+    {"TTT55", "Tens Full over Fives"},
+    {"TTT44", "Tens Full over Fours"},
+    {"TTT33", "Tens Full over Treys"},
+    {"TTT22", "Tens Full over Deuces"},
+    {"999AA", "Nines Full over Aces"},
+    {"999KK", "Nines Full over Kings"},
+    {"999QQ", "Nines Full over Queens"},
+    {"999JJ", "Nines Full over Jacks"},
+    {"999TT", "Nines Full over Tens"},
+    {"99988", "Nines Full over Eights"},
+    {"99977", "Nines Full over Sevens"},
+    {"99966", "Nines Full over Sixes"},
+    {"99955", "Nines Full over Fives"},
+    {"99944", "Nines Full over Fours"},
+    {"99933", "Nines Full over Treys"},
+    {"99922", "Nines Full over Deuces"},
+    {"888AA", "Eights Full over Aces"},
+    {"888KK", "Eights Full over Kings"},
+    {"888QQ", "Eights Full over Queens"},
+    {"888JJ", "Eights Full over Jacks"},
+    {"888TT", "Eights Full over Tens"},
+    {"88899", "Eights Full over Nines"},
+    {"88877", "Eights Full over Sevens"},
+    {"88866", "Eights Full over Sixes"},
+    {"88855", "Eights Full over Fives"},
+    {"88844", "Eights Full over Fours"},
+    {"88833", "Eights Full over Treys"},
+    {"88822", "Eights Full over Deuces"},
+    {"777AA", "Sevens Full over Aces"},
+    {"777KK", "Sevens Full over Kings"},
+    {"777QQ", "Sevens Full over Queens"},
+    {"777JJ", "Sevens Full over Jacks"},
+    {"777TT", "Sevens Full over Tens"},
+    {"77799", "Sevens Full over Nines"},
+    {"77788", "Sevens Full over Eights"},
+    {"77766", "Sevens Full over Sixes"},
+    {"77755", "Sevens Full over Fives"},
+    {"77744", "Sevens Full over Fours"},
+    {"77733", "Sevens Full over Treys"},
+    {"77722", "Sevens Full over Deuces"},
+    {"666AA", "Sixes Full over Aces"},
+    {"666KK", "Sixes Full over Kings"},
+    {"666QQ", "Sixes Full over Queens"},
+    {"666JJ", "Sixes Full over Jacks"},
+    {"666TT", "Sixes Full over Tens"},
+    {"66699", "Sixes Full over Nines"},
+    {"66688", "Sixes Full over Eights"},
+    {"66677", "Sixes Full over Sevens"},
+    {"66655", "Sixes Full over Fives"},
+    {"66644", "Sixes Full over Fours"},
+    {"66633", "Sixes Full over Treys"},
+    {"66622", "Sixes Full over Deuces"},
+    {"555AA", "Fives Full over Aces"},
+    {"555KK", "Fives Full over Kings"},
+    {"555QQ", "Fives Full over Queens"},
+    {"555JJ", "Fives Full over Jacks"},
+    {"555TT", "Fives Full over Tens"},
+    {"55599", "Fives Full over Nines"},
+    {"55588", "Fives Full over Eights"},
+    {"55577", "Fives Full over Sevens"},
+    {"55566", "Fives Full over Sixes"},
+    {"55544", "Fives Full over Fours"},
+    {"55533", "Fives Full over Treys"},
+    {"55522", "Fives Full over Deuces"},
+    {"444AA", "Fours Full over Aces"},
+    {"444KK", "Fours Full over Kings"},
+    {"444QQ", "Fours Full over Queens"},
+    {"444JJ", "Fours Full over Jacks"},
+    {"444TT", "Fours Full over Tens"},
+    {"44499", "Fours Full over Nines"},
+    {"44488", "Fours Full over Eights"},
+    {"44477", "Fours Full over Sevens"},
+    {"44466", "Fours Full over Sixes"},
+    {"44455", "Fours Full over Fives"},
+    {"44433", "Fours Full over Treys"},
+    {"44422", "Fours Full over Deuces"},
+    {"333AA", "Treys Full over Aces"},
+    {"333KK", "Treys Full over Kings"},
+    {"333QQ", "Treys Full over Queens"},
+    {"333JJ", "Treys Full over Jacks"},
+    {"333TT", "Treys Full over Tens"},
+    {"33399", "Treys Full over Nines"},
+    {"33388", "Treys Full over Eights"},
+    {"33377", "Treys Full over Sevens"},
+    {"33366", "Treys Full over Sixes"},
+    {"33355", "Treys Full over Fives"},
+    {"33344", "Treys Full over Fours"},
+    {"33322", "Treys Full over Deuces"},
+    {"222AA", "Deuces Full over Aces"},
+    {"222KK", "Deuces Full over Kings"},
+    {"222QQ", "Deuces Full over Queens"},
+    {"222JJ", "Deuces Full over Jacks"},
+    {"222TT", "Deuces Full over Tens"},
+    {"22299", "Deuces Full over Nines"},
+    {"22288", "Deuces Full over Eights"},
+    {"22277", "Deuces Full over Sevens"},
+    {"22266", "Deuces Full over Sixes"},
+    {"22255", "Deuces Full over Fives"},
+    {"22244", "Deuces Full over Fours"},
+    {"22233", "Deuces Full over Treys"},
+    {"AKQJ9", "Ace-High Flush"},
+    {"AKQJ8", "Ace-High Flush"},
+    {"AKQJ7", "Ace-High Flush"},
+    {"AKQJ6", "Ace-High Flush"},
+    {"AKQJ5", "Ace-High Flush"},
+    {"AKQJ4", "Ace-High Flush"},
+    {"AKQJ3", "Ace-High Flush"},
+    {"AKQJ2", "Ace-High Flush"},
+    {"AKQT9", "Ace-High Flush"},
+    {"AKQT8", "Ace-High Flush"},
+    {"AKQT7", "Ace-High Flush"},
+    {"AKQT6", "Ace-High Flush"},
+    {"AKQT5", "Ace-High Flush"},
+    {"AKQT4", "Ace-High Flush"},
+    {"AKQT3", "Ace-High Flush"},
+    {"AKQT2", "Ace-High Flush"},
+    {"AKQ98", "Ace-High Flush"},
+    {"AKQ97", "Ace-High Flush"},
+    {"AKQ96", "Ace-High Flush"},
+    {"AKQ95", "Ace-High Flush"},
+    {"AKQ94", "Ace-High Flush"},
+    {"AKQ93", "Ace-High Flush"},
+    {"AKQ92", "Ace-High Flush"},
+    {"AKQ87", "Ace-High Flush"},
+    {"AKQ86", "Ace-High Flush"},
+    {"AKQ85", "Ace-High Flush"},
+    {"AKQ84", "Ace-High Flush"},
+    {"AKQ83", "Ace-High Flush"},
+    {"AKQ82", "Ace-High Flush"},
+    {"AKQ76", "Ace-High Flush"},
+    {"AKQ75", "Ace-High Flush"},
+    {"AKQ74", "Ace-High Flush"},
+    {"AKQ73", "Ace-High Flush"},
+    {"AKQ72", "Ace-High Flush"},
+    {"AKQ65", "Ace-High Flush"},
+    {"AKQ64", "Ace-High Flush"},
+    {"AKQ63", "Ace-High Flush"},
+    {"AKQ62", "Ace-High Flush"},
+    {"AKQ54", "Ace-High Flush"},
+    {"AKQ53", "Ace-High Flush"},
+    {"AKQ52", "Ace-High Flush"},
+    {"AKQ43", "Ace-High Flush"},
+    {"AKQ42", "Ace-High Flush"},
+    {"AKQ32", "Ace-High Flush"},
+    {"AKJT9", "Ace-High Flush"},
+    {"AKJT8", "Ace-High Flush"},
+    {"AKJT7", "Ace-High Flush"},
+    {"AKJT6", "Ace-High Flush"},
+    {"AKJT5", "Ace-High Flush"},
+    {"AKJT4", "Ace-High Flush"},
+    {"AKJT3", "Ace-High Flush"},
+    {"AKJT2", "Ace-High Flush"},
+    {"AKJ98", "Ace-High Flush"},
+    {"AKJ97", "Ace-High Flush"},
+    {"AKJ96", "Ace-High Flush"},
+    {"AKJ95", "Ace-High Flush"},
+    {"AKJ94", "Ace-High Flush"},
+    {"AKJ93", "Ace-High Flush"},
+    {"AKJ92", "Ace-High Flush"},
+    {"AKJ87", "Ace-High Flush"},
+    {"AKJ86", "Ace-High Flush"},
+    {"AKJ85", "Ace-High Flush"},
+    {"AKJ84", "Ace-High Flush"},
+    {"AKJ83", "Ace-High Flush"},
+    {"AKJ82", "Ace-High Flush"},
+    {"AKJ76", "Ace-High Flush"},
+    {"AKJ75", "Ace-High Flush"},
+    {"AKJ74", "Ace-High Flush"},
+    {"AKJ73", "Ace-High Flush"},
+    {"AKJ72", "Ace-High Flush"},
+    {"AKJ65", "Ace-High Flush"},
+    {"AKJ64", "Ace-High Flush"},
+    {"AKJ63", "Ace-High Flush"},
+    {"AKJ62", "Ace-High Flush"},
+    {"AKJ54", "Ace-High Flush"},
+    {"AKJ53", "Ace-High Flush"},
+    {"AKJ52", "Ace-High Flush"},
+    {"AKJ43", "Ace-High Flush"},
+    {"AKJ42", "Ace-High Flush"},
+    {"AKJ32", "Ace-High Flush"},
+    {"AKT98", "Ace-High Flush"},
+    {"AKT97", "Ace-High Flush"},
+    {"AKT96", "Ace-High Flush"},
+    {"AKT95", "Ace-High Flush"},
+    {"AKT94", "Ace-High Flush"},
+    {"AKT93", "Ace-High Flush"},
+    {"AKT92", "Ace-High Flush"},
+    {"AKT87", "Ace-High Flush"},
+    {"AKT86", "Ace-High Flush"},
+    {"AKT85", "Ace-High Flush"},
+    {"AKT84", "Ace-High Flush"},
+    {"AKT83", "Ace-High Flush"},
+    {"AKT82", "Ace-High Flush"},
+    {"AKT76", "Ace-High Flush"},
+    {"AKT75", "Ace-High Flush"},
+    {"AKT74", "Ace-High Flush"},
+    {"AKT73", "Ace-High Flush"},
+    {"AKT72", "Ace-High Flush"},
+    {"AKT65", "Ace-High Flush"},
+    {"AKT64", "Ace-High Flush"},
+    {"AKT63", "Ace-High Flush"},
+    {"AKT62", "Ace-High Flush"},
+    {"AKT54", "Ace-High Flush"},
+    {"AKT53", "Ace-High Flush"},
+    {"AKT52", "Ace-High Flush"},
+    {"AKT43", "Ace-High Flush"},
+    {"AKT42", "Ace-High Flush"},
+    {"AKT32", "Ace-High Flush"},
+    {"AK987", "Ace-High Flush"},
+    {"AK986", "Ace-High Flush"},
+    {"AK985", "Ace-High Flush"},
+    {"AK984", "Ace-High Flush"},
+    {"AK983", "Ace-High Flush"},
+    {"AK982", "Ace-High Flush"},
+    {"AK976", "Ace-High Flush"},
+    {"AK975", "Ace-High Flush"},
+    {"AK974", "Ace-High Flush"},
+    {"AK973", "Ace-High Flush"},
+    {"AK972", "Ace-High Flush"},
+    {"AK965", "Ace-High Flush"},
+    {"AK964", "Ace-High Flush"},
+    {"AK963", "Ace-High Flush"},
+    {"AK962", "Ace-High Flush"},
+    {"AK954", "Ace-High Flush"},
+    {"AK953", "Ace-High Flush"},
+    {"AK952", "Ace-High Flush"},
+    {"AK943", "Ace-High Flush"},
+    {"AK942", "Ace-High Flush"},
+    {"AK932", "Ace-High Flush"},
+    {"AK876", "Ace-High Flush"},
+    {"AK875", "Ace-High Flush"},
+    {"AK874", "Ace-High Flush"},
+    {"AK873", "Ace-High Flush"},
+    {"AK872", "Ace-High Flush"},
+    {"AK865", "Ace-High Flush"},
+    {"AK864", "Ace-High Flush"},
+    {"AK863", "Ace-High Flush"},
+    {"AK862", "Ace-High Flush"},
+    {"AK854", "Ace-High Flush"},
+    {"AK853", "Ace-High Flush"},
+    {"AK852", "Ace-High Flush"},
+    {"AK843", "Ace-High Flush"},
+    {"AK842", "Ace-High Flush"},
+    {"AK832", "Ace-High Flush"},
+    {"AK765", "Ace-High Flush"},
+    {"AK764", "Ace-High Flush"},
+    {"AK763", "Ace-High Flush"},
+    {"AK762", "Ace-High Flush"},
+    {"AK754", "Ace-High Flush"},
+    {"AK753", "Ace-High Flush"},
+    {"AK752", "Ace-High Flush"},
+    {"AK743", "Ace-High Flush"},
+    {"AK742", "Ace-High Flush"},
+    {"AK732", "Ace-High Flush"},
+    {"AK654", "Ace-High Flush"},
+    {"AK653", "Ace-High Flush"},
+    {"AK652", "Ace-High Flush"},
+    {"AK643", "Ace-High Flush"},
+    {"AK642", "Ace-High Flush"},
+    {"AK632", "Ace-High Flush"},
+    {"AK543", "Ace-High Flush"},
+    {"AK542", "Ace-High Flush"},
+    {"AK532", "Ace-High Flush"},
+    {"AK432", "Ace-High Flush"},
+    {"AQJT9", "Ace-High Flush"},
+    {"AQJT8", "Ace-High Flush"},
+    {"AQJT7", "Ace-High Flush"},
+    {"AQJT6", "Ace-High Flush"},
+    {"AQJT5", "Ace-High Flush"},
+    {"AQJT4", "Ace-High Flush"},
+    {"AQJT3", "Ace-High Flush"},
+    {"AQJT2", "Ace-High Flush"},
+    {"AQJ98", "Ace-High Flush"},
+    {"AQJ97", "Ace-High Flush"},
+    {"AQJ96", "Ace-High Flush"},
+    {"AQJ95", "Ace-High Flush"},
+    {"AQJ94", "Ace-High Flush"},
+    {"AQJ93", "Ace-High Flush"},
+    {"AQJ92", "Ace-High Flush"},
+    {"AQJ87", "Ace-High Flush"},
+    {"AQJ86", "Ace-High Flush"},
+    {"AQJ85", "Ace-High Flush"},
+    {"AQJ84", "Ace-High Flush"},
+    {"AQJ83", "Ace-High Flush"},
+    {"AQJ82", "Ace-High Flush"},
+    {"AQJ76", "Ace-High Flush"},
+    {"AQJ75", "Ace-High Flush"},
+    {"AQJ74", "Ace-High Flush"},
+    {"AQJ73", "Ace-High Flush"},
+    {"AQJ72", "Ace-High Flush"},
+    {"AQJ65", "Ace-High Flush"},
+    {"AQJ64", "Ace-High Flush"},
+    {"AQJ63", "Ace-High Flush"},
+    {"AQJ62", "Ace-High Flush"},
+    {"AQJ54", "Ace-High Flush"},
+    {"AQJ53", "Ace-High Flush"},
+    {"AQJ52", "Ace-High Flush"},
+    {"AQJ43", "Ace-High Flush"},
+    {"AQJ42", "Ace-High Flush"},
+    {"AQJ32", "Ace-High Flush"},
+    {"AQT98", "Ace-High Flush"},
+    {"AQT97", "Ace-High Flush"},
+    {"AQT96", "Ace-High Flush"},
+    {"AQT95", "Ace-High Flush"},
+    {"AQT94", "Ace-High Flush"},
+    {"AQT93", "Ace-High Flush"},
+    {"AQT92", "Ace-High Flush"},
+    {"AQT87", "Ace-High Flush"},
+    {"AQT86", "Ace-High Flush"},
+    {"AQT85", "Ace-High Flush"},
+    {"AQT84", "Ace-High Flush"},
+    {"AQT83", "Ace-High Flush"},
+    {"AQT82", "Ace-High Flush"},
+    {"AQT76", "Ace-High Flush"},
+    {"AQT75", "Ace-High Flush"},
+    {"AQT74", "Ace-High Flush"},
+    {"AQT73", "Ace-High Flush"},
+    {"AQT72", "Ace-High Flush"},
+    {"AQT65", "Ace-High Flush"},
+    {"AQT64", "Ace-High Flush"},
+    {"AQT63", "Ace-High Flush"},
+    {"AQT62", "Ace-High Flush"},
+    {"AQT54", "Ace-High Flush"},
+    {"AQT53", "Ace-High Flush"},
+    {"AQT52", "Ace-High Flush"},
+    {"AQT43", "Ace-High Flush"},
+    {"AQT42", "Ace-High Flush"},
+    {"AQT32", "Ace-High Flush"},
+    {"AQ987", "Ace-High Flush"},
+    {"AQ986", "Ace-High Flush"},
+    {"AQ985", "Ace-High Flush"},
+    {"AQ984", "Ace-High Flush"},
+    {"AQ983", "Ace-High Flush"},
+    {"AQ982", "Ace-High Flush"},
+    {"AQ976", "Ace-High Flush"},
+    {"AQ975", "Ace-High Flush"},
+    {"AQ974", "Ace-High Flush"},
+    {"AQ973", "Ace-High Flush"},
+    {"AQ972", "Ace-High Flush"},
+    {"AQ965", "Ace-High Flush"},
+    {"AQ964", "Ace-High Flush"},
+    {"AQ963", "Ace-High Flush"},
+    {"AQ962", "Ace-High Flush"},
+    {"AQ954", "Ace-High Flush"},
+    {"AQ953", "Ace-High Flush"},
+    {"AQ952", "Ace-High Flush"},
+    {"AQ943", "Ace-High Flush"},
+    {"AQ942", "Ace-High Flush"},
+    {"AQ932", "Ace-High Flush"},
+    {"AQ876", "Ace-High Flush"},
+    {"AQ875", "Ace-High Flush"},
+    {"AQ874", "Ace-High Flush"},
+    {"AQ873", "Ace-High Flush"},
+    {"AQ872", "Ace-High Flush"},
+    {"AQ865", "Ace-High Flush"},
+    {"AQ864", "Ace-High Flush"},
+    {"AQ863", "Ace-High Flush"},
+    {"AQ862", "Ace-High Flush"},
+    {"AQ854", "Ace-High Flush"},
+    {"AQ853", "Ace-High Flush"},
+    {"AQ852", "Ace-High Flush"},
+    {"AQ843", "Ace-High Flush"},
+    {"AQ842", "Ace-High Flush"},
+    {"AQ832", "Ace-High Flush"},
+    {"AQ765", "Ace-High Flush"},
+    {"AQ764", "Ace-High Flush"},
+    {"AQ763", "Ace-High Flush"},
+    {"AQ762", "Ace-High Flush"},
+    {"AQ754", "Ace-High Flush"},
+    {"AQ753", "Ace-High Flush"},
+    {"AQ752", "Ace-High Flush"},
+    {"AQ743", "Ace-High Flush"},
+    {"AQ742", "Ace-High Flush"},
+    {"AQ732", "Ace-High Flush"},
+    {"AQ654", "Ace-High Flush"},
+    {"AQ653", "Ace-High Flush"},
+    {"AQ652", "Ace-High Flush"},
+    {"AQ643", "Ace-High Flush"},
+    {"AQ642", "Ace-High Flush"},
+    {"AQ632", "Ace-High Flush"},
+    {"AQ543", "Ace-High Flush"},
+    {"AQ542", "Ace-High Flush"},
+    {"AQ532", "Ace-High Flush"},
+    {"AQ432", "Ace-High Flush"},
+    {"AJT98", "Ace-High Flush"},
+    {"AJT97", "Ace-High Flush"},
+    {"AJT96", "Ace-High Flush"},
+    {"AJT95", "Ace-High Flush"},
+    {"AJT94", "Ace-High Flush"},
+    {"AJT93", "Ace-High Flush"},
+    {"AJT92", "Ace-High Flush"},
+    {"AJT87", "Ace-High Flush"},
+    {"AJT86", "Ace-High Flush"},
+    {"AJT85", "Ace-High Flush"},
+    {"AJT84", "Ace-High Flush"},
+    {"AJT83", "Ace-High Flush"},
+    {"AJT82", "Ace-High Flush"},
+    {"AJT76", "Ace-High Flush"},
+    {"AJT75", "Ace-High Flush"},
+    {"AJT74", "Ace-High Flush"},
+    {"AJT73", "Ace-High Flush"},
+    {"AJT72", "Ace-High Flush"},
+    {"AJT65", "Ace-High Flush"},
+    {"AJT64", "Ace-High Flush"},
+    {"AJT63", "Ace-High Flush"},
+    {"AJT62", "Ace-High Flush"},
+    {"AJT54", "Ace-High Flush"},
+    {"AJT53", "Ace-High Flush"},
+    {"AJT52", "Ace-High Flush"},
+    {"AJT43", "Ace-High Flush"},
+    {"AJT42", "Ace-High Flush"},
+    {"AJT32", "Ace-High Flush"},
+    {"AJ987", "Ace-High Flush"},
+    {"AJ986", "Ace-High Flush"},
+    {"AJ985", "Ace-High Flush"},
+    {"AJ984", "Ace-High Flush"},
+    {"AJ983", "Ace-High Flush"},
+    {"AJ982", "Ace-High Flush"},
+    {"AJ976", "Ace-High Flush"},
+    {"AJ975", "Ace-High Flush"},
+    {"AJ974", "Ace-High Flush"},
+    {"AJ973", "Ace-High Flush"},
+    {"AJ972", "Ace-High Flush"},
+    {"AJ965", "Ace-High Flush"},
+    {"AJ964", "Ace-High Flush"},
+    {"AJ963", "Ace-High Flush"},
+    {"AJ962", "Ace-High Flush"},
+    {"AJ954", "Ace-High Flush"},
+    {"AJ953", "Ace-High Flush"},
+    {"AJ952", "Ace-High Flush"},
+    {"AJ943", "Ace-High Flush"},
+    {"AJ942", "Ace-High Flush"},
+    {"AJ932", "Ace-High Flush"},
+    {"AJ876", "Ace-High Flush"},
+    {"AJ875", "Ace-High Flush"},
+    {"AJ874", "Ace-High Flush"},
+    {"AJ873", "Ace-High Flush"},
+    {"AJ872", "Ace-High Flush"},
+    {"AJ865", "Ace-High Flush"},
+    {"AJ864", "Ace-High Flush"},
+    {"AJ863", "Ace-High Flush"},
+    {"AJ862", "Ace-High Flush"},
+    {"AJ854", "Ace-High Flush"},
+    {"AJ853", "Ace-High Flush"},
+    {"AJ852", "Ace-High Flush"},
+    {"AJ843", "Ace-High Flush"},
+    {"AJ842", "Ace-High Flush"},
+    {"AJ832", "Ace-High Flush"},
+    {"AJ765", "Ace-High Flush"},
+    {"AJ764", "Ace-High Flush"},
+    {"AJ763", "Ace-High Flush"},
+    {"AJ762", "Ace-High Flush"},
+    {"AJ754", "Ace-High Flush"},
+    {"AJ753", "Ace-High Flush"},
+    {"AJ752", "Ace-High Flush"},
+    {"AJ743", "Ace-High Flush"},
+    {"AJ742", "Ace-High Flush"},
+    {"AJ732", "Ace-High Flush"},
+    {"AJ654", "Ace-High Flush"},
+    {"AJ653", "Ace-High Flush"},
+    {"AJ652", "Ace-High Flush"},
+    {"AJ643", "Ace-High Flush"},
+    {"AJ642", "Ace-High Flush"},
+    {"AJ632", "Ace-High Flush"},
+    {"AJ543", "Ace-High Flush"},
+    {"AJ542", "Ace-High Flush"},
+    {"AJ532", "Ace-High Flush"},
+    {"AJ432", "Ace-High Flush"},
+    {"AT987", "Ace-High Flush"},
+    {"AT986", "Ace-High Flush"},
+    {"AT985", "Ace-High Flush"},
+    {"AT984", "Ace-High Flush"},
+    {"AT983", "Ace-High Flush"},
+    {"AT982", "Ace-High Flush"},
+    {"AT976", "Ace-High Flush"},
+    {"AT975", "Ace-High Flush"},
+    {"AT974", "Ace-High Flush"},
+    {"AT973", "Ace-High Flush"},
+    {"AT972", "Ace-High Flush"},
+    {"AT965", "Ace-High Flush"},
+    {"AT964", "Ace-High Flush"},
+    {"AT963", "Ace-High Flush"},
+    {"AT962", "Ace-High Flush"},
+    {"AT954", "Ace-High Flush"},
+    {"AT953", "Ace-High Flush"},
+    {"AT952", "Ace-High Flush"},
+    {"AT943", "Ace-High Flush"},
+    {"AT942", "Ace-High Flush"},
+    {"AT932", "Ace-High Flush"},
+    {"AT876", "Ace-High Flush"},
+    {"AT875", "Ace-High Flush"},
+    {"AT874", "Ace-High Flush"},
+    {"AT873", "Ace-High Flush"},
+    {"AT872", "Ace-High Flush"},
+    {"AT865", "Ace-High Flush"},
+    {"AT864", "Ace-High Flush"},
+    {"AT863", "Ace-High Flush"},
+    {"AT862", "Ace-High Flush"},
+    {"AT854", "Ace-High Flush"},
+    {"AT853", "Ace-High Flush"},
+    {"AT852", "Ace-High Flush"},
+    {"AT843", "Ace-High Flush"},
+    {"AT842", "Ace-High Flush"},
+    {"AT832", "Ace-High Flush"},
+    {"AT765", "Ace-High Flush"},
+    {"AT764", "Ace-High Flush"},
+    {"AT763", "Ace-High Flush"},
+    {"AT762", "Ace-High Flush"},
+    {"AT754", "Ace-High Flush"},
+    {"AT753", "Ace-High Flush"},
+    {"AT752", "Ace-High Flush"},
+    {"AT743", "Ace-High Flush"},
+    {"AT742", "Ace-High Flush"},
+    {"AT732", "Ace-High Flush"},
+    {"AT654", "Ace-High Flush"},
+    {"AT653", "Ace-High Flush"},
+    {"AT652", "Ace-High Flush"},
+    {"AT643", "Ace-High Flush"},
+    {"AT642", "Ace-High Flush"},
+    {"AT632", "Ace-High Flush"},
+    {"AT543", "Ace-High Flush"},
+    {"AT542", "Ace-High Flush"},
+    {"AT532", "Ace-High Flush"},
+    {"AT432", "Ace-High Flush"},
+    {"A9876", "Ace-High Flush"},
+    {"A9875", "Ace-High Flush"},
+    {"A9874", "Ace-High Flush"},
+    {"A9873", "Ace-High Flush"},
+    {"A9872", "Ace-High Flush"},
+    {"A9865", "Ace-High Flush"},
+    {"A9864", "Ace-High Flush"},
+    {"A9863", "Ace-High Flush"},
+    {"A9862", "Ace-High Flush"},
+    {"A9854", "Ace-High Flush"},
+    {"A9853", "Ace-High Flush"},
+    {"A9852", "Ace-High Flush"},
+    {"A9843", "Ace-High Flush"},
+    {"A9842", "Ace-High Flush"},
+    {"A9832", "Ace-High Flush"},
+    {"A9765", "Ace-High Flush"},
+    {"A9764", "Ace-High Flush"},
+    {"A9763", "Ace-High Flush"},
+    {"A9762", "Ace-High Flush"},
+    {"A9754", "Ace-High Flush"},
+    {"A9753", "Ace-High Flush"},
+    {"A9752", "Ace-High Flush"},
+    {"A9743", "Ace-High Flush"},
+    {"A9742", "Ace-High Flush"},
+    {"A9732", "Ace-High Flush"},
+    {"A9654", "Ace-High Flush"},
+    {"A9653", "Ace-High Flush"},
+    {"A9652", "Ace-High Flush"},
+    {"A9643", "Ace-High Flush"},
+    {"A9642", "Ace-High Flush"},
+    {"A9632", "Ace-High Flush"},
+    {"A9543", "Ace-High Flush"},
+    {"A9542", "Ace-High Flush"},
+    {"A9532", "Ace-High Flush"},
+    {"A9432", "Ace-High Flush"},
+    {"A8765", "Ace-High Flush"},
+    {"A8764", "Ace-High Flush"},
+    {"A8763", "Ace-High Flush"},
+    {"A8762", "Ace-High Flush"},
+    {"A8754", "Ace-High Flush"},
+    {"A8753", "Ace-High Flush"},
+    {"A8752", "Ace-High Flush"},
+    {"A8743", "Ace-High Flush"},
+    {"A8742", "Ace-High Flush"},
+    {"A8732", "Ace-High Flush"},
+    {"A8654", "Ace-High Flush"},
+    {"A8653", "Ace-High Flush"},
+    {"A8652", "Ace-High Flush"},
+    {"A8643", "Ace-High Flush"},
+    {"A8642", "Ace-High Flush"},
+    {"A8632", "Ace-High Flush"},
+    {"A8543", "Ace-High Flush"},
+    {"A8542", "Ace-High Flush"},
+    {"A8532", "Ace-High Flush"},
+    {"A8432", "Ace-High Flush"},
+    {"A7654", "Ace-High Flush"},
+    {"A7653", "Ace-High Flush"},
+    {"A7652", "Ace-High Flush"},
+    {"A7643", "Ace-High Flush"},
+    {"A7642", "Ace-High Flush"},
+    {"A7632", "Ace-High Flush"},
+    {"A7543", "Ace-High Flush"},
+    {"A7542", "Ace-High Flush"},
+    {"A7532", "Ace-High Flush"},
+    {"A7432", "Ace-High Flush"},
+    {"A6543", "Ace-High Flush"},
+    {"A6542", "Ace-High Flush"},
+    {"A6532", "Ace-High Flush"},
+    {"A6432", "Ace-High Flush"},
+    {"KQJT8", "King-High Flush"},
+    {"KQJT7", "King-High Flush"},
+    {"KQJT6", "King-High Flush"},
+    {"KQJT5", "King-High Flush"},
+    {"KQJT4", "King-High Flush"},
+    {"KQJT3", "King-High Flush"},
+    {"KQJT2", "King-High Flush"},
+    {"KQJ98", "King-High Flush"},
+    {"KQJ97", "King-High Flush"},
+    {"KQJ96", "King-High Flush"},
+    {"KQJ95", "King-High Flush"},
+    {"KQJ94", "King-High Flush"},
+    {"KQJ93", "King-High Flush"},
+    {"KQJ92", "King-High Flush"},
+    {"KQJ87", "King-High Flush"},
+    {"KQJ86", "King-High Flush"},
+    {"KQJ85", "King-High Flush"},
+    {"KQJ84", "King-High Flush"},
+    {"KQJ83", "King-High Flush"},
+    {"KQJ82", "King-High Flush"},
+    {"KQJ76", "King-High Flush"},
+    {"KQJ75", "King-High Flush"},
+    {"KQJ74", "King-High Flush"},
+    {"KQJ73", "King-High Flush"},
+    {"KQJ72", "King-High Flush"},
+    {"KQJ65", "King-High Flush"},
+    {"KQJ64", "King-High Flush"},
+    {"KQJ63", "King-High Flush"},
+    {"KQJ62", "King-High Flush"},
+    {"KQJ54", "King-High Flush"},
+    {"KQJ53", "King-High Flush"},
+    {"KQJ52", "King-High Flush"},
+    {"KQJ43", "King-High Flush"},
+    {"KQJ42", "King-High Flush"},
+    {"KQJ32", "King-High Flush"},
+    {"KQT98", "King-High Flush"},
+    {"KQT97", "King-High Flush"},
+    {"KQT96", "King-High Flush"},
+    {"KQT95", "King-High Flush"},
+    {"KQT94", "King-High Flush"},
+    {"KQT93", "King-High Flush"},
+    {"KQT92", "King-High Flush"},
+    {"KQT87", "King-High Flush"},
+    {"KQT86", "King-High Flush"},
+    {"KQT85", "King-High Flush"},
+    {"KQT84", "King-High Flush"},
+    {"KQT83", "King-High Flush"},
+    {"KQT82", "King-High Flush"},
+    {"KQT76", "King-High Flush"},
+    {"KQT75", "King-High Flush"},
+    {"KQT74", "King-High Flush"},
+    {"KQT73", "King-High Flush"},
+    {"KQT72", "King-High Flush"},
+    {"KQT65", "King-High Flush"},
+    {"KQT64", "King-High Flush"},
+    {"KQT63", "King-High Flush"},
+    {"KQT62", "King-High Flush"},
+    {"KQT54", "King-High Flush"},
+    {"KQT53", "King-High Flush"},
+    {"KQT52", "King-High Flush"},
+    {"KQT43", "King-High Flush"},
+    {"KQT42", "King-High Flush"},
+    {"KQT32", "King-High Flush"},
+    {"KQ987", "King-High Flush"},
+    {"KQ986", "King-High Flush"},
+    {"KQ985", "King-High Flush"},
+    {"KQ984", "King-High Flush"},
+    {"KQ983", "King-High Flush"},
+    {"KQ982", "King-High Flush"},
+    {"KQ976", "King-High Flush"},
+    {"KQ975", "King-High Flush"},
+    {"KQ974", "King-High Flush"},
+    {"KQ973", "King-High Flush"},
+    {"KQ972", "King-High Flush"},
+    {"KQ965", "King-High Flush"},
+    {"KQ964", "King-High Flush"},
+    {"KQ963", "King-High Flush"},
+    {"KQ962", "King-High Flush"},
+    {"KQ954", "King-High Flush"},
+    {"KQ953", "King-High Flush"},
+    {"KQ952", "King-High Flush"},
+    {"KQ943", "King-High Flush"},
+    {"KQ942", "King-High Flush"},
+    {"KQ932", "King-High Flush"},
+    {"KQ876", "King-High Flush"},
+    {"KQ875", "King-High Flush"},
+    {"KQ874", "King-High Flush"},
+    {"KQ873", "King-High Flush"},
+    {"KQ872", "King-High Flush"},
+    {"KQ865", "King-High Flush"},
+    {"KQ864", "King-High Flush"},
+    {"KQ863", "King-High Flush"},
+    {"KQ862", "King-High Flush"},
+    {"KQ854", "King-High Flush"},
+    {"KQ853", "King-High Flush"},
+    {"KQ852", "King-High Flush"},
+    {"KQ843", "King-High Flush"},
+    {"KQ842", "King-High Flush"},
+    {"KQ832", "King-High Flush"},
+    {"KQ765", "King-High Flush"},
+    {"KQ764", "King-High Flush"},
+    {"KQ763", "King-High Flush"},
+    {"KQ762", "King-High Flush"},
+    {"KQ754", "King-High Flush"},
+    {"KQ753", "King-High Flush"},
+    {"KQ752", "King-High Flush"},
+    {"KQ743", "King-High Flush"},
+    {"KQ742", "King-High Flush"},
+    {"KQ732", "King-High Flush"},
+    {"KQ654", "King-High Flush"},
+    {"KQ653", "King-High Flush"},
+    {"KQ652", "King-High Flush"},
+    {"KQ643", "King-High Flush"},
+    {"KQ642", "King-High Flush"},
+    {"KQ632", "King-High Flush"},
+    {"KQ543", "King-High Flush"},
+    {"KQ542", "King-High Flush"},
+    {"KQ532", "King-High Flush"},
+    {"KQ432", "King-High Flush"},
+    {"KJT98", "King-High Flush"},
+    {"KJT97", "King-High Flush"},
+    {"KJT96", "King-High Flush"},
+    {"KJT95", "King-High Flush"},
+    {"KJT94", "King-High Flush"},
+    {"KJT93", "King-High Flush"},
+    {"KJT92", "King-High Flush"},
+    {"KJT87", "King-High Flush"},
+    {"KJT86", "King-High Flush"},
+    {"KJT85", "King-High Flush"},
+    {"KJT84", "King-High Flush"},
+    {"KJT83", "King-High Flush"},
+    {"KJT82", "King-High Flush"},
+    {"KJT76", "King-High Flush"},
+    {"KJT75", "King-High Flush"},
+    {"KJT74", "King-High Flush"},
+    {"KJT73", "King-High Flush"},
+    {"KJT72", "King-High Flush"},
+    {"KJT65", "King-High Flush"},
+    {"KJT64", "King-High Flush"},
+    {"KJT63", "King-High Flush"},
+    {"KJT62", "King-High Flush"},
+    {"KJT54", "King-High Flush"},
+    {"KJT53", "King-High Flush"},
+    {"KJT52", "King-High Flush"},
+    {"KJT43", "King-High Flush"},
+    {"KJT42", "King-High Flush"},
+    {"KJT32", "King-High Flush"},
+    {"KJ987", "King-High Flush"},
+    {"KJ986", "King-High Flush"},
+    {"KJ985", "King-High Flush"},
+    {"KJ984", "King-High Flush"},
+    {"KJ983", "King-High Flush"},
+    {"KJ982", "King-High Flush"},
+    {"KJ976", "King-High Flush"},
+    {"KJ975", "King-High Flush"},
+    {"KJ974", "King-High Flush"},
+    {"KJ973", "King-High Flush"},
+    {"KJ972", "King-High Flush"},
+    {"KJ965", "King-High Flush"},
+    {"KJ964", "King-High Flush"},
+    {"KJ963", "King-High Flush"},
+    {"KJ962", "King-High Flush"},
+    {"KJ954", "King-High Flush"},
+    {"KJ953", "King-High Flush"},
+    {"KJ952", "King-High Flush"},
+    {"KJ943", "King-High Flush"},
+    {"KJ942", "King-High Flush"},
+    {"KJ932", "King-High Flush"},
+    {"KJ876", "King-High Flush"},
+    {"KJ875", "King-High Flush"},
+    {"KJ874", "King-High Flush"},
+    {"KJ873", "King-High Flush"},
+    {"KJ872", "King-High Flush"},
+    {"KJ865", "King-High Flush"},
+    {"KJ864", "King-High Flush"},
+    {"KJ863", "King-High Flush"},
+    {"KJ862", "King-High Flush"},
+    {"KJ854", "King-High Flush"},
+    {"KJ853", "King-High Flush"},
+    {"KJ852", "King-High Flush"},
+    {"KJ843", "King-High Flush"},
+    {"KJ842", "King-High Flush"},
+    {"KJ832", "King-High Flush"},
+    {"KJ765", "King-High Flush"},
+    {"KJ764", "King-High Flush"},
+    {"KJ763", "King-High Flush"},
+    {"KJ762", "King-High Flush"},
+    {"KJ754", "King-High Flush"},
+    {"KJ753", "King-High Flush"},
+    {"KJ752", "King-High Flush"},
+    {"KJ743", "King-High Flush"},
+    {"KJ742", "King-High Flush"},
+    {"KJ732", "King-High Flush"},
+    {"KJ654", "King-High Flush"},
+    {"KJ653", "King-High Flush"},
+    {"KJ652", "King-High Flush"},
+    {"KJ643", "King-High Flush"},
+    {"KJ642", "King-High Flush"},
+    {"KJ632", "King-High Flush"},
+    {"KJ543", "King-High Flush"},
+    {"KJ542", "King-High Flush"},
+    {"KJ532", "King-High Flush"},
+    {"KJ432", "King-High Flush"},
+    {"KT987", "King-High Flush"},
+    {"KT986", "King-High Flush"},
+    {"KT985", "King-High Flush"},
+    {"KT984", "King-High Flush"},
+    {"KT983", "King-High Flush"},
+    {"KT982", "King-High Flush"},
+    {"KT976", "King-High Flush"},
+    {"KT975", "King-High Flush"},
+    {"KT974", "King-High Flush"},
+    {"KT973", "King-High Flush"},
+    {"KT972", "King-High Flush"},
+    {"KT965", "King-High Flush"},
+    {"KT964", "King-High Flush"},
+    {"KT963", "King-High Flush"},
+    {"KT962", "King-High Flush"},
+    {"KT954", "King-High Flush"},
+    {"KT953", "King-High Flush"},
+    {"KT952", "King-High Flush"},
+    {"KT943", "King-High Flush"},
+    {"KT942", "King-High Flush"},
+    {"KT932", "King-High Flush"},
+    {"KT876", "King-High Flush"},
+    {"KT875", "King-High Flush"},
+    {"KT874", "King-High Flush"},
+    {"KT873", "King-High Flush"},
+    {"KT872", "King-High Flush"},
+    {"KT865", "King-High Flush"},
+    {"KT864", "King-High Flush"},
+    {"KT863", "King-High Flush"},
+    {"KT862", "King-High Flush"},
+    {"KT854", "King-High Flush"},
+    {"KT853", "King-High Flush"},
+    {"KT852", "King-High Flush"},
+    {"KT843", "King-High Flush"},
+    {"KT842", "King-High Flush"},
+    {"KT832", "King-High Flush"},
+    {"KT765", "King-High Flush"},
+    {"KT764", "King-High Flush"},
+    {"KT763", "King-High Flush"},
+    {"KT762", "King-High Flush"},
+    {"KT754", "King-High Flush"},
+    {"KT753", "King-High Flush"},
+    {"KT752", "King-High Flush"},
+    {"KT743", "King-High Flush"},
+    {"KT742", "King-High Flush"},
+    {"KT732", "King-High Flush"},
+    {"KT654", "King-High Flush"},
+    {"KT653", "King-High Flush"},
+    {"KT652", "King-High Flush"},
+    {"KT643", "King-High Flush"},
+    {"KT642", "King-High Flush"},
+    {"KT632", "King-High Flush"},
+    {"KT543", "King-High Flush"},
+    {"KT542", "King-High Flush"},
+    {"KT532", "King-High Flush"},
+    {"KT432", "King-High Flush"},
+    {"K9876", "King-High Flush"},
+    {"K9875", "King-High Flush"},
+    {"K9874", "King-High Flush"},
+    {"K9873", "King-High Flush"},
+    {"K9872", "King-High Flush"},
+    {"K9865", "King-High Flush"},
+    {"K9864", "King-High Flush"},
+    {"K9863", "King-High Flush"},
+    {"K9862", "King-High Flush"},
+    {"K9854", "King-High Flush"},
+    {"K9853", "King-High Flush"},
+    {"K9852", "King-High Flush"},
+    {"K9843", "King-High Flush"},
+    {"K9842", "King-High Flush"},
+    {"K9832", "King-High Flush"},
+    {"K9765", "King-High Flush"},
+    {"K9764", "King-High Flush"},
+    {"K9763", "King-High Flush"},
+    {"K9762", "King-High Flush"},
+    {"K9754", "King-High Flush"},
+    {"K9753", "King-High Flush"},
+    {"K9752", "King-High Flush"},
+    {"K9743", "King-High Flush"},
+    {"K9742", "King-High Flush"},
+    {"K9732", "King-High Flush"},
+    {"K9654", "King-High Flush"},
+    {"K9653", "King-High Flush"},
+    {"K9652", "King-High Flush"},
+    {"K9643", "King-High Flush"},
+    {"K9642", "King-High Flush"},
+    {"K9632", "King-High Flush"},
+    {"K9543", "King-High Flush"},
+    {"K9542", "King-High Flush"},
+    {"K9532", "King-High Flush"},
+    {"K9432", "King-High Flush"},
+    {"K8765", "King-High Flush"},
+    {"K8764", "King-High Flush"},
+    {"K8763", "King-High Flush"},
+    {"K8762", "King-High Flush"},
+    {"K8754", "King-High Flush"},
+    {"K8753", "King-High Flush"},
+    {"K8752", "King-High Flush"},
+    {"K8743", "King-High Flush"},
+    {"K8742", "King-High Flush"},
+    {"K8732", "King-High Flush"},
+    {"K8654", "King-High Flush"},
+    {"K8653", "King-High Flush"},
+    {"K8652", "King-High Flush"},
+    {"K8643", "King-High Flush"},
+    {"K8642", "King-High Flush"},
+    {"K8632", "King-High Flush"},
+    {"K8543", "King-High Flush"},
+    {"K8542", "King-High Flush"},
+    {"K8532", "King-High Flush"},
+    {"K8432", "King-High Flush"},
+    {"K7654", "King-High Flush"},
+    {"K7653", "King-High Flush"},
+    {"K7652", "King-High Flush"},
+    {"K7643", "King-High Flush"},
+    {"K7642", "King-High Flush"},
+    {"K7632", "King-High Flush"},
+    {"K7543", "King-High Flush"},
+    {"K7542", "King-High Flush"},
+    {"K7532", "King-High Flush"},
+    {"K7432", "King-High Flush"},
+    {"K6543", "King-High Flush"},
+    {"K6542", "King-High Flush"},
+    {"K6532", "King-High Flush"},
+    {"K6432", "King-High Flush"},
+    {"K5432", "King-High Flush"},
+    {"QJT97", "Queen-High Flush"},
+    {"QJT96", "Queen-High Flush"},
+    {"QJT95", "Queen-High Flush"},
+    {"QJT94", "Queen-High Flush"},
+    {"QJT93", "Queen-High Flush"},
+    {"QJT92", "Queen-High Flush"},
+    {"QJT87", "Queen-High Flush"},
+    {"QJT86", "Queen-High Flush"},
+    {"QJT85", "Queen-High Flush"},
+    {"QJT84", "Queen-High Flush"},
+    {"QJT83", "Queen-High Flush"},
+    {"QJT82", "Queen-High Flush"},
+    {"QJT76", "Queen-High Flush"},
+    {"QJT75", "Queen-High Flush"},
+    {"QJT74", "Queen-High Flush"},
+    {"QJT73", "Queen-High Flush"},
+    {"QJT72", "Queen-High Flush"},
+    {"QJT65", "Queen-High Flush"},
+    {"QJT64", "Queen-High Flush"},
+    {"QJT63", "Queen-High Flush"},
+    {"QJT62", "Queen-High Flush"},
+    {"QJT54", "Queen-High Flush"},
+    {"QJT53", "Queen-High Flush"},
+    {"QJT52", "Queen-High Flush"},
+    {"QJT43", "Queen-High Flush"},
+    {"QJT42", "Queen-High Flush"},
+    {"QJT32", "Queen-High Flush"},
+    {"QJ987", "Queen-High Flush"},
+    {"QJ986", "Queen-High Flush"},
+    {"QJ985", "Queen-High Flush"},
+    {"QJ984", "Queen-High Flush"},
+    {"QJ983", "Queen-High Flush"},
+    {"QJ982", "Queen-High Flush"},
+    {"QJ976", "Queen-High Flush"},
+    {"QJ975", "Queen-High Flush"},
+    {"QJ974", "Queen-High Flush"},
+    {"QJ973", "Queen-High Flush"},
+    {"QJ972", "Queen-High Flush"},
+    {"QJ965", "Queen-High Flush"},
+    {"QJ964", "Queen-High Flush"},
+    {"QJ963", "Queen-High Flush"},
+    {"QJ962", "Queen-High Flush"},
+    {"QJ954", "Queen-High Flush"},
+    {"QJ953", "Queen-High Flush"},
+    {"QJ952", "Queen-High Flush"},
+    {"QJ943", "Queen-High Flush"},
+    {"QJ942", "Queen-High Flush"},
+    {"QJ932", "Queen-High Flush"},
+    {"QJ876", "Queen-High Flush"},
+    {"QJ875", "Queen-High Flush"},
+    {"QJ874", "Queen-High Flush"},
+    {"QJ873", "Queen-High Flush"},
+    {"QJ872", "Queen-High Flush"},
+    {"QJ865", "Queen-High Flush"},
+    {"QJ864", "Queen-High Flush"},
+    {"QJ863", "Queen-High Flush"},
+    {"QJ862", "Queen-High Flush"},
+    {"QJ854", "Queen-High Flush"},
+    {"QJ853", "Queen-High Flush"},
+    {"QJ852", "Queen-High Flush"},
+    {"QJ843", "Queen-High Flush"},
+    {"QJ842", "Queen-High Flush"},
+    {"QJ832", "Queen-High Flush"},
+    {"QJ765", "Queen-High Flush"},
+    {"QJ764", "Queen-High Flush"},
+    {"QJ763", "Queen-High Flush"},
+    {"QJ762", "Queen-High Flush"},
+    {"QJ754", "Queen-High Flush"},
+    {"QJ753", "Queen-High Flush"},
+    {"QJ752", "Queen-High Flush"},
+    {"QJ743", "Queen-High Flush"},
+    {"QJ742", "Queen-High Flush"},
+    {"QJ732", "Queen-High Flush"},
+    {"QJ654", "Queen-High Flush"},
+    {"QJ653", "Queen-High Flush"},
+    {"QJ652", "Queen-High Flush"},
+    {"QJ643", "Queen-High Flush"},
+    {"QJ642", "Queen-High Flush"},
+    {"QJ632", "Queen-High Flush"},
+    {"QJ543", "Queen-High Flush"},
+    {"QJ542", "Queen-High Flush"},
+    {"QJ532", "Queen-High Flush"},
+    {"QJ432", "Queen-High Flush"},
+    {"QT987", "Queen-High Flush"},
+    {"QT986", "Queen-High Flush"},
+    {"QT985", "Queen-High Flush"},
+    {"QT984", "Queen-High Flush"},
+    {"QT983", "Queen-High Flush"},
+    {"QT982", "Queen-High Flush"},
+    {"QT976", "Queen-High Flush"},
+    {"QT975", "Queen-High Flush"},
+    {"QT974", "Queen-High Flush"},
+    {"QT973", "Queen-High Flush"},
+    {"QT972", "Queen-High Flush"},
+    {"QT965", "Queen-High Flush"},
+    {"QT964", "Queen-High Flush"},
+    {"QT963", "Queen-High Flush"},
+    {"QT962", "Queen-High Flush"},
+    {"QT954", "Queen-High Flush"},
+    {"QT953", "Queen-High Flush"},
+    {"QT952", "Queen-High Flush"},
+    {"QT943", "Queen-High Flush"},
+    {"QT942", "Queen-High Flush"},
+    {"QT932", "Queen-High Flush"},
+    {"QT876", "Queen-High Flush"},
+    {"QT875", "Queen-High Flush"},
+    {"QT874", "Queen-High Flush"},
+    {"QT873", "Queen-High Flush"},
+    {"QT872", "Queen-High Flush"},
+    {"QT865", "Queen-High Flush"},
+    {"QT864", "Queen-High Flush"},
+    {"QT863", "Queen-High Flush"},
+    {"QT862", "Queen-High Flush"},
+    {"QT854", "Queen-High Flush"},
+    {"QT853", "Queen-High Flush"},
+    {"QT852", "Queen-High Flush"},
+    {"QT843", "Queen-High Flush"},
+    {"QT842", "Queen-High Flush"},
+    {"QT832", "Queen-High Flush"},
+    {"QT765", "Queen-High Flush"},
+    {"QT764", "Queen-High Flush"},
+    {"QT763", "Queen-High Flush"},
+    {"QT762", "Queen-High Flush"},
+    {"QT754", "Queen-High Flush"},
+    {"QT753", "Queen-High Flush"},
+    {"QT752", "Queen-High Flush"},
+    {"QT743", "Queen-High Flush"},
+    {"QT742", "Queen-High Flush"},
+    {"QT732", "Queen-High Flush"},
+    {"QT654", "Queen-High Flush"},
+    {"QT653", "Queen-High Flush"},
+    {"QT652", "Queen-High Flush"},
+    {"QT643", "Queen-High Flush"},
+    {"QT642", "Queen-High Flush"},
+    {"QT632", "Queen-High Flush"},
+    {"QT543", "Queen-High Flush"},
+    {"QT542", "Queen-High Flush"},
+    {"QT532", "Queen-High Flush"},
+    {"QT432", "Queen-High Flush"},
+    {"Q9876", "Queen-High Flush"},
+    {"Q9875", "Queen-High Flush"},
+    {"Q9874", "Queen-High Flush"},
+    {"Q9873", "Queen-High Flush"},
+    {"Q9872", "Queen-High Flush"},
+    {"Q9865", "Queen-High Flush"},
+    {"Q9864", "Queen-High Flush"},
+    {"Q9863", "Queen-High Flush"},
+    {"Q9862", "Queen-High Flush"},
+    {"Q9854", "Queen-High Flush"},
+    {"Q9853", "Queen-High Flush"},
+    {"Q9852", "Queen-High Flush"},
+    {"Q9843", "Queen-High Flush"},
+    {"Q9842", "Queen-High Flush"},
+    {"Q9832", "Queen-High Flush"},
+    {"Q9765", "Queen-High Flush"},
+    {"Q9764", "Queen-High Flush"},
+    {"Q9763", "Queen-High Flush"},
+    {"Q9762", "Queen-High Flush"},
+    {"Q9754", "Queen-High Flush"},
+    {"Q9753", "Queen-High Flush"},
+    {"Q9752", "Queen-High Flush"},
+    {"Q9743", "Queen-High Flush"},
+    {"Q9742", "Queen-High Flush"},
+    {"Q9732", "Queen-High Flush"},
+    {"Q9654", "Queen-High Flush"},
+    {"Q9653", "Queen-High Flush"},
+    {"Q9652", "Queen-High Flush"},
+    {"Q9643", "Queen-High Flush"},
+    {"Q9642", "Queen-High Flush"},
+    {"Q9632", "Queen-High Flush"},
+    {"Q9543", "Queen-High Flush"},
+    {"Q9542", "Queen-High Flush"},
+    {"Q9532", "Queen-High Flush"},
+    {"Q9432", "Queen-High Flush"},
+    {"Q8765", "Queen-High Flush"},
+    {"Q8764", "Queen-High Flush"},
+    {"Q8763", "Queen-High Flush"},
+    {"Q8762", "Queen-High Flush"},
+    {"Q8754", "Queen-High Flush"},
+    {"Q8753", "Queen-High Flush"},
+    {"Q8752", "Queen-High Flush"},
+    {"Q8743", "Queen-High Flush"},
+    {"Q8742", "Queen-High Flush"},
+    {"Q8732", "Queen-High Flush"},
+    {"Q8654", "Queen-High Flush"},
+    {"Q8653", "Queen-High Flush"},
+    {"Q8652", "Queen-High Flush"},
+    {"Q8643", "Queen-High Flush"},
+    {"Q8642", "Queen-High Flush"},
+    {"Q8632", "Queen-High Flush"},
+    {"Q8543", "Queen-High Flush"},
+    {"Q8542", "Queen-High Flush"},
+    {"Q8532", "Queen-High Flush"},
+    {"Q8432", "Queen-High Flush"},
+    {"Q7654", "Queen-High Flush"},
+    {"Q7653", "Queen-High Flush"},
+    {"Q7652", "Queen-High Flush"},
+    {"Q7643", "Queen-High Flush"},
+    {"Q7642", "Queen-High Flush"},
+    {"Q7632", "Queen-High Flush"},
+    {"Q7543", "Queen-High Flush"},
+    {"Q7542", "Queen-High Flush"},
+    {"Q7532", "Queen-High Flush"},
+    {"Q7432", "Queen-High Flush"},
+    {"Q6543", "Queen-High Flush"},
+    {"Q6542", "Queen-High Flush"},
+    {"Q6532", "Queen-High Flush"},
+    {"Q6432", "Queen-High Flush"},
+    {"Q5432", "Queen-High Flush"},
+    {"JT986", "Jack-High Flush"},
+    {"JT985", "Jack-High Flush"},
+    {"JT984", "Jack-High Flush"},
+    {"JT983", "Jack-High Flush"},
+    {"JT982", "Jack-High Flush"},
+    {"JT976", "Jack-High Flush"},
+    {"JT975", "Jack-High Flush"},
+    {"JT974", "Jack-High Flush"},
+    {"JT973", "Jack-High Flush"},
+    {"JT972", "Jack-High Flush"},
+    {"JT965", "Jack-High Flush"},
+    {"JT964", "Jack-High Flush"},
+    {"JT963", "Jack-High Flush"},
+    {"JT962", "Jack-High Flush"},
+    {"JT954", "Jack-High Flush"},
+    {"JT953", "Jack-High Flush"},
+    {"JT952", "Jack-High Flush"},
+    {"JT943", "Jack-High Flush"},
+    {"JT942", "Jack-High Flush"},
+    {"JT932", "Jack-High Flush"},
+    {"JT876", "Jack-High Flush"},
+    {"JT875", "Jack-High Flush"},
+    {"JT874", "Jack-High Flush"},
+    {"JT873", "Jack-High Flush"},
+    {"JT872", "Jack-High Flush"},
+    {"JT865", "Jack-High Flush"},
+    {"JT864", "Jack-High Flush"},
+    {"JT863", "Jack-High Flush"},
+    {"JT862", "Jack-High Flush"},
+    {"JT854", "Jack-High Flush"},
+    {"JT853", "Jack-High Flush"},
+    {"JT852", "Jack-High Flush"},
+    {"JT843", "Jack-High Flush"},
+    {"JT842", "Jack-High Flush"},
+    {"JT832", "Jack-High Flush"},
+    {"JT765", "Jack-High Flush"},
+    {"JT764", "Jack-High Flush"},
+    {"JT763", "Jack-High Flush"},
+    {"JT762", "Jack-High Flush"},
+    {"JT754", "Jack-High Flush"},
+    {"JT753", "Jack-High Flush"},
+    {"JT752", "Jack-High Flush"},
+    {"JT743", "Jack-High Flush"},
+    {"JT742", "Jack-High Flush"},
+    {"JT732", "Jack-High Flush"},
+    {"JT654", "Jack-High Flush"},
+    {"JT653", "Jack-High Flush"},
+    {"JT652", "Jack-High Flush"},
+    {"JT643", "Jack-High Flush"},
+    {"JT642", "Jack-High Flush"},
+    {"JT632", "Jack-High Flush"},
+    {"JT543", "Jack-High Flush"},
+    {"JT542", "Jack-High Flush"},
+    {"JT532", "Jack-High Flush"},
+    {"JT432", "Jack-High Flush"},
+    {"J9876", "Jack-High Flush"},
+    {"J9875", "Jack-High Flush"},
+    {"J9874", "Jack-High Flush"},
+    {"J9873", "Jack-High Flush"},
+    {"J9872", "Jack-High Flush"},
+    {"J9865", "Jack-High Flush"},
+    {"J9864", "Jack-High Flush"},
+    {"J9863", "Jack-High Flush"},
+    {"J9862", "Jack-High Flush"},
+    {"J9854", "Jack-High Flush"},
+    {"J9853", "Jack-High Flush"},
+    {"J9852", "Jack-High Flush"},
+    {"J9843", "Jack-High Flush"},
+    {"J9842", "Jack-High Flush"},
+    {"J9832", "Jack-High Flush"},
+    {"J9765", "Jack-High Flush"},
+    {"J9764", "Jack-High Flush"},
+    {"J9763", "Jack-High Flush"},
+    {"J9762", "Jack-High Flush"},
+    {"J9754", "Jack-High Flush"},
+    {"J9753", "Jack-High Flush"},
+    {"J9752", "Jack-High Flush"},
+    {"J9743", "Jack-High Flush"},
+    {"J9742", "Jack-High Flush"},
+    {"J9732", "Jack-High Flush"},
+    {"J9654", "Jack-High Flush"},
+    {"J9653", "Jack-High Flush"},
+    {"J9652", "Jack-High Flush"},
+    {"J9643", "Jack-High Flush"},
+    {"J9642", "Jack-High Flush"},
+    {"J9632", "Jack-High Flush"},
+    {"J9543", "Jack-High Flush"},
+    {"J9542", "Jack-High Flush"},
+    {"J9532", "Jack-High Flush"},
+    {"J9432", "Jack-High Flush"},
+    {"J8765", "Jack-High Flush"},
+    {"J8764", "Jack-High Flush"},
+    {"J8763", "Jack-High Flush"},
+    {"J8762", "Jack-High Flush"},
+    {"J8754", "Jack-High Flush"},
+    {"J8753", "Jack-High Flush"},
+    {"J8752", "Jack-High Flush"},
+    {"J8743", "Jack-High Flush"},
+    {"J8742", "Jack-High Flush"},
+    {"J8732", "Jack-High Flush"},
+    {"J8654", "Jack-High Flush"},
+    {"J8653", "Jack-High Flush"},
+    {"J8652", "Jack-High Flush"},
+    {"J8643", "Jack-High Flush"},
+    {"J8642", "Jack-High Flush"},
+    {"J8632", "Jack-High Flush"},
+    {"J8543", "Jack-High Flush"},
+    {"J8542", "Jack-High Flush"},
+    {"J8532", "Jack-High Flush"},
+    {"J8432", "Jack-High Flush"},
+    {"J7654", "Jack-High Flush"},
+    {"J7653", "Jack-High Flush"},
+    {"J7652", "Jack-High Flush"},
+    {"J7643", "Jack-High Flush"},
+    {"J7642", "Jack-High Flush"},
+    {"J7632", "Jack-High Flush"},
+    {"J7543", "Jack-High Flush"},
+    {"J7542", "Jack-High Flush"},
+    {"J7532", "Jack-High Flush"},
+    {"J7432", "Jack-High Flush"},
+    {"J6543", "Jack-High Flush"},
+    {"J6542", "Jack-High Flush"},
+    {"J6532", "Jack-High Flush"},
+    {"J6432", "Jack-High Flush"},
+    {"J5432", "Jack-High Flush"},
+    {"T9875", "Ten-High Flush"},
+    {"T9874", "Ten-High Flush"},
+    {"T9873", "Ten-High Flush"},
+    {"T9872", "Ten-High Flush"},
+    {"T9865", "Ten-High Flush"},
+    {"T9864", "Ten-High Flush"},
+    {"T9863", "Ten-High Flush"},
+    {"T9862", "Ten-High Flush"},
+    {"T9854", "Ten-High Flush"},
+    {"T9853", "Ten-High Flush"},
+    {"T9852", "Ten-High Flush"},
+    {"T9843", "Ten-High Flush"},
+    {"T9842", "Ten-High Flush"},
+    {"T9832", "Ten-High Flush"},
+    {"T9765", "Ten-High Flush"},
+    {"T9764", "Ten-High Flush"},
+    {"T9763", "Ten-High Flush"},
+    {"T9762", "Ten-High Flush"},
+    {"T9754", "Ten-High Flush"},
+    {"T9753", "Ten-High Flush"},
+    {"T9752", "Ten-High Flush"},
+    {"T9743", "Ten-High Flush"},
+    {"T9742", "Ten-High Flush"},
+    {"T9732", "Ten-High Flush"},
+    {"T9654", "Ten-High Flush"},
+    {"T9653", "Ten-High Flush"},
+    {"T9652", "Ten-High Flush"},
+    {"T9643", "Ten-High Flush"},
+    {"T9642", "Ten-High Flush"},
+    {"T9632", "Ten-High Flush"},
+    {"T9543", "Ten-High Flush"},
+    {"T9542", "Ten-High Flush"},
+    {"T9532", "Ten-High Flush"},
+    {"T9432", "Ten-High Flush"},
+    {"T8765", "Ten-High Flush"},
+    {"T8764", "Ten-High Flush"},
+    {"T8763", "Ten-High Flush"},
+    {"T8762", "Ten-High Flush"},
+    {"T8754", "Ten-High Flush"},
+    {"T8753", "Ten-High Flush"},
+    {"T8752", "Ten-High Flush"},
+    {"T8743", "Ten-High Flush"},
+    {"T8742", "Ten-High Flush"},
+    {"T8732", "Ten-High Flush"},
+    {"T8654", "Ten-High Flush"},
+    {"T8653", "Ten-High Flush"},
+    {"T8652", "Ten-High Flush"},
+    {"T8643", "Ten-High Flush"},
+    {"T8642", "Ten-High Flush"},
+    {"T8632", "Ten-High Flush"},
+    {"T8543", "Ten-High Flush"},
+    {"T8542", "Ten-High Flush"},
+    {"T8532", "Ten-High Flush"},
+    {"T8432", "Ten-High Flush"},
+    {"T7654", "Ten-High Flush"},
+    {"T7653", "Ten-High Flush"},
+    {"T7652", "Ten-High Flush"},
+    {"T7643", "Ten-High Flush"},
+    {"T7642", "Ten-High Flush"},
+    {"T7632", "Ten-High Flush"},
+    {"T7543", "Ten-High Flush"},
+    {"T7542", "Ten-High Flush"},
+    {"T7532", "Ten-High Flush"},
+    {"T7432", "Ten-High Flush"},
+    {"T6543", "Ten-High Flush"},
+    {"T6542", "Ten-High Flush"},
+    {"T6532", "Ten-High Flush"},
+    {"T6432", "Ten-High Flush"},
+    {"T5432", "Ten-High Flush"},
+    {"98764", "Nine-High Flush"},
+    {"98763", "Nine-High Flush"},
+    {"98762", "Nine-High Flush"},
+    {"98754", "Nine-High Flush"},
+    {"98753", "Nine-High Flush"},
+    {"98752", "Nine-High Flush"},
+    {"98743", "Nine-High Flush"},
+    {"98742", "Nine-High Flush"},
+    {"98732", "Nine-High Flush"},
+    {"98654", "Nine-High Flush"},
+    {"98653", "Nine-High Flush"},
+    {"98652", "Nine-High Flush"},
+    {"98643", "Nine-High Flush"},
+    {"98642", "Nine-High Flush"},
+    {"98632", "Nine-High Flush"},
+    {"98543", "Nine-High Flush"},
+    {"98542", "Nine-High Flush"},
+    {"98532", "Nine-High Flush"},
+    {"98432", "Nine-High Flush"},
+    {"97654", "Nine-High Flush"},
+    {"97653", "Nine-High Flush"},
+    {"97652", "Nine-High Flush"},
+    {"97643", "Nine-High Flush"},
+    {"97642", "Nine-High Flush"},
+    {"97632", "Nine-High Flush"},
+    {"97543", "Nine-High Flush"},
+    {"97542", "Nine-High Flush"},
+    {"97532", "Nine-High Flush"},
+    {"97432", "Nine-High Flush"},
+    {"96543", "Nine-High Flush"},
+    {"96542", "Nine-High Flush"},
+    {"96532", "Nine-High Flush"},
+    {"96432", "Nine-High Flush"},
+    {"95432", "Nine-High Flush"},
+    {"87653", "Eight-High Flush"},
+    {"87652", "Eight-High Flush"},
+    {"87643", "Eight-High Flush"},
+    {"87642", "Eight-High Flush"},
+    {"87632", "Eight-High Flush"},
+    {"87543", "Eight-High Flush"},
+    {"87542", "Eight-High Flush"},
+    {"87532", "Eight-High Flush"},
+    {"87432", "Eight-High Flush"},
+    {"86543", "Eight-High Flush"},
+    {"86542", "Eight-High Flush"},
+    {"86532", "Eight-High Flush"},
+    {"86432", "Eight-High Flush"},
+    {"85432", "Eight-High Flush"},
+    {"76542", "Seven-High Flush"},
+    {"76532", "Seven-High Flush"},
+    {"76432", "Seven-High Flush"},
+    {"75432", "Seven-High Flush"},
+    {"AKQJT", "Ace-High Straight"},
+    {"KQJT9", "King-High Straight"},
+    {"QJT98", "Queen-High Straight"},
+    {"JT987", "Jack-High Straight"},
+    {"T9876", "Ten-High Straight"},
+    {"98765", "Nine-High Straight"},
+    {"87654", "Eight-High Straight"},
+    {"76543", "Seven-High Straight"},
+    {"65432", "Six-High Straight"},
+    {"5432A", "Five-High Straight"},
+    {"AAAKQ", "Three Aces"},
+    {"AAAKJ", "Three Aces"},
+    {"AAAKT", "Three Aces"},
+    {"AAAK9", "Three Aces"},
+    {"AAAK8", "Three Aces"},
+    {"AAAK7", "Three Aces"},
+    {"AAAK6", "Three Aces"},
+    {"AAAK5", "Three Aces"},
+    {"AAAK4", "Three Aces"},
+    {"AAAK3", "Three Aces"},
+    {"AAAK2", "Three Aces"},
+    {"AAAQJ", "Three Aces"},
+    {"AAAQT", "Three Aces"},
+    {"AAAQ9", "Three Aces"},
+    {"AAAQ8", "Three Aces"},
+    {"AAAQ7", "Three Aces"},
+    {"AAAQ6", "Three Aces"},
+    {"AAAQ5", "Three Aces"},
+    {"AAAQ4", "Three Aces"},
+    {"AAAQ3", "Three Aces"},
+    {"AAAQ2", "Three Aces"},
+    {"AAAJT", "Three Aces"},
+    {"AAAJ9", "Three Aces"},
+    {"AAAJ8", "Three Aces"},
+    {"AAAJ7", "Three Aces"},
+    {"AAAJ6", "Three Aces"},
+    {"AAAJ5", "Three Aces"},
+    {"AAAJ4", "Three Aces"},
+    {"AAAJ3", "Three Aces"},
+    {"AAAJ2", "Three Aces"},
+    {"AAAT9", "Three Aces"},
+    {"AAAT8", "Three Aces"},
+    {"AAAT7", "Three Aces"},
+    {"AAAT6", "Three Aces"},
+    {"AAAT5", "Three Aces"},
+    {"AAAT4", "Three Aces"},
+    {"AAAT3", "Three Aces"},
+    {"AAAT2", "Three Aces"},
+    {"AAA98", "Three Aces"},
+    {"AAA97", "Three Aces"},
+    {"AAA96", "Three Aces"},
+    {"AAA95", "Three Aces"},
+    {"AAA94", "Three Aces"},
+    {"AAA93", "Three Aces"},
+    {"AAA92", "Three Aces"},
+    {"AAA87", "Three Aces"},
+    {"AAA86", "Three Aces"},
+    {"AAA85", "Three Aces"},
+    {"AAA84", "Three Aces"},
+    {"AAA83", "Three Aces"},
+    {"AAA82", "Three Aces"},
+    {"AAA76", "Three Aces"},
+    {"AAA75", "Three Aces"},
+    {"AAA74", "Three Aces"},
+    {"AAA73", "Three Aces"},
+    {"AAA72", "Three Aces"},
+    {"AAA65", "Three Aces"},
+    {"AAA64", "Three Aces"},
+    {"AAA63", "Three Aces"},
+    {"AAA62", "Three Aces"},
+    {"AAA54", "Three Aces"},
+    {"AAA53", "Three Aces"},
+    {"AAA52", "Three Aces"},
+    {"AAA43", "Three Aces"},
+    {"AAA42", "Three Aces"},
+    {"AAA32", "Three Aces"},
+    {"KKKAQ", "Three Kings"},
+    {"KKKAJ", "Three Kings"},
+    {"KKKAT", "Three Kings"},
+    {"KKKA9", "Three Kings"},
+    {"KKKA8", "Three Kings"},
+    {"KKKA7", "Three Kings"},
+    {"KKKA6", "Three Kings"},
+    {"KKKA5", "Three Kings"},
+    {"KKKA4", "Three Kings"},
+    {"KKKA3", "Three Kings"},
+    {"KKKA2", "Three Kings"},
+    {"KKKQJ", "Three Kings"},
+    {"KKKQT", "Three Kings"},
+    {"KKKQ9", "Three Kings"},
+    {"KKKQ8", "Three Kings"},
+    {"KKKQ7", "Three Kings"},
+    {"KKKQ6", "Three Kings"},
+    {"KKKQ5", "Three Kings"},
+    {"KKKQ4", "Three Kings"},
+    {"KKKQ3", "Three Kings"},
+    {"KKKQ2", "Three Kings"},
+    {"KKKJT", "Three Kings"},
+    {"KKKJ9", "Three Kings"},
+    {"KKKJ8", "Three Kings"},
+    {"KKKJ7", "Three Kings"},
+    {"KKKJ6", "Three Kings"},
+    {"KKKJ5", "Three Kings"},
+    {"KKKJ4", "Three Kings"},
+    {"KKKJ3", "Three Kings"},
+    {"KKKJ2", "Three Kings"},
+    {"KKKT9", "Three Kings"},
+    {"KKKT8", "Three Kings"},
+    {"KKKT7", "Three Kings"},
+    {"KKKT6", "Three Kings"},
+    {"KKKT5", "Three Kings"},
+    {"KKKT4", "Three Kings"},
+    {"KKKT3", "Three Kings"},
+    {"KKKT2", "Three Kings"},
+    {"KKK98", "Three Kings"},
+    {"KKK97", "Three Kings"},
+    {"KKK96", "Three Kings"},
+    {"KKK95", "Three Kings"},
+    {"KKK94", "Three Kings"},
+    {"KKK93", "Three Kings"},
+    {"KKK92", "Three Kings"},
+    {"KKK87", "Three Kings"},
+    {"KKK86", "Three Kings"},
+    {"KKK85", "Three Kings"},
+    {"KKK84", "Three Kings"},
+    {"KKK83", "Three Kings"},
+    {"KKK82", "Three Kings"},
+    {"KKK76", "Three Kings"},
+    {"KKK75", "Three Kings"},
+    {"KKK74", "Three Kings"},
+    {"KKK73", "Three Kings"},
+    {"KKK72", "Three Kings"},
+    {"KKK65", "Three Kings"},
+    {"KKK64", "Three Kings"},
+    {"KKK63", "Three Kings"},
+    {"KKK62", "Three Kings"},
+    {"KKK54", "Three Kings"},
+    {"KKK53", "Three Kings"},
+    {"KKK52", "Three Kings"},
+    {"KKK43", "Three Kings"},
+    {"KKK42", "Three Kings"},
+    {"KKK32", "Three Kings"},
+    {"QQQAK", "Three Queens"},
+    {"QQQAJ", "Three Queens"},
+    {"QQQAT", "Three Queens"},
+    {"QQQA9", "Three Queens"},
+    {"QQQA8", "Three Queens"},
+    {"QQQA7", "Three Queens"},
+    {"QQQA6", "Three Queens"},
+    {"QQQA5", "Three Queens"},
+    {"QQQA4", "Three Queens"},
+    {"QQQA3", "Three Queens"},
+    {"QQQA2", "Three Queens"},
+    {"QQQKJ", "Three Queens"},
+    {"QQQKT", "Three Queens"},
+    {"QQQK9", "Three Queens"},
+    {"QQQK8", "Three Queens"},
+    {"QQQK7", "Three Queens"},
+    {"QQQK6", "Three Queens"},
+    {"QQQK5", "Three Queens"},
+    {"QQQK4", "Three Queens"},
+    {"QQQK3", "Three Queens"},
+    {"QQQK2", "Three Queens"},
+    {"QQQJT", "Three Queens"},
+    {"QQQJ9", "Three Queens"},
+    {"QQQJ8", "Three Queens"},
+    {"QQQJ7", "Three Queens"},
+    {"QQQJ6", "Three Queens"},
+    {"QQQJ5", "Three Queens"},
+    {"QQQJ4", "Three Queens"},
+    {"QQQJ3", "Three Queens"},
+    {"QQQJ2", "Three Queens"},
+    {"QQQT9", "Three Queens"},
+    {"QQQT8", "Three Queens"},
+    {"QQQT7", "Three Queens"},
+    {"QQQT6", "Three Queens"},
+    {"QQQT5", "Three Queens"},
+    {"QQQT4", "Three Queens"},
+    {"QQQT3", "Three Queens"},
+    {"QQQT2", "Three Queens"},
+    {"QQQ98", "Three Queens"},
+    {"QQQ97", "Three Queens"},
+    {"QQQ96", "Three Queens"},
+    {"QQQ95", "Three Queens"},
+    {"QQQ94", "Three Queens"},
+    {"QQQ93", "Three Queens"},
+    {"QQQ92", "Three Queens"},
+    {"QQQ87", "Three Queens"},
+    {"QQQ86", "Three Queens"},
+    {"QQQ85", "Three Queens"},
+    {"QQQ84", "Three Queens"},
+    {"QQQ83", "Three Queens"},
+    {"QQQ82", "Three Queens"},
+    {"QQQ76", "Three Queens"},
+    {"QQQ75", "Three Queens"},
+    {"QQQ74", "Three Queens"},
+    {"QQQ73", "Three Queens"},
+    {"QQQ72", "Three Queens"},
+    {"QQQ65", "Three Queens"},
+    {"QQQ64", "Three Queens"},
+    {"QQQ63", "Three Queens"},
+    {"QQQ62", "Three Queens"},
+    {"QQQ54", "Three Queens"},
+    {"QQQ53", "Three Queens"},
+    {"QQQ52", "Three Queens"},
+    {"QQQ43", "Three Queens"},
+    {"QQQ42", "Three Queens"},
+    {"QQQ32", "Three Queens"},
+    {"JJJAK", "Three Jacks"},
+    {"JJJAQ", "Three Jacks"},
+    {"JJJAT", "Three Jacks"},
+    {"JJJA9", "Three Jacks"},
+    {"JJJA8", "Three Jacks"},
+    {"JJJA7", "Three Jacks"},
+    {"JJJA6", "Three Jacks"},
+    {"JJJA5", "Three Jacks"},
+    {"JJJA4", "Three Jacks"},
+    {"JJJA3", "Three Jacks"},
+    {"JJJA2", "Three Jacks"},
+    {"JJJKQ", "Three Jacks"},
+    {"JJJKT", "Three Jacks"},
+    {"JJJK9", "Three Jacks"},
+    {"JJJK8", "Three Jacks"},
+    {"JJJK7", "Three Jacks"},
+    {"JJJK6", "Three Jacks"},
+    {"JJJK5", "Three Jacks"},
+    {"JJJK4", "Three Jacks"},
+    {"JJJK3", "Three Jacks"},
+    {"JJJK2", "Three Jacks"},
+    {"JJJQT", "Three Jacks"},
+    {"JJJQ9", "Three Jacks"},
+    {"JJJQ8", "Three Jacks"},
+    {"JJJQ7", "Three Jacks"},
+    {"JJJQ6", "Three Jacks"},
+    {"JJJQ5", "Three Jacks"},
+    {"JJJQ4", "Three Jacks"},
+    {"JJJQ3", "Three Jacks"},
+    {"JJJQ2", "Three Jacks"},
+    {"JJJT9", "Three Jacks"},
+    {"JJJT8", "Three Jacks"},
+    {"JJJT7", "Three Jacks"},
+    {"JJJT6", "Three Jacks"},
+    {"JJJT5", "Three Jacks"},
+    {"JJJT4", "Three Jacks"},
+    {"JJJT3", "Three Jacks"},
+    {"JJJT2", "Three Jacks"},
+    {"JJJ98", "Three Jacks"},
+    {"JJJ97", "Three Jacks"},
+    {"JJJ96", "Three Jacks"},
+    {"JJJ95", "Three Jacks"},
+    {"JJJ94", "Three Jacks"},
+    {"JJJ93", "Three Jacks"},
+    {"JJJ92", "Three Jacks"},
+    {"JJJ87", "Three Jacks"},
+    {"JJJ86", "Three Jacks"},
+    {"JJJ85", "Three Jacks"},
+    {"JJJ84", "Three Jacks"},
+    {"JJJ83", "Three Jacks"},
+    {"JJJ82", "Three Jacks"},
+    {"JJJ76", "Three Jacks"},
+    {"JJJ75", "Three Jacks"},
+    {"JJJ74", "Three Jacks"},
+    {"JJJ73", "Three Jacks"},
+    {"JJJ72", "Three Jacks"},
+    {"JJJ65", "Three Jacks"},
+    {"JJJ64", "Three Jacks"},
+    {"JJJ63", "Three Jacks"},
+    {"JJJ62", "Three Jacks"},
+    {"JJJ54", "Three Jacks"},
+    {"JJJ53", "Three Jacks"},
+    {"JJJ52", "Three Jacks"},
+    {"JJJ43", "Three Jacks"},
+    {"JJJ42", "Three Jacks"},
+    {"JJJ32", "Three Jacks"},
+    {"TTTAK", "Three Tens"},
+    {"TTTAQ", "Three Tens"},
+    {"TTTAJ", "Three Tens"},
+    {"TTTA9", "Three Tens"},
+    {"TTTA8", "Three Tens"},
+    {"TTTA7", "Three Tens"},
+    {"TTTA6", "Three Tens"},
+    {"TTTA5", "Three Tens"},
+    {"TTTA4", "Three Tens"},
+    {"TTTA3", "Three Tens"},
+    {"TTTA2", "Three Tens"},
+    {"TTTKQ", "Three Tens"},
+    {"TTTKJ", "Three Tens"},
+    {"TTTK9", "Three Tens"},
+    {"TTTK8", "Three Tens"},
+    {"TTTK7", "Three Tens"},
+    {"TTTK6", "Three Tens"},
+    {"TTTK5", "Three Tens"},
+    {"TTTK4", "Three Tens"},
+    {"TTTK3", "Three Tens"},
+    {"TTTK2", "Three Tens"},
+    {"TTTQJ", "Three Tens"},
+    {"TTTQ9", "Three Tens"},
+    {"TTTQ8", "Three Tens"},
+    {"TTTQ7", "Three Tens"},
+    {"TTTQ6", "Three Tens"},
+    {"TTTQ5", "Three Tens"},
+    {"TTTQ4", "Three Tens"},
+    {"TTTQ3", "Three Tens"},
+    {"TTTQ2", "Three Tens"},
+    {"TTTJ9", "Three Tens"},
+    {"TTTJ8", "Three Tens"},
+    {"TTTJ7", "Three Tens"},
+    {"TTTJ6", "Three Tens"},
+    {"TTTJ5", "Three Tens"},
+    {"TTTJ4", "Three Tens"},
+    {"TTTJ3", "Three Tens"},
+    {"TTTJ2", "Three Tens"},
+    {"TTT98", "Three Tens"},
+    {"TTT97", "Three Tens"},
+    {"TTT96", "Three Tens"},
+    {"TTT95", "Three Tens"},
+    {"TTT94", "Three Tens"},
+    {"TTT93", "Three Tens"},
+    {"TTT92", "Three Tens"},
+    {"TTT87", "Three Tens"},
+    {"TTT86", "Three Tens"},
+    {"TTT85", "Three Tens"},
+    {"TTT84", "Three Tens"},
+    {"TTT83", "Three Tens"},
+    {"TTT82", "Three Tens"},
+    {"TTT76", "Three Tens"},
+    {"TTT75", "Three Tens"},
+    {"TTT74", "Three Tens"},
+    {"TTT73", "Three Tens"},
+    {"TTT72", "Three Tens"},
+    {"TTT65", "Three Tens"},
+    {"TTT64", "Three Tens"},
+    {"TTT63", "Three Tens"},
+    {"TTT62", "Three Tens"},
+    {"TTT54", "Three Tens"},
+    {"TTT53", "Three Tens"},
+    {"TTT52", "Three Tens"},
+    {"TTT43", "Three Tens"},
+    {"TTT42", "Three Tens"},
+    {"TTT32", "Three Tens"},
+    {"999AK", "Three Nines"},
+    {"999AQ", "Three Nines"},
+    {"999AJ", "Three Nines"},
+    {"999AT", "Three Nines"},
+    {"999A8", "Three Nines"},
+    {"999A7", "Three Nines"},
+    {"999A6", "Three Nines"},
+    {"999A5", "Three Nines"},
+    {"999A4", "Three Nines"},
+    {"999A3", "Three Nines"},
+    {"999A2", "Three Nines"},
+    {"999KQ", "Three Nines"},
+    {"999KJ", "Three Nines"},
+    {"999KT", "Three Nines"},
+    {"999K8", "Three Nines"},
+    {"999K7", "Three Nines"},
+    {"999K6", "Three Nines"},
+    {"999K5", "Three Nines"},
+    {"999K4", "Three Nines"},
+    {"999K3", "Three Nines"},
+    {"999K2", "Three Nines"},
+    {"999QJ", "Three Nines"},
+    {"999QT", "Three Nines"},
+    {"999Q8", "Three Nines"},
+    {"999Q7", "Three Nines"},
+    {"999Q6", "Three Nines"},
+    {"999Q5", "Three Nines"},
+    {"999Q4", "Three Nines"},
+    {"999Q3", "Three Nines"},
+    {"999Q2", "Three Nines"},
+    {"999JT", "Three Nines"},
+    {"999J8", "Three Nines"},
+    {"999J7", "Three Nines"},
+    {"999J6", "Three Nines"},
+    {"999J5", "Three Nines"},
+    {"999J4", "Three Nines"},
+    {"999J3", "Three Nines"},
+    {"999J2", "Three Nines"},
+    {"999T8", "Three Nines"},
+    {"999T7", "Three Nines"},
+    {"999T6", "Three Nines"},
+    {"999T5", "Three Nines"},
+    {"999T4", "Three Nines"},
+    {"999T3", "Three Nines"},
+    {"999T2", "Three Nines"},
+    {"99987", "Three Nines"},
+    {"99986", "Three Nines"},
+    {"99985", "Three Nines"},
+    {"99984", "Three Nines"},
+    {"99983", "Three Nines"},
+    {"99982", "Three Nines"},
+    {"99976", "Three Nines"},
+    {"99975", "Three Nines"},
+    {"99974", "Three Nines"},
+    {"99973", "Three Nines"},
+    {"99972", "Three Nines"},
+    {"99965", "Three Nines"},
+    {"99964", "Three Nines"},
+    {"99963", "Three Nines"},
+    {"99962", "Three Nines"},
+    {"99954", "Three Nines"},
+    {"99953", "Three Nines"},
+    {"99952", "Three Nines"},
+    {"99943", "Three Nines"},
+    {"99942", "Three Nines"},
+    {"99932", "Three Nines"},
+    {"888AK", "Three Eights"},
+    {"888AQ", "Three Eights"},
+    {"888AJ", "Three Eights"},
+    {"888AT", "Three Eights"},
+    {"888A9", "Three Eights"},
+    {"888A7", "Three Eights"},
+    {"888A6", "Three Eights"},
+    {"888A5", "Three Eights"},
+    {"888A4", "Three Eights"},
+    {"888A3", "Three Eights"},
+    {"888A2", "Three Eights"},
+    {"888KQ", "Three Eights"},
+    {"888KJ", "Three Eights"},
+    {"888KT", "Three Eights"},
+    {"888K9", "Three Eights"},
+    {"888K7", "Three Eights"},
+    {"888K6", "Three Eights"},
+    {"888K5", "Three Eights"},
+    {"888K4", "Three Eights"},
+    {"888K3", "Three Eights"},
+    {"888K2", "Three Eights"},
+    {"888QJ", "Three Eights"},
+    {"888QT", "Three Eights"},
+    {"888Q9", "Three Eights"},
+    {"888Q7", "Three Eights"},
+    {"888Q6", "Three Eights"},
+    {"888Q5", "Three Eights"},
+    {"888Q4", "Three Eights"},
+    {"888Q3", "Three Eights"},
+    {"888Q2", "Three Eights"},
+    {"888JT", "Three Eights"},
+    {"888J9", "Three Eights"},
+    {"888J7", "Three Eights"},
+    {"888J6", "Three Eights"},
+    {"888J5", "Three Eights"},
+    {"888J4", "Three Eights"},
+    {"888J3", "Three Eights"},
+    {"888J2", "Three Eights"},
+    {"888T9", "Three Eights"},
+    {"888T7", "Three Eights"},
+    {"888T6", "Three Eights"},
+    {"888T5", "Three Eights"},
+    {"888T4", "Three Eights"},
+    {"888T3", "Three Eights"},
+    {"888T2", "Three Eights"},
+    {"88897", "Three Eights"},
+    {"88896", "Three Eights"},
+    {"88895", "Three Eights"},
+    {"88894", "Three Eights"},
+    {"88893", "Three Eights"},
+    {"88892", "Three Eights"},
+    {"88876", "Three Eights"},
+    {"88875", "Three Eights"},
+    {"88874", "Three Eights"},
+    {"88873", "Three Eights"},
+    {"88872", "Three Eights"},
+    {"88865", "Three Eights"},
+    {"88864", "Three Eights"},
+    {"88863", "Three Eights"},
+    {"88862", "Three Eights"},
+    {"88854", "Three Eights"},
+    {"88853", "Three Eights"},
+    {"88852", "Three Eights"},
+    {"88843", "Three Eights"},
+    {"88842", "Three Eights"},
+    {"88832", "Three Eights"},
+    {"777AK", "Three Sevens"},
+    {"777AQ", "Three Sevens"},
+    {"777AJ", "Three Sevens"},
+    {"777AT", "Three Sevens"},
+    {"777A9", "Three Sevens"},
+    {"777A8", "Three Sevens"},
+    {"777A6", "Three Sevens"},
+    {"777A5", "Three Sevens"},
+    {"777A4", "Three Sevens"},
+    {"777A3", "Three Sevens"},
+    {"777A2", "Three Sevens"},
+    {"777KQ", "Three Sevens"},
+    {"777KJ", "Three Sevens"},
+    {"777KT", "Three Sevens"},
+    {"777K9", "Three Sevens"},
+    {"777K8", "Three Sevens"},
+    {"777K6", "Three Sevens"},
+    {"777K5", "Three Sevens"},
+    {"777K4", "Three Sevens"},
+    {"777K3", "Three Sevens"},
+    {"777K2", "Three Sevens"},
+    {"777QJ", "Three Sevens"},
+    {"777QT", "Three Sevens"},
+    {"777Q9", "Three Sevens"},
+    {"777Q8", "Three Sevens"},
+    {"777Q6", "Three Sevens"},
+    {"777Q5", "Three Sevens"},
+    {"777Q4", "Three Sevens"},
+    {"777Q3", "Three Sevens"},
+    {"777Q2", "Three Sevens"},
+    {"777JT", "Three Sevens"},
+    {"777J9", "Three Sevens"},
+    {"777J8", "Three Sevens"},
+    {"777J6", "Three Sevens"},
+    {"777J5", "Three Sevens"},
+    {"777J4", "Three Sevens"},
+    {"777J3", "Three Sevens"},
+    {"777J2", "Three Sevens"},
+    {"777T9", "Three Sevens"},
+    {"777T8", "Three Sevens"},
+    {"777T6", "Three Sevens"},
+    {"777T5", "Three Sevens"},
+    {"777T4", "Three Sevens"},
+    {"777T3", "Three Sevens"},
+    {"777T2", "Three Sevens"},
+    {"77798", "Three Sevens"},
+    {"77796", "Three Sevens"},
+    {"77795", "Three Sevens"},
+    {"77794", "Three Sevens"},
+    {"77793", "Three Sevens"},
+    {"77792", "Three Sevens"},
+    {"77786", "Three Sevens"},
+    {"77785", "Three Sevens"},
+    {"77784", "Three Sevens"},
+    {"77783", "Three Sevens"},
+    {"77782", "Three Sevens"},
+    {"77765", "Three Sevens"},
+    {"77764", "Three Sevens"},
+    {"77763", "Three Sevens"},
+    {"77762", "Three Sevens"},
+    {"77754", "Three Sevens"},
+    {"77753", "Three Sevens"},
+    {"77752", "Three Sevens"},
+    {"77743", "Three Sevens"},
+    {"77742", "Three Sevens"},
+    {"77732", "Three Sevens"},
+    {"666AK", "Three Sixes"},
+    {"666AQ", "Three Sixes"},
+    {"666AJ", "Three Sixes"},
+    {"666AT", "Three Sixes"},
+    {"666A9", "Three Sixes"},
+    {"666A8", "Three Sixes"},
+    {"666A7", "Three Sixes"},
+    {"666A5", "Three Sixes"},
+    {"666A4", "Three Sixes"},
+    {"666A3", "Three Sixes"},
+    {"666A2", "Three Sixes"},
+    {"666KQ", "Three Sixes"},
+    {"666KJ", "Three Sixes"},
+    {"666KT", "Three Sixes"},
+    {"666K9", "Three Sixes"},
+    {"666K8", "Three Sixes"},
+    {"666K7", "Three Sixes"},
+    {"666K5", "Three Sixes"},
+    {"666K4", "Three Sixes"},
+    {"666K3", "Three Sixes"},
+    {"666K2", "Three Sixes"},
+    {"666QJ", "Three Sixes"},
+    {"666QT", "Three Sixes"},
+    {"666Q9", "Three Sixes"},
+    {"666Q8", "Three Sixes"},
+    {"666Q7", "Three Sixes"},
+    {"666Q5", "Three Sixes"},
+    {"666Q4", "Three Sixes"},
+    {"666Q3", "Three Sixes"},
+    {"666Q2", "Three Sixes"},
+    {"666JT", "Three Sixes"},
+    {"666J9", "Three Sixes"},
+    {"666J8", "Three Sixes"},
+    {"666J7", "Three Sixes"},
+    {"666J5", "Three Sixes"},
+    {"666J4", "Three Sixes"},
+    {"666J3", "Three Sixes"},
+    {"666J2", "Three Sixes"},
+    {"666T9", "Three Sixes"},
+    {"666T8", "Three Sixes"},
+    {"666T7", "Three Sixes"},
+    {"666T5", "Three Sixes"},
+    {"666T4", "Three Sixes"},
+    {"666T3", "Three Sixes"},
+    {"666T2", "Three Sixes"},
+    {"66698", "Three Sixes"},
+    {"66697", "Three Sixes"},
+    {"66695", "Three Sixes"},
+    {"66694", "Three Sixes"},
+    {"66693", "Three Sixes"},
+    {"66692", "Three Sixes"},
+    {"66687", "Three Sixes"},
+    {"66685", "Three Sixes"},
+    {"66684", "Three Sixes"},
+    {"66683", "Three Sixes"},
+    {"66682", "Three Sixes"},
+    {"66675", "Three Sixes"},
+    {"66674", "Three Sixes"},
+    {"66673", "Three Sixes"},
+    {"66672", "Three Sixes"},
+    {"66654", "Three Sixes"},
+    {"66653", "Three Sixes"},
+    {"66652", "Three Sixes"},
+    {"66643", "Three Sixes"},
+    {"66642", "Three Sixes"},
+    {"66632", "Three Sixes"},
+    {"555AK", "Three Fives"},
+    {"555AQ", "Three Fives"},
+    {"555AJ", "Three Fives"},
+    {"555AT", "Three Fives"},
+    {"555A9", "Three Fives"},
+    {"555A8", "Three Fives"},
+    {"555A7", "Three Fives"},
+    {"555A6", "Three Fives"},
+    {"555A4", "Three Fives"},
+    {"555A3", "Three Fives"},
+    {"555A2", "Three Fives"},
+    {"555KQ", "Three Fives"},
+    {"555KJ", "Three Fives"},
+    {"555KT", "Three Fives"},
+    {"555K9", "Three Fives"},
+    {"555K8", "Three Fives"},
+    {"555K7", "Three Fives"},
+    {"555K6", "Three Fives"},
+    {"555K4", "Three Fives"},
+    {"555K3", "Three Fives"},
+    {"555K2", "Three Fives"},
+    {"555QJ", "Three Fives"},
+    {"555QT", "Three Fives"},
+    {"555Q9", "Three Fives"},
+    {"555Q8", "Three Fives"},
+    {"555Q7", "Three Fives"},
+    {"555Q6", "Three Fives"},
+    {"555Q4", "Three Fives"},
+    {"555Q3", "Three Fives"},
+    {"555Q2", "Three Fives"},
+    {"555JT", "Three Fives"},
+    {"555J9", "Three Fives"},
+    {"555J8", "Three Fives"},
+    {"555J7", "Three Fives"},
+    {"555J6", "Three Fives"},
+    {"555J4", "Three Fives"},
+    {"555J3", "Three Fives"},
+    {"555J2", "Three Fives"},
+    {"555T9", "Three Fives"},
+    {"555T8", "Three Fives"},
+    {"555T7", "Three Fives"},
+    {"555T6", "Three Fives"},
+    {"555T4", "Three Fives"},
+    {"555T3", "Three Fives"},
+    {"555T2", "Three Fives"},
+    {"55598", "Three Fives"},
+    {"55597", "Three Fives"},
+    {"55596", "Three Fives"},
+    {"55594", "Three Fives"},
+    {"55593", "Three Fives"},
+    {"55592", "Three Fives"},
+    {"55587", "Three Fives"},
+    {"55586", "Three Fives"},
+    {"55584", "Three Fives"},
+    {"55583", "Three Fives"},
+    {"55582", "Three Fives"},
+    {"55576", "Three Fives"},
+    {"55574", "Three Fives"},
+    {"55573", "Three Fives"},
+    {"55572", "Three Fives"},
+    {"55564", "Three Fives"},
+    {"55563", "Three Fives"},
+    {"55562", "Three Fives"},
+    {"55543", "Three Fives"},
+    {"55542", "Three Fives"},
+    {"55532", "Three Fives"},
+    {"444AK", "Three Fours"},
+    {"444AQ", "Three Fours"},
+    {"444AJ", "Three Fours"},
+    {"444AT", "Three Fours"},
+    {"444A9", "Three Fours"},
+    {"444A8", "Three Fours"},
+    {"444A7", "Three Fours"},
+    {"444A6", "Three Fours"},
+    {"444A5", "Three Fours"},
+    {"444A3", "Three Fours"},
+    {"444A2", "Three Fours"},
+    {"444KQ", "Three Fours"},
+    {"444KJ", "Three Fours"},
+    {"444KT", "Three Fours"},
+    {"444K9", "Three Fours"},
+    {"444K8", "Three Fours"},
+    {"444K7", "Three Fours"},
+    {"444K6", "Three Fours"},
+    {"444K5", "Three Fours"},
+    {"444K3", "Three Fours"},
+    {"444K2", "Three Fours"},
+    {"444QJ", "Three Fours"},
+    {"444QT", "Three Fours"},
+    {"444Q9", "Three Fours"},
+    {"444Q8", "Three Fours"},
+    {"444Q7", "Three Fours"},
+    {"444Q6", "Three Fours"},
+    {"444Q5", "Three Fours"},
+    {"444Q3", "Three Fours"},
+    {"444Q2", "Three Fours"},
+    {"444JT", "Three Fours"},
+    {"444J9", "Three Fours"},
+    {"444J8", "Three Fours"},
+    {"444J7", "Three Fours"},
+    {"444J6", "Three Fours"},
+    {"444J5", "Three Fours"},
+    {"444J3", "Three Fours"},
+    {"444J2", "Three Fours"},
+    {"444T9", "Three Fours"},
+    {"444T8", "Three Fours"},
+    {"444T7", "Three Fours"},
+    {"444T6", "Three Fours"},
+    {"444T5", "Three Fours"},
+    {"444T3", "Three Fours"},
+    {"444T2", "Three Fours"},
+    {"44498", "Three Fours"},
+    {"44497", "Three Fours"},
+    {"44496", "Three Fours"},
+    {"44495", "Three Fours"},
+    {"44493", "Three Fours"},
+    {"44492", "Three Fours"},
+    {"44487", "Three Fours"},
+    {"44486", "Three Fours"},
+    {"44485", "Three Fours"},
+    {"44483", "Three Fours"},
+    {"44482", "Three Fours"},
+    {"44476", "Three Fours"},
+    {"44475", "Three Fours"},
+    {"44473", "Three Fours"},
+    {"44472", "Three Fours"},
+    {"44465", "Three Fours"},
+    {"44463", "Three Fours"},
+    {"44462", "Three Fours"},
+    {"44453", "Three Fours"},
+    {"44452", "Three Fours"},
+    {"44432", "Three Fours"},
+    {"333AK", "Three Treys"},
+    {"333AQ", "Three Treys"},
+    {"333AJ", "Three Treys"},
+    {"333AT", "Three Treys"},
+    {"333A9", "Three Treys"},
+    {"333A8", "Three Treys"},
+    {"333A7", "Three Treys"},
+    {"333A6", "Three Treys"},
+    {"333A5", "Three Treys"},
+    {"333A4", "Three Treys"},
+    {"333A2", "Three Treys"},
+    {"333KQ", "Three Treys"},
+    {"333KJ", "Three Treys"},
+    {"333KT", "Three Treys"},
+    {"333K9", "Three Treys"},
+    {"333K8", "Three Treys"},
+    {"333K7", "Three Treys"},
+    {"333K6", "Three Treys"},
+    {"333K5", "Three Treys"},
+    {"333K4", "Three Treys"},
+    {"333K2", "Three Treys"},
+    {"333QJ", "Three Treys"},
+    {"333QT", "Three Treys"},
+    {"333Q9", "Three Treys"},
+    {"333Q8", "Three Treys"},
+    {"333Q7", "Three Treys"},
+    {"333Q6", "Three Treys"},
+    {"333Q5", "Three Treys"},
+    {"333Q4", "Three Treys"},
+    {"333Q2", "Three Treys"},
+    {"333JT", "Three Treys"},
+    {"333J9", "Three Treys"},
+    {"333J8", "Three Treys"},
+    {"333J7", "Three Treys"},
+    {"333J6", "Three Treys"},
+    {"333J5", "Three Treys"},
+    {"333J4", "Three Treys"},
+    {"333J2", "Three Treys"},
+    {"333T9", "Three Treys"},
+    {"333T8", "Three Treys"},
+    {"333T7", "Three Treys"},
+    {"333T6", "Three Treys"},
+    {"333T5", "Three Treys"},
+    {"333T4", "Three Treys"},
+    {"333T2", "Three Treys"},
+    {"33398", "Three Treys"},
+    {"33397", "Three Treys"},
+    {"33396", "Three Treys"},
+    {"33395", "Three Treys"},
+    {"33394", "Three Treys"},
+    {"33392", "Three Treys"},
+    {"33387", "Three Treys"},
+    {"33386", "Three Treys"},
+    {"33385", "Three Treys"},
+    {"33384", "Three Treys"},
+    {"33382", "Three Treys"},
+    {"33376", "Three Treys"},
+    {"33375", "Three Treys"},
+    {"33374", "Three Treys"},
+    {"33372", "Three Treys"},
+    {"33365", "Three Treys"},
+    {"33364", "Three Treys"},
+    {"33362", "Three Treys"},
+    {"33354", "Three Treys"},
+    {"33352", "Three Treys"},
+    {"33342", "Three Treys"},
+    {"222AK", "Three Deuces"},
+    {"222AQ", "Three Deuces"},
+    {"222AJ", "Three Deuces"},
+    {"222AT", "Three Deuces"},
+    {"222A9", "Three Deuces"},
+    {"222A8", "Three Deuces"},
+    {"222A7", "Three Deuces"},
+    {"222A6", "Three Deuces"},
+    {"222A5", "Three Deuces"},
+    {"222A4", "Three Deuces"},
+    {"222A3", "Three Deuces"},
+    {"222KQ", "Three Deuces"},
+    {"222KJ", "Three Deuces"},
+    {"222KT", "Three Deuces"},
+    {"222K9", "Three Deuces"},
+    {"222K8", "Three Deuces"},
+    {"222K7", "Three Deuces"},
+    {"222K6", "Three Deuces"},
+    {"222K5", "Three Deuces"},
+    {"222K4", "Three Deuces"},
+    {"222K3", "Three Deuces"},
+    {"222QJ", "Three Deuces"},
+    {"222QT", "Three Deuces"},
+    {"222Q9", "Three Deuces"},
+    {"222Q8", "Three Deuces"},
+    {"222Q7", "Three Deuces"},
+    {"222Q6", "Three Deuces"},
+    {"222Q5", "Three Deuces"},
+    {"222Q4", "Three Deuces"},
+    {"222Q3", "Three Deuces"},
+    {"222JT", "Three Deuces"},
+    {"222J9", "Three Deuces"},
+    {"222J8", "Three Deuces"},
+    {"222J7", "Three Deuces"},
+    {"222J6", "Three Deuces"},
+    {"222J5", "Three Deuces"},
+    {"222J4", "Three Deuces"},
+    {"222J3", "Three Deuces"},
+    {"222T9", "Three Deuces"},
+    {"222T8", "Three Deuces"},
+    {"222T7", "Three Deuces"},
+    {"222T6", "Three Deuces"},
+    {"222T5", "Three Deuces"},
+    {"222T4", "Three Deuces"},
+    {"222T3", "Three Deuces"},
+    {"22298", "Three Deuces"},
+    {"22297", "Three Deuces"},
+    {"22296", "Three Deuces"},
+    {"22295", "Three Deuces"},
+    {"22294", "Three Deuces"},
+    {"22293", "Three Deuces"},
+    {"22287", "Three Deuces"},
+    {"22286", "Three Deuces"},
+    {"22285", "Three Deuces"},
+    {"22284", "Three Deuces"},
+    {"22283", "Three Deuces"},
+    {"22276", "Three Deuces"},
+    {"22275", "Three Deuces"},
+    {"22274", "Three Deuces"},
+    {"22273", "Three Deuces"},
+    {"22265", "Three Deuces"},
+    {"22264", "Three Deuces"},
+    {"22263", "Three Deuces"},
+    {"22254", "Three Deuces"},
+    {"22253", "Three Deuces"},
+    {"22243", "Three Deuces"},
+    {"AAKKQ", "Aces and Kings"},
+    {"AAKKJ", "Aces and Kings"},
+    {"AAKKT", "Aces and Kings"},
+    {"AAKK9", "Aces and Kings"},
+    {"AAKK8", "Aces and Kings"},
+    {"AAKK7", "Aces and Kings"},
+    {"AAKK6", "Aces and Kings"},
+    {"AAKK5", "Aces and Kings"},
+    {"AAKK4", "Aces and Kings"},
+    {"AAKK3", "Aces and Kings"},
+    {"AAKK2", "Aces and Kings"},
+    {"AAQQK", "Aces and Queens"},
+    {"AAQQJ", "Aces and Queens"},
+    {"AAQQT", "Aces and Queens"},
+    {"AAQQ9", "Aces and Queens"},
+    {"AAQQ8", "Aces and Queens"},
+    {"AAQQ7", "Aces and Queens"},
+    {"AAQQ6", "Aces and Queens"},
+    {"AAQQ5", "Aces and Queens"},
+    {"AAQQ4", "Aces and Queens"},
+    {"AAQQ3", "Aces and Queens"},
+    {"AAQQ2", "Aces and Queens"},
+    {"AAJJK", "Aces and Jacks"},
+    {"AAJJQ", "Aces and Jacks"},
+    {"AAJJT", "Aces and Jacks"},
+    {"AAJJ9", "Aces and Jacks"},
+    {"AAJJ8", "Aces and Jacks"},
+    {"AAJJ7", "Aces and Jacks"},
+    {"AAJJ6", "Aces and Jacks"},
+    {"AAJJ5", "Aces and Jacks"},
+    {"AAJJ4", "Aces and Jacks"},
+    {"AAJJ3", "Aces and Jacks"},
+    {"AAJJ2", "Aces and Jacks"},
+    {"AATTK", "Aces and Tens"},
+    {"AATTQ", "Aces and Tens"},
+    {"AATTJ", "Aces and Tens"},
+    {"AATT9", "Aces and Tens"},
+    {"AATT8", "Aces and Tens"},
+    {"AATT7", "Aces and Tens"},
+    {"AATT6", "Aces and Tens"},
+    {"AATT5", "Aces and Tens"},
+    {"AATT4", "Aces and Tens"},
+    {"AATT3", "Aces and Tens"},
+    {"AATT2", "Aces and Tens"},
+    {"AA99K", "Aces and Nines"},
+    {"AA99Q", "Aces and Nines"},
+    {"AA99J", "Aces and Nines"},
+    {"AA99T", "Aces and Nines"},
+    {"AA998", "Aces and Nines"},
+    {"AA997", "Aces and Nines"},
+    {"AA996", "Aces and Nines"},
+    {"AA995", "Aces and Nines"},
+    {"AA994", "Aces and Nines"},
+    {"AA993", "Aces and Nines"},
+    {"AA992", "Aces and Nines"},
+    {"AA88K", "Aces and Eights"},
+    {"AA88Q", "Aces and Eights"},
+    {"AA88J", "Aces and Eights"},
+    {"AA88T", "Aces and Eights"},
+    {"AA889", "Aces and Eights"},
+    {"AA887", "Aces and Eights"},
+    {"AA886", "Aces and Eights"},
+    {"AA885", "Aces and Eights"},
+    {"AA884", "Aces and Eights"},
+    {"AA883", "Aces and Eights"},
+    {"AA882", "Aces and Eights"},
+    {"AA77K", "Aces and Sevens"},
+    {"AA77Q", "Aces and Sevens"},
+    {"AA77J", "Aces and Sevens"},
+    {"AA77T", "Aces and Sevens"},
+    {"AA779", "Aces and Sevens"},
+    {"AA778", "Aces and Sevens"},
+    {"AA776", "Aces and Sevens"},
+    {"AA775", "Aces and Sevens"},
+    {"AA774", "Aces and Sevens"},
+    {"AA773", "Aces and Sevens"},
+    {"AA772", "Aces and Sevens"},
+    {"AA66K", "Aces and Sixes"},
+    {"AA66Q", "Aces and Sixes"},
+    {"AA66J", "Aces and Sixes"},
+    {"AA66T", "Aces and Sixes"},
+    {"AA669", "Aces and Sixes"},
+    {"AA668", "Aces and Sixes"},
+    {"AA667", "Aces and Sixes"},
+    {"AA665", "Aces and Sixes"},
+    {"AA664", "Aces and Sixes"},
+    {"AA663", "Aces and Sixes"},
+    {"AA662", "Aces and Sixes"},
+    {"AA55K", "Aces and Fives"},
+    {"AA55Q", "Aces and Fives"},
+    {"AA55J", "Aces and Fives"},
+    {"AA55T", "Aces and Fives"},
+    {"AA559", "Aces and Fives"},
+    {"AA558", "Aces and Fives"},
+    {"AA557", "Aces and Fives"},
+    {"AA556", "Aces and Fives"},
+    {"AA554", "Aces and Fives"},
+    {"AA553", "Aces and Fives"},
+    {"AA552", "Aces and Fives"},
+    {"AA44K", "Aces and Fours"},
+    {"AA44Q", "Aces and Fours"},
+    {"AA44J", "Aces and Fours"},
+    {"AA44T", "Aces and Fours"},
+    {"AA449", "Aces and Fours"},
+    {"AA448", "Aces and Fours"},
+    {"AA447", "Aces and Fours"},
+    {"AA446", "Aces and Fours"},
+    {"AA445", "Aces and Fours"},
+    {"AA443", "Aces and Fours"},
+    {"AA442", "Aces and Fours"},
+    {"AA33K", "Aces and Treys"},
+    {"AA33Q", "Aces and Treys"},
+    {"AA33J", "Aces and Treys"},
+    {"AA33T", "Aces and Treys"},
+    {"AA339", "Aces and Treys"},
+    {"AA338", "Aces and Treys"},
+    {"AA337", "Aces and Treys"},
+    {"AA336", "Aces and Treys"},
+    {"AA335", "Aces and Treys"},
+    {"AA334", "Aces and Treys"},
+    {"AA332", "Aces and Treys"},
+    {"AA22K", "Aces and Deuces"},
+    {"AA22Q", "Aces and Deuces"},
+    {"AA22J", "Aces and Deuces"},
+    {"AA22T", "Aces and Deuces"},
+    {"AA229", "Aces and Deuces"},
+    {"AA228", "Aces and Deuces"},
+    {"AA227", "Aces and Deuces"},
+    {"AA226", "Aces and Deuces"},
+    {"AA225", "Aces and Deuces"},
+    {"AA224", "Aces and Deuces"},
+    {"AA223", "Aces and Deuces"},
+    {"KKQQA", "Kings and Queens"},
+    {"KKQQJ", "Kings and Queens"},
+    {"KKQQT", "Kings and Queens"},
+    {"KKQQ9", "Kings and Queens"},
+    {"KKQQ8", "Kings and Queens"},
+    {"KKQQ7", "Kings and Queens"},
+    {"KKQQ6", "Kings and Queens"},
+    {"KKQQ5", "Kings and Queens"},
+    {"KKQQ4", "Kings and Queens"},
+    {"KKQQ3", "Kings and Queens"},
+    {"KKQQ2", "Kings and Queens"},
+    {"KKJJA", "Kings and Jacks"},
+    {"KKJJQ", "Kings and Jacks"},
+    {"KKJJT", "Kings and Jacks"},
+    {"KKJJ9", "Kings and Jacks"},
+    {"KKJJ8", "Kings and Jacks"},
+    {"KKJJ7", "Kings and Jacks"},
+    {"KKJJ6", "Kings and Jacks"},
+    {"KKJJ5", "Kings and Jacks"},
+    {"KKJJ4", "Kings and Jacks"},
+    {"KKJJ3", "Kings and Jacks"},
+    {"KKJJ2", "Kings and Jacks"},
+    {"KKTTA", "Kings and Tens"},
+    {"KKTTQ", "Kings and Tens"},
+    {"KKTTJ", "Kings and Tens"},
+    {"KKTT9", "Kings and Tens"},
+    {"KKTT8", "Kings and Tens"},
+    {"KKTT7", "Kings and Tens"},
+    {"KKTT6", "Kings and Tens"},
+    {"KKTT5", "Kings and Tens"},
+    {"KKTT4", "Kings and Tens"},
+    {"KKTT3", "Kings and Tens"},
+    {"KKTT2", "Kings and Tens"},
+    {"KK99A", "Kings and Nines"},
+    {"KK99Q", "Kings and Nines"},
+    {"KK99J", "Kings and Nines"},
+    {"KK99T", "Kings and Nines"},
+    {"KK998", "Kings and Nines"},
+    {"KK997", "Kings and Nines"},
+    {"KK996", "Kings and Nines"},
+    {"KK995", "Kings and Nines"},
+    {"KK994", "Kings and Nines"},
+    {"KK993", "Kings and Nines"},
+    {"KK992", "Kings and Nines"},
+    {"KK88A", "Kings and Eights"},
+    {"KK88Q", "Kings and Eights"},
+    {"KK88J", "Kings and Eights"},
+    {"KK88T", "Kings and Eights"},
+    {"KK889", "Kings and Eights"},
+    {"KK887", "Kings and Eights"},
+    {"KK886", "Kings and Eights"},
+    {"KK885", "Kings and Eights"},
+    {"KK884", "Kings and Eights"},
+    {"KK883", "Kings and Eights"},
+    {"KK882", "Kings and Eights"},
+    {"KK77A", "Kings and Sevens"},
+    {"KK77Q", "Kings and Sevens"},
+    {"KK77J", "Kings and Sevens"},
+    {"KK77T", "Kings and Sevens"},
+    {"KK779", "Kings and Sevens"},
+    {"KK778", "Kings and Sevens"},
+    {"KK776", "Kings and Sevens"},
+    {"KK775", "Kings and Sevens"},
+    {"KK774", "Kings and Sevens"},
+    {"KK773", "Kings and Sevens"},
+    {"KK772", "Kings and Sevens"},
+    {"KK66A", "Kings and Sixes"},
+    {"KK66Q", "Kings and Sixes"},
+    {"KK66J", "Kings and Sixes"},
+    {"KK66T", "Kings and Sixes"},
+    {"KK669", "Kings and Sixes"},
+    {"KK668", "Kings and Sixes"},
+    {"KK667", "Kings and Sixes"},
+    {"KK665", "Kings and Sixes"},
+    {"KK664", "Kings and Sixes"},
+    {"KK663", "Kings and Sixes"},
+    {"KK662", "Kings and Sixes"},
+    {"KK55A", "Kings and Fives"},
+    {"KK55Q", "Kings and Fives"},
+    {"KK55J", "Kings and Fives"},
+    {"KK55T", "Kings and Fives"},
+    {"KK559", "Kings and Fives"},
+    {"KK558", "Kings and Fives"},
+    {"KK557", "Kings and Fives"},
+    {"KK556", "Kings and Fives"},
+    {"KK554", "Kings and Fives"},
+    {"KK553", "Kings and Fives"},
+    {"KK552", "Kings and Fives"},
+    {"KK44A", "Kings and Fours"},
+    {"KK44Q", "Kings and Fours"},
+    {"KK44J", "Kings and Fours"},
+    {"KK44T", "Kings and Fours"},
+    {"KK449", "Kings and Fours"},
+    {"KK448", "Kings and Fours"},
+    {"KK447", "Kings and Fours"},
+    {"KK446", "Kings and Fours"},
+    {"KK445", "Kings and Fours"},
+    {"KK443", "Kings and Fours"},
+    {"KK442", "Kings and Fours"},
+    {"KK33A", "Kings and Treys"},
+    {"KK33Q", "Kings and Treys"},
+    {"KK33J", "Kings and Treys"},
+    {"KK33T", "Kings and Treys"},
+    {"KK339", "Kings and Treys"},
+    {"KK338", "Kings and Treys"},
+    {"KK337", "Kings and Treys"},
+    {"KK336", "Kings and Treys"},
+    {"KK335", "Kings and Treys"},
+    {"KK334", "Kings and Treys"},
+    {"KK332", "Kings and Treys"},
+    {"KK22A", "Kings and Deuces"},
+    {"KK22Q", "Kings and Deuces"},
+    {"KK22J", "Kings and Deuces"},
+    {"KK22T", "Kings and Deuces"},
+    {"KK229", "Kings and Deuces"},
+    {"KK228", "Kings and Deuces"},
+    {"KK227", "Kings and Deuces"},
+    {"KK226", "Kings and Deuces"},
+    {"KK225", "Kings and Deuces"},
+    {"KK224", "Kings and Deuces"},
+    {"KK223", "Kings and Deuces"},
+    {"QQJJA", "Queens and Jacks"},
+    {"QQJJK", "Queens and Jacks"},
+    {"QQJJT", "Queens and Jacks"},
+    {"QQJJ9", "Queens and Jacks"},
+    {"QQJJ8", "Queens and Jacks"},
+    {"QQJJ7", "Queens and Jacks"},
+    {"QQJJ6", "Queens and Jacks"},
+    {"QQJJ5", "Queens and Jacks"},
+    {"QQJJ4", "Queens and Jacks"},
+    {"QQJJ3", "Queens and Jacks"},
+    {"QQJJ2", "Queens and Jacks"},
+    {"QQTTA", "Queens and Tens"},
+    {"QQTTK", "Queens and Tens"},
+    {"QQTTJ", "Queens and Tens"},
+    {"QQTT9", "Queens and Tens"},
+    {"QQTT8", "Queens and Tens"},
+    {"QQTT7", "Queens and Tens"},
+    {"QQTT6", "Queens and Tens"},
+    {"QQTT5", "Queens and Tens"},
+    {"QQTT4", "Queens and Tens"},
+    {"QQTT3", "Queens and Tens"},
+    {"QQTT2", "Queens and Tens"},
+    {"QQ99A", "Queens and Nines"},
+    {"QQ99K", "Queens and Nines"},
+    {"QQ99J", "Queens and Nines"},
+    {"QQ99T", "Queens and Nines"},
+    {"QQ998", "Queens and Nines"},
+    {"QQ997", "Queens and Nines"},
+    {"QQ996", "Queens and Nines"},
+    {"QQ995", "Queens and Nines"},
+    {"QQ994", "Queens and Nines"},
+    {"QQ993", "Queens and Nines"},
+    {"QQ992", "Queens and Nines"},
+    {"QQ88A", "Queens and Eights"},
+    {"QQ88K", "Queens and Eights"},
+    {"QQ88J", "Queens and Eights"},
+    {"QQ88T", "Queens and Eights"},
+    {"QQ889", "Queens and Eights"},
+    {"QQ887", "Queens and Eights"},
+    {"QQ886", "Queens and Eights"},
+    {"QQ885", "Queens and Eights"},
+    {"QQ884", "Queens and Eights"},
+    {"QQ883", "Queens and Eights"},
+    {"QQ882", "Queens and Eights"},
+    {"QQ77A", "Queens and Sevens"},
+    {"QQ77K", "Queens and Sevens"},
+    {"QQ77J", "Queens and Sevens"},
+    {"QQ77T", "Queens and Sevens"},
+    {"QQ779", "Queens and Sevens"},
+    {"QQ778", "Queens and Sevens"},
+    {"QQ776", "Queens and Sevens"},
+    {"QQ775", "Queens and Sevens"},
+    {"QQ774", "Queens and Sevens"},
+    {"QQ773", "Queens and Sevens"},
+    {"QQ772", "Queens and Sevens"},
+    {"QQ66A", "Queens and Sixes"},
+    {"QQ66K", "Queens and Sixes"},
+    {"QQ66J", "Queens and Sixes"},
+    {"QQ66T", "Queens and Sixes"},
+    {"QQ669", "Queens and Sixes"},
+    {"QQ668", "Queens and Sixes"},
+    {"QQ667", "Queens and Sixes"},
+    {"QQ665", "Queens and Sixes"},
+    {"QQ664", "Queens and Sixes"},
+    {"QQ663", "Queens and Sixes"},
+    {"QQ662", "Queens and Sixes"},
+    {"QQ55A", "Queens and Fives"},
+    {"QQ55K", "Queens and Fives"},
+    {"QQ55J", "Queens and Fives"},
+    {"QQ55T", "Queens and Fives"},
+    {"QQ559", "Queens and Fives"},
+    {"QQ558", "Queens and Fives"},
+    {"QQ557", "Queens and Fives"},
+    {"QQ556", "Queens and Fives"},
+    {"QQ554", "Queens and Fives"},
+    {"QQ553", "Queens and Fives"},
+    {"QQ552", "Queens and Fives"},
+    {"QQ44A", "Queens and Fours"},
+    {"QQ44K", "Queens and Fours"},
+    {"QQ44J", "Queens and Fours"},
+    {"QQ44T", "Queens and Fours"},
+    {"QQ449", "Queens and Fours"},
+    {"QQ448", "Queens and Fours"},
+    {"QQ447", "Queens and Fours"},
+    {"QQ446", "Queens and Fours"},
+    {"QQ445", "Queens and Fours"},
+    {"QQ443", "Queens and Fours"},
+    {"QQ442", "Queens and Fours"},
+    {"QQ33A", "Queens and Treys"},
+    {"QQ33K", "Queens and Treys"},
+    {"QQ33J", "Queens and Treys"},
+    {"QQ33T", "Queens and Treys"},
+    {"QQ339", "Queens and Treys"},
+    {"QQ338", "Queens and Treys"},
+    {"QQ337", "Queens and Treys"},
+    {"QQ336", "Queens and Treys"},
+    {"QQ335", "Queens and Treys"},
+    {"QQ334", "Queens and Treys"},
+    {"QQ332", "Queens and Treys"},
+    {"QQ22A", "Queens and Deuces"},
+    {"QQ22K", "Queens and Deuces"},
+    {"QQ22J", "Queens and Deuces"},
+    {"QQ22T", "Queens and Deuces"},
+    {"QQ229", "Queens and Deuces"},
+    {"QQ228", "Queens and Deuces"},
+    {"QQ227", "Queens and Deuces"},
+    {"QQ226", "Queens and Deuces"},
+    {"QQ225", "Queens and Deuces"},
+    {"QQ224", "Queens and Deuces"},
+    {"QQ223", "Queens and Deuces"},
+    {"JJTTA", "Jacks and Tens"},
+    {"JJTTK", "Jacks and Tens"},
+    {"JJTTQ", "Jacks and Tens"},
+    {"JJTT9", "Jacks and Tens"},
+    {"JJTT8", "Jacks and Tens"},
+    {"JJTT7", "Jacks and Tens"},
+    {"JJTT6", "Jacks and Tens"},
+    {"JJTT5", "Jacks and Tens"},
+    {"JJTT4", "Jacks and Tens"},
+    {"JJTT3", "Jacks and Tens"},
+    {"JJTT2", "Jacks and Tens"},
+    {"JJ99A", "Jacks and Nines"},
+    {"JJ99K", "Jacks and Nines"},
+    {"JJ99Q", "Jacks and Nines"},
+    {"JJ99T", "Jacks and Nines"},
+    {"JJ998", "Jacks and Nines"},
+    {"JJ997", "Jacks and Nines"},
+    {"JJ996", "Jacks and Nines"},
+    {"JJ995", "Jacks and Nines"},
+    {"JJ994", "Jacks and Nines"},
+    {"JJ993", "Jacks and Nines"},
+    {"JJ992", "Jacks and Nines"},
+    {"JJ88A", "Jacks and Eights"},
+    {"JJ88K", "Jacks and Eights"},
+    {"JJ88Q", "Jacks and Eights"},
+    {"JJ88T", "Jacks and Eights"},
+    {"JJ889", "Jacks and Eights"},
+    {"JJ887", "Jacks and Eights"},
+    {"JJ886", "Jacks and Eights"},
+    {"JJ885", "Jacks and Eights"},
+    {"JJ884", "Jacks and Eights"},
+    {"JJ883", "Jacks and Eights"},
+    {"JJ882", "Jacks and Eights"},
+    {"JJ77A", "Jacks and Sevens"},
+    {"JJ77K", "Jacks and Sevens"},
+    {"JJ77Q", "Jacks and Sevens"},
+    {"JJ77T", "Jacks and Sevens"},
+    {"JJ779", "Jacks and Sevens"},
+    {"JJ778", "Jacks and Sevens"},
+    {"JJ776", "Jacks and Sevens"},
+    {"JJ775", "Jacks and Sevens"},
+    {"JJ774", "Jacks and Sevens"},
+    {"JJ773", "Jacks and Sevens"},
+    {"JJ772", "Jacks and Sevens"},
+    {"JJ66A", "Jacks and Sixes"},
+    {"JJ66K", "Jacks and Sixes"},
+    {"JJ66Q", "Jacks and Sixes"},
+    {"JJ66T", "Jacks and Sixes"},
+    {"JJ669", "Jacks and Sixes"},
+    {"JJ668", "Jacks and Sixes"},
+    {"JJ667", "Jacks and Sixes"},
+    {"JJ665", "Jacks and Sixes"},
+    {"JJ664", "Jacks and Sixes"},
+    {"JJ663", "Jacks and Sixes"},
+    {"JJ662", "Jacks and Sixes"},
+    {"JJ55A", "Jacks and Fives"},
+    {"JJ55K", "Jacks and Fives"},
+    {"JJ55Q", "Jacks and Fives"},
+    {"JJ55T", "Jacks and Fives"},
+    {"JJ559", "Jacks and Fives"},
+    {"JJ558", "Jacks and Fives"},
+    {"JJ557", "Jacks and Fives"},
+    {"JJ556", "Jacks and Fives"},
+    {"JJ554", "Jacks and Fives"},
+    {"JJ553", "Jacks and Fives"},
+    {"JJ552", "Jacks and Fives"},
+    {"JJ44A", "Jacks and Fours"},
+    {"JJ44K", "Jacks and Fours"},
+    {"JJ44Q", "Jacks and Fours"},
+    {"JJ44T", "Jacks and Fours"},
+    {"JJ449", "Jacks and Fours"},
+    {"JJ448", "Jacks and Fours"},
+    {"JJ447", "Jacks and Fours"},
+    {"JJ446", "Jacks and Fours"},
+    {"JJ445", "Jacks and Fours"},
+    {"JJ443", "Jacks and Fours"},
+    {"JJ442", "Jacks and Fours"},
+    {"JJ33A", "Jacks and Treys"},
+    {"JJ33K", "Jacks and Treys"},
+    {"JJ33Q", "Jacks and Treys"},
+    {"JJ33T", "Jacks and Treys"},
+    {"JJ339", "Jacks and Treys"},
+    {"JJ338", "Jacks and Treys"},
+    {"JJ337", "Jacks and Treys"},
+    {"JJ336", "Jacks and Treys"},
+    {"JJ335", "Jacks and Treys"},
+    {"JJ334", "Jacks and Treys"},
+    {"JJ332", "Jacks and Treys"},
+    {"JJ22A", "Jacks and Deuces"},
+    {"JJ22K", "Jacks and Deuces"},
+    {"JJ22Q", "Jacks and Deuces"},
+    {"JJ22T", "Jacks and Deuces"},
+    {"JJ229", "Jacks and Deuces"},
+    {"JJ228", "Jacks and Deuces"},
+    {"JJ227", "Jacks and Deuces"},
+    {"JJ226", "Jacks and Deuces"},
+    {"JJ225", "Jacks and Deuces"},
+    {"JJ224", "Jacks and Deuces"},
+    {"JJ223", "Jacks and Deuces"},
+    {"TT99A", "Tens and Nines"},
+    {"TT99K", "Tens and Nines"},
+    {"TT99Q", "Tens and Nines"},
+    {"TT99J", "Tens and Nines"},
+    {"TT998", "Tens and Nines"},
+    {"TT997", "Tens and Nines"},
+    {"TT996", "Tens and Nines"},
+    {"TT995", "Tens and Nines"},
+    {"TT994", "Tens and Nines"},
+    {"TT993", "Tens and Nines"},
+    {"TT992", "Tens and Nines"},
+    {"TT88A", "Tens and Eights"},
+    {"TT88K", "Tens and Eights"},
+    {"TT88Q", "Tens and Eights"},
+    {"TT88J", "Tens and Eights"},
+    {"TT889", "Tens and Eights"},
+    {"TT887", "Tens and Eights"},
+    {"TT886", "Tens and Eights"},
+    {"TT885", "Tens and Eights"},
+    {"TT884", "Tens and Eights"},
+    {"TT883", "Tens and Eights"},
+    {"TT882", "Tens and Eights"},
+    {"TT77A", "Tens and Sevens"},
+    {"TT77K", "Tens and Sevens"},
+    {"TT77Q", "Tens and Sevens"},
+    {"TT77J", "Tens and Sevens"},
+    {"TT779", "Tens and Sevens"},
+    {"TT778", "Tens and Sevens"},
+    {"TT776", "Tens and Sevens"},
+    {"TT775", "Tens and Sevens"},
+    {"TT774", "Tens and Sevens"},
+    {"TT773", "Tens and Sevens"},
+    {"TT772", "Tens and Sevens"},
+    {"TT66A", "Tens and Sixes"},
+    {"TT66K", "Tens and Sixes"},
+    {"TT66Q", "Tens and Sixes"},
+    {"TT66J", "Tens and Sixes"},
+    {"TT669", "Tens and Sixes"},
+    {"TT668", "Tens and Sixes"},
+    {"TT667", "Tens and Sixes"},
+    {"TT665", "Tens and Sixes"},
+    {"TT664", "Tens and Sixes"},
+    {"TT663", "Tens and Sixes"},
+    {"TT662", "Tens and Sixes"},
+    {"TT55A", "Tens and Fives"},
+    {"TT55K", "Tens and Fives"},
+    {"TT55Q", "Tens and Fives"},
+    {"TT55J", "Tens and Fives"},
+    {"TT559", "Tens and Fives"},
+    {"TT558", "Tens and Fives"},
+    {"TT557", "Tens and Fives"},
+    {"TT556", "Tens and Fives"},
+    {"TT554", "Tens and Fives"},
+    {"TT553", "Tens and Fives"},
+    {"TT552", "Tens and Fives"},
+    {"TT44A", "Tens and Fours"},
+    {"TT44K", "Tens and Fours"},
+    {"TT44Q", "Tens and Fours"},
+    {"TT44J", "Tens and Fours"},
+    {"TT449", "Tens and Fours"},
+    {"TT448", "Tens and Fours"},
+    {"TT447", "Tens and Fours"},
+    {"TT446", "Tens and Fours"},
+    {"TT445", "Tens and Fours"},
+    {"TT443", "Tens and Fours"},
+    {"TT442", "Tens and Fours"},
+    {"TT33A", "Tens and Treys"},
+    {"TT33K", "Tens and Treys"},
+    {"TT33Q", "Tens and Treys"},
+    {"TT33J", "Tens and Treys"},
+    {"TT339", "Tens and Treys"},
+    {"TT338", "Tens and Treys"},
+    {"TT337", "Tens and Treys"},
+    {"TT336", "Tens and Treys"},
+    {"TT335", "Tens and Treys"},
+    {"TT334", "Tens and Treys"},
+    {"TT332", "Tens and Treys"},
+    {"TT22A", "Tens and Deuces"},
+    {"TT22K", "Tens and Deuces"},
+    {"TT22Q", "Tens and Deuces"},
+    {"TT22J", "Tens and Deuces"},
+    {"TT229", "Tens and Deuces"},
+    {"TT228", "Tens and Deuces"},
+    {"TT227", "Tens and Deuces"},
+    {"TT226", "Tens and Deuces"},
+    {"TT225", "Tens and Deuces"},
+    {"TT224", "Tens and Deuces"},
+    {"TT223", "Tens and Deuces"},
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+    {"9988K", "Nines and Eights"},
+    {"9988Q", "Nines and Eights"},
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+    {"9988T", "Nines and Eights"},
+    {"99887", "Nines and Eights"},
+    {"99886", "Nines and Eights"},
+    {"99885", "Nines and Eights"},
+    {"99884", "Nines and Eights"},
+    {"99883", "Nines and Eights"},
+    {"99882", "Nines and Eights"},
+    {"9977A", "Nines and Sevens"},
+    {"9977K", "Nines and Sevens"},
+    {"9977Q", "Nines and Sevens"},
+    {"9977J", "Nines and Sevens"},
+    {"9977T", "Nines and Sevens"},
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+    {"99776", "Nines and Sevens"},
+    {"99775", "Nines and Sevens"},
+    {"99774", "Nines and Sevens"},
+    {"99773", "Nines and Sevens"},
+    {"99772", "Nines and Sevens"},
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+    {"9966Q", "Nines and Sixes"},
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+    {"99664", "Nines and Sixes"},
+    {"99663", "Nines and Sixes"},
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+    {"9955K", "Nines and Fives"},
+    {"9955Q", "Nines and Fives"},
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+    {"99558", "Nines and Fives"},
+    {"99557", "Nines and Fives"},
+    {"99556", "Nines and Fives"},
+    {"99554", "Nines and Fives"},
+    {"99553", "Nines and Fives"},
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+    {"9944Q", "Nines and Fours"},
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+    {"99448", "Nines and Fours"},
+    {"99447", "Nines and Fours"},
+    {"99446", "Nines and Fours"},
+    {"99445", "Nines and Fours"},
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+    {"99442", "Nines and Fours"},
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+    {"9933K", "Nines and Treys"},
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+    {"99335", "Nines and Treys"},
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+    {"9922T", "Nines and Deuces"},
+    {"99228", "Nines and Deuces"},
+    {"99227", "Nines and Deuces"},
+    {"99226", "Nines and Deuces"},
+    {"99225", "Nines and Deuces"},
+    {"99224", "Nines and Deuces"},
+    {"99223", "Nines and Deuces"},
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+    {"8877K", "Eights and Sevens"},
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+    {"88774", "Eights and Sevens"},
+    {"88773", "Eights and Sevens"},
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+    {"8866K", "Eights and Sixes"},
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+    {"88664", "Eights and Sixes"},
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+    {"88446", "Eights and Fours"},
+    {"88445", "Eights and Fours"},
+    {"88443", "Eights and Fours"},
+    {"88442", "Eights and Fours"},
+    {"8833A", "Eights and Treys"},
+    {"8833K", "Eights and Treys"},
+    {"8833Q", "Eights and Treys"},
+    {"8833J", "Eights and Treys"},
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+    {"88339", "Eights and Treys"},
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+    {"88336", "Eights and Treys"},
+    {"88335", "Eights and Treys"},
+    {"88334", "Eights and Treys"},
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+    {"8822J", "Eights and Deuces"},
+    {"8822T", "Eights and Deuces"},
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+    {"88227", "Eights and Deuces"},
+    {"88226", "Eights and Deuces"},
+    {"88225", "Eights and Deuces"},
+    {"88224", "Eights and Deuces"},
+    {"88223", "Eights and Deuces"},
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+    {"77664", "Sevens and Sixes"},
+    {"77663", "Sevens and Sixes"},
+    {"77662", "Sevens and Sixes"},
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+    {"7755K", "Sevens and Fives"},
+    {"7755Q", "Sevens and Fives"},
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+    {"7755T", "Sevens and Fives"},
+    {"77559", "Sevens and Fives"},
+    {"77558", "Sevens and Fives"},
+    {"77556", "Sevens and Fives"},
+    {"77554", "Sevens and Fives"},
+    {"77553", "Sevens and Fives"},
+    {"77552", "Sevens and Fives"},
+    {"7744A", "Sevens and Fours"},
+    {"7744K", "Sevens and Fours"},
+    {"7744Q", "Sevens and Fours"},
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+    {"77449", "Sevens and Fours"},
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+    {"77446", "Sevens and Fours"},
+    {"77445", "Sevens and Fours"},
+    {"77443", "Sevens and Fours"},
+    {"77442", "Sevens and Fours"},
+    {"7733A", "Sevens and Treys"},
+    {"7733K", "Sevens and Treys"},
+    {"7733Q", "Sevens and Treys"},
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+    {"7733T", "Sevens and Treys"},
+    {"77339", "Sevens and Treys"},
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+    {"77335", "Sevens and Treys"},
+    {"77334", "Sevens and Treys"},
+    {"77332", "Sevens and Treys"},
+    {"7722A", "Sevens and Deuces"},
+    {"7722K", "Sevens and Deuces"},
+    {"7722Q", "Sevens and Deuces"},
+    {"7722J", "Sevens and Deuces"},
+    {"7722T", "Sevens and Deuces"},
+    {"77229", "Sevens and Deuces"},
+    {"77228", "Sevens and Deuces"},
+    {"77226", "Sevens and Deuces"},
+    {"77225", "Sevens and Deuces"},
+    {"77224", "Sevens and Deuces"},
+    {"77223", "Sevens and Deuces"},
+    {"6655A", "Sixes and Fives"},
+    {"6655K", "Sixes and Fives"},
+    {"6655Q", "Sixes and Fives"},
+    {"6655J", "Sixes and Fives"},
+    {"6655T", "Sixes and Fives"},
+    {"66559", "Sixes and Fives"},
+    {"66558", "Sixes and Fives"},
+    {"66557", "Sixes and Fives"},
+    {"66554", "Sixes and Fives"},
+    {"66553", "Sixes and Fives"},
+    {"66552", "Sixes and Fives"},
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+    {"6644K", "Sixes and Fours"},
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+    {"66442", "Sixes and Fours"},
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+    {"6633K", "Sixes and Treys"},
+    {"6633Q", "Sixes and Treys"},
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+    {"6633T", "Sixes and Treys"},
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+    {"66335", "Sixes and Treys"},
+    {"66334", "Sixes and Treys"},
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+    {"6622A", "Sixes and Deuces"},
+    {"6622K", "Sixes and Deuces"},
+    {"6622Q", "Sixes and Deuces"},
+    {"6622J", "Sixes and Deuces"},
+    {"6622T", "Sixes and Deuces"},
+    {"66229", "Sixes and Deuces"},
+    {"66228", "Sixes and Deuces"},
+    {"66227", "Sixes and Deuces"},
+    {"66225", "Sixes and Deuces"},
+    {"66224", "Sixes and Deuces"},
+    {"66223", "Sixes and Deuces"},
+    {"5544A", "Fives and Fours"},
+    {"5544K", "Fives and Fours"},
+    {"5544Q", "Fives and Fours"},
+    {"5544J", "Fives and Fours"},
+    {"5544T", "Fives and Fours"},
+    {"55449", "Fives and Fours"},
+    {"55448", "Fives and Fours"},
+    {"55447", "Fives and Fours"},
+    {"55446", "Fives and Fours"},
+    {"55443", "Fives and Fours"},
+    {"55442", "Fives and Fours"},
+    {"5533A", "Fives and Treys"},
+    {"5533K", "Fives and Treys"},
+    {"5533Q", "Fives and Treys"},
+    {"5533J", "Fives and Treys"},
+    {"5533T", "Fives and Treys"},
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+    {"55338", "Fives and Treys"},
+    {"55337", "Fives and Treys"},
+    {"55336", "Fives and Treys"},
+    {"55334", "Fives and Treys"},
+    {"55332", "Fives and Treys"},
+    {"5522A", "Fives and Deuces"},
+    {"5522K", "Fives and Deuces"},
+    {"5522Q", "Fives and Deuces"},
+    {"5522J", "Fives and Deuces"},
+    {"5522T", "Fives and Deuces"},
+    {"55229", "Fives and Deuces"},
+    {"55228", "Fives and Deuces"},
+    {"55227", "Fives and Deuces"},
+    {"55226", "Fives and Deuces"},
+    {"55224", "Fives and Deuces"},
+    {"55223", "Fives and Deuces"},
+    {"4433A", "Fours and Treys"},
+    {"4433K", "Fours and Treys"},
+    {"4433Q", "Fours and Treys"},
+    {"4433J", "Fours and Treys"},
+    {"4433T", "Fours and Treys"},
+    {"44339", "Fours and Treys"},
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+    {"44337", "Fours and Treys"},
+    {"44336", "Fours and Treys"},
+    {"44335", "Fours and Treys"},
+    {"44332", "Fours and Treys"},
+    {"4422A", "Fours and Deuces"},
+    {"4422K", "Fours and Deuces"},
+    {"4422Q", "Fours and Deuces"},
+    {"4422J", "Fours and Deuces"},
+    {"4422T", "Fours and Deuces"},
+    {"44229", "Fours and Deuces"},
+    {"44228", "Fours and Deuces"},
+    {"44227", "Fours and Deuces"},
+    {"44226", "Fours and Deuces"},
+    {"44225", "Fours and Deuces"},
+    {"44223", "Fours and Deuces"},
+    {"3322A", "Treys and Deuces"},
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+    {"3322J", "Treys and Deuces"},
+    {"3322T", "Treys and Deuces"},
+    {"33229", "Treys and Deuces"},
+    {"33228", "Treys and Deuces"},
+    {"33227", "Treys and Deuces"},
+    {"33226", "Treys and Deuces"},
+    {"33225", "Treys and Deuces"},
+    {"33224", "Treys and Deuces"},
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+    {"AAKQT", "Pair of Aces"},
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+    {"AAKT9", "Pair of Aces"},
+    {"AAKT8", "Pair of Aces"},
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+    {"AAKT6", "Pair of Aces"},
+    {"AAKT5", "Pair of Aces"},
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+    {"AAKT3", "Pair of Aces"},
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+    {"AAK95", "Pair of Aces"},
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+    {"AAK93", "Pair of Aces"},
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+    {"AKT62", "Ace-High"},
+    {"AKT54", "Ace-High"},
+    {"AKT53", "Ace-High"},
+    {"AKT52", "Ace-High"},
+    {"AKT43", "Ace-High"},
+    {"AKT42", "Ace-High"},
+    {"AKT32", "Ace-High"},
+    {"AK987", "Ace-High"},
+    {"AK986", "Ace-High"},
+    {"AK985", "Ace-High"},
+    {"AK984", "Ace-High"},
+    {"AK983", "Ace-High"},
+    {"AK982", "Ace-High"},
+    {"AK976", "Ace-High"},
+    {"AK975", "Ace-High"},
+    {"AK974", "Ace-High"},
+    {"AK973", "Ace-High"},
+    {"AK972", "Ace-High"},
+    {"AK965", "Ace-High"},
+    {"AK964", "Ace-High"},
+    {"AK963", "Ace-High"},
+    {"AK962", "Ace-High"},
+    {"AK954", "Ace-High"},
+    {"AK953", "Ace-High"},
+    {"AK952", "Ace-High"},
+    {"AK943", "Ace-High"},
+    {"AK942", "Ace-High"},
+    {"AK932", "Ace-High"},
+    {"AK876", "Ace-High"},
+    {"AK875", "Ace-High"},
+    {"AK874", "Ace-High"},
+    {"AK873", "Ace-High"},
+    {"AK872", "Ace-High"},
+    {"AK865", "Ace-High"},
+    {"AK864", "Ace-High"},
+    {"AK863", "Ace-High"},
+    {"AK862", "Ace-High"},
+    {"AK854", "Ace-High"},
+    {"AK853", "Ace-High"},
+    {"AK852", "Ace-High"},
+    {"AK843", "Ace-High"},
+    {"AK842", "Ace-High"},
+    {"AK832", "Ace-High"},
+    {"AK765", "Ace-High"},
+    {"AK764", "Ace-High"},
+    {"AK763", "Ace-High"},
+    {"AK762", "Ace-High"},
+    {"AK754", "Ace-High"},
+    {"AK753", "Ace-High"},
+    {"AK752", "Ace-High"},
+    {"AK743", "Ace-High"},
+    {"AK742", "Ace-High"},
+    {"AK732", "Ace-High"},
+    {"AK654", "Ace-High"},
+    {"AK653", "Ace-High"},
+    {"AK652", "Ace-High"},
+    {"AK643", "Ace-High"},
+    {"AK642", "Ace-High"},
+    {"AK632", "Ace-High"},
+    {"AK543", "Ace-High"},
+    {"AK542", "Ace-High"},
+    {"AK532", "Ace-High"},
+    {"AK432", "Ace-High"},
+    {"AQJT9", "Ace-High"},
+    {"AQJT8", "Ace-High"},
+    {"AQJT7", "Ace-High"},
+    {"AQJT6", "Ace-High"},
+    {"AQJT5", "Ace-High"},
+    {"AQJT4", "Ace-High"},
+    {"AQJT3", "Ace-High"},
+    {"AQJT2", "Ace-High"},
+    {"AQJ98", "Ace-High"},
+    {"AQJ97", "Ace-High"},
+    {"AQJ96", "Ace-High"},
+    {"AQJ95", "Ace-High"},
+    {"AQJ94", "Ace-High"},
+    {"AQJ93", "Ace-High"},
+    {"AQJ92", "Ace-High"},
+    {"AQJ87", "Ace-High"},
+    {"AQJ86", "Ace-High"},
+    {"AQJ85", "Ace-High"},
+    {"AQJ84", "Ace-High"},
+    {"AQJ83", "Ace-High"},
+    {"AQJ82", "Ace-High"},
+    {"AQJ76", "Ace-High"},
+    {"AQJ75", "Ace-High"},
+    {"AQJ74", "Ace-High"},
+    {"AQJ73", "Ace-High"},
+    {"AQJ72", "Ace-High"},
+    {"AQJ65", "Ace-High"},
+    {"AQJ64", "Ace-High"},
+    {"AQJ63", "Ace-High"},
+    {"AQJ62", "Ace-High"},
+    {"AQJ54", "Ace-High"},
+    {"AQJ53", "Ace-High"},
+    {"AQJ52", "Ace-High"},
+    {"AQJ43", "Ace-High"},
+    {"AQJ42", "Ace-High"},
+    {"AQJ32", "Ace-High"},
+    {"AQT98", "Ace-High"},
+    {"AQT97", "Ace-High"},
+    {"AQT96", "Ace-High"},
+    {"AQT95", "Ace-High"},
+    {"AQT94", "Ace-High"},
+    {"AQT93", "Ace-High"},
+    {"AQT92", "Ace-High"},
+    {"AQT87", "Ace-High"},
+    {"AQT86", "Ace-High"},
+    {"AQT85", "Ace-High"},
+    {"AQT84", "Ace-High"},
+    {"AQT83", "Ace-High"},
+    {"AQT82", "Ace-High"},
+    {"AQT76", "Ace-High"},
+    {"AQT75", "Ace-High"},
+    {"AQT74", "Ace-High"},
+    {"AQT73", "Ace-High"},
+    {"AQT72", "Ace-High"},
+    {"AQT65", "Ace-High"},
+    {"AQT64", "Ace-High"},
+    {"AQT63", "Ace-High"},
+    {"AQT62", "Ace-High"},
+    {"AQT54", "Ace-High"},
+    {"AQT53", "Ace-High"},
+    {"AQT52", "Ace-High"},
+    {"AQT43", "Ace-High"},
+    {"AQT42", "Ace-High"},
+    {"AQT32", "Ace-High"},
+    {"AQ987", "Ace-High"},
+    {"AQ986", "Ace-High"},
+    {"AQ985", "Ace-High"},
+    {"AQ984", "Ace-High"},
+    {"AQ983", "Ace-High"},
+    {"AQ982", "Ace-High"},
+    {"AQ976", "Ace-High"},
+    {"AQ975", "Ace-High"},
+    {"AQ974", "Ace-High"},
+    {"AQ973", "Ace-High"},
+    {"AQ972", "Ace-High"},
+    {"AQ965", "Ace-High"},
+    {"AQ964", "Ace-High"},
+    {"AQ963", "Ace-High"},
+    {"AQ962", "Ace-High"},
+    {"AQ954", "Ace-High"},
+    {"AQ953", "Ace-High"},
+    {"AQ952", "Ace-High"},
+    {"AQ943", "Ace-High"},
+    {"AQ942", "Ace-High"},
+    {"AQ932", "Ace-High"},
+    {"AQ876", "Ace-High"},
+    {"AQ875", "Ace-High"},
+    {"AQ874", "Ace-High"},
+    {"AQ873", "Ace-High"},
+    {"AQ872", "Ace-High"},
+    {"AQ865", "Ace-High"},
+    {"AQ864", "Ace-High"},
+    {"AQ863", "Ace-High"},
+    {"AQ862", "Ace-High"},
+    {"AQ854", "Ace-High"},
+    {"AQ853", "Ace-High"},
+    {"AQ852", "Ace-High"},
+    {"AQ843", "Ace-High"},
+    {"AQ842", "Ace-High"},
+    {"AQ832", "Ace-High"},
+    {"AQ765", "Ace-High"},
+    {"AQ764", "Ace-High"},
+    {"AQ763", "Ace-High"},
+    {"AQ762", "Ace-High"},
+    {"AQ754", "Ace-High"},
+    {"AQ753", "Ace-High"},
+    {"AQ752", "Ace-High"},
+    {"AQ743", "Ace-High"},
+    {"AQ742", "Ace-High"},
+    {"AQ732", "Ace-High"},
+    {"AQ654", "Ace-High"},
+    {"AQ653", "Ace-High"},
+    {"AQ652", "Ace-High"},
+    {"AQ643", "Ace-High"},
+    {"AQ642", "Ace-High"},
+    {"AQ632", "Ace-High"},
+    {"AQ543", "Ace-High"},
+    {"AQ542", "Ace-High"},
+    {"AQ532", "Ace-High"},
+    {"AQ432", "Ace-High"},
+    {"AJT98", "Ace-High"},
+    {"AJT97", "Ace-High"},
+    {"AJT96", "Ace-High"},
+    {"AJT95", "Ace-High"},
+    {"AJT94", "Ace-High"},
+    {"AJT93", "Ace-High"},
+    {"AJT92", "Ace-High"},
+    {"AJT87", "Ace-High"},
+    {"AJT86", "Ace-High"},
+    {"AJT85", "Ace-High"},
+    {"AJT84", "Ace-High"},
+    {"AJT83", "Ace-High"},
+    {"AJT82", "Ace-High"},
+    {"AJT76", "Ace-High"},
+    {"AJT75", "Ace-High"},
+    {"AJT74", "Ace-High"},
+    {"AJT73", "Ace-High"},
+    {"AJT72", "Ace-High"},
+    {"AJT65", "Ace-High"},
+    {"AJT64", "Ace-High"},
+    {"AJT63", "Ace-High"},
+    {"AJT62", "Ace-High"},
+    {"AJT54", "Ace-High"},
+    {"AJT53", "Ace-High"},
+    {"AJT52", "Ace-High"},
+    {"AJT43", "Ace-High"},
+    {"AJT42", "Ace-High"},
+    {"AJT32", "Ace-High"},
+    {"AJ987", "Ace-High"},
+    {"AJ986", "Ace-High"},
+    {"AJ985", "Ace-High"},
+    {"AJ984", "Ace-High"},
+    {"AJ983", "Ace-High"},
+    {"AJ982", "Ace-High"},
+    {"AJ976", "Ace-High"},
+    {"AJ975", "Ace-High"},
+    {"AJ974", "Ace-High"},
+    {"AJ973", "Ace-High"},
+    {"AJ972", "Ace-High"},
+    {"AJ965", "Ace-High"},
+    {"AJ964", "Ace-High"},
+    {"AJ963", "Ace-High"},
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+    {"AJ953", "Ace-High"},
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+    {"AJ943", "Ace-High"},
+    {"AJ942", "Ace-High"},
+    {"AJ932", "Ace-High"},
+    {"AJ876", "Ace-High"},
+    {"AJ875", "Ace-High"},
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+    {"AJ873", "Ace-High"},
+    {"AJ872", "Ace-High"},
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+    {"AJ864", "Ace-High"},
+    {"AJ863", "Ace-High"},
+    {"AJ862", "Ace-High"},
+    {"AJ854", "Ace-High"},
+    {"AJ853", "Ace-High"},
+    {"AJ852", "Ace-High"},
+    {"AJ843", "Ace-High"},
+    {"AJ842", "Ace-High"},
+    {"AJ832", "Ace-High"},
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+    {"AJ764", "Ace-High"},
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+    {"AJ732", "Ace-High"},
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+    {"AJ643", "Ace-High"},
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+    {"AT985", "Ace-High"},
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+    {"AT983", "Ace-High"},
+    {"AT982", "Ace-High"},
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+    {"AT972", "Ace-High"},
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+    {"AT964", "Ace-High"},
+    {"AT963", "Ace-High"},
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+    {"AT953", "Ace-High"},
+    {"AT952", "Ace-High"},
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+    {"AT942", "Ace-High"},
+    {"AT932", "Ace-High"},
+    {"AT876", "Ace-High"},
+    {"AT875", "Ace-High"},
+    {"AT874", "Ace-High"},
+    {"AT873", "Ace-High"},
+    {"AT872", "Ace-High"},
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+    {"AT864", "Ace-High"},
+    {"AT863", "Ace-High"},
+    {"AT862", "Ace-High"},
+    {"AT854", "Ace-High"},
+    {"AT853", "Ace-High"},
+    {"AT852", "Ace-High"},
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+    {"AT842", "Ace-High"},
+    {"AT832", "Ace-High"},
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+    {"A9542", "Ace-High"},
+    {"A9532", "Ace-High"},
+    {"A9432", "Ace-High"},
+    {"A8765", "Ace-High"},
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+    {"A7532", "Ace-High"},
+    {"A7432", "Ace-High"},
+    {"A6543", "Ace-High"},
+    {"A6542", "Ace-High"},
+    {"A6532", "Ace-High"},
+    {"A6432", "Ace-High"},
+    {"KQJT8", "King-High"},
+    {"KQJT7", "King-High"},
+    {"KQJT6", "King-High"},
+    {"KQJT5", "King-High"},
+    {"KQJT4", "King-High"},
+    {"KQJT3", "King-High"},
+    {"KQJT2", "King-High"},
+    {"KQJ98", "King-High"},
+    {"KQJ97", "King-High"},
+    {"KQJ96", "King-High"},
+    {"KQJ95", "King-High"},
+    {"KQJ94", "King-High"},
+    {"KQJ93", "King-High"},
+    {"KQJ92", "King-High"},
+    {"KQJ87", "King-High"},
+    {"KQJ86", "King-High"},
+    {"KQJ85", "King-High"},
+    {"KQJ84", "King-High"},
+    {"KQJ83", "King-High"},
+    {"KQJ82", "King-High"},
+    {"KQJ76", "King-High"},
+    {"KQJ75", "King-High"},
+    {"KQJ74", "King-High"},
+    {"KQJ73", "King-High"},
+    {"KQJ72", "King-High"},
+    {"KQJ65", "King-High"},
+    {"KQJ64", "King-High"},
+    {"KQJ63", "King-High"},
+    {"KQJ62", "King-High"},
+    {"KQJ54", "King-High"},
+    {"KQJ53", "King-High"},
+    {"KQJ52", "King-High"},
+    {"KQJ43", "King-High"},
+    {"KQJ42", "King-High"},
+    {"KQJ32", "King-High"},
+    {"KQT98", "King-High"},
+    {"KQT97", "King-High"},
+    {"KQT96", "King-High"},
+    {"KQT95", "King-High"},
+    {"KQT94", "King-High"},
+    {"KQT93", "King-High"},
+    {"KQT92", "King-High"},
+    {"KQT87", "King-High"},
+    {"KQT86", "King-High"},
+    {"KQT85", "King-High"},
+    {"KQT84", "King-High"},
+    {"KQT83", "King-High"},
+    {"KQT82", "King-High"},
+    {"KQT76", "King-High"},
+    {"KQT75", "King-High"},
+    {"KQT74", "King-High"},
+    {"KQT73", "King-High"},
+    {"KQT72", "King-High"},
+    {"KQT65", "King-High"},
+    {"KQT64", "King-High"},
+    {"KQT63", "King-High"},
+    {"KQT62", "King-High"},
+    {"KQT54", "King-High"},
+    {"KQT53", "King-High"},
+    {"KQT52", "King-High"},
+    {"KQT43", "King-High"},
+    {"KQT42", "King-High"},
+    {"KQT32", "King-High"},
+    {"KQ987", "King-High"},
+    {"KQ986", "King-High"},
+    {"KQ985", "King-High"},
+    {"KQ984", "King-High"},
+    {"KQ983", "King-High"},
+    {"KQ982", "King-High"},
+    {"KQ976", "King-High"},
+    {"KQ975", "King-High"},
+    {"KQ974", "King-High"},
+    {"KQ973", "King-High"},
+    {"KQ972", "King-High"},
+    {"KQ965", "King-High"},
+    {"KQ964", "King-High"},
+    {"KQ963", "King-High"},
+    {"KQ962", "King-High"},
+    {"KQ954", "King-High"},
+    {"KQ953", "King-High"},
+    {"KQ952", "King-High"},
+    {"KQ943", "King-High"},
+    {"KQ942", "King-High"},
+    {"KQ932", "King-High"},
+    {"KQ876", "King-High"},
+    {"KQ875", "King-High"},
+    {"KQ874", "King-High"},
+    {"KQ873", "King-High"},
+    {"KQ872", "King-High"},
+    {"KQ865", "King-High"},
+    {"KQ864", "King-High"},
+    {"KQ863", "King-High"},
+    {"KQ862", "King-High"},
+    {"KQ854", "King-High"},
+    {"KQ853", "King-High"},
+    {"KQ852", "King-High"},
+    {"KQ843", "King-High"},
+    {"KQ842", "King-High"},
+    {"KQ832", "King-High"},
+    {"KQ765", "King-High"},
+    {"KQ764", "King-High"},
+    {"KQ763", "King-High"},
+    {"KQ762", "King-High"},
+    {"KQ754", "King-High"},
+    {"KQ753", "King-High"},
+    {"KQ752", "King-High"},
+    {"KQ743", "King-High"},
+    {"KQ742", "King-High"},
+    {"KQ732", "King-High"},
+    {"KQ654", "King-High"},
+    {"KQ653", "King-High"},
+    {"KQ652", "King-High"},
+    {"KQ643", "King-High"},
+    {"KQ642", "King-High"},
+    {"KQ632", "King-High"},
+    {"KQ543", "King-High"},
+    {"KQ542", "King-High"},
+    {"KQ532", "King-High"},
+    {"KQ432", "King-High"},
+    {"KJT98", "King-High"},
+    {"KJT97", "King-High"},
+    {"KJT96", "King-High"},
+    {"KJT95", "King-High"},
+    {"KJT94", "King-High"},
+    {"KJT93", "King-High"},
+    {"KJT92", "King-High"},
+    {"KJT87", "King-High"},
+    {"KJT86", "King-High"},
+    {"KJT85", "King-High"},
+    {"KJT84", "King-High"},
+    {"KJT83", "King-High"},
+    {"KJT82", "King-High"},
+    {"KJT76", "King-High"},
+    {"KJT75", "King-High"},
+    {"KJT74", "King-High"},
+    {"KJT73", "King-High"},
+    {"KJT72", "King-High"},
+    {"KJT65", "King-High"},
+    {"KJT64", "King-High"},
+    {"KJT63", "King-High"},
+    {"KJT62", "King-High"},
+    {"KJT54", "King-High"},
+    {"KJT53", "King-High"},
+    {"KJT52", "King-High"},
+    {"KJT43", "King-High"},
+    {"KJT42", "King-High"},
+    {"KJT32", "King-High"},
+    {"KJ987", "King-High"},
+    {"KJ986", "King-High"},
+    {"KJ985", "King-High"},
+    {"KJ984", "King-High"},
+    {"KJ983", "King-High"},
+    {"KJ982", "King-High"},
+    {"KJ976", "King-High"},
+    {"KJ975", "King-High"},
+    {"KJ974", "King-High"},
+    {"KJ973", "King-High"},
+    {"KJ972", "King-High"},
+    {"KJ965", "King-High"},
+    {"KJ964", "King-High"},
+    {"KJ963", "King-High"},
+    {"KJ962", "King-High"},
+    {"KJ954", "King-High"},
+    {"KJ953", "King-High"},
+    {"KJ952", "King-High"},
+    {"KJ943", "King-High"},
+    {"KJ942", "King-High"},
+    {"KJ932", "King-High"},
+    {"KJ876", "King-High"},
+    {"KJ875", "King-High"},
+    {"KJ874", "King-High"},
+    {"KJ873", "King-High"},
+    {"KJ872", "King-High"},
+    {"KJ865", "King-High"},
+    {"KJ864", "King-High"},
+    {"KJ863", "King-High"},
+    {"KJ862", "King-High"},
+    {"KJ854", "King-High"},
+    {"KJ853", "King-High"},
+    {"KJ852", "King-High"},
+    {"KJ843", "King-High"},
+    {"KJ842", "King-High"},
+    {"KJ832", "King-High"},
+    {"KJ765", "King-High"},
+    {"KJ764", "King-High"},
+    {"KJ763", "King-High"},
+    {"KJ762", "King-High"},
+    {"KJ754", "King-High"},
+    {"KJ753", "King-High"},
+    {"KJ752", "King-High"},
+    {"KJ743", "King-High"},
+    {"KJ742", "King-High"},
+    {"KJ732", "King-High"},
+    {"KJ654", "King-High"},
+    {"KJ653", "King-High"},
+    {"KJ652", "King-High"},
+    {"KJ643", "King-High"},
+    {"KJ642", "King-High"},
+    {"KJ632", "King-High"},
+    {"KJ543", "King-High"},
+    {"KJ542", "King-High"},
+    {"KJ532", "King-High"},
+    {"KJ432", "King-High"},
+    {"KT987", "King-High"},
+    {"KT986", "King-High"},
+    {"KT985", "King-High"},
+    {"KT984", "King-High"},
+    {"KT983", "King-High"},
+    {"KT982", "King-High"},
+    {"KT976", "King-High"},
+    {"KT975", "King-High"},
+    {"KT974", "King-High"},
+    {"KT973", "King-High"},
+    {"KT972", "King-High"},
+    {"KT965", "King-High"},
+    {"KT964", "King-High"},
+    {"KT963", "King-High"},
+    {"KT962", "King-High"},
+    {"KT954", "King-High"},
+    {"KT953", "King-High"},
+    {"KT952", "King-High"},
+    {"KT943", "King-High"},
+    {"KT942", "King-High"},
+    {"KT932", "King-High"},
+    {"KT876", "King-High"},
+    {"KT875", "King-High"},
+    {"KT874", "King-High"},
+    {"KT873", "King-High"},
+    {"KT872", "King-High"},
+    {"KT865", "King-High"},
+    {"KT864", "King-High"},
+    {"KT863", "King-High"},
+    {"KT862", "King-High"},
+    {"KT854", "King-High"},
+    {"KT853", "King-High"},
+    {"KT852", "King-High"},
+    {"KT843", "King-High"},
+    {"KT842", "King-High"},
+    {"KT832", "King-High"},
+    {"KT765", "King-High"},
+    {"KT764", "King-High"},
+    {"KT763", "King-High"},
+    {"KT762", "King-High"},
+    {"KT754", "King-High"},
+    {"KT753", "King-High"},
+    {"KT752", "King-High"},
+    {"KT743", "King-High"},
+    {"KT742", "King-High"},
+    {"KT732", "King-High"},
+    {"KT654", "King-High"},
+    {"KT653", "King-High"},
+    {"KT652", "King-High"},
+    {"KT643", "King-High"},
+    {"KT642", "King-High"},
+    {"KT632", "King-High"},
+    {"KT543", "King-High"},
+    {"KT542", "King-High"},
+    {"KT532", "King-High"},
+    {"KT432", "King-High"},
+    {"K9876", "King-High"},
+    {"K9875", "King-High"},
+    {"K9874", "King-High"},
+    {"K9873", "King-High"},
+    {"K9872", "King-High"},
+    {"K9865", "King-High"},
+    {"K9864", "King-High"},
+    {"K9863", "King-High"},
+    {"K9862", "King-High"},
+    {"K9854", "King-High"},
+    {"K9853", "King-High"},
+    {"K9852", "King-High"},
+    {"K9843", "King-High"},
+    {"K9842", "King-High"},
+    {"K9832", "King-High"},
+    {"K9765", "King-High"},
+    {"K9764", "King-High"},
+    {"K9763", "King-High"},
+    {"K9762", "King-High"},
+    {"K9754", "King-High"},
+    {"K9753", "King-High"},
+    {"K9752", "King-High"},
+    {"K9743", "King-High"},
+    {"K9742", "King-High"},
+    {"K9732", "King-High"},
+    {"K9654", "King-High"},
+    {"K9653", "King-High"},
+    {"K9652", "King-High"},
+    {"K9643", "King-High"},
+    {"K9642", "King-High"},
+    {"K9632", "King-High"},
+    {"K9543", "King-High"},
+    {"K9542", "King-High"},
+    {"K9532", "King-High"},
+    {"K9432", "King-High"},
+    {"K8765", "King-High"},
+    {"K8764", "King-High"},
+    {"K8763", "King-High"},
+    {"K8762", "King-High"},
+    {"K8754", "King-High"},
+    {"K8753", "King-High"},
+    {"K8752", "King-High"},
+    {"K8743", "King-High"},
+    {"K8742", "King-High"},
+    {"K8732", "King-High"},
+    {"K8654", "King-High"},
+    {"K8653", "King-High"},
+    {"K8652", "King-High"},
+    {"K8643", "King-High"},
+    {"K8642", "King-High"},
+    {"K8632", "King-High"},
+    {"K8543", "King-High"},
+    {"K8542", "King-High"},
+    {"K8532", "King-High"},
+    {"K8432", "King-High"},
+    {"K7654", "King-High"},
+    {"K7653", "King-High"},
+    {"K7652", "King-High"},
+    {"K7643", "King-High"},
+    {"K7642", "King-High"},
+    {"K7632", "King-High"},
+    {"K7543", "King-High"},
+    {"K7542", "King-High"},
+    {"K7532", "King-High"},
+    {"K7432", "King-High"},
+    {"K6543", "King-High"},
+    {"K6542", "King-High"},
+    {"K6532", "King-High"},
+    {"K6432", "King-High"},
+    {"K5432", "King-High"},
+    {"QJT97", "Queen-High"},
+    {"QJT96", "Queen-High"},
+    {"QJT95", "Queen-High"},
+    {"QJT94", "Queen-High"},
+    {"QJT93", "Queen-High"},
+    {"QJT92", "Queen-High"},
+    {"QJT87", "Queen-High"},
+    {"QJT86", "Queen-High"},
+    {"QJT85", "Queen-High"},
+    {"QJT84", "Queen-High"},
+    {"QJT83", "Queen-High"},
+    {"QJT82", "Queen-High"},
+    {"QJT76", "Queen-High"},
+    {"QJT75", "Queen-High"},
+    {"QJT74", "Queen-High"},
+    {"QJT73", "Queen-High"},
+    {"QJT72", "Queen-High"},
+    {"QJT65", "Queen-High"},
+    {"QJT64", "Queen-High"},
+    {"QJT63", "Queen-High"},
+    {"QJT62", "Queen-High"},
+    {"QJT54", "Queen-High"},
+    {"QJT53", "Queen-High"},
+    {"QJT52", "Queen-High"},
+    {"QJT43", "Queen-High"},
+    {"QJT42", "Queen-High"},
+    {"QJT32", "Queen-High"},
+    {"QJ987", "Queen-High"},
+    {"QJ986", "Queen-High"},
+    {"QJ985", "Queen-High"},
+    {"QJ984", "Queen-High"},
+    {"QJ983", "Queen-High"},
+    {"QJ982", "Queen-High"},
+    {"QJ976", "Queen-High"},
+    {"QJ975", "Queen-High"},
+    {"QJ974", "Queen-High"},
+    {"QJ973", "Queen-High"},
+    {"QJ972", "Queen-High"},
+    {"QJ965", "Queen-High"},
+    {"QJ964", "Queen-High"},
+    {"QJ963", "Queen-High"},
+    {"QJ962", "Queen-High"},
+    {"QJ954", "Queen-High"},
+    {"QJ953", "Queen-High"},
+    {"QJ952", "Queen-High"},
+    {"QJ943", "Queen-High"},
+    {"QJ942", "Queen-High"},
+    {"QJ932", "Queen-High"},
+    {"QJ876", "Queen-High"},
+    {"QJ875", "Queen-High"},
+    {"QJ874", "Queen-High"},
+    {"QJ873", "Queen-High"},
+    {"QJ872", "Queen-High"},
+    {"QJ865", "Queen-High"},
+    {"QJ864", "Queen-High"},
+    {"QJ863", "Queen-High"},
+    {"QJ862", "Queen-High"},
+    {"QJ854", "Queen-High"},
+    {"QJ853", "Queen-High"},
+    {"QJ852", "Queen-High"},
+    {"QJ843", "Queen-High"},
+    {"QJ842", "Queen-High"},
+    {"QJ832", "Queen-High"},
+    {"QJ765", "Queen-High"},
+    {"QJ764", "Queen-High"},
+    {"QJ763", "Queen-High"},
+    {"QJ762", "Queen-High"},
+    {"QJ754", "Queen-High"},
+    {"QJ753", "Queen-High"},
+    {"QJ752", "Queen-High"},
+    {"QJ743", "Queen-High"},
+    {"QJ742", "Queen-High"},
+    {"QJ732", "Queen-High"},
+    {"QJ654", "Queen-High"},
+    {"QJ653", "Queen-High"},
+    {"QJ652", "Queen-High"},
+    {"QJ643", "Queen-High"},
+    {"QJ642", "Queen-High"},
+    {"QJ632", "Queen-High"},
+    {"QJ543", "Queen-High"},
+    {"QJ542", "Queen-High"},
+    {"QJ532", "Queen-High"},
+    {"QJ432", "Queen-High"},
+    {"QT987", "Queen-High"},
+    {"QT986", "Queen-High"},
+    {"QT985", "Queen-High"},
+    {"QT984", "Queen-High"},
+    {"QT983", "Queen-High"},
+    {"QT982", "Queen-High"},
+    {"QT976", "Queen-High"},
+    {"QT975", "Queen-High"},
+    {"QT974", "Queen-High"},
+    {"QT973", "Queen-High"},
+    {"QT972", "Queen-High"},
+    {"QT965", "Queen-High"},
+    {"QT964", "Queen-High"},
+    {"QT963", "Queen-High"},
+    {"QT962", "Queen-High"},
+    {"QT954", "Queen-High"},
+    {"QT953", "Queen-High"},
+    {"QT952", "Queen-High"},
+    {"QT943", "Queen-High"},
+    {"QT942", "Queen-High"},
+    {"QT932", "Queen-High"},
+    {"QT876", "Queen-High"},
+    {"QT875", "Queen-High"},
+    {"QT874", "Queen-High"},
+    {"QT873", "Queen-High"},
+    {"QT872", "Queen-High"},
+    {"QT865", "Queen-High"},
+    {"QT864", "Queen-High"},
+    {"QT863", "Queen-High"},
+    {"QT862", "Queen-High"},
+    {"QT854", "Queen-High"},
+    {"QT853", "Queen-High"},
+    {"QT852", "Queen-High"},
+    {"QT843", "Queen-High"},
+    {"QT842", "Queen-High"},
+    {"QT832", "Queen-High"},
+    {"QT765", "Queen-High"},
+    {"QT764", "Queen-High"},
+    {"QT763", "Queen-High"},
+    {"QT762", "Queen-High"},
+    {"QT754", "Queen-High"},
+    {"QT753", "Queen-High"},
+    {"QT752", "Queen-High"},
+    {"QT743", "Queen-High"},
+    {"QT742", "Queen-High"},
+    {"QT732", "Queen-High"},
+    {"QT654", "Queen-High"},
+    {"QT653", "Queen-High"},
+    {"QT652", "Queen-High"},
+    {"QT643", "Queen-High"},
+    {"QT642", "Queen-High"},
+    {"QT632", "Queen-High"},
+    {"QT543", "Queen-High"},
+    {"QT542", "Queen-High"},
+    {"QT532", "Queen-High"},
+    {"QT432", "Queen-High"},
+    {"Q9876", "Queen-High"},
+    {"Q9875", "Queen-High"},
+    {"Q9874", "Queen-High"},
+    {"Q9873", "Queen-High"},
+    {"Q9872", "Queen-High"},
+    {"Q9865", "Queen-High"},
+    {"Q9864", "Queen-High"},
+    {"Q9863", "Queen-High"},
+    {"Q9862", "Queen-High"},
+    {"Q9854", "Queen-High"},
+    {"Q9853", "Queen-High"},
+    {"Q9852", "Queen-High"},
+    {"Q9843", "Queen-High"},
+    {"Q9842", "Queen-High"},
+    {"Q9832", "Queen-High"},
+    {"Q9765", "Queen-High"},
+    {"Q9764", "Queen-High"},
+    {"Q9763", "Queen-High"},
+    {"Q9762", "Queen-High"},
+    {"Q9754", "Queen-High"},
+    {"Q9753", "Queen-High"},
+    {"Q9752", "Queen-High"},
+    {"Q9743", "Queen-High"},
+    {"Q9742", "Queen-High"},
+    {"Q9732", "Queen-High"},
+    {"Q9654", "Queen-High"},
+    {"Q9653", "Queen-High"},
+    {"Q9652", "Queen-High"},
+    {"Q9643", "Queen-High"},
+    {"Q9642", "Queen-High"},
+    {"Q9632", "Queen-High"},
+    {"Q9543", "Queen-High"},
+    {"Q9542", "Queen-High"},
+    {"Q9532", "Queen-High"},
+    {"Q9432", "Queen-High"},
+    {"Q8765", "Queen-High"},
+    {"Q8764", "Queen-High"},
+    {"Q8763", "Queen-High"},
+    {"Q8762", "Queen-High"},
+    {"Q8754", "Queen-High"},
+    {"Q8753", "Queen-High"},
+    {"Q8752", "Queen-High"},
+    {"Q8743", "Queen-High"},
+    {"Q8742", "Queen-High"},
+    {"Q8732", "Queen-High"},
+    {"Q8654", "Queen-High"},
+    {"Q8653", "Queen-High"},
+    {"Q8652", "Queen-High"},
+    {"Q8643", "Queen-High"},
+    {"Q8642", "Queen-High"},
+    {"Q8632", "Queen-High"},
+    {"Q8543", "Queen-High"},
+    {"Q8542", "Queen-High"},
+    {"Q8532", "Queen-High"},
+    {"Q8432", "Queen-High"},
+    {"Q7654", "Queen-High"},
+    {"Q7653", "Queen-High"},
+    {"Q7652", "Queen-High"},
+    {"Q7643", "Queen-High"},
+    {"Q7642", "Queen-High"},
+    {"Q7632", "Queen-High"},
+    {"Q7543", "Queen-High"},
+    {"Q7542", "Queen-High"},
+    {"Q7532", "Queen-High"},
+    {"Q7432", "Queen-High"},
+    {"Q6543", "Queen-High"},
+    {"Q6542", "Queen-High"},
+    {"Q6532", "Queen-High"},
+    {"Q6432", "Queen-High"},
+    {"Q5432", "Queen-High"},
+    {"JT986", "Jack-High"},
+    {"JT985", "Jack-High"},
+    {"JT984", "Jack-High"},
+    {"JT983", "Jack-High"},
+    {"JT982", "Jack-High"},
+    {"JT976", "Jack-High"},
+    {"JT975", "Jack-High"},
+    {"JT974", "Jack-High"},
+    {"JT973", "Jack-High"},
+    {"JT972", "Jack-High"},
+    {"JT965", "Jack-High"},
+    {"JT964", "Jack-High"},
+    {"JT963", "Jack-High"},
+    {"JT962", "Jack-High"},
+    {"JT954", "Jack-High"},
+    {"JT953", "Jack-High"},
+    {"JT952", "Jack-High"},
+    {"JT943", "Jack-High"},
+    {"JT942", "Jack-High"},
+    {"JT932", "Jack-High"},
+    {"JT876", "Jack-High"},
+    {"JT875", "Jack-High"},
+    {"JT874", "Jack-High"},
+    {"JT873", "Jack-High"},
+    {"JT872", "Jack-High"},
+    {"JT865", "Jack-High"},
+    {"JT864", "Jack-High"},
+    {"JT863", "Jack-High"},
+    {"JT862", "Jack-High"},
+    {"JT854", "Jack-High"},
+    {"JT853", "Jack-High"},
+    {"JT852", "Jack-High"},
+    {"JT843", "Jack-High"},
+    {"JT842", "Jack-High"},
+    {"JT832", "Jack-High"},
+    {"JT765", "Jack-High"},
+    {"JT764", "Jack-High"},
+    {"JT763", "Jack-High"},
+    {"JT762", "Jack-High"},
+    {"JT754", "Jack-High"},
+    {"JT753", "Jack-High"},
+    {"JT752", "Jack-High"},
+    {"JT743", "Jack-High"},
+    {"JT742", "Jack-High"},
+    {"JT732", "Jack-High"},
+    {"JT654", "Jack-High"},
+    {"JT653", "Jack-High"},
+    {"JT652", "Jack-High"},
+    {"JT643", "Jack-High"},
+    {"JT642", "Jack-High"},
+    {"JT632", "Jack-High"},
+    {"JT543", "Jack-High"},
+    {"JT542", "Jack-High"},
+    {"JT532", "Jack-High"},
+    {"JT432", "Jack-High"},
+    {"J9876", "Jack-High"},
+    {"J9875", "Jack-High"},
+    {"J9874", "Jack-High"},
+    {"J9873", "Jack-High"},
+    {"J9872", "Jack-High"},
+    {"J9865", "Jack-High"},
+    {"J9864", "Jack-High"},
+    {"J9863", "Jack-High"},
+    {"J9862", "Jack-High"},
+    {"J9854", "Jack-High"},
+    {"J9853", "Jack-High"},
+    {"J9852", "Jack-High"},
+    {"J9843", "Jack-High"},
+    {"J9842", "Jack-High"},
+    {"J9832", "Jack-High"},
+    {"J9765", "Jack-High"},
+    {"J9764", "Jack-High"},
+    {"J9763", "Jack-High"},
+    {"J9762", "Jack-High"},
+    {"J9754", "Jack-High"},
+    {"J9753", "Jack-High"},
+    {"J9752", "Jack-High"},
+    {"J9743", "Jack-High"},
+    {"J9742", "Jack-High"},
+    {"J9732", "Jack-High"},
+    {"J9654", "Jack-High"},
+    {"J9653", "Jack-High"},
+    {"J9652", "Jack-High"},
+    {"J9643", "Jack-High"},
+    {"J9642", "Jack-High"},
+    {"J9632", "Jack-High"},
+    {"J9543", "Jack-High"},
+    {"J9542", "Jack-High"},
+    {"J9532", "Jack-High"},
+    {"J9432", "Jack-High"},
+    {"J8765", "Jack-High"},
+    {"J8764", "Jack-High"},
+    {"J8763", "Jack-High"},
+    {"J8762", "Jack-High"},
+    {"J8754", "Jack-High"},
+    {"J8753", "Jack-High"},
+    {"J8752", "Jack-High"},
+    {"J8743", "Jack-High"},
+    {"J8742", "Jack-High"},
+    {"J8732", "Jack-High"},
+    {"J8654", "Jack-High"},
+    {"J8653", "Jack-High"},
+    {"J8652", "Jack-High"},
+    {"J8643", "Jack-High"},
+    {"J8642", "Jack-High"},
+    {"J8632", "Jack-High"},
+    {"J8543", "Jack-High"},
+    {"J8542", "Jack-High"},
+    {"J8532", "Jack-High"},
+    {"J8432", "Jack-High"},
+    {"J7654", "Jack-High"},
+    {"J7653", "Jack-High"},
+    {"J7652", "Jack-High"},
+    {"J7643", "Jack-High"},
+    {"J7642", "Jack-High"},
+    {"J7632", "Jack-High"},
+    {"J7543", "Jack-High"},
+    {"J7542", "Jack-High"},
+    {"J7532", "Jack-High"},
+    {"J7432", "Jack-High"},
+    {"J6543", "Jack-High"},
+    {"J6542", "Jack-High"},
+    {"J6532", "Jack-High"},
+    {"J6432", "Jack-High"},
+    {"J5432", "Jack-High"},
+    {"T9875", "Ten-High"},
+    {"T9874", "Ten-High"},
+    {"T9873", "Ten-High"},
+    {"T9872", "Ten-High"},
+    {"T9865", "Ten-High"},
+    {"T9864", "Ten-High"},
+    {"T9863", "Ten-High"},
+    {"T9862", "Ten-High"},
+    {"T9854", "Ten-High"},
+    {"T9853", "Ten-High"},
+    {"T9852", "Ten-High"},
+    {"T9843", "Ten-High"},
+    {"T9842", "Ten-High"},
+    {"T9832", "Ten-High"},
+    {"T9765", "Ten-High"},
+    {"T9764", "Ten-High"},
+    {"T9763", "Ten-High"},
+    {"T9762", "Ten-High"},
+    {"T9754", "Ten-High"},
+    {"T9753", "Ten-High"},
+    {"T9752", "Ten-High"},
+    {"T9743", "Ten-High"},
+    {"T9742", "Ten-High"},
+    {"T9732", "Ten-High"},
+    {"T9654", "Ten-High"},
+    {"T9653", "Ten-High"},
+    {"T9652", "Ten-High"},
+    {"T9643", "Ten-High"},
+    {"T9642", "Ten-High"},
+    {"T9632", "Ten-High"},
+    {"T9543", "Ten-High"},
+    {"T9542", "Ten-High"},
+    {"T9532", "Ten-High"},
+    {"T9432", "Ten-High"},
+    {"T8765", "Ten-High"},
+    {"T8764", "Ten-High"},
+    {"T8763", "Ten-High"},
+    {"T8762", "Ten-High"},
+    {"T8754", "Ten-High"},
+    {"T8753", "Ten-High"},
+    {"T8752", "Ten-High"},
+    {"T8743", "Ten-High"},
+    {"T8742", "Ten-High"},
+    {"T8732", "Ten-High"},
+    {"T8654", "Ten-High"},
+    {"T8653", "Ten-High"},
+    {"T8652", "Ten-High"},
+    {"T8643", "Ten-High"},
+    {"T8642", "Ten-High"},
+    {"T8632", "Ten-High"},
+    {"T8543", "Ten-High"},
+    {"T8542", "Ten-High"},
+    {"T8532", "Ten-High"},
+    {"T8432", "Ten-High"},
+    {"T7654", "Ten-High"},
+    {"T7653", "Ten-High"},
+    {"T7652", "Ten-High"},
+    {"T7643", "Ten-High"},
+    {"T7642", "Ten-High"},
+    {"T7632", "Ten-High"},
+    {"T7543", "Ten-High"},
+    {"T7542", "Ten-High"},
+    {"T7532", "Ten-High"},
+    {"T7432", "Ten-High"},
+    {"T6543", "Ten-High"},
+    {"T6542", "Ten-High"},
+    {"T6532", "Ten-High"},
+    {"T6432", "Ten-High"},
+    {"T5432", "Ten-High"},
+    {"98764", "Nine-High"},
+    {"98763", "Nine-High"},
+    {"98762", "Nine-High"},
+    {"98754", "Nine-High"},
+    {"98753", "Nine-High"},
+    {"98752", "Nine-High"},
+    {"98743", "Nine-High"},
+    {"98742", "Nine-High"},
+    {"98732", "Nine-High"},
+    {"98654", "Nine-High"},
+    {"98653", "Nine-High"},
+    {"98652", "Nine-High"},
+    {"98643", "Nine-High"},
+    {"98642", "Nine-High"},
+    {"98632", "Nine-High"},
+    {"98543", "Nine-High"},
+    {"98542", "Nine-High"},
+    {"98532", "Nine-High"},
+    {"98432", "Nine-High"},
+    {"97654", "Nine-High"},
+    {"97653", "Nine-High"},
+    {"97652", "Nine-High"},
+    {"97643", "Nine-High"},
+    {"97642", "Nine-High"},
+    {"97632", "Nine-High"},
+    {"97543", "Nine-High"},
+    {"97542", "Nine-High"},
+    {"97532", "Nine-High"},
+    {"97432", "Nine-High"},
+    {"96543", "Nine-High"},
+    {"96542", "Nine-High"},
+    {"96532", "Nine-High"},
+    {"96432", "Nine-High"},
+    {"95432", "Nine-High"},
+    {"87653", "Eight-High"},
+    {"87652", "Eight-High"},
+    {"87643", "Eight-High"},
+    {"87642", "Eight-High"},
+    {"87632", "Eight-High"},
+    {"87543", "Eight-High"},
+    {"87542", "Eight-High"},
+    {"87532", "Eight-High"},
+    {"87432", "Eight-High"},
+    {"86543", "Eight-High"},
+    {"86542", "Eight-High"},
+    {"86532", "Eight-High"},
+    {"86432", "Eight-High"},
+    {"85432", "Eight-High"},
+    {"76542", "Seven-High"},
+    {"76532", "Seven-High"},
+    {"76432", "Seven-High"},
+    {"75432", "Seven-High"},
 };
diff --git a/cpp/src/card_sampler.cc b/cpp/src/card_sampler.cc
index 6b35487..a6ce62a 100644
--- a/cpp/src/card_sampler.cc
+++ b/cpp/src/card_sampler.cc
@@ -1,4 +1,5 @@
 #include <phevaluator/card_sampler.h>
+
 #include <array>
 #include <chrono>
 #include <numeric>
@@ -11,9 +12,7 @@ static unsigned seed =
     std::chrono::system_clock::now().time_since_epoch().count();
 static std::default_random_engine generator(seed);
 
-CardSampler::CardSampler(void) {
-  std::iota(deck.begin(), deck.end(), 0);
-}
+CardSampler::CardSampler(void) { std::iota(deck.begin(), deck.end(), 0); }
 
 std::vector<int> CardSampler::sample(int size) {
   std::vector<int> ret;
diff --git a/cpp/src/dptables.c b/cpp/src/dptables.c
index 3641e31..fd44c71 100644
--- a/cpp/src/dptables.c
+++ b/cpp/src/dptables.c
@@ -17,879 +17,911 @@
 #include "tables.h"
 
 const unsigned int choose[53][10] = {
-  {
-    1,  0,  0,  0,  0,
-    0,  0,  0,  0,  0,
-  },
-  {
-    1,  1,  0,  0,  0,
-    0,  0,  0,  0,  0,
-  },
-  {
-    1,  2,  1,  0,  0,
-    0,  0,  0,  0,  0,
-  },
-  {
-    1,  3,  3,  1,  0,
-    0,  0,  0,  0,  0,
-  },
-  {
-    1,  4,  6,  4,  1,
-    0,  0,  0,  0,  0,
-  },
-  {
-    1,  5,  10,  10,  5,
-    1,  0,  0,  0,  0,
-  },
-  {
-    1,  6,  15,  20,  15,
-    6,  1,  0,  0,  0,
-  },
-  {
-    1,  7,  21,  35,  35,
-    21,  7,  1,  0,  0,
-  },
-  {
-    1,  8,  28,  56,  70,
-    56,  28,  8,  1,  0,
-  },
-  {
-    1,  9,  36,  84,  126,
-    126,  84,  36,  9,  1,
-  },
-  {
-    1,  10,  45,  120,  210,
-    252,  210,  120,  45,  10,
-  },
-  {
-    1,  11,  55,  165,  330,
-    462,  462,  330,  165,  55,
-  },
-  {
-    1,  12,  66,  220,  495,
-    792,  924,  792,  495,  220,
-  },
-  {
-    1,  13,  78,  286,  715,
-    1287,  1716,  1716,  1287,  715,
-  },
-  {
-    1,  14,  91,  364,  1001,
-    2002,  3003,  3432,  3003,  2002,
-  },
-  {
-    1,  15,  105,  455,  1365,
-    3003,  5005,  6435,  6435,  5005,
-  },
-  {
-    1,  16,  120,  560,  1820,
-    4368,  8008,  11440,  12870,  11440,
-  },
-  {
-    1,  17,  136,  680,  2380,
-    6188,  12376,  19448,  24310,  24310,
-  },
-  {
-    1,  18,  153,  816,  3060,
-    8568,  18564,  31824,  43758,  48620,
-  },
-  {
-    1,  19,  171,  969,  3876,
-    11628,  27132,  50388,  75582,  92378,
-  },
-  {
-    1,  20,  190,  1140,  4845,
-    15504,  38760,  77520,  125970,  167960,
-  },
-  {
-    1,  21,  210,  1330,  5985,
-    20349,  54264,  116280,  203490,  293930,
-  },
-  {
-    1,  22,  231,  1540,  7315,
-    26334,  74613,  170544,  319770,  497420,
-  },
-  {
-    1,  23,  253,  1771,  8855,
-    33649,  100947,  245157,  490314,  817190,
-  },
-  {
-    1,  24,  276,  2024,  10626,
-    42504,  134596,  346104,  735471,  1307504,
-  },
-  {
-    1,  25,  300,  2300,  12650,
-    53130,  177100,  480700,  1081575,  2042975,
-  },
-  {
-    1,  26,  325,  2600,  14950,
-    65780,  230230,  657800,  1562275,  3124550,
-  },
-  {
-    1,  27,  351,  2925,  17550,
-    80730,  296010,  888030,  2220075,  4686825,
-  },
-  {
-    1,  28,  378,  3276,  20475,
-    98280,  376740,  1184040,  3108105,  6906900,
-  },
-  {
-    1,  29,  406,  3654,  23751,
-    118755,  475020,  1560780,  4292145,  10015005,
-  },
-  {
-    1,  30,  435,  4060,  27405,
-    142506,  593775,  2035800,  5852925,  14307150,
-  },
-  {
-    1,  31,  465,  4495,  31465,
-    169911,  736281,  2629575,  7888725,  20160075,
-  },
-  {
-    1,  32,  496,  4960,  35960,
-    201376,  906192,  3365856,  10518300,  28048800,
-  },
-  {
-    1,  33,  528,  5456,  40920,
-    237336,  1107568,  4272048,  13884156,  38567100,
-  },
-  {
-    1,  34,  561,  5984,  46376,
-    278256,  1344904,  5379616,  18156204,  52451256,
-  },
-  {
-    1,  35,  595,  6545,  52360,
-    324632,  1623160,  6724520,  23535820,  70607460,
-  },
-  {
-    1,  36,  630,  7140,  58905,
-    376992,  1947792,  8347680,  30260340,  94143280,
-  },
-  {
-    1,  37,  666,  7770,  66045,
-    435897,  2324784,  10295472,  38608020,  124403620,
-  },
-  {
-    1,  38,  703,  8436,  73815,
-    501942,  2760681,  12620256,  48903492,  163011640,
-  },
-  {
-    1,  39,  741,  9139,  82251,
-    575757,  3262623,  15380937,  61523748,  211915132,
-  },
-  {
-    1,  40,  780,  9880,  91390,
-    658008,  3838380,  18643560,  76904685,  273438880,
-  },
-  {
-    1,  41,  820,  10660,  101270,
-    749398,  4496388,  22481940,  95548245,  350343565,
-  },
-  {
-    1,  42,  861,  11480,  111930,
-    850668,  5245786,  26978328,  118030185,  445891810,
-  },
-  {
-    1,  43,  903,  12341,  123410,
-    962598,  6096454,  32224114,  145008513,  563921995,
-  },
-  {
-    1,  44,  946,  13244,  135751,
-    1086008,  7059052,  38320568,  177232627,  708930508,
-  },
-  {
-    1,  45,  990,  14190,  148995,
-    1221759,  8145060,  45379620,  215553195,  886163135,
-  },
-  {
-    1,  46,  1035,  15180,  163185,
-    1370754,  9366819,  53524680,  260932815,  1101716330,
-  },
-  {
-    1,  47,  1081,  16215,  178365,
-    1533939,  10737573,  62891499,  314457495,  1362649145,
-  },
-  {
-    1,  48,  1128,  17296,  194580,
-    1712304,  12271512,  73629072,  377348994,  1677106640,
-  },
-  {
-    1,  49,  1176,  18424,  211876,
-    1906884,  13983816,  85900584,  450978066,  2054455634,
-  },
-  {
-    1,  50,  1225,  19600,  230300,
-    2118760,  15890700,  99884400,  536878650,  2505433700,
-  },
-  {
-    1,  51,  1275,  20825,  249900,
-    2349060,  18009460,  115775100,  636763050,  3042312350,
-  },
-  {
-    1,  52,  1326,  22100,  270725,
-    2598960,  20358520,  133784560,  752538150,  3679075400,
-  },
+    {
+        1,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+    },
+    {
+        1,
+        1,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+    },
+    {
+        1,
+        2,
+        1,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+    },
+    {
+        1,
+        3,
+        3,
+        1,
+        0,
+        0,
+        0,
+        0,
+        0,
+        0,
+    },
+    {
+        1,
+        4,
+        6,
+        4,
+        1,
+        0,
+        0,
+        0,
+        0,
+        0,
+    },
+    {
+        1,
+        5,
+        10,
+        10,
+        5,
+        1,
+        0,
+        0,
+        0,
+        0,
+    },
+    {
+        1,
+        6,
+        15,
+        20,
+        15,
+        6,
+        1,
+        0,
+        0,
+        0,
+    },
+    {
+        1,
+        7,
+        21,
+        35,
+        35,
+        21,
+        7,
+        1,
+        0,
+        0,
+    },
+    {
+        1,
+        8,
+        28,
+        56,
+        70,
+        56,
+        28,
+        8,
+        1,
+        0,
+    },
+    {
+        1,
+        9,
+        36,
+        84,
+        126,
+        126,
+        84,
+        36,
+        9,
+        1,
+    },
+    {
+        1,
+        10,
+        45,
+        120,
+        210,
+        252,
+        210,
+        120,
+        45,
+        10,
+    },
+    {
+        1,
+        11,
+        55,
+        165,
+        330,
+        462,
+        462,
+        330,
+        165,
+        55,
+    },
+    {
+        1,
+        12,
+        66,
+        220,
+        495,
+        792,
+        924,
+        792,
+        495,
+        220,
+    },
+    {
+        1,
+        13,
+        78,
+        286,
+        715,
+        1287,
+        1716,
+        1716,
+        1287,
+        715,
+    },
+    {
+        1,
+        14,
+        91,
+        364,
+        1001,
+        2002,
+        3003,
+        3432,
+        3003,
+        2002,
+    },
+    {
+        1,
+        15,
+        105,
+        455,
+        1365,
+        3003,
+        5005,
+        6435,
+        6435,
+        5005,
+    },
+    {
+        1,
+        16,
+        120,
+        560,
+        1820,
+        4368,
+        8008,
+        11440,
+        12870,
+        11440,
+    },
+    {
+        1,
+        17,
+        136,
+        680,
+        2380,
+        6188,
+        12376,
+        19448,
+        24310,
+        24310,
+    },
+    {
+        1,
+        18,
+        153,
+        816,
+        3060,
+        8568,
+        18564,
+        31824,
+        43758,
+        48620,
+    },
+    {
+        1,
+        19,
+        171,
+        969,
+        3876,
+        11628,
+        27132,
+        50388,
+        75582,
+        92378,
+    },
+    {
+        1,
+        20,
+        190,
+        1140,
+        4845,
+        15504,
+        38760,
+        77520,
+        125970,
+        167960,
+    },
+    {
+        1,
+        21,
+        210,
+        1330,
+        5985,
+        20349,
+        54264,
+        116280,
+        203490,
+        293930,
+    },
+    {
+        1,
+        22,
+        231,
+        1540,
+        7315,
+        26334,
+        74613,
+        170544,
+        319770,
+        497420,
+    },
+    {
+        1,
+        23,
+        253,
+        1771,
+        8855,
+        33649,
+        100947,
+        245157,
+        490314,
+        817190,
+    },
+    {
+        1,
+        24,
+        276,
+        2024,
+        10626,
+        42504,
+        134596,
+        346104,
+        735471,
+        1307504,
+    },
+    {
+        1,
+        25,
+        300,
+        2300,
+        12650,
+        53130,
+        177100,
+        480700,
+        1081575,
+        2042975,
+    },
+    {
+        1,
+        26,
+        325,
+        2600,
+        14950,
+        65780,
+        230230,
+        657800,
+        1562275,
+        3124550,
+    },
+    {
+        1,
+        27,
+        351,
+        2925,
+        17550,
+        80730,
+        296010,
+        888030,
+        2220075,
+        4686825,
+    },
+    {
+        1,
+        28,
+        378,
+        3276,
+        20475,
+        98280,
+        376740,
+        1184040,
+        3108105,
+        6906900,
+    },
+    {
+        1,
+        29,
+        406,
+        3654,
+        23751,
+        118755,
+        475020,
+        1560780,
+        4292145,
+        10015005,
+    },
+    {
+        1,
+        30,
+        435,
+        4060,
+        27405,
+        142506,
+        593775,
+        2035800,
+        5852925,
+        14307150,
+    },
+    {
+        1,
+        31,
+        465,
+        4495,
+        31465,
+        169911,
+        736281,
+        2629575,
+        7888725,
+        20160075,
+    },
+    {
+        1,
+        32,
+        496,
+        4960,
+        35960,
+        201376,
+        906192,
+        3365856,
+        10518300,
+        28048800,
+    },
+    {
+        1,
+        33,
+        528,
+        5456,
+        40920,
+        237336,
+        1107568,
+        4272048,
+        13884156,
+        38567100,
+    },
+    {
+        1,
+        34,
+        561,
+        5984,
+        46376,
+        278256,
+        1344904,
+        5379616,
+        18156204,
+        52451256,
+    },
+    {
+        1,
+        35,
+        595,
+        6545,
+        52360,
+        324632,
+        1623160,
+        6724520,
+        23535820,
+        70607460,
+    },
+    {
+        1,
+        36,
+        630,
+        7140,
+        58905,
+        376992,
+        1947792,
+        8347680,
+        30260340,
+        94143280,
+    },
+    {
+        1,
+        37,
+        666,
+        7770,
+        66045,
+        435897,
+        2324784,
+        10295472,
+        38608020,
+        124403620,
+    },
+    {
+        1,
+        38,
+        703,
+        8436,
+        73815,
+        501942,
+        2760681,
+        12620256,
+        48903492,
+        163011640,
+    },
+    {
+        1,
+        39,
+        741,
+        9139,
+        82251,
+        575757,
+        3262623,
+        15380937,
+        61523748,
+        211915132,
+    },
+    {
+        1,
+        40,
+        780,
+        9880,
+        91390,
+        658008,
+        3838380,
+        18643560,
+        76904685,
+        273438880,
+    },
+    {
+        1,
+        41,
+        820,
+        10660,
+        101270,
+        749398,
+        4496388,
+        22481940,
+        95548245,
+        350343565,
+    },
+    {
+        1,
+        42,
+        861,
+        11480,
+        111930,
+        850668,
+        5245786,
+        26978328,
+        118030185,
+        445891810,
+    },
+    {
+        1,
+        43,
+        903,
+        12341,
+        123410,
+        962598,
+        6096454,
+        32224114,
+        145008513,
+        563921995,
+    },
+    {
+        1,
+        44,
+        946,
+        13244,
+        135751,
+        1086008,
+        7059052,
+        38320568,
+        177232627,
+        708930508,
+    },
+    {
+        1,
+        45,
+        990,
+        14190,
+        148995,
+        1221759,
+        8145060,
+        45379620,
+        215553195,
+        886163135,
+    },
+    {
+        1,
+        46,
+        1035,
+        15180,
+        163185,
+        1370754,
+        9366819,
+        53524680,
+        260932815,
+        1101716330,
+    },
+    {
+        1,
+        47,
+        1081,
+        16215,
+        178365,
+        1533939,
+        10737573,
+        62891499,
+        314457495,
+        1362649145,
+    },
+    {
+        1,
+        48,
+        1128,
+        17296,
+        194580,
+        1712304,
+        12271512,
+        73629072,
+        377348994,
+        1677106640,
+    },
+    {
+        1,
+        49,
+        1176,
+        18424,
+        211876,
+        1906884,
+        13983816,
+        85900584,
+        450978066,
+        2054455634,
+    },
+    {
+        1,
+        50,
+        1225,
+        19600,
+        230300,
+        2118760,
+        15890700,
+        99884400,
+        536878650,
+        2505433700,
+    },
+    {
+        1,
+        51,
+        1275,
+        20825,
+        249900,
+        2349060,
+        18009460,
+        115775100,
+        636763050,
+        3042312350,
+    },
+    {
+        1,
+        52,
+        1326,
+        22100,
+        270725,
+        2598960,
+        20358520,
+        133784560,
+        752538150,
+        3679075400,
+    },
 };
 
 const int dp[5][14][10] = {
-  {
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-  },
-  {
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 1,  1,  1,  1,  1,  0,  0,  0,  0,  0 },
-    { 1,  2,  3,  4,  5,  4,  3,  2,  1,  0 },
-    { 1,  3,  6,  10,  15,  18,  19,  18,  15,  10 },
-    { 1,  4,  10,  20,  35,  52,  68,  80,  85,  80 },
-    { 1,  5,  15,  35,  70,  121,  185,  255,  320,  365 },
-    { 1,  6,  21,  56,  126,  246,  426,  666,  951,  1246 },
-    { 1,  7,  28,  84,  210,  455,  875,  1520,  2415,  3535 },
-    { 1,  8,  36,  120,  330,  784,  1652,  3144,  5475,  8800 },
-    { 1,  9,  45,  165,  495,  1278,  2922,  6030,  11385,  19855 },
-    { 1,  10,  55,  220,  715,  1992,  4905,  10890,  22110,  41470 },
-    { 1,  11,  66,  286,  1001,  2992,  7887,  18722,  40612,  81367 },
-    { 1,  12,  78,  364,  1365,  4356,  12232,  30888,  71214,  151580 },
-    { 1,  13,  91,  455,  1820,  6175,  18395,  49205,  120055,  270270 },
-  },
-  {
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 1,  2,  2,  2,  2,  1,  0,  0,  0,  0 },
-    { 1,  3,  5,  7,  9,  9,  7,  5,  3,  1 },
-    { 1,  4,  9,  16,  25,  33,  37,  37,  33,  25 },
-    { 1,  5,  14,  30,  55,  87,  120,  148,  165,  165 },
-    { 1,  6,  20,  50,  105,  191,  306,  440,  575,  685 },
-    { 1,  7,  27,  77,  182,  372,  672,  1092,  1617,  2197 },
-    { 1,  8,  35,  112,  294,  665,  1330,  2395,  3935,  5950 },
-    { 1,  9,  44,  156,  450,  1114,  2436,  4796,  8619,  14275 },
-    { 1,  10,  54,  210,  660,  1773,  4200,  8952,  17415,  31240 },
-    { 1,  11,  65,  275,  935,  2707,  6897,  15795,  33000,  63580 },
-    { 1,  12,  77,  352,  1287,  3993,  10879,  26609,  59334,  121979 },
-    { 1,  13,  90,  442,  1729,  5721,  16588,  43120,  102102,  222794 },
-    { 1,  14,  104,  546,  2275,  7995,  24570,  67600,  169260,  390325 },
-  },
-  {
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 1,  2,  3,  3,  3,  2,  1,  0,  0,  0 },
-    { 1,  3,  6,  9,  12,  13,  12,  9,  6,  3 },
-    { 1,  4,  10,  19,  31,  43,  52,  55,  52,  43 },
-    { 1,  5,  15,  34,  65,  107,  155,  200,  233,  245 },
-    { 1,  6,  21,  55,  120,  226,  376,  561,  760,  940 },
-    { 1,  7,  28,  83,  203,  428,  798,  1338,  2043,  2863 },
-    { 1,  8,  36,  119,  322,  749,  1540,  2850,  4810,  7470 },
-    { 1,  9,  45,  164,  486,  1234,  2766,  5580,  10271,  17419 },
-    { 1,  10,  55,  219,  705,  1938,  4695,  10230,  20337,  37270 },
-    { 1,  11,  66,  285,  990,  2927,  7612,  17787,  37905,  74470 },
-    { 1,  12,  78,  363,  1353,  4279,  11880,  29601,  67221,  140701 },
-    { 1,  13,  91,  454,  1807,  6085,  17953,  47476,  114334,  253682 },
-    { 1,  14,  105,  559,  2366,  8450,  26390,  73775,  187655,  439530 },
-  },
-  {
-    { 0,  0,  0,  0,  0,  0,  0,  0,  0,  0 },
-    { 1,  2,  3,  4,  4,  3,  2,  1,  0,  0 },
-    { 1,  3,  6,  10,  14,  16,  16,  14,  10,  6 },
-    { 1,  4,  10,  20,  34,  49,  62,  70,  70,  62 },
-    { 1,  5,  15,  35,  69,  117,  175,  235,  285,  313 },
-    { 1,  6,  21,  56,  125,  241,  411,  631,  881,  1125 },
-    { 1,  7,  28,  84,  209,  449,  854,  1464,  2289,  3289 },
-    { 1,  8,  36,  120,  329,  777,  1624,  3060,  5265,  8345 },
-    { 1,  9,  45,  165,  494,  1270,  2886,  5910,  11055,  19071 },
-    { 1,  10,  55,  220,  714,  1983,  4860,  10725,  21615,  40192 },
-    { 1,  11,  66,  286,  1000,  2982,  7832,  18502,  39897,  79375 },
-    { 1,  12,  78,  364,  1364,  4345,  12166,  30602,  70213,  148588 },
-    { 1,  13,  91,  455,  1819,  6163,  18317,  48841,  118690,  265914 },
-    { 1,  14,  105,  560,  2379,  8541,  26845,  75595,  193830,  457925 },
-  },
+    {
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+    },
+    {
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {1, 1, 1, 1, 1, 0, 0, 0, 0, 0},
+        {1, 2, 3, 4, 5, 4, 3, 2, 1, 0},
+        {1, 3, 6, 10, 15, 18, 19, 18, 15, 10},
+        {1, 4, 10, 20, 35, 52, 68, 80, 85, 80},
+        {1, 5, 15, 35, 70, 121, 185, 255, 320, 365},
+        {1, 6, 21, 56, 126, 246, 426, 666, 951, 1246},
+        {1, 7, 28, 84, 210, 455, 875, 1520, 2415, 3535},
+        {1, 8, 36, 120, 330, 784, 1652, 3144, 5475, 8800},
+        {1, 9, 45, 165, 495, 1278, 2922, 6030, 11385, 19855},
+        {1, 10, 55, 220, 715, 1992, 4905, 10890, 22110, 41470},
+        {1, 11, 66, 286, 1001, 2992, 7887, 18722, 40612, 81367},
+        {1, 12, 78, 364, 1365, 4356, 12232, 30888, 71214, 151580},
+        {1, 13, 91, 455, 1820, 6175, 18395, 49205, 120055, 270270},
+    },
+    {
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {1, 2, 2, 2, 2, 1, 0, 0, 0, 0},
+        {1, 3, 5, 7, 9, 9, 7, 5, 3, 1},
+        {1, 4, 9, 16, 25, 33, 37, 37, 33, 25},
+        {1, 5, 14, 30, 55, 87, 120, 148, 165, 165},
+        {1, 6, 20, 50, 105, 191, 306, 440, 575, 685},
+        {1, 7, 27, 77, 182, 372, 672, 1092, 1617, 2197},
+        {1, 8, 35, 112, 294, 665, 1330, 2395, 3935, 5950},
+        {1, 9, 44, 156, 450, 1114, 2436, 4796, 8619, 14275},
+        {1, 10, 54, 210, 660, 1773, 4200, 8952, 17415, 31240},
+        {1, 11, 65, 275, 935, 2707, 6897, 15795, 33000, 63580},
+        {1, 12, 77, 352, 1287, 3993, 10879, 26609, 59334, 121979},
+        {1, 13, 90, 442, 1729, 5721, 16588, 43120, 102102, 222794},
+        {1, 14, 104, 546, 2275, 7995, 24570, 67600, 169260, 390325},
+    },
+    {
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {1, 2, 3, 3, 3, 2, 1, 0, 0, 0},
+        {1, 3, 6, 9, 12, 13, 12, 9, 6, 3},
+        {1, 4, 10, 19, 31, 43, 52, 55, 52, 43},
+        {1, 5, 15, 34, 65, 107, 155, 200, 233, 245},
+        {1, 6, 21, 55, 120, 226, 376, 561, 760, 940},
+        {1, 7, 28, 83, 203, 428, 798, 1338, 2043, 2863},
+        {1, 8, 36, 119, 322, 749, 1540, 2850, 4810, 7470},
+        {1, 9, 45, 164, 486, 1234, 2766, 5580, 10271, 17419},
+        {1, 10, 55, 219, 705, 1938, 4695, 10230, 20337, 37270},
+        {1, 11, 66, 285, 990, 2927, 7612, 17787, 37905, 74470},
+        {1, 12, 78, 363, 1353, 4279, 11880, 29601, 67221, 140701},
+        {1, 13, 91, 454, 1807, 6085, 17953, 47476, 114334, 253682},
+        {1, 14, 105, 559, 2366, 8450, 26390, 73775, 187655, 439530},
+    },
+    {
+        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+        {1, 2, 3, 4, 4, 3, 2, 1, 0, 0},
+        {1, 3, 6, 10, 14, 16, 16, 14, 10, 6},
+        {1, 4, 10, 20, 34, 49, 62, 70, 70, 62},
+        {1, 5, 15, 35, 69, 117, 175, 235, 285, 313},
+        {1, 6, 21, 56, 125, 241, 411, 631, 881, 1125},
+        {1, 7, 28, 84, 209, 449, 854, 1464, 2289, 3289},
+        {1, 8, 36, 120, 329, 777, 1624, 3060, 5265, 8345},
+        {1, 9, 45, 165, 494, 1270, 2886, 5910, 11055, 19071},
+        {1, 10, 55, 220, 714, 1983, 4860, 10725, 21615, 40192},
+        {1, 11, 66, 286, 1000, 2982, 7832, 18502, 39897, 79375},
+        {1, 12, 78, 364, 1364, 4345, 12166, 30602, 70213, 148588},
+        {1, 13, 91, 455, 1819, 6163, 18317, 48841, 118690, 265914},
+        {1, 14, 105, 560, 2379, 8541, 26845, 75595, 193830, 457925},
+    },
 };
 
 const unsigned char suits[4609] = {
-  0,  0,  0,  0,  0,  1,  1,  1,
-  1,  1,  0,  0,  0,  1,  1,  1,
-  1,  0,  0,  0,  0,  1,  1,  1,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  2,  2,  2,  2,  2,  0,  0,  0,
-  2,  2,  2,  2,  0,  0,  0,  0,
-  2,  2,  2,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  1,  1,  1,
-  1,  0,  0,  0,  0,  1,  1,  1,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  2,  2,  2,  0,  0,  0,  0,
-  2,  2,  2,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  1,  1,  1,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  2,  2,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  3,  3,  3,  3,  0,  0,  0,
-  3,  3,  3,  3,  0,  0,  0,  0,
-  3,  3,  3,  0,  0,  0,  0,  0,
-  3,  3,  0,  0,  0,  0,  0,  0,
-  3,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  3,  3,  3,  0,  0,  0,  0,
-  3,  3,  3,  0,  0,  0,  0,  0,
-  3,  3,  0,  0,  0,  0,  0,  0,
-  3,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  3,  3,  0,  0,  0,  0,  0,
-  3,  3,  0,  0,  0,  0,  0,  0,
-  3,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  3,  0,  0,  0,  1,  1,  1,
-  3,  0,  0,  0,  0,  1,  1,  1,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  2,  2,  2,  0,  0,  0,  0,
-  2,  2,  2,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  1,  1,  1,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  2,  2,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  3,  3,  3,  0,  0,  0,  0,
-  3,  3,  3,  0,  0,  0,  0,  0,
-  3,  3,  0,  0,  0,  0,  0,  0,
-  3,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  3,  3,  0,  0,  0,  0,  0,
-  3,  3,  0,  0,  0,  0,  0,  0,
-  3,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  3,  0,  0,  0,  0,  0,  0,
-  3,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  3,  0,  0,  0,  0,  1,  1,  1,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  2,  2,  2,  0,  0,  0,  0,  0,
-  2,  2,  0,  0,  0,  0,  0,  0,
-  2,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  1,  1,  0,
-  0,  0,  0,  0,  0,  1,  0,  0,
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+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0,
+    0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4,
+    4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0,
+    0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4,
+    4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0,
+    0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0,
+    4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4,
+    0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0,
+    0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+    0, 0, 0, 0, 0, 0, 0, 0, 4,
 };
diff --git a/cpp/src/evaluator5.c b/cpp/src/evaluator5.c
index 1692b58..c1a3e26 100644
--- a/cpp/src/evaluator5.c
+++ b/cpp/src/evaluator5.c
@@ -15,6 +15,7 @@
  */
 
 #include <stdio.h>
+
 #include "hash.h"
 #include "tables.h"
 
@@ -27,23 +28,22 @@
 int evaluate_5cards(int a, int b, int c, int d, int e) {
   int suit_hash = 0;
 
-  suit_hash += bit_of_mod_4_x_3[a]; // (1 << ((a % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[b]; // (1 << ((b % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[c]; // (1 << ((c % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[d]; // (1 << ((d % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[e]; // (1 << ((e % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[a];  // (1 << ((a % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[b];  // (1 << ((b % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[c];  // (1 << ((c % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[d];  // (1 << ((d % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[e];  // (1 << ((e % 4) * 3))
 
-  if (suits[suit_hash])
-  {
+  if (suits[suit_hash]) {
     int suit_binary[4] = {0};
 
-    suit_binary[a & 0x3] |= bit_of_div_4[a]; // (1 << (a / 4))
-    suit_binary[b & 0x3] |= bit_of_div_4[b]; // (1 << (b / 4))
-    suit_binary[c & 0x3] |= bit_of_div_4[c]; // (1 << (c / 4))
-    suit_binary[d & 0x3] |= bit_of_div_4[d]; // (1 << (d / 4))
-    suit_binary[e & 0x3] |= bit_of_div_4[e]; // (1 << (e / 4))
+    suit_binary[a & 0x3] |= bit_of_div_4[a];  // (1 << (a / 4))
+    suit_binary[b & 0x3] |= bit_of_div_4[b];  // (1 << (b / 4))
+    suit_binary[c & 0x3] |= bit_of_div_4[c];  // (1 << (c / 4))
+    suit_binary[d & 0x3] |= bit_of_div_4[d];  // (1 << (d / 4))
+    suit_binary[e & 0x3] |= bit_of_div_4[e];  // (1 << (e / 4))
 
-    return flush[suit_binary[suits[suit_hash]-1]];
+    return flush[suit_binary[suits[suit_hash] - 1]];
   }
 
   unsigned char quinary[13] = {0};
@@ -58,4 +58,3 @@ int evaluate_5cards(int a, int b, int c, int d, int e) {
 
   return noflush5[hash];
 }
-
diff --git a/cpp/src/evaluator5.cc b/cpp/src/evaluator5.cc
index cef0a96..295c8dc 100644
--- a/cpp/src/evaluator5.cc
+++ b/cpp/src/evaluator5.cc
@@ -15,6 +15,7 @@
  */
 
 #include <phevaluator/phevaluator.h>
+
 #include "hash.h"
 extern "C" {
 #include "tables.h"
@@ -26,5 +27,4 @@ Rank EvaluateCards(const Card& a, const Card& b, const Card& c, const Card& d,
   return evaluate_5cards(a, b, c, d, e);
 }
 
-} // namespace phevaluator
-
+}  // namespace phevaluator
diff --git a/cpp/src/evaluator6.c b/cpp/src/evaluator6.c
index 07822c2..55dc6c9 100644
--- a/cpp/src/evaluator6.c
+++ b/cpp/src/evaluator6.c
@@ -15,6 +15,7 @@
  */
 
 #include <stdio.h>
+
 #include "hash.h"
 #include "tables.h"
 
@@ -27,25 +28,24 @@
 int evaluate_6cards(int a, int b, int c, int d, int e, int f) {
   int suit_hash = 0;
 
-  suit_hash += bit_of_mod_4_x_3[a]; // (1 << ((a % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[b]; // (1 << ((b % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[c]; // (1 << ((c % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[d]; // (1 << ((d % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[e]; // (1 << ((e % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[f]; // (1 << ((f % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[a];  // (1 << ((a % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[b];  // (1 << ((b % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[c];  // (1 << ((c % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[d];  // (1 << ((d % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[e];  // (1 << ((e % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[f];  // (1 << ((f % 4) * 3))
 
-  if (suits[suit_hash])
-  {
+  if (suits[suit_hash]) {
     int suit_binary[4] = {0};
 
-    suit_binary[a & 0x3] |= bit_of_div_4[a]; // (1 << (a / 4))
-    suit_binary[b & 0x3] |= bit_of_div_4[b]; // (1 << (b / 4))
-    suit_binary[c & 0x3] |= bit_of_div_4[c]; // (1 << (c / 4))
-    suit_binary[d & 0x3] |= bit_of_div_4[d]; // (1 << (d / 4))
-    suit_binary[e & 0x3] |= bit_of_div_4[e]; // (1 << (e / 4))
-    suit_binary[f & 0x3] |= bit_of_div_4[f]; // (1 << (f / 4))
+    suit_binary[a & 0x3] |= bit_of_div_4[a];  // (1 << (a / 4))
+    suit_binary[b & 0x3] |= bit_of_div_4[b];  // (1 << (b / 4))
+    suit_binary[c & 0x3] |= bit_of_div_4[c];  // (1 << (c / 4))
+    suit_binary[d & 0x3] |= bit_of_div_4[d];  // (1 << (d / 4))
+    suit_binary[e & 0x3] |= bit_of_div_4[e];  // (1 << (e / 4))
+    suit_binary[f & 0x3] |= bit_of_div_4[f];  // (1 << (f / 4))
 
-    return flush[suit_binary[suits[suit_hash]-1]];
+    return flush[suit_binary[suits[suit_hash] - 1]];
   }
 
   unsigned char quinary[13] = {0};
@@ -60,4 +60,3 @@ int evaluate_6cards(int a, int b, int c, int d, int e, int f) {
 
   return noflush6[hash];
 }
-
diff --git a/cpp/src/evaluator6.cc b/cpp/src/evaluator6.cc
index 562f64d..83bfeb5 100644
--- a/cpp/src/evaluator6.cc
+++ b/cpp/src/evaluator6.cc
@@ -15,6 +15,7 @@
  */
 
 #include <phevaluator/phevaluator.h>
+
 #include "hash.h"
 extern "C" {
 #include "tables.h"
@@ -26,5 +27,4 @@ Rank EvaluateCards(const Card& a, const Card& b, const Card& c, const Card& d,
   return evaluate_6cards(a, b, c, d, e, f);
 }
 
-} // namespace phevaluator
-
+}  // namespace phevaluator
diff --git a/cpp/src/evaluator7.c b/cpp/src/evaluator7.c
index cc7e739..94eec92 100644
--- a/cpp/src/evaluator7.c
+++ b/cpp/src/evaluator7.c
@@ -15,6 +15,7 @@
  */
 
 #include <stdio.h>
+
 #include "hash.h"
 #include "tables.h"
 
@@ -27,27 +28,26 @@
 int evaluate_7cards(int a, int b, int c, int d, int e, int f, int g) {
   int suit_hash = 0;
 
-  suit_hash += bit_of_mod_4_x_3[a]; // (1 << ((a % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[b]; // (1 << ((b % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[c]; // (1 << ((c % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[d]; // (1 << ((d % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[e]; // (1 << ((e % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[f]; // (1 << ((f % 4) * 3))
-  suit_hash += bit_of_mod_4_x_3[g]; // (1 << ((g % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[a];  // (1 << ((a % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[b];  // (1 << ((b % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[c];  // (1 << ((c % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[d];  // (1 << ((d % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[e];  // (1 << ((e % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[f];  // (1 << ((f % 4) * 3))
+  suit_hash += bit_of_mod_4_x_3[g];  // (1 << ((g % 4) * 3))
 
-  if (suits[suit_hash])
-  {
+  if (suits[suit_hash]) {
     int suit_binary[4] = {0};
 
-    suit_binary[a & 0x3] |= bit_of_div_4[a]; // (1 << (a / 4))
-    suit_binary[b & 0x3] |= bit_of_div_4[b]; // (1 << (b / 4))
-    suit_binary[c & 0x3] |= bit_of_div_4[c]; // (1 << (c / 4))
-    suit_binary[d & 0x3] |= bit_of_div_4[d]; // (1 << (d / 4))
-    suit_binary[e & 0x3] |= bit_of_div_4[e]; // (1 << (e / 4))
-    suit_binary[f & 0x3] |= bit_of_div_4[f]; // (1 << (f / 4))
-    suit_binary[g & 0x3] |= bit_of_div_4[g]; // (1 << (g / 4))
+    suit_binary[a & 0x3] |= bit_of_div_4[a];  // (1 << (a / 4))
+    suit_binary[b & 0x3] |= bit_of_div_4[b];  // (1 << (b / 4))
+    suit_binary[c & 0x3] |= bit_of_div_4[c];  // (1 << (c / 4))
+    suit_binary[d & 0x3] |= bit_of_div_4[d];  // (1 << (d / 4))
+    suit_binary[e & 0x3] |= bit_of_div_4[e];  // (1 << (e / 4))
+    suit_binary[f & 0x3] |= bit_of_div_4[f];  // (1 << (f / 4))
+    suit_binary[g & 0x3] |= bit_of_div_4[g];  // (1 << (g / 4))
 
-    return flush[suit_binary[suits[suit_hash]-1]];
+    return flush[suit_binary[suits[suit_hash] - 1]];
   }
 
   unsigned char quinary[13] = {0};
@@ -64,4 +64,3 @@ int evaluate_7cards(int a, int b, int c, int d, int e, int f, int g) {
 
   return noflush7[hash];
 }
-
diff --git a/cpp/src/evaluator7.cc b/cpp/src/evaluator7.cc
index 5716600..1e4ead7 100644
--- a/cpp/src/evaluator7.cc
+++ b/cpp/src/evaluator7.cc
@@ -15,6 +15,7 @@
  */
 
 #include <phevaluator/phevaluator.h>
+
 #include "hash.h"
 extern "C" {
 #include "tables.h"
@@ -26,5 +27,4 @@ Rank EvaluateCards(const Card& a, const Card& b, const Card& c, const Card& d,
   return evaluate_7cards(a, b, c, d, e, f, g);
 }
 
-} // namespace phevaluator
-
+}  // namespace phevaluator
diff --git a/cpp/src/evaluator8.c b/cpp/src/evaluator8.c
index 963ed9d..1dde050 100644
--- a/cpp/src/evaluator8.c
+++ b/cpp/src/evaluator8.c
@@ -15,39 +15,25 @@
  */
 
 #include <stdio.h>
+
 #include "hash.h"
 #include "tables.h"
 
 static short binaries_by_id[52] = {
-  0x1,  0x1,  0x1,  0x1,
-  0x2,  0x2,  0x2,  0x2,
-  0x4,  0x4,  0x4,  0x4,
-  0x8,  0x8,  0x8,  0x8,
-  0x10,  0x10,  0x10,  0x10,
-  0x20,  0x20,  0x20,  0x20,
-  0x40,  0x40,  0x40,  0x40,
-  0x80,  0x80,  0x80,  0x80,
-  0x100,  0x100,  0x100,  0x100,
-  0x200,  0x200,  0x200,  0x200,
-  0x400,  0x400,  0x400,  0x400,
-  0x800,  0x800,  0x800,  0x800,
-  0x1000,  0x1000,  0x1000,  0x1000,
+    0x1,   0x1,   0x1,   0x1,    0x2,    0x2,    0x2,    0x2,   0x4,
+    0x4,   0x4,   0x4,   0x8,    0x8,    0x8,    0x8,    0x10,  0x10,
+    0x10,  0x10,  0x20,  0x20,   0x20,   0x20,   0x40,   0x40,  0x40,
+    0x40,  0x80,  0x80,  0x80,   0x80,   0x100,  0x100,  0x100, 0x100,
+    0x200, 0x200, 0x200, 0x200,  0x400,  0x400,  0x400,  0x400, 0x800,
+    0x800, 0x800, 0x800, 0x1000, 0x1000, 0x1000, 0x1000,
 };
 
 static short suitbit_by_id[52] = {
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
+    0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,
+    0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,
+    0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,
+    0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200,
+    0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200,
 };
 
 /*
@@ -56,8 +42,7 @@ static short suitbit_by_id[52] = {
  * The rest of it represent the rank, ranged from 0-12.
  * 13 * 4 gives 52 ids.
  */
-int evaluate_8cards(int a, int b, int c, int d, int e, int f, int g, int h)
-{
+int evaluate_8cards(int a, int b, int c, int d, int e, int f, int g, int h) {
   int suit_hash = 0;
   int value_flush = 10000;
   int value_noflush = 10000;
@@ -71,8 +56,7 @@ int evaluate_8cards(int a, int b, int c, int d, int e, int f, int g, int h)
   suit_hash += suitbit_by_id[g];
   suit_hash += suitbit_by_id[h];
 
-  if (suits[suit_hash])
-  {
+  if (suits[suit_hash]) {
     int suit_binary[4] = {0};
     suit_binary[a & 0x3] |= binaries_by_id[a];
     suit_binary[b & 0x3] |= binaries_by_id[b];
@@ -83,7 +67,7 @@ int evaluate_8cards(int a, int b, int c, int d, int e, int f, int g, int h)
     suit_binary[g & 0x3] |= binaries_by_id[g];
     suit_binary[h & 0x3] |= binaries_by_id[h];
 
-    value_flush = flush[suit_binary[suits[suit_hash]-1]];
+    value_flush = flush[suit_binary[suits[suit_hash] - 1]];
   }
 
   unsigned char quinary[13] = {0};
@@ -105,4 +89,3 @@ int evaluate_8cards(int a, int b, int c, int d, int e, int f, int g, int h)
   else
     return value_noflush;
 }
-
diff --git a/cpp/src/evaluator9.c b/cpp/src/evaluator9.c
index afb91c0..1b13df4 100644
--- a/cpp/src/evaluator9.c
+++ b/cpp/src/evaluator9.c
@@ -15,39 +15,25 @@
  */
 
 #include <stdio.h>
+
 #include "hash.h"
 #include "tables.h"
 
 static short binaries_by_id[52] = {
-  0x1,  0x1,  0x1,  0x1,
-  0x2,  0x2,  0x2,  0x2,
-  0x4,  0x4,  0x4,  0x4,
-  0x8,  0x8,  0x8,  0x8,
-  0x10,  0x10,  0x10,  0x10,
-  0x20,  0x20,  0x20,  0x20,
-  0x40,  0x40,  0x40,  0x40,
-  0x80,  0x80,  0x80,  0x80,
-  0x100,  0x100,  0x100,  0x100,
-  0x200,  0x200,  0x200,  0x200,
-  0x400,  0x400,  0x400,  0x400,
-  0x800,  0x800,  0x800,  0x800,
-  0x1000,  0x1000,  0x1000,  0x1000,
+    0x1,   0x1,   0x1,   0x1,    0x2,    0x2,    0x2,    0x2,   0x4,
+    0x4,   0x4,   0x4,   0x8,    0x8,    0x8,    0x8,    0x10,  0x10,
+    0x10,  0x10,  0x20,  0x20,   0x20,   0x20,   0x40,   0x40,  0x40,
+    0x40,  0x80,  0x80,  0x80,   0x80,   0x100,  0x100,  0x100, 0x100,
+    0x200, 0x200, 0x200, 0x200,  0x400,  0x400,  0x400,  0x400, 0x800,
+    0x800, 0x800, 0x800, 0x1000, 0x1000, 0x1000, 0x1000,
 };
 
 static short suitbit_by_id[52] = {
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
+    0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,
+    0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,
+    0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,
+    0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200,
+    0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200,
 };
 
 /*
@@ -56,8 +42,8 @@ static short suitbit_by_id[52] = {
  * The rest of it represent the rank, ranged from 0-12.
  * 13 * 4 gives 52 ids.
  */
-int evaluate_9cards(int a, int b, int c, int d, int e, int f, int g, int h, int i)
-{
+int evaluate_9cards(int a, int b, int c, int d, int e, int f, int g, int h,
+                    int i) {
   int value_flush = 10000;
   int value_noflush = 10000;
   int suit_counter[4] = {0};
@@ -111,4 +97,3 @@ int evaluate_9cards(int a, int b, int c, int d, int e, int f, int g, int h, int
   else
     return value_noflush;
 }
-
diff --git a/cpp/src/evaluator_plo4.c b/cpp/src/evaluator_plo4.c
index ee373f4..58da8ca 100644
--- a/cpp/src/evaluator_plo4.c
+++ b/cpp/src/evaluator_plo4.c
@@ -17,24 +17,19 @@
 #include "hash.h"
 #include "tables.h"
 
-static int hash_binary(const int binary, int k)
-{
+static int hash_binary(const int binary, int k) {
   // The binary should have 15 bits
   int sum = 0;
   int i;
   const int len = 15;
 
-  for (i=0; i<len; i++)
-  {
-    if (binary & (1 << i))
-    {
-      if (len-i-1 >= k)
-        sum += choose[len-i-1][k];
+  for (i = 0; i < len; i++) {
+    if (binary & (1 << i)) {
+      if (len - i - 1 >= k) sum += choose[len - i - 1][k];
 
       k--;
 
-      if (k == 0)
-      {
+      if (k == 0) {
         break;
       }
     }
@@ -52,8 +47,8 @@ static int hash_binary(const int binary, int k)
  * The first five parameters are the community cards on the board
  * The last four parameters are the hole cards of the player
  */
-int evaluate_plo4_cards(int c1, int c2, int c3, int c4, int c5,
-                        int h1, int h2, int h3, int h4) {
+int evaluate_plo4_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                        int h3, int h4) {
   int value_flush = 10000;
   int value_noflush = 10000;
   int suit_count_board[4] = {0};
@@ -74,17 +69,17 @@ int evaluate_plo4_cards(int c1, int c2, int c3, int c4, int c5,
     if (suit_count_board[i] >= 3 && suit_count_hole[i] >= 2) {
       // flush
       int suit_binary_board[4] = {0};
-      suit_binary_board[c1 & 0x3] |= bit_of_div_4[c1]; // (1 << (c1 / 4))
-      suit_binary_board[c2 & 0x3] |= bit_of_div_4[c2]; // (1 << (c2 / 4))
-      suit_binary_board[c3 & 0x3] |= bit_of_div_4[c3]; // (1 << (c3 / 4))
-      suit_binary_board[c4 & 0x3] |= bit_of_div_4[c4]; // (1 << (c4 / 4))
-      suit_binary_board[c5 & 0x3] |= bit_of_div_4[c5]; // (1 << (c5 / 4))
+      suit_binary_board[c1 & 0x3] |= bit_of_div_4[c1];  // (1 << (c1 / 4))
+      suit_binary_board[c2 & 0x3] |= bit_of_div_4[c2];  // (1 << (c2 / 4))
+      suit_binary_board[c3 & 0x3] |= bit_of_div_4[c3];  // (1 << (c3 / 4))
+      suit_binary_board[c4 & 0x3] |= bit_of_div_4[c4];  // (1 << (c4 / 4))
+      suit_binary_board[c5 & 0x3] |= bit_of_div_4[c5];  // (1 << (c5 / 4))
 
       int suit_binary_hole[4] = {0};
-      suit_binary_hole[h1 & 0x3] |= bit_of_div_4[h1]; // (1 << (h1 / 4))
-      suit_binary_hole[h2 & 0x3] |= bit_of_div_4[h2]; // (1 << (h2 / 4))
-      suit_binary_hole[h3 & 0x3] |= bit_of_div_4[h3]; // (1 << (h3 / 4))
-      suit_binary_hole[h4 & 0x3] |= bit_of_div_4[h4]; // (1 << (h4 / 4))
+      suit_binary_hole[h1 & 0x3] |= bit_of_div_4[h1];  // (1 << (h1 / 4))
+      suit_binary_hole[h2 & 0x3] |= bit_of_div_4[h2];  // (1 << (h2 / 4))
+      suit_binary_hole[h3 & 0x3] |= bit_of_div_4[h3];  // (1 << (h3 / 4))
+      suit_binary_hole[h4 & 0x3] |= bit_of_div_4[h4];  // (1 << (h4 / 4))
 
       if (suit_count_board[i] == 3 && suit_count_hole[i] == 2) {
         value_flush = flush[suit_binary_board[i] | suit_binary_hole[i]];
@@ -104,7 +99,7 @@ int evaluate_plo4_cards(int c1, int c2, int c3, int c4, int c5,
         const int board_hash = hash_binary(suit_binary_board[i], 5);
         const int hole_hash = hash_binary(suit_binary_hole[i], 4);
 
-        value_flush = flush_plo4[board_hash * 1365 +  hole_hash];
+        value_flush = flush_plo4[board_hash * 1365 + hole_hash];
       }
 
       break;
@@ -136,8 +131,7 @@ int evaluate_plo4_cards(int c1, int c2, int c3, int c4, int c5,
     return value_noflush;
 }
 
-
-int evaluate_omaha_cards(int c1, int c2, int c3, int c4, int c5,
-                         int h1, int h2, int h3, int h4) {
+int evaluate_omaha_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                         int h3, int h4) {
   return evaluate_plo4_cards(c1, c2, c3, c4, c5, h1, h2, h3, h4);
 }
diff --git a/cpp/src/evaluator_plo4.cc b/cpp/src/evaluator_plo4.cc
index b1b54d4..2db7617 100644
--- a/cpp/src/evaluator_plo4.cc
+++ b/cpp/src/evaluator_plo4.cc
@@ -19,15 +19,15 @@
 namespace phevaluator {
 
 Rank EvaluatePlo4Cards(const Card& c1, const Card& c2, const Card& c3,
-    const Card& c4, const Card& c5,
-    const Card& h1, const Card& h2, const Card& h3, const Card& h4) {
+                       const Card& c4, const Card& c5, const Card& h1,
+                       const Card& h2, const Card& h3, const Card& h4) {
   return evaluate_plo4_cards(c1, c2, c3, c4, c5, h1, h2, h3, h4);
 }
 
 Rank EvaluateOmahaCards(const Card& c1, const Card& c2, const Card& c3,
-    const Card& c4, const Card& c5,
-    const Card& h1, const Card& h2, const Card& h3, const Card& h4) {
+                        const Card& c4, const Card& c5, const Card& h1,
+                        const Card& h2, const Card& h3, const Card& h4) {
   return EvaluatePlo4Cards(c1, c2, c3, c4, c5, h1, h2, h3, h4);
 }
 
-} // namespace phevaluator
+}  // namespace phevaluator
diff --git a/cpp/src/evaluator_plo5.c b/cpp/src/evaluator_plo5.c
index a677e6c..ca2b4f7 100644
--- a/cpp/src/evaluator_plo5.c
+++ b/cpp/src/evaluator_plo5.c
@@ -17,24 +17,19 @@
 #include "hash.h"
 #include "tables.h"
 
-static int hash_binary(const int binary, int k)
-{
+static int hash_binary(const int binary, int k) {
   // The binary should have 16 bits
   int sum = 0;
   int i;
   const int len = 16;
 
-  for (i=0; i<len; i++)
-  {
-    if (binary & (1 << i))
-    {
-      if (len-i-1 >= k)
-        sum += choose[len-i-1][k];
+  for (i = 0; i < len; i++) {
+    if (binary & (1 << i)) {
+      if (len - i - 1 >= k) sum += choose[len - i - 1][k];
 
       k--;
 
-      if (k == 0)
-      {
+      if (k == 0) {
         break;
       }
     }
@@ -52,8 +47,8 @@ static int hash_binary(const int binary, int k)
  * The first five parameters are the community cards on the board
  * The last five parameters are the hole cards of the player
  */
-int evaluate_plo5_cards(int c1, int c2, int c3, int c4, int c5,
-                        int h1, int h2, int h3, int h4, int h5) {
+int evaluate_plo5_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                        int h3, int h4, int h5) {
   int value_flush = 10000;
   int value_noflush = 10000;
   int suit_count_board[4] = {0};
@@ -75,18 +70,18 @@ int evaluate_plo5_cards(int c1, int c2, int c3, int c4, int c5,
     if (suit_count_board[i] >= 3 && suit_count_hole[i] >= 2) {
       // flush
       int suit_binary_board[4] = {0};
-      suit_binary_board[c1 & 0x3] |= bit_of_div_4[c1]; // (1 << (c1 / 4))
-      suit_binary_board[c2 & 0x3] |= bit_of_div_4[c2]; // (1 << (c2 / 4))
-      suit_binary_board[c3 & 0x3] |= bit_of_div_4[c3]; // (1 << (c3 / 4))
-      suit_binary_board[c4 & 0x3] |= bit_of_div_4[c4]; // (1 << (c4 / 4))
-      suit_binary_board[c5 & 0x3] |= bit_of_div_4[c5]; // (1 << (c5 / 4))
+      suit_binary_board[c1 & 0x3] |= bit_of_div_4[c1];  // (1 << (c1 / 4))
+      suit_binary_board[c2 & 0x3] |= bit_of_div_4[c2];  // (1 << (c2 / 4))
+      suit_binary_board[c3 & 0x3] |= bit_of_div_4[c3];  // (1 << (c3 / 4))
+      suit_binary_board[c4 & 0x3] |= bit_of_div_4[c4];  // (1 << (c4 / 4))
+      suit_binary_board[c5 & 0x3] |= bit_of_div_4[c5];  // (1 << (c5 / 4))
 
       int suit_binary_hole[4] = {0};
-      suit_binary_hole[h1 & 0x3] |= bit_of_div_4[h1]; // (1 << (h1 / 4))
-      suit_binary_hole[h2 & 0x3] |= bit_of_div_4[h2]; // (1 << (h2 / 4))
-      suit_binary_hole[h3 & 0x3] |= bit_of_div_4[h3]; // (1 << (h3 / 4))
-      suit_binary_hole[h4 & 0x3] |= bit_of_div_4[h4]; // (1 << (h4 / 4))
-      suit_binary_hole[h5 & 0x3] |= bit_of_div_4[h5]; // (1 << (h5 / 4))
+      suit_binary_hole[h1 & 0x3] |= bit_of_div_4[h1];  // (1 << (h1 / 4))
+      suit_binary_hole[h2 & 0x3] |= bit_of_div_4[h2];  // (1 << (h2 / 4))
+      suit_binary_hole[h3 & 0x3] |= bit_of_div_4[h3];  // (1 << (h3 / 4))
+      suit_binary_hole[h4 & 0x3] |= bit_of_div_4[h4];  // (1 << (h4 / 4))
+      suit_binary_hole[h5 & 0x3] |= bit_of_div_4[h5];  // (1 << (h5 / 4))
 
       if (suit_count_board[i] == 3 && suit_count_hole[i] == 2) {
         value_flush = flush[suit_binary_board[i] | suit_binary_hole[i]];
@@ -103,7 +98,7 @@ int evaluate_plo5_cards(int c1, int c2, int c3, int c4, int c5,
         const int board_hash = hash_binary(suit_binary_board[i], 5);
         const int hole_hash = hash_binary(suit_binary_hole[i], 5);
 
-        value_flush = flush_plo5[board_hash * 4368 +  hole_hash];
+        value_flush = flush_plo5[board_hash * 4368 + hole_hash];
       }
       break;
     }
diff --git a/cpp/src/evaluator_plo5.cc b/cpp/src/evaluator_plo5.cc
index c450ace..e9f4221 100644
--- a/cpp/src/evaluator_plo5.cc
+++ b/cpp/src/evaluator_plo5.cc
@@ -18,11 +18,11 @@
 
 namespace phevaluator {
 
-Rank EvaluatePlo5Cards(const Card& c1, const Card& c2,
-                       const Card& c3, const Card& c4, const Card& c5,
-                       const Card& h1, const Card& h2,
-                       const Card& h3, const Card& h4, const Card& h5) {
+Rank EvaluatePlo5Cards(const Card& c1, const Card& c2, const Card& c3,
+                       const Card& c4, const Card& c5, const Card& h1,
+                       const Card& h2, const Card& h3, const Card& h4,
+                       const Card& h5) {
   return evaluate_plo5_cards(c1, c2, c3, c4, c5, h1, h2, h3, h4, h5);
 }
 
-} // namespace phevaluator
+}  // namespace phevaluator
diff --git a/cpp/src/evaluator_plo6.c b/cpp/src/evaluator_plo6.c
index fee9fc7..10ebe3b 100644
--- a/cpp/src/evaluator_plo6.c
+++ b/cpp/src/evaluator_plo6.c
@@ -26,8 +26,8 @@
  * The first five parameters are the community cards on the board
  * The last six parameters are the hole cards of the player
  */
-int evaluate_plo6_cards(int c1, int c2, int c3, int c4, int c5,
-                        int h1, int h2, int h3, int h4, int h5, int h6) {
+int evaluate_plo6_cards(int c1, int c2, int c3, int c4, int c5, int h1, int h2,
+                        int h3, int h4, int h5, int h6) {
   int value_flush = 10000;
   int value_noflush = 10000;
   int suit_count_board[4] = {0};
@@ -50,24 +50,25 @@ int evaluate_plo6_cards(int c1, int c2, int c3, int c4, int c5,
     if (suit_count_board[i] >= 3 && suit_count_hole[i] >= 2) {
       // flush
       int suit_binary_board[4] = {0};
-      suit_binary_board[c1 & 0x3] |= bit_of_div_4[c1]; // (1 << (c1 / 4))
-      suit_binary_board[c2 & 0x3] |= bit_of_div_4[c2]; // (1 << (c2 / 4))
-      suit_binary_board[c3 & 0x3] |= bit_of_div_4[c3]; // (1 << (c3 / 4))
-      suit_binary_board[c4 & 0x3] |= bit_of_div_4[c4]; // (1 << (c4 / 4))
-      suit_binary_board[c5 & 0x3] |= bit_of_div_4[c5]; // (1 << (c5 / 4))
+      suit_binary_board[c1 & 0x3] |= bit_of_div_4[c1];  // (1 << (c1 / 4))
+      suit_binary_board[c2 & 0x3] |= bit_of_div_4[c2];  // (1 << (c2 / 4))
+      suit_binary_board[c3 & 0x3] |= bit_of_div_4[c3];  // (1 << (c3 / 4))
+      suit_binary_board[c4 & 0x3] |= bit_of_div_4[c4];  // (1 << (c4 / 4))
+      suit_binary_board[c5 & 0x3] |= bit_of_div_4[c5];  // (1 << (c5 / 4))
 
       int suit_binary_hole[4] = {0};
-      suit_binary_hole[h1 & 0x3] |= bit_of_div_4[h1]; // (1 << (h1 / 4))
-      suit_binary_hole[h2 & 0x3] |= bit_of_div_4[h2]; // (1 << (h2 / 4))
-      suit_binary_hole[h3 & 0x3] |= bit_of_div_4[h3]; // (1 << (h3 / 4))
-      suit_binary_hole[h4 & 0x3] |= bit_of_div_4[h4]; // (1 << (h4 / 4))
-      suit_binary_hole[h5 & 0x3] |= bit_of_div_4[h5]; // (1 << (h5 / 4))
-      suit_binary_hole[h6 & 0x3] |= bit_of_div_4[h6]; // (1 << (h6 / 4))
+      suit_binary_hole[h1 & 0x3] |= bit_of_div_4[h1];  // (1 << (h1 / 4))
+      suit_binary_hole[h2 & 0x3] |= bit_of_div_4[h2];  // (1 << (h2 / 4))
+      suit_binary_hole[h3 & 0x3] |= bit_of_div_4[h3];  // (1 << (h3 / 4))
+      suit_binary_hole[h4 & 0x3] |= bit_of_div_4[h4];  // (1 << (h4 / 4))
+      suit_binary_hole[h5 & 0x3] |= bit_of_div_4[h5];  // (1 << (h5 / 4))
+      suit_binary_hole[h6 & 0x3] |= bit_of_div_4[h6];  // (1 << (h6 / 4))
 
       if (suit_count_board[i] == 3 && suit_count_hole[i] == 2) {
         value_flush = flush[suit_binary_board[i] | suit_binary_hole[i]];
       } else {
-        const long long final_hash = suit_binary_board[i] * 8192 +  suit_binary_hole[i];
+        const long long final_hash =
+            suit_binary_board[i] * 8192 + suit_binary_hole[i];
         value_flush = flush_plo6[final_hash];
       }
       break;
diff --git a/cpp/src/evaluator_plo6.cc b/cpp/src/evaluator_plo6.cc
index f743e2f..01d8504 100644
--- a/cpp/src/evaluator_plo6.cc
+++ b/cpp/src/evaluator_plo6.cc
@@ -18,11 +18,11 @@
 
 namespace phevaluator {
 
-Rank EvaluatePlo6Cards(const Card& c1, const Card& c2,
-                       const Card& c3, const Card& c4, const Card& c5,
-                       const Card& h1, const Card& h2, const Card& h3,
-                       const Card& h4, const Card& h5, const Card& h6) {
+Rank EvaluatePlo6Cards(const Card& c1, const Card& c2, const Card& c3,
+                       const Card& c4, const Card& c5, const Card& h1,
+                       const Card& h2, const Card& h3, const Card& h4,
+                       const Card& h5, const Card& h6) {
   return evaluate_plo6_cards(c1, c2, c3, c4, c5, h1, h2, h3, h4, h5, h6);
 }
 
-} // namespace phevaluator
+}  // namespace phevaluator
diff --git a/cpp/src/hash.c b/cpp/src/hash.c
index dfda8e5..a1671b3 100644
--- a/cpp/src/hash.c
+++ b/cpp/src/hash.c
@@ -14,29 +14,26 @@
  *  limitations under the License.
  */
 
+#include "hash.h"
+
 #include <stdio.h>
+
 #include "tables.h"
-#include "hash.h"
 
-int hash_quinary(const unsigned char q[], int k)
-{
+int hash_quinary(const unsigned char q[], int k) {
   int sum = 0;
   const int len = 13;
   int i;
 
-  for (i=0; i<len; i++)
-  {
-    sum += dp[q[i]][len-i-1][k];
+  for (i = 0; i < len; i++) {
+    sum += dp[q[i]][len - i - 1][k];
 
     k -= q[i];
 
-    if (k <= 0)
-    {
+    if (k <= 0) {
       break;
     }
   }
 
   return sum;
 }
-
-
diff --git a/cpp/src/hash.h b/cpp/src/hash.h
index 97b3f9a..c323196 100644
--- a/cpp/src/hash.h
+++ b/cpp/src/hash.h
@@ -24,7 +24,7 @@ extern "C" {
 int hash_quinary(const unsigned char q[], int k);
 
 #ifdef __cplusplus
-} //extern "C"
+}  // extern "C"
 #endif
 
-#endif // HASH_H
+#endif  // HASH_H
diff --git a/cpp/src/hashtable.c b/cpp/src/hashtable.c
index d3101c5..a7652de 100644
--- a/cpp/src/hashtable.c
+++ b/cpp/src/hashtable.c
@@ -17,1028 +17,687 @@
 #include "tables.h"
 
 const short flush[8192] = {
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  9,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  1599,
-  0,  0,  0,  0,  0,  0,  0,  1598,
-  0,  0,  0,  1597,  0,  1596,  8,  8,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  1595,
-  0,  0,  0,  0,  0,  0,  0,  1594,
-  0,  0,  0,  1593,  0,  1592,  1591,  9,
-  0,  0,  0,  0,  0,  0,  0,  1590,
-  0,  0,  0,  1589,  0,  1588,  1587,  1587,
-  0,  0,  0,  1586,  0,  1585,  1584,  1584,
-  0,  1583,  1582,  1582,  7,  7,  7,  7,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  1581,
-  0,  0,  0,  0,  0,  0,  0,  1580,
-  0,  0,  0,  1579,  0,  1578,  1577,  9,
-  0,  0,  0,  0,  0,  0,  0,  1576,
-  0,  0,  0,  1575,  0,  1574,  1573,  1573,
-  0,  0,  0,  1572,  0,  1571,  1570,  1570,
-  0,  1569,  1568,  1568,  1567,  1567,  8,  8,
-  0,  0,  0,  0,  0,  0,  0,  1566,
-  0,  0,  0,  1565,  0,  1564,  1563,  1563,
-  0,  0,  0,  1562,  0,  1561,  1560,  1560,
-  0,  1559,  1558,  1558,  1557,  1557,  1557,  9,
-  0,  0,  0,  1556,  0,  1555,  1554,  1554,
-  0,  1553,  1552,  1552,  1551,  1551,  1551,  1551,
-  0,  1550,  1549,  1549,  1548,  1548,  1548,  1548,
-  6,  6,  6,  6,  6,  6,  6,  6,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  1547,
-  0,  0,  0,  0,  0,  0,  0,  1546,
-  0,  0,  0,  1545,  0,  1544,  1543,  9,
-  0,  0,  0,  0,  0,  0,  0,  1542,
-  0,  0,  0,  1541,  0,  1540,  1539,  1539,
-  0,  0,  0,  1538,  0,  1537,  1536,  1536,
-  0,  1535,  1534,  1534,  1533,  1533,  8,  8,
-  0,  0,  0,  0,  0,  0,  0,  1532,
-  0,  0,  0,  1531,  0,  1530,  1529,  1529,
-  0,  0,  0,  1528,  0,  1527,  1526,  1526,
-  0,  1525,  1524,  1524,  1523,  1523,  1523,  9,
-  0,  0,  0,  1522,  0,  1521,  1520,  1520,
-  0,  1519,  1518,  1518,  1517,  1517,  1517,  1517,
-  0,  1516,  1515,  1515,  1514,  1514,  1514,  1514,
-  1513,  1513,  1513,  1513,  7,  7,  7,  7,
-  0,  0,  0,  0,  0,  0,  0,  1512,
-  0,  0,  0,  1511,  0,  1510,  1509,  1509,
-  0,  0,  0,  1508,  0,  1507,  1506,  1506,
-  0,  1505,  1504,  1504,  1503,  1503,  1503,  9,
-  0,  0,  0,  1502,  0,  1501,  1500,  1500,
-  0,  1499,  1498,  1498,  1497,  1497,  1497,  1497,
-  0,  1496,  1495,  1495,  1494,  1494,  1494,  1494,
-  1493,  1493,  1493,  1493,  1493,  1493,  8,  8,
-  0,  0,  0,  1492,  0,  1491,  1490,  1490,
-  0,  1489,  1488,  1488,  1487,  1487,  1487,  1487,
-  0,  1486,  1485,  1485,  1484,  1484,  1484,  1484,
-  1483,  1483,  1483,  1483,  1483,  1483,  1483,  9,
-  0,  1482,  1481,  1481,  1480,  1480,  1480,  1480,
-  1479,  1479,  1479,  1479,  1479,  1479,  1479,  1479,
-  5,  5,  5,  5,  5,  5,  5,  5,
-  5,  5,  5,  5,  5,  5,  5,  5,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  1478,
-  0,  0,  0,  0,  0,  0,  0,  1477,
-  0,  0,  0,  1476,  0,  1475,  1474,  9,
-  0,  0,  0,  0,  0,  0,  0,  1473,
-  0,  0,  0,  1472,  0,  1471,  1470,  1470,
-  0,  0,  0,  1469,  0,  1468,  1467,  1467,
-  0,  1466,  1465,  1465,  1464,  1464,  8,  8,
-  0,  0,  0,  0,  0,  0,  0,  1463,
-  0,  0,  0,  1462,  0,  1461,  1460,  1460,
-  0,  0,  0,  1459,  0,  1458,  1457,  1457,
-  0,  1456,  1455,  1455,  1454,  1454,  1454,  9,
-  0,  0,  0,  1453,  0,  1452,  1451,  1451,
-  0,  1450,  1449,  1449,  1448,  1448,  1448,  1448,
-  0,  1447,  1446,  1446,  1445,  1445,  1445,  1445,
-  1444,  1444,  1444,  1444,  7,  7,  7,  7,
-  0,  0,  0,  0,  0,  0,  0,  1443,
-  0,  0,  0,  1442,  0,  1441,  1440,  1440,
-  0,  0,  0,  1439,  0,  1438,  1437,  1437,
-  0,  1436,  1435,  1435,  1434,  1434,  1434,  9,
-  0,  0,  0,  1433,  0,  1432,  1431,  1431,
-  0,  1430,  1429,  1429,  1428,  1428,  1428,  1428,
-  0,  1427,  1426,  1426,  1425,  1425,  1425,  1425,
-  1424,  1424,  1424,  1424,  1424,  1424,  8,  8,
-  0,  0,  0,  1423,  0,  1422,  1421,  1421,
-  0,  1420,  1419,  1419,  1418,  1418,  1418,  1418,
-  0,  1417,  1416,  1416,  1415,  1415,  1415,  1415,
-  1414,  1414,  1414,  1414,  1414,  1414,  1414,  9,
-  0,  1413,  1412,  1412,  1411,  1411,  1411,  1411,
-  1410,  1410,  1410,  1410,  1410,  1410,  1410,  1410,
-  1409,  1409,  1409,  1409,  1409,  1409,  1409,  1409,
-  6,  6,  6,  6,  6,  6,  6,  6,
-  0,  0,  0,  0,  0,  0,  0,  1408,
-  0,  0,  0,  1407,  0,  1406,  1405,  1405,
-  0,  0,  0,  1404,  0,  1403,  1402,  1402,
-  0,  1401,  1400,  1400,  1399,  1399,  1399,  9,
-  0,  0,  0,  1398,  0,  1397,  1396,  1396,
-  0,  1395,  1394,  1394,  1393,  1393,  1393,  1393,
-  0,  1392,  1391,  1391,  1390,  1390,  1390,  1390,
-  1389,  1389,  1389,  1389,  1389,  1389,  8,  8,
-  0,  0,  0,  1388,  0,  1387,  1386,  1386,
-  0,  1385,  1384,  1384,  1383,  1383,  1383,  1383,
-  0,  1382,  1381,  1381,  1380,  1380,  1380,  1380,
-  1379,  1379,  1379,  1379,  1379,  1379,  1379,  9,
-  0,  1378,  1377,  1377,  1376,  1376,  1376,  1376,
-  1375,  1375,  1375,  1375,  1375,  1375,  1375,  1375,
-  1374,  1374,  1374,  1374,  1374,  1374,  1374,  1374,
-  1374,  1374,  1374,  1374,  7,  7,  7,  7,
-  0,  0,  0,  1373,  0,  1372,  1371,  1371,
-  0,  1370,  1369,  1369,  1368,  1368,  1368,  1368,
-  0,  1367,  1366,  1366,  1365,  1365,  1365,  1365,
-  1364,  1364,  1364,  1364,  1364,  1364,  1364,  9,
-  0,  1363,  1362,  1362,  1361,  1361,  1361,  1361,
-  1360,  1360,  1360,  1360,  1360,  1360,  1360,  1360,
-  1359,  1359,  1359,  1359,  1359,  1359,  1359,  1359,
-  1359,  1359,  1359,  1359,  1359,  1359,  8,  8,
-  0,  1358,  1357,  1357,  1356,  1356,  1356,  1356,
-  1355,  1355,  1355,  1355,  1355,  1355,  1355,  1355,
-  1354,  1354,  1354,  1354,  1354,  1354,  1354,  1354,
-  1354,  1354,  1354,  1354,  1354,  1354,  1354,  9,
-  4,  4,  4,  4,  4,  4,  4,  4,
-  4,  4,  4,  4,  4,  4,  4,  4,
-  4,  4,  4,  4,  4,  4,  4,  4,
-  4,  4,  4,  4,  4,  4,  4,  0,
-  0,  0,  0,  0,  0,  0,  0,  0,
-  0,  0,  0,  0,  0,  0,  0,  1353,
-  0,  0,  0,  0,  0,  0,  0,  1352,
-  0,  0,  0,  1351,  0,  1350,  1349,  9,
-  0,  0,  0,  0,  0,  0,  0,  1348,
-  0,  0,  0,  1347,  0,  1346,  1345,  1345,
-  0,  0,  0,  1344,  0,  1343,  1342,  1342,
-  0,  1341,  1340,  1340,  1339,  1339,  8,  8,
-  0,  0,  0,  0,  0,  0,  0,  1338,
-  0,  0,  0,  1337,  0,  1336,  1335,  1335,
-  0,  0,  0,  1334,  0,  1333,  1332,  1332,
-  0,  1331,  1330,  1330,  1329,  1329,  1329,  9,
-  0,  0,  0,  1328,  0,  1327,  1326,  1326,
-  0,  1325,  1324,  1324,  1323,  1323,  1323,  1323,
-  0,  1322,  1321,  1321,  1320,  1320,  1320,  1320,
-  1319,  1319,  1319,  1319,  7,  7,  7,  7,
-  0,  0,  0,  0,  0,  0,  0,  1318,
-  0,  0,  0,  1317,  0,  1316,  1315,  1315,
-  0,  0,  0,  1314,  0,  1313,  1312,  1312,
-  0,  1311,  1310,  1310,  1309,  1309,  1309,  9,
-  0,  0,  0,  1308,  0,  1307,  1306,  1306,
-  0,  1305,  1304,  1304,  1303,  1303,  1303,  1303,
-  0,  1302,  1301,  1301,  1300,  1300,  1300,  1300,
-  1299,  1299,  1299,  1299,  1299,  1299,  8,  8,
-  0,  0,  0,  1298,  0,  1297,  1296,  1296,
-  0,  1295,  1294,  1294,  1293,  1293,  1293,  1293,
-  0,  1292,  1291,  1291,  1290,  1290,  1290,  1290,
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+    367,  367,  367,  0,    367,  367,  367,  0,    367,  0,    0,    0,
+    367,  367,  367,  367,  367,  367,  367,  367,  367,  367,  367,  367,
+    367,  367,  367,  0,    367,  367,  367,  367,  367,  367,  367,  0,
+    367,  367,  367,  0,    367,  0,    0,    0,    4,    4,    4,    4,
+    4,    4,    4,    0,    4,    4,    4,    0,    4,    0,    0,    0,
+    4,    4,    4,    0,    4,    0,    0,    0,    4,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    366,  0,    365,  364,  364,
+    0,    363,  362,  362,  361,  361,  361,  10,   0,    360,  359,  359,
+    358,  358,  358,  358,  357,  357,  357,  357,  357,  357,  357,  9,
+    0,    356,  355,  355,  354,  354,  354,  354,  353,  353,  353,  353,
+    353,  353,  353,  10,   352,  352,  352,  352,  352,  352,  352,  352,
+    352,  352,  352,  352,  352,  352,  8,    8,    0,    351,  350,  350,
+    349,  349,  349,  349,  348,  348,  348,  348,  348,  348,  348,  10,
+    347,  347,  347,  347,  347,  347,  347,  347,  347,  347,  347,  347,
+    347,  347,  347,  9,    346,  346,  346,  346,  346,  346,  346,  346,
+    346,  346,  346,  346,  346,  346,  346,  10,   346,  346,  346,  346,
+    346,  346,  346,  346,  346,  346,  346,  346,  7,    7,    7,    0,
+    0,    345,  344,  344,  343,  343,  343,  343,  342,  342,  342,  342,
+    342,  342,  342,  10,   341,  341,  341,  341,  341,  341,  341,  341,
+    341,  341,  341,  341,  341,  341,  341,  9,    340,  340,  340,  340,
+    340,  340,  340,  340,  340,  340,  340,  340,  340,  340,  340,  10,
+    340,  340,  340,  340,  340,  340,  340,  340,  340,  340,  340,  340,
+    340,  340,  8,    0,    339,  339,  339,  339,  339,  339,  339,  339,
+    339,  339,  339,  339,  339,  339,  339,  10,   339,  339,  339,  339,
+    339,  339,  339,  339,  339,  339,  339,  339,  339,  339,  339,  0,
+    339,  339,  339,  339,  339,  339,  339,  339,  339,  339,  339,  339,
+    339,  339,  339,  0,    339,  339,  339,  339,  339,  339,  339,  0,
+    6,    6,    6,    0,    6,    0,    0,    0,    0,    338,  337,  337,
+    336,  336,  336,  336,  335,  335,  335,  335,  335,  335,  335,  10,
+    334,  334,  334,  334,  334,  334,  334,  334,  334,  334,  334,  334,
+    334,  334,  334,  9,    333,  333,  333,  333,  333,  333,  333,  333,
+    333,  333,  333,  333,  333,  333,  333,  10,   333,  333,  333,  333,
+    333,  333,  333,  333,  333,  333,  333,  333,  333,  333,  8,    0,
+    332,  332,  332,  332,  332,  332,  332,  332,  332,  332,  332,  332,
+    332,  332,  332,  10,   332,  332,  332,  332,  332,  332,  332,  332,
+    332,  332,  332,  332,  332,  332,  332,  0,    332,  332,  332,  332,
+    332,  332,  332,  332,  332,  332,  332,  332,  332,  332,  332,  0,
+    332,  332,  332,  332,  332,  332,  332,  0,    332,  332,  332,  0,
+    7,    0,    0,    0,    331,  331,  331,  331,  331,  331,  331,  331,
+    331,  331,  331,  331,  331,  331,  331,  10,   331,  331,  331,  331,
+    331,  331,  331,  331,  331,  331,  331,  331,  331,  331,  331,  0,
+    331,  331,  331,  331,  331,  331,  331,  331,  331,  331,  331,  331,
+    331,  331,  331,  0,    331,  331,  331,  331,  331,  331,  331,  0,
+    331,  331,  331,  0,    331,  0,    0,    0,    331,  331,  331,  331,
+    331,  331,  331,  331,  331,  331,  331,  331,  331,  331,  331,  0,
+    331,  331,  331,  331,  331,  331,  331,  0,    331,  331,  331,  0,
+    331,  0,    0,    0,    331,  331,  331,  331,  331,  331,  331,  0,
+    331,  331,  331,  0,    331,  0,    0,    0,    5,    5,    5,    0,
+    5,    0,    0,    0,    5,    0,    0,    0,    0,    0,    0,    0,
+    0,    330,  329,  329,  328,  328,  328,  328,  327,  327,  327,  327,
+    327,  327,  327,  10,   326,  326,  326,  326,  326,  326,  326,  326,
+    326,  326,  326,  326,  326,  326,  326,  9,    325,  325,  325,  325,
+    325,  325,  325,  325,  325,  325,  325,  325,  325,  325,  325,  10,
+    325,  325,  325,  325,  325,  325,  325,  325,  325,  325,  325,  325,
+    325,  325,  8,    0,    324,  324,  324,  324,  324,  324,  324,  324,
+    324,  324,  324,  324,  324,  324,  324,  10,   324,  324,  324,  324,
+    324,  324,  324,  324,  324,  324,  324,  324,  324,  324,  324,  0,
+    324,  324,  324,  324,  324,  324,  324,  324,  324,  324,  324,  324,
+    324,  324,  324,  0,    324,  324,  324,  324,  324,  324,  324,  0,
+    324,  324,  324,  0,    7,    0,    0,    0,    323,  323,  323,  323,
+    323,  323,  323,  323,  323,  323,  323,  323,  323,  323,  323,  10,
+    323,  323,  323,  323,  323,  323,  323,  323,  323,  323,  323,  323,
+    323,  323,  323,  0,    323,  323,  323,  323,  323,  323,  323,  323,
+    323,  323,  323,  323,  323,  323,  323,  0,    323,  323,  323,  323,
+    323,  323,  323,  0,    323,  323,  323,  0,    323,  0,    0,    0,
+    323,  323,  323,  323,  323,  323,  323,  323,  323,  323,  323,  323,
+    323,  323,  323,  0,    323,  323,  323,  323,  323,  323,  323,  0,
+    323,  323,  323,  0,    323,  0,    0,    0,    323,  323,  323,  323,
+    323,  323,  323,  0,    323,  323,  323,  0,    323,  0,    0,    0,
+    323,  323,  323,  0,    323,  0,    0,    0,    6,    0,    0,    0,
+    0,    0,    0,    0,    1,    1,    1,    1,    1,    1,    1,    1,
+    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
+    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    0,
+    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
+    1,    1,    1,    0,    1,    1,    1,    1,    1,    1,    1,    0,
+    1,    1,    1,    0,    1,    0,    0,    0,    1,    1,    1,    1,
+    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    0,
+    1,    1,    1,    1,    1,    1,    1,    0,    1,    1,    1,    0,
+    1,    0,    0,    0,    1,    1,    1,    1,    1,    1,    1,    0,
+    1,    1,    1,    0,    1,    0,    0,    0,    1,    1,    1,    0,
+    1,    0,    0,    0,    1,    0,    0,    0,    0,    0,    0,    0,
+    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,    1,
+    1,    1,    1,    0,    1,    1,    1,    1,    1,    1,    1,    0,
+    1,    1,    1,    0,    1,    0,    0,    0,    1,    1,    1,    1,
+    1,    1,    1,    0,    1,    1,    1,    0,    1,    0,    0,    0,
+    1,    1,    1,    0,    1,    0,    0,    0,    1,    0,    0,    0,
+    0,    0,    0,    0,    1,    1,    1,    1,    1,    1,    1,    0,
+    1,    1,    1,    0,    1,    0,    0,    0,    1,    1,    1,    0,
+    1,    0,    0,    0,    1,    0,    0,    0,    0,    0,    0,    0,
+    1,    1,    1,    0,    1,    0,    0,    0,    1,    0,    0,    0,
+    0,    0,    0,    0,    1,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,
 };
diff --git a/cpp/src/hashtable5.c b/cpp/src/hashtable5.c
index fbe7e73..9c2ea3f 100644
--- a/cpp/src/hashtable5.c
+++ b/cpp/src/hashtable5.c
@@ -17,777 +17,519 @@
 #include "tables.h"
 
 const short noflush5[6175] = {
-  11,  167,  179,  23,  12,  1610,  2468,  1676,
-  24,  168,  2479,  2600,  180,  191,  1742,  192,
-  35,  36,  13,  1611,  2469,  1677,  25,  1621,
-  3326,  3546,  1687,  2480,  3766,  2601,  1743,  1753,
-  37,  169,  2490,  2611,  181,  2491,  3986,  2612,
-  2721,  2722,  193,  203,  1808,  204,  1809,  1819,
-  205,  47,  48,  49,  14,  1612,  2470,  1678,
-  26,  1622,  3327,  3547,  1688,  2481,  3767,  2602,
-  1744,  1754,  38,  1631,  3336,  3556,  1697,  3381,
-  1600,  3601,  3776,  3821,  1763,  2492,  3987,  2613,
-  3996,  4041,  2723,  1810,  1820,  1829,  50,  170,
-  2501,  2622,  182,  2502,  4206,  2623,  2732,  2733,
-  194,  2503,  4207,  2624,  4216,  4261,  2734,  2831,
-  2832,  2833,  206,  215,  1874,  216,  1875,  1885,
-  217,  1876,  1886,  1895,  218,  59,  60,  61,
-  62,  15,  1613,  2471,  1679,  27,  1623,  3328,
-  3548,  1689,  2482,  3768,  2603,  1745,  1755,  39,
-  1632,  3337,  3557,  1698,  3382,  6186,  3602,  3777,
-  3822,  1764,  2493,  3988,  2614,  3997,  4042,  2724,
-  1811,  1821,  1830,  51,  1640,  3345,  3565,  1706,
-  3390,  6194,  3610,  3785,  3830,  1772,  3426,  6230,
-  3646,  6350,  1601,  3866,  4005,  4050,  4086,  1838,
-  2504,  4208,  2625,  4217,  4262,  2735,  4225,  4270,
-  4306,  2834,  1877,  1887,  1896,  1904,  63,  171,
-  2512,  2633,  183,  2513,  4426,  2634,  2743,  2744,
-  195,  2514,  4427,  2635,  4436,  4481,  2745,  2842,
-  2843,  2844,  207,  2515,  4428,  2636,  4437,  4482,
-  2746,  4445,  4490,  4526,  2845,  2930,  2931,  2932,
-  2933,  219,  227,  1940,  228,  1941,  1951,  229,
-  1942,  1952,  1961,  230,  1943,  1953,  1962,  1970,
-  231,  71,  72,  73,  74,  75,  16,  1614,
-  2472,  1680,  28,  1624,  3329,  3549,  1690,  2483,
-  3769,  2604,  1746,  1756,  40,  1633,  3338,  3558,
-  1699,  3383,  6187,  3603,  3778,  3823,  1765,  2494,
-  3989,  2615,  3998,  4043,  2725,  1812,  1822,  1831,
-  52,  1641,  3346,  3566,  1707,  3391,  6195,  3611,
-  3786,  3831,  1773,  3427,  6231,  3647,  6351,  6679,
-  3867,  4006,  4051,  4087,  1839,  2505,  4209,  2626,
-  4218,  4263,  2736,  4226,  4271,  4307,  2835,  1878,
-  1888,  1897,  1905,  64,  1648,  3353,  3573,  1714,
-  3398,  6202,  3618,  3793,  3838,  1780,  3434,  6238,
-  3654,  6358,  6686,  3874,  4013,  4058,  4094,  1846,
-  3462,  6266,  3682,  6386,  6714,  3902,  6470,  6798,
-  1602,  4122,  4233,  4278,  4314,  4342,  1912,  2516,
-  4429,  2637,  4438,  4483,  2747,  4446,  4491,  4527,
-  2846,  4453,  4498,  4534,  4562,  2934,  1944,  1954,
-  1963,  1971,  1978,  76,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2525,  4647,
-  2646,  4656,  4701,  2756,  2853,  2854,  2855,  208,
-  2526,  4648,  2647,  4657,  4702,  2757,  4665,  4710,
-  4746,  2856,  2941,  2942,  2943,  2944,  220,  2527,
-  4649,  2648,  4658,  4703,  2758,  4666,  4711,  4747,
-  2857,  4673,  4718,  4754,  4782,  2945,  3018,  3019,
-  3020,  3021,  3022,  232,  239,  2006,  240,  2007,
-  2017,  241,  2008,  2018,  2027,  242,  2009,  2019,
-  2028,  2036,  243,  2010,  2020,  2029,  2037,  2044,
-  244,  83,  84,  85,  86,  87,  88,  17,
-  1615,  2473,  1681,  29,  1625,  3330,  3550,  1691,
-  2484,  3770,  2605,  1747,  1757,  41,  1634,  3339,
-  3559,  1700,  3384,  6188,  3604,  3779,  3824,  1766,
-  2495,  3990,  2616,  3999,  4044,  2726,  1813,  1823,
-  1832,  53,  1642,  3347,  3567,  1708,  3392,  6196,
-  3612,  3787,  3832,  1774,  3428,  6232,  3648,  6352,
-  6680,  3868,  4007,  4052,  4088,  1840,  2506,  4210,
-  2627,  4219,  4264,  2737,  4227,  4272,  4308,  2836,
-  1879,  1889,  1898,  1906,  65,  1649,  3354,  3574,
-  1715,  3399,  6203,  3619,  3794,  3839,  1781,  3435,
-  6239,  3655,  6359,  6687,  3875,  4014,  4059,  4095,
-  1847,  3463,  6267,  3683,  6387,  6715,  3903,  6471,
-  6799,  7008,  4123,  4234,  4279,  4315,  4343,  1913,
-  2517,  4430,  2638,  4439,  4484,  2748,  4447,  4492,
-  4528,  2847,  4454,  4499,  4535,  4563,  2935,  1945,
-  1955,  1964,  1972,  1979,  77,  1655,  3360,  3580,
-  1721,  3405,  6209,  3625,  3800,  3845,  1787,  3441,
-  6245,  3661,  6365,  6693,  3881,  4020,  4065,  4101,
-  1853,  3469,  6273,  3689,  6393,  6721,  3909,  6477,
-  6805,  7014,  4129,  4240,  4285,  4321,  4349,  1919,
-  3490,  6294,  3710,  6414,  6742,  3930,  6498,  6826,
-  7035,  4150,  6554,  6882,  7091,  1603,  4370,  4460,
-  4505,  4541,  4569,  4590,  1985,  2528,  4650,  2649,
-  4659,  4704,  2759,  4667,  4712,  4748,  2858,  4674,
-  4719,  4755,  4783,  2946,  4680,  4725,  4761,  4789,
-  4810,  3023,  2011,  2021,  2030,  2038,  2045,  2051,
-  89,  173,  2534,  2655,  185,  2535,  4866,  2656,
-  2765,  2766,  197,  2536,  4867,  2657,  4876,  4921,
-  2767,  2864,  2865,  2866,  209,  2537,  4868,  2658,
-  4877,  4922,  2768,  4885,  4930,  4966,  2867,  2952,
-  2953,  2954,  2955,  221,  2538,  4869,  2659,  4878,
-  4923,  2769,  4886,  4931,  4967,  2868,  4893,  4938,
-  4974,  5002,  2956,  3029,  3030,  3031,  3032,  3033,
-  233,  2539,  4870,  2660,  4879,  4924,  2770,  4887,
-  4932,  4968,  2869,  4894,  4939,  4975,  5003,  2957,
-  4900,  4945,  4981,  5009,  5030,  3034,  3095,  3096,
-  3097,  3098,  3099,  3100,  245,  251,  2072,  252,
-  2073,  2083,  253,  2074,  2084,  2093,  254,  2075,
-  2085,  2094,  2102,  255,  2076,  2086,  2095,  2103,
-  2110,  256,  2077,  2087,  2096,  2104,  2111,  2117,
-  257,  95,  96,  97,  98,  99,  100,  101,
-  18,  1616,  2474,  1682,  30,  1626,  3331,  3551,
-  1692,  2485,  3771,  2606,  1748,  1758,  42,  1635,
-  3340,  3560,  1701,  3385,  6189,  3605,  3780,  3825,
-  1767,  2496,  3991,  2617,  4000,  4045,  2727,  1814,
-  1824,  1833,  54,  1643,  3348,  3568,  1709,  3393,
-  6197,  3613,  3788,  3833,  1775,  3429,  6233,  3649,
-  6353,  6681,  3869,  4008,  4053,  4089,  1841,  2507,
-  4211,  2628,  4220,  4265,  2738,  4228,  4273,  4309,
-  2837,  1880,  1890,  1899,  1907,  66,  1650,  3355,
-  3575,  1716,  3400,  6204,  3620,  3795,  3840,  1782,
-  3436,  6240,  3656,  6360,  6688,  3876,  4015,  4060,
-  4096,  1848,  3464,  6268,  3684,  6388,  6716,  3904,
-  6472,  6800,  7009,  4124,  4235,  4280,  4316,  4344,
-  1914,  2518,  4431,  2639,  4440,  4485,  2749,  4448,
-  4493,  4529,  2848,  4455,  4500,  4536,  4564,  2936,
-  1946,  1956,  1965,  1973,  1980,  78,  1656,  3361,
-  3581,  1722,  3406,  6210,  3626,  3801,  3846,  1788,
-  3442,  6246,  3662,  6366,  6694,  3882,  4021,  4066,
-  4102,  1854,  3470,  6274,  3690,  6394,  6722,  3910,
-  6478,  6806,  7015,  4130,  4241,  4286,  4322,  4350,
-  1920,  3491,  6295,  3711,  6415,  6743,  3931,  6499,
-  6827,  7036,  4151,  6555,  6883,  7092,  7217,  4371,
-  4461,  4506,  4542,  4570,  4591,  1986,  2529,  4651,
-  2650,  4660,  4705,  2760,  4668,  4713,  4749,  2859,
-  4675,  4720,  4756,  4784,  2947,  4681,  4726,  4762,
-  4790,  4811,  3024,  2012,  2022,  2031,  2039,  2046,
-  2052,  90,  1661,  3366,  3586,  1727,  3411,  6215,
-  3631,  3806,  3851,  1793,  3447,  6251,  3667,  6371,
-  6699,  3887,  4026,  4071,  4107,  1859,  3475,  6279,
-  3695,  6399,  6727,  3915,  6483,  6811,  7020,  4135,
-  4246,  4291,  4327,  4355,  1925,  3496,  6300,  3716,
-  6420,  6748,  3936,  6504,  6832,  7041,  4156,  6560,
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+    1985, 2528, 4650, 2649, 4659, 4704, 2759, 4667, 4712, 4748, 2858, 4674,
+    4719, 4755, 4783, 2946, 4680, 4725, 4761, 4789, 4810, 3023, 2011, 2021,
+    2030, 2038, 2045, 2051, 89,   173,  2534, 2655, 185,  2535, 4866, 2656,
+    2765, 2766, 197,  2536, 4867, 2657, 4876, 4921, 2767, 2864, 2865, 2866,
+    209,  2537, 4868, 2658, 4877, 4922, 2768, 4885, 4930, 4966, 2867, 2952,
+    2953, 2954, 2955, 221,  2538, 4869, 2659, 4878, 4923, 2769, 4886, 4931,
+    4967, 2868, 4893, 4938, 4974, 5002, 2956, 3029, 3030, 3031, 3032, 3033,
+    233,  2539, 4870, 2660, 4879, 4924, 2770, 4887, 4932, 4968, 2869, 4894,
+    4939, 4975, 5003, 2957, 4900, 4945, 4981, 5009, 5030, 3034, 3095, 3096,
+    3097, 3098, 3099, 3100, 245,  251,  2072, 252,  2073, 2083, 253,  2074,
+    2084, 2093, 254,  2075, 2085, 2094, 2102, 255,  2076, 2086, 2095, 2103,
+    2110, 256,  2077, 2087, 2096, 2104, 2111, 2117, 257,  95,   96,   97,
+    98,   99,   100,  101,  18,   1616, 2474, 1682, 30,   1626, 3331, 3551,
+    1692, 2485, 3771, 2606, 1748, 1758, 42,   1635, 3340, 3560, 1701, 3385,
+    6189, 3605, 3780, 3825, 1767, 2496, 3991, 2617, 4000, 4045, 2727, 1814,
+    1824, 1833, 54,   1643, 3348, 3568, 1709, 3393, 6197, 3613, 3788, 3833,
+    1775, 3429, 6233, 3649, 6353, 6681, 3869, 4008, 4053, 4089, 1841, 2507,
+    4211, 2628, 4220, 4265, 2738, 4228, 4273, 4309, 2837, 1880, 1890, 1899,
+    1907, 66,   1650, 3355, 3575, 1716, 3400, 6204, 3620, 3795, 3840, 1782,
+    3436, 6240, 3656, 6360, 6688, 3876, 4015, 4060, 4096, 1848, 3464, 6268,
+    3684, 6388, 6716, 3904, 6472, 6800, 7009, 4124, 4235, 4280, 4316, 4344,
+    1914, 2518, 4431, 2639, 4440, 4485, 2749, 4448, 4493, 4529, 2848, 4455,
+    4500, 4536, 4564, 2936, 1946, 1956, 1965, 1973, 1980, 78,   1656, 3361,
+    3581, 1722, 3406, 6210, 3626, 3801, 3846, 1788, 3442, 6246, 3662, 6366,
+    6694, 3882, 4021, 4066, 4102, 1854, 3470, 6274, 3690, 6394, 6722, 3910,
+    6478, 6806, 7015, 4130, 4241, 4286, 4322, 4350, 1920, 3491, 6295, 3711,
+    6415, 6743, 3931, 6499, 6827, 7036, 4151, 6555, 6883, 7092, 7217, 4371,
+    4461, 4506, 4542, 4570, 4591, 1986, 2529, 4651, 2650, 4660, 4705, 2760,
+    4668, 4713, 4749, 2859, 4675, 4720, 4756, 4784, 2947, 4681, 4726, 4762,
+    4790, 4811, 3024, 2012, 2022, 2031, 2039, 2046, 2052, 90,   1661, 3366,
+    3586, 1727, 3411, 6215, 3631, 3806, 3851, 1793, 3447, 6251, 3667, 6371,
+    6699, 3887, 4026, 4071, 4107, 1859, 3475, 6279, 3695, 6399, 6727, 3915,
+    6483, 6811, 7020, 4135, 4246, 4291, 4327, 4355, 1925, 3496, 6300, 3716,
+    6420, 6748, 3936, 6504, 6832, 7041, 4156, 6560, 6888, 7097, 7222, 4376,
+    4466, 4511, 4547, 4575, 4596, 1991, 3511, 6315, 3731, 6435, 6763, 3951,
+    6519, 6847, 7056, 4171, 6575, 6903, 7112, 7237, 4391, 6610, 6938, 7147,
+    7272, 1604, 4611, 4686, 4731, 4767, 4795, 4816, 4831, 2057, 2540, 4871,
+    2661, 4880, 4925, 2771, 4888, 4933, 4969, 2870, 4895, 4940, 4976, 5004,
+    2958, 4901, 4946, 4982, 5010, 5031, 3035, 4906, 4951, 4987, 5015, 5036,
+    5051, 3101, 2078, 2088, 2097, 2105, 2112, 2118, 2123, 102,  174,  2545,
+    2666, 186,  2546, 5086, 2667, 2776, 2777, 198,  2547, 5087, 2668, 5096,
+    5141, 2778, 2875, 2876, 2877, 210,  2548, 5088, 2669, 5097, 5142, 2779,
+    5105, 5150, 5186, 2878, 2963, 2964, 2965, 2966, 222,  2549, 5089, 2670,
+    5098, 5143, 2780, 5106, 5151, 5187, 2879, 5113, 5158, 5194, 5222, 2967,
+    3040, 3041, 3042, 3043, 3044, 234,  2550, 5090, 2671, 5099, 5144, 2781,
+    5107, 5152, 5188, 2880, 5114, 5159, 5195, 5223, 2968, 5120, 5165, 5201,
+    5229, 5250, 3045, 3106, 3107, 3108, 3109, 3110, 3111, 246,  2551, 5091,
+    2672, 5100, 5145, 2782, 5108, 5153, 5189, 2881, 5115, 5160, 5196, 5224,
+    2969, 5121, 5166, 5202, 5230, 5251, 3046, 5126, 5171, 5207, 5235, 5256,
+    5271, 3112, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 258,  263,  2138,
+    264,  2139, 2149, 265,  2140, 2150, 2159, 266,  2141, 2151, 2160, 2168,
+    267,  2142, 2152, 2161, 2169, 2176, 268,  2143, 2153, 2162, 2170, 2177,
+    2183, 269,  2144, 2154, 2163, 2171, 2178, 2184, 2189, 270,  107,  108,
+    109,  110,  111,  112,  113,  114,  19,   1617, 2475, 1683, 31,   1627,
+    3332, 3552, 1693, 2486, 3772, 2607, 1749, 1759, 43,   1636, 3341, 3561,
+    1702, 3386, 6190, 3606, 3781, 3826, 1768, 2497, 3992, 2618, 4001, 4046,
+    2728, 1815, 1825, 1834, 55,   1644, 3349, 3569, 1710, 3394, 6198, 3614,
+    3789, 3834, 1776, 3430, 6234, 3650, 6354, 6682, 3870, 4009, 4054, 4090,
+    1842, 2508, 4212, 2629, 4221, 4266, 2739, 4229, 4274, 4310, 2838, 1881,
+    1891, 1900, 1908, 67,   1651, 3356, 3576, 1717, 3401, 6205, 3621, 3796,
+    3841, 1783, 3437, 6241, 3657, 6361, 6689, 3877, 4016, 4061, 4097, 1849,
+    3465, 6269, 3685, 6389, 6717, 3905, 6473, 6801, 7010, 4125, 4236, 4281,
+    4317, 4345, 1915, 2519, 4432, 2640, 4441, 4486, 2750, 4449, 4494, 4530,
+    2849, 4456, 4501, 4537, 4565, 2937, 1947, 1957, 1966, 1974, 1981, 79,
+    1657, 3362, 3582, 1723, 3407, 6211, 3627, 3802, 3847, 1789, 3443, 6247,
+    3663, 6367, 6695, 3883, 4022, 4067, 4103, 1855, 3471, 6275, 3691, 6395,
+    6723, 3911, 6479, 6807, 7016, 4131, 4242, 4287, 4323, 4351, 1921, 3492,
+    6296, 3712, 6416, 6744, 3932, 6500, 6828, 7037, 4152, 6556, 6884, 7093,
+    7218, 4372, 4462, 4507, 4543, 4571, 4592, 1987, 2530, 4652, 2651, 4661,
+    4706, 2761, 4669, 4714, 4750, 2860, 4676, 4721, 4757, 4785, 2948, 4682,
+    4727, 4763, 4791, 4812, 3025, 2013, 2023, 2032, 2040, 2047, 2053, 91,
+    1662, 3367, 3587, 1728, 3412, 6216, 3632, 3807, 3852, 1794, 3448, 6252,
+    3668, 6372, 6700, 3888, 4027, 4072, 4108, 1860, 3476, 6280, 3696, 6400,
+    6728, 3916, 6484, 6812, 7021, 4136, 4247, 4292, 4328, 4356, 1926, 3497,
+    6301, 3717, 6421, 6749, 3937, 6505, 6833, 7042, 4157, 6561, 6889, 7098,
+    7223, 4377, 4467, 4512, 4548, 4576, 4597, 1992, 3512, 6316, 3732, 6436,
+    6764, 3952, 6520, 6848, 7057, 4172, 6576, 6904, 7113, 7238, 4392, 6611,
+    6939, 7148, 7273, 7342, 4612, 4687, 4732, 4768, 4796, 4817, 4832, 2058,
+    2541, 4872, 2662, 4881, 4926, 2772, 4889, 4934, 4970, 2871, 4896, 4941,
+    4977, 5005, 2959, 4902, 4947, 4983, 5011, 5032, 3036, 4907, 4952, 4988,
+    5016, 5037, 5052, 3102, 2079, 2089, 2098, 2106, 2113, 2119, 2124, 103,
+    1666, 3371, 3591, 1732, 3416, 6220, 3636, 3811, 3856, 1798, 3452, 6256,
+    3672, 6376, 6704, 3892, 4031, 4076, 4112, 1864, 3480, 6284, 3700, 6404,
+    6732, 3920, 6488, 6816, 7025, 4140, 4251, 4296, 4332, 4360, 1930, 3501,
+    6305, 3721, 6425, 6753, 3941, 6509, 6837, 7046, 4161, 6565, 6893, 7102,
+    7227, 4381, 4471, 4516, 4552, 4580, 4601, 1996, 3516, 6320, 3736, 6440,
+    6768, 3956, 6524, 6852, 7061, 4176, 6580, 6908, 7117, 7242, 4396, 6615,
+    6943, 7152, 7277, 7346, 4616, 4691, 4736, 4772, 4800, 4821, 4836, 2062,
+    3526, 6330, 3746, 6450, 6778, 3966, 6534, 6862, 7071, 4186, 6590, 6918,
+    7127, 7252, 4406, 6625, 6953, 7162, 7287, 7356, 4626, 6645, 6973, 7182,
+    7307, 7376, 1605, 4846, 4911, 4956, 4992, 5020, 5041, 5056, 5066, 2128,
+    2552, 5092, 2673, 5101, 5146, 2783, 5109, 5154, 5190, 2882, 5116, 5161,
+    5197, 5225, 2970, 5122, 5167, 5203, 5231, 5252, 3047, 5127, 5172, 5208,
+    5236, 5257, 5272, 3113, 5131, 5176, 5212, 5240, 5261, 5276, 5286, 3168,
+    2145, 2155, 2164, 2172, 2179, 2185, 2190, 2194, 115,  175,  2556, 2677,
+    187,  2557, 5306, 2678, 2787, 2788, 199,  2558, 5307, 2679, 5316, 5361,
+    2789, 2886, 2887, 2888, 211,  2559, 5308, 2680, 5317, 5362, 2790, 5325,
+    5370, 5406, 2889, 2974, 2975, 2976, 2977, 223,  2560, 5309, 2681, 5318,
+    5363, 2791, 5326, 5371, 5407, 2890, 5333, 5378, 5414, 5442, 2978, 3051,
+    3052, 3053, 3054, 3055, 235,  2561, 5310, 2682, 5319, 5364, 2792, 5327,
+    5372, 5408, 2891, 5334, 5379, 5415, 5443, 2979, 5340, 5385, 5421, 5449,
+    5470, 3056, 3117, 3118, 3119, 3120, 3121, 3122, 247,  2562, 5311, 2683,
+    5320, 5365, 2793, 5328, 5373, 5409, 2892, 5335, 5380, 5416, 5444, 2980,
+    5341, 5386, 5422, 5450, 5471, 3057, 5346, 5391, 5427, 5455, 5476, 5491,
+    3123, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 259,  2563, 5312, 2684,
+    5321, 5366, 2794, 5329, 5374, 5410, 2893, 5336, 5381, 5417, 5445, 2981,
+    5342, 5387, 5423, 5451, 5472, 3058, 5347, 5392, 5428, 5456, 5477, 5492,
+    3124, 5351, 5396, 5432, 5460, 5481, 5496, 5506, 3179, 3216, 3217, 3218,
+    3219, 3220, 3221, 3222, 3223, 271,  275,  2204, 276,  2205, 2215, 277,
+    2206, 2216, 2225, 278,  2207, 2217, 2226, 2234, 279,  2208, 2218, 2227,
+    2235, 2242, 280,  2209, 2219, 2228, 2236, 2243, 2249, 281,  2210, 2220,
+    2229, 2237, 2244, 2250, 2255, 282,  2211, 2221, 2230, 2238, 2245, 2251,
+    2256, 2260, 283,  119,  120,  121,  122,  123,  124,  125,  126,  127,
+    20,   1618, 2476, 1684, 32,   1628, 3333, 3553, 1694, 2487, 3773, 2608,
+    1750, 1760, 44,   1637, 3342, 3562, 1703, 3387, 6191, 3607, 3782, 3827,
+    1769, 2498, 3993, 2619, 4002, 4047, 2729, 1816, 1826, 1835, 56,   1645,
+    3350, 3570, 1711, 3395, 6199, 3615, 3790, 3835, 1777, 3431, 6235, 3651,
+    6355, 6683, 3871, 4010, 4055, 4091, 1843, 2509, 4213, 2630, 4222, 4267,
+    2740, 4230, 4275, 4311, 2839, 1882, 1892, 1901, 1909, 68,   1652, 3357,
+    3577, 1718, 3402, 6206, 3622, 3797, 3842, 1784, 3438, 6242, 3658, 6362,
+    6690, 3878, 4017, 4062, 4098, 1850, 3466, 6270, 3686, 6390, 6718, 3906,
+    6474, 6802, 7011, 4126, 4237, 4282, 4318, 4346, 1916, 2520, 4433, 2641,
+    4442, 4487, 2751, 4450, 4495, 4531, 2850, 4457, 4502, 4538, 4566, 2938,
+    1948, 1958, 1967, 1975, 1982, 80,   1658, 3363, 3583, 1724, 3408, 6212,
+    3628, 3803, 3848, 1790, 3444, 6248, 3664, 6368, 6696, 3884, 4023, 4068,
+    4104, 1856, 3472, 6276, 3692, 6396, 6724, 3912, 6480, 6808, 7017, 4132,
+    4243, 4288, 4324, 4352, 1922, 3493, 6297, 3713, 6417, 6745, 3933, 6501,
+    6829, 7038, 4153, 6557, 6885, 7094, 7219, 4373, 4463, 4508, 4544, 4572,
+    4593, 1988, 2531, 4653, 2652, 4662, 4707, 2762, 4670, 4715, 4751, 2861,
+    4677, 4722, 4758, 4786, 2949, 4683, 4728, 4764, 4792, 4813, 3026, 2014,
+    2024, 2033, 2041, 2048, 2054, 92,   1663, 3368, 3588, 1729, 3413, 6217,
+    3633, 3808, 3853, 1795, 3449, 6253, 3669, 6373, 6701, 3889, 4028, 4073,
+    4109, 1861, 3477, 6281, 3697, 6401, 6729, 3917, 6485, 6813, 7022, 4137,
+    4248, 4293, 4329, 4357, 1927, 3498, 6302, 3718, 6422, 6750, 3938, 6506,
+    6834, 7043, 4158, 6562, 6890, 7099, 7224, 4378, 4468, 4513, 4549, 4577,
+    4598, 1993, 3513, 6317, 3733, 6437, 6765, 3953, 6521, 6849, 7058, 4173,
+    6577, 6905, 7114, 7239, 4393, 6612, 6940, 7149, 7274, 7343, 4613, 4688,
+    4733, 4769, 4797, 4818, 4833, 2059, 2542, 4873, 2663, 4882, 4927, 2773,
+    4890, 4935, 4971, 2872, 4897, 4942, 4978, 5006, 2960, 4903, 4948, 4984,
+    5012, 5033, 3037, 4908, 4953, 4989, 5017, 5038, 5053, 3103, 2080, 2090,
+    2099, 2107, 2114, 2120, 2125, 104,  1667, 3372, 3592, 1733, 3417, 6221,
+    3637, 3812, 3857, 1799, 3453, 6257, 3673, 6377, 6705, 3893, 4032, 4077,
+    4113, 1865, 3481, 6285, 3701, 6405, 6733, 3921, 6489, 6817, 7026, 4141,
+    4252, 4297, 4333, 4361, 1931, 3502, 6306, 3722, 6426, 6754, 3942, 6510,
+    6838, 7047, 4162, 6566, 6894, 7103, 7228, 4382, 4472, 4517, 4553, 4581,
+    4602, 1997, 3517, 6321, 3737, 6441, 6769, 3957, 6525, 6853, 7062, 4177,
+    6581, 6909, 7118, 7243, 4397, 6616, 6944, 7153, 7278, 7347, 4617, 4692,
+    4737, 4773, 4801, 4822, 4837, 2063, 3527, 6331, 3747, 6451, 6779, 3967,
+    6535, 6863, 7072, 4187, 6591, 6919, 7128, 7253, 4407, 6626, 6954, 7163,
+    7288, 7357, 4627, 6646, 6974, 7183, 7308, 7377, 7411, 4847, 4912, 4957,
+    4993, 5021, 5042, 5057, 5067, 2129, 2553, 5093, 2674, 5102, 5147, 2784,
+    5110, 5155, 5191, 2883, 5117, 5162, 5198, 5226, 2971, 5123, 5168, 5204,
+    5232, 5253, 3048, 5128, 5173, 5209, 5237, 5258, 5273, 3114, 5132, 5177,
+    5213, 5241, 5262, 5277, 5287, 3169, 2146, 2156, 2165, 2173, 2180, 2186,
+    2191, 2195, 116,  1670, 3375, 3595, 1736, 3420, 6224, 3640, 3815, 3860,
+    1802, 3456, 6260, 3676, 6380, 6708, 3896, 4035, 4080, 4116, 1868, 3484,
+    6288, 3704, 6408, 6736, 3924, 6492, 6820, 7029, 4144, 4255, 4300, 4336,
+    4364, 1934, 3505, 6309, 3725, 6429, 6757, 3945, 6513, 6841, 7050, 4165,
+    6569, 6897, 7106, 7231, 4385, 4475, 4520, 4556, 4584, 4605, 2000, 3520,
+    6324, 3740, 6444, 6772, 3960, 6528, 6856, 7065, 4180, 6584, 6912, 7121,
+    7246, 4400, 6619, 6947, 7156, 7281, 7350, 4620, 4695, 4740, 4776, 4804,
+    4825, 4840, 2066, 3530, 6334, 3750, 6454, 6782, 3970, 6538, 6866, 7075,
+    4190, 6594, 6922, 7131, 7256, 4410, 6629, 6957, 7166, 7291, 7360, 4630,
+    6649, 6977, 7186, 7311, 7380, 7414, 4850, 4915, 4960, 4996, 5024, 5045,
+    5060, 5070, 2132, 3536, 6340, 3756, 6460, 6788, 3976, 6544, 6872, 7081,
+    4196, 6600, 6928, 7137, 7262, 4416, 6635, 6963, 7172, 7297, 7366, 4636,
+    6655, 6983, 7192, 7317, 7386, 7420, 4856, 6665, 6993, 7202, 7327, 7396,
+    7430, 1606, 5076, 5135, 5180, 5216, 5244, 5265, 5280, 5290, 5296, 2198,
+    2564, 5313, 2685, 5322, 5367, 2795, 5330, 5375, 5411, 2894, 5337, 5382,
+    5418, 5446, 2982, 5343, 5388, 5424, 5452, 5473, 3059, 5348, 5393, 5429,
+    5457, 5478, 5493, 3125, 5352, 5397, 5433, 5461, 5482, 5497, 5507, 3180,
+    5355, 5400, 5436, 5464, 5485, 5500, 5510, 5516, 3224, 2212, 2222, 2231,
+    2239, 2246, 2252, 2257, 2261, 2264, 128,  176,  2567, 2688, 188,  2568,
+    5526, 2689, 2798, 2799, 200,  2569, 5527, 2690, 5536, 5581, 2800, 2897,
+    2898, 2899, 212,  2570, 5528, 2691, 5537, 5582, 2801, 5545, 5590, 5626,
+    2900, 2985, 2986, 2987, 2988, 224,  2571, 5529, 2692, 5538, 5583, 2802,
+    5546, 5591, 5627, 2901, 5553, 5598, 5634, 5662, 2989, 3062, 3063, 3064,
+    3065, 3066, 236,  2572, 5530, 2693, 5539, 5584, 2803, 5547, 5592, 5628,
+    2902, 5554, 5599, 5635, 5663, 2990, 5560, 5605, 5641, 5669, 5690, 3067,
+    3128, 3129, 3130, 3131, 3132, 3133, 248,  2573, 5531, 2694, 5540, 5585,
+    2804, 5548, 5593, 5629, 2903, 5555, 5600, 5636, 5664, 2991, 5561, 5606,
+    5642, 5670, 5691, 3068, 5566, 5611, 5647, 5675, 5696, 5711, 3134, 3183,
+    3184, 3185, 3186, 3187, 3188, 3189, 260,  2574, 5532, 2695, 5541, 5586,
+    2805, 5549, 5594, 5630, 2904, 5556, 5601, 5637, 5665, 2992, 5562, 5607,
+    5643, 5671, 5692, 3069, 5567, 5612, 5648, 5676, 5697, 5712, 3135, 5571,
+    5616, 5652, 5680, 5701, 5716, 5726, 3190, 3227, 3228, 3229, 3230, 3231,
+    3232, 3233, 3234, 272,  2575, 5533, 2696, 5542, 5587, 2806, 5550, 5595,
+    5631, 2905, 5557, 5602, 5638, 5666, 2993, 5563, 5608, 5644, 5672, 5693,
+    3070, 5568, 5613, 5649, 5677, 5698, 5713, 3136, 5572, 5617, 5653, 5681,
+    5702, 5717, 5727, 3191, 5575, 5620, 5656, 5684, 5705, 5720, 5730, 5736,
+    3235, 3260, 3261, 3262, 3263, 3264, 3265, 3266, 3267, 3268, 284,  287,
+    2270, 288,  2271, 2281, 289,  2272, 2282, 2291, 290,  2273, 2283, 2292,
+    2300, 291,  2274, 2284, 2293, 2301, 2308, 292,  2275, 2285, 2294, 2302,
+    2309, 2315, 293,  2276, 2286, 2295, 2303, 2310, 2316, 2321, 294,  2277,
+    2287, 2296, 2304, 2311, 2317, 2322, 2326, 295,  2278, 2288, 2297, 2305,
+    2312, 2318, 2323, 2327, 2330, 296,  131,  132,  133,  134,  135,  136,
+    137,  138,  139,  140,  21,   1619, 2477, 1685, 33,   1629, 3334, 3554,
+    1695, 2488, 3774, 2609, 1751, 1761, 45,   1638, 3343, 3563, 1704, 3388,
+    6192, 3608, 3783, 3828, 1770, 2499, 3994, 2620, 4003, 4048, 2730, 1817,
+    1827, 1836, 57,   1646, 3351, 3571, 1712, 3396, 6200, 3616, 3791, 3836,
+    1778, 3432, 6236, 3652, 6356, 6684, 3872, 4011, 4056, 4092, 1844, 2510,
+    4214, 2631, 4223, 4268, 2741, 4231, 4276, 4312, 2840, 1883, 1893, 1902,
+    1910, 69,   1653, 3358, 3578, 1719, 3403, 6207, 3623, 3798, 3843, 1785,
+    3439, 6243, 3659, 6363, 6691, 3879, 4018, 4063, 4099, 1851, 3467, 6271,
+    3687, 6391, 6719, 3907, 6475, 6803, 7012, 4127, 4238, 4283, 4319, 4347,
+    1917, 2521, 4434, 2642, 4443, 4488, 2752, 4451, 4496, 4532, 2851, 4458,
+    4503, 4539, 4567, 2939, 1949, 1959, 1968, 1976, 1983, 81,   1659, 3364,
+    3584, 1725, 3409, 6213, 3629, 3804, 3849, 1791, 3445, 6249, 3665, 6369,
+    6697, 3885, 4024, 4069, 4105, 1857, 3473, 6277, 3693, 6397, 6725, 3913,
+    6481, 6809, 7018, 4133, 4244, 4289, 4325, 4353, 1923, 3494, 6298, 3714,
+    6418, 6746, 3934, 6502, 6830, 7039, 4154, 6558, 6886, 7095, 7220, 4374,
+    4464, 4509, 4545, 4573, 4594, 1989, 2532, 4654, 2653, 4663, 4708, 2763,
+    4671, 4716, 4752, 2862, 4678, 4723, 4759, 4787, 2950, 4684, 4729, 4765,
+    4793, 4814, 3027, 2015, 2025, 2034, 2042, 2049, 2055, 93,   1664, 3369,
+    3589, 1730, 3414, 6218, 3634, 3809, 3854, 1796, 3450, 6254, 3670, 6374,
+    6702, 3890, 4029, 4074, 4110, 1862, 3478, 6282, 3698, 6402, 6730, 3918,
+    6486, 6814, 7023, 4138, 4249, 4294, 4330, 4358, 1928, 3499, 6303, 3719,
+    6423, 6751, 3939, 6507, 6835, 7044, 4159, 6563, 6891, 7100, 7225, 4379,
+    4469, 4514, 4550, 4578, 4599, 1994, 3514, 6318, 3734, 6438, 6766, 3954,
+    6522, 6850, 7059, 4174, 6578, 6906, 7115, 7240, 4394, 6613, 6941, 7150,
+    7275, 7344, 4614, 4689, 4734, 4770, 4798, 4819, 4834, 2060, 2543, 4874,
+    2664, 4883, 4928, 2774, 4891, 4936, 4972, 2873, 4898, 4943, 4979, 5007,
+    2961, 4904, 4949, 4985, 5013, 5034, 3038, 4909, 4954, 4990, 5018, 5039,
+    5054, 3104, 2081, 2091, 2100, 2108, 2115, 2121, 2126, 105,  1668, 3373,
+    3593, 1734, 3418, 6222, 3638, 3813, 3858, 1800, 3454, 6258, 3674, 6378,
+    6706, 3894, 4033, 4078, 4114, 1866, 3482, 6286, 3702, 6406, 6734, 3922,
+    6490, 6818, 7027, 4142, 4253, 4298, 4334, 4362, 1932, 3503, 6307, 3723,
+    6427, 6755, 3943, 6511, 6839, 7048, 4163, 6567, 6895, 7104, 7229, 4383,
+    4473, 4518, 4554, 4582, 4603, 1998, 3518, 6322, 3738, 6442, 6770, 3958,
+    6526, 6854, 7063, 4178, 6582, 6910, 7119, 7244, 4398, 6617, 6945, 7154,
+    7279, 7348, 4618, 4693, 4738, 4774, 4802, 4823, 4838, 2064, 3528, 6332,
+    3748, 6452, 6780, 3968, 6536, 6864, 7073, 4188, 6592, 6920, 7129, 7254,
+    4408, 6627, 6955, 7164, 7289, 7358, 4628, 6647, 6975, 7184, 7309, 7378,
+    7412, 4848, 4913, 4958, 4994, 5022, 5043, 5058, 5068, 2130, 2554, 5094,
+    2675, 5103, 5148, 2785, 5111, 5156, 5192, 2884, 5118, 5163, 5199, 5227,
+    2972, 5124, 5169, 5205, 5233, 5254, 3049, 5129, 5174, 5210, 5238, 5259,
+    5274, 3115, 5133, 5178, 5214, 5242, 5263, 5278, 5288, 3170, 2147, 2157,
+    2166, 2174, 2181, 2187, 2192, 2196, 117,  1671, 3376, 3596, 1737, 3421,
+    6225, 3641, 3816, 3861, 1803, 3457, 6261, 3677, 6381, 6709, 3897, 4036,
+    4081, 4117, 1869, 3485, 6289, 3705, 6409, 6737, 3925, 6493, 6821, 7030,
+    4145, 4256, 4301, 4337, 4365, 1935, 3506, 6310, 3726, 6430, 6758, 3946,
+    6514, 6842, 7051, 4166, 6570, 6898, 7107, 7232, 4386, 4476, 4521, 4557,
+    4585, 4606, 2001, 3521, 6325, 3741, 6445, 6773, 3961, 6529, 6857, 7066,
+    4181, 6585, 6913, 7122, 7247, 4401, 6620, 6948, 7157, 7282, 7351, 4621,
+    4696, 4741, 4777, 4805, 4826, 4841, 2067, 3531, 6335, 3751, 6455, 6783,
+    3971, 6539, 6867, 7076, 4191, 6595, 6923, 7132, 7257, 4411, 6630, 6958,
+    7167, 7292, 7361, 4631, 6650, 6978, 7187, 7312, 7381, 7415, 4851, 4916,
+    4961, 4997, 5025, 5046, 5061, 5071, 2133, 3537, 6341, 3757, 6461, 6789,
+    3977, 6545, 6873, 7082, 4197, 6601, 6929, 7138, 7263, 4417, 6636, 6964,
+    7173, 7298, 7367, 4637, 6656, 6984, 7193, 7318, 7387, 7421, 4857, 6666,
+    6994, 7203, 7328, 7397, 7431, 7445, 5077, 5136, 5181, 5217, 5245, 5266,
+    5281, 5291, 5297, 2199, 2565, 5314, 2686, 5323, 5368, 2796, 5331, 5376,
+    5412, 2895, 5338, 5383, 5419, 5447, 2983, 5344, 5389, 5425, 5453, 5474,
+    3060, 5349, 5394, 5430, 5458, 5479, 5494, 3126, 5353, 5398, 5434, 5462,
+    5483, 5498, 5508, 3181, 5356, 5401, 5437, 5465, 5486, 5501, 5511, 5517,
+    3225, 2213, 2223, 2232, 2240, 2247, 2253, 2258, 2262, 2265, 129,  1673,
+    3378, 3598, 1739, 3423, 6227, 3643, 3818, 3863, 1805, 3459, 6263, 3679,
+    6383, 6711, 3899, 4038, 4083, 4119, 1871, 3487, 6291, 3707, 6411, 6739,
+    3927, 6495, 6823, 7032, 4147, 4258, 4303, 4339, 4367, 1937, 3508, 6312,
+    3728, 6432, 6760, 3948, 6516, 6844, 7053, 4168, 6572, 6900, 7109, 7234,
+    4388, 4478, 4523, 4559, 4587, 4608, 2003, 3523, 6327, 3743, 6447, 6775,
+    3963, 6531, 6859, 7068, 4183, 6587, 6915, 7124, 7249, 4403, 6622, 6950,
+    7159, 7284, 7353, 4623, 4698, 4743, 4779, 4807, 4828, 4843, 2069, 3533,
+    6337, 3753, 6457, 6785, 3973, 6541, 6869, 7078, 4193, 6597, 6925, 7134,
+    7259, 4413, 6632, 6960, 7169, 7294, 7363, 4633, 6652, 6980, 7189, 7314,
+    7383, 7417, 4853, 4918, 4963, 4999, 5027, 5048, 5063, 5073, 2135, 3539,
+    6343, 3759, 6463, 6791, 3979, 6547, 6875, 7084, 4199, 6603, 6931, 7140,
+    7265, 4419, 6638, 6966, 7175, 7300, 7369, 4639, 6658, 6986, 7195, 7320,
+    7389, 7423, 4859, 6668, 6996, 7205, 7330, 7399, 7433, 7447, 5079, 5138,
+    5183, 5219, 5247, 5268, 5283, 5293, 5299, 2201, 3542, 6346, 3762, 6466,
+    6794, 3982, 6550, 6878, 7087, 4202, 6606, 6934, 7143, 7268, 4422, 6641,
+    6969, 7178, 7303, 7372, 4642, 6661, 6989, 7198, 7323, 7392, 7426, 4862,
+    6671, 6999, 7208, 7333, 7402, 7436, 7450, 5082, 6675, 7003, 7212, 7337,
+    7406, 7440, 7454, 1607, 5302, 5358, 5403, 5439, 5467, 5488, 5503, 5513,
+    5519, 5522, 2267, 2576, 5534, 2697, 5543, 5588, 2807, 5551, 5596, 5632,
+    2906, 5558, 5603, 5639, 5667, 2994, 5564, 5609, 5645, 5673, 5694, 3071,
+    5569, 5614, 5650, 5678, 5699, 5714, 3137, 5573, 5618, 5654, 5682, 5703,
+    5718, 5728, 3192, 5576, 5621, 5657, 5685, 5706, 5721, 5731, 5737, 3236,
+    5578, 5623, 5659, 5687, 5708, 5723, 5733, 5739, 5742, 3269, 2279, 2289,
+    2298, 2306, 2313, 2319, 2324, 2328, 2331, 2333, 141,  177,  2578, 2699,
+    189,  2579, 5746, 2700, 2809, 2810, 201,  2580, 5747, 2701, 5756, 5801,
+    2811, 2908, 2909, 2910, 213,  2581, 5748, 2702, 5757, 5802, 2812, 5765,
+    5810, 5846, 2911, 2996, 2997, 2998, 2999, 225,  2582, 5749, 2703, 5758,
+    5803, 2813, 5766, 5811, 5847, 2912, 5773, 5818, 5854, 5882, 3000, 3073,
+    3074, 3075, 3076, 3077, 237,  2583, 5750, 2704, 5759, 5804, 2814, 5767,
+    5812, 5848, 2913, 5774, 5819, 5855, 5883, 3001, 5780, 5825, 5861, 5889,
+    5910, 3078, 3139, 3140, 3141, 3142, 3143, 3144, 249,  2584, 5751, 2705,
+    5760, 5805, 2815, 5768, 5813, 5849, 2914, 5775, 5820, 5856, 5884, 3002,
+    5781, 5826, 5862, 5890, 5911, 3079, 5786, 5831, 5867, 5895, 5916, 5931,
+    3145, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 261,  2585, 5752, 2706,
+    5761, 5806, 2816, 5769, 5814, 5850, 2915, 5776, 5821, 5857, 5885, 3003,
+    5782, 5827, 5863, 5891, 5912, 3080, 5787, 5832, 5868, 5896, 5917, 5932,
+    3146, 5791, 5836, 5872, 5900, 5921, 5936, 5946, 3201, 3238, 3239, 3240,
+    3241, 3242, 3243, 3244, 3245, 273,  2586, 5753, 2707, 5762, 5807, 2817,
+    5770, 5815, 5851, 2916, 5777, 5822, 5858, 5886, 3004, 5783, 5828, 5864,
+    5892, 5913, 3081, 5788, 5833, 5869, 5897, 5918, 5933, 3147, 5792, 5837,
+    5873, 5901, 5922, 5937, 5947, 3202, 5795, 5840, 5876, 5904, 5925, 5940,
+    5950, 5956, 3246, 3271, 3272, 3273, 3274, 3275, 3276, 3277, 3278, 3279,
+    285,  2587, 5754, 2708, 5763, 5808, 2818, 5771, 5816, 5852, 2917, 5778,
+    5823, 5859, 5887, 3005, 5784, 5829, 5865, 5893, 5914, 3082, 5789, 5834,
+    5870, 5898, 5919, 5934, 3148, 5793, 5838, 5874, 5902, 5923, 5938, 5948,
+    3203, 5796, 5841, 5877, 5905, 5926, 5941, 5951, 5957, 3247, 5798, 5843,
+    5879, 5907, 5928, 5943, 5953, 5959, 5962, 3280, 3293, 3294, 3295, 3296,
+    3297, 3298, 3299, 3300, 3301, 3302, 297,  299,  2336, 300,  2337, 2347,
+    301,  2338, 2348, 2357, 302,  2339, 2349, 2358, 2366, 303,  2340, 2350,
+    2359, 2367, 2374, 304,  2341, 2351, 2360, 2368, 2375, 2381, 305,  2342,
+    2352, 2361, 2369, 2376, 2382, 2387, 306,  2343, 2353, 2362, 2370, 2377,
+    2383, 2388, 2392, 307,  2344, 2354, 2363, 2371, 2378, 2384, 2389, 2393,
+    2396, 308,  2345, 2355, 2364, 2372, 2379, 2385, 2390, 2394, 2397, 2399,
+    309,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,
+    22,   1620, 2478, 1686, 34,   1630, 3335, 3555, 1696, 2489, 3775, 2610,
+    1752, 1762, 46,   1639, 3344, 3564, 1705, 3389, 6193, 3609, 3784, 3829,
+    1771, 2500, 3995, 2621, 4004, 4049, 2731, 1818, 1828, 1837, 58,   1647,
+    3352, 3572, 1713, 3397, 6201, 3617, 3792, 3837, 1779, 3433, 6237, 3653,
+    6357, 6685, 3873, 4012, 4057, 4093, 1845, 2511, 4215, 2632, 4224, 4269,
+    2742, 4232, 4277, 4313, 2841, 1884, 1894, 1903, 1911, 70,   1654, 3359,
+    3579, 1720, 3404, 6208, 3624, 3799, 3844, 1786, 3440, 6244, 3660, 6364,
+    6692, 3880, 4019, 4064, 4100, 1852, 3468, 6272, 3688, 6392, 6720, 3908,
+    6476, 6804, 7013, 4128, 4239, 4284, 4320, 4348, 1918, 2522, 4435, 2643,
+    4444, 4489, 2753, 4452, 4497, 4533, 2852, 4459, 4504, 4540, 4568, 2940,
+    1950, 1960, 1969, 1977, 1984, 82,   1660, 3365, 3585, 1726, 3410, 6214,
+    3630, 3805, 3850, 1792, 3446, 6250, 3666, 6370, 6698, 3886, 4025, 4070,
+    4106, 1858, 3474, 6278, 3694, 6398, 6726, 3914, 6482, 6810, 7019, 4134,
+    4245, 4290, 4326, 4354, 1924, 3495, 6299, 3715, 6419, 6747, 3935, 6503,
+    6831, 7040, 4155, 6559, 6887, 7096, 7221, 4375, 4465, 4510, 4546, 4574,
+    4595, 1990, 2533, 4655, 2654, 4664, 4709, 2764, 4672, 4717, 4753, 2863,
+    4679, 4724, 4760, 4788, 2951, 4685, 4730, 4766, 4794, 4815, 3028, 2016,
+    2026, 2035, 2043, 2050, 2056, 94,   1665, 3370, 3590, 1731, 3415, 6219,
+    3635, 3810, 3855, 1797, 3451, 6255, 3671, 6375, 6703, 3891, 4030, 4075,
+    4111, 1863, 3479, 6283, 3699, 6403, 6731, 3919, 6487, 6815, 7024, 4139,
+    4250, 4295, 4331, 4359, 1929, 3500, 6304, 3720, 6424, 6752, 3940, 6508,
+    6836, 7045, 4160, 6564, 6892, 7101, 7226, 4380, 4470, 4515, 4551, 4579,
+    4600, 1995, 3515, 6319, 3735, 6439, 6767, 3955, 6523, 6851, 7060, 4175,
+    6579, 6907, 7116, 7241, 4395, 6614, 6942, 7151, 7276, 7345, 4615, 4690,
+    4735, 4771, 4799, 4820, 4835, 2061, 2544, 4875, 2665, 4884, 4929, 2775,
+    4892, 4937, 4973, 2874, 4899, 4944, 4980, 5008, 2962, 4905, 4950, 4986,
+    5014, 5035, 3039, 4910, 4955, 4991, 5019, 5040, 5055, 3105, 2082, 2092,
+    2101, 2109, 2116, 2122, 2127, 106,  1669, 3374, 3594, 1735, 3419, 6223,
+    3639, 3814, 3859, 1801, 3455, 6259, 3675, 6379, 6707, 3895, 4034, 4079,
+    4115, 1867, 3483, 6287, 3703, 6407, 6735, 3923, 6491, 6819, 7028, 4143,
+    4254, 4299, 4335, 4363, 1933, 3504, 6308, 3724, 6428, 6756, 3944, 6512,
+    6840, 7049, 4164, 6568, 6896, 7105, 7230, 4384, 4474, 4519, 4555, 4583,
+    4604, 1999, 3519, 6323, 3739, 6443, 6771, 3959, 6527, 6855, 7064, 4179,
+    6583, 6911, 7120, 7245, 4399, 6618, 6946, 7155, 7280, 7349, 4619, 4694,
+    4739, 4775, 4803, 4824, 4839, 2065, 3529, 6333, 3749, 6453, 6781, 3969,
+    6537, 6865, 7074, 4189, 6593, 6921, 7130, 7255, 4409, 6628, 6956, 7165,
+    7290, 7359, 4629, 6648, 6976, 7185, 7310, 7379, 7413, 4849, 4914, 4959,
+    4995, 5023, 5044, 5059, 5069, 2131, 2555, 5095, 2676, 5104, 5149, 2786,
+    5112, 5157, 5193, 2885, 5119, 5164, 5200, 5228, 2973, 5125, 5170, 5206,
+    5234, 5255, 3050, 5130, 5175, 5211, 5239, 5260, 5275, 3116, 5134, 5179,
+    5215, 5243, 5264, 5279, 5289, 3171, 2148, 2158, 2167, 2175, 2182, 2188,
+    2193, 2197, 118,  1672, 3377, 3597, 1738, 3422, 6226, 3642, 3817, 3862,
+    1804, 3458, 6262, 3678, 6382, 6710, 3898, 4037, 4082, 4118, 1870, 3486,
+    6290, 3706, 6410, 6738, 3926, 6494, 6822, 7031, 4146, 4257, 4302, 4338,
+    4366, 1936, 3507, 6311, 3727, 6431, 6759, 3947, 6515, 6843, 7052, 4167,
+    6571, 6899, 7108, 7233, 4387, 4477, 4522, 4558, 4586, 4607, 2002, 3522,
+    6326, 3742, 6446, 6774, 3962, 6530, 6858, 7067, 4182, 6586, 6914, 7123,
+    7248, 4402, 6621, 6949, 7158, 7283, 7352, 4622, 4697, 4742, 4778, 4806,
+    4827, 4842, 2068, 3532, 6336, 3752, 6456, 6784, 3972, 6540, 6868, 7077,
+    4192, 6596, 6924, 7133, 7258, 4412, 6631, 6959, 7168, 7293, 7362, 4632,
+    6651, 6979, 7188, 7313, 7382, 7416, 4852, 4917, 4962, 4998, 5026, 5047,
+    5062, 5072, 2134, 3538, 6342, 3758, 6462, 6790, 3978, 6546, 6874, 7083,
+    4198, 6602, 6930, 7139, 7264, 4418, 6637, 6965, 7174, 7299, 7368, 4638,
+    6657, 6985, 7194, 7319, 7388, 7422, 4858, 6667, 6995, 7204, 7329, 7398,
+    7432, 7446, 5078, 5137, 5182, 5218, 5246, 5267, 5282, 5292, 5298, 2200,
+    2566, 5315, 2687, 5324, 5369, 2797, 5332, 5377, 5413, 2896, 5339, 5384,
+    5420, 5448, 2984, 5345, 5390, 5426, 5454, 5475, 3061, 5350, 5395, 5431,
+    5459, 5480, 5495, 3127, 5354, 5399, 5435, 5463, 5484, 5499, 5509, 3182,
+    5357, 5402, 5438, 5466, 5487, 5502, 5512, 5518, 3226, 2214, 2224, 2233,
+    2241, 2248, 2254, 2259, 2263, 2266, 130,  1674, 3379, 3599, 1740, 3424,
+    6228, 3644, 3819, 3864, 1806, 3460, 6264, 3680, 6384, 6712, 3900, 4039,
+    4084, 4120, 1872, 3488, 6292, 3708, 6412, 6740, 3928, 6496, 6824, 7033,
+    4148, 4259, 4304, 4340, 4368, 1938, 3509, 6313, 3729, 6433, 6761, 3949,
+    6517, 6845, 7054, 4169, 6573, 6901, 7110, 7235, 4389, 4479, 4524, 4560,
+    4588, 4609, 2004, 3524, 6328, 3744, 6448, 6776, 3964, 6532, 6860, 7069,
+    4184, 6588, 6916, 7125, 7250, 4404, 6623, 6951, 7160, 7285, 7354, 4624,
+    4699, 4744, 4780, 4808, 4829, 4844, 2070, 3534, 6338, 3754, 6458, 6786,
+    3974, 6542, 6870, 7079, 4194, 6598, 6926, 7135, 7260, 4414, 6633, 6961,
+    7170, 7295, 7364, 4634, 6653, 6981, 7190, 7315, 7384, 7418, 4854, 4919,
+    4964, 5000, 5028, 5049, 5064, 5074, 2136, 3540, 6344, 3760, 6464, 6792,
+    3980, 6548, 6876, 7085, 4200, 6604, 6932, 7141, 7266, 4420, 6639, 6967,
+    7176, 7301, 7370, 4640, 6659, 6987, 7196, 7321, 7390, 7424, 4860, 6669,
+    6997, 7206, 7331, 7400, 7434, 7448, 5080, 5139, 5184, 5220, 5248, 5269,
+    5284, 5294, 5300, 2202, 3543, 6347, 3763, 6467, 6795, 3983, 6551, 6879,
+    7088, 4203, 6607, 6935, 7144, 7269, 4423, 6642, 6970, 7179, 7304, 7373,
+    4643, 6662, 6990, 7199, 7324, 7393, 7427, 4863, 6672, 7000, 7209, 7334,
+    7403, 7437, 7451, 5083, 6676, 7004, 7213, 7338, 7407, 7441, 7455, 7459,
+    5303, 5359, 5404, 5440, 5468, 5489, 5504, 5514, 5520, 5523, 2268, 2577,
+    5535, 2698, 5544, 5589, 2808, 5552, 5597, 5633, 2907, 5559, 5604, 5640,
+    5668, 2995, 5565, 5610, 5646, 5674, 5695, 3072, 5570, 5615, 5651, 5679,
+    5700, 5715, 3138, 5574, 5619, 5655, 5683, 5704, 5719, 5729, 3193, 5577,
+    5622, 5658, 5686, 5707, 5722, 5732, 5738, 3237, 5579, 5624, 5660, 5688,
+    5709, 5724, 5734, 5740, 5743, 3270, 2280, 2290, 2299, 2307, 2314, 2320,
+    2325, 2329, 2332, 2334, 142,  1675, 3380, 3600, 1741, 3425, 6229, 3645,
+    3820, 3865, 1807, 3461, 6265, 3681, 6385, 6713, 3901, 4040, 4085, 4121,
+    1873, 3489, 6293, 3709, 6413, 6741, 3929, 6497, 6825, 7034, 4149, 4260,
+    4305, 4341, 4369, 1939, 3510, 6314, 3730, 6434, 6762, 3950, 6518, 6846,
+    7055, 4170, 6574, 6902, 7111, 7236, 4390, 4480, 4525, 4561, 4589, 4610,
+    2005, 3525, 6329, 3745, 6449, 6777, 3965, 6533, 6861, 7070, 4185, 6589,
+    6917, 7126, 7251, 4405, 6624, 6952, 7161, 7286, 7355, 4625, 4700, 4745,
+    4781, 4809, 4830, 4845, 2071, 3535, 6339, 3755, 6459, 6787, 3975, 6543,
+    6871, 7080, 4195, 6599, 6927, 7136, 7261, 4415, 6634, 6962, 7171, 7296,
+    7365, 4635, 6654, 6982, 7191, 7316, 7385, 7419, 4855, 4920, 4965, 5001,
+    5029, 5050, 5065, 5075, 2137, 3541, 6345, 3761, 6465, 6793, 3981, 6549,
+    6877, 7086, 4201, 6605, 6933, 7142, 7267, 4421, 6640, 6968, 7177, 7302,
+    7371, 4641, 6660, 6988, 7197, 7322, 7391, 7425, 4861, 6670, 6998, 7207,
+    7332, 7401, 7435, 7449, 5081, 5140, 5185, 5221, 5249, 5270, 5285, 5295,
+    5301, 2203, 3544, 6348, 3764, 6468, 6796, 3984, 6552, 6880, 7089, 4204,
+    6608, 6936, 7145, 7270, 4424, 6643, 6971, 7180, 7305, 7374, 4644, 6663,
+    6991, 7200, 7325, 7394, 7428, 4864, 6673, 7001, 7210, 7335, 7404, 7438,
+    7452, 5084, 6677, 7005, 7214, 7339, 7408, 7442, 7456, 7460, 5304, 5360,
+    5405, 5441, 5469, 5490, 5505, 5515, 5521, 5524, 2269, 3545, 6349, 3765,
+    6469, 6797, 3985, 6553, 6881, 7090, 4205, 6609, 6937, 7146, 7271, 4425,
+    6644, 6972, 7181, 7306, 7375, 4645, 6664, 6992, 7201, 7326, 7395, 7429,
+    4865, 6674, 7002, 7211, 7336, 7405, 7439, 7453, 5085, 6678, 7006, 7215,
+    7340, 7409, 7443, 7457, 7461, 5305, 1609, 7007, 7216, 7341, 7410, 7444,
+    7458, 7462, 1608, 5525, 5580, 5625, 5661, 5689, 5710, 5725, 5735, 5741,
+    5744, 5745, 2335, 2588, 5755, 2709, 5764, 5809, 2819, 5772, 5817, 5853,
+    2918, 5779, 5824, 5860, 5888, 3006, 5785, 5830, 5866, 5894, 5915, 3083,
+    5790, 5835, 5871, 5899, 5920, 5935, 3149, 5794, 5839, 5875, 5903, 5924,
+    5939, 5949, 3204, 5797, 5842, 5878, 5906, 5927, 5942, 5952, 5958, 3248,
+    5799, 5844, 5880, 5908, 5929, 5944, 5954, 5960, 5963, 3281, 5800, 5845,
+    5881, 5909, 5930, 5945, 5955, 5961, 5964, 5965, 3303, 2346, 2356, 2365,
+    2373, 2380, 2386, 2391, 2395, 2398, 2400, 2401, 154,  178,  2589, 2710,
+    190,  2590, 5966, 2711, 2820, 2821, 202,  2591, 5967, 2712, 5976, 6021,
+    2822, 2919, 2920, 2921, 214,  2592, 5968, 2713, 5977, 6022, 2823, 5985,
+    6030, 6066, 2922, 3007, 3008, 3009, 3010, 226,  2593, 5969, 2714, 5978,
+    6023, 2824, 5986, 6031, 6067, 2923, 5993, 6038, 6074, 6102, 3011, 3084,
+    3085, 3086, 3087, 3088, 238,  2594, 5970, 2715, 5979, 6024, 2825, 5987,
+    6032, 6068, 2924, 5994, 6039, 6075, 6103, 3012, 6000, 6045, 6081, 6109,
+    6130, 3089, 3150, 3151, 3152, 3153, 3154, 3155, 250,  2595, 5971, 2716,
+    5980, 6025, 2826, 5988, 6033, 6069, 2925, 5995, 6040, 6076, 6104, 3013,
+    6001, 6046, 6082, 6110, 6131, 3090, 6006, 6051, 6087, 6115, 6136, 6151,
+    3156, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 262,  2596, 5972, 2717,
+    5981, 6026, 2827, 5989, 6034, 6070, 2926, 5996, 6041, 6077, 6105, 3014,
+    6002, 6047, 6083, 6111, 6132, 3091, 6007, 6052, 6088, 6116, 6137, 6152,
+    3157, 6011, 6056, 6092, 6120, 6141, 6156, 6166, 3212, 3249, 3250, 3251,
+    3252, 3253, 3254, 3255, 3256, 274,  2597, 5973, 2718, 5982, 6027, 2828,
+    5990, 6035, 6071, 2927, 5997, 6042, 6078, 6106, 3015, 6003, 6048, 6084,
+    6112, 6133, 3092, 6008, 6053, 6089, 6117, 6138, 6153, 3158, 6012, 6057,
+    6093, 6121, 6142, 6157, 6167, 3213, 6015, 6060, 6096, 6124, 6145, 6160,
+    6170, 6176, 3257, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290,
+    286,  2598, 5974, 2719, 5983, 6028, 2829, 5991, 6036, 6072, 2928, 5998,
+    6043, 6079, 6107, 3016, 6004, 6049, 6085, 6113, 6134, 3093, 6009, 6054,
+    6090, 6118, 6139, 6154, 3159, 6013, 6058, 6094, 6122, 6143, 6158, 6168,
+    3214, 6016, 6061, 6097, 6125, 6146, 6161, 6171, 6177, 3258, 6018, 6063,
+    6099, 6127, 6148, 6163, 6173, 6179, 6182, 3291, 3304, 3305, 3306, 3307,
+    3308, 3309, 3310, 3311, 3312, 3313, 298,  2599, 5975, 2720, 5984, 6029,
+    2830, 5992, 6037, 6073, 2929, 5999, 6044, 6080, 6108, 3017, 6005, 6050,
+    6086, 6114, 6135, 3094, 6010, 6055, 6091, 6119, 6140, 6155, 3160, 6014,
+    6059, 6095, 6123, 6144, 6159, 6169, 3215, 6017, 6062, 6098, 6126, 6147,
+    6162, 6172, 6178, 3259, 6019, 6064, 6100, 6128, 6149, 6164, 6174, 6180,
+    6183, 3292, 6020, 6065, 6101, 6129, 6150, 6165, 6175, 6181, 6184, 6185,
+    3314, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325,
+    310,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405,
+    2415, 2424, 2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417,
+    2426, 2434, 2441, 2447, 317,  2408, 2418, 2427, 2435, 2442, 2448, 2453,
+    318,  2409, 2419, 2428, 2436, 2443, 2449, 2454, 2458, 319,  2410, 2420,
+    2429, 2437, 2444, 2450, 2455, 2459, 2462, 320,  2411, 2421, 2430, 2438,
+    2445, 2451, 2456, 2460, 2463, 2465, 321,  2412, 2422, 2431, 2439, 2446,
+    2452, 2457, 2461, 2464, 2466, 2467, 322,  155,  156,  157,  158,  159,
+    160,  161,  162,  163,  164,  165,  166,
 };
-
diff --git a/cpp/src/hashtable6.c b/cpp/src/hashtable6.c
index 9cd98c5..848f641 100644
--- a/cpp/src/hashtable6.c
+++ b/cpp/src/hashtable6.c
@@ -17,2304 +17,1537 @@
 #include "tables.h"
 
 const short noflush6[18395] = {
-  11,  167,  23,  11,  167,  179,  23,  12,
-  168,  2468,  180,  24,  168,  191,  192,  180,
-  35,  35,  36,  11,  167,  179,  23,  12,
-  1610,  2468,  1676,  24,  168,  2479,  2600,  180,
-  191,  1742,  192,  35,  36,  13,  169,  2469,
-  181,  25,  169,  2490,  2611,  181,  2480,  2721,
-  2601,  193,  193,  37,  169,  203,  204,  181,
-  203,  1808,  204,  205,  205,  193,  47,  47,
-  48,  47,  48,  49,  11,  167,  179,  23,
-  12,  1610,  2468,  1676,  24,  168,  2479,  2600,
-  180,  191,  1742,  192,  35,  36,  13,  1611,
-  2469,  1677,  25,  1621,  1600,  1600,  1687,  2480,
-  1600,  2601,  1743,  1753,  37,  169,  2490,  2611,
-  181,  2491,  1600,  2612,  2721,  2722,  193,  203,
-  1808,  204,  1809,  1819,  205,  47,  48,  49,
-  14,  170,  2470,  182,  26,  170,  2501,  2622,
-  182,  2481,  2732,  2602,  194,  194,  38,  170,
-  2501,  2622,  182,  2502,  1600,  2623,  2732,  2733,
-  194,  2492,  2831,  2613,  2831,  2832,  2723,  206,
-  206,  206,  50,  170,  215,  216,  182,  215,
-  1874,  216,  217,  217,  194,  215,  1874,  216,
-  1875,  1885,  217,  218,  218,  218,  206,  59,
-  59,  60,  59,  60,  61,  59,  60,  61,
-  62,  11,  167,  179,  23,  12,  1610,  2468,
-  1676,  24,  168,  2479,  2600,  180,  191,  1742,
-  192,  35,  36,  13,  1611,  2469,  1677,  25,
-  1621,  3326,  3546,  1687,  2480,  3766,  2601,  1743,
-  1753,  37,  169,  2490,  2611,  181,  2491,  3986,
-  2612,  2721,  2722,  193,  203,  1808,  204,  1809,
-  1819,  205,  47,  48,  49,  14,  1612,  2470,
-  1678,  26,  1622,  3327,  3547,  1688,  2481,  3767,
-  2602,  1744,  1754,  38,  1631,  3336,  3556,  1697,
-  3381,  1600,  1601,  3776,  1601,  1763,  2492,  3987,
-  2613,  3996,  1601,  2723,  1810,  1820,  1829,  50,
-  170,  2501,  2622,  182,  2502,  4206,  2623,  2732,
-  2733,  194,  2503,  4207,  2624,  4216,  1601,  2734,
-  2831,  2832,  2833,  206,  215,  1874,  216,  1875,
-  1885,  217,  1876,  1886,  1895,  218,  59,  60,
-  61,  62,  15,  171,  2471,  183,  27,  171,
-  2512,  2633,  183,  2482,  2743,  2603,  195,  195,
-  39,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2493,  2842,  2614,  2842,  2843,
-  2724,  207,  207,  207,  51,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  1601,  2745,  2842,  2843,  2844,
-  207,  2504,  2930,  2625,  2930,  2931,  2735,  2930,
-  2931,  2932,  2834,  219,  219,  219,  219,  63,
-  171,  227,  228,  183,  227,  1940,  228,  229,
-  229,  195,  227,  1940,  228,  1941,  1951,  229,
-  230,  230,  230,  207,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  231,  231,
-  231,  231,  219,  71,  71,  72,  71,  72,
-  73,  71,  72,  73,  74,  71,  72,  73,
-  74,  75,  11,  167,  179,  23,  12,  1610,
-  2468,  1676,  24,  168,  2479,  2600,  180,  191,
-  1742,  192,  35,  36,  13,  1611,  2469,  1677,
-  25,  1621,  3326,  3546,  1687,  2480,  3766,  2601,
-  1743,  1753,  37,  169,  2490,  2611,  181,  2491,
-  3986,  2612,  2721,  2722,  193,  203,  1808,  204,
-  1809,  1819,  205,  47,  48,  49,  14,  1612,
-  2470,  1678,  26,  1622,  3327,  3547,  1688,  2481,
-  3767,  2602,  1744,  1754,  38,  1631,  3336,  3556,
-  1697,  3381,  1600,  3601,  3776,  3821,  1763,  2492,
-  3987,  2613,  3996,  4041,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  4261,
-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
-  60,  61,  62,  15,  1613,  2471,  1679,  27,
-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
-  1755,  39,  1632,  3337,  3557,  1698,  3382,  6186,
-  3602,  3777,  3822,  1764,  2493,  3988,  2614,  3997,
-  4042,  2724,  1811,  1821,  1830,  51,  1640,  3345,
-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  3426,  6230,  3646,  1602,  1601,  1602,  4005,  4050,
-  1602,  1838,  2504,  4208,  2625,  4217,  4262,  2735,
-  4225,  4270,  1602,  2834,  1877,  1887,  1896,  1904,
-  63,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2514,  4427,  2635,  4436,  4481,
-  2745,  2842,  2843,  2844,  207,  2515,  4428,  2636,
-  4437,  4482,  2746,  4445,  4490,  1602,  2845,  2930,
-  2931,  2932,  2933,  219,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  1943,  1953,
-  1962,  1970,  231,  71,  72,  73,  74,  75,
-  16,  172,  2472,  184,  28,  172,  2523,  2644,
-  184,  2483,  2754,  2604,  196,  196,  40,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2494,  2853,  2615,  2853,  2854,  2725,  208,
-  208,  208,  52,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2505,
-  2941,  2626,  2941,  2942,  2736,  2941,  2942,  2943,
-  2835,  220,  220,  220,  220,  64,  172,  2523,
-  2644,  184,  2524,  4646,  2645,  2754,  2755,  196,
-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
-  2855,  208,  2526,  4648,  2647,  4657,  4702,  2757,
-  4665,  4710,  1602,  2856,  2941,  2942,  2943,  2944,
-  220,  2516,  3018,  2637,  3018,  3019,  2747,  3018,
-  3019,  3020,  2846,  3018,  3019,  3020,  3021,  2934,
-  232,  232,  232,  232,  232,  76,  172,  239,
-  240,  184,  239,  2006,  240,  241,  241,  196,
-  239,  2006,  240,  2007,  2017,  241,  242,  242,
-  242,  208,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  243,  243,  243,  243,
-  220,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  244,  244,  244,  244,  244,  232,  83,  83,
-  84,  83,  84,  85,  83,  84,  85,  86,
-  83,  84,  85,  86,  87,  83,  84,  85,
-  86,  87,  88,  11,  167,  179,  23,  12,
-  1610,  2468,  1676,  24,  168,  2479,  2600,  180,
-  191,  1742,  192,  35,  36,  13,  1611,  2469,
-  1677,  25,  1621,  3326,  3546,  1687,  2480,  3766,
-  2601,  1743,  1753,  37,  169,  2490,  2611,  181,
-  2491,  3986,  2612,  2721,  2722,  193,  203,  1808,
-  204,  1809,  1819,  205,  47,  48,  49,  14,
-  1612,  2470,  1678,  26,  1622,  3327,  3547,  1688,
-  2481,  3767,  2602,  1744,  1754,  38,  1631,  3336,
-  3556,  1697,  3381,  1600,  3601,  3776,  3821,  1763,
-  2492,  3987,  2613,  3996,  4041,  2723,  1810,  1820,
-  1829,  50,  170,  2501,  2622,  182,  2502,  4206,
-  2623,  2732,  2733,  194,  2503,  4207,  2624,  4216,
-  4261,  2734,  2831,  2832,  2833,  206,  215,  1874,
-  216,  1875,  1885,  217,  1876,  1886,  1895,  218,
-  59,  60,  61,  62,  15,  1613,  2471,  1679,
-  27,  1623,  3328,  3548,  1689,  2482,  3768,  2603,
-  1745,  1755,  39,  1632,  3337,  3557,  1698,  3382,
-  6186,  3602,  3777,  3822,  1764,  2493,  3988,  2614,
-  3997,  4042,  2724,  1811,  1821,  1830,  51,  1640,
-  3345,  3565,  1706,  3390,  6194,  3610,  3785,  3830,
-  1772,  3426,  6230,  3646,  6350,  1601,  3866,  4005,
-  4050,  4086,  1838,  2504,  4208,  2625,  4217,  4262,
-  2735,  4225,  4270,  4306,  2834,  1877,  1887,  1896,
-  1904,  63,  171,  2512,  2633,  183,  2513,  4426,
-  2634,  2743,  2744,  195,  2514,  4427,  2635,  4436,
-  4481,  2745,  2842,  2843,  2844,  207,  2515,  4428,
-  2636,  4437,  4482,  2746,  4445,  4490,  4526,  2845,
-  2930,  2931,  2932,  2933,  219,  227,  1940,  228,
-  1941,  1951,  229,  1942,  1952,  1961,  230,  1943,
-  1953,  1962,  1970,  231,  71,  72,  73,  74,
-  75,  16,  1614,  2472,  1680,  28,  1624,  3329,
-  3549,  1690,  2483,  3769,  2604,  1746,  1756,  40,
-  1633,  3338,  3558,  1699,  3383,  6187,  3603,  3778,
-  3823,  1765,  2494,  3989,  2615,  3998,  4043,  2725,
-  1812,  1822,  1831,  52,  1641,  3346,  3566,  1707,
-  3391,  6195,  3611,  3786,  3831,  1773,  3427,  6231,
-  3647,  6351,  6679,  3867,  4006,  4051,  4087,  1839,
-  2505,  4209,  2626,  4218,  4263,  2736,  4226,  4271,
-  4307,  2835,  1878,  1888,  1897,  1905,  64,  1648,
-  3353,  3573,  1714,  3398,  6202,  3618,  3793,  3838,
-  1780,  3434,  6238,  3654,  6358,  6686,  3874,  4013,
-  4058,  4094,  1846,  3462,  6266,  3682,  6386,  6714,
-  3902,  1603,  1603,  1602,  1603,  4233,  4278,  4314,
-  1603,  1912,  2516,  4429,  2637,  4438,  4483,  2747,
-  4446,  4491,  4527,  2846,  4453,  4498,  4534,  1603,
-  2934,  1944,  1954,  1963,  1971,  1978,  76,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2525,  4647,  2646,  4656,  4701,  2756,  2853,
-  2854,  2855,  208,  2526,  4648,  2647,  4657,  4702,
-  2757,  4665,  4710,  4746,  2856,  2941,  2942,  2943,
-  2944,  220,  2527,  4649,  2648,  4658,  4703,  2758,
-  4666,  4711,  4747,  2857,  4673,  4718,  4754,  1603,
-  2945,  3018,  3019,  3020,  3021,  3022,  232,  239,
-  2006,  240,  2007,  2017,  241,  2008,  2018,  2027,
-  242,  2009,  2019,  2028,  2036,  243,  2010,  2020,
-  2029,  2037,  2044,  244,  83,  84,  85,  86,
-  87,  88,  17,  173,  2473,  185,  29,  173,
-  2534,  2655,  185,  2484,  2765,  2605,  197,  197,
-  41,  173,  2534,  2655,  185,  2535,  4866,  2656,
-  2765,  2766,  197,  2495,  2864,  2616,  2864,  2865,
-  2726,  209,  209,  209,  53,  173,  2534,  2655,
-  185,  2535,  4866,  2656,  2765,  2766,  197,  2536,
-  4867,  2657,  4876,  4921,  2767,  2864,  2865,  2866,
-  209,  2506,  2952,  2627,  2952,  2953,  2737,  2952,
-  2953,  2954,  2836,  221,  221,  221,  221,  65,
-  173,  2534,  2655,  185,  2535,  4866,  2656,  2765,
-  2766,  197,  2536,  4867,  2657,  4876,  4921,  2767,
-  2864,  2865,  2866,  209,  2537,  4868,  2658,  4877,
-  4922,  2768,  4885,  4930,  4966,  2867,  2952,  2953,
-  2954,  2955,  221,  2517,  3029,  2638,  3029,  3030,
-  2748,  3029,  3030,  3031,  2847,  3029,  3030,  3031,
-  3032,  2935,  233,  233,  233,  233,  233,  77,
-  173,  2534,  2655,  185,  2535,  4866,  2656,  2765,
-  2766,  197,  2536,  4867,  2657,  4876,  4921,  2767,
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-  4782,  2945,  3018,  3019,  3020,  3021,  3022,  232,
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-  1985,  2528,  4650,  2649,  4659,  4704,  2759,  4667,
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-  4680,  4725,  4761,  4789,  1604,  3023,  2011,  2021,
-  2030,  2038,  2045,  2051,  89,  173,  2534,  2655,
-  185,  2535,  4866,  2656,  2765,  2766,  197,  2536,
-  4867,  2657,  4876,  4921,  2767,  2864,  2865,  2866,
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-  4930,  4966,  2867,  2952,  2953,  2954,  2955,  221,
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-  4967,  2868,  4893,  4938,  4974,  5002,  2956,  3029,
-  3030,  3031,  3032,  3033,  233,  2539,  4870,  2660,
-  4879,  4924,  2770,  4887,  4932,  4968,  2869,  4894,
-  4939,  4975,  5003,  2957,  4900,  4945,  4981,  5009,
-  1604,  3034,  3095,  3096,  3097,  3098,  3099,  3100,
-  245,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  2075,  2085,  2094,  2102,  255,
-  2076,  2086,  2095,  2103,  2110,  256,  2077,  2087,
-  2096,  2104,  2111,  2117,  257,  95,  96,  97,
-  98,  99,  100,  101,  18,  174,  2474,  186,
-  30,  174,  2545,  2666,  186,  2485,  2776,  2606,
-  198,  198,  42,  174,  2545,  2666,  186,  2546,
-  5086,  2667,  2776,  2777,  198,  2496,  2875,  2617,
-  2875,  2876,  2727,  210,  210,  210,  54,  174,
-  2545,  2666,  186,  2546,  5086,  2667,  2776,  2777,
-  198,  2547,  5087,  2668,  5096,  5141,  2778,  2875,
-  2876,  2877,  210,  2507,  2963,  2628,  2963,  2964,
-  2738,  2963,  2964,  2965,  2837,  222,  222,  222,
-  222,  66,  174,  2545,  2666,  186,  2546,  5086,
-  2667,  2776,  2777,  198,  2547,  5087,  2668,  5096,
-  5141,  2778,  2875,  2876,  2877,  210,  2548,  5088,
-  2669,  5097,  5142,  2779,  5105,  5150,  5186,  2878,
-  2963,  2964,  2965,  2966,  222,  2518,  3040,  2639,
-  3040,  3041,  2749,  3040,  3041,  3042,  2848,  3040,
-  3041,  3042,  3043,  2936,  234,  234,  234,  234,
-  234,  78,  174,  2545,  2666,  186,  2546,  5086,
-  2667,  2776,  2777,  198,  2547,  5087,  2668,  5096,
-  5141,  2778,  2875,  2876,  2877,  210,  2548,  5088,
-  2669,  5097,  5142,  2779,  5105,  5150,  5186,  2878,
-  2963,  2964,  2965,  2966,  222,  2549,  5089,  2670,
-  5098,  5143,  2780,  5106,  5151,  5187,  2879,  5113,
-  5158,  5194,  5222,  2967,  3040,  3041,  3042,  3043,
-  3044,  234,  2529,  3106,  2650,  3106,  3107,  2760,
-  3106,  3107,  3108,  2859,  3106,  3107,  3108,  3109,
-  2947,  3106,  3107,  3108,  3109,  3110,  3024,  246,
-  246,  246,  246,  246,  246,  90,  174,  2545,
-  2666,  186,  2546,  5086,  2667,  2776,  2777,  198,
-  2547,  5087,  2668,  5096,  5141,  2778,  2875,  2876,
-  2877,  210,  2548,  5088,  2669,  5097,  5142,  2779,
-  5105,  5150,  5186,  2878,  2963,  2964,  2965,  2966,
-  222,  2549,  5089,  2670,  5098,  5143,  2780,  5106,
-  5151,  5187,  2879,  5113,  5158,  5194,  5222,  2967,
-  3040,  3041,  3042,  3043,  3044,  234,  2550,  5090,
-  2671,  5099,  5144,  2781,  5107,  5152,  5188,  2880,
-  5114,  5159,  5195,  5223,  2968,  5120,  5165,  5201,
-  5229,  1604,  3045,  3106,  3107,  3108,  3109,  3110,
-  3111,  246,  2540,  3161,  2661,  3161,  3162,  2771,
-  3161,  3162,  3163,  2870,  3161,  3162,  3163,  3164,
-  2958,  3161,  3162,  3163,  3164,  3165,  3035,  3161,
-  3162,  3163,  3164,  3165,  3166,  3101,  258,  258,
-  258,  258,  258,  258,  258,  102,  174,  263,
-  264,  186,  263,  2138,  264,  265,  265,  198,
-  263,  2138,  264,  2139,  2149,  265,  266,  266,
-  266,  210,  263,  2138,  264,  2139,  2149,  265,
-  2140,  2150,  2159,  266,  267,  267,  267,  267,
-  222,  263,  2138,  264,  2139,  2149,  265,  2140,
-  2150,  2159,  266,  2141,  2151,  2160,  2168,  267,
-  268,  268,  268,  268,  268,  234,  263,  2138,
-  264,  2139,  2149,  265,  2140,  2150,  2159,  266,
-  2141,  2151,  2160,  2168,  267,  2142,  2152,  2161,
-  2169,  2176,  268,  269,  269,  269,  269,  269,
-  269,  246,  263,  2138,  264,  2139,  2149,  265,
-  2140,  2150,  2159,  266,  2141,  2151,  2160,  2168,
-  267,  2142,  2152,  2161,  2169,  2176,  268,  2143,
-  2153,  2162,  2170,  2177,  2183,  269,  270,  270,
-  270,  270,  270,  270,  270,  258,  107,  107,
-  108,  107,  108,  109,  107,  108,  109,  110,
-  107,  108,  109,  110,  111,  107,  108,  109,
-  110,  111,  112,  107,  108,  109,  110,  111,
-  112,  113,  107,  108,  109,  110,  111,  112,
-  113,  114,  11,  167,  179,  23,  12,  1610,
-  2468,  1676,  24,  168,  2479,  2600,  180,  191,
-  1742,  192,  35,  36,  13,  1611,  2469,  1677,
-  25,  1621,  3326,  3546,  1687,  2480,  3766,  2601,
-  1743,  1753,  37,  169,  2490,  2611,  181,  2491,
-  3986,  2612,  2721,  2722,  193,  203,  1808,  204,
-  1809,  1819,  205,  47,  48,  49,  14,  1612,
-  2470,  1678,  26,  1622,  3327,  3547,  1688,  2481,
-  3767,  2602,  1744,  1754,  38,  1631,  3336,  3556,
-  1697,  3381,  1600,  3601,  3776,  3821,  1763,  2492,
-  3987,  2613,  3996,  4041,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  4261,
-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
-  60,  61,  62,  15,  1613,  2471,  1679,  27,
-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
-  1755,  39,  1632,  3337,  3557,  1698,  3382,  6186,
-  3602,  3777,  3822,  1764,  2493,  3988,  2614,  3997,
-  4042,  2724,  1811,  1821,  1830,  51,  1640,  3345,
-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  3426,  6230,  3646,  6350,  1601,  3866,  4005,  4050,
-  4086,  1838,  2504,  4208,  2625,  4217,  4262,  2735,
-  4225,  4270,  4306,  2834,  1877,  1887,  1896,  1904,
-  63,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2514,  4427,  2635,  4436,  4481,
-  2745,  2842,  2843,  2844,  207,  2515,  4428,  2636,
-  4437,  4482,  2746,  4445,  4490,  4526,  2845,  2930,
-  2931,  2932,  2933,  219,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  1943,  1953,
-  1962,  1970,  231,  71,  72,  73,  74,  75,
-  16,  1614,  2472,  1680,  28,  1624,  3329,  3549,
-  1690,  2483,  3769,  2604,  1746,  1756,  40,  1633,
-  3338,  3558,  1699,  3383,  6187,  3603,  3778,  3823,
-  1765,  2494,  3989,  2615,  3998,  4043,  2725,  1812,
-  1822,  1831,  52,  1641,  3346,  3566,  1707,  3391,
-  6195,  3611,  3786,  3831,  1773,  3427,  6231,  3647,
-  6351,  6679,  3867,  4006,  4051,  4087,  1839,  2505,
-  4209,  2626,  4218,  4263,  2736,  4226,  4271,  4307,
-  2835,  1878,  1888,  1897,  1905,  64,  1648,  3353,
-  3573,  1714,  3398,  6202,  3618,  3793,  3838,  1780,
-  3434,  6238,  3654,  6358,  6686,  3874,  4013,  4058,
-  4094,  1846,  3462,  6266,  3682,  6386,  6714,  3902,
-  6470,  6798,  1602,  4122,  4233,  4278,  4314,  4342,
-  1912,  2516,  4429,  2637,  4438,  4483,  2747,  4446,
-  4491,  4527,  2846,  4453,  4498,  4534,  4562,  2934,
-  1944,  1954,  1963,  1971,  1978,  76,  172,  2523,
-  2644,  184,  2524,  4646,  2645,  2754,  2755,  196,
-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
-  2855,  208,  2526,  4648,  2647,  4657,  4702,  2757,
-  4665,  4710,  4746,  2856,  2941,  2942,  2943,  2944,
-  220,  2527,  4649,  2648,  4658,  4703,  2758,  4666,
-  4711,  4747,  2857,  4673,  4718,  4754,  4782,  2945,
-  3018,  3019,  3020,  3021,  3022,  232,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  2009,  2019,  2028,  2036,  243,  2010,  2020,  2029,
-  2037,  2044,  244,  83,  84,  85,  86,  87,
-  88,  17,  1615,  2473,  1681,  29,  1625,  3330,
-  3550,  1691,  2484,  3770,  2605,  1747,  1757,  41,
-  1634,  3339,  3559,  1700,  3384,  6188,  3604,  3779,
-  3824,  1766,  2495,  3990,  2616,  3999,  4044,  2726,
-  1813,  1823,  1832,  53,  1642,  3347,  3567,  1708,
-  3392,  6196,  3612,  3787,  3832,  1774,  3428,  6232,
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-  1824,  1833,  54,  1643,  3348,  3568,  1709,  3393,
-  6197,  3613,  3788,  3833,  1775,  3429,  6233,  3649,
-  6353,  6681,  3869,  4008,  4053,  4089,  1841,  2507,
-  4211,  2628,  4220,  4265,  2738,  4228,  4273,  4309,
-  2837,  1880,  1890,  1899,  1907,  66,  1650,  3355,
-  3575,  1716,  3400,  6204,  3620,  3795,  3840,  1782,
-  3436,  6240,  3656,  6360,  6688,  3876,  4015,  4060,
-  4096,  1848,  3464,  6268,  3684,  6388,  6716,  3904,
-  6472,  6800,  7009,  4124,  4235,  4280,  4316,  4344,
-  1914,  2518,  4431,  2639,  4440,  4485,  2749,  4448,
-  4493,  4529,  2848,  4455,  4500,  4536,  4564,  2936,
-  1946,  1956,  1965,  1973,  1980,  78,  1656,  3361,
-  3581,  1722,  3406,  6210,  3626,  3801,  3846,  1788,
-  3442,  6246,  3662,  6366,  6694,  3882,  4021,  4066,
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-  6478,  6806,  7015,  4130,  4241,  4286,  4322,  4350,
-  1920,  3491,  6295,  3711,  6415,  6743,  3931,  6499,
-  6827,  7036,  4151,  6555,  6883,  7092,  7217,  4371,
-  4461,  4506,  4542,  4570,  4591,  1986,  2529,  4651,
-  2650,  4660,  4705,  2760,  4668,  4713,  4749,  2859,
-  4675,  4720,  4756,  4784,  2947,  4681,  4726,  4762,
-  4790,  4811,  3024,  2012,  2022,  2031,  2039,  2046,
-  2052,  90,  1661,  3366,  3586,  1727,  3411,  6215,
-  3631,  3806,  3851,  1793,  3447,  6251,  3667,  6371,
-  6699,  3887,  4026,  4071,  4107,  1859,  3475,  6279,
-  3695,  6399,  6727,  3915,  6483,  6811,  7020,  4135,
-  4246,  4291,  4327,  4355,  1925,  3496,  6300,  3716,
-  6420,  6748,  3936,  6504,  6832,  7041,  4156,  6560,
-  6888,  7097,  7222,  4376,  4466,  4511,  4547,  4575,
-  4596,  1991,  3511,  6315,  3731,  6435,  6763,  3951,
-  6519,  6847,  7056,  4171,  6575,  6903,  7112,  7237,
-  4391,  6610,  6938,  7147,  7272,  1604,  4611,  4686,
-  4731,  4767,  4795,  4816,  4831,  2057,  2540,  4871,
-  2661,  4880,  4925,  2771,  4888,  4933,  4969,  2870,
-  4895,  4940,  4976,  5004,  2958,  4901,  4946,  4982,
-  5010,  5031,  3035,  4906,  4951,  4987,  5015,  5036,
-  5051,  3101,  2078,  2088,  2097,  2105,  2112,  2118,
-  2123,  102,  174,  2545,  2666,  186,  2546,  5086,
-  2667,  2776,  2777,  198,  2547,  5087,  2668,  5096,
-  5141,  2778,  2875,  2876,  2877,  210,  2548,  5088,
-  2669,  5097,  5142,  2779,  5105,  5150,  5186,  2878,
-  2963,  2964,  2965,  2966,  222,  2549,  5089,  2670,
-  5098,  5143,  2780,  5106,  5151,  5187,  2879,  5113,
-  5158,  5194,  5222,  2967,  3040,  3041,  3042,  3043,
-  3044,  234,  2550,  5090,  2671,  5099,  5144,  2781,
-  5107,  5152,  5188,  2880,  5114,  5159,  5195,  5223,
-  2968,  5120,  5165,  5201,  5229,  5250,  3045,  3106,
-  3107,  3108,  3109,  3110,  3111,  246,  2551,  5091,
-  2672,  5100,  5145,  2782,  5108,  5153,  5189,  2881,
-  5115,  5160,  5196,  5224,  2969,  5121,  5166,  5202,
-  5230,  5251,  3046,  5126,  5171,  5207,  5235,  5256,
-  5271,  3112,  3161,  3162,  3163,  3164,  3165,  3166,
-  3167,  258,  263,  2138,  264,  2139,  2149,  265,
-  2140,  2150,  2159,  266,  2141,  2151,  2160,  2168,
-  267,  2142,  2152,  2161,  2169,  2176,  268,  2143,
-  2153,  2162,  2170,  2177,  2183,  269,  2144,  2154,
-  2163,  2171,  2178,  2184,  2189,  270,  107,  108,
-  109,  110,  111,  112,  113,  114,  19,  1617,
-  2475,  1683,  31,  1627,  3332,  3552,  1693,  2486,
-  3772,  2607,  1749,  1759,  43,  1636,  3341,  3561,
-  1702,  3386,  6190,  3606,  3781,  3826,  1768,  2497,
-  3992,  2618,  4001,  4046,  2728,  1815,  1825,  1834,
-  55,  1644,  3349,  3569,  1710,  3394,  6198,  3614,
-  3789,  3834,  1776,  3430,  6234,  3650,  6354,  6682,
-  3870,  4009,  4054,  4090,  1842,  2508,  4212,  2629,
-  4221,  4266,  2739,  4229,  4274,  4310,  2838,  1881,
-  1891,  1900,  1908,  67,  1651,  3356,  3576,  1717,
-  3401,  6205,  3621,  3796,  3841,  1783,  3437,  6241,
-  3657,  6361,  6689,  3877,  4016,  4061,  4097,  1849,
-  3465,  6269,  3685,  6389,  6717,  3905,  6473,  6801,
-  7010,  4125,  4236,  4281,  4317,  4345,  1915,  2519,
-  4432,  2640,  4441,  4486,  2750,  4449,  4494,  4530,
-  2849,  4456,  4501,  4537,  4565,  2937,  1947,  1957,
-  1966,  1974,  1981,  79,  1657,  3362,  3582,  1723,
-  3407,  6211,  3627,  3802,  3847,  1789,  3443,  6247,
-  3663,  6367,  6695,  3883,  4022,  4067,  4103,  1855,
-  3471,  6275,  3691,  6395,  6723,  3911,  6479,  6807,
-  7016,  4131,  4242,  4287,  4323,  4351,  1921,  3492,
-  6296,  3712,  6416,  6744,  3932,  6500,  6828,  7037,
-  4152,  6556,  6884,  7093,  7218,  4372,  4462,  4507,
-  4543,  4571,  4592,  1987,  2530,  4652,  2651,  4661,
-  4706,  2761,  4669,  4714,  4750,  2860,  4676,  4721,
-  4757,  4785,  2948,  4682,  4727,  4763,  4791,  4812,
-  3025,  2013,  2023,  2032,  2040,  2047,  2053,  91,
-  1662,  3367,  3587,  1728,  3412,  6216,  3632,  3807,
-  3852,  1794,  3448,  6252,  3668,  6372,  6700,  3888,
-  4027,  4072,  4108,  1860,  3476,  6280,  3696,  6400,
-  6728,  3916,  6484,  6812,  7021,  4136,  4247,  4292,
-  4328,  4356,  1926,  3497,  6301,  3717,  6421,  6749,
-  3937,  6505,  6833,  7042,  4157,  6561,  6889,  7098,
-  7223,  4377,  4467,  4512,  4548,  4576,  4597,  1992,
-  3512,  6316,  3732,  6436,  6764,  3952,  6520,  6848,
-  7057,  4172,  6576,  6904,  7113,  7238,  4392,  6611,
-  6939,  7148,  7273,  7342,  4612,  4687,  4732,  4768,
-  4796,  4817,  4832,  2058,  2541,  4872,  2662,  4881,
-  4926,  2772,  4889,  4934,  4970,  2871,  4896,  4941,
-  4977,  5005,  2959,  4902,  4947,  4983,  5011,  5032,
-  3036,  4907,  4952,  4988,  5016,  5037,  5052,  3102,
-  2079,  2089,  2098,  2106,  2113,  2119,  2124,  103,
-  1666,  3371,  3591,  1732,  3416,  6220,  3636,  3811,
-  3856,  1798,  3452,  6256,  3672,  6376,  6704,  3892,
-  4031,  4076,  4112,  1864,  3480,  6284,  3700,  6404,
-  6732,  3920,  6488,  6816,  7025,  4140,  4251,  4296,
-  4332,  4360,  1930,  3501,  6305,  3721,  6425,  6753,
-  3941,  6509,  6837,  7046,  4161,  6565,  6893,  7102,
-  7227,  4381,  4471,  4516,  4552,  4580,  4601,  1996,
-  3516,  6320,  3736,  6440,  6768,  3956,  6524,  6852,
-  7061,  4176,  6580,  6908,  7117,  7242,  4396,  6615,
-  6943,  7152,  7277,  7346,  4616,  4691,  4736,  4772,
-  4800,  4821,  4836,  2062,  3526,  6330,  3746,  6450,
-  6778,  3966,  6534,  6862,  7071,  4186,  6590,  6918,
-  7127,  7252,  4406,  6625,  6953,  7162,  7287,  7356,
-  4626,  6645,  6973,  7182,  7307,  7376,  1605,  4846,
-  4911,  4956,  4992,  5020,  5041,  5056,  5066,  2128,
-  2552,  5092,  2673,  5101,  5146,  2783,  5109,  5154,
-  5190,  2882,  5116,  5161,  5197,  5225,  2970,  5122,
-  5167,  5203,  5231,  5252,  3047,  5127,  5172,  5208,
-  5236,  5257,  5272,  3113,  5131,  5176,  5212,  5240,
-  5261,  5276,  5286,  3168,  2145,  2155,  2164,  2172,
-  2179,  2185,  2190,  2194,  115,  175,  2556,  2677,
-  187,  2557,  5306,  2678,  2787,  2788,  199,  2558,
-  5307,  2679,  5316,  5361,  2789,  2886,  2887,  2888,
-  211,  2559,  5308,  2680,  5317,  5362,  2790,  5325,
-  5370,  5406,  2889,  2974,  2975,  2976,  2977,  223,
-  2560,  5309,  2681,  5318,  5363,  2791,  5326,  5371,
-  5407,  2890,  5333,  5378,  5414,  5442,  2978,  3051,
-  3052,  3053,  3054,  3055,  235,  2561,  5310,  2682,
-  5319,  5364,  2792,  5327,  5372,  5408,  2891,  5334,
-  5379,  5415,  5443,  2979,  5340,  5385,  5421,  5449,
-  5470,  3056,  3117,  3118,  3119,  3120,  3121,  3122,
-  247,  2562,  5311,  2683,  5320,  5365,  2793,  5328,
-  5373,  5409,  2892,  5335,  5380,  5416,  5444,  2980,
-  5341,  5386,  5422,  5450,  5471,  3057,  5346,  5391,
-  5427,  5455,  5476,  5491,  3123,  3172,  3173,  3174,
-  3175,  3176,  3177,  3178,  259,  2563,  5312,  2684,
-  5321,  5366,  2794,  5329,  5374,  5410,  2893,  5336,
-  5381,  5417,  5445,  2981,  5342,  5387,  5423,  5451,
-  5472,  3058,  5347,  5392,  5428,  5456,  5477,  5492,
-  3124,  5351,  5396,  5432,  5460,  5481,  5496,  5506,
-  3179,  3216,  3217,  3218,  3219,  3220,  3221,  3222,
-  3223,  271,  275,  2204,  276,  2205,  2215,  277,
-  2206,  2216,  2225,  278,  2207,  2217,  2226,  2234,
-  279,  2208,  2218,  2227,  2235,  2242,  280,  2209,
-  2219,  2228,  2236,  2243,  2249,  281,  2210,  2220,
-  2229,  2237,  2244,  2250,  2255,  282,  2211,  2221,
-  2230,  2238,  2245,  2251,  2256,  2260,  283,  119,
-  120,  121,  122,  123,  124,  125,  126,  127,
-  20,  1618,  2476,  1684,  32,  1628,  3333,  3553,
-  1694,  2487,  3773,  2608,  1750,  1760,  44,  1637,
-  3342,  3562,  1703,  3387,  6191,  3607,  3782,  3827,
-  1769,  2498,  3993,  2619,  4002,  4047,  2729,  1816,
-  1826,  1835,  56,  1645,  3350,  3570,  1711,  3395,
-  6199,  3615,  3790,  3835,  1777,  3431,  6235,  3651,
-  6355,  6683,  3871,  4010,  4055,  4091,  1843,  2509,
-  4213,  2630,  4222,  4267,  2740,  4230,  4275,  4311,
-  2839,  1882,  1892,  1901,  1909,  68,  1652,  3357,
-  3577,  1718,  3402,  6206,  3622,  3797,  3842,  1784,
-  3438,  6242,  3658,  6362,  6690,  3878,  4017,  4062,
-  4098,  1850,  3466,  6270,  3686,  6390,  6718,  3906,
-  6474,  6802,  7011,  4126,  4237,  4282,  4318,  4346,
-  1916,  2520,  4433,  2641,  4442,  4487,  2751,  4450,
-  4495,  4531,  2850,  4457,  4502,  4538,  4566,  2938,
-  1948,  1958,  1967,  1975,  1982,  80,  1658,  3363,
-  3583,  1724,  3408,  6212,  3628,  3803,  3848,  1790,
-  3444,  6248,  3664,  6368,  6696,  3884,  4023,  4068,
-  4104,  1856,  3472,  6276,  3692,  6396,  6724,  3912,
-  6480,  6808,  7017,  4132,  4243,  4288,  4324,  4352,
-  1922,  3493,  6297,  3713,  6417,  6745,  3933,  6501,
-  6829,  7038,  4153,  6557,  6885,  7094,  7219,  4373,
-  4463,  4508,  4544,  4572,  4593,  1988,  2531,  4653,
-  2652,  4662,  4707,  2762,  4670,  4715,  4751,  2861,
-  4677,  4722,  4758,  4786,  2949,  4683,  4728,  4764,
-  4792,  4813,  3026,  2014,  2024,  2033,  2041,  2048,
-  2054,  92,  1663,  3368,  3588,  1729,  3413,  6217,
-  3633,  3808,  3853,  1795,  3449,  6253,  3669,  6373,
-  6701,  3889,  4028,  4073,  4109,  1861,  3477,  6281,
-  3697,  6401,  6729,  3917,  6485,  6813,  7022,  4137,
-  4248,  4293,  4329,  4357,  1927,  3498,  6302,  3718,
-  6422,  6750,  3938,  6506,  6834,  7043,  4158,  6562,
-  6890,  7099,  7224,  4378,  4468,  4513,  4549,  4577,
-  4598,  1993,  3513,  6317,  3733,  6437,  6765,  3953,
-  6521,  6849,  7058,  4173,  6577,  6905,  7114,  7239,
-  4393,  6612,  6940,  7149,  7274,  7343,  4613,  4688,
-  4733,  4769,  4797,  4818,  4833,  2059,  2542,  4873,
-  2663,  4882,  4927,  2773,  4890,  4935,  4971,  2872,
-  4897,  4942,  4978,  5006,  2960,  4903,  4948,  4984,
-  5012,  5033,  3037,  4908,  4953,  4989,  5017,  5038,
-  5053,  3103,  2080,  2090,  2099,  2107,  2114,  2120,
-  2125,  104,  1667,  3372,  3592,  1733,  3417,  6221,
-  3637,  3812,  3857,  1799,  3453,  6257,  3673,  6377,
-  6705,  3893,  4032,  4077,  4113,  1865,  3481,  6285,
-  3701,  6405,  6733,  3921,  6489,  6817,  7026,  4141,
-  4252,  4297,  4333,  4361,  1931,  3502,  6306,  3722,
-  6426,  6754,  3942,  6510,  6838,  7047,  4162,  6566,
-  6894,  7103,  7228,  4382,  4472,  4517,  4553,  4581,
-  4602,  1997,  3517,  6321,  3737,  6441,  6769,  3957,
-  6525,  6853,  7062,  4177,  6581,  6909,  7118,  7243,
-  4397,  6616,  6944,  7153,  7278,  7347,  4617,  4692,
-  4737,  4773,  4801,  4822,  4837,  2063,  3527,  6331,
-  3747,  6451,  6779,  3967,  6535,  6863,  7072,  4187,
-  6591,  6919,  7128,  7253,  4407,  6626,  6954,  7163,
-  7288,  7357,  4627,  6646,  6974,  7183,  7308,  7377,
-  7411,  4847,  4912,  4957,  4993,  5021,  5042,  5057,
-  5067,  2129,  2553,  5093,  2674,  5102,  5147,  2784,
-  5110,  5155,  5191,  2883,  5117,  5162,  5198,  5226,
-  2971,  5123,  5168,  5204,  5232,  5253,  3048,  5128,
-  5173,  5209,  5237,  5258,  5273,  3114,  5132,  5177,
-  5213,  5241,  5262,  5277,  5287,  3169,  2146,  2156,
-  2165,  2173,  2180,  2186,  2191,  2195,  116,  1670,
-  3375,  3595,  1736,  3420,  6224,  3640,  3815,  3860,
-  1802,  3456,  6260,  3676,  6380,  6708,  3896,  4035,
-  4080,  4116,  1868,  3484,  6288,  3704,  6408,  6736,
-  3924,  6492,  6820,  7029,  4144,  4255,  4300,  4336,
-  4364,  1934,  3505,  6309,  3725,  6429,  6757,  3945,
-  6513,  6841,  7050,  4165,  6569,  6897,  7106,  7231,
-  4385,  4475,  4520,  4556,  4584,  4605,  2000,  3520,
-  6324,  3740,  6444,  6772,  3960,  6528,  6856,  7065,
-  4180,  6584,  6912,  7121,  7246,  4400,  6619,  6947,
-  7156,  7281,  7350,  4620,  4695,  4740,  4776,  4804,
-  4825,  4840,  2066,  3530,  6334,  3750,  6454,  6782,
-  3970,  6538,  6866,  7075,  4190,  6594,  6922,  7131,
-  7256,  4410,  6629,  6957,  7166,  7291,  7360,  4630,
-  6649,  6977,  7186,  7311,  7380,  7414,  4850,  4915,
-  4960,  4996,  5024,  5045,  5060,  5070,  2132,  3536,
-  6340,  3756,  6460,  6788,  3976,  6544,  6872,  7081,
-  4196,  6600,  6928,  7137,  7262,  4416,  6635,  6963,
-  7172,  7297,  7366,  4636,  6655,  6983,  7192,  7317,
-  7386,  7420,  4856,  6665,  6993,  7202,  7327,  7396,
-  7430,  1606,  5076,  5135,  5180,  5216,  5244,  5265,
-  5280,  5290,  5296,  2198,  2564,  5313,  2685,  5322,
-  5367,  2795,  5330,  5375,  5411,  2894,  5337,  5382,
-  5418,  5446,  2982,  5343,  5388,  5424,  5452,  5473,
-  3059,  5348,  5393,  5429,  5457,  5478,  5493,  3125,
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+    4711, 4747, 2857, 4673, 4718, 4754, 4782, 2945, 3018, 3019, 3020, 3021,
+    3022, 232,  239,  2006, 240,  2007, 2017, 241,  2008, 2018, 2027, 242,
+    2009, 2019, 2028, 2036, 243,  2010, 2020, 2029, 2037, 2044, 244,  83,
+    84,   85,   86,   87,   88,   17,   1615, 2473, 1681, 29,   1625, 3330,
+    3550, 1691, 2484, 3770, 2605, 1747, 1757, 41,   1634, 3339, 3559, 1700,
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+    2759, 4667, 4712, 4748, 2858, 4674, 4719, 4755, 4783, 2946, 4680, 4725,
+    4761, 4789, 4810, 3023, 2011, 2021, 2030, 2038, 2045, 2051, 89,   173,
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+    4981, 5009, 5030, 3034, 3095, 3096, 3097, 3098, 3099, 3100, 245,  251,
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+    2102, 255,  2076, 2086, 2095, 2103, 2110, 256,  2077, 2087, 2096, 2104,
+    2111, 2117, 257,  95,   96,   97,   98,   99,   100,  101,  18,   1616,
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+    3991, 2617, 4000, 4045, 2727, 1814, 1824, 1833, 54,   1643, 3348, 3568,
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+    3869, 4008, 4053, 4089, 1841, 2507, 4211, 2628, 4220, 4265, 2738, 4228,
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+    3400, 6204, 3620, 3795, 3840, 1782, 3436, 6240, 3656, 6360, 6688, 3876,
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+    2749, 4448, 4493, 4529, 2848, 4455, 4500, 4536, 4564, 2936, 1946, 1956,
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+    4756, 4784, 2947, 4681, 4726, 4762, 4790, 4811, 3024, 2012, 2022, 2031,
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+    2209, 2219, 2228, 2236, 2243, 2249, 281,  2210, 2220, 2229, 2237, 2244,
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+    2480, 3766, 2601, 1743, 1753, 37,   169,  2490, 2611, 181,  2491, 3986,
+    2612, 2721, 2722, 193,  203,  1808, 204,  1809, 1819, 205,  47,   48,
+    49,   14,   1612, 2470, 1678, 26,   1622, 3327, 3547, 1688, 2481, 3767,
+    2602, 1744, 1754, 38,   1631, 3336, 3556, 1697, 3381, 1600, 3601, 3776,
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+    170,  2501, 2622, 182,  2502, 4206, 2623, 2732, 2733, 194,  2503, 4207,
+    2624, 4216, 4261, 2734, 2831, 2832, 2833, 206,  215,  1874, 216,  1875,
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+    2471, 1679, 27,   1623, 3328, 3548, 1689, 2482, 3768, 2603, 1745, 1755,
+    39,   1632, 3337, 3557, 1698, 3382, 6186, 3602, 3777, 3822, 1764, 2493,
+    3988, 2614, 3997, 4042, 2724, 1811, 1821, 1830, 51,   1640, 3345, 3565,
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+    3866, 4005, 4050, 4086, 1838, 2504, 4208, 2625, 4217, 4262, 2735, 4225,
+    4270, 4306, 2834, 1877, 1887, 1896, 1904, 63,   171,  2512, 2633, 183,
+    2513, 4426, 2634, 2743, 2744, 195,  2514, 4427, 2635, 4436, 4481, 2745,
+    2842, 2843, 2844, 207,  2515, 4428, 2636, 4437, 4482, 2746, 4445, 4490,
+    4526, 2845, 2930, 2931, 2932, 2933, 219,  227,  1940, 228,  1941, 1951,
+    229,  1942, 1952, 1961, 230,  1943, 1953, 1962, 1970, 231,  71,   72,
+    73,   74,   75,   16,   1614, 2472, 1680, 28,   1624, 3329, 3549, 1690,
+    2483, 3769, 2604, 1746, 1756, 40,   1633, 3338, 3558, 1699, 3383, 6187,
+    3603, 3778, 3823, 1765, 2494, 3989, 2615, 3998, 4043, 2725, 1812, 1822,
+    1831, 52,   1641, 3346, 3566, 1707, 3391, 6195, 3611, 3786, 3831, 1773,
+    3427, 6231, 3647, 6351, 6679, 3867, 4006, 4051, 4087, 1839, 2505, 4209,
+    2626, 4218, 4263, 2736, 4226, 4271, 4307, 2835, 1878, 1888, 1897, 1905,
+    64,   1648, 3353, 3573, 1714, 3398, 6202, 3618, 3793, 3838, 1780, 3434,
+    6238, 3654, 6358, 6686, 3874, 4013, 4058, 4094, 1846, 3462, 6266, 3682,
+    6386, 6714, 3902, 6470, 6798, 1602, 4122, 4233, 4278, 4314, 4342, 1912,
+    2516, 4429, 2637, 4438, 4483, 2747, 4446, 4491, 4527, 2846, 4453, 4498,
+    4534, 4562, 2934, 1944, 1954, 1963, 1971, 1978, 76,   172,  2523, 2644,
+    184,  2524, 4646, 2645, 2754, 2755, 196,  2525, 4647, 2646, 4656, 4701,
+    2756, 2853, 2854, 2855, 208,  2526, 4648, 2647, 4657, 4702, 2757, 4665,
+    4710, 4746, 2856, 2941, 2942, 2943, 2944, 220,  2527, 4649, 2648, 4658,
+    4703, 2758, 4666, 4711, 4747, 2857, 4673, 4718, 4754, 4782, 2945, 3018,
+    3019, 3020, 3021, 3022, 232,  239,  2006, 240,  2007, 2017, 241,  2008,
+    2018, 2027, 242,  2009, 2019, 2028, 2036, 243,  2010, 2020, 2029, 2037,
+    2044, 244,  83,   84,   85,   86,   87,   88,   17,   1615, 2473, 1681,
+    29,   1625, 3330, 3550, 1691, 2484, 3770, 2605, 1747, 1757, 41,   1634,
+    3339, 3559, 1700, 3384, 6188, 3604, 3779, 3824, 1766, 2495, 3990, 2616,
+    3999, 4044, 2726, 1813, 1823, 1832, 53,   1642, 3347, 3567, 1708, 3392,
+    6196, 3612, 3787, 3832, 1774, 3428, 6232, 3648, 6352, 6680, 3868, 4007,
+    4052, 4088, 1840, 2506, 4210, 2627, 4219, 4264, 2737, 4227, 4272, 4308,
+    2836, 1879, 1889, 1898, 1906, 65,   1649, 3354, 3574, 1715, 3399, 6203,
+    3619, 3794, 3839, 1781, 3435, 6239, 3655, 6359, 6687, 3875, 4014, 4059,
+    4095, 1847, 3463, 6267, 3683, 6387, 6715, 3903, 6471, 6799, 7008, 4123,
+    4234, 4279, 4315, 4343, 1913, 2517, 4430, 2638, 4439, 4484, 2748, 4447,
+    4492, 4528, 2847, 4454, 4499, 4535, 4563, 2935, 1945, 1955, 1964, 1972,
+    1979, 77,   1655, 3360, 3580, 1721, 3405, 6209, 3625, 3800, 3845, 1787,
+    3441, 6245, 3661, 6365, 6693, 3881, 4020, 4065, 4101, 1853, 3469, 6273,
+    3689, 6393, 6721, 3909, 6477, 6805, 7014, 4129, 4240, 4285, 4321, 4349,
+    1919, 3490, 6294, 3710, 6414, 6742, 3930, 6498, 6826, 7035, 4150, 6554,
+    6882, 7091, 1603, 4370, 4460, 4505, 4541, 4569, 4590, 1985, 2528, 4650,
+    2649, 4659, 4704, 2759, 4667, 4712, 4748, 2858, 4674, 4719, 4755, 4783,
+    2946, 4680, 4725, 4761, 4789, 4810, 3023, 2011, 2021, 2030, 2038, 2045,
+    2051, 89,   173,  2534, 2655, 185,  2535, 4866, 2656, 2765, 2766, 197,
+    2536, 4867, 2657, 4876, 4921, 2767, 2864, 2865, 2866, 209,  2537, 4868,
+    2658, 4877, 4922, 2768, 4885, 4930, 4966, 2867, 2952, 2953, 2954, 2955,
+    221,  2538, 4869, 2659, 4878, 4923, 2769, 4886, 4931, 4967, 2868, 4893,
+    4938, 4974, 5002, 2956, 3029, 3030, 3031, 3032, 3033, 233,  2539, 4870,
+    2660, 4879, 4924, 2770, 4887, 4932, 4968, 2869, 4894, 4939, 4975, 5003,
+    2957, 4900, 4945, 4981, 5009, 5030, 3034, 3095, 3096, 3097, 3098, 3099,
+    3100, 245,  251,  2072, 252,  2073, 2083, 253,  2074, 2084, 2093, 254,
+    2075, 2085, 2094, 2102, 255,  2076, 2086, 2095, 2103, 2110, 256,  2077,
+    2087, 2096, 2104, 2111, 2117, 257,  95,   96,   97,   98,   99,   100,
+    101,  18,   1616, 2474, 1682, 30,   1626, 3331, 3551, 1692, 2485, 3771,
+    2606, 1748, 1758, 42,   1635, 3340, 3560, 1701, 3385, 6189, 3605, 3780,
+    3825, 1767, 2496, 3991, 2617, 4000, 4045, 2727, 1814, 1824, 1833, 54,
+    1643, 3348, 3568, 1709, 3393, 6197, 3613, 3788, 3833, 1775, 3429, 6233,
+    3649, 6353, 6681, 3869, 4008, 4053, 4089, 1841, 2507, 4211, 2628, 4220,
+    4265, 2738, 4228, 4273, 4309, 2837, 1880, 1890, 1899, 1907, 66,   1650,
+    3355, 3575, 1716, 3400, 6204, 3620, 3795, 3840, 1782, 3436, 6240, 3656,
+    6360, 6688, 3876, 4015, 4060, 4096, 1848, 3464, 6268, 3684, 6388, 6716,
+    3904, 6472, 6800, 7009, 4124, 4235, 4280, 4316, 4344, 1914, 2518, 4431,
+    2639, 4440, 4485, 2749, 4448, 4493, 4529, 2848, 4455, 4500, 4536, 4564,
+    2936, 1946, 1956, 1965, 1973, 1980, 78,   1656, 3361, 3581, 1722, 3406,
+    6210, 3626, 3801, 3846, 1788, 3442, 6246, 3662, 6366, 6694, 3882, 4021,
+    4066, 4102, 1854, 3470, 6274, 3690, 6394, 6722, 3910, 6478, 6806, 7015,
+    4130, 4241, 4286, 4322, 4350, 1920, 3491, 6295, 3711, 6415, 6743, 3931,
+    6499, 6827, 7036, 4151, 6555, 6883, 7092, 7217, 4371, 4461, 4506, 4542,
+    4570, 4591, 1986, 2529, 4651, 2650, 4660, 4705, 2760, 4668, 4713, 4749,
+    2859, 4675, 4720, 4756, 4784, 2947, 4681, 4726, 4762, 4790, 4811, 3024,
+    2012, 2022, 2031, 2039, 2046, 2052, 90,   1661, 3366, 3586, 1727, 3411,
+    6215, 3631, 3806, 3851, 1793, 3447, 6251, 3667, 6371, 6699, 3887, 4026,
+    4071, 4107, 1859, 3475, 6279, 3695, 6399, 6727, 3915, 6483, 6811, 7020,
+    4135, 4246, 4291, 4327, 4355, 1925, 3496, 6300, 3716, 6420, 6748, 3936,
+    6504, 6832, 7041, 4156, 6560, 6888, 7097, 7222, 4376, 4466, 4511, 4547,
+    4575, 4596, 1991, 3511, 6315, 3731, 6435, 6763, 3951, 6519, 6847, 7056,
+    4171, 6575, 6903, 7112, 7237, 4391, 6610, 6938, 7147, 7272, 1604, 4611,
+    4686, 4731, 4767, 4795, 4816, 4831, 2057, 2540, 4871, 2661, 4880, 4925,
+    2771, 4888, 4933, 4969, 2870, 4895, 4940, 4976, 5004, 2958, 4901, 4946,
+    4982, 5010, 5031, 3035, 4906, 4951, 4987, 5015, 5036, 5051, 3101, 2078,
+    2088, 2097, 2105, 2112, 2118, 2123, 102,  174,  2545, 2666, 186,  2546,
+    5086, 2667, 2776, 2777, 198,  2547, 5087, 2668, 5096, 5141, 2778, 2875,
+    2876, 2877, 210,  2548, 5088, 2669, 5097, 5142, 2779, 5105, 5150, 5186,
+    2878, 2963, 2964, 2965, 2966, 222,  2549, 5089, 2670, 5098, 5143, 2780,
+    5106, 5151, 5187, 2879, 5113, 5158, 5194, 5222, 2967, 3040, 3041, 3042,
+    3043, 3044, 234,  2550, 5090, 2671, 5099, 5144, 2781, 5107, 5152, 5188,
+    2880, 5114, 5159, 5195, 5223, 2968, 5120, 5165, 5201, 5229, 5250, 3045,
+    3106, 3107, 3108, 3109, 3110, 3111, 246,  2551, 5091, 2672, 5100, 5145,
+    2782, 5108, 5153, 5189, 2881, 5115, 5160, 5196, 5224, 2969, 5121, 5166,
+    5202, 5230, 5251, 3046, 5126, 5171, 5207, 5235, 5256, 5271, 3112, 3161,
+    3162, 3163, 3164, 3165, 3166, 3167, 258,  263,  2138, 264,  2139, 2149,
+    265,  2140, 2150, 2159, 266,  2141, 2151, 2160, 2168, 267,  2142, 2152,
+    2161, 2169, 2176, 268,  2143, 2153, 2162, 2170, 2177, 2183, 269,  2144,
+    2154, 2163, 2171, 2178, 2184, 2189, 270,  107,  108,  109,  110,  111,
+    112,  113,  114,  19,   1617, 2475, 1683, 31,   1627, 3332, 3552, 1693,
+    2486, 3772, 2607, 1749, 1759, 43,   1636, 3341, 3561, 1702, 3386, 6190,
+    3606, 3781, 3826, 1768, 2497, 3992, 2618, 4001, 4046, 2728, 1815, 1825,
+    1834, 55,   1644, 3349, 3569, 1710, 3394, 6198, 3614, 3789, 3834, 1776,
+    3430, 6234, 3650, 6354, 6682, 3870, 4009, 4054, 4090, 1842, 2508, 4212,
+    2629, 4221, 4266, 2739, 4229, 4274, 4310, 2838, 1881, 1891, 1900, 1908,
+    67,   1651, 3356, 3576, 1717, 3401, 6205, 3621, 3796, 3841, 1783, 3437,
+    6241, 3657, 6361, 6689, 3877, 4016, 4061, 4097, 1849, 3465, 6269, 3685,
+    6389, 6717, 3905, 6473, 6801, 7010, 4125, 4236, 4281, 4317, 4345, 1915,
+    2519, 4432, 2640, 4441, 4486, 2750, 4449, 4494, 4530, 2849, 4456, 4501,
+    4537, 4565, 2937, 1947, 1957, 1966, 1974, 1981, 79,   1657, 3362, 3582,
+    1723, 3407, 6211, 3627, 3802, 3847, 1789, 3443, 6247, 3663, 6367, 6695,
+    3883, 4022, 4067, 4103, 1855, 3471, 6275, 3691, 6395, 6723, 3911, 6479,
+    6807, 7016, 4131, 4242, 4287, 4323, 4351, 1921, 3492, 6296, 3712, 6416,
+    6744, 3932, 6500, 6828, 7037, 4152, 6556, 6884, 7093, 7218, 4372, 4462,
+    4507, 4543, 4571, 4592, 1987, 2530, 4652, 2651, 4661, 4706, 2761, 4669,
+    4714, 4750, 2860, 4676, 4721, 4757, 4785, 2948, 4682, 4727, 4763, 4791,
+    4812, 3025, 2013, 2023, 2032, 2040, 2047, 2053, 91,   1662, 3367, 3587,
+    1728, 3412, 6216, 3632, 3807, 3852, 1794, 3448, 6252, 3668, 6372, 6700,
+    3888, 4027, 4072, 4108, 1860, 3476, 6280, 3696, 6400, 6728, 3916, 6484,
+    6812, 7021, 4136, 4247, 4292, 4328, 4356, 1926, 3497, 6301, 3717, 6421,
+    6749, 3937, 6505, 6833, 7042, 4157, 6561, 6889, 7098, 7223, 4377, 4467,
+    4512, 4548, 4576, 4597, 1992, 3512, 6316, 3732, 6436, 6764, 3952, 6520,
+    6848, 7057, 4172, 6576, 6904, 7113, 7238, 4392, 6611, 6939, 7148, 7273,
+    7342, 4612, 4687, 4732, 4768, 4796, 4817, 4832, 2058, 2541, 4872, 2662,
+    4881, 4926, 2772, 4889, 4934, 4970, 2871, 4896, 4941, 4977, 5005, 2959,
+    4902, 4947, 4983, 5011, 5032, 3036, 4907, 4952, 4988, 5016, 5037, 5052,
+    3102, 2079, 2089, 2098, 2106, 2113, 2119, 2124, 103,  1666, 3371, 3591,
+    1732, 3416, 6220, 3636, 3811, 3856, 1798, 3452, 6256, 3672, 6376, 6704,
+    3892, 4031, 4076, 4112, 1864, 3480, 6284, 3700, 6404, 6732, 3920, 6488,
+    6816, 7025, 4140, 4251, 4296, 4332, 4360, 1930, 3501, 6305, 3721, 6425,
+    6753, 3941, 6509, 6837, 7046, 4161, 6565, 6893, 7102, 7227, 4381, 4471,
+    4516, 4552, 4580, 4601, 1996, 3516, 6320, 3736, 6440, 6768, 3956, 6524,
+    6852, 7061, 4176, 6580, 6908, 7117, 7242, 4396, 6615, 6943, 7152, 7277,
+    7346, 4616, 4691, 4736, 4772, 4800, 4821, 4836, 2062, 3526, 6330, 3746,
+    6450, 6778, 3966, 6534, 6862, 7071, 4186, 6590, 6918, 7127, 7252, 4406,
+    6625, 6953, 7162, 7287, 7356, 4626, 1606, 1606, 1606, 1606, 1606, 1605,
+    1606, 4911, 4956, 4992, 5020, 5041, 5056, 1606, 2128, 2552, 5092, 2673,
+    5101, 5146, 2783, 5109, 5154, 5190, 2882, 5116, 5161, 5197, 5225, 2970,
+    5122, 5167, 5203, 5231, 5252, 3047, 5127, 5172, 5208, 5236, 5257, 5272,
+    3113, 5131, 5176, 5212, 5240, 5261, 5276, 1606, 3168, 2145, 2155, 2164,
+    2172, 2179, 2185, 2190, 2194, 115,  175,  2556, 2677, 187,  2557, 5306,
+    2678, 2787, 2788, 199,  2558, 5307, 2679, 5316, 5361, 2789, 2886, 2887,
+    2888, 211,  2559, 5308, 2680, 5317, 5362, 2790, 5325, 5370, 5406, 2889,
+    2974, 2975, 2976, 2977, 223,  2560, 5309, 2681, 5318, 5363, 2791, 5326,
+    5371, 5407, 2890, 5333, 5378, 5414, 5442, 2978, 3051, 3052, 3053, 3054,
+    3055, 235,  2561, 5310, 2682, 5319, 5364, 2792, 5327, 5372, 5408, 2891,
+    5334, 5379, 5415, 5443, 2979, 5340, 5385, 5421, 5449, 5470, 3056, 3117,
+    3118, 3119, 3120, 3121, 3122, 247,  2562, 5311, 2683, 5320, 5365, 2793,
+    5328, 5373, 5409, 2892, 5335, 5380, 5416, 5444, 2980, 5341, 5386, 5422,
+    5450, 5471, 3057, 5346, 5391, 5427, 5455, 5476, 5491, 3123, 3172, 3173,
+    3174, 3175, 3176, 3177, 3178, 259,  2563, 5312, 2684, 5321, 5366, 2794,
+    5329, 5374, 5410, 2893, 5336, 5381, 5417, 5445, 2981, 5342, 5387, 5423,
+    5451, 5472, 3058, 5347, 5392, 5428, 5456, 5477, 5492, 3124, 5351, 5396,
+    5432, 5460, 5481, 5496, 1606, 3179, 3216, 3217, 3218, 3219, 3220, 3221,
+    3222, 3223, 271,  275,  2204, 276,  2205, 2215, 277,  2206, 2216, 2225,
+    278,  2207, 2217, 2226, 2234, 279,  2208, 2218, 2227, 2235, 2242, 280,
+    2209, 2219, 2228, 2236, 2243, 2249, 281,  2210, 2220, 2229, 2237, 2244,
+    2250, 2255, 282,  2211, 2221, 2230, 2238, 2245, 2251, 2256, 2260, 283,
+    119,  120,  121,  122,  123,  124,  125,  126,  127,  20,   176,  2476,
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+    176,  2567, 2688, 188,  2568, 5526, 2689, 2798, 2799, 200,  2498, 2897,
+    2619, 2897, 2898, 2729, 212,  212,  212,  56,   176,  2567, 2688, 188,
+    2568, 5526, 2689, 2798, 2799, 200,  2569, 5527, 2690, 5536, 5581, 2800,
+    2897, 2898, 2899, 212,  2509, 2985, 2630, 2985, 2986, 2740, 2985, 2986,
+    2987, 2839, 224,  224,  224,  224,  68,   176,  2567, 2688, 188,  2568,
+    5526, 2689, 2798, 2799, 200,  2569, 5527, 2690, 5536, 5581, 2800, 2897,
+    2898, 2899, 212,  2570, 5528, 2691, 5537, 5582, 2801, 5545, 5590, 5626,
+    2900, 2985, 2986, 2987, 2988, 224,  2520, 3062, 2641, 3062, 3063, 2751,
+    3062, 3063, 3064, 2850, 3062, 3063, 3064, 3065, 2938, 236,  236,  236,
+    236,  236,  80,   176,  2567, 2688, 188,  2568, 5526, 2689, 2798, 2799,
+    200,  2569, 5527, 2690, 5536, 5581, 2800, 2897, 2898, 2899, 212,  2570,
+    5528, 2691, 5537, 5582, 2801, 5545, 5590, 5626, 2900, 2985, 2986, 2987,
+    2988, 224,  2571, 5529, 2692, 5538, 5583, 2802, 5546, 5591, 5627, 2901,
+    5553, 5598, 5634, 5662, 2989, 3062, 3063, 3064, 3065, 3066, 236,  2531,
+    3128, 2652, 3128, 3129, 2762, 3128, 3129, 3130, 2861, 3128, 3129, 3130,
+    3131, 2949, 3128, 3129, 3130, 3131, 3132, 3026, 248,  248,  248,  248,
+    248,  248,  92,   176,  2567, 2688, 188,  2568, 5526, 2689, 2798, 2799,
+    200,  2569, 5527, 2690, 5536, 5581, 2800, 2897, 2898, 2899, 212,  2570,
+    5528, 2691, 5537, 5582, 2801, 5545, 5590, 5626, 2900, 2985, 2986, 2987,
+    2988, 224,  2571, 5529, 2692, 5538, 5583, 2802, 5546, 5591, 5627, 2901,
+    5553, 5598, 5634, 5662, 2989, 3062, 3063, 3064, 3065, 3066, 236,  2572,
+    5530, 2693, 5539, 5584, 2803, 5547, 5592, 5628, 2902, 5554, 5599, 5635,
+    5663, 2990, 5560, 5605, 5641, 5669, 5690, 3067, 3128, 3129, 3130, 3131,
+    3132, 3133, 248,  2542, 3183, 2663, 3183, 3184, 2773, 3183, 3184, 3185,
+    2872, 3183, 3184, 3185, 3186, 2960, 3183, 3184, 3185, 3186, 3187, 3037,
+    3183, 3184, 3185, 3186, 3187, 3188, 3103, 260,  260,  260,  260,  260,
+    260,  260,  104,  176,  2567, 2688, 188,  2568, 5526, 2689, 2798, 2799,
+    200,  2569, 5527, 2690, 5536, 5581, 2800, 2897, 2898, 2899, 212,  2570,
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+    2988, 224,  2571, 5529, 2692, 5538, 5583, 2802, 5546, 5591, 5627, 2901,
+    5553, 5598, 5634, 5662, 2989, 3062, 3063, 3064, 3065, 3066, 236,  2572,
+    5530, 2693, 5539, 5584, 2803, 5547, 5592, 5628, 2902, 5554, 5599, 5635,
+    5663, 2990, 5560, 5605, 5641, 5669, 5690, 3067, 3128, 3129, 3130, 3131,
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+    2903, 5555, 5600, 5636, 5664, 2991, 5561, 5606, 5642, 5670, 5691, 3068,
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+    3227, 3228, 3229, 3230, 3231, 3232, 3114, 3227, 3228, 3229, 3230, 3231,
+    3232, 3233, 3169, 272,  272,  272,  272,  272,  272,  272,  272,  116,
+    176,  2567, 2688, 188,  2568, 5526, 2689, 2798, 2799, 200,  2569, 5527,
+    2690, 5536, 5581, 2800, 2897, 2898, 2899, 212,  2570, 5528, 2691, 5537,
+    5582, 2801, 5545, 5590, 5626, 2900, 2985, 2986, 2987, 2988, 224,  2571,
+    5529, 2692, 5538, 5583, 2802, 5546, 5591, 5627, 2901, 5553, 5598, 5634,
+    5662, 2989, 3062, 3063, 3064, 3065, 3066, 236,  2572, 5530, 2693, 5539,
+    5584, 2803, 5547, 5592, 5628, 2902, 5554, 5599, 5635, 5663, 2990, 5560,
+    5605, 5641, 5669, 5690, 3067, 3128, 3129, 3130, 3131, 3132, 3133, 248,
+    2573, 5531, 2694, 5540, 5585, 2804, 5548, 5593, 5629, 2903, 5555, 5600,
+    5636, 5664, 2991, 5561, 5606, 5642, 5670, 5691, 3068, 5566, 5611, 5647,
+    5675, 5696, 5711, 3134, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 260,
+    2574, 5532, 2695, 5541, 5586, 2805, 5549, 5594, 5630, 2904, 5556, 5601,
+    5637, 5665, 2992, 5562, 5607, 5643, 5671, 5692, 3069, 5567, 5612, 5648,
+    5676, 5697, 5712, 3135, 5571, 5616, 5652, 5680, 5701, 5716, 1606, 3190,
+    3227, 3228, 3229, 3230, 3231, 3232, 3233, 3234, 272,  2564, 3260, 2685,
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+    3263, 3264, 3265, 3266, 3267, 3224, 284,  284,  284,  284,  284,  284,
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+    2291, 290,  2273, 2283, 2292, 2300, 291,  2274, 2284, 2293, 2301, 2308,
+    292,  2275, 2285, 2294, 2302, 2309, 2315, 293,  2276, 2286, 2295, 2303,
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+    132,  133,  134,  135,  136,  131,  132,  133,  134,  135,  136,  137,
+    131,  132,  133,  134,  135,  136,  137,  138,  131,  132,  133,  134,
+    135,  136,  137,  138,  139,  131,  132,  133,  134,  135,  136,  137,
+    138,  139,  140,  11,   167,  179,  23,   12,   1610, 2468, 1676, 24,
+    168,  2479, 2600, 180,  191,  1742, 192,  35,   36,   13,   1611, 2469,
+    1677, 25,   1621, 3326, 3546, 1687, 2480, 3766, 2601, 1743, 1753, 37,
+    169,  2490, 2611, 181,  2491, 3986, 2612, 2721, 2722, 193,  203,  1808,
+    204,  1809, 1819, 205,  47,   48,   49,   14,   1612, 2470, 1678, 26,
+    1622, 3327, 3547, 1688, 2481, 3767, 2602, 1744, 1754, 38,   1631, 3336,
+    3556, 1697, 3381, 1600, 3601, 3776, 3821, 1763, 2492, 3987, 2613, 3996,
+    4041, 2723, 1810, 1820, 1829, 50,   170,  2501, 2622, 182,  2502, 4206,
+    2623, 2732, 2733, 194,  2503, 4207, 2624, 4216, 4261, 2734, 2831, 2832,
+    2833, 206,  215,  1874, 216,  1875, 1885, 217,  1876, 1886, 1895, 218,
+    59,   60,   61,   62,   15,   1613, 2471, 1679, 27,   1623, 3328, 3548,
+    1689, 2482, 3768, 2603, 1745, 1755, 39,   1632, 3337, 3557, 1698, 3382,
+    6186, 3602, 3777, 3822, 1764, 2493, 3988, 2614, 3997, 4042, 2724, 1811,
+    1821, 1830, 51,   1640, 3345, 3565, 1706, 3390, 6194, 3610, 3785, 3830,
+    1772, 3426, 6230, 3646, 6350, 1601, 3866, 4005, 4050, 4086, 1838, 2504,
+    4208, 2625, 4217, 4262, 2735, 4225, 4270, 4306, 2834, 1877, 1887, 1896,
+    1904, 63,   171,  2512, 2633, 183,  2513, 4426, 2634, 2743, 2744, 195,
+    2514, 4427, 2635, 4436, 4481, 2745, 2842, 2843, 2844, 207,  2515, 4428,
+    2636, 4437, 4482, 2746, 4445, 4490, 4526, 2845, 2930, 2931, 2932, 2933,
+    219,  227,  1940, 228,  1941, 1951, 229,  1942, 1952, 1961, 230,  1943,
+    1953, 1962, 1970, 231,  71,   72,   73,   74,   75,   16,   1614, 2472,
+    1680, 28,   1624, 3329, 3549, 1690, 2483, 3769, 2604, 1746, 1756, 40,
+    1633, 3338, 3558, 1699, 3383, 6187, 3603, 3778, 3823, 1765, 2494, 3989,
+    2615, 3998, 4043, 2725, 1812, 1822, 1831, 52,   1641, 3346, 3566, 1707,
+    3391, 6195, 3611, 3786, 3831, 1773, 3427, 6231, 3647, 6351, 6679, 3867,
+    4006, 4051, 4087, 1839, 2505, 4209, 2626, 4218, 4263, 2736, 4226, 4271,
+    4307, 2835, 1878, 1888, 1897, 1905, 64,   1648, 3353, 3573, 1714, 3398,
+    6202, 3618, 3793, 3838, 1780, 3434, 6238, 3654, 6358, 6686, 3874, 4013,
+    4058, 4094, 1846, 3462, 6266, 3682, 6386, 6714, 3902, 6470, 6798, 1602,
+    4122, 4233, 4278, 4314, 4342, 1912, 2516, 4429, 2637, 4438, 4483, 2747,
+    4446, 4491, 4527, 2846, 4453, 4498, 4534, 4562, 2934, 1944, 1954, 1963,
+    1971, 1978, 76,   172,  2523, 2644, 184,  2524, 4646, 2645, 2754, 2755,
+    196,  2525, 4647, 2646, 4656, 4701, 2756, 2853, 2854, 2855, 208,  2526,
+    4648, 2647, 4657, 4702, 2757, 4665, 4710, 4746, 2856, 2941, 2942, 2943,
+    2944, 220,  2527, 4649, 2648, 4658, 4703, 2758, 4666, 4711, 4747, 2857,
+    4673, 4718, 4754, 4782, 2945, 3018, 3019, 3020, 3021, 3022, 232,  239,
+    2006, 240,  2007, 2017, 241,  2008, 2018, 2027, 242,  2009, 2019, 2028,
+    2036, 243,  2010, 2020, 2029, 2037, 2044, 244,  83,   84,   85,   86,
+    87,   88,   17,   1615, 2473, 1681, 29,   1625, 3330, 3550, 1691, 2484,
+    3770, 2605, 1747, 1757, 41,   1634, 3339, 3559, 1700, 3384, 6188, 3604,
+    3779, 3824, 1766, 2495, 3990, 2616, 3999, 4044, 2726, 1813, 1823, 1832,
+    53,   1642, 3347, 3567, 1708, 3392, 6196, 3612, 3787, 3832, 1774, 3428,
+    6232, 3648, 6352, 6680, 3868, 4007, 4052, 4088, 1840, 2506, 4210, 2627,
+    4219, 4264, 2737, 4227, 4272, 4308, 2836, 1879, 1889, 1898, 1906, 65,
+    1649, 3354, 3574, 1715, 3399, 6203, 3619, 3794, 3839, 1781, 3435, 6239,
+    3655, 6359, 6687, 3875, 4014, 4059, 4095, 1847, 3463, 6267, 3683, 6387,
+    6715, 3903, 6471, 6799, 7008, 4123, 4234, 4279, 4315, 4343, 1913, 2517,
+    4430, 2638, 4439, 4484, 2748, 4447, 4492, 4528, 2847, 4454, 4499, 4535,
+    4563, 2935, 1945, 1955, 1964, 1972, 1979, 77,   1655, 3360, 3580, 1721,
+    3405, 6209, 3625, 3800, 3845, 1787, 3441, 6245, 3661, 6365, 6693, 3881,
+    4020, 4065, 4101, 1853, 3469, 6273, 3689, 6393, 6721, 3909, 6477, 6805,
+    7014, 4129, 4240, 4285, 4321, 4349, 1919, 3490, 6294, 3710, 6414, 6742,
+    3930, 6498, 6826, 7035, 4150, 6554, 6882, 7091, 1603, 4370, 4460, 4505,
+    4541, 4569, 4590, 1985, 2528, 4650, 2649, 4659, 4704, 2759, 4667, 4712,
+    4748, 2858, 4674, 4719, 4755, 4783, 2946, 4680, 4725, 4761, 4789, 4810,
+    3023, 2011, 2021, 2030, 2038, 2045, 2051, 89,   173,  2534, 2655, 185,
+    2535, 4866, 2656, 2765, 2766, 197,  2536, 4867, 2657, 4876, 4921, 2767,
+    2864, 2865, 2866, 209,  2537, 4868, 2658, 4877, 4922, 2768, 4885, 4930,
+    4966, 2867, 2952, 2953, 2954, 2955, 221,  2538, 4869, 2659, 4878, 4923,
+    2769, 4886, 4931, 4967, 2868, 4893, 4938, 4974, 5002, 2956, 3029, 3030,
+    3031, 3032, 3033, 233,  2539, 4870, 2660, 4879, 4924, 2770, 4887, 4932,
+    4968, 2869, 4894, 4939, 4975, 5003, 2957, 4900, 4945, 4981, 5009, 5030,
+    3034, 3095, 3096, 3097, 3098, 3099, 3100, 245,  251,  2072, 252,  2073,
+    2083, 253,  2074, 2084, 2093, 254,  2075, 2085, 2094, 2102, 255,  2076,
+    2086, 2095, 2103, 2110, 256,  2077, 2087, 2096, 2104, 2111, 2117, 257,
+    95,   96,   97,   98,   99,   100,  101,  18,   1616, 2474, 1682, 30,
+    1626, 3331, 3551, 1692, 2485, 3771, 2606, 1748, 1758, 42,   1635, 3340,
+    3560, 1701, 3385, 6189, 3605, 3780, 3825, 1767, 2496, 3991, 2617, 4000,
+    4045, 2727, 1814, 1824, 1833, 54,   1643, 3348, 3568, 1709, 3393, 6197,
+    3613, 3788, 3833, 1775, 3429, 6233, 3649, 6353, 6681, 3869, 4008, 4053,
+    4089, 1841, 2507, 4211, 2628, 4220, 4265, 2738, 4228, 4273, 4309, 2837,
+    1880, 1890, 1899, 1907, 66,   1650, 3355, 3575, 1716, 3400, 6204, 3620,
+    3795, 3840, 1782, 3436, 6240, 3656, 6360, 6688, 3876, 4015, 4060, 4096,
+    1848, 3464, 6268, 3684, 6388, 6716, 3904, 6472, 6800, 7009, 4124, 4235,
+    4280, 4316, 4344, 1914, 2518, 4431, 2639, 4440, 4485, 2749, 4448, 4493,
+    4529, 2848, 4455, 4500, 4536, 4564, 2936, 1946, 1956, 1965, 1973, 1980,
+    78,   1656, 3361, 3581, 1722, 3406, 6210, 3626, 3801, 3846, 1788, 3442,
+    6246, 3662, 6366, 6694, 3882, 4021, 4066, 4102, 1854, 3470, 6274, 3690,
+    6394, 6722, 3910, 6478, 6806, 7015, 4130, 4241, 4286, 4322, 4350, 1920,
+    3491, 6295, 3711, 6415, 6743, 3931, 6499, 6827, 7036, 4151, 6555, 6883,
+    7092, 7217, 4371, 4461, 4506, 4542, 4570, 4591, 1986, 2529, 4651, 2650,
+    4660, 4705, 2760, 4668, 4713, 4749, 2859, 4675, 4720, 4756, 4784, 2947,
+    4681, 4726, 4762, 4790, 4811, 3024, 2012, 2022, 2031, 2039, 2046, 2052,
+    90,   1661, 3366, 3586, 1727, 3411, 6215, 3631, 3806, 3851, 1793, 3447,
+    6251, 3667, 6371, 6699, 3887, 4026, 4071, 4107, 1859, 3475, 6279, 3695,
+    6399, 6727, 3915, 6483, 6811, 7020, 4135, 4246, 4291, 4327, 4355, 1925,
+    3496, 6300, 3716, 6420, 6748, 3936, 6504, 6832, 7041, 4156, 6560, 6888,
+    7097, 7222, 4376, 4466, 4511, 4547, 4575, 4596, 1991, 3511, 6315, 3731,
+    6435, 6763, 3951, 6519, 6847, 7056, 4171, 6575, 6903, 7112, 7237, 4391,
+    6610, 6938, 7147, 7272, 1604, 4611, 4686, 4731, 4767, 4795, 4816, 4831,
+    2057, 2540, 4871, 2661, 4880, 4925, 2771, 4888, 4933, 4969, 2870, 4895,
+    4940, 4976, 5004, 2958, 4901, 4946, 4982, 5010, 5031, 3035, 4906, 4951,
+    4987, 5015, 5036, 5051, 3101, 2078, 2088, 2097, 2105, 2112, 2118, 2123,
+    102,  174,  2545, 2666, 186,  2546, 5086, 2667, 2776, 2777, 198,  2547,
+    5087, 2668, 5096, 5141, 2778, 2875, 2876, 2877, 210,  2548, 5088, 2669,
+    5097, 5142, 2779, 5105, 5150, 5186, 2878, 2963, 2964, 2965, 2966, 222,
+    2549, 5089, 2670, 5098, 5143, 2780, 5106, 5151, 5187, 2879, 5113, 5158,
+    5194, 5222, 2967, 3040, 3041, 3042, 3043, 3044, 234,  2550, 5090, 2671,
+    5099, 5144, 2781, 5107, 5152, 5188, 2880, 5114, 5159, 5195, 5223, 2968,
+    5120, 5165, 5201, 5229, 5250, 3045, 3106, 3107, 3108, 3109, 3110, 3111,
+    246,  2551, 5091, 2672, 5100, 5145, 2782, 5108, 5153, 5189, 2881, 5115,
+    5160, 5196, 5224, 2969, 5121, 5166, 5202, 5230, 5251, 3046, 5126, 5171,
+    5207, 5235, 5256, 5271, 3112, 3161, 3162, 3163, 3164, 3165, 3166, 3167,
+    258,  263,  2138, 264,  2139, 2149, 265,  2140, 2150, 2159, 266,  2141,
+    2151, 2160, 2168, 267,  2142, 2152, 2161, 2169, 2176, 268,  2143, 2153,
+    2162, 2170, 2177, 2183, 269,  2144, 2154, 2163, 2171, 2178, 2184, 2189,
+    270,  107,  108,  109,  110,  111,  112,  113,  114,  19,   1617, 2475,
+    1683, 31,   1627, 3332, 3552, 1693, 2486, 3772, 2607, 1749, 1759, 43,
+    1636, 3341, 3561, 1702, 3386, 6190, 3606, 3781, 3826, 1768, 2497, 3992,
+    2618, 4001, 4046, 2728, 1815, 1825, 1834, 55,   1644, 3349, 3569, 1710,
+    3394, 6198, 3614, 3789, 3834, 1776, 3430, 6234, 3650, 6354, 6682, 3870,
+    4009, 4054, 4090, 1842, 2508, 4212, 2629, 4221, 4266, 2739, 4229, 4274,
+    4310, 2838, 1881, 1891, 1900, 1908, 67,   1651, 3356, 3576, 1717, 3401,
+    6205, 3621, 3796, 3841, 1783, 3437, 6241, 3657, 6361, 6689, 3877, 4016,
+    4061, 4097, 1849, 3465, 6269, 3685, 6389, 6717, 3905, 6473, 6801, 7010,
+    4125, 4236, 4281, 4317, 4345, 1915, 2519, 4432, 2640, 4441, 4486, 2750,
+    4449, 4494, 4530, 2849, 4456, 4501, 4537, 4565, 2937, 1947, 1957, 1966,
+    1974, 1981, 79,   1657, 3362, 3582, 1723, 3407, 6211, 3627, 3802, 3847,
+    1789, 3443, 6247, 3663, 6367, 6695, 3883, 4022, 4067, 4103, 1855, 3471,
+    6275, 3691, 6395, 6723, 3911, 6479, 6807, 7016, 4131, 4242, 4287, 4323,
+    4351, 1921, 3492, 6296, 3712, 6416, 6744, 3932, 6500, 6828, 7037, 4152,
+    6556, 6884, 7093, 7218, 4372, 4462, 4507, 4543, 4571, 4592, 1987, 2530,
+    4652, 2651, 4661, 4706, 2761, 4669, 4714, 4750, 2860, 4676, 4721, 4757,
+    4785, 2948, 4682, 4727, 4763, 4791, 4812, 3025, 2013, 2023, 2032, 2040,
+    2047, 2053, 91,   1662, 3367, 3587, 1728, 3412, 6216, 3632, 3807, 3852,
+    1794, 3448, 6252, 3668, 6372, 6700, 3888, 4027, 4072, 4108, 1860, 3476,
+    6280, 3696, 6400, 6728, 3916, 6484, 6812, 7021, 4136, 4247, 4292, 4328,
+    4356, 1926, 3497, 6301, 3717, 6421, 6749, 3937, 6505, 6833, 7042, 4157,
+    6561, 6889, 7098, 7223, 4377, 4467, 4512, 4548, 4576, 4597, 1992, 3512,
+    6316, 3732, 6436, 6764, 3952, 6520, 6848, 7057, 4172, 6576, 6904, 7113,
+    7238, 4392, 6611, 6939, 7148, 7273, 7342, 4612, 4687, 4732, 4768, 4796,
+    4817, 4832, 2058, 2541, 4872, 2662, 4881, 4926, 2772, 4889, 4934, 4970,
+    2871, 4896, 4941, 4977, 5005, 2959, 4902, 4947, 4983, 5011, 5032, 3036,
+    4907, 4952, 4988, 5016, 5037, 5052, 3102, 2079, 2089, 2098, 2106, 2113,
+    2119, 2124, 103,  1666, 3371, 3591, 1732, 3416, 6220, 3636, 3811, 3856,
+    1798, 3452, 6256, 3672, 6376, 6704, 3892, 4031, 4076, 4112, 1864, 3480,
+    6284, 3700, 6404, 6732, 3920, 6488, 6816, 7025, 4140, 4251, 4296, 4332,
+    4360, 1930, 3501, 6305, 3721, 6425, 6753, 3941, 6509, 6837, 7046, 4161,
+    6565, 6893, 7102, 7227, 4381, 4471, 4516, 4552, 4580, 4601, 1996, 3516,
+    6320, 3736, 6440, 6768, 3956, 6524, 6852, 7061, 4176, 6580, 6908, 7117,
+    7242, 4396, 6615, 6943, 7152, 7277, 7346, 4616, 4691, 4736, 4772, 4800,
+    4821, 4836, 2062, 3526, 6330, 3746, 6450, 6778, 3966, 6534, 6862, 7071,
+    4186, 6590, 6918, 7127, 7252, 4406, 6625, 6953, 7162, 7287, 7356, 4626,
+    6645, 6973, 7182, 7307, 7376, 1605, 4846, 4911, 4956, 4992, 5020, 5041,
+    5056, 5066, 2128, 2552, 5092, 2673, 5101, 5146, 2783, 5109, 5154, 5190,
+    2882, 5116, 5161, 5197, 5225, 2970, 5122, 5167, 5203, 5231, 5252, 3047,
+    5127, 5172, 5208, 5236, 5257, 5272, 3113, 5131, 5176, 5212, 5240, 5261,
+    5276, 5286, 3168, 2145, 2155, 2164, 2172, 2179, 2185, 2190, 2194, 115,
+    175,  2556, 2677, 187,  2557, 5306, 2678, 2787, 2788, 199,  2558, 5307,
+    2679, 5316, 5361, 2789, 2886, 2887, 2888, 211,  2559, 5308, 2680, 5317,
+    5362, 2790, 5325, 5370, 5406, 2889, 2974, 2975, 2976, 2977, 223,  2560,
+    5309, 2681, 5318, 5363, 2791, 5326, 5371, 5407, 2890, 5333, 5378, 5414,
+    5442, 2978, 3051, 3052, 3053, 3054, 3055, 235,  2561, 5310, 2682, 5319,
+    5364, 2792, 5327, 5372, 5408, 2891, 5334, 5379, 5415, 5443, 2979, 5340,
+    5385, 5421, 5449, 5470, 3056, 3117, 3118, 3119, 3120, 3121, 3122, 247,
+    2562, 5311, 2683, 5320, 5365, 2793, 5328, 5373, 5409, 2892, 5335, 5380,
+    5416, 5444, 2980, 5341, 5386, 5422, 5450, 5471, 3057, 5346, 5391, 5427,
+    5455, 5476, 5491, 3123, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 259,
+    2563, 5312, 2684, 5321, 5366, 2794, 5329, 5374, 5410, 2893, 5336, 5381,
+    5417, 5445, 2981, 5342, 5387, 5423, 5451, 5472, 3058, 5347, 5392, 5428,
+    5456, 5477, 5492, 3124, 5351, 5396, 5432, 5460, 5481, 5496, 5506, 3179,
+    3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 271,  275,  2204, 276,
+    2205, 2215, 277,  2206, 2216, 2225, 278,  2207, 2217, 2226, 2234, 279,
+    2208, 2218, 2227, 2235, 2242, 280,  2209, 2219, 2228, 2236, 2243, 2249,
+    281,  2210, 2220, 2229, 2237, 2244, 2250, 2255, 282,  2211, 2221, 2230,
+    2238, 2245, 2251, 2256, 2260, 283,  119,  120,  121,  122,  123,  124,
+    125,  126,  127,  20,   1618, 2476, 1684, 32,   1628, 3333, 3553, 1694,
+    2487, 3773, 2608, 1750, 1760, 44,   1637, 3342, 3562, 1703, 3387, 6191,
+    3607, 3782, 3827, 1769, 2498, 3993, 2619, 4002, 4047, 2729, 1816, 1826,
+    1835, 56,   1645, 3350, 3570, 1711, 3395, 6199, 3615, 3790, 3835, 1777,
+    3431, 6235, 3651, 6355, 6683, 3871, 4010, 4055, 4091, 1843, 2509, 4213,
+    2630, 4222, 4267, 2740, 4230, 4275, 4311, 2839, 1882, 1892, 1901, 1909,
+    68,   1652, 3357, 3577, 1718, 3402, 6206, 3622, 3797, 3842, 1784, 3438,
+    6242, 3658, 6362, 6690, 3878, 4017, 4062, 4098, 1850, 3466, 6270, 3686,
+    6390, 6718, 3906, 6474, 6802, 7011, 4126, 4237, 4282, 4318, 4346, 1916,
+    2520, 4433, 2641, 4442, 4487, 2751, 4450, 4495, 4531, 2850, 4457, 4502,
+    4538, 4566, 2938, 1948, 1958, 1967, 1975, 1982, 80,   1658, 3363, 3583,
+    1724, 3408, 6212, 3628, 3803, 3848, 1790, 3444, 6248, 3664, 6368, 6696,
+    3884, 4023, 4068, 4104, 1856, 3472, 6276, 3692, 6396, 6724, 3912, 6480,
+    6808, 7017, 4132, 4243, 4288, 4324, 4352, 1922, 3493, 6297, 3713, 6417,
+    6745, 3933, 6501, 6829, 7038, 4153, 6557, 6885, 7094, 7219, 4373, 4463,
+    4508, 4544, 4572, 4593, 1988, 2531, 4653, 2652, 4662, 4707, 2762, 4670,
+    4715, 4751, 2861, 4677, 4722, 4758, 4786, 2949, 4683, 4728, 4764, 4792,
+    4813, 3026, 2014, 2024, 2033, 2041, 2048, 2054, 92,   1663, 3368, 3588,
+    1729, 3413, 6217, 3633, 3808, 3853, 1795, 3449, 6253, 3669, 6373, 6701,
+    3889, 4028, 4073, 4109, 1861, 3477, 6281, 3697, 6401, 6729, 3917, 6485,
+    6813, 7022, 4137, 4248, 4293, 4329, 4357, 1927, 3498, 6302, 3718, 6422,
+    6750, 3938, 6506, 6834, 7043, 4158, 6562, 6890, 7099, 7224, 4378, 4468,
+    4513, 4549, 4577, 4598, 1993, 3513, 6317, 3733, 6437, 6765, 3953, 6521,
+    6849, 7058, 4173, 6577, 6905, 7114, 7239, 4393, 6612, 6940, 7149, 7274,
+    7343, 4613, 4688, 4733, 4769, 4797, 4818, 4833, 2059, 2542, 4873, 2663,
+    4882, 4927, 2773, 4890, 4935, 4971, 2872, 4897, 4942, 4978, 5006, 2960,
+    4903, 4948, 4984, 5012, 5033, 3037, 4908, 4953, 4989, 5017, 5038, 5053,
+    3103, 2080, 2090, 2099, 2107, 2114, 2120, 2125, 104,  1667, 3372, 3592,
+    1733, 3417, 6221, 3637, 3812, 3857, 1799, 3453, 6257, 3673, 6377, 6705,
+    3893, 4032, 4077, 4113, 1865, 3481, 6285, 3701, 6405, 6733, 3921, 6489,
+    6817, 7026, 4141, 4252, 4297, 4333, 4361, 1931, 3502, 6306, 3722, 6426,
+    6754, 3942, 6510, 6838, 7047, 4162, 6566, 6894, 7103, 7228, 4382, 4472,
+    4517, 4553, 4581, 4602, 1997, 3517, 6321, 3737, 6441, 6769, 3957, 6525,
+    6853, 7062, 4177, 6581, 6909, 7118, 7243, 4397, 6616, 6944, 7153, 7278,
+    7347, 4617, 4692, 4737, 4773, 4801, 4822, 4837, 2063, 3527, 6331, 3747,
+    6451, 6779, 3967, 6535, 6863, 7072, 4187, 6591, 6919, 7128, 7253, 4407,
+    6626, 6954, 7163, 7288, 7357, 4627, 6646, 6974, 7183, 7308, 7377, 7411,
+    4847, 4912, 4957, 4993, 5021, 5042, 5057, 5067, 2129, 2553, 5093, 2674,
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+    65,   1649, 3354, 3574, 1715, 3399, 6203, 3619, 3794, 3839, 1781, 3435,
+    6239, 3655, 6359, 6687, 3875, 4014, 4059, 4095, 1847, 3463, 6267, 3683,
+    6387, 6715, 3903, 6471, 6799, 7008, 4123, 4234, 4279, 4315, 4343, 1913,
+    2517, 4430, 2638, 4439, 4484, 2748, 4447, 4492, 4528, 2847, 4454, 4499,
+    4535, 4563, 2935, 1945, 1955, 1964, 1972, 1979, 77,   1655, 3360, 3580,
+    1721, 3405, 6209, 3625, 3800, 3845, 1787, 3441, 6245, 3661, 6365, 6693,
+    3881, 4020, 4065, 4101, 1853, 3469, 6273, 3689, 6393, 6721, 3909, 6477,
+    6805, 7014, 4129, 4240, 4285, 4321, 4349, 1919, 3490, 6294, 3710, 6414,
+    6742, 3930, 6498, 6826, 7035, 4150, 6554, 6882, 7091, 1603, 4370, 4460,
+    4505, 4541, 4569, 4590, 1985, 2528, 4650, 2649, 4659, 4704, 2759, 4667,
+    4712, 4748, 2858, 4674, 4719, 4755, 4783, 2946, 4680, 4725, 4761, 4789,
+    4810, 3023, 2011, 2021, 2030, 2038, 2045, 2051, 89,   173,  2534, 2655,
+    185,  2535, 4866, 2656, 2765, 2766, 197,  2536, 4867, 2657, 4876, 4921,
+    2767, 2864, 2865, 2866, 209,  2537, 4868, 2658, 4877, 4922, 2768, 4885,
+    4930, 4966, 2867, 2952, 2953, 2954, 2955, 221,  2538, 4869, 2659, 4878,
+    4923, 2769, 4886, 4931, 4967, 2868, 4893, 4938, 4974, 5002, 2956, 3029,
+    3030, 3031, 3032, 3033, 233,  2539, 4870, 2660, 4879, 4924, 2770, 4887,
+    4932, 4968, 2869, 4894, 4939, 4975, 5003, 2957, 4900, 4945, 4981, 5009,
+    5030, 3034, 3095, 3096, 3097, 3098, 3099, 3100, 245,  251,  2072, 252,
+    2073, 2083, 253,  2074, 2084, 2093, 254,  2075, 2085, 2094, 2102, 255,
+    2076, 2086, 2095, 2103, 2110, 256,  2077, 2087, 2096, 2104, 2111, 2117,
+    257,  95,   96,   97,   98,   99,   100,  101,  18,   1616, 2474, 1682,
+    30,   1626, 3331, 3551, 1692, 2485, 3771, 2606, 1748, 1758, 42,   1635,
+    3340, 3560, 1701, 3385, 6189, 3605, 3780, 3825, 1767, 2496, 3991, 2617,
+    4000, 4045, 2727, 1814, 1824, 1833, 54,   1643, 3348, 3568, 1709, 3393,
+    6197, 3613, 3788, 3833, 1775, 3429, 6233, 3649, 6353, 6681, 3869, 4008,
+    4053, 4089, 1841, 2507, 4211, 2628, 4220, 4265, 2738, 4228, 4273, 4309,
+    2837, 1880, 1890, 1899, 1907, 66,   1650, 3355, 3575, 1716, 3400, 6204,
+    3620, 3795, 3840, 1782, 3436, 6240, 3656, 6360, 6688, 3876, 4015, 4060,
+    4096, 1848, 3464, 6268, 3684, 6388, 6716, 3904, 6472, 6800, 7009, 4124,
+    4235, 4280, 4316, 4344, 1914, 2518, 4431, 2639, 4440, 4485, 2749, 4448,
+    4493, 4529, 2848, 4455, 4500, 4536, 4564, 2936, 1946, 1956, 1965, 1973,
+    1980, 78,   1656, 3361, 3581, 1722, 3406, 6210, 3626, 3801, 3846, 1788,
+    3442, 6246, 3662, 6366, 6694, 3882, 4021, 4066, 4102, 1854, 3470, 6274,
+    3690, 6394, 6722, 3910, 6478, 6806, 7015, 4130, 4241, 4286, 4322, 4350,
+    1920, 3491, 6295, 3711, 6415, 6743, 3931, 6499, 6827, 7036, 4151, 6555,
+    6883, 7092, 7217, 4371, 4461, 4506, 4542, 4570, 4591, 1986, 2529, 4651,
+    2650, 4660, 4705, 2760, 4668, 4713, 4749, 2859, 4675, 4720, 4756, 4784,
+    2947, 4681, 4726, 4762, 4790, 4811, 3024, 2012, 2022, 2031, 2039, 2046,
+    2052, 90,   1661, 3366, 3586, 1727, 3411, 6215, 3631, 3806, 3851, 1793,
+    3447, 6251, 3667, 6371, 6699, 3887, 4026, 4071, 4107, 1859, 3475, 6279,
+    3695, 6399, 6727, 3915, 6483, 6811, 7020, 4135, 4246, 4291, 4327, 4355,
+    1925, 3496, 6300, 3716, 6420, 6748, 3936, 6504, 6832, 7041, 4156, 6560,
+    6888, 7097, 7222, 4376, 4466, 4511, 4547, 4575, 4596, 1991, 3511, 6315,
+    3731, 6435, 6763, 3951, 6519, 6847, 7056, 4171, 6575, 6903, 7112, 7237,
+    4391, 6610, 6938, 7147, 7272, 1604, 4611, 4686, 4731, 4767, 4795, 4816,
+    4831, 2057, 2540, 4871, 2661, 4880, 4925, 2771, 4888, 4933, 4969, 2870,
+    4895, 4940, 4976, 5004, 2958, 4901, 4946, 4982, 5010, 5031, 3035, 4906,
+    4951, 4987, 5015, 5036, 5051, 3101, 2078, 2088, 2097, 2105, 2112, 2118,
+    2123, 102,  174,  2545, 2666, 186,  2546, 5086, 2667, 2776, 2777, 198,
+    2547, 5087, 2668, 5096, 5141, 2778, 2875, 2876, 2877, 210,  2548, 5088,
+    2669, 5097, 5142, 2779, 5105, 5150, 5186, 2878, 2963, 2964, 2965, 2966,
+    222,  2549, 5089, 2670, 5098, 5143, 2780, 5106, 5151, 5187, 2879, 5113,
+    5158, 5194, 5222, 2967, 3040, 3041, 3042, 3043, 3044, 234,  2550, 5090,
+    2671, 5099, 5144, 2781, 5107, 5152, 5188, 2880, 5114, 5159, 5195, 5223,
+    2968, 5120, 5165, 5201, 5229, 5250, 3045, 3106, 3107, 3108, 3109, 3110,
+    3111, 246,  2551, 5091, 2672, 5100, 5145, 2782, 5108, 5153, 5189, 2881,
+    5115, 5160, 5196, 5224, 2969, 5121, 5166, 5202, 5230, 5251, 3046, 5126,
+    5171, 5207, 5235, 5256, 5271, 3112, 3161, 3162, 3163, 3164, 3165, 3166,
+    3167, 258,  263,  2138, 264,  2139, 2149, 265,  2140, 2150, 2159, 266,
+    2141, 2151, 2160, 2168, 267,  2142, 2152, 2161, 2169, 2176, 268,  2143,
+    2153, 2162, 2170, 2177, 2183, 269,  2144, 2154, 2163, 2171, 2178, 2184,
+    2189, 270,  107,  108,  109,  110,  111,  112,  113,  114,  19,   1617,
+    2475, 1683, 31,   1627, 3332, 3552, 1693, 2486, 3772, 2607, 1749, 1759,
+    43,   1636, 3341, 3561, 1702, 3386, 6190, 3606, 3781, 3826, 1768, 2497,
+    3992, 2618, 4001, 4046, 2728, 1815, 1825, 1834, 55,   1644, 3349, 3569,
+    1710, 3394, 6198, 3614, 3789, 3834, 1776, 3430, 6234, 3650, 6354, 6682,
+    3870, 4009, 4054, 4090, 1842, 2508, 4212, 2629, 4221, 4266, 2739, 4229,
+    4274, 4310, 2838, 1881, 1891, 1900, 1908, 67,   1651, 3356, 3576, 1717,
+    3401, 6205, 3621, 3796, 3841, 1783, 3437, 6241, 3657, 6361, 6689, 3877,
+    4016, 4061, 4097, 1849, 3465, 6269, 3685, 6389, 6717, 3905, 6473, 6801,
+    7010, 4125, 4236, 4281, 4317, 4345, 1915, 2519, 4432, 2640, 4441, 4486,
+    2750, 4449, 4494, 4530, 2849, 4456, 4501, 4537, 4565, 2937, 1947, 1957,
+    1966, 1974, 1981, 79,   1657, 3362, 3582, 1723, 3407, 6211, 3627, 3802,
+    3847, 1789, 3443, 6247, 3663, 6367, 6695, 3883, 4022, 4067, 4103, 1855,
+    3471, 6275, 3691, 6395, 6723, 3911, 6479, 6807, 7016, 4131, 4242, 4287,
+    4323, 4351, 1921, 3492, 6296, 3712, 6416, 6744, 3932, 6500, 6828, 7037,
+    4152, 6556, 6884, 7093, 7218, 4372, 4462, 4507, 4543, 4571, 4592, 1987,
+    2530, 4652, 2651, 4661, 4706, 2761, 4669, 4714, 4750, 2860, 4676, 4721,
+    4757, 4785, 2948, 4682, 4727, 4763, 4791, 4812, 3025, 2013, 2023, 2032,
+    2040, 2047, 2053, 91,   1662, 3367, 3587, 1728, 3412, 6216, 3632, 3807,
+    3852, 1794, 3448, 6252, 3668, 6372, 6700, 3888, 4027, 4072, 4108, 1860,
+    3476, 6280, 3696, 6400, 6728, 3916, 6484, 6812, 7021, 4136, 4247, 4292,
+    4328, 4356, 1926, 3497, 6301, 3717, 6421, 6749, 3937, 6505, 6833, 7042,
+    4157, 6561, 6889, 7098, 7223, 4377, 4467, 4512, 4548, 4576, 4597, 1992,
+    3512, 6316, 3732, 6436, 6764, 3952, 6520, 6848, 7057, 4172, 6576, 6904,
+    7113, 7238, 4392, 6611, 6939, 7148, 7273, 7342, 4612, 4687, 4732, 4768,
+    4796, 4817, 4832, 2058, 2541, 4872, 2662, 4881, 4926, 2772, 4889, 4934,
+    4970, 2871, 4896, 4941, 4977, 5005, 2959, 4902, 4947, 4983, 5011, 5032,
+    3036, 4907, 4952, 4988, 5016, 5037, 5052, 3102, 2079, 2089, 2098, 2106,
+    2113, 2119, 2124, 103,  1666, 3371, 3591, 1732, 3416, 6220, 3636, 3811,
+    3856, 1798, 3452, 6256, 3672, 6376, 6704, 3892, 4031, 4076, 4112, 1864,
+    3480, 6284, 3700, 6404, 6732, 3920, 6488, 6816, 7025, 4140, 4251, 4296,
+    4332, 4360, 1930, 3501, 6305, 3721, 6425, 6753, 3941, 6509, 6837, 7046,
+    4161, 6565, 6893, 7102, 7227, 4381, 4471, 4516, 4552, 4580, 4601, 1996,
+    3516, 6320, 3736, 6440, 6768, 3956, 6524, 6852, 7061, 4176, 6580, 6908,
+    7117, 7242, 4396, 6615, 6943, 7152, 7277, 7346, 4616, 4691, 4736, 4772,
+    4800, 4821, 4836, 2062, 3526, 6330, 3746, 6450, 6778, 3966, 6534, 6862,
+    7071, 4186, 6590, 6918, 7127, 7252, 4406, 6625, 6953, 7162, 7287, 7356,
+    4626, 6645, 6973, 7182, 7307, 7376, 1605, 4846, 4911, 4956, 4992, 5020,
+    5041, 5056, 5066, 2128, 2552, 5092, 2673, 5101, 5146, 2783, 5109, 5154,
+    5190, 2882, 5116, 5161, 5197, 5225, 2970, 5122, 5167, 5203, 5231, 5252,
+    3047, 5127, 5172, 5208, 5236, 5257, 5272, 3113, 5131, 5176, 5212, 5240,
+    5261, 5276, 5286, 3168, 2145, 2155, 2164, 2172, 2179, 2185, 2190, 2194,
+    115,  175,  2556, 2677, 187,  2557, 5306, 2678, 2787, 2788, 199,  2558,
+    5307, 2679, 5316, 5361, 2789, 2886, 2887, 2888, 211,  2559, 5308, 2680,
+    5317, 5362, 2790, 5325, 5370, 5406, 2889, 2974, 2975, 2976, 2977, 223,
+    2560, 5309, 2681, 5318, 5363, 2791, 5326, 5371, 5407, 2890, 5333, 5378,
+    5414, 5442, 2978, 3051, 3052, 3053, 3054, 3055, 235,  2561, 5310, 2682,
+    5319, 5364, 2792, 5327, 5372, 5408, 2891, 5334, 5379, 5415, 5443, 2979,
+    5340, 5385, 5421, 5449, 5470, 3056, 3117, 3118, 3119, 3120, 3121, 3122,
+    247,  2562, 5311, 2683, 5320, 5365, 2793, 5328, 5373, 5409, 2892, 5335,
+    5380, 5416, 5444, 2980, 5341, 5386, 5422, 5450, 5471, 3057, 5346, 5391,
+    5427, 5455, 5476, 5491, 3123, 3172, 3173, 3174, 3175, 3176, 3177, 3178,
+    259,  2563, 5312, 2684, 5321, 5366, 2794, 5329, 5374, 5410, 2893, 5336,
+    5381, 5417, 5445, 2981, 5342, 5387, 5423, 5451, 5472, 3058, 5347, 5392,
+    5428, 5456, 5477, 5492, 3124, 5351, 5396, 5432, 5460, 5481, 5496, 5506,
+    3179, 3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 271,  275,  2204,
+    276,  2205, 2215, 277,  2206, 2216, 2225, 278,  2207, 2217, 2226, 2234,
+    279,  2208, 2218, 2227, 2235, 2242, 280,  2209, 2219, 2228, 2236, 2243,
+    2249, 281,  2210, 2220, 2229, 2237, 2244, 2250, 2255, 282,  2211, 2221,
+    2230, 2238, 2245, 2251, 2256, 2260, 283,  119,  120,  121,  122,  123,
+    124,  125,  126,  127,  20,   1618, 2476, 1684, 32,   1628, 3333, 3553,
+    1694, 2487, 3773, 2608, 1750, 1760, 44,   1637, 3342, 3562, 1703, 3387,
+    6191, 3607, 3782, 3827, 1769, 2498, 3993, 2619, 4002, 4047, 2729, 1816,
+    1826, 1835, 56,   1645, 3350, 3570, 1711, 3395, 6199, 3615, 3790, 3835,
+    1777, 3431, 6235, 3651, 6355, 6683, 3871, 4010, 4055, 4091, 1843, 2509,
+    4213, 2630, 4222, 4267, 2740, 4230, 4275, 4311, 2839, 1882, 1892, 1901,
+    1909, 68,   1652, 3357, 3577, 1718, 3402, 6206, 3622, 3797, 3842, 1784,
+    3438, 6242, 3658, 6362, 6690, 3878, 4017, 4062, 4098, 1850, 3466, 6270,
+    3686, 6390, 6718, 3906, 6474, 6802, 7011, 4126, 4237, 4282, 4318, 4346,
+    1916, 2520, 4433, 2641, 4442, 4487, 2751, 4450, 4495, 4531, 2850, 4457,
+    4502, 4538, 4566, 2938, 1948, 1958, 1967, 1975, 1982, 80,   1658, 3363,
+    3583, 1724, 3408, 6212, 3628, 3803, 3848, 1790, 3444, 6248, 3664, 6368,
+    6696, 3884, 4023, 4068, 4104, 1856, 3472, 6276, 3692, 6396, 6724, 3912,
+    6480, 6808, 7017, 4132, 4243, 4288, 4324, 4352, 1922, 3493, 6297, 3713,
+    6417, 6745, 3933, 6501, 6829, 7038, 4153, 6557, 6885, 7094, 7219, 4373,
+    4463, 4508, 4544, 4572, 4593, 1988, 2531, 4653, 2652, 4662, 4707, 2762,
+    4670, 4715, 4751, 2861, 4677, 4722, 4758, 4786, 2949, 4683, 4728, 4764,
+    4792, 4813, 3026, 2014, 2024, 2033, 2041, 2048, 2054, 92,   1663, 3368,
+    3588, 1729, 3413, 6217, 3633, 3808, 3853, 1795, 3449, 6253, 3669, 6373,
+    6701, 3889, 4028, 4073, 4109, 1861, 3477, 6281, 3697, 6401, 6729, 3917,
+    6485, 6813, 7022, 4137, 4248, 4293, 4329, 4357, 1927, 3498, 6302, 3718,
+    6422, 6750, 3938, 6506, 6834, 7043, 4158, 6562, 6890, 7099, 7224, 4378,
+    4468, 4513, 4549, 4577, 4598, 1993, 3513, 6317, 3733, 6437, 6765, 3953,
+    6521, 6849, 7058, 4173, 6577, 6905, 7114, 7239, 4393, 6612, 6940, 7149,
+    7274, 7343, 4613, 4688, 4733, 4769, 4797, 4818, 4833, 2059, 2542, 4873,
+    2663, 4882, 4927, 2773, 4890, 4935, 4971, 2872, 4897, 4942, 4978, 5006,
+    2960, 4903, 4948, 4984, 5012, 5033, 3037, 4908, 4953, 4989, 5017, 5038,
+    5053, 3103, 2080, 2090, 2099, 2107, 2114, 2120, 2125, 104,  1667, 3372,
+    3592, 1733, 3417, 6221, 3637, 3812, 3857, 1799, 3453, 6257, 3673, 6377,
+    6705, 3893, 4032, 4077, 4113, 1865, 3481, 6285, 3701, 6405, 6733, 3921,
+    6489, 6817, 7026, 4141, 4252, 4297, 4333, 4361, 1931, 3502, 6306, 3722,
+    6426, 6754, 3942, 6510, 6838, 7047, 4162, 6566, 6894, 7103, 7228, 4382,
+    4472, 4517, 4553, 4581, 4602, 1997, 3517, 6321, 3737, 6441, 6769, 3957,
+    6525, 6853, 7062, 4177, 6581, 6909, 7118, 7243, 4397, 6616, 6944, 7153,
+    7278, 7347, 4617, 4692, 4737, 4773, 4801, 4822, 4837, 2063, 3527, 6331,
+    3747, 6451, 6779, 3967, 6535, 6863, 7072, 4187, 6591, 6919, 7128, 7253,
+    4407, 6626, 6954, 7163, 7288, 7357, 4627, 6646, 6974, 7183, 7308, 7377,
+    7411, 4847, 4912, 4957, 4993, 5021, 5042, 5057, 5067, 2129, 2553, 5093,
+    2674, 5102, 5147, 2784, 5110, 5155, 5191, 2883, 5117, 5162, 5198, 5226,
+    2971, 5123, 5168, 5204, 5232, 5253, 3048, 5128, 5173, 5209, 5237, 5258,
+    5273, 3114, 5132, 5177, 5213, 5241, 5262, 5277, 5287, 3169, 2146, 2156,
+    2165, 2173, 2180, 2186, 2191, 2195, 116,  1670, 3375, 3595, 1736, 3420,
+    6224, 3640, 3815, 3860, 1802, 3456, 6260, 3676, 6380, 6708, 3896, 4035,
+    4080, 4116, 1868, 3484, 6288, 3704, 6408, 6736, 3924, 6492, 6820, 7029,
+    4144, 4255, 4300, 4336, 4364, 1934, 3505, 6309, 3725, 6429, 6757, 3945,
+    6513, 6841, 7050, 4165, 6569, 6897, 7106, 7231, 4385, 4475, 4520, 4556,
+    4584, 4605, 2000, 3520, 6324, 3740, 6444, 6772, 3960, 6528, 6856, 7065,
+    4180, 6584, 6912, 7121, 7246, 4400, 6619, 6947, 7156, 7281, 7350, 4620,
+    4695, 4740, 4776, 4804, 4825, 4840, 2066, 3530, 6334, 3750, 6454, 6782,
+    3970, 6538, 6866, 7075, 4190, 6594, 6922, 7131, 7256, 4410, 6629, 6957,
+    7166, 7291, 7360, 4630, 6649, 6977, 7186, 7311, 7380, 7414, 4850, 4915,
+    4960, 4996, 5024, 5045, 5060, 5070, 2132, 3536, 6340, 3756, 6460, 6788,
+    3976, 6544, 6872, 7081, 4196, 6600, 6928, 7137, 7262, 4416, 6635, 6963,
+    7172, 7297, 7366, 4636, 6655, 6983, 7192, 7317, 7386, 7420, 4856, 6665,
+    6993, 7202, 7327, 7396, 7430, 1606, 5076, 5135, 5180, 5216, 5244, 5265,
+    5280, 5290, 5296, 2198, 2564, 5313, 2685, 5322, 5367, 2795, 5330, 5375,
+    5411, 2894, 5337, 5382, 5418, 5446, 2982, 5343, 5388, 5424, 5452, 5473,
+    3059, 5348, 5393, 5429, 5457, 5478, 5493, 3125, 5352, 5397, 5433, 5461,
+    5482, 5497, 5507, 3180, 5355, 5400, 5436, 5464, 5485, 5500, 5510, 5516,
+    3224, 2212, 2222, 2231, 2239, 2246, 2252, 2257, 2261, 2264, 128,  176,
+    2567, 2688, 188,  2568, 5526, 2689, 2798, 2799, 200,  2569, 5527, 2690,
+    5536, 5581, 2800, 2897, 2898, 2899, 212,  2570, 5528, 2691, 5537, 5582,
+    2801, 5545, 5590, 5626, 2900, 2985, 2986, 2987, 2988, 224,  2571, 5529,
+    2692, 5538, 5583, 2802, 5546, 5591, 5627, 2901, 5553, 5598, 5634, 5662,
+    2989, 3062, 3063, 3064, 3065, 3066, 236,  2572, 5530, 2693, 5539, 5584,
+    2803, 5547, 5592, 5628, 2902, 5554, 5599, 5635, 5663, 2990, 5560, 5605,
+    5641, 5669, 5690, 3067, 3128, 3129, 3130, 3131, 3132, 3133, 248,  2573,
+    5531, 2694, 5540, 5585, 2804, 5548, 5593, 5629, 2903, 5555, 5600, 5636,
+    5664, 2991, 5561, 5606, 5642, 5670, 5691, 3068, 5566, 5611, 5647, 5675,
+    5696, 5711, 3134, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 260,  2574,
+    5532, 2695, 5541, 5586, 2805, 5549, 5594, 5630, 2904, 5556, 5601, 5637,
+    5665, 2992, 5562, 5607, 5643, 5671, 5692, 3069, 5567, 5612, 5648, 5676,
+    5697, 5712, 3135, 5571, 5616, 5652, 5680, 5701, 5716, 5726, 3190, 3227,
+    3228, 3229, 3230, 3231, 3232, 3233, 3234, 272,  2575, 5533, 2696, 5542,
+    5587, 2806, 5550, 5595, 5631, 2905, 5557, 5602, 5638, 5666, 2993, 5563,
+    5608, 5644, 5672, 5693, 3070, 5568, 5613, 5649, 5677, 5698, 5713, 3136,
+    5572, 5617, 5653, 5681, 5702, 5717, 5727, 3191, 5575, 5620, 5656, 5684,
+    5705, 5720, 5730, 5736, 3235, 3260, 3261, 3262, 3263, 3264, 3265, 3266,
+    3267, 3268, 284,  287,  2270, 288,  2271, 2281, 289,  2272, 2282, 2291,
+    290,  2273, 2283, 2292, 2300, 291,  2274, 2284, 2293, 2301, 2308, 292,
+    2275, 2285, 2294, 2302, 2309, 2315, 293,  2276, 2286, 2295, 2303, 2310,
+    2316, 2321, 294,  2277, 2287, 2296, 2304, 2311, 2317, 2322, 2326, 295,
+    2278, 2288, 2297, 2305, 2312, 2318, 2323, 2327, 2330, 296,  131,  132,
+    133,  134,  135,  136,  137,  138,  139,  140,  21,   1619, 2477, 1685,
+    33,   1629, 3334, 3554, 1695, 2488, 3774, 2609, 1751, 1761, 45,   1638,
+    3343, 3563, 1704, 3388, 6192, 3608, 3783, 3828, 1770, 2499, 3994, 2620,
+    4003, 4048, 2730, 1817, 1827, 1836, 57,   1646, 3351, 3571, 1712, 3396,
+    6200, 3616, 3791, 3836, 1778, 3432, 6236, 3652, 6356, 6684, 3872, 4011,
+    4056, 4092, 1844, 2510, 4214, 2631, 4223, 4268, 2741, 4231, 4276, 4312,
+    2840, 1883, 1893, 1902, 1910, 69,   1653, 3358, 3578, 1719, 3403, 6207,
+    3623, 3798, 3843, 1785, 3439, 6243, 3659, 6363, 6691, 3879, 4018, 4063,
+    4099, 1851, 3467, 6271, 3687, 6391, 6719, 3907, 6475, 6803, 7012, 4127,
+    4238, 4283, 4319, 4347, 1917, 2521, 4434, 2642, 4443, 4488, 2752, 4451,
+    4496, 4532, 2851, 4458, 4503, 4539, 4567, 2939, 1949, 1959, 1968, 1976,
+    1983, 81,   1659, 3364, 3584, 1725, 3409, 6213, 3629, 3804, 3849, 1791,
+    3445, 6249, 3665, 6369, 6697, 3885, 4024, 4069, 4105, 1857, 3473, 6277,
+    3693, 6397, 6725, 3913, 6481, 6809, 7018, 4133, 4244, 4289, 4325, 4353,
+    1923, 3494, 6298, 3714, 6418, 6746, 3934, 6502, 6830, 7039, 4154, 6558,
+    6886, 7095, 7220, 4374, 4464, 4509, 4545, 4573, 4594, 1989, 2532, 4654,
+    2653, 4663, 4708, 2763, 4671, 4716, 4752, 2862, 4678, 4723, 4759, 4787,
+    2950, 4684, 4729, 4765, 4793, 4814, 3027, 2015, 2025, 2034, 2042, 2049,
+    2055, 93,   1664, 3369, 3589, 1730, 3414, 6218, 3634, 3809, 3854, 1796,
+    3450, 6254, 3670, 6374, 6702, 3890, 4029, 4074, 4110, 1862, 3478, 6282,
+    3698, 6402, 6730, 3918, 6486, 6814, 7023, 4138, 4249, 4294, 4330, 4358,
+    1928, 3499, 6303, 3719, 6423, 6751, 3939, 6507, 6835, 7044, 4159, 6563,
+    6891, 7100, 7225, 4379, 4469, 4514, 4550, 4578, 4599, 1994, 3514, 6318,
+    3734, 6438, 6766, 3954, 6522, 6850, 7059, 4174, 6578, 6906, 7115, 7240,
+    4394, 6613, 6941, 7150, 7275, 7344, 4614, 4689, 4734, 4770, 4798, 4819,
+    4834, 2060, 2543, 4874, 2664, 4883, 4928, 2774, 4891, 4936, 4972, 2873,
+    4898, 4943, 4979, 5007, 2961, 4904, 4949, 4985, 5013, 5034, 3038, 4909,
+    4954, 4990, 5018, 5039, 5054, 3104, 2081, 2091, 2100, 2108, 2115, 2121,
+    2126, 105,  1668, 3373, 3593, 1734, 3418, 6222, 3638, 3813, 3858, 1800,
+    3454, 6258, 3674, 6378, 6706, 3894, 4033, 4078, 4114, 1866, 3482, 6286,
+    3702, 6406, 6734, 3922, 6490, 6818, 7027, 4142, 4253, 4298, 4334, 4362,
+    1932, 3503, 6307, 3723, 6427, 6755, 3943, 6511, 6839, 7048, 4163, 6567,
+    6895, 7104, 7229, 4383, 4473, 4518, 4554, 4582, 4603, 1998, 3518, 6322,
+    3738, 6442, 6770, 3958, 6526, 6854, 7063, 4178, 6582, 6910, 7119, 7244,
+    4398, 6617, 6945, 7154, 7279, 7348, 4618, 4693, 4738, 4774, 4802, 4823,
+    4838, 2064, 3528, 6332, 3748, 6452, 6780, 3968, 6536, 6864, 7073, 4188,
+    6592, 6920, 7129, 7254, 4408, 6627, 6955, 7164, 7289, 7358, 4628, 6647,
+    6975, 7184, 7309, 7378, 7412, 4848, 4913, 4958, 4994, 5022, 5043, 5058,
+    5068, 2130, 2554, 5094, 2675, 5103, 5148, 2785, 5111, 5156, 5192, 2884,
+    5118, 5163, 5199, 5227, 2972, 5124, 5169, 5205, 5233, 5254, 3049, 5129,
+    5174, 5210, 5238, 5259, 5274, 3115, 5133, 5178, 5214, 5242, 5263, 5278,
+    5288, 3170, 2147, 2157, 2166, 2174, 2181, 2187, 2192, 2196, 117,  1671,
+    3376, 3596, 1737, 3421, 6225, 3641, 3816, 3861, 1803, 3457, 6261, 3677,
+    6381, 6709, 3897, 4036, 4081, 4117, 1869, 3485, 6289, 3705, 6409, 6737,
+    3925, 6493, 6821, 7030, 4145, 4256, 4301, 4337, 4365, 1935, 3506, 6310,
+    3726, 6430, 6758, 3946, 6514, 6842, 7051, 4166, 6570, 6898, 7107, 7232,
+    4386, 4476, 4521, 4557, 4585, 4606, 2001, 3521, 6325, 3741, 6445, 6773,
+    3961, 6529, 6857, 7066, 4181, 6585, 6913, 7122, 7247, 4401, 6620, 6948,
+    7157, 7282, 7351, 4621, 4696, 4741, 4777, 4805, 4826, 4841, 2067, 3531,
+    6335, 3751, 6455, 6783, 3971, 6539, 6867, 7076, 4191, 6595, 6923, 7132,
+    7257, 4411, 6630, 6958, 7167, 7292, 7361, 4631, 6650, 6978, 7187, 7312,
+    7381, 7415, 4851, 4916, 4961, 4997, 5025, 5046, 5061, 5071, 2133, 3537,
+    6341, 3757, 6461, 6789, 3977, 6545, 6873, 7082, 4197, 6601, 6929, 7138,
+    7263, 4417, 6636, 6964, 7173, 7298, 7367, 4637, 6656, 6984, 7193, 7318,
+    7387, 7421, 4857, 6666, 6994, 7203, 7328, 7397, 7431, 7445, 5077, 5136,
+    5181, 5217, 5245, 5266, 5281, 5291, 5297, 2199, 2565, 5314, 2686, 5323,
+    5368, 2796, 5331, 5376, 5412, 2895, 5338, 5383, 5419, 5447, 2983, 5344,
+    5389, 5425, 5453, 5474, 3060, 5349, 5394, 5430, 5458, 5479, 5494, 3126,
+    5353, 5398, 5434, 5462, 5483, 5498, 5508, 3181, 5356, 5401, 5437, 5465,
+    5486, 5501, 5511, 5517, 3225, 2213, 2223, 2232, 2240, 2247, 2253, 2258,
+    2262, 2265, 129,  1673, 3378, 3598, 1739, 3423, 6227, 3643, 3818, 3863,
+    1805, 3459, 6263, 3679, 6383, 6711, 3899, 4038, 4083, 4119, 1871, 3487,
+    6291, 3707, 6411, 6739, 3927, 6495, 6823, 7032, 4147, 4258, 4303, 4339,
+    4367, 1937, 3508, 6312, 3728, 6432, 6760, 3948, 6516, 6844, 7053, 4168,
+    6572, 6900, 7109, 7234, 4388, 4478, 4523, 4559, 4587, 4608, 2003, 3523,
+    6327, 3743, 6447, 6775, 3963, 6531, 6859, 7068, 4183, 6587, 6915, 7124,
+    7249, 4403, 6622, 6950, 7159, 7284, 7353, 4623, 4698, 4743, 4779, 4807,
+    4828, 4843, 2069, 3533, 6337, 3753, 6457, 6785, 3973, 6541, 6869, 7078,
+    4193, 6597, 6925, 7134, 7259, 4413, 6632, 6960, 7169, 7294, 7363, 4633,
+    6652, 6980, 7189, 7314, 7383, 7417, 4853, 4918, 4963, 4999, 5027, 5048,
+    5063, 5073, 2135, 3539, 6343, 3759, 6463, 6791, 3979, 6547, 6875, 7084,
+    4199, 6603, 6931, 7140, 7265, 4419, 6638, 6966, 7175, 7300, 7369, 4639,
+    6658, 6986, 7195, 7320, 7389, 7423, 4859, 6668, 6996, 7205, 7330, 7399,
+    7433, 7447, 5079, 5138, 5183, 5219, 5247, 5268, 5283, 5293, 5299, 2201,
+    1609, 1609, 3762, 1609, 6794, 3982, 1609, 6878, 7087, 4202, 1609, 6934,
+    7143, 7268, 4422, 1609, 6969, 7178, 7303, 7372, 4642, 1609, 6989, 7198,
+    7323, 7392, 7426, 4862, 1609, 6999, 7208, 7333, 7402, 7436, 7450, 5082,
+    1608, 1608, 1608, 1608, 1608, 1608, 1608, 1607, 1608, 1609, 5403, 5439,
+    5467, 5488, 5503, 5513, 5519, 1608, 2267, 2576, 5534, 2697, 5543, 5588,
+    2807, 5551, 5596, 5632, 2906, 5558, 5603, 5639, 5667, 2994, 5564, 5609,
+    5645, 5673, 5694, 3071, 5569, 5614, 5650, 5678, 5699, 5714, 3137, 5573,
+    5618, 5654, 5682, 5703, 5718, 5728, 3192, 5576, 5621, 5657, 5685, 5706,
+    5721, 5731, 5737, 3236, 1609, 5623, 5659, 5687, 5708, 5723, 5733, 5739,
+    1608, 3269, 2279, 2289, 2298, 2306, 2313, 2319, 2324, 2328, 2331, 2333,
+    141,  177,  2578, 2699, 189,  2579, 5746, 2700, 2809, 2810, 201,  2580,
+    5747, 2701, 5756, 5801, 2811, 2908, 2909, 2910, 213,  2581, 5748, 2702,
+    5757, 5802, 2812, 5765, 5810, 5846, 2911, 2996, 2997, 2998, 2999, 225,
+    2582, 5749, 2703, 5758, 5803, 2813, 5766, 5811, 5847, 2912, 5773, 5818,
+    5854, 5882, 3000, 3073, 3074, 3075, 3076, 3077, 237,  2583, 5750, 2704,
+    5759, 5804, 2814, 5767, 5812, 5848, 2913, 5774, 5819, 5855, 5883, 3001,
+    5780, 5825, 5861, 5889, 5910, 3078, 3139, 3140, 3141, 3142, 3143, 3144,
+    249,  2584, 5751, 2705, 5760, 5805, 2815, 5768, 5813, 5849, 2914, 5775,
+    5820, 5856, 5884, 3002, 5781, 5826, 5862, 5890, 5911, 3079, 5786, 5831,
+    5867, 5895, 5916, 5931, 3145, 3194, 3195, 3196, 3197, 3198, 3199, 3200,
+    261,  2585, 5752, 2706, 5761, 5806, 2816, 5769, 5814, 5850, 2915, 5776,
+    5821, 5857, 5885, 3003, 5782, 5827, 5863, 5891, 5912, 3080, 5787, 5832,
+    5868, 5896, 5917, 5932, 3146, 5791, 5836, 5872, 5900, 5921, 5936, 5946,
+    3201, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 273,  2586, 5753,
+    2707, 5762, 5807, 2817, 5770, 5815, 5851, 2916, 5777, 5822, 5858, 5886,
+    3004, 5783, 5828, 5864, 5892, 5913, 3081, 5788, 5833, 5869, 5897, 5918,
+    5933, 3147, 5792, 5837, 5873, 5901, 5922, 5937, 5947, 3202, 5795, 5840,
+    5876, 5904, 5925, 5940, 5950, 5956, 3246, 3271, 3272, 3273, 3274, 3275,
+    3276, 3277, 3278, 3279, 285,  2587, 5754, 2708, 5763, 5808, 2818, 5771,
+    5816, 5852, 2917, 5778, 5823, 5859, 5887, 3005, 5784, 5829, 5865, 5893,
+    5914, 3082, 5789, 5834, 5870, 5898, 5919, 5934, 3148, 5793, 5838, 5874,
+    5902, 5923, 5938, 5948, 3203, 5796, 5841, 5877, 5905, 5926, 5941, 5951,
+    5957, 3247, 1609, 5843, 5879, 5907, 5928, 5943, 5953, 5959, 1608, 3280,
+    3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 297,  299,
+    2336, 300,  2337, 2347, 301,  2338, 2348, 2357, 302,  2339, 2349, 2358,
+    2366, 303,  2340, 2350, 2359, 2367, 2374, 304,  2341, 2351, 2360, 2368,
+    2375, 2381, 305,  2342, 2352, 2361, 2369, 2376, 2382, 2387, 306,  2343,
+    2353, 2362, 2370, 2377, 2383, 2388, 2392, 307,  2344, 2354, 2363, 2371,
+    2378, 2384, 2389, 2393, 2396, 308,  2345, 2355, 2364, 2372, 2379, 2385,
+    2390, 2394, 2397, 2399, 309,  143,  144,  145,  146,  147,  148,  149,
+    150,  151,  152,  153,  22,   178,  2478, 190,  34,   178,  2589, 2710,
+    190,  2489, 2820, 2610, 202,  202,  46,   178,  2589, 2710, 190,  2590,
+    5966, 2711, 2820, 2821, 202,  2500, 2919, 2621, 2919, 2920, 2731, 214,
+    214,  214,  58,   178,  2589, 2710, 190,  2590, 5966, 2711, 2820, 2821,
+    202,  2591, 5967, 2712, 5976, 6021, 2822, 2919, 2920, 2921, 214,  2511,
+    3007, 2632, 3007, 3008, 2742, 3007, 3008, 3009, 2841, 226,  226,  226,
+    226,  70,   178,  2589, 2710, 190,  2590, 5966, 2711, 2820, 2821, 202,
+    2591, 5967, 2712, 5976, 6021, 2822, 2919, 2920, 2921, 214,  2592, 5968,
+    2713, 5977, 6022, 2823, 5985, 6030, 6066, 2922, 3007, 3008, 3009, 3010,
+    226,  2522, 3084, 2643, 3084, 3085, 2753, 3084, 3085, 3086, 2852, 3084,
+    3085, 3086, 3087, 2940, 238,  238,  238,  238,  238,  82,   178,  2589,
+    2710, 190,  2590, 5966, 2711, 2820, 2821, 202,  2591, 5967, 2712, 5976,
+    6021, 2822, 2919, 2920, 2921, 214,  2592, 5968, 2713, 5977, 6022, 2823,
+    5985, 6030, 6066, 2922, 3007, 3008, 3009, 3010, 226,  2593, 5969, 2714,
+    5978, 6023, 2824, 5986, 6031, 6067, 2923, 5993, 6038, 6074, 6102, 3011,
+    3084, 3085, 3086, 3087, 3088, 238,  2533, 3150, 2654, 3150, 3151, 2764,
+    3150, 3151, 3152, 2863, 3150, 3151, 3152, 3153, 2951, 3150, 3151, 3152,
+    3153, 3154, 3028, 250,  250,  250,  250,  250,  250,  94,   178,  2589,
+    2710, 190,  2590, 5966, 2711, 2820, 2821, 202,  2591, 5967, 2712, 5976,
+    6021, 2822, 2919, 2920, 2921, 214,  2592, 5968, 2713, 5977, 6022, 2823,
+    5985, 6030, 6066, 2922, 3007, 3008, 3009, 3010, 226,  2593, 5969, 2714,
+    5978, 6023, 2824, 5986, 6031, 6067, 2923, 5993, 6038, 6074, 6102, 3011,
+    3084, 3085, 3086, 3087, 3088, 238,  2594, 5970, 2715, 5979, 6024, 2825,
+    5987, 6032, 6068, 2924, 5994, 6039, 6075, 6103, 3012, 6000, 6045, 6081,
+    6109, 6130, 3089, 3150, 3151, 3152, 3153, 3154, 3155, 250,  2544, 3205,
+    2665, 3205, 3206, 2775, 3205, 3206, 3207, 2874, 3205, 3206, 3207, 3208,
+    2962, 3205, 3206, 3207, 3208, 3209, 3039, 3205, 3206, 3207, 3208, 3209,
+    3210, 3105, 262,  262,  262,  262,  262,  262,  262,  106,  178,  2589,
+    2710, 190,  2590, 5966, 2711, 2820, 2821, 202,  2591, 5967, 2712, 5976,
+    6021, 2822, 2919, 2920, 2921, 214,  2592, 5968, 2713, 5977, 6022, 2823,
+    5985, 6030, 6066, 2922, 3007, 3008, 3009, 3010, 226,  2593, 5969, 2714,
+    5978, 6023, 2824, 5986, 6031, 6067, 2923, 5993, 6038, 6074, 6102, 3011,
+    3084, 3085, 3086, 3087, 3088, 238,  2594, 5970, 2715, 5979, 6024, 2825,
+    5987, 6032, 6068, 2924, 5994, 6039, 6075, 6103, 3012, 6000, 6045, 6081,
+    6109, 6130, 3089, 3150, 3151, 3152, 3153, 3154, 3155, 250,  2595, 5971,
+    2716, 5980, 6025, 2826, 5988, 6033, 6069, 2925, 5995, 6040, 6076, 6104,
+    3013, 6001, 6046, 6082, 6110, 6131, 3090, 6006, 6051, 6087, 6115, 6136,
+    6151, 3156, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 262,  2555, 3249,
+    2676, 3249, 3250, 2786, 3249, 3250, 3251, 2885, 3249, 3250, 3251, 3252,
+    2973, 3249, 3250, 3251, 3252, 3253, 3050, 3249, 3250, 3251, 3252, 3253,
+    3254, 3116, 3249, 3250, 3251, 3252, 3253, 3254, 3255, 3171, 274,  274,
+    274,  274,  274,  274,  274,  274,  118,  178,  2589, 2710, 190,  2590,
+    5966, 2711, 2820, 2821, 202,  2591, 5967, 2712, 5976, 6021, 2822, 2919,
+    2920, 2921, 214,  2592, 5968, 2713, 5977, 6022, 2823, 5985, 6030, 6066,
+    2922, 3007, 3008, 3009, 3010, 226,  2593, 5969, 2714, 5978, 6023, 2824,
+    5986, 6031, 6067, 2923, 5993, 6038, 6074, 6102, 3011, 3084, 3085, 3086,
+    3087, 3088, 238,  2594, 5970, 2715, 5979, 6024, 2825, 5987, 6032, 6068,
+    2924, 5994, 6039, 6075, 6103, 3012, 6000, 6045, 6081, 6109, 6130, 3089,
+    3150, 3151, 3152, 3153, 3154, 3155, 250,  2595, 5971, 2716, 5980, 6025,
+    2826, 5988, 6033, 6069, 2925, 5995, 6040, 6076, 6104, 3013, 6001, 6046,
+    6082, 6110, 6131, 3090, 6006, 6051, 6087, 6115, 6136, 6151, 3156, 3205,
+    3206, 3207, 3208, 3209, 3210, 3211, 262,  2596, 5972, 2717, 5981, 6026,
+    2827, 5989, 6034, 6070, 2926, 5996, 6041, 6077, 6105, 3014, 6002, 6047,
+    6083, 6111, 6132, 3091, 6007, 6052, 6088, 6116, 6137, 6152, 3157, 6011,
+    6056, 6092, 6120, 6141, 6156, 6166, 3212, 3249, 3250, 3251, 3252, 3253,
+    3254, 3255, 3256, 274,  2566, 3282, 2687, 3282, 3283, 2797, 3282, 3283,
+    3284, 2896, 3282, 3283, 3284, 3285, 2984, 3282, 3283, 3284, 3285, 3286,
+    3061, 3282, 3283, 3284, 3285, 3286, 3287, 3127, 3282, 3283, 3284, 3285,
+    3286, 3287, 3288, 3182, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289,
+    3226, 286,  286,  286,  286,  286,  286,  286,  286,  286,  130,  178,
+    2589, 2710, 190,  2590, 5966, 2711, 2820, 2821, 202,  2591, 5967, 2712,
+    5976, 6021, 2822, 2919, 2920, 2921, 214,  2592, 5968, 2713, 5977, 6022,
+    2823, 5985, 6030, 6066, 2922, 3007, 3008, 3009, 3010, 226,  2593, 5969,
+    2714, 5978, 6023, 2824, 5986, 6031, 6067, 2923, 5993, 6038, 6074, 6102,
+    3011, 3084, 3085, 3086, 3087, 3088, 238,  2594, 5970, 2715, 5979, 6024,
+    2825, 5987, 6032, 6068, 2924, 5994, 6039, 6075, 6103, 3012, 6000, 6045,
+    6081, 6109, 6130, 3089, 3150, 3151, 3152, 3153, 3154, 3155, 250,  2595,
+    5971, 2716, 5980, 6025, 2826, 5988, 6033, 6069, 2925, 5995, 6040, 6076,
+    6104, 3013, 6001, 6046, 6082, 6110, 6131, 3090, 6006, 6051, 6087, 6115,
+    6136, 6151, 3156, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 262,  2596,
+    5972, 2717, 5981, 6026, 2827, 5989, 6034, 6070, 2926, 5996, 6041, 6077,
+    6105, 3014, 6002, 6047, 6083, 6111, 6132, 3091, 6007, 6052, 6088, 6116,
+    6137, 6152, 3157, 6011, 6056, 6092, 6120, 6141, 6156, 6166, 3212, 3249,
+    3250, 3251, 3252, 3253, 3254, 3255, 3256, 274,  2597, 5973, 2718, 5982,
+    6027, 2828, 5990, 6035, 6071, 2927, 5997, 6042, 6078, 6106, 3015, 6003,
+    6048, 6084, 6112, 6133, 3092, 6008, 6053, 6089, 6117, 6138, 6153, 3158,
+    6012, 6057, 6093, 6121, 6142, 6157, 6167, 3213, 6015, 6060, 6096, 6124,
+    6145, 6160, 6170, 6176, 3257, 3282, 3283, 3284, 3285, 3286, 3287, 3288,
+    3289, 3290, 286,  2577, 3304, 2698, 3304, 3305, 2808, 3304, 3305, 3306,
+    2907, 3304, 3305, 3306, 3307, 2995, 3304, 3305, 3306, 3307, 3308, 3072,
+    3304, 3305, 3306, 3307, 3308, 3309, 3138, 3304, 3305, 3306, 3307, 3308,
+    3309, 3310, 3193, 3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3237,
+    3304, 3305, 3306, 3307, 3308, 3309, 3310, 3311, 3312, 3270, 298,  298,
+    298,  298,  298,  298,  298,  298,  298,  298,  142,  178,  2589, 2710,
+    190,  2590, 5966, 2711, 2820, 2821, 202,  2591, 5967, 2712, 5976, 6021,
+    2822, 2919, 2920, 2921, 214,  2592, 5968, 2713, 5977, 6022, 2823, 5985,
+    6030, 6066, 2922, 3007, 3008, 3009, 3010, 226,  2593, 5969, 2714, 5978,
+    6023, 2824, 5986, 6031, 6067, 2923, 5993, 6038, 6074, 6102, 3011, 3084,
+    3085, 3086, 3087, 3088, 238,  2594, 5970, 2715, 5979, 6024, 2825, 5987,
+    6032, 6068, 2924, 5994, 6039, 6075, 6103, 3012, 6000, 6045, 6081, 6109,
+    6130, 3089, 3150, 3151, 3152, 3153, 3154, 3155, 250,  2595, 5971, 2716,
+    5980, 6025, 2826, 5988, 6033, 6069, 2925, 5995, 6040, 6076, 6104, 3013,
+    6001, 6046, 6082, 6110, 6131, 3090, 6006, 6051, 6087, 6115, 6136, 6151,
+    3156, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 262,  2596, 5972, 2717,
+    5981, 6026, 2827, 5989, 6034, 6070, 2926, 5996, 6041, 6077, 6105, 3014,
+    6002, 6047, 6083, 6111, 6132, 3091, 6007, 6052, 6088, 6116, 6137, 6152,
+    3157, 6011, 6056, 6092, 6120, 6141, 6156, 6166, 3212, 3249, 3250, 3251,
+    3252, 3253, 3254, 3255, 3256, 274,  2597, 5973, 2718, 5982, 6027, 2828,
+    5990, 6035, 6071, 2927, 5997, 6042, 6078, 6106, 3015, 6003, 6048, 6084,
+    6112, 6133, 3092, 6008, 6053, 6089, 6117, 6138, 6153, 3158, 6012, 6057,
+    6093, 6121, 6142, 6157, 6167, 3213, 6015, 6060, 6096, 6124, 6145, 6160,
+    6170, 6176, 3257, 3282, 3283, 3284, 3285, 3286, 3287, 3288, 3289, 3290,
+    286,  2598, 5974, 2719, 5983, 6028, 2829, 5991, 6036, 6072, 2928, 5998,
+    6043, 6079, 6107, 3016, 6004, 6049, 6085, 6113, 6134, 3093, 6009, 6054,
+    6090, 6118, 6139, 6154, 3159, 6013, 6058, 6094, 6122, 6143, 6158, 6168,
+    3214, 6016, 6061, 6097, 6125, 6146, 6161, 6171, 6177, 3258, 1609, 6063,
+    6099, 6127, 6148, 6163, 6173, 6179, 1608, 3291, 3304, 3305, 3306, 3307,
+    3308, 3309, 3310, 3311, 3312, 3313, 298,  2588, 3315, 2709, 3315, 3316,
+    2819, 3315, 3316, 3317, 2918, 3315, 3316, 3317, 3318, 3006, 3315, 3316,
+    3317, 3318, 3319, 3083, 3315, 3316, 3317, 3318, 3319, 3320, 3149, 3315,
+    3316, 3317, 3318, 3319, 3320, 3321, 3204, 3315, 3316, 3317, 3318, 3319,
+    3320, 3321, 3322, 3248, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322,
+    3323, 3281, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324,
+    3303, 310,  310,  310,  310,  310,  310,  310,  310,  310,  310,  310,
+    154,  178,  311,  312,  190,  311,  2402, 312,  313,  313,  202,  311,
+    2402, 312,  2403, 2413, 313,  314,  314,  314,  214,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  315,  315,  315,  315,  226,
+    311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415,
+    2424, 2432, 315,  316,  316,  316,  316,  316,  238,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    2406, 2416, 2425, 2433, 2440, 316,  317,  317,  317,  317,  317,  317,
+    250,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405,
+    2415, 2424, 2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417,
+    2426, 2434, 2441, 2447, 317,  318,  318,  318,  318,  318,  318,  318,
+    262,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405,
+    2415, 2424, 2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417,
+    2426, 2434, 2441, 2447, 317,  2408, 2418, 2427, 2435, 2442, 2448, 2453,
+    318,  319,  319,  319,  319,  319,  319,  319,  319,  274,  311,  2402,
+    312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432,
+    315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441,
+    2447, 317,  2408, 2418, 2427, 2435, 2442, 2448, 2453, 318,  2409, 2419,
+    2428, 2436, 2443, 2449, 2454, 2458, 319,  320,  320,  320,  320,  320,
+    320,  320,  320,  320,  286,  311,  2402, 312,  2403, 2413, 313,  2404,
+    2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425, 2433,
+    2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,  2408, 2418, 2427,
+    2435, 2442, 2448, 2453, 318,  2409, 2419, 2428, 2436, 2443, 2449, 2454,
+    2458, 319,  2410, 2420, 2429, 2437, 2444, 2450, 2455, 2459, 2462, 320,
+    321,  321,  321,  321,  321,  321,  321,  321,  321,  321,  298,  311,
+    2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424,
+    2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434,
+    2441, 2447, 317,  2408, 2418, 2427, 2435, 2442, 2448, 2453, 318,  2409,
+    2419, 2428, 2436, 2443, 2449, 2454, 2458, 319,  2410, 2420, 2429, 2437,
+    2444, 2450, 2455, 2459, 2462, 320,  2411, 2421, 2430, 2438, 2445, 2451,
+    2456, 2460, 2463, 2465, 321,  322,  322,  322,  322,  322,  322,  322,
+    322,  322,  322,  322,  310,  155,  155,  156,  155,  156,  157,  155,
+    156,  157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,
+    159,  160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,
+    158,  159,  160,  161,  162,  155,  156,  157,  158,  159,  160,  161,
+    162,  163,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,
+    155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  155,
+    156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,
 };
diff --git a/cpp/src/hashtable7.c b/cpp/src/hashtable7.c
index 4243bf2..2b7cce5 100644
--- a/cpp/src/hashtable7.c
+++ b/cpp/src/hashtable7.c
@@ -17,6156 +17,4105 @@
 #include "tables.h"
 
 const short noflush7[49205] = {
-  11,  23,  11,  167,  23,  11,  167,  179,
-  23,  12,  168,  191,  180,  24,  35,  35,
-  35,  36,  11,  167,  23,  11,  167,  179,
-  23,  12,  168,  2468,  180,  24,  168,  191,
-  192,  180,  35,  35,  36,  11,  167,  179,
-  23,  12,  169,  2468,  181,  24,  168,  2479,
-  2600,  180,  191,  193,  192,  35,  36,  13,
-  169,  203,  181,  25,  169,  203,  204,  181,
-  203,  205,  204,  193,  193,  37,  47,  47,
-  47,  48,  47,  47,  48,  47,  48,  49,
-  11,  167,  23,  11,  167,  179,  23,  12,
-  168,  2468,  180,  24,  168,  191,  192,  180,
-  35,  35,  36,  11,  167,  179,  23,  12,
-  1600,  1600,  1600,  24,  168,  1600,  1600,  180,
-  191,  1600,  192,  35,  36,  13,  169,  2469,
-  181,  25,  169,  1600,  1600,  181,  2480,  1600,
-  2601,  193,  193,  37,  169,  203,  204,  181,
-  203,  1600,  204,  205,  205,  193,  47,  47,
-  48,  47,  48,  49,  11,  167,  179,  23,
-  12,  170,  2468,  182,  24,  168,  2479,  2600,
-  180,  191,  194,  192,  35,  36,  13,  170,
-  2469,  182,  25,  170,  1600,  1600,  182,  2480,
-  1600,  2601,  194,  194,  37,  169,  2490,  2611,
-  181,  2491,  1600,  2612,  2721,  2722,  193,  203,
-  206,  204,  206,  206,  205,  47,  48,  49,
-  14,  170,  215,  182,  26,  170,  215,  216,
-  182,  215,  217,  216,  194,  194,  38,  170,
-  215,  216,  182,  215,  1600,  216,  217,  217,
-  194,  215,  218,  216,  218,  218,  217,  206,
-  206,  206,  50,  59,  59,  59,  60,  59,
-  59,  60,  59,  60,  61,  59,  59,  60,
-  59,  60,  61,  59,  60,  61,  62,  11,
-  167,  23,  11,  167,  179,  23,  12,  168,
-  2468,  180,  24,  168,  191,  192,  180,  35,
-  35,  36,  11,  167,  179,  23,  12,  1610,
-  2468,  1676,  24,  168,  2479,  2600,  180,  191,
-  1742,  192,  35,  36,  13,  169,  2469,  181,
-  25,  169,  2490,  2611,  181,  2480,  2721,  2601,
-  193,  193,  37,  169,  203,  204,  181,  203,
-  1808,  204,  205,  205,  193,  47,  47,  48,
-  47,  48,  49,  11,  167,  179,  23,  12,
-  1610,  2468,  1676,  24,  168,  2479,  2600,  180,
-  191,  1742,  192,  35,  36,  13,  1611,  2469,
-  1677,  25,  1621,  1600,  1600,  1601,  2480,  1600,
-  1601,  1743,  1601,  37,  169,  2490,  2611,  181,
-  2491,  1600,  1601,  2721,  1601,  193,  203,  1808,
-  204,  1809,  1601,  205,  47,  48,  49,  14,
-  170,  2470,  182,  26,  170,  2501,  2622,  182,
-  2481,  2732,  2602,  194,  194,  38,  170,  2501,
-  2622,  182,  2502,  1600,  1601,  2732,  1601,  194,
-  2492,  2831,  2613,  2831,  1601,  2723,  206,  206,
-  206,  50,  170,  215,  216,  182,  215,  1874,
-  216,  217,  217,  194,  215,  1874,  216,  1875,
-  1601,  217,  218,  218,  218,  206,  59,  59,
-  60,  59,  60,  61,  59,  60,  61,  62,
-  11,  167,  179,  23,  12,  171,  2468,  183,
-  24,  168,  2479,  2600,  180,  191,  195,  192,
-  35,  36,  13,  171,  2469,  183,  25,  171,
-  2512,  2633,  183,  2480,  2743,  2601,  195,  195,
-  37,  169,  2490,  2611,  181,  2491,  2842,  2612,
-  2721,  2722,  193,  203,  207,  204,  207,  207,
-  205,  47,  48,  49,  14,  171,  2470,  183,
-  26,  171,  2512,  2633,  183,  2481,  2743,  2602,
-  195,  195,  38,  171,  2512,  2633,  183,  2513,
-  1600,  1601,  2743,  1601,  195,  2492,  2842,  2613,
-  2842,  1601,  2723,  207,  207,  207,  50,  170,
-  2501,  2622,  182,  2502,  2930,  2623,  2732,  2733,
-  194,  2503,  2930,  2624,  2930,  1601,  2734,  2831,
-  2832,  2833,  206,  215,  219,  216,  219,  219,
-  217,  219,  219,  219,  218,  59,  60,  61,
-  62,  15,  171,  227,  183,  27,  171,  227,
-  228,  183,  227,  229,  228,  195,  195,  39,
-  171,  227,  228,  183,  227,  1940,  228,  229,
-  229,  195,  227,  230,  228,  230,  230,  229,
-  207,  207,  207,  51,  171,  227,  228,  183,
-  227,  1940,  228,  229,  229,  195,  227,  1940,
-  228,  1941,  1601,  229,  230,  230,  230,  207,
-  227,  231,  228,  231,  231,  229,  231,  231,
-  231,  230,  219,  219,  219,  219,  63,  71,
-  71,  71,  72,  71,  71,  72,  71,  72,
-  73,  71,  71,  72,  71,  72,  73,  71,
-  72,  73,  74,  71,  71,  72,  71,  72,
-  73,  71,  72,  73,  74,  71,  72,  73,
-  74,  75,  11,  167,  23,  11,  167,  179,
-  23,  12,  168,  2468,  180,  24,  168,  191,
-  192,  180,  35,  35,  36,  11,  167,  179,
-  23,  12,  1610,  2468,  1676,  24,  168,  2479,
-  2600,  180,  191,  1742,  192,  35,  36,  13,
-  169,  2469,  181,  25,  169,  2490,  2611,  181,
-  2480,  2721,  2601,  193,  193,  37,  169,  203,
-  204,  181,  203,  1808,  204,  205,  205,  193,
-  47,  47,  48,  47,  48,  49,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  1600,  1600,
-  1687,  2480,  1600,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  1600,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  170,  2470,  182,  26,  170,
-  2501,  2622,  182,  2481,  2732,  2602,  194,  194,
-  38,  170,  2501,  2622,  182,  2502,  1600,  2623,
-  2732,  2733,  194,  2492,  2831,  2613,  2831,  2832,
-  2723,  206,  206,  206,  50,  170,  215,  216,
-  182,  215,  1874,  216,  217,  217,  194,  215,
-  1874,  216,  1875,  1885,  217,  218,  218,  218,
-  206,  59,  59,  60,  59,  60,  61,  59,
-  60,  61,  62,  11,  167,  179,  23,  12,
-  1610,  2468,  1676,  24,  168,  2479,  2600,  180,
-  191,  1742,  192,  35,  36,  13,  1611,  2469,
-  1677,  25,  1621,  3326,  3546,  1687,  2480,  3766,
-  2601,  1743,  1753,  37,  169,  2490,  2611,  181,
-  2491,  3986,  2612,  2721,  2722,  193,  203,  1808,
-  204,  1809,  1819,  205,  47,  48,  49,  14,
-  1612,  2470,  1678,  26,  1622,  3327,  3547,  1688,
-  2481,  3767,  2602,  1744,  1754,  38,  1631,  3336,
-  3556,  1697,  1602,  1600,  1601,  1602,  1601,  1602,
-  2492,  3987,  2613,  1602,  1601,  1602,  1810,  1820,
-  1602,  50,  170,  2501,  2622,  182,  2502,  4206,
-  2623,  2732,  2733,  194,  2503,  4207,  2624,  1602,
-  1601,  1602,  2831,  2832,  1602,  206,  215,  1874,
-  216,  1875,  1885,  217,  1876,  1886,  1602,  218,
-  59,  60,  61,  62,  15,  171,  2471,  183,
-  27,  171,  2512,  2633,  183,  2482,  2743,  2603,
-  195,  195,  39,  171,  2512,  2633,  183,  2513,
-  4426,  2634,  2743,  2744,  195,  2493,  2842,  2614,
-  2842,  2843,  2724,  207,  207,  207,  51,  171,
-  2512,  2633,  183,  2513,  4426,  2634,  2743,  2744,
-  195,  2514,  4427,  2635,  1602,  1601,  1602,  2842,
-  2843,  1602,  207,  2504,  2930,  2625,  2930,  2931,
-  2735,  2930,  2931,  1602,  2834,  219,  219,  219,
-  219,  63,  171,  227,  228,  183,  227,  1940,
-  228,  229,  229,  195,  227,  1940,  228,  1941,
-  1951,  229,  230,  230,  230,  207,  227,  1940,
-  228,  1941,  1951,  229,  1942,  1952,  1602,  230,
-  231,  231,  231,  231,  219,  71,  71,  72,
-  71,  72,  73,  71,  72,  73,  74,  71,
-  72,  73,  74,  75,  11,  167,  179,  23,
-  12,  172,  2468,  184,  24,  168,  2479,  2600,
-  180,  191,  196,  192,  35,  36,  13,  172,
-  2469,  184,  25,  172,  2523,  2644,  184,  2480,
-  2754,  2601,  196,  196,  37,  169,  2490,  2611,
-  181,  2491,  2853,  2612,  2721,  2722,  193,  203,
-  208,  204,  208,  208,  205,  47,  48,  49,
-  14,  172,  2470,  184,  26,  172,  2523,  2644,
-  184,  2481,  2754,  2602,  196,  196,  38,  172,
-  2523,  2644,  184,  2524,  1600,  2645,  2754,  2755,
-  196,  2492,  2853,  2613,  2853,  2854,  2723,  208,
-  208,  208,  50,  170,  2501,  2622,  182,  2502,
-  2941,  2623,  2732,  2733,  194,  2503,  2941,  2624,
-  2941,  2942,  2734,  2831,  2832,  2833,  206,  215,
-  220,  216,  220,  220,  217,  220,  220,  220,
-  218,  59,  60,  61,  62,  15,  172,  2471,
-  184,  27,  172,  2523,  2644,  184,  2482,  2754,
-  2603,  196,  196,  39,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2493,  2853,
-  2614,  2853,  2854,  2724,  208,  208,  208,  51,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2525,  4647,  2646,  1602,  1601,  1602,
-  2853,  2854,  1602,  208,  2504,  2941,  2625,  2941,
-  2942,  2735,  2941,  2942,  1602,  2834,  220,  220,
-  220,  220,  63,  171,  2512,  2633,  183,  2513,
-  3018,  2634,  2743,  2744,  195,  2514,  3018,  2635,
-  3018,  3019,  2745,  2842,  2843,  2844,  207,  2515,
-  3018,  2636,  3018,  3019,  2746,  3018,  3019,  1602,
-  2845,  2930,  2931,  2932,  2933,  219,  227,  232,
-  228,  232,  232,  229,  232,  232,  232,  230,
-  232,  232,  232,  232,  231,  71,  72,  73,
-  74,  75,  16,  172,  239,  184,  28,  172,
-  239,  240,  184,  239,  241,  240,  196,  196,
-  40,  172,  239,  240,  184,  239,  2006,  240,
-  241,  241,  196,  239,  242,  240,  242,  242,
-  241,  208,  208,  208,  52,  172,  239,  240,
-  184,  239,  2006,  240,  241,  241,  196,  239,
-  2006,  240,  2007,  2017,  241,  242,  242,  242,
-  208,  239,  243,  240,  243,  243,  241,  243,
-  243,  243,  242,  220,  220,  220,  220,  64,
-  172,  239,  240,  184,  239,  2006,  240,  241,
-  241,  196,  239,  2006,  240,  2007,  2017,  241,
-  242,  242,  242,  208,  239,  2006,  240,  2007,
-  2017,  241,  2008,  2018,  1602,  242,  243,  243,
-  243,  243,  220,  239,  244,  240,  244,  244,
-  241,  244,  244,  244,  242,  244,  244,  244,
-  244,  243,  232,  232,  232,  232,  232,  76,
-  83,  83,  83,  84,  83,  83,  84,  83,
-  84,  85,  83,  83,  84,  83,  84,  85,
-  83,  84,  85,  86,  83,  83,  84,  83,
-  84,  85,  83,  84,  85,  86,  83,  84,
-  85,  86,  87,  83,  83,  84,  83,  84,
-  85,  83,  84,  85,  86,  83,  84,  85,
-  86,  87,  83,  84,  85,  86,  87,  88,
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-  3767,  2602,  1744,  1754,  38,  1631,  3336,  3556,
-  1697,  3381,  1600,  3601,  3776,  3821,  1763,  2492,
-  3987,  2613,  3996,  4041,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  4261,
-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
-  60,  61,  62,  15,  1613,  2471,  1679,  27,
-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
-  1755,  39,  1632,  3337,  3557,  1698,  3382,  6186,
-  3602,  3777,  3822,  1764,  2493,  3988,  2614,  3997,
-  4042,  2724,  1811,  1821,  1830,  51,  1640,  3345,
-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  3426,  6230,  3646,  1602,  1601,  1602,  4005,  4050,
-  1602,  1838,  2504,  4208,  2625,  4217,  4262,  2735,
-  4225,  4270,  1602,  2834,  1877,  1887,  1896,  1904,
-  63,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2514,  4427,  2635,  4436,  4481,
-  2745,  2842,  2843,  2844,  207,  2515,  4428,  2636,
-  4437,  4482,  2746,  4445,  4490,  1602,  2845,  2930,
-  2931,  2932,  2933,  219,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  1943,  1953,
-  1962,  1970,  231,  71,  72,  73,  74,  75,
-  16,  172,  2472,  184,  28,  172,  2523,  2644,
-  184,  2483,  2754,  2604,  196,  196,  40,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2494,  2853,  2615,  2853,  2854,  2725,  208,
-  208,  208,  52,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2505,
-  2941,  2626,  2941,  2942,  2736,  2941,  2942,  2943,
-  2835,  220,  220,  220,  220,  64,  172,  2523,
-  2644,  184,  2524,  4646,  2645,  2754,  2755,  196,
-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
-  2855,  208,  2526,  4648,  2647,  4657,  4702,  2757,
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-  220,  2516,  3018,  2637,  3018,  3019,  2747,  3018,
-  3019,  3020,  2846,  3018,  3019,  3020,  3021,  2934,
-  232,  232,  232,  232,  232,  76,  172,  239,
-  240,  184,  239,  2006,  240,  241,  241,  196,
-  239,  2006,  240,  2007,  2017,  241,  242,  242,
-  242,  208,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  243,  243,  243,  243,
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-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  244,  244,  244,  244,  244,  232,  83,  83,
-  84,  83,  84,  85,  83,  84,  85,  86,
-  83,  84,  85,  86,  87,  83,  84,  85,
-  86,  87,  88,  11,  167,  179,  23,  12,
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-  191,  1742,  192,  35,  36,  13,  1611,  2469,
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-  2601,  1743,  1753,  37,  169,  2490,  2611,  181,
-  2491,  3986,  2612,  2721,  2722,  193,  203,  1808,
-  204,  1809,  1819,  205,  47,  48,  49,  14,
-  1612,  2470,  1678,  26,  1622,  3327,  3547,  1688,
-  2481,  3767,  2602,  1744,  1754,  38,  1631,  3336,
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-  216,  1875,  1885,  217,  1876,  1886,  1895,  218,
-  59,  60,  61,  62,  15,  1613,  2471,  1679,
-  27,  1623,  3328,  3548,  1689,  2482,  3768,  2603,
-  1745,  1755,  39,  1632,  3337,  3557,  1698,  3382,
-  6186,  3602,  3777,  3822,  1764,  2493,  3988,  2614,
-  3997,  4042,  2724,  1811,  1821,  1830,  51,  1640,
-  3345,  3565,  1706,  3390,  6194,  3610,  3785,  3830,
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-  2636,  4437,  4482,  2746,  4445,  4490,  4526,  2845,
-  2930,  2931,  2932,  2933,  219,  227,  1940,  228,
-  1941,  1951,  229,  1942,  1952,  1961,  230,  1943,
-  1953,  1962,  1970,  231,  71,  72,  73,  74,
-  75,  16,  1614,  2472,  1680,  28,  1624,  3329,
-  3549,  1690,  2483,  3769,  2604,  1746,  1756,  40,
-  1633,  3338,  3558,  1699,  3383,  6187,  3603,  3778,
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-  2505,  4209,  2626,  4218,  4263,  2736,  4226,  4271,
-  4307,  2835,  1878,  1888,  1897,  1905,  64,  1648,
-  3353,  3573,  1714,  3398,  6202,  3618,  3793,  3838,
-  1780,  3434,  6238,  3654,  6358,  6686,  3874,  4013,
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-  1604,  1603,  1603,  1602,  1603,  1604,  1604,  1604,
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-  196,  2525,  4647,  2646,  4656,  4701,  2756,  2853,
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-  2757,  4665,  4710,  4746,  2856,  2941,  2942,  2943,
-  2944,  220,  2527,  4649,  2648,  4658,  4703,  2758,
-  4666,  4711,  4747,  2857,  1604,  1604,  1604,  1603,
-  1604,  3018,  3019,  3020,  3021,  1604,  232,  239,
-  2006,  240,  2007,  2017,  241,  2008,  2018,  2027,
-  242,  2009,  2019,  2028,  2036,  243,  2010,  2020,
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-  3547,  1688,  2481,  3767,  2602,  1744,  1754,  38,
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-  2635,  4436,  4481,  2745,  2842,  2843,  2844,  207,
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-  4526,  2845,  2930,  2931,  2932,  2933,  219,  227,
-  1940,  228,  1941,  1951,  229,  1942,  1952,  1961,
-  230,  1943,  1953,  1962,  1970,  231,  71,  72,
-  73,  74,  75,  16,  1614,  2472,  1680,  28,
-  1624,  3329,  3549,  1690,  2483,  3769,  2604,  1746,
-  1756,  40,  1633,  3338,  3558,  1699,  3383,  6187,
-  3603,  3778,  3823,  1765,  2494,  3989,  2615,  3998,
-  4043,  2725,  1812,  1822,  1831,  52,  1641,  3346,
-  3566,  1707,  3391,  6195,  3611,  3786,  3831,  1773,
-  3427,  6231,  3647,  6351,  6679,  3867,  4006,  4051,
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-  4226,  4271,  4307,  2835,  1878,  1888,  1897,  1905,
-  64,  1648,  3353,  3573,  1714,  3398,  6202,  3618,
-  3793,  3838,  1780,  3434,  6238,  3654,  6358,  6686,
-  3874,  4013,  4058,  4094,  1846,  3462,  6266,  3682,
-  6386,  6714,  3902,  1603,  1603,  1602,  1603,  4233,
-  4278,  4314,  1603,  1912,  2516,  4429,  2637,  4438,
-  4483,  2747,  4446,  4491,  4527,  2846,  4453,  4498,
-  4534,  1603,  2934,  1944,  1954,  1963,  1971,  1978,
-  76,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2525,  4647,  2646,  4656,  4701,
-  2756,  2853,  2854,  2855,  208,  2526,  4648,  2647,
-  4657,  4702,  2757,  4665,  4710,  4746,  2856,  2941,
-  2942,  2943,  2944,  220,  2527,  4649,  2648,  4658,
-  4703,  2758,  4666,  4711,  4747,  2857,  4673,  4718,
-  4754,  1603,  2945,  3018,  3019,  3020,  3021,  3022,
-  232,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  2010,  2020,  2029,  2037,  2044,  244,  83,  84,
-  85,  86,  87,  88,  17,  173,  2473,  185,
-  29,  173,  2534,  2655,  185,  2484,  2765,  2605,
-  197,  197,  41,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2495,  2864,  2616,
-  2864,  2865,  2726,  209,  209,  209,  53,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2536,  4867,  2657,  4876,  4921,  2767,  2864,
-  2865,  2866,  209,  2506,  2952,  2627,  2952,  2953,
-  2737,  2952,  2953,  2954,  2836,  221,  221,  221,
-  221,  65,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2537,  4868,
-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2517,  3029,  2638,
-  3029,  3030,  2748,  3029,  3030,  3031,  2847,  3029,
-  3030,  3031,  3032,  2935,  233,  233,  233,  233,
-  233,  77,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2537,  4868,
-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2538,  4869,  2659,
-  4878,  4923,  2769,  4886,  4931,  4967,  2868,  4893,
-  4938,  4974,  1603,  2956,  3029,  3030,  3031,  3032,
-  3033,  233,  2528,  3095,  2649,  3095,  3096,  2759,
-  3095,  3096,  3097,  2858,  3095,  3096,  3097,  3098,
-  2946,  3095,  3096,  3097,  3098,  3099,  3023,  245,
-  245,  245,  245,  245,  245,  89,  173,  251,
-  252,  185,  251,  2072,  252,  253,  253,  197,
-  251,  2072,  252,  2073,  2083,  253,  254,  254,
-  254,  209,  251,  2072,  252,  2073,  2083,  253,
-  2074,  2084,  2093,  254,  255,  255,  255,  255,
-  221,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  2075,  2085,  2094,  2102,  255,
-  256,  256,  256,  256,  256,  233,  251,  2072,
-  252,  2073,  2083,  253,  2074,  2084,  2093,  254,
-  2075,  2085,  2094,  2102,  255,  2076,  2086,  2095,
-  2103,  2110,  256,  257,  257,  257,  257,  257,
-  257,  245,  95,  95,  96,  95,  96,  97,
-  95,  96,  97,  98,  95,  96,  97,  98,
-  99,  95,  96,  97,  98,  99,  100,  95,
-  96,  97,  98,  99,  100,  101,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  3601,
-  3776,  3821,  1763,  2492,  3987,  2613,  3996,  4041,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  4261,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  1613,  2471,  1679,  27,  1623,  3328,  3548,  1689,
-  2482,  3768,  2603,  1745,  1755,  39,  1632,  3337,
-  3557,  1698,  3382,  6186,  3602,  3777,  3822,  1764,
-  2493,  3988,  2614,  3997,  4042,  2724,  1811,  1821,
-  1830,  51,  1640,  3345,  3565,  1706,  3390,  6194,
-  3610,  3785,  3830,  1772,  3426,  6230,  3646,  6350,
-  1601,  3866,  4005,  4050,  4086,  1838,  2504,  4208,
-  2625,  4217,  4262,  2735,  4225,  4270,  4306,  2834,
-  1877,  1887,  1896,  1904,  63,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  4481,  2745,  2842,  2843,  2844,
-  207,  2515,  4428,  2636,  4437,  4482,  2746,  4445,
-  4490,  4526,  2845,  2930,  2931,  2932,  2933,  219,
-  227,  1940,  228,  1941,  1951,  229,  1942,  1952,
-  1961,  230,  1943,  1953,  1962,  1970,  231,  71,
-  72,  73,  74,  75,  16,  1614,  2472,  1680,
-  28,  1624,  3329,  3549,  1690,  2483,  3769,  2604,
-  1746,  1756,  40,  1633,  3338,  3558,  1699,  3383,
-  6187,  3603,  3778,  3823,  1765,  2494,  3989,  2615,
-  3998,  4043,  2725,  1812,  1822,  1831,  52,  1641,
-  3346,  3566,  1707,  3391,  6195,  3611,  3786,  3831,
-  1773,  3427,  6231,  3647,  6351,  6679,  3867,  4006,
-  4051,  4087,  1839,  2505,  4209,  2626,  4218,  4263,
-  2736,  4226,  4271,  4307,  2835,  1878,  1888,  1897,
-  1905,  64,  1648,  3353,  3573,  1714,  3398,  6202,
-  3618,  3793,  3838,  1780,  3434,  6238,  3654,  6358,
-  6686,  3874,  4013,  4058,  4094,  1846,  3462,  6266,
-  3682,  6386,  6714,  3902,  6470,  6798,  1602,  4122,
-  4233,  4278,  4314,  4342,  1912,  2516,  4429,  2637,
-  4438,  4483,  2747,  4446,  4491,  4527,  2846,  4453,
-  4498,  4534,  4562,  2934,  1944,  1954,  1963,  1971,
-  1978,  76,  172,  2523,  2644,  184,  2524,  4646,
-  2645,  2754,  2755,  196,  2525,  4647,  2646,  4656,
-  4701,  2756,  2853,  2854,  2855,  208,  2526,  4648,
-  2647,  4657,  4702,  2757,  4665,  4710,  4746,  2856,
-  2941,  2942,  2943,  2944,  220,  2527,  4649,  2648,
-  4658,  4703,  2758,  4666,  4711,  4747,  2857,  4673,
-  4718,  4754,  4782,  2945,  3018,  3019,  3020,  3021,
-  3022,  232,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  2009,  2019,  2028,  2036,
-  243,  2010,  2020,  2029,  2037,  2044,  244,  83,
-  84,  85,  86,  87,  88,  17,  1615,  2473,
-  1681,  29,  1625,  3330,  3550,  1691,  2484,  3770,
-  2605,  1747,  1757,  41,  1634,  3339,  3559,  1700,
-  3384,  6188,  3604,  3779,  3824,  1766,  2495,  3990,
-  2616,  3999,  4044,  2726,  1813,  1823,  1832,  53,
-  1642,  3347,  3567,  1708,  3392,  6196,  3612,  3787,
-  3832,  1774,  3428,  6232,  3648,  6352,  6680,  3868,
-  4007,  4052,  4088,  1840,  2506,  4210,  2627,  4219,
-  4264,  2737,  4227,  4272,  4308,  2836,  1879,  1889,
-  1898,  1906,  65,  1649,  3354,  3574,  1715,  3399,
-  6203,  3619,  3794,  3839,  1781,  3435,  6239,  3655,
-  6359,  6687,  3875,  4014,  4059,  4095,  1847,  3463,
-  6267,  3683,  6387,  6715,  3903,  6471,  6799,  7008,
-  4123,  4234,  4279,  4315,  4343,  1913,  2517,  4430,
-  2638,  4439,  4484,  2748,  4447,  4492,  4528,  2847,
-  4454,  4499,  4535,  4563,  2935,  1945,  1955,  1964,
-  1972,  1979,  77,  1655,  3360,  3580,  1721,  3405,
-  6209,  3625,  3800,  3845,  1787,  3441,  6245,  3661,
-  6365,  6693,  3881,  4020,  4065,  4101,  1853,  3469,
-  6273,  3689,  6393,  6721,  3909,  6477,  6805,  7014,
-  4129,  4240,  4285,  4321,  4349,  1919,  3490,  6294,
-  3710,  6414,  6742,  3930,  6498,  6826,  7035,  4150,
-  1604,  1604,  1604,  1603,  1604,  4460,  4505,  4541,
-  4569,  1604,  1985,  2528,  4650,  2649,  4659,  4704,
-  2759,  4667,  4712,  4748,  2858,  4674,  4719,  4755,
-  4783,  2946,  4680,  4725,  4761,  4789,  1604,  3023,
-  2011,  2021,  2030,  2038,  2045,  2051,  89,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2536,  4867,  2657,  4876,  4921,  2767,  2864,
-  2865,  2866,  209,  2537,  4868,  2658,  4877,  4922,
-  2768,  4885,  4930,  4966,  2867,  2952,  2953,  2954,
-  2955,  221,  2538,  4869,  2659,  4878,  4923,  2769,
-  4886,  4931,  4967,  2868,  4893,  4938,  4974,  5002,
-  2956,  3029,  3030,  3031,  3032,  3033,  233,  2539,
-  4870,  2660,  4879,  4924,  2770,  4887,  4932,  4968,
-  2869,  4894,  4939,  4975,  5003,  2957,  4900,  4945,
-  4981,  5009,  1604,  3034,  3095,  3096,  3097,  3098,
-  3099,  3100,  245,  251,  2072,  252,  2073,  2083,
-  253,  2074,  2084,  2093,  254,  2075,  2085,  2094,
-  2102,  255,  2076,  2086,  2095,  2103,  2110,  256,
-  2077,  2087,  2096,  2104,  2111,  2117,  257,  95,
-  96,  97,  98,  99,  100,  101,  18,  174,
-  2474,  186,  30,  174,  2545,  2666,  186,  2485,
-  2776,  2606,  198,  198,  42,  174,  2545,  2666,
-  186,  2546,  5086,  2667,  2776,  2777,  198,  2496,
-  2875,  2617,  2875,  2876,  2727,  210,  210,  210,
-  54,  174,  2545,  2666,  186,  2546,  5086,  2667,
-  2776,  2777,  198,  2547,  5087,  2668,  5096,  5141,
-  2778,  2875,  2876,  2877,  210,  2507,  2963,  2628,
-  2963,  2964,  2738,  2963,  2964,  2965,  2837,  222,
-  222,  222,  222,  66,  174,  2545,  2666,  186,
-  2546,  5086,  2667,  2776,  2777,  198,  2547,  5087,
-  2668,  5096,  5141,  2778,  2875,  2876,  2877,  210,
-  2548,  5088,  2669,  5097,  5142,  2779,  5105,  5150,
-  5186,  2878,  2963,  2964,  2965,  2966,  222,  2518,
-  3040,  2639,  3040,  3041,  2749,  3040,  3041,  3042,
-  2848,  3040,  3041,  3042,  3043,  2936,  234,  234,
-  234,  234,  234,  78,  174,  2545,  2666,  186,
-  2546,  5086,  2667,  2776,  2777,  198,  2547,  5087,
-  2668,  5096,  5141,  2778,  2875,  2876,  2877,  210,
-  2548,  5088,  2669,  5097,  5142,  2779,  5105,  5150,
-  5186,  2878,  2963,  2964,  2965,  2966,  222,  2549,
-  5089,  2670,  5098,  5143,  2780,  5106,  5151,  5187,
-  2879,  5113,  5158,  5194,  5222,  2967,  3040,  3041,
-  3042,  3043,  3044,  234,  2529,  3106,  2650,  3106,
-  3107,  2760,  3106,  3107,  3108,  2859,  3106,  3107,
-  3108,  3109,  2947,  3106,  3107,  3108,  3109,  3110,
-  3024,  246,  246,  246,  246,  246,  246,  90,
-  174,  2545,  2666,  186,  2546,  5086,  2667,  2776,
-  2777,  198,  2547,  5087,  2668,  5096,  5141,  2778,
-  2875,  2876,  2877,  210,  2548,  5088,  2669,  5097,
-  5142,  2779,  5105,  5150,  5186,  2878,  2963,  2964,
-  2965,  2966,  222,  2549,  5089,  2670,  5098,  5143,
-  2780,  5106,  5151,  5187,  2879,  5113,  5158,  5194,
-  5222,  2967,  3040,  3041,  3042,  3043,  3044,  234,
-  2550,  5090,  2671,  5099,  5144,  2781,  5107,  5152,
-  5188,  2880,  5114,  5159,  5195,  5223,  2968,  5120,
-  5165,  5201,  5229,  1604,  3045,  3106,  3107,  3108,
-  3109,  3110,  3111,  246,  2540,  3161,  2661,  3161,
-  3162,  2771,  3161,  3162,  3163,  2870,  3161,  3162,
-  3163,  3164,  2958,  3161,  3162,  3163,  3164,  3165,
-  3035,  3161,  3162,  3163,  3164,  3165,  3166,  3101,
-  258,  258,  258,  258,  258,  258,  258,  102,
-  174,  263,  264,  186,  263,  2138,  264,  265,
-  265,  198,  263,  2138,  264,  2139,  2149,  265,
-  266,  266,  266,  210,  263,  2138,  264,  2139,
-  2149,  265,  2140,  2150,  2159,  266,  267,  267,
-  267,  267,  222,  263,  2138,  264,  2139,  2149,
-  265,  2140,  2150,  2159,  266,  2141,  2151,  2160,
-  2168,  267,  268,  268,  268,  268,  268,  234,
-  263,  2138,  264,  2139,  2149,  265,  2140,  2150,
-  2159,  266,  2141,  2151,  2160,  2168,  267,  2142,
-  2152,  2161,  2169,  2176,  268,  269,  269,  269,
-  269,  269,  269,  246,  263,  2138,  264,  2139,
-  2149,  265,  2140,  2150,  2159,  266,  2141,  2151,
-  2160,  2168,  267,  2142,  2152,  2161,  2169,  2176,
-  268,  2143,  2153,  2162,  2170,  2177,  2183,  269,
-  270,  270,  270,  270,  270,  270,  270,  258,
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-  1756,  40,  1633,  3338,  3558,  1699,  3383,  6187,
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-  3793,  3838,  1780,  3434,  6238,  3654,  6358,  6686,
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-  6386,  6714,  3902,  1603,  1603,  1602,  1603,  4233,
-  4278,  4314,  1603,  1912,  2516,  4429,  2637,  4438,
-  4483,  2747,  4446,  4491,  4527,  2846,  4453,  4498,
-  4534,  1603,  2934,  1944,  1954,  1963,  1971,  1978,
-  76,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2525,  4647,  2646,  4656,  4701,
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-  4754,  1603,  2945,  3018,  3019,  3020,  3021,  3022,
-  232,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  2010,  2020,  2029,  2037,  2044,  244,  83,  84,
-  85,  86,  87,  88,  17,  173,  2473,  185,
-  29,  173,  2534,  2655,  185,  2484,  2765,  2605,
-  197,  197,  41,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2495,  2864,  2616,
-  2864,  2865,  2726,  209,  209,  209,  53,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
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-  2865,  2866,  209,  2506,  2952,  2627,  2952,  2953,
-  2737,  2952,  2953,  2954,  2836,  221,  221,  221,
-  221,  65,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2537,  4868,
-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2517,  3029,  2638,
-  3029,  3030,  2748,  3029,  3030,  3031,  2847,  3029,
-  3030,  3031,  3032,  2935,  233,  233,  233,  233,
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-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2538,  4869,  2659,
-  4878,  4923,  2769,  4886,  4931,  4967,  2868,  4893,
-  4938,  4974,  1603,  2956,  3029,  3030,  3031,  3032,
-  3033,  233,  2528,  3095,  2649,  3095,  3096,  2759,
-  3095,  3096,  3097,  2858,  3095,  3096,  3097,  3098,
-  2946,  3095,  3096,  3097,  3098,  3099,  3023,  245,
-  245,  245,  245,  245,  245,  89,  173,  251,
-  252,  185,  251,  2072,  252,  253,  253,  197,
-  251,  2072,  252,  2073,  2083,  253,  254,  254,
-  254,  209,  251,  2072,  252,  2073,  2083,  253,
-  2074,  2084,  2093,  254,  255,  255,  255,  255,
-  221,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  2075,  2085,  2094,  2102,  255,
-  256,  256,  256,  256,  256,  233,  251,  2072,
-  252,  2073,  2083,  253,  2074,  2084,  2093,  254,
-  2075,  2085,  2094,  2102,  255,  2076,  2086,  2095,
-  2103,  2110,  256,  257,  257,  257,  257,  257,
-  257,  245,  95,  95,  96,  95,  96,  97,
-  95,  96,  97,  98,  95,  96,  97,  98,
-  99,  95,  96,  97,  98,  99,  100,  95,
-  96,  97,  98,  99,  100,  101,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  3601,
-  3776,  3821,  1763,  2492,  3987,  2613,  3996,  4041,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  4261,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  1613,  2471,  1679,  27,  1623,  3328,  3548,  1689,
-  2482,  3768,  2603,  1745,  1755,  39,  1632,  3337,
-  3557,  1698,  3382,  6186,  3602,  3777,  3822,  1764,
-  2493,  3988,  2614,  3997,  4042,  2724,  1811,  1821,
-  1830,  51,  1640,  3345,  3565,  1706,  3390,  6194,
-  3610,  3785,  3830,  1772,  3426,  6230,  3646,  6350,
-  1601,  3866,  4005,  4050,  4086,  1838,  2504,  4208,
-  2625,  4217,  4262,  2735,  4225,  4270,  4306,  2834,
-  1877,  1887,  1896,  1904,  63,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  4481,  2745,  2842,  2843,  2844,
-  207,  2515,  4428,  2636,  4437,  4482,  2746,  4445,
-  4490,  4526,  2845,  2930,  2931,  2932,  2933,  219,
-  227,  1940,  228,  1941,  1951,  229,  1942,  1952,
-  1961,  230,  1943,  1953,  1962,  1970,  231,  71,
-  72,  73,  74,  75,  16,  1614,  2472,  1680,
-  28,  1624,  3329,  3549,  1690,  2483,  3769,  2604,
-  1746,  1756,  40,  1633,  3338,  3558,  1699,  3383,
-  6187,  3603,  3778,  3823,  1765,  2494,  3989,  2615,
-  3998,  4043,  2725,  1812,  1822,  1831,  52,  1641,
-  3346,  3566,  1707,  3391,  6195,  3611,  3786,  3831,
-  1773,  3427,  6231,  3647,  6351,  6679,  3867,  4006,
-  4051,  4087,  1839,  2505,  4209,  2626,  4218,  4263,
-  2736,  4226,  4271,  4307,  2835,  1878,  1888,  1897,
-  1905,  64,  1648,  3353,  3573,  1714,  3398,  6202,
-  3618,  3793,  3838,  1780,  3434,  6238,  3654,  6358,
-  6686,  3874,  4013,  4058,  4094,  1846,  3462,  6266,
-  3682,  6386,  6714,  3902,  6470,  6798,  1602,  4122,
-  4233,  4278,  4314,  4342,  1912,  2516,  4429,  2637,
-  4438,  4483,  2747,  4446,  4491,  4527,  2846,  4453,
-  4498,  4534,  4562,  2934,  1944,  1954,  1963,  1971,
-  1978,  76,  172,  2523,  2644,  184,  2524,  4646,
-  2645,  2754,  2755,  196,  2525,  4647,  2646,  4656,
-  4701,  2756,  2853,  2854,  2855,  208,  2526,  4648,
-  2647,  4657,  4702,  2757,  4665,  4710,  4746,  2856,
-  2941,  2942,  2943,  2944,  220,  2527,  4649,  2648,
-  4658,  4703,  2758,  4666,  4711,  4747,  2857,  4673,
-  4718,  4754,  4782,  2945,  3018,  3019,  3020,  3021,
-  3022,  232,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  2009,  2019,  2028,  2036,
-  243,  2010,  2020,  2029,  2037,  2044,  244,  83,
-  84,  85,  86,  87,  88,  17,  1615,  2473,
-  1681,  29,  1625,  3330,  3550,  1691,  2484,  3770,
-  2605,  1747,  1757,  41,  1634,  3339,  3559,  1700,
-  3384,  6188,  3604,  3779,  3824,  1766,  2495,  3990,
-  2616,  3999,  4044,  2726,  1813,  1823,  1832,  53,
-  1642,  3347,  3567,  1708,  3392,  6196,  3612,  3787,
-  3832,  1774,  3428,  6232,  3648,  6352,  6680,  3868,
-  4007,  4052,  4088,  1840,  2506,  4210,  2627,  4219,
-  4264,  2737,  4227,  4272,  4308,  2836,  1879,  1889,
-  1898,  1906,  65,  1649,  3354,  3574,  1715,  3399,
-  6203,  3619,  3794,  3839,  1781,  3435,  6239,  3655,
-  6359,  6687,  3875,  4014,  4059,  4095,  1847,  3463,
-  6267,  3683,  6387,  6715,  3903,  6471,  6799,  7008,
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-  2638,  4439,  4484,  2748,  4447,  4492,  4528,  2847,
-  4454,  4499,  4535,  4563,  2935,  1945,  1955,  1964,
-  1972,  1979,  77,  1655,  3360,  3580,  1721,  3405,
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-  6365,  6693,  3881,  4020,  4065,  4101,  1853,  3469,
-  6273,  3689,  6393,  6721,  3909,  6477,  6805,  7014,
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-  3710,  6414,  6742,  3930,  6498,  6826,  7035,  4150,
-  1604,  1604,  1604,  1603,  1604,  4460,  4505,  4541,
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-  2759,  4667,  4712,  4748,  2858,  4674,  4719,  4755,
-  4783,  2946,  4680,  4725,  4761,  4789,  1604,  3023,
-  2011,  2021,  2030,  2038,  2045,  2051,  89,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2536,  4867,  2657,  4876,  4921,  2767,  2864,
-  2865,  2866,  209,  2537,  4868,  2658,  4877,  4922,
-  2768,  4885,  4930,  4966,  2867,  2952,  2953,  2954,
-  2955,  221,  2538,  4869,  2659,  4878,  4923,  2769,
-  4886,  4931,  4967,  2868,  4893,  4938,  4974,  5002,
-  2956,  3029,  3030,  3031,  3032,  3033,  233,  2539,
-  4870,  2660,  4879,  4924,  2770,  4887,  4932,  4968,
-  2869,  4894,  4939,  4975,  5003,  2957,  4900,  4945,
-  4981,  5009,  1604,  3034,  3095,  3096,  3097,  3098,
-  3099,  3100,  245,  251,  2072,  252,  2073,  2083,
-  253,  2074,  2084,  2093,  254,  2075,  2085,  2094,
-  2102,  255,  2076,  2086,  2095,  2103,  2110,  256,
-  2077,  2087,  2096,  2104,  2111,  2117,  257,  95,
-  96,  97,  98,  99,  100,  101,  18,  174,
-  2474,  186,  30,  174,  2545,  2666,  186,  2485,
-  2776,  2606,  198,  198,  42,  174,  2545,  2666,
-  186,  2546,  5086,  2667,  2776,  2777,  198,  2496,
-  2875,  2617,  2875,  2876,  2727,  210,  210,  210,
-  54,  174,  2545,  2666,  186,  2546,  5086,  2667,
-  2776,  2777,  198,  2547,  5087,  2668,  5096,  5141,
-  2778,  2875,  2876,  2877,  210,  2507,  2963,  2628,
-  2963,  2964,  2738,  2963,  2964,  2965,  2837,  222,
-  222,  222,  222,  66,  174,  2545,  2666,  186,
-  2546,  5086,  2667,  2776,  2777,  198,  2547,  5087,
-  2668,  5096,  5141,  2778,  2875,  2876,  2877,  210,
-  2548,  5088,  2669,  5097,  5142,  2779,  5105,  5150,
-  5186,  2878,  2963,  2964,  2965,  2966,  222,  2518,
-  3040,  2639,  3040,  3041,  2749,  3040,  3041,  3042,
-  2848,  3040,  3041,  3042,  3043,  2936,  234,  234,
-  234,  234,  234,  78,  174,  2545,  2666,  186,
-  2546,  5086,  2667,  2776,  2777,  198,  2547,  5087,
-  2668,  5096,  5141,  2778,  2875,  2876,  2877,  210,
-  2548,  5088,  2669,  5097,  5142,  2779,  5105,  5150,
-  5186,  2878,  2963,  2964,  2965,  2966,  222,  2549,
-  5089,  2670,  5098,  5143,  2780,  5106,  5151,  5187,
-  2879,  5113,  5158,  5194,  5222,  2967,  3040,  3041,
-  3042,  3043,  3044,  234,  2529,  3106,  2650,  3106,
-  3107,  2760,  3106,  3107,  3108,  2859,  3106,  3107,
-  3108,  3109,  2947,  3106,  3107,  3108,  3109,  3110,
-  3024,  246,  246,  246,  246,  246,  246,  90,
-  174,  2545,  2666,  186,  2546,  5086,  2667,  2776,
-  2777,  198,  2547,  5087,  2668,  5096,  5141,  2778,
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-  2780,  5106,  5151,  5187,  2879,  5113,  5158,  5194,
-  5222,  2967,  3040,  3041,  3042,  3043,  3044,  234,
-  2550,  5090,  2671,  5099,  5144,  2781,  5107,  5152,
-  5188,  2880,  5114,  5159,  5195,  5223,  2968,  5120,
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-  3163,  3164,  2958,  3161,  3162,  3163,  3164,  3165,
-  3035,  3161,  3162,  3163,  3164,  3165,  3166,  3101,
-  258,  258,  258,  258,  258,  258,  258,  102,
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-  265,  2140,  2150,  2159,  266,  2141,  2151,  2160,
-  2168,  267,  268,  268,  268,  268,  268,  234,
-  263,  2138,  264,  2139,  2149,  265,  2140,  2150,
-  2159,  266,  2141,  2151,  2160,  2168,  267,  2142,
-  2152,  2161,  2169,  2176,  268,  269,  269,  269,
-  269,  269,  269,  246,  263,  2138,  264,  2139,
-  2149,  265,  2140,  2150,  2159,  266,  2141,  2151,
-  2160,  2168,  267,  2142,  2152,  2161,  2169,  2176,
-  268,  2143,  2153,  2162,  2170,  2177,  2183,  269,
-  270,  270,  270,  270,  270,  270,  270,  258,
-  107,  107,  108,  107,  108,  109,  107,  108,
-  109,  110,  107,  108,  109,  110,  111,  107,
-  108,  109,  110,  111,  112,  107,  108,  109,
-  110,  111,  112,  113,  107,  108,  109,  110,
-  111,  112,  113,  114,  11,  167,  179,  23,
-  12,  1610,  2468,  1676,  24,  168,  2479,  2600,
-  180,  191,  1742,  192,  35,  36,  13,  1611,
-  2469,  1677,  25,  1621,  3326,  3546,  1687,  2480,
-  3766,  2601,  1743,  1753,  37,  169,  2490,  2611,
-  181,  2491,  3986,  2612,  2721,  2722,  193,  203,
-  1808,  204,  1809,  1819,  205,  47,  48,  49,
-  14,  1612,  2470,  1678,  26,  1622,  3327,  3547,
-  1688,  2481,  3767,  2602,  1744,  1754,  38,  1631,
-  3336,  3556,  1697,  3381,  1600,  3601,  3776,  3821,
-  1763,  2492,  3987,  2613,  3996,  4041,  2723,  1810,
-  1820,  1829,  50,  170,  2501,  2622,  182,  2502,
-  4206,  2623,  2732,  2733,  194,  2503,  4207,  2624,
-  4216,  4261,  2734,  2831,  2832,  2833,  206,  215,
-  1874,  216,  1875,  1885,  217,  1876,  1886,  1895,
-  218,  59,  60,  61,  62,  15,  1613,  2471,
-  1679,  27,  1623,  3328,  3548,  1689,  2482,  3768,
-  2603,  1745,  1755,  39,  1632,  3337,  3557,  1698,
-  3382,  6186,  3602,  3777,  3822,  1764,  2493,  3988,
-  2614,  3997,  4042,  2724,  1811,  1821,  1830,  51,
-  1640,  3345,  3565,  1706,  3390,  6194,  3610,  3785,
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-  7102,  7227,  4381,  4471,  4516,  4552,  4580,  4601,
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-  5240,  5261,  5276,  1606,  3168,  2145,  2155,  2164,
-  2172,  2179,  2185,  2190,  2194,  115,  175,  2556,
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-  95,  96,  97,  98,  99,  100,  101,  18,
-  1616,  2474,  1682,  30,  1626,  3331,  3551,  1692,
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-  4529,  2848,  4455,  4500,  4536,  4564,  2936,  1946,
-  1956,  1965,  1973,  1980,  78,  1656,  3361,  3581,
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-  7036,  4151,  6555,  6883,  7092,  7217,  4371,  4461,
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-  4660,  4705,  2760,  4668,  4713,  4749,  2859,  4675,
-  4720,  4756,  4784,  2947,  4681,  4726,  4762,  4790,
-  4811,  3024,  2012,  2022,  2031,  2039,  2046,  2052,
-  90,  1661,  3366,  3586,  1727,  3411,  6215,  3631,
-  3806,  3851,  1793,  3447,  6251,  3667,  6371,  6699,
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-  4291,  4327,  4355,  1925,  3496,  6300,  3716,  6420,
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-  6847,  7056,  4171,  6575,  6903,  7112,  7237,  4391,
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-  4940,  4976,  5004,  2958,  4901,  4946,  4982,  5010,
-  5031,  3035,  4906,  4951,  4987,  5015,  5036,  5051,
-  3101,  2078,  2088,  2097,  2105,  2112,  2118,  2123,
-  102,  174,  2545,  2666,  186,  2546,  5086,  2667,
-  2776,  2777,  198,  2547,  5087,  2668,  5096,  5141,
-  2778,  2875,  2876,  2877,  210,  2548,  5088,  2669,
-  5097,  5142,  2779,  5105,  5150,  5186,  2878,  2963,
-  2964,  2965,  2966,  222,  2549,  5089,  2670,  5098,
-  5143,  2780,  5106,  5151,  5187,  2879,  5113,  5158,
-  5194,  5222,  2967,  3040,  3041,  3042,  3043,  3044,
-  234,  2550,  5090,  2671,  5099,  5144,  2781,  5107,
-  5152,  5188,  2880,  5114,  5159,  5195,  5223,  2968,
-  5120,  5165,  5201,  5229,  5250,  3045,  3106,  3107,
-  3108,  3109,  3110,  3111,  246,  2551,  5091,  2672,
-  5100,  5145,  2782,  5108,  5153,  5189,  2881,  5115,
-  5160,  5196,  5224,  2969,  5121,  5166,  5202,  5230,
-  5251,  3046,  5126,  5171,  5207,  5235,  5256,  5271,
-  3112,  3161,  3162,  3163,  3164,  3165,  3166,  3167,
-  258,  263,  2138,  264,  2139,  2149,  265,  2140,
-  2150,  2159,  266,  2141,  2151,  2160,  2168,  267,
-  2142,  2152,  2161,  2169,  2176,  268,  2143,  2153,
-  2162,  2170,  2177,  2183,  269,  2144,  2154,  2163,
-  2171,  2178,  2184,  2189,  270,  107,  108,  109,
-  110,  111,  112,  113,  114,  19,  1617,  2475,
-  1683,  31,  1627,  3332,  3552,  1693,  2486,  3772,
-  2607,  1749,  1759,  43,  1636,  3341,  3561,  1702,
-  3386,  6190,  3606,  3781,  3826,  1768,  2497,  3992,
-  2618,  4001,  4046,  2728,  1815,  1825,  1834,  55,
-  1644,  3349,  3569,  1710,  3394,  6198,  3614,  3789,
-  3834,  1776,  3430,  6234,  3650,  6354,  6682,  3870,
-  4009,  4054,  4090,  1842,  2508,  4212,  2629,  4221,
-  4266,  2739,  4229,  4274,  4310,  2838,  1881,  1891,
-  1900,  1908,  67,  1651,  3356,  3576,  1717,  3401,
-  6205,  3621,  3796,  3841,  1783,  3437,  6241,  3657,
-  6361,  6689,  3877,  4016,  4061,  4097,  1849,  3465,
-  6269,  3685,  6389,  6717,  3905,  6473,  6801,  7010,
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-  2640,  4441,  4486,  2750,  4449,  4494,  4530,  2849,
-  4456,  4501,  4537,  4565,  2937,  1947,  1957,  1966,
-  1974,  1981,  79,  1657,  3362,  3582,  1723,  3407,
-  6211,  3627,  3802,  3847,  1789,  3443,  6247,  3663,
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-  3712,  6416,  6744,  3932,  6500,  6828,  7037,  4152,
-  6556,  6884,  7093,  7218,  4372,  4462,  4507,  4543,
-  4571,  4592,  1987,  2530,  4652,  2651,  4661,  4706,
-  2761,  4669,  4714,  4750,  2860,  4676,  4721,  4757,
-  4785,  2948,  4682,  4727,  4763,  4791,  4812,  3025,
-  2013,  2023,  2032,  2040,  2047,  2053,  91,  1662,
-  3367,  3587,  1728,  3412,  6216,  3632,  3807,  3852,
-  1794,  3448,  6252,  3668,  6372,  6700,  3888,  4027,
-  4072,  4108,  1860,  3476,  6280,  3696,  6400,  6728,
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-  4356,  1926,  3497,  6301,  3717,  6421,  6749,  3937,
-  6505,  6833,  7042,  4157,  6561,  6889,  7098,  7223,
-  4377,  4467,  4512,  4548,  4576,  4597,  1992,  3512,
-  6316,  3732,  6436,  6764,  3952,  6520,  6848,  7057,
-  4172,  6576,  6904,  7113,  7238,  4392,  6611,  6939,
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-  2089,  2098,  2106,  2113,  2119,  2124,  103,  1666,
-  3371,  3591,  1732,  3416,  6220,  3636,  3811,  3856,
-  1798,  3452,  6256,  3672,  6376,  6704,  3892,  4031,
-  4076,  4112,  1864,  3480,  6284,  3700,  6404,  6732,
-  3920,  6488,  6816,  7025,  4140,  4251,  4296,  4332,
-  4360,  1930,  3501,  6305,  3721,  6425,  6753,  3941,
-  6509,  6837,  7046,  4161,  6565,  6893,  7102,  7227,
-  4381,  4471,  4516,  4552,  4580,  4601,  1996,  3516,
-  6320,  3736,  6440,  6768,  3956,  6524,  6852,  7061,
-  4176,  6580,  6908,  7117,  7242,  4396,  6615,  6943,
-  7152,  7277,  7346,  4616,  4691,  4736,  4772,  4800,
-  4821,  4836,  2062,  3526,  6330,  3746,  6450,  6778,
-  3966,  6534,  6862,  7071,  4186,  6590,  6918,  7127,
-  7252,  4406,  6625,  6953,  7162,  7287,  7356,  4626,
-  6645,  6973,  7182,  7307,  7376,  1605,  4846,  4911,
-  4956,  4992,  5020,  5041,  5056,  5066,  2128,  2552,
-  5092,  2673,  5101,  5146,  2783,  5109,  5154,  5190,
-  2882,  5116,  5161,  5197,  5225,  2970,  5122,  5167,
-  5203,  5231,  5252,  3047,  5127,  5172,  5208,  5236,
-  5257,  5272,  3113,  5131,  5176,  5212,  5240,  5261,
-  5276,  5286,  3168,  2145,  2155,  2164,  2172,  2179,
-  2185,  2190,  2194,  115,  175,  2556,  2677,  187,
-  2557,  5306,  2678,  2787,  2788,  199,  2558,  5307,
-  2679,  5316,  5361,  2789,  2886,  2887,  2888,  211,
-  2559,  5308,  2680,  5317,  5362,  2790,  5325,  5370,
-  5406,  2889,  2974,  2975,  2976,  2977,  223,  2560,
-  5309,  2681,  5318,  5363,  2791,  5326,  5371,  5407,
-  2890,  5333,  5378,  5414,  5442,  2978,  3051,  3052,
-  3053,  3054,  3055,  235,  2561,  5310,  2682,  5319,
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-  2562,  5311,  2683,  5320,  5365,  2793,  5328,  5373,
-  5409,  2892,  5335,  5380,  5416,  5444,  2980,  5341,
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-  5455,  5476,  5491,  3123,  3172,  3173,  3174,  3175,
-  3176,  3177,  3178,  259,  2563,  5312,  2684,  5321,
-  5366,  2794,  5329,  5374,  5410,  2893,  5336,  5381,
-  5417,  5445,  2981,  5342,  5387,  5423,  5451,  5472,
-  3058,  5347,  5392,  5428,  5456,  5477,  5492,  3124,
-  5351,  5396,  5432,  5460,  5481,  5496,  5506,  3179,
-  3216,  3217,  3218,  3219,  3220,  3221,  3222,  3223,
-  271,  275,  2204,  276,  2205,  2215,  277,  2206,
-  2216,  2225,  278,  2207,  2217,  2226,  2234,  279,
-  2208,  2218,  2227,  2235,  2242,  280,  2209,  2219,
-  2228,  2236,  2243,  2249,  281,  2210,  2220,  2229,
-  2237,  2244,  2250,  2255,  282,  2211,  2221,  2230,
-  2238,  2245,  2251,  2256,  2260,  283,  119,  120,
-  121,  122,  123,  124,  125,  126,  127,  20,
-  1618,  2476,  1684,  32,  1628,  3333,  3553,  1694,
-  2487,  3773,  2608,  1750,  1760,  44,  1637,  3342,
-  3562,  1703,  3387,  6191,  3607,  3782,  3827,  1769,
-  2498,  3993,  2619,  4002,  4047,  2729,  1816,  1826,
-  1835,  56,  1645,  3350,  3570,  1711,  3395,  6199,
-  3615,  3790,  3835,  1777,  3431,  6235,  3651,  6355,
-  6683,  3871,  4010,  4055,  4091,  1843,  2509,  4213,
-  2630,  4222,  4267,  2740,  4230,  4275,  4311,  2839,
-  1882,  1892,  1901,  1909,  68,  1652,  3357,  3577,
-  1718,  3402,  6206,  3622,  3797,  3842,  1784,  3438,
-  6242,  3658,  6362,  6690,  3878,  4017,  4062,  4098,
-  1850,  3466,  6270,  3686,  6390,  6718,  3906,  6474,
-  6802,  7011,  4126,  4237,  4282,  4318,  4346,  1916,
-  2520,  4433,  2641,  4442,  4487,  2751,  4450,  4495,
-  4531,  2850,  4457,  4502,  4538,  4566,  2938,  1948,
-  1958,  1967,  1975,  1982,  80,  1658,  3363,  3583,
-  1724,  3408,  6212,  3628,  3803,  3848,  1790,  3444,
-  6248,  3664,  6368,  6696,  3884,  4023,  4068,  4104,
-  1856,  3472,  6276,  3692,  6396,  6724,  3912,  6480,
-  6808,  7017,  4132,  4243,  4288,  4324,  4352,  1922,
-  3493,  6297,  3713,  6417,  6745,  3933,  6501,  6829,
-  7038,  4153,  6557,  6885,  7094,  7219,  4373,  4463,
-  4508,  4544,  4572,  4593,  1988,  2531,  4653,  2652,
-  4662,  4707,  2762,  4670,  4715,  4751,  2861,  4677,
-  4722,  4758,  4786,  2949,  4683,  4728,  4764,  4792,
-  4813,  3026,  2014,  2024,  2033,  2041,  2048,  2054,
-  92,  1663,  3368,  3588,  1729,  3413,  6217,  3633,
-  3808,  3853,  1795,  3449,  6253,  3669,  6373,  6701,
-  3889,  4028,  4073,  4109,  1861,  3477,  6281,  3697,
-  6401,  6729,  3917,  6485,  6813,  7022,  4137,  4248,
-  4293,  4329,  4357,  1927,  3498,  6302,  3718,  6422,
-  6750,  3938,  6506,  6834,  7043,  4158,  6562,  6890,
-  7099,  7224,  4378,  4468,  4513,  4549,  4577,  4598,
-  1993,  3513,  6317,  3733,  6437,  6765,  3953,  6521,
-  6849,  7058,  4173,  6577,  6905,  7114,  7239,  4393,
-  6612,  6940,  7149,  7274,  7343,  4613,  4688,  4733,
-  4769,  4797,  4818,  4833,  2059,  2542,  4873,  2663,
-  4882,  4927,  2773,  4890,  4935,  4971,  2872,  4897,
-  4942,  4978,  5006,  2960,  4903,  4948,  4984,  5012,
-  5033,  3037,  4908,  4953,  4989,  5017,  5038,  5053,
-  3103,  2080,  2090,  2099,  2107,  2114,  2120,  2125,
-  104,  1667,  3372,  3592,  1733,  3417,  6221,  3637,
-  3812,  3857,  1799,  3453,  6257,  3673,  6377,  6705,
-  3893,  4032,  4077,  4113,  1865,  3481,  6285,  3701,
-  6405,  6733,  3921,  6489,  6817,  7026,  4141,  4252,
-  4297,  4333,  4361,  1931,  3502,  6306,  3722,  6426,
-  6754,  3942,  6510,  6838,  7047,  4162,  6566,  6894,
-  7103,  7228,  4382,  4472,  4517,  4553,  4581,  4602,
-  1997,  3517,  6321,  3737,  6441,  6769,  3957,  6525,
-  6853,  7062,  4177,  6581,  6909,  7118,  7243,  4397,
-  6616,  6944,  7153,  7278,  7347,  4617,  4692,  4737,
-  4773,  4801,  4822,  4837,  2063,  3527,  6331,  3747,
-  6451,  6779,  3967,  6535,  6863,  7072,  4187,  6591,
-  6919,  7128,  7253,  4407,  6626,  6954,  7163,  7288,
-  7357,  4627,  6646,  6974,  7183,  7308,  7377,  7411,
-  4847,  4912,  4957,  4993,  5021,  5042,  5057,  5067,
-  2129,  2553,  5093,  2674,  5102,  5147,  2784,  5110,
-  5155,  5191,  2883,  5117,  5162,  5198,  5226,  2971,
-  5123,  5168,  5204,  5232,  5253,  3048,  5128,  5173,
-  5209,  5237,  5258,  5273,  3114,  5132,  5177,  5213,
-  5241,  5262,  5277,  5287,  3169,  2146,  2156,  2165,
-  2173,  2180,  2186,  2191,  2195,  116,  1609,  1609,
-  1609,  1736,  1609,  1609,  3640,  1609,  3860,  1802,
-  1609,  1609,  3676,  1609,  6708,  3896,  1609,  4080,
-  4116,  1868,  1609,  1609,  3704,  1609,  6736,  3924,
-  1609,  6820,  7029,  4144,  1609,  4300,  4336,  4364,
-  1934,  1609,  1609,  3725,  1609,  6757,  3945,  1609,
-  6841,  7050,  4165,  1609,  6897,  7106,  7231,  4385,
-  1609,  4520,  4556,  4584,  4605,  2000,  1609,  1609,
-  3740,  1609,  6772,  3960,  1609,  6856,  7065,  4180,
-  1609,  6912,  7121,  7246,  4400,  1609,  6947,  7156,
-  7281,  7350,  4620,  1609,  4740,  4776,  4804,  4825,
-  4840,  2066,  1609,  1609,  3750,  1609,  6782,  3970,
-  1609,  6866,  7075,  4190,  1609,  6922,  7131,  7256,
-  4410,  1609,  6957,  7166,  7291,  7360,  4630,  1609,
-  6977,  7186,  7311,  7380,  7414,  4850,  1609,  4960,
-  4996,  5024,  5045,  5060,  5070,  2132,  1608,  1608,
-  1608,  1608,  1608,  1608,  1608,  1608,  1608,  1608,
-  1608,  1608,  1608,  1608,  1608,  1608,  1608,  1608,
-  1608,  1608,  1608,  1608,  1608,  1608,  1608,  1608,
-  1608,  1608,  1607,  1607,  1607,  1607,  1607,  1607,
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+    4500, 4536, 4564, 2936, 1946, 1956, 1965, 1973, 1980, 78,   1656, 3361,
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+    6415, 6743, 3931, 6499, 6827, 7036, 4151, 6555, 6883, 7092, 7217, 4371,
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+    4680, 4725, 4761, 4789, 4810, 3023, 2011, 2021, 2030, 2038, 2045, 2051,
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+    6353, 6681, 3869, 4008, 4053, 4089, 1841, 2507, 4211, 2628, 4220, 4265,
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+    3575, 1716, 3400, 6204, 3620, 3795, 3840, 1782, 3436, 6240, 3656, 6360,
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+    4440, 4485, 2749, 4448, 4493, 4529, 2848, 4455, 4500, 4536, 4564, 2936,
+    1946, 1956, 1965, 1973, 1980, 78,   1656, 3361, 3581, 1722, 3406, 6210,
+    3626, 3801, 3846, 1788, 3442, 6246, 3662, 6366, 6694, 3882, 4021, 4066,
+    4102, 1854, 3470, 6274, 3690, 6394, 6722, 3910, 6478, 6806, 7015, 4130,
+    4241, 4286, 4322, 4350, 1920, 3491, 6295, 3711, 6415, 6743, 3931, 6499,
+    6827, 7036, 4151, 6555, 6883, 7092, 7217, 4371, 4461, 4506, 4542, 4570,
+    4591, 1986, 2529, 4651, 2650, 4660, 4705, 2760, 4668, 4713, 4749, 2859,
+    4675, 4720, 4756, 4784, 2947, 4681, 4726, 4762, 4790, 4811, 3024, 2012,
+    2022, 2031, 2039, 2046, 2052, 90,   1661, 3366, 3586, 1727, 3411, 6215,
+    3631, 3806, 3851, 1793, 3447, 6251, 3667, 6371, 6699, 3887, 4026, 4071,
+    4107, 1859, 3475, 6279, 3695, 6399, 6727, 3915, 6483, 6811, 7020, 4135,
+    4246, 4291, 4327, 4355, 1925, 3496, 6300, 3716, 6420, 6748, 3936, 6504,
+    6832, 7041, 4156, 6560, 6888, 7097, 7222, 4376, 4466, 4511, 4547, 4575,
+    4596, 1991, 3511, 6315, 3731, 6435, 6763, 3951, 6519, 6847, 7056, 4171,
+    6575, 6903, 7112, 7237, 4391, 1605, 1605, 1605, 1605, 1604, 1605, 4686,
+    4731, 4767, 4795, 4816, 1605, 2057, 2540, 4871, 2661, 4880, 4925, 2771,
+    4888, 4933, 4969, 2870, 4895, 4940, 4976, 5004, 2958, 4901, 4946, 4982,
+    5010, 5031, 3035, 4906, 4951, 4987, 5015, 5036, 1605, 3101, 2078, 2088,
+    2097, 2105, 2112, 2118, 2123, 102,  174,  2545, 2666, 186,  2546, 5086,
+    2667, 2776, 2777, 198,  2547, 5087, 2668, 5096, 5141, 2778, 2875, 2876,
+    2877, 210,  2548, 5088, 2669, 5097, 5142, 2779, 5105, 5150, 5186, 2878,
+    2963, 2964, 2965, 2966, 222,  2549, 5089, 2670, 5098, 5143, 2780, 5106,
+    5151, 5187, 2879, 5113, 5158, 5194, 5222, 2967, 3040, 3041, 3042, 3043,
+    3044, 234,  2550, 5090, 2671, 5099, 5144, 2781, 5107, 5152, 5188, 2880,
+    5114, 5159, 5195, 5223, 2968, 5120, 5165, 5201, 5229, 5250, 3045, 3106,
+    3107, 3108, 3109, 3110, 3111, 246,  2551, 5091, 2672, 5100, 5145, 2782,
+    5108, 5153, 5189, 2881, 5115, 5160, 5196, 5224, 2969, 5121, 5166, 5202,
+    5230, 5251, 3046, 5126, 5171, 5207, 5235, 5256, 1605, 3112, 3161, 3162,
+    3163, 3164, 3165, 3166, 3167, 258,  263,  2138, 264,  2139, 2149, 265,
+    2140, 2150, 2159, 266,  2141, 2151, 2160, 2168, 267,  2142, 2152, 2161,
+    2169, 2176, 268,  2143, 2153, 2162, 2170, 2177, 2183, 269,  2144, 2154,
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+    2787, 2607, 199,  199,  43,   175,  2556, 2677, 187,  2557, 5306, 2678,
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+    3051, 2640, 3051, 3052, 2750, 3051, 3052, 3053, 2849, 3051, 3052, 3053,
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+    2557, 5306, 2678, 2787, 2788, 199,  2558, 5307, 2679, 5316, 5361, 2789,
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+    2791, 5326, 5371, 5407, 2890, 5333, 5378, 5414, 5442, 2978, 3051, 3052,
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+    3173, 3174, 3175, 3176, 3036, 3172, 3173, 3174, 3175, 3176, 3177, 3102,
+    259,  259,  259,  259,  259,  259,  259,  103,  175,  2556, 2677, 187,
+    2557, 5306, 2678, 2787, 2788, 199,  2558, 5307, 2679, 5316, 5361, 2789,
+    2886, 2887, 2888, 211,  2559, 5308, 2680, 5317, 5362, 2790, 5325, 5370,
+    5406, 2889, 2974, 2975, 2976, 2977, 223,  2560, 5309, 2681, 5318, 5363,
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+    5408, 2891, 5334, 5379, 5415, 5443, 2979, 5340, 5385, 5421, 5449, 5470,
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+    5386, 5422, 5450, 5471, 3057, 5346, 5391, 5427, 5455, 5476, 1605, 3123,
+    3172, 3173, 3174, 3175, 3176, 3177, 3178, 259,  2552, 3216, 2673, 3216,
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+    3216, 3217, 3218, 3219, 3220, 3221, 3222, 3168, 271,  271,  271,  271,
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+    2225, 278,  2207, 2217, 2226, 2234, 279,  280,  280,  280,  280,  280,
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+    281,  281,  281,  281,  247,  275,  2204, 276,  2205, 2215, 277,  2206,
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+    2242, 280,  2209, 2219, 2228, 2236, 2243, 2249, 281,  282,  282,  282,
+    282,  282,  282,  282,  259,  275,  2204, 276,  2205, 2215, 277,  2206,
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+    2242, 280,  2209, 2219, 2228, 2236, 2243, 2249, 281,  2210, 2220, 2229,
+    2237, 2244, 2250, 2255, 282,  283,  283,  283,  283,  283,  283,  283,
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+    125,  126,  119,  120,  121,  122,  123,  124,  125,  126,  127,  11,
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+    3546, 1687, 2480, 3766, 2601, 1743, 1753, 37,   169,  2490, 2611, 181,
+    2491, 3986, 2612, 2721, 2722, 193,  203,  1808, 204,  1809, 1819, 205,
+    47,   48,   49,   14,   1612, 2470, 1678, 26,   1622, 3327, 3547, 1688,
+    2481, 3767, 2602, 1744, 1754, 38,   1631, 3336, 3556, 1697, 3381, 1600,
+    3601, 3776, 3821, 1763, 2492, 3987, 2613, 3996, 4041, 2723, 1810, 1820,
+    1829, 50,   170,  2501, 2622, 182,  2502, 4206, 2623, 2732, 2733, 194,
+    2503, 4207, 2624, 4216, 4261, 2734, 2831, 2832, 2833, 206,  215,  1874,
+    216,  1875, 1885, 217,  1876, 1886, 1895, 218,  59,   60,   61,   62,
+    15,   1613, 2471, 1679, 27,   1623, 3328, 3548, 1689, 2482, 3768, 2603,
+    1745, 1755, 39,   1632, 3337, 3557, 1698, 3382, 6186, 3602, 3777, 3822,
+    1764, 2493, 3988, 2614, 3997, 4042, 2724, 1811, 1821, 1830, 51,   1640,
+    3345, 3565, 1706, 3390, 6194, 3610, 3785, 3830, 1772, 3426, 6230, 3646,
+    6350, 1601, 3866, 4005, 4050, 4086, 1838, 2504, 4208, 2625, 4217, 4262,
+    2735, 4225, 4270, 4306, 2834, 1877, 1887, 1896, 1904, 63,   171,  2512,
+    2633, 183,  2513, 4426, 2634, 2743, 2744, 195,  2514, 4427, 2635, 4436,
+    4481, 2745, 2842, 2843, 2844, 207,  2515, 4428, 2636, 4437, 4482, 2746,
+    4445, 4490, 4526, 2845, 2930, 2931, 2932, 2933, 219,  227,  1940, 228,
+    1941, 1951, 229,  1942, 1952, 1961, 230,  1943, 1953, 1962, 1970, 231,
+    71,   72,   73,   74,   75,   16,   1614, 2472, 1680, 28,   1624, 3329,
+    3549, 1690, 2483, 3769, 2604, 1746, 1756, 40,   1633, 3338, 3558, 1699,
+    3383, 6187, 3603, 3778, 3823, 1765, 2494, 3989, 2615, 3998, 4043, 2725,
+    1812, 1822, 1831, 52,   1641, 3346, 3566, 1707, 3391, 6195, 3611, 3786,
+    3831, 1773, 3427, 6231, 3647, 6351, 6679, 3867, 4006, 4051, 4087, 1839,
+    2505, 4209, 2626, 4218, 4263, 2736, 4226, 4271, 4307, 2835, 1878, 1888,
+    1897, 1905, 64,   1648, 3353, 3573, 1714, 3398, 6202, 3618, 3793, 3838,
+    1780, 3434, 6238, 3654, 6358, 6686, 3874, 4013, 4058, 4094, 1846, 3462,
+    6266, 3682, 6386, 6714, 3902, 6470, 6798, 1602, 4122, 4233, 4278, 4314,
+    4342, 1912, 2516, 4429, 2637, 4438, 4483, 2747, 4446, 4491, 4527, 2846,
+    4453, 4498, 4534, 4562, 2934, 1944, 1954, 1963, 1971, 1978, 76,   172,
+    2523, 2644, 184,  2524, 4646, 2645, 2754, 2755, 196,  2525, 4647, 2646,
+    4656, 4701, 2756, 2853, 2854, 2855, 208,  2526, 4648, 2647, 4657, 4702,
+    2757, 4665, 4710, 4746, 2856, 2941, 2942, 2943, 2944, 220,  2527, 4649,
+    2648, 4658, 4703, 2758, 4666, 4711, 4747, 2857, 4673, 4718, 4754, 4782,
+    2945, 3018, 3019, 3020, 3021, 3022, 232,  239,  2006, 240,  2007, 2017,
+    241,  2008, 2018, 2027, 242,  2009, 2019, 2028, 2036, 243,  2010, 2020,
+    2029, 2037, 2044, 244,  83,   84,   85,   86,   87,   88,   17,   1615,
+    2473, 1681, 29,   1625, 3330, 3550, 1691, 2484, 3770, 2605, 1747, 1757,
+    41,   1634, 3339, 3559, 1700, 3384, 6188, 3604, 3779, 3824, 1766, 2495,
+    3990, 2616, 3999, 4044, 2726, 1813, 1823, 1832, 53,   1642, 3347, 3567,
+    1708, 3392, 6196, 3612, 3787, 3832, 1774, 3428, 6232, 3648, 6352, 6680,
+    3868, 4007, 4052, 4088, 1840, 2506, 4210, 2627, 4219, 4264, 2737, 4227,
+    4272, 4308, 2836, 1879, 1889, 1898, 1906, 65,   1649, 3354, 3574, 1715,
+    3399, 6203, 3619, 3794, 3839, 1781, 3435, 6239, 3655, 6359, 6687, 3875,
+    4014, 4059, 4095, 1847, 3463, 6267, 3683, 6387, 6715, 3903, 6471, 6799,
+    7008, 4123, 4234, 4279, 4315, 4343, 1913, 2517, 4430, 2638, 4439, 4484,
+    2748, 4447, 4492, 4528, 2847, 4454, 4499, 4535, 4563, 2935, 1945, 1955,
+    1964, 1972, 1979, 77,   1655, 3360, 3580, 1721, 3405, 6209, 3625, 3800,
+    3845, 1787, 3441, 6245, 3661, 6365, 6693, 3881, 4020, 4065, 4101, 1853,
+    3469, 6273, 3689, 6393, 6721, 3909, 6477, 6805, 7014, 4129, 4240, 4285,
+    4321, 4349, 1919, 3490, 6294, 3710, 6414, 6742, 3930, 6498, 6826, 7035,
+    4150, 6554, 6882, 7091, 1603, 4370, 4460, 4505, 4541, 4569, 4590, 1985,
+    2528, 4650, 2649, 4659, 4704, 2759, 4667, 4712, 4748, 2858, 4674, 4719,
+    4755, 4783, 2946, 4680, 4725, 4761, 4789, 4810, 3023, 2011, 2021, 2030,
+    2038, 2045, 2051, 89,   173,  2534, 2655, 185,  2535, 4866, 2656, 2765,
+    2766, 197,  2536, 4867, 2657, 4876, 4921, 2767, 2864, 2865, 2866, 209,
+    2537, 4868, 2658, 4877, 4922, 2768, 4885, 4930, 4966, 2867, 2952, 2953,
+    2954, 2955, 221,  2538, 4869, 2659, 4878, 4923, 2769, 4886, 4931, 4967,
+    2868, 4893, 4938, 4974, 5002, 2956, 3029, 3030, 3031, 3032, 3033, 233,
+    2539, 4870, 2660, 4879, 4924, 2770, 4887, 4932, 4968, 2869, 4894, 4939,
+    4975, 5003, 2957, 4900, 4945, 4981, 5009, 5030, 3034, 3095, 3096, 3097,
+    3098, 3099, 3100, 245,  251,  2072, 252,  2073, 2083, 253,  2074, 2084,
+    2093, 254,  2075, 2085, 2094, 2102, 255,  2076, 2086, 2095, 2103, 2110,
+    256,  2077, 2087, 2096, 2104, 2111, 2117, 257,  95,   96,   97,   98,
+    99,   100,  101,  18,   1616, 2474, 1682, 30,   1626, 3331, 3551, 1692,
+    2485, 3771, 2606, 1748, 1758, 42,   1635, 3340, 3560, 1701, 3385, 6189,
+    3605, 3780, 3825, 1767, 2496, 3991, 2617, 4000, 4045, 2727, 1814, 1824,
+    1833, 54,   1643, 3348, 3568, 1709, 3393, 6197, 3613, 3788, 3833, 1775,
+    3429, 6233, 3649, 6353, 6681, 3869, 4008, 4053, 4089, 1841, 2507, 4211,
+    2628, 4220, 4265, 2738, 4228, 4273, 4309, 2837, 1880, 1890, 1899, 1907,
+    66,   1650, 3355, 3575, 1716, 3400, 6204, 3620, 3795, 3840, 1782, 3436,
+    6240, 3656, 6360, 6688, 3876, 4015, 4060, 4096, 1848, 3464, 6268, 3684,
+    6388, 6716, 3904, 6472, 6800, 7009, 4124, 4235, 4280, 4316, 4344, 1914,
+    2518, 4431, 2639, 4440, 4485, 2749, 4448, 4493, 4529, 2848, 4455, 4500,
+    4536, 4564, 2936, 1946, 1956, 1965, 1973, 1980, 78,   1656, 3361, 3581,
+    1722, 3406, 6210, 3626, 3801, 3846, 1788, 3442, 6246, 3662, 6366, 6694,
+    3882, 4021, 4066, 4102, 1854, 3470, 6274, 3690, 6394, 6722, 3910, 6478,
+    6806, 7015, 4130, 4241, 4286, 4322, 4350, 1920, 3491, 6295, 3711, 6415,
+    6743, 3931, 6499, 6827, 7036, 4151, 6555, 6883, 7092, 7217, 4371, 4461,
+    4506, 4542, 4570, 4591, 1986, 2529, 4651, 2650, 4660, 4705, 2760, 4668,
+    4713, 4749, 2859, 4675, 4720, 4756, 4784, 2947, 4681, 4726, 4762, 4790,
+    4811, 3024, 2012, 2022, 2031, 2039, 2046, 2052, 90,   1661, 3366, 3586,
+    1727, 3411, 6215, 3631, 3806, 3851, 1793, 3447, 6251, 3667, 6371, 6699,
+    3887, 4026, 4071, 4107, 1859, 3475, 6279, 3695, 6399, 6727, 3915, 6483,
+    6811, 7020, 4135, 4246, 4291, 4327, 4355, 1925, 3496, 6300, 3716, 6420,
+    6748, 3936, 6504, 6832, 7041, 4156, 6560, 6888, 7097, 7222, 4376, 4466,
+    4511, 4547, 4575, 4596, 1991, 3511, 6315, 3731, 6435, 6763, 3951, 6519,
+    6847, 7056, 4171, 6575, 6903, 7112, 7237, 4391, 6610, 6938, 7147, 7272,
+    1604, 4611, 4686, 4731, 4767, 4795, 4816, 4831, 2057, 2540, 4871, 2661,
+    4880, 4925, 2771, 4888, 4933, 4969, 2870, 4895, 4940, 4976, 5004, 2958,
+    4901, 4946, 4982, 5010, 5031, 3035, 4906, 4951, 4987, 5015, 5036, 5051,
+    3101, 2078, 2088, 2097, 2105, 2112, 2118, 2123, 102,  174,  2545, 2666,
+    186,  2546, 5086, 2667, 2776, 2777, 198,  2547, 5087, 2668, 5096, 5141,
+    2778, 2875, 2876, 2877, 210,  2548, 5088, 2669, 5097, 5142, 2779, 5105,
+    5150, 5186, 2878, 2963, 2964, 2965, 2966, 222,  2549, 5089, 2670, 5098,
+    5143, 2780, 5106, 5151, 5187, 2879, 5113, 5158, 5194, 5222, 2967, 3040,
+    3041, 3042, 3043, 3044, 234,  2550, 5090, 2671, 5099, 5144, 2781, 5107,
+    5152, 5188, 2880, 5114, 5159, 5195, 5223, 2968, 5120, 5165, 5201, 5229,
+    5250, 3045, 3106, 3107, 3108, 3109, 3110, 3111, 246,  2551, 5091, 2672,
+    5100, 5145, 2782, 5108, 5153, 5189, 2881, 5115, 5160, 5196, 5224, 2969,
+    5121, 5166, 5202, 5230, 5251, 3046, 5126, 5171, 5207, 5235, 5256, 5271,
+    3112, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 258,  263,  2138, 264,
+    2139, 2149, 265,  2140, 2150, 2159, 266,  2141, 2151, 2160, 2168, 267,
+    2142, 2152, 2161, 2169, 2176, 268,  2143, 2153, 2162, 2170, 2177, 2183,
+    269,  2144, 2154, 2163, 2171, 2178, 2184, 2189, 270,  107,  108,  109,
+    110,  111,  112,  113,  114,  19,   1617, 2475, 1683, 31,   1627, 3332,
+    3552, 1693, 2486, 3772, 2607, 1749, 1759, 43,   1636, 3341, 3561, 1702,
+    3386, 6190, 3606, 3781, 3826, 1768, 2497, 3992, 2618, 4001, 4046, 2728,
+    1815, 1825, 1834, 55,   1644, 3349, 3569, 1710, 3394, 6198, 3614, 3789,
+    3834, 1776, 3430, 6234, 3650, 6354, 6682, 3870, 4009, 4054, 4090, 1842,
+    2508, 4212, 2629, 4221, 4266, 2739, 4229, 4274, 4310, 2838, 1881, 1891,
+    1900, 1908, 67,   1651, 3356, 3576, 1717, 3401, 6205, 3621, 3796, 3841,
+    1783, 3437, 6241, 3657, 6361, 6689, 3877, 4016, 4061, 4097, 1849, 3465,
+    6269, 3685, 6389, 6717, 3905, 6473, 6801, 7010, 4125, 4236, 4281, 4317,
+    4345, 1915, 2519, 4432, 2640, 4441, 4486, 2750, 4449, 4494, 4530, 2849,
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+    1632, 3337, 3557, 1698, 3382, 6186, 3602, 3777, 3822, 1764, 2493, 3988,
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+    3390, 6194, 3610, 3785, 3830, 1772, 3426, 6230, 3646, 6350, 1601, 3866,
+    4005, 4050, 4086, 1838, 2504, 4208, 2625, 4217, 4262, 2735, 4225, 4270,
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+    2845, 2930, 2931, 2932, 2933, 219,  227,  1940, 228,  1941, 1951, 229,
+    1942, 1952, 1961, 230,  1943, 1953, 1962, 1970, 231,  71,   72,   73,
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+    1648, 3353, 3573, 1714, 3398, 6202, 3618, 3793, 3838, 1780, 3434, 6238,
+    3654, 6358, 6686, 3874, 4013, 4058, 4094, 1846, 3462, 6266, 3682, 6386,
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+    4746, 2856, 2941, 2942, 2943, 2944, 220,  2527, 4649, 2648, 4658, 4703,
+    2758, 4666, 4711, 4747, 2857, 4673, 4718, 4754, 4782, 2945, 3018, 3019,
+    3020, 3021, 3022, 232,  239,  2006, 240,  2007, 2017, 241,  2008, 2018,
+    2027, 242,  2009, 2019, 2028, 2036, 243,  2010, 2020, 2029, 2037, 2044,
+    244,  83,   84,   85,   86,   87,   88,   17,   1615, 2473, 1681, 29,
+    1625, 3330, 3550, 1691, 2484, 3770, 2605, 1747, 1757, 41,   1634, 3339,
+    3559, 1700, 3384, 6188, 3604, 3779, 3824, 1766, 2495, 3990, 2616, 3999,
+    4044, 2726, 1813, 1823, 1832, 53,   1642, 3347, 3567, 1708, 3392, 6196,
+    3612, 3787, 3832, 1774, 3428, 6232, 3648, 6352, 6680, 3868, 4007, 4052,
+    4088, 1840, 2506, 4210, 2627, 4219, 4264, 2737, 4227, 4272, 4308, 2836,
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+    3794, 3839, 1781, 3435, 6239, 3655, 6359, 6687, 3875, 4014, 4059, 4095,
+    1847, 3463, 6267, 3683, 6387, 6715, 3903, 6471, 6799, 7008, 4123, 4234,
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+    4528, 2847, 4454, 4499, 4535, 4563, 2935, 1945, 1955, 1964, 1972, 1979,
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+    4659, 4704, 2759, 4667, 4712, 4748, 2858, 4674, 4719, 4755, 4783, 2946,
+    4680, 4725, 4761, 4789, 1604, 3023, 2011, 2021, 2030, 2038, 2045, 2051,
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+    2085, 2094, 2102, 255,  2076, 2086, 2095, 2103, 2110, 256,  2077, 2087,
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+    198,  198,  42,   174,  2545, 2666, 186,  2546, 5086, 2667, 2776, 2777,
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+    2545, 2666, 186,  2546, 5086, 2667, 2776, 2777, 198,  2547, 5087, 2668,
+    5096, 5141, 2778, 2875, 2876, 2877, 210,  2507, 2963, 2628, 2963, 2964,
+    2738, 2963, 2964, 2965, 2837, 222,  222,  222,  222,  66,   174,  2545,
+    2666, 186,  2546, 5086, 2667, 2776, 2777, 198,  2547, 5087, 2668, 5096,
+    5141, 2778, 2875, 2876, 2877, 210,  2548, 5088, 2669, 5097, 5142, 2779,
+    5105, 5150, 5186, 2878, 2963, 2964, 2965, 2966, 222,  2518, 3040, 2639,
+    3040, 3041, 2749, 3040, 3041, 3042, 2848, 3040, 3041, 3042, 3043, 2936,
+    234,  234,  234,  234,  234,  78,   174,  2545, 2666, 186,  2546, 5086,
+    2667, 2776, 2777, 198,  2547, 5087, 2668, 5096, 5141, 2778, 2875, 2876,
+    2877, 210,  2548, 5088, 2669, 5097, 5142, 2779, 5105, 5150, 5186, 2878,
+    2963, 2964, 2965, 2966, 222,  2549, 5089, 2670, 5098, 5143, 2780, 5106,
+    5151, 5187, 2879, 5113, 5158, 5194, 5222, 2967, 3040, 3041, 3042, 3043,
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+    3106, 3107, 3108, 3109, 2947, 3106, 3107, 3108, 3109, 3110, 3024, 246,
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+    2667, 2776, 2777, 198,  2547, 5087, 2668, 5096, 5141, 2778, 2875, 2876,
+    2877, 210,  2548, 5088, 2669, 5097, 5142, 2779, 5105, 5150, 5186, 2878,
+    2963, 2964, 2965, 2966, 222,  2549, 5089, 2670, 5098, 5143, 2780, 5106,
+    5151, 5187, 2879, 5113, 5158, 5194, 5222, 2967, 3040, 3041, 3042, 3043,
+    3044, 234,  2550, 5090, 2671, 5099, 5144, 2781, 5107, 5152, 5188, 2880,
+    5114, 5159, 5195, 5223, 2968, 5120, 5165, 5201, 5229, 1604, 3045, 3106,
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+    3161, 3162, 3163, 2870, 3161, 3162, 3163, 3164, 2958, 3161, 3162, 3163,
+    3164, 3165, 3035, 3161, 3162, 3163, 3164, 3165, 3166, 3101, 258,  258,
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+    264,  265,  265,  198,  263,  2138, 264,  2139, 2149, 265,  266,  266,
+    266,  210,  263,  2138, 264,  2139, 2149, 265,  2140, 2150, 2159, 266,
+    267,  267,  267,  267,  222,  263,  2138, 264,  2139, 2149, 265,  2140,
+    2150, 2159, 266,  2141, 2151, 2160, 2168, 267,  268,  268,  268,  268,
+    268,  234,  263,  2138, 264,  2139, 2149, 265,  2140, 2150, 2159, 266,
+    2141, 2151, 2160, 2168, 267,  2142, 2152, 2161, 2169, 2176, 268,  269,
+    269,  269,  269,  269,  269,  246,  263,  2138, 264,  2139, 2149, 265,
+    2140, 2150, 2159, 266,  2141, 2151, 2160, 2168, 267,  2142, 2152, 2161,
+    2169, 2176, 268,  2143, 2153, 2162, 2170, 2177, 2183, 269,  270,  270,
+    270,  270,  270,  270,  270,  258,  107,  107,  108,  107,  108,  109,
+    107,  108,  109,  110,  107,  108,  109,  110,  111,  107,  108,  109,
+    110,  111,  112,  107,  108,  109,  110,  111,  112,  113,  107,  108,
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+    2468, 1676, 24,   168,  2479, 2600, 180,  191,  1742, 192,  35,   36,
+    13,   1611, 2469, 1677, 25,   1621, 3326, 3546, 1687, 2480, 3766, 2601,
+    1743, 1753, 37,   169,  2490, 2611, 181,  2491, 3986, 2612, 2721, 2722,
+    193,  203,  1808, 204,  1809, 1819, 205,  47,   48,   49,   14,   1612,
+    2470, 1678, 26,   1622, 3327, 3547, 1688, 2481, 3767, 2602, 1744, 1754,
+    38,   1631, 3336, 3556, 1697, 3381, 1600, 3601, 3776, 3821, 1763, 2492,
+    3987, 2613, 3996, 4041, 2723, 1810, 1820, 1829, 50,   170,  2501, 2622,
+    182,  2502, 4206, 2623, 2732, 2733, 194,  2503, 4207, 2624, 4216, 4261,
+    2734, 2831, 2832, 2833, 206,  215,  1874, 216,  1875, 1885, 217,  1876,
+    1886, 1895, 218,  59,   60,   61,   62,   15,   1613, 2471, 1679, 27,
+    1623, 3328, 3548, 1689, 2482, 3768, 2603, 1745, 1755, 39,   1632, 3337,
+    3557, 1698, 3382, 6186, 3602, 3777, 3822, 1764, 2493, 3988, 2614, 3997,
+    4042, 2724, 1811, 1821, 1830, 51,   1640, 3345, 3565, 1706, 3390, 6194,
+    3610, 3785, 3830, 1772, 3426, 6230, 3646, 6350, 1601, 3866, 4005, 4050,
+    4086, 1838, 2504, 4208, 2625, 4217, 4262, 2735, 4225, 4270, 4306, 2834,
+    1877, 1887, 1896, 1904, 63,   171,  2512, 2633, 183,  2513, 4426, 2634,
+    2743, 2744, 195,  2514, 4427, 2635, 4436, 4481, 2745, 2842, 2843, 2844,
+    207,  2515, 4428, 2636, 4437, 4482, 2746, 4445, 4490, 4526, 2845, 2930,
+    2931, 2932, 2933, 219,  227,  1940, 228,  1941, 1951, 229,  1942, 1952,
+    1961, 230,  1943, 1953, 1962, 1970, 231,  71,   72,   73,   74,   75,
+    16,   1614, 2472, 1680, 28,   1624, 3329, 3549, 1690, 2483, 3769, 2604,
+    1746, 1756, 40,   1633, 3338, 3558, 1699, 3383, 6187, 3603, 3778, 3823,
+    1765, 2494, 3989, 2615, 3998, 4043, 2725, 1812, 1822, 1831, 52,   1641,
+    3346, 3566, 1707, 3391, 6195, 3611, 3786, 3831, 1773, 3427, 6231, 3647,
+    6351, 6679, 3867, 4006, 4051, 4087, 1839, 2505, 4209, 2626, 4218, 4263,
+    2736, 4226, 4271, 4307, 2835, 1878, 1888, 1897, 1905, 64,   1648, 3353,
+    3573, 1714, 3398, 6202, 3618, 3793, 3838, 1780, 3434, 6238, 3654, 6358,
+    6686, 3874, 4013, 4058, 4094, 1846, 3462, 6266, 3682, 6386, 6714, 3902,
+    6470, 6798, 1602, 4122, 4233, 4278, 4314, 4342, 1912, 2516, 4429, 2637,
+    4438, 4483, 2747, 4446, 4491, 4527, 2846, 4453, 4498, 4534, 4562, 2934,
+    1944, 1954, 1963, 1971, 1978, 76,   172,  2523, 2644, 184,  2524, 4646,
+    2645, 2754, 2755, 196,  2525, 4647, 2646, 4656, 4701, 2756, 2853, 2854,
+    2855, 208,  2526, 4648, 2647, 4657, 4702, 2757, 4665, 4710, 4746, 2856,
+    2941, 2942, 2943, 2944, 220,  2527, 4649, 2648, 4658, 4703, 2758, 4666,
+    4711, 4747, 2857, 4673, 4718, 4754, 4782, 2945, 3018, 3019, 3020, 3021,
+    3022, 232,  239,  2006, 240,  2007, 2017, 241,  2008, 2018, 2027, 242,
+    2009, 2019, 2028, 2036, 243,  2010, 2020, 2029, 2037, 2044, 244,  83,
+    84,   85,   86,   87,   88,   17,   1615, 2473, 1681, 29,   1625, 3330,
+    3550, 1691, 2484, 3770, 2605, 1747, 1757, 41,   1634, 3339, 3559, 1700,
+    3384, 6188, 3604, 3779, 3824, 1766, 2495, 3990, 2616, 3999, 4044, 2726,
+    1813, 1823, 1832, 53,   1642, 3347, 3567, 1708, 3392, 6196, 3612, 3787,
+    3832, 1774, 3428, 6232, 3648, 6352, 6680, 3868, 4007, 4052, 4088, 1840,
+    2506, 4210, 2627, 4219, 4264, 2737, 4227, 4272, 4308, 2836, 1879, 1889,
+    1898, 1906, 65,   1649, 3354, 3574, 1715, 3399, 6203, 3619, 3794, 3839,
+    1781, 3435, 6239, 3655, 6359, 6687, 3875, 4014, 4059, 4095, 1847, 3463,
+    6267, 3683, 6387, 6715, 3903, 6471, 6799, 7008, 4123, 4234, 4279, 4315,
+    4343, 1913, 2517, 4430, 2638, 4439, 4484, 2748, 4447, 4492, 4528, 2847,
+    4454, 4499, 4535, 4563, 2935, 1945, 1955, 1964, 1972, 1979, 77,   1655,
+    3360, 3580, 1721, 3405, 6209, 3625, 3800, 3845, 1787, 3441, 6245, 3661,
+    6365, 6693, 3881, 4020, 4065, 4101, 1853, 3469, 6273, 3689, 6393, 6721,
+    3909, 6477, 6805, 7014, 4129, 4240, 4285, 4321, 4349, 1919, 3490, 6294,
+    3710, 6414, 6742, 3930, 6498, 6826, 7035, 4150, 6554, 6882, 7091, 1603,
+    4370, 4460, 4505, 4541, 4569, 4590, 1985, 2528, 4650, 2649, 4659, 4704,
+    2759, 4667, 4712, 4748, 2858, 4674, 4719, 4755, 4783, 2946, 4680, 4725,
+    4761, 4789, 4810, 3023, 2011, 2021, 2030, 2038, 2045, 2051, 89,   173,
+    2534, 2655, 185,  2535, 4866, 2656, 2765, 2766, 197,  2536, 4867, 2657,
+    4876, 4921, 2767, 2864, 2865, 2866, 209,  2537, 4868, 2658, 4877, 4922,
+    2768, 4885, 4930, 4966, 2867, 2952, 2953, 2954, 2955, 221,  2538, 4869,
+    2659, 4878, 4923, 2769, 4886, 4931, 4967, 2868, 4893, 4938, 4974, 5002,
+    2956, 3029, 3030, 3031, 3032, 3033, 233,  2539, 4870, 2660, 4879, 4924,
+    2770, 4887, 4932, 4968, 2869, 4894, 4939, 4975, 5003, 2957, 4900, 4945,
+    4981, 5009, 5030, 3034, 3095, 3096, 3097, 3098, 3099, 3100, 245,  251,
+    2072, 252,  2073, 2083, 253,  2074, 2084, 2093, 254,  2075, 2085, 2094,
+    2102, 255,  2076, 2086, 2095, 2103, 2110, 256,  2077, 2087, 2096, 2104,
+    2111, 2117, 257,  95,   96,   97,   98,   99,   100,  101,  18,   1616,
+    2474, 1682, 30,   1626, 3331, 3551, 1692, 2485, 3771, 2606, 1748, 1758,
+    42,   1635, 3340, 3560, 1701, 3385, 6189, 3605, 3780, 3825, 1767, 2496,
+    3991, 2617, 4000, 4045, 2727, 1814, 1824, 1833, 54,   1643, 3348, 3568,
+    1709, 3393, 6197, 3613, 3788, 3833, 1775, 3429, 6233, 3649, 6353, 6681,
+    3869, 4008, 4053, 4089, 1841, 2507, 4211, 2628, 4220, 4265, 2738, 4228,
+    4273, 4309, 2837, 1880, 1890, 1899, 1907, 66,   1650, 3355, 3575, 1716,
+    3400, 6204, 3620, 3795, 3840, 1782, 3436, 6240, 3656, 6360, 6688, 3876,
+    4015, 4060, 4096, 1848, 3464, 6268, 3684, 6388, 6716, 3904, 6472, 6800,
+    7009, 4124, 4235, 4280, 4316, 4344, 1914, 2518, 4431, 2639, 4440, 4485,
+    2749, 4448, 4493, 4529, 2848, 4455, 4500, 4536, 4564, 2936, 1946, 1956,
+    1965, 1973, 1980, 78,   1656, 3361, 3581, 1722, 3406, 6210, 3626, 3801,
+    3846, 1788, 3442, 6246, 3662, 6366, 6694, 3882, 4021, 4066, 4102, 1854,
+    3470, 6274, 3690, 6394, 6722, 3910, 6478, 6806, 7015, 4130, 4241, 4286,
+    4322, 4350, 1920, 3491, 6295, 3711, 6415, 6743, 3931, 6499, 6827, 7036,
+    4151, 6555, 6883, 7092, 7217, 4371, 4461, 4506, 4542, 4570, 4591, 1986,
+    2529, 4651, 2650, 4660, 4705, 2760, 4668, 4713, 4749, 2859, 4675, 4720,
+    4756, 4784, 2947, 4681, 4726, 4762, 4790, 4811, 3024, 2012, 2022, 2031,
+    2039, 2046, 2052, 90,   1661, 3366, 3586, 1727, 3411, 6215, 3631, 3806,
+    3851, 1793, 3447, 6251, 3667, 6371, 6699, 3887, 4026, 4071, 4107, 1859,
+    3475, 6279, 3695, 6399, 6727, 3915, 6483, 6811, 7020, 4135, 4246, 4291,
+    4327, 4355, 1925, 3496, 6300, 3716, 6420, 6748, 3936, 6504, 6832, 7041,
+    4156, 6560, 6888, 7097, 7222, 4376, 4466, 4511, 4547, 4575, 4596, 1991,
+    3511, 6315, 3731, 6435, 6763, 3951, 6519, 6847, 7056, 4171, 6575, 6903,
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+    2878, 2963, 2964, 2965, 2966, 222,  2549, 5089, 2670, 5098, 5143, 2780,
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+    2880, 5114, 5159, 5195, 5223, 2968, 5120, 5165, 5201, 5229, 5250, 3045,
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+    5202, 5230, 5251, 3046, 5126, 5171, 5207, 5235, 5256, 5271, 3112, 3161,
+    3162, 3163, 3164, 3165, 3166, 3167, 258,  263,  2138, 264,  2139, 2149,
+    265,  2140, 2150, 2159, 266,  2141, 2151, 2160, 2168, 267,  2142, 2152,
+    2161, 2169, 2176, 268,  2143, 2153, 2162, 2170, 2177, 2183, 269,  2144,
+    2154, 2163, 2171, 2178, 2184, 2189, 270,  107,  108,  109,  110,  111,
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+    2486, 3772, 2607, 1749, 1759, 43,   1636, 3341, 3561, 1702, 3386, 6190,
+    3606, 3781, 3826, 1768, 2497, 3992, 2618, 4001, 4046, 2728, 1815, 1825,
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+    3430, 6234, 3650, 6354, 6682, 3870, 4009, 4054, 4090, 1842, 2508, 4212,
+    2629, 4221, 4266, 2739, 4229, 4274, 4310, 2838, 1881, 1891, 1900, 1908,
+    67,   1651, 3356, 3576, 1717, 3401, 6205, 3621, 3796, 3841, 1783, 3437,
+    6241, 3657, 6361, 6689, 3877, 4016, 4061, 4097, 1849, 3465, 6269, 3685,
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+    2519, 4432, 2640, 4441, 4486, 2750, 4449, 4494, 4530, 2849, 4456, 4501,
+    4537, 4565, 2937, 1947, 1957, 1966, 1974, 1981, 79,   1657, 3362, 3582,
+    1723, 3407, 6211, 3627, 3802, 3847, 1789, 3443, 6247, 3663, 6367, 6695,
+    3883, 4022, 4067, 4103, 1855, 3471, 6275, 3691, 6395, 6723, 3911, 6479,
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+    6744, 3932, 6500, 6828, 7037, 4152, 6556, 6884, 7093, 7218, 4372, 4462,
+    4507, 4543, 4571, 4592, 1987, 2530, 4652, 2651, 4661, 4706, 2761, 4669,
+    4714, 4750, 2860, 4676, 4721, 4757, 4785, 2948, 4682, 4727, 4763, 4791,
+    4812, 3025, 2013, 2023, 2032, 2040, 2047, 2053, 91,   1662, 3367, 3587,
+    1728, 3412, 6216, 3632, 3807, 3852, 1794, 3448, 6252, 3668, 6372, 6700,
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+    2086, 2095, 2103, 2110, 256,  2077, 2087, 2096, 2104, 2111, 2117, 257,
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+    4089, 1841, 2507, 4211, 2628, 4220, 4265, 2738, 4228, 4273, 4309, 2837,
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+    4529, 2848, 4455, 4500, 4536, 4564, 2936, 1946, 1956, 1965, 1973, 1980,
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+    4660, 4705, 2760, 4668, 4713, 4749, 2859, 4675, 4720, 4756, 4784, 2947,
+    4681, 4726, 4762, 4790, 4811, 3024, 2012, 2022, 2031, 2039, 2046, 2052,
+    90,   1661, 3366, 3586, 1727, 3411, 6215, 3631, 3806, 3851, 1793, 3447,
+    6251, 3667, 6371, 6699, 3887, 4026, 4071, 4107, 1859, 3475, 6279, 3695,
+    6399, 6727, 3915, 6483, 6811, 7020, 4135, 4246, 4291, 4327, 4355, 1925,
+    3496, 6300, 3716, 6420, 6748, 3936, 6504, 6832, 7041, 4156, 6560, 6888,
+    7097, 7222, 4376, 4466, 4511, 4547, 4575, 4596, 1991, 3511, 6315, 3731,
+    6435, 6763, 3951, 6519, 6847, 7056, 4171, 6575, 6903, 7112, 7237, 4391,
+    6610, 6938, 7147, 7272, 1604, 4611, 4686, 4731, 4767, 4795, 4816, 4831,
+    2057, 2540, 4871, 2661, 4880, 4925, 2771, 4888, 4933, 4969, 2870, 4895,
+    4940, 4976, 5004, 2958, 4901, 4946, 4982, 5010, 5031, 3035, 4906, 4951,
+    4987, 5015, 5036, 5051, 3101, 2078, 2088, 2097, 2105, 2112, 2118, 2123,
+    102,  174,  2545, 2666, 186,  2546, 5086, 2667, 2776, 2777, 198,  2547,
+    5087, 2668, 5096, 5141, 2778, 2875, 2876, 2877, 210,  2548, 5088, 2669,
+    5097, 5142, 2779, 5105, 5150, 5186, 2878, 2963, 2964, 2965, 2966, 222,
+    2549, 5089, 2670, 5098, 5143, 2780, 5106, 5151, 5187, 2879, 5113, 5158,
+    5194, 5222, 2967, 3040, 3041, 3042, 3043, 3044, 234,  2550, 5090, 2671,
+    5099, 5144, 2781, 5107, 5152, 5188, 2880, 5114, 5159, 5195, 5223, 2968,
+    5120, 5165, 5201, 5229, 5250, 3045, 3106, 3107, 3108, 3109, 3110, 3111,
+    246,  2551, 5091, 2672, 5100, 5145, 2782, 5108, 5153, 5189, 2881, 5115,
+    5160, 5196, 5224, 2969, 5121, 5166, 5202, 5230, 5251, 3046, 5126, 5171,
+    5207, 5235, 5256, 5271, 3112, 3161, 3162, 3163, 3164, 3165, 3166, 3167,
+    258,  263,  2138, 264,  2139, 2149, 265,  2140, 2150, 2159, 266,  2141,
+    2151, 2160, 2168, 267,  2142, 2152, 2161, 2169, 2176, 268,  2143, 2153,
+    2162, 2170, 2177, 2183, 269,  2144, 2154, 2163, 2171, 2178, 2184, 2189,
+    270,  107,  108,  109,  110,  111,  112,  113,  114,  19,   1617, 2475,
+    1683, 31,   1627, 3332, 3552, 1693, 2486, 3772, 2607, 1749, 1759, 43,
+    1636, 3341, 3561, 1702, 3386, 6190, 3606, 3781, 3826, 1768, 2497, 3992,
+    2618, 4001, 4046, 2728, 1815, 1825, 1834, 55,   1644, 3349, 3569, 1710,
+    3394, 6198, 3614, 3789, 3834, 1776, 3430, 6234, 3650, 6354, 6682, 3870,
+    4009, 4054, 4090, 1842, 2508, 4212, 2629, 4221, 4266, 2739, 4229, 4274,
+    4310, 2838, 1881, 1891, 1900, 1908, 67,   1651, 3356, 3576, 1717, 3401,
+    6205, 3621, 3796, 3841, 1783, 3437, 6241, 3657, 6361, 6689, 3877, 4016,
+    4061, 4097, 1849, 3465, 6269, 3685, 6389, 6717, 3905, 6473, 6801, 7010,
+    4125, 4236, 4281, 4317, 4345, 1915, 2519, 4432, 2640, 4441, 4486, 2750,
+    4449, 4494, 4530, 2849, 4456, 4501, 4537, 4565, 2937, 1947, 1957, 1966,
+    1974, 1981, 79,   1657, 3362, 3582, 1723, 3407, 6211, 3627, 3802, 3847,
+    1789, 3443, 6247, 3663, 6367, 6695, 3883, 4022, 4067, 4103, 1855, 3471,
+    6275, 3691, 6395, 6723, 3911, 6479, 6807, 7016, 4131, 4242, 4287, 4323,
+    4351, 1921, 3492, 6296, 3712, 6416, 6744, 3932, 6500, 6828, 7037, 4152,
+    6556, 6884, 7093, 7218, 4372, 4462, 4507, 4543, 4571, 4592, 1987, 2530,
+    4652, 2651, 4661, 4706, 2761, 4669, 4714, 4750, 2860, 4676, 4721, 4757,
+    4785, 2948, 4682, 4727, 4763, 4791, 4812, 3025, 2013, 2023, 2032, 2040,
+    2047, 2053, 91,   1662, 3367, 3587, 1728, 3412, 6216, 3632, 3807, 3852,
+    1794, 3448, 6252, 3668, 6372, 6700, 3888, 4027, 4072, 4108, 1860, 3476,
+    6280, 3696, 6400, 6728, 3916, 6484, 6812, 7021, 4136, 4247, 4292, 4328,
+    4356, 1926, 3497, 6301, 3717, 6421, 6749, 3937, 6505, 6833, 7042, 4157,
+    6561, 6889, 7098, 7223, 4377, 4467, 4512, 4548, 4576, 4597, 1992, 3512,
+    6316, 3732, 6436, 6764, 3952, 6520, 6848, 7057, 4172, 6576, 6904, 7113,
+    7238, 4392, 6611, 6939, 7148, 7273, 7342, 4612, 4687, 4732, 4768, 4796,
+    4817, 4832, 2058, 2541, 4872, 2662, 4881, 4926, 2772, 4889, 4934, 4970,
+    2871, 4896, 4941, 4977, 5005, 2959, 4902, 4947, 4983, 5011, 5032, 3036,
+    4907, 4952, 4988, 5016, 5037, 5052, 3102, 2079, 2089, 2098, 2106, 2113,
+    2119, 2124, 103,  1666, 3371, 3591, 1732, 3416, 6220, 3636, 3811, 3856,
+    1798, 3452, 6256, 3672, 6376, 6704, 3892, 4031, 4076, 4112, 1864, 3480,
+    6284, 3700, 6404, 6732, 3920, 6488, 6816, 7025, 4140, 4251, 4296, 4332,
+    4360, 1930, 3501, 6305, 3721, 6425, 6753, 3941, 6509, 6837, 7046, 4161,
+    6565, 6893, 7102, 7227, 4381, 4471, 4516, 4552, 4580, 4601, 1996, 3516,
+    6320, 3736, 6440, 6768, 3956, 6524, 6852, 7061, 4176, 6580, 6908, 7117,
+    7242, 4396, 6615, 6943, 7152, 7277, 7346, 4616, 4691, 4736, 4772, 4800,
+    4821, 4836, 2062, 3526, 6330, 3746, 6450, 6778, 3966, 6534, 6862, 7071,
+    4186, 6590, 6918, 7127, 7252, 4406, 6625, 6953, 7162, 7287, 7356, 4626,
+    6645, 6973, 7182, 7307, 7376, 1605, 4846, 4911, 4956, 4992, 5020, 5041,
+    5056, 5066, 2128, 2552, 5092, 2673, 5101, 5146, 2783, 5109, 5154, 5190,
+    2882, 5116, 5161, 5197, 5225, 2970, 5122, 5167, 5203, 5231, 5252, 3047,
+    5127, 5172, 5208, 5236, 5257, 5272, 3113, 5131, 5176, 5212, 5240, 5261,
+    5276, 5286, 3168, 2145, 2155, 2164, 2172, 2179, 2185, 2190, 2194, 115,
+    175,  2556, 2677, 187,  2557, 5306, 2678, 2787, 2788, 199,  2558, 5307,
+    2679, 5316, 5361, 2789, 2886, 2887, 2888, 211,  2559, 5308, 2680, 5317,
+    5362, 2790, 5325, 5370, 5406, 2889, 2974, 2975, 2976, 2977, 223,  2560,
+    5309, 2681, 5318, 5363, 2791, 5326, 5371, 5407, 2890, 5333, 5378, 5414,
+    5442, 2978, 3051, 3052, 3053, 3054, 3055, 235,  2561, 5310, 2682, 5319,
+    5364, 2792, 5327, 5372, 5408, 2891, 5334, 5379, 5415, 5443, 2979, 5340,
+    5385, 5421, 5449, 5470, 3056, 3117, 3118, 3119, 3120, 3121, 3122, 247,
+    2562, 5311, 2683, 5320, 5365, 2793, 5328, 5373, 5409, 2892, 5335, 5380,
+    5416, 5444, 2980, 5341, 5386, 5422, 5450, 5471, 3057, 5346, 5391, 5427,
+    5455, 5476, 5491, 3123, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 259,
+    2563, 5312, 2684, 5321, 5366, 2794, 5329, 5374, 5410, 2893, 5336, 5381,
+    5417, 5445, 2981, 5342, 5387, 5423, 5451, 5472, 3058, 5347, 5392, 5428,
+    5456, 5477, 5492, 3124, 5351, 5396, 5432, 5460, 5481, 5496, 5506, 3179,
+    3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 271,  275,  2204, 276,
+    2205, 2215, 277,  2206, 2216, 2225, 278,  2207, 2217, 2226, 2234, 279,
+    2208, 2218, 2227, 2235, 2242, 280,  2209, 2219, 2228, 2236, 2243, 2249,
+    281,  2210, 2220, 2229, 2237, 2244, 2250, 2255, 282,  2211, 2221, 2230,
+    2238, 2245, 2251, 2256, 2260, 283,  119,  120,  121,  122,  123,  124,
+    125,  126,  127,  20,   1618, 2476, 1684, 32,   1628, 3333, 3553, 1694,
+    2487, 3773, 2608, 1750, 1760, 44,   1637, 3342, 3562, 1703, 3387, 6191,
+    3607, 3782, 3827, 1769, 2498, 3993, 2619, 4002, 4047, 2729, 1816, 1826,
+    1835, 56,   1645, 3350, 3570, 1711, 3395, 6199, 3615, 3790, 3835, 1777,
+    3431, 6235, 3651, 6355, 6683, 3871, 4010, 4055, 4091, 1843, 2509, 4213,
+    2630, 4222, 4267, 2740, 4230, 4275, 4311, 2839, 1882, 1892, 1901, 1909,
+    68,   1652, 3357, 3577, 1718, 3402, 6206, 3622, 3797, 3842, 1784, 3438,
+    6242, 3658, 6362, 6690, 3878, 4017, 4062, 4098, 1850, 3466, 6270, 3686,
+    6390, 6718, 3906, 6474, 6802, 7011, 4126, 4237, 4282, 4318, 4346, 1916,
+    2520, 4433, 2641, 4442, 4487, 2751, 4450, 4495, 4531, 2850, 4457, 4502,
+    4538, 4566, 2938, 1948, 1958, 1967, 1975, 1982, 80,   1658, 3363, 3583,
+    1724, 3408, 6212, 3628, 3803, 3848, 1790, 3444, 6248, 3664, 6368, 6696,
+    3884, 4023, 4068, 4104, 1856, 3472, 6276, 3692, 6396, 6724, 3912, 6480,
+    6808, 7017, 4132, 4243, 4288, 4324, 4352, 1922, 3493, 6297, 3713, 6417,
+    6745, 3933, 6501, 6829, 7038, 4153, 6557, 6885, 7094, 7219, 4373, 4463,
+    4508, 4544, 4572, 4593, 1988, 2531, 4653, 2652, 4662, 4707, 2762, 4670,
+    4715, 4751, 2861, 4677, 4722, 4758, 4786, 2949, 4683, 4728, 4764, 4792,
+    4813, 3026, 2014, 2024, 2033, 2041, 2048, 2054, 92,   1663, 3368, 3588,
+    1729, 3413, 6217, 3633, 3808, 3853, 1795, 3449, 6253, 3669, 6373, 6701,
+    3889, 4028, 4073, 4109, 1861, 3477, 6281, 3697, 6401, 6729, 3917, 6485,
+    6813, 7022, 4137, 4248, 4293, 4329, 4357, 1927, 3498, 6302, 3718, 6422,
+    6750, 3938, 6506, 6834, 7043, 4158, 6562, 6890, 7099, 7224, 4378, 4468,
+    4513, 4549, 4577, 4598, 1993, 3513, 6317, 3733, 6437, 6765, 3953, 6521,
+    6849, 7058, 4173, 6577, 6905, 7114, 7239, 4393, 6612, 6940, 7149, 7274,
+    7343, 4613, 4688, 4733, 4769, 4797, 4818, 4833, 2059, 2542, 4873, 2663,
+    4882, 4927, 2773, 4890, 4935, 4971, 2872, 4897, 4942, 4978, 5006, 2960,
+    4903, 4948, 4984, 5012, 5033, 3037, 4908, 4953, 4989, 5017, 5038, 5053,
+    3103, 2080, 2090, 2099, 2107, 2114, 2120, 2125, 104,  1667, 3372, 3592,
+    1733, 3417, 6221, 3637, 3812, 3857, 1799, 3453, 6257, 3673, 6377, 6705,
+    3893, 4032, 4077, 4113, 1865, 3481, 6285, 3701, 6405, 6733, 3921, 6489,
+    6817, 7026, 4141, 4252, 4297, 4333, 4361, 1931, 3502, 6306, 3722, 6426,
+    6754, 3942, 6510, 6838, 7047, 4162, 6566, 6894, 7103, 7228, 4382, 4472,
+    4517, 4553, 4581, 4602, 1997, 3517, 6321, 3737, 6441, 6769, 3957, 6525,
+    6853, 7062, 4177, 6581, 6909, 7118, 7243, 4397, 6616, 6944, 7153, 7278,
+    7347, 4617, 4692, 4737, 4773, 4801, 4822, 4837, 2063, 3527, 6331, 3747,
+    6451, 6779, 3967, 6535, 6863, 7072, 4187, 6591, 6919, 7128, 7253, 4407,
+    6626, 6954, 7163, 7288, 7357, 4627, 6646, 6974, 7183, 7308, 7377, 7411,
+    4847, 4912, 4957, 4993, 5021, 5042, 5057, 5067, 2129, 2553, 5093, 2674,
+    5102, 5147, 2784, 5110, 5155, 5191, 2883, 5117, 5162, 5198, 5226, 2971,
+    5123, 5168, 5204, 5232, 5253, 3048, 5128, 5173, 5209, 5237, 5258, 5273,
+    3114, 5132, 5177, 5213, 5241, 5262, 5277, 5287, 3169, 2146, 2156, 2165,
+    2173, 2180, 2186, 2191, 2195, 116,  1609, 1609, 1609, 1736, 1609, 1609,
+    3640, 1609, 3860, 1802, 1609, 1609, 3676, 1609, 6708, 3896, 1609, 4080,
+    4116, 1868, 1609, 1609, 3704, 1609, 6736, 3924, 1609, 6820, 7029, 4144,
+    1609, 4300, 4336, 4364, 1934, 1609, 1609, 3725, 1609, 6757, 3945, 1609,
+    6841, 7050, 4165, 1609, 6897, 7106, 7231, 4385, 1609, 4520, 4556, 4584,
+    4605, 2000, 1609, 1609, 3740, 1609, 6772, 3960, 1609, 6856, 7065, 4180,
+    1609, 6912, 7121, 7246, 4400, 1609, 6947, 7156, 7281, 7350, 4620, 1609,
+    4740, 4776, 4804, 4825, 4840, 2066, 1609, 1609, 3750, 1609, 6782, 3970,
+    1609, 6866, 7075, 4190, 1609, 6922, 7131, 7256, 4410, 1609, 6957, 7166,
+    7291, 7360, 4630, 1609, 6977, 7186, 7311, 7380, 7414, 4850, 1609, 4960,
+    4996, 5024, 5045, 5060, 5070, 2132, 1608, 1608, 1608, 1608, 1608, 1608,
+    1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608,
+    1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1607, 1607,
+    1607, 1607, 1607, 1607, 1606, 1607, 1608, 1608, 1608, 1608, 1608, 1608,
+    1608, 1607, 1608, 1609, 1609, 2685, 1609, 5367, 2795, 1609, 5375, 5411,
+    2894, 1609, 5382, 5418, 5446, 2982, 1609, 5388, 5424, 5452, 5473, 3059,
+    1609, 5393, 5429, 5457, 5478, 5493, 3125, 1609, 5397, 5433, 5461, 5482,
+    5497, 5507, 3180, 1608, 1608, 1608, 1608, 1608, 1608, 1608, 1607, 1608,
+    1609, 2222, 2231, 2239, 2246, 2252, 2257, 2261, 1608, 128,  176,  2567,
+    2688, 188,  2568, 5526, 2689, 2798, 2799, 200,  2569, 5527, 2690, 5536,
+    5581, 2800, 2897, 2898, 2899, 212,  2570, 5528, 2691, 5537, 5582, 2801,
+    5545, 5590, 5626, 2900, 2985, 2986, 2987, 2988, 224,  2571, 5529, 2692,
+    5538, 5583, 2802, 5546, 5591, 5627, 2901, 5553, 5598, 5634, 5662, 2989,
+    3062, 3063, 3064, 3065, 3066, 236,  2572, 5530, 2693, 5539, 5584, 2803,
+    5547, 5592, 5628, 2902, 5554, 5599, 5635, 5663, 2990, 5560, 5605, 5641,
+    5669, 5690, 3067, 3128, 3129, 3130, 3131, 3132, 3133, 248,  2573, 5531,
+    2694, 5540, 5585, 2804, 5548, 5593, 5629, 2903, 5555, 5600, 5636, 5664,
+    2991, 5561, 5606, 5642, 5670, 5691, 3068, 5566, 5611, 5647, 5675, 5696,
+    5711, 3134, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 260,  2574, 5532,
+    2695, 5541, 5586, 2805, 5549, 5594, 5630, 2904, 5556, 5601, 5637, 5665,
+    2992, 5562, 5607, 5643, 5671, 5692, 3069, 5567, 5612, 5648, 5676, 5697,
+    5712, 3135, 5571, 5616, 5652, 5680, 5701, 5716, 5726, 3190, 3227, 3228,
+    3229, 3230, 3231, 3232, 3233, 3234, 272,  1609, 1609, 2696, 1609, 5587,
+    2806, 1609, 5595, 5631, 2905, 1609, 5602, 5638, 5666, 2993, 1609, 5608,
+    5644, 5672, 5693, 3070, 1609, 5613, 5649, 5677, 5698, 5713, 3136, 1609,
+    5617, 5653, 5681, 5702, 5717, 5727, 3191, 1608, 1608, 1608, 1608, 1608,
+    1608, 1608, 1607, 1608, 1609, 3261, 3262, 3263, 3264, 3265, 3266, 3267,
+    1608, 284,  287,  2270, 288,  2271, 2281, 289,  2272, 2282, 2291, 290,
+    2273, 2283, 2292, 2300, 291,  2274, 2284, 2293, 2301, 2308, 292,  2275,
+    2285, 2294, 2302, 2309, 2315, 293,  2276, 2286, 2295, 2303, 2310, 2316,
+    2321, 294,  2277, 2287, 2296, 2304, 2311, 2317, 2322, 2326, 295,  1609,
+    2288, 2297, 2305, 2312, 2318, 2323, 2327, 1608, 296,  131,  132,  133,
+    134,  135,  136,  137,  138,  139,  140,  21,   177,  2477, 189,  33,
+    177,  2578, 2699, 189,  2488, 2809, 2609, 201,  201,  45,   177,  2578,
+    2699, 189,  2579, 5746, 2700, 2809, 2810, 201,  2499, 2908, 2620, 2908,
+    2909, 2730, 213,  213,  213,  57,   177,  2578, 2699, 189,  2579, 5746,
+    2700, 2809, 2810, 201,  2580, 5747, 2701, 5756, 5801, 2811, 2908, 2909,
+    2910, 213,  2510, 2996, 2631, 2996, 2997, 2741, 2996, 2997, 2998, 2840,
+    225,  225,  225,  225,  69,   177,  2578, 2699, 189,  2579, 5746, 2700,
+    2809, 2810, 201,  2580, 5747, 2701, 5756, 5801, 2811, 2908, 2909, 2910,
+    213,  2581, 5748, 2702, 5757, 5802, 2812, 5765, 5810, 5846, 2911, 2996,
+    2997, 2998, 2999, 225,  2521, 3073, 2642, 3073, 3074, 2752, 3073, 3074,
+    3075, 2851, 3073, 3074, 3075, 3076, 2939, 237,  237,  237,  237,  237,
+    81,   177,  2578, 2699, 189,  2579, 5746, 2700, 2809, 2810, 201,  2580,
+    5747, 2701, 5756, 5801, 2811, 2908, 2909, 2910, 213,  2581, 5748, 2702,
+    5757, 5802, 2812, 5765, 5810, 5846, 2911, 2996, 2997, 2998, 2999, 225,
+    2582, 5749, 2703, 5758, 5803, 2813, 5766, 5811, 5847, 2912, 5773, 5818,
+    5854, 5882, 3000, 3073, 3074, 3075, 3076, 3077, 237,  2532, 3139, 2653,
+    3139, 3140, 2763, 3139, 3140, 3141, 2862, 3139, 3140, 3141, 3142, 2950,
+    3139, 3140, 3141, 3142, 3143, 3027, 249,  249,  249,  249,  249,  249,
+    93,   177,  2578, 2699, 189,  2579, 5746, 2700, 2809, 2810, 201,  2580,
+    5747, 2701, 5756, 5801, 2811, 2908, 2909, 2910, 213,  2581, 5748, 2702,
+    5757, 5802, 2812, 5765, 5810, 5846, 2911, 2996, 2997, 2998, 2999, 225,
+    2582, 5749, 2703, 5758, 5803, 2813, 5766, 5811, 5847, 2912, 5773, 5818,
+    5854, 5882, 3000, 3073, 3074, 3075, 3076, 3077, 237,  2583, 5750, 2704,
+    5759, 5804, 2814, 5767, 5812, 5848, 2913, 5774, 5819, 5855, 5883, 3001,
+    5780, 5825, 5861, 5889, 5910, 3078, 3139, 3140, 3141, 3142, 3143, 3144,
+    249,  2543, 3194, 2664, 3194, 3195, 2774, 3194, 3195, 3196, 2873, 3194,
+    3195, 3196, 3197, 2961, 3194, 3195, 3196, 3197, 3198, 3038, 3194, 3195,
+    3196, 3197, 3198, 3199, 3104, 261,  261,  261,  261,  261,  261,  261,
+    105,  177,  2578, 2699, 189,  2579, 5746, 2700, 2809, 2810, 201,  2580,
+    5747, 2701, 5756, 5801, 2811, 2908, 2909, 2910, 213,  2581, 5748, 2702,
+    5757, 5802, 2812, 5765, 5810, 5846, 2911, 2996, 2997, 2998, 2999, 225,
+    2582, 5749, 2703, 5758, 5803, 2813, 5766, 5811, 5847, 2912, 5773, 5818,
+    5854, 5882, 3000, 3073, 3074, 3075, 3076, 3077, 237,  2583, 5750, 2704,
+    5759, 5804, 2814, 5767, 5812, 5848, 2913, 5774, 5819, 5855, 5883, 3001,
+    5780, 5825, 5861, 5889, 5910, 3078, 3139, 3140, 3141, 3142, 3143, 3144,
+    249,  2584, 5751, 2705, 5760, 5805, 2815, 5768, 5813, 5849, 2914, 5775,
+    5820, 5856, 5884, 3002, 5781, 5826, 5862, 5890, 5911, 3079, 5786, 5831,
+    5867, 5895, 5916, 5931, 3145, 3194, 3195, 3196, 3197, 3198, 3199, 3200,
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+    1608, 3269, 298,  298,  298,  298,  298,  298,  298,  298,  298,  298,
+    141,  177,  2578, 2699, 189,  2579, 3315, 2700, 2809, 2810, 201,  2580,
+    3315, 2701, 3315, 3316, 2811, 2908, 2909, 2910, 213,  2581, 3315, 2702,
+    3315, 3316, 2812, 3315, 3316, 3317, 2911, 2996, 2997, 2998, 2999, 225,
+    2582, 3315, 2703, 3315, 3316, 2813, 3315, 3316, 3317, 2912, 3315, 3316,
+    3317, 3318, 3000, 3073, 3074, 3075, 3076, 3077, 237,  2583, 3315, 2704,
+    3315, 3316, 2814, 3315, 3316, 3317, 2913, 3315, 3316, 3317, 3318, 3001,
+    3315, 3316, 3317, 3318, 3319, 3078, 3139, 3140, 3141, 3142, 3143, 3144,
+    249,  2584, 3315, 2705, 3315, 3316, 2815, 3315, 3316, 3317, 2914, 3315,
+    3316, 3317, 3318, 3002, 3315, 3316, 3317, 3318, 3319, 3079, 3315, 3316,
+    3317, 3318, 3319, 3320, 3145, 3194, 3195, 3196, 3197, 3198, 3199, 3200,
+    261,  2585, 3315, 2706, 3315, 3316, 2816, 3315, 3316, 3317, 2915, 3315,
+    3316, 3317, 3318, 3003, 3315, 3316, 3317, 3318, 3319, 3080, 3315, 3316,
+    3317, 3318, 3319, 3320, 3146, 3315, 3316, 3317, 3318, 3319, 3320, 3321,
+    3201, 3238, 3239, 3240, 3241, 3242, 3243, 3244, 3245, 273,  2586, 3315,
+    2707, 3315, 3316, 2817, 3315, 3316, 3317, 2916, 3315, 3316, 3317, 3318,
+    3004, 3315, 3316, 3317, 3318, 3319, 3081, 3315, 3316, 3317, 3318, 3319,
+    3320, 3147, 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3202, 3315, 3316,
+    3317, 3318, 3319, 3320, 3321, 3322, 3246, 3271, 3272, 3273, 3274, 3275,
+    3276, 3277, 3278, 3279, 285,  2587, 3315, 2708, 3315, 3316, 2818, 3315,
+    3316, 3317, 2917, 3315, 3316, 3317, 3318, 3005, 3315, 3316, 3317, 3318,
+    3319, 3082, 3315, 3316, 3317, 3318, 3319, 3320, 3148, 3315, 3316, 3317,
+    3318, 3319, 3320, 3321, 3203, 3315, 3316, 3317, 3318, 3319, 3320, 3321,
+    3322, 3247, 1609, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 1608, 3280,
+    3293, 3294, 3295, 3296, 3297, 3298, 3299, 3300, 3301, 3302, 297,  299,
+    310,  300,  310,  310,  301,  310,  310,  310,  302,  310,  310,  310,
+    310,  303,  310,  310,  310,  310,  310,  304,  310,  310,  310,  310,
+    310,  310,  305,  310,  310,  310,  310,  310,  310,  310,  306,  310,
+    310,  310,  310,  310,  310,  310,  310,  307,  310,  310,  310,  310,
+    310,  310,  310,  310,  310,  308,  310,  310,  310,  310,  310,  310,
+    310,  310,  310,  310,  309,  143,  144,  145,  146,  147,  148,  149,
+    150,  151,  152,  153,  22,   178,  311,  190,  34,   178,  311,  312,
+    190,  311,  313,  312,  202,  202,  46,   178,  311,  312,  190,  311,
+    2402, 312,  313,  313,  202,  311,  314,  312,  314,  314,  313,  214,
+    214,  214,  58,   178,  311,  312,  190,  311,  2402, 312,  313,  313,
+    202,  311,  2402, 312,  2403, 2413, 313,  314,  314,  314,  214,  311,
+    315,  312,  315,  315,  313,  315,  315,  315,  314,  226,  226,  226,
+    226,  70,   178,  311,  312,  190,  311,  2402, 312,  313,  313,  202,
+    311,  2402, 312,  2403, 2413, 313,  314,  314,  314,  214,  311,  2402,
+    312,  2403, 2413, 313,  2404, 2414, 2423, 314,  315,  315,  315,  315,
+    226,  311,  316,  312,  316,  316,  313,  316,  316,  316,  314,  316,
+    316,  316,  316,  315,  238,  238,  238,  238,  238,  82,   178,  311,
+    312,  190,  311,  2402, 312,  313,  313,  202,  311,  2402, 312,  2403,
+    2413, 313,  314,  314,  314,  214,  311,  2402, 312,  2403, 2413, 313,
+    2404, 2414, 2423, 314,  315,  315,  315,  315,  226,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    316,  316,  316,  316,  316,  238,  311,  317,  312,  317,  317,  313,
+    317,  317,  317,  314,  317,  317,  317,  317,  315,  317,  317,  317,
+    317,  317,  316,  250,  250,  250,  250,  250,  250,  94,   178,  311,
+    312,  190,  311,  2402, 312,  313,  313,  202,  311,  2402, 312,  2403,
+    2413, 313,  314,  314,  314,  214,  311,  2402, 312,  2403, 2413, 313,
+    2404, 2414, 2423, 314,  315,  315,  315,  315,  226,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    316,  316,  316,  316,  316,  238,  311,  2402, 312,  2403, 2413, 313,
+    2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425,
+    2433, 2440, 316,  317,  317,  317,  317,  317,  317,  250,  311,  318,
+    312,  318,  318,  313,  318,  318,  318,  314,  318,  318,  318,  318,
+    315,  318,  318,  318,  318,  318,  316,  318,  318,  318,  318,  318,
+    318,  317,  262,  262,  262,  262,  262,  262,  262,  106,  178,  311,
+    312,  190,  311,  2402, 312,  313,  313,  202,  311,  2402, 312,  2403,
+    2413, 313,  314,  314,  314,  214,  311,  2402, 312,  2403, 2413, 313,
+    2404, 2414, 2423, 314,  315,  315,  315,  315,  226,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    316,  316,  316,  316,  316,  238,  311,  2402, 312,  2403, 2413, 313,
+    2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425,
+    2433, 2440, 316,  317,  317,  317,  317,  317,  317,  250,  311,  2402,
+    312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432,
+    315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441,
+    2447, 317,  318,  318,  318,  318,  318,  318,  318,  262,  311,  319,
+    312,  319,  319,  313,  319,  319,  319,  314,  319,  319,  319,  319,
+    315,  319,  319,  319,  319,  319,  316,  319,  319,  319,  319,  319,
+    319,  317,  319,  319,  319,  319,  319,  319,  319,  318,  274,  274,
+    274,  274,  274,  274,  274,  274,  118,  178,  311,  312,  190,  311,
+    2402, 312,  313,  313,  202,  311,  2402, 312,  2403, 2413, 313,  314,
+    314,  314,  214,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423,
+    314,  315,  315,  315,  315,  226,  311,  2402, 312,  2403, 2413, 313,
+    2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  316,  316,  316,
+    316,  316,  238,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423,
+    314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425, 2433, 2440, 316,
+    317,  317,  317,  317,  317,  317,  250,  311,  2402, 312,  2403, 2413,
+    313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416,
+    2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,  318,
+    318,  318,  318,  318,  318,  318,  262,  311,  2402, 312,  2403, 2413,
+    313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416,
+    2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,  2408,
+    2418, 2427, 2435, 2442, 2448, 2453, 318,  319,  319,  319,  319,  319,
+    319,  319,  319,  274,  311,  320,  312,  320,  320,  313,  320,  320,
+    320,  314,  320,  320,  320,  320,  315,  320,  320,  320,  320,  320,
+    316,  320,  320,  320,  320,  320,  320,  317,  320,  320,  320,  320,
+    320,  320,  320,  318,  320,  320,  320,  320,  320,  320,  320,  320,
+    319,  286,  286,  286,  286,  286,  286,  286,  286,  286,  130,  178,
+    311,  312,  190,  311,  2402, 312,  313,  313,  202,  311,  2402, 312,
+    2403, 2413, 313,  314,  314,  314,  214,  311,  2402, 312,  2403, 2413,
+    313,  2404, 2414, 2423, 314,  315,  315,  315,  315,  226,  311,  2402,
+    312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432,
+    315,  316,  316,  316,  316,  316,  238,  311,  2402, 312,  2403, 2413,
+    313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416,
+    2425, 2433, 2440, 316,  317,  317,  317,  317,  317,  317,  250,  311,
+    2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424,
+    2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434,
+    2441, 2447, 317,  318,  318,  318,  318,  318,  318,  318,  262,  311,
+    2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424,
+    2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434,
+    2441, 2447, 317,  2408, 2418, 2427, 2435, 2442, 2448, 2453, 318,  319,
+    319,  319,  319,  319,  319,  319,  319,  274,  311,  2402, 312,  2403,
+    2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406,
+    2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,
+    2408, 2418, 2427, 2435, 2442, 2448, 2453, 318,  2409, 2419, 2428, 2436,
+    2443, 2449, 2454, 2458, 319,  320,  320,  320,  320,  320,  320,  320,
+    320,  320,  286,  311,  321,  312,  321,  321,  313,  321,  321,  321,
+    314,  321,  321,  321,  321,  315,  321,  321,  321,  321,  321,  316,
+    321,  321,  321,  321,  321,  321,  317,  321,  321,  321,  321,  321,
+    321,  321,  318,  321,  321,  321,  321,  321,  321,  321,  321,  319,
+    321,  321,  321,  321,  321,  321,  321,  321,  321,  320,  298,  298,
+    298,  298,  298,  298,  298,  298,  298,  298,  142,  178,  311,  312,
+    190,  311,  2402, 312,  313,  313,  202,  311,  2402, 312,  2403, 2413,
+    313,  314,  314,  314,  214,  311,  2402, 312,  2403, 2413, 313,  2404,
+    2414, 2423, 314,  315,  315,  315,  315,  226,  311,  2402, 312,  2403,
+    2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  316,
+    316,  316,  316,  316,  238,  311,  2402, 312,  2403, 2413, 313,  2404,
+    2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425, 2433,
+    2440, 316,  317,  317,  317,  317,  317,  317,  250,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447,
+    317,  318,  318,  318,  318,  318,  318,  318,  262,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447,
+    317,  2408, 2418, 2427, 2435, 2442, 2448, 2453, 318,  319,  319,  319,
+    319,  319,  319,  319,  319,  274,  311,  2402, 312,  2403, 2413, 313,
+    2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425,
+    2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,  2408, 2418,
+    2427, 2435, 2442, 2448, 2453, 318,  2409, 2419, 2428, 2436, 2443, 2449,
+    2454, 2458, 319,  320,  320,  320,  320,  320,  320,  320,  320,  320,
+    286,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405,
+    2415, 2424, 2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  2407, 2417,
+    2426, 2434, 2441, 2447, 317,  2408, 2418, 2427, 2435, 2442, 2448, 2453,
+    318,  2409, 2419, 2428, 2436, 2443, 2449, 2454, 2458, 319,  1609, 2420,
+    2429, 2437, 2444, 2450, 2455, 2459, 1608, 320,  321,  321,  321,  321,
+    321,  321,  321,  321,  321,  321,  298,  311,  322,  312,  322,  322,
+    313,  322,  322,  322,  314,  322,  322,  322,  322,  315,  322,  322,
+    322,  322,  322,  316,  322,  322,  322,  322,  322,  322,  317,  322,
+    322,  322,  322,  322,  322,  322,  318,  322,  322,  322,  322,  322,
+    322,  322,  322,  319,  322,  322,  322,  322,  322,  322,  322,  322,
+    322,  320,  322,  322,  322,  322,  322,  322,  322,  322,  322,  322,
+    321,  310,  310,  310,  310,  310,  310,  310,  310,  310,  310,  310,
+    154,  155,  155,  155,  156,  155,  155,  156,  155,  156,  157,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,  160,
+    161,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  156,  157,  158,  159,  160,  161,  162,  163,  155,  155,
+    156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,
+    159,  155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,
+    160,  161,  155,  156,  157,  158,  159,  160,  161,  162,  155,  156,
+    157,  158,  159,  160,  161,  162,  163,  155,  156,  157,  158,  159,
+    160,  161,  162,  163,  164,  155,  155,  156,  155,  156,  157,  155,
+    156,  157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,
+    159,  160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,
+    158,  159,  160,  161,  162,  155,  156,  157,  158,  159,  160,  161,
+    162,  163,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,
+    155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,
+    158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,  158,
+    159,  160,  161,  155,  156,  157,  158,  159,  160,  161,  162,  155,
+    156,  157,  158,  159,  160,  161,  162,  163,  155,  156,  157,  158,
+    159,  160,  161,  162,  163,  164,  155,  156,  157,  158,  159,  160,
+    161,  162,  163,  164,  165,  155,  156,  157,  158,  159,  160,  161,
+    162,  163,  164,  165,  166,
 };
-
diff --git a/cpp/src/hashtable8.c b/cpp/src/hashtable8.c
index 64e1321..69f58c8 100644
--- a/cpp/src/hashtable8.c
+++ b/cpp/src/hashtable8.c
@@ -1,15009 +1,10007 @@
 const short noflush8[120055] = {
-  11,  11,  23,  11,  167,  23,  11,  167,
-  179,  23,  12,  35,  35,  35,  24,  11,
-  23,  11,  167,  23,  11,  167,  179,  23,
-  12,  168,  191,  180,  24,  35,  35,  35,
-  36,  11,  167,  23,  11,  167,  179,  23,
-  12,  168,  2468,  180,  24,  168,  191,  192,
-  180,  35,  35,  36,  11,  167,  179,  23,
-  12,  169,  203,  181,  24,  168,  203,  204,
-  180,  191,  193,  192,  35,  36,  13,  47,
-  47,  47,  25,  47,  47,  47,  48,  47,
-  47,  48,  47,  48,  37,  11,  23,  11,
-  167,  23,  11,  167,  179,  23,  12,  168,
-  191,  180,  24,  35,  35,  35,  36,  11,
-  167,  23,  11,  167,  179,  23,  12,  168,
-  1600,  180,  24,  168,  191,  192,  180,  35,
-  35,  36,  11,  167,  179,  23,  12,  169,
-  1600,  181,  24,  168,  1600,  1600,  180,  191,
-  193,  192,  35,  36,  13,  169,  203,  181,
-  25,  169,  203,  204,  181,  203,  205,  204,
-  193,  193,  37,  47,  47,  47,  48,  47,
-  47,  48,  47,  48,  49,  11,  167,  23,
-  11,  167,  179,  23,  12,  168,  2468,  180,
-  24,  168,  191,  192,  180,  35,  35,  36,
-  11,  167,  179,  23,  12,  170,  1600,  182,
-  24,  168,  1600,  1600,  180,  191,  194,  192,
-  35,  36,  13,  169,  2469,  181,  25,  169,
-  1600,  1600,  181,  2480,  1600,  2601,  193,  193,
-  37,  169,  203,  204,  181,  203,  206,  204,
-  205,  205,  193,  47,  47,  48,  47,  48,
-  49,  11,  167,  179,  23,  12,  170,  215,
-  182,  24,  168,  215,  216,  180,  191,  194,
-  192,  35,  36,  13,  170,  215,  182,  25,
-  170,  215,  216,  182,  215,  217,  216,  194,
-  194,  37,  169,  215,  216,  181,  215,  218,
-  216,  217,  217,  193,  203,  206,  204,  206,
-  206,  205,  47,  48,  49,  14,  59,  59,
-  59,  26,  59,  59,  59,  60,  59,  59,
-  60,  59,  60,  38,  59,  59,  59,  60,
-  59,  59,  60,  59,  60,  61,  59,  59,
-  60,  59,  60,  61,  59,  60,  61,  50,
-  11,  23,  11,  167,  23,  11,  167,  179,
-  23,  12,  168,  191,  180,  24,  35,  35,
-  35,  36,  11,  167,  23,  11,  167,  179,
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-  2644,  184,  2483,  2754,  2604,  196,  196,  40,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2494,  2853,  2615,  2853,  2854,  2725,
-  208,  208,  208,  52,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2525,  4647,
-  2646,  4656,  4701,  2756,  2853,  2854,  2855,  208,
-  2505,  2941,  2626,  2941,  2942,  2736,  2941,  2942,
-  2943,  2835,  220,  220,  220,  220,  64,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2525,  4647,  2646,  4656,  4701,  2756,  2853,
-  2854,  2855,  208,  2526,  4648,  2647,  4657,  4702,
-  2757,  1603,  1603,  1602,  1603,  2941,  2942,  2943,
-  1603,  220,  2516,  3018,  2637,  3018,  3019,  2747,
-  3018,  3019,  3020,  2846,  3018,  3019,  3020,  1603,
-  2934,  232,  232,  232,  232,  232,  76,  172,
-  239,  240,  184,  239,  2006,  240,  241,  241,
-  196,  239,  2006,  240,  2007,  2017,  241,  242,
-  242,  242,  208,  239,  2006,  240,  2007,  2017,
-  241,  2008,  2018,  2027,  242,  243,  243,  243,
-  243,  220,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  2009,  2019,  2028,  1603,
-  243,  244,  244,  244,  244,  244,  232,  83,
-  83,  84,  83,  84,  85,  83,  84,  85,
-  86,  83,  84,  85,  86,  87,  83,  84,
-  85,  86,  87,  88,  11,  167,  179,  23,
-  12,  173,  2468,  185,  24,  168,  2479,  2600,
-  180,  191,  197,  192,  35,  36,  13,  173,
-  2469,  185,  25,  173,  2534,  2655,  185,  2480,
-  2765,  2601,  197,  197,  37,  169,  2490,  2611,
-  181,  2491,  2864,  2612,  2721,  2722,  193,  203,
-  209,  204,  209,  209,  205,  47,  48,  49,
-  14,  173,  2470,  185,  26,  173,  2534,  2655,
-  185,  2481,  2765,  2602,  197,  197,  38,  173,
-  2534,  2655,  185,  2535,  1600,  2656,  2765,  2766,
-  197,  2492,  2864,  2613,  2864,  2865,  2723,  209,
-  209,  209,  50,  170,  2501,  2622,  182,  2502,
-  2952,  2623,  2732,  2733,  194,  2503,  2952,  2624,
-  2952,  2953,  2734,  2831,  2832,  2833,  206,  215,
-  221,  216,  221,  221,  217,  221,  221,  221,
-  218,  59,  60,  61,  62,  15,  173,  2471,
-  185,  27,  173,  2534,  2655,  185,  2482,  2765,
-  2603,  197,  197,  39,  173,  2534,  2655,  185,
-  2535,  4866,  2656,  2765,  2766,  197,  2493,  2864,
-  2614,  2864,  2865,  2724,  209,  209,  209,  51,
-  173,  2534,  2655,  185,  2535,  4866,  2656,  2765,
-  2766,  197,  2536,  4867,  2657,  4876,  1601,  2767,
-  2864,  2865,  2866,  209,  2504,  2952,  2625,  2952,
-  2953,  2735,  2952,  2953,  2954,  2834,  221,  221,
-  221,  221,  63,  171,  2512,  2633,  183,  2513,
-  3029,  2634,  2743,  2744,  195,  2514,  3029,  2635,
-  3029,  3030,  2745,  2842,  2843,  2844,  207,  2515,
-  3029,  2636,  3029,  3030,  2746,  3029,  3030,  3031,
-  2845,  2930,  2931,  2932,  2933,  219,  227,  233,
-  228,  233,  233,  229,  233,  233,  233,  230,
-  233,  233,  233,  233,  231,  71,  72,  73,
-  74,  75,  16,  173,  2472,  185,  28,  173,
-  2534,  2655,  185,  2483,  2765,  2604,  197,  197,
-  40,  173,  2534,  2655,  185,  2535,  4866,  2656,
-  2765,  2766,  197,  2494,  2864,  2615,  2864,  2865,
-  2725,  209,  209,  209,  52,  173,  2534,  2655,
-  185,  2535,  4866,  2656,  2765,  2766,  197,  2536,
-  4867,  2657,  4876,  4921,  2767,  2864,  2865,  2866,
-  209,  2505,  2952,  2626,  2952,  2953,  2736,  2952,
-  2953,  2954,  2835,  221,  221,  221,  221,  64,
-  173,  2534,  2655,  185,  2535,  4866,  2656,  2765,
-  2766,  197,  2536,  4867,  2657,  4876,  4921,  2767,
-  2864,  2865,  2866,  209,  2537,  4868,  2658,  4877,
-  4922,  2768,  1603,  1603,  1602,  1603,  2952,  2953,
-  2954,  1603,  221,  2516,  3029,  2637,  3029,  3030,
-  2747,  3029,  3030,  3031,  2846,  3029,  3030,  3031,
-  1603,  2934,  233,  233,  233,  233,  233,  76,
-  172,  2523,  2644,  184,  2524,  3095,  2645,  2754,
-  2755,  196,  2525,  3095,  2646,  3095,  3096,  2756,
-  2853,  2854,  2855,  208,  2526,  3095,  2647,  3095,
-  3096,  2757,  3095,  3096,  3097,  2856,  2941,  2942,
-  2943,  2944,  220,  2527,  3095,  2648,  3095,  3096,
-  2758,  3095,  3096,  3097,  2857,  3095,  3096,  3097,
-  1603,  2945,  3018,  3019,  3020,  3021,  3022,  232,
-  239,  245,  240,  245,  245,  241,  245,  245,
-  245,  242,  245,  245,  245,  245,  243,  245,
-  245,  245,  245,  245,  244,  83,  84,  85,
-  86,  87,  88,  17,  173,  251,  185,  29,
-  173,  251,  252,  185,  251,  253,  252,  197,
-  197,  41,  173,  251,  252,  185,  251,  2072,
-  252,  253,  253,  197,  251,  254,  252,  254,
-  254,  253,  209,  209,  209,  53,  173,  251,
-  252,  185,  251,  2072,  252,  253,  253,  197,
-  251,  2072,  252,  2073,  2083,  253,  254,  254,
-  254,  209,  251,  255,  252,  255,  255,  253,
-  255,  255,  255,  254,  221,  221,  221,  221,
-  65,  173,  251,  252,  185,  251,  2072,  252,
-  253,  253,  197,  251,  2072,  252,  2073,  2083,
-  253,  254,  254,  254,  209,  251,  2072,  252,
-  2073,  2083,  253,  2074,  2084,  2093,  254,  255,
-  255,  255,  255,  221,  251,  256,  252,  256,
-  256,  253,  256,  256,  256,  254,  256,  256,
-  256,  256,  255,  233,  233,  233,  233,  233,
-  77,  173,  251,  252,  185,  251,  2072,  252,
-  253,  253,  197,  251,  2072,  252,  2073,  2083,
-  253,  254,  254,  254,  209,  251,  2072,  252,
-  2073,  2083,  253,  2074,  2084,  2093,  254,  255,
-  255,  255,  255,  221,  251,  2072,  252,  2073,
-  2083,  253,  2074,  2084,  2093,  254,  2075,  2085,
-  2094,  1603,  255,  256,  256,  256,  256,  256,
-  233,  251,  257,  252,  257,  257,  253,  257,
-  257,  257,  254,  257,  257,  257,  257,  255,
-  257,  257,  257,  257,  257,  256,  245,  245,
-  245,  245,  245,  245,  89,  95,  95,  95,
-  96,  95,  95,  96,  95,  96,  97,  95,
-  95,  96,  95,  96,  97,  95,  96,  97,
-  98,  95,  95,  96,  95,  96,  97,  95,
-  96,  97,  98,  95,  96,  97,  98,  99,
-  95,  95,  96,  95,  96,  97,  95,  96,
-  97,  98,  95,  96,  97,  98,  99,  95,
-  96,  97,  98,  99,  100,  95,  95,  96,
-  95,  96,  97,  95,  96,  97,  98,  95,
-  96,  97,  98,  99,  95,  96,  97,  98,
-  99,  100,  95,  96,  97,  98,  99,  100,
-  101,  11,  167,  23,  11,  167,  179,  23,
-  12,  168,  2468,  180,  24,  168,  191,  192,
-  180,  35,  35,  36,  11,  167,  179,  23,
-  12,  1610,  2468,  1676,  24,  168,  2479,  2600,
-  180,  191,  1742,  192,  35,  36,  13,  169,
-  2469,  181,  25,  169,  2490,  2611,  181,  2480,
-  2721,  2601,  193,  193,  37,  169,  203,  204,
-  181,  203,  1808,  204,  205,  205,  193,  47,
-  47,  48,  47,  48,  49,  11,  167,  179,
-  23,  12,  1610,  2468,  1676,  24,  168,  2479,
-  2600,  180,  191,  1742,  192,  35,  36,  13,
-  1611,  2469,  1677,  25,  1621,  1600,  1600,  1687,
-  2480,  1600,  2601,  1743,  1753,  37,  169,  2490,
-  2611,  181,  2491,  1600,  2612,  2721,  2722,  193,
-  203,  1808,  204,  1809,  1819,  205,  47,  48,
-  49,  14,  170,  2470,  182,  26,  170,  2501,
-  2622,  182,  2481,  2732,  2602,  194,  194,  38,
-  170,  2501,  2622,  182,  2502,  1600,  2623,  2732,
-  2733,  194,  2492,  2831,  2613,  2831,  2832,  2723,
-  206,  206,  206,  50,  170,  215,  216,  182,
-  215,  1874,  216,  217,  217,  194,  215,  1874,
-  216,  1875,  1885,  217,  218,  218,  218,  206,
-  59,  59,  60,  59,  60,  61,  59,  60,
-  61,  62,  11,  167,  179,  23,  12,  1610,
-  2468,  1676,  24,  168,  2479,  2600,  180,  191,
-  1742,  192,  35,  36,  13,  1611,  2469,  1677,
-  25,  1621,  3326,  3546,  1687,  2480,  3766,  2601,
-  1743,  1753,  37,  169,  2490,  2611,  181,  2491,
-  3986,  2612,  2721,  2722,  193,  203,  1808,  204,
-  1809,  1819,  205,  47,  48,  49,  14,  1612,
-  2470,  1678,  26,  1622,  3327,  3547,  1688,  2481,
-  3767,  2602,  1744,  1754,  38,  1631,  3336,  3556,
-  1697,  3381,  1600,  1601,  3776,  1601,  1763,  2492,
-  3987,  2613,  3996,  1601,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  1601,
-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
-  60,  61,  62,  15,  171,  2471,  183,  27,
-  171,  2512,  2633,  183,  2482,  2743,  2603,  195,
-  195,  39,  171,  2512,  2633,  183,  2513,  4426,
-  2634,  2743,  2744,  195,  2493,  2842,  2614,  2842,
-  2843,  2724,  207,  207,  207,  51,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2514,  4427,  2635,  4436,  1601,  2745,  2842,  2843,
-  2844,  207,  2504,  2930,  2625,  2930,  2931,  2735,
-  2930,  2931,  2932,  2834,  219,  219,  219,  219,
-  63,  171,  227,  228,  183,  227,  1940,  228,
-  229,  229,  195,  227,  1940,  228,  1941,  1951,
-  229,  230,  230,  230,  207,  227,  1940,  228,
-  1941,  1951,  229,  1942,  1952,  1961,  230,  231,
-  231,  231,  231,  219,  71,  71,  72,  71,
-  72,  73,  71,  72,  73,  74,  71,  72,
-  73,  74,  75,  11,  167,  179,  23,  12,
-  1610,  2468,  1676,  24,  168,  2479,  2600,  180,
-  191,  1742,  192,  35,  36,  13,  1611,  2469,
-  1677,  25,  1621,  3326,  3546,  1687,  2480,  3766,
-  2601,  1743,  1753,  37,  169,  2490,  2611,  181,
-  2491,  3986,  2612,  2721,  2722,  193,  203,  1808,
-  204,  1809,  1819,  205,  47,  48,  49,  14,
-  1612,  2470,  1678,  26,  1622,  3327,  3547,  1688,
-  2481,  3767,  2602,  1744,  1754,  38,  1631,  3336,
-  3556,  1697,  3381,  1600,  3601,  3776,  3821,  1763,
-  2492,  3987,  2613,  3996,  4041,  2723,  1810,  1820,
-  1829,  50,  170,  2501,  2622,  182,  2502,  4206,
-  2623,  2732,  2733,  194,  2503,  4207,  2624,  4216,
-  4261,  2734,  2831,  2832,  2833,  206,  215,  1874,
-  216,  1875,  1885,  217,  1876,  1886,  1895,  218,
-  59,  60,  61,  62,  15,  1613,  2471,  1679,
-  27,  1623,  3328,  3548,  1689,  2482,  3768,  2603,
-  1745,  1755,  39,  1632,  3337,  3557,  1698,  3382,
-  6186,  3602,  3777,  3822,  1764,  2493,  3988,  2614,
-  3997,  4042,  2724,  1811,  1821,  1830,  51,  1640,
-  3345,  3565,  1706,  3390,  6194,  3610,  3785,  3830,
-  1772,  3426,  6230,  3646,  1602,  1601,  1602,  4005,
-  4050,  1602,  1838,  2504,  4208,  2625,  4217,  4262,
-  2735,  4225,  4270,  1602,  2834,  1877,  1887,  1896,
-  1904,  63,  171,  2512,  2633,  183,  2513,  4426,
-  2634,  2743,  2744,  195,  2514,  4427,  2635,  4436,
-  4481,  2745,  2842,  2843,  2844,  207,  2515,  4428,
-  2636,  4437,  4482,  2746,  4445,  4490,  1602,  2845,
-  2930,  2931,  2932,  2933,  219,  227,  1940,  228,
-  1941,  1951,  229,  1942,  1952,  1961,  230,  1943,
-  1953,  1962,  1970,  231,  71,  72,  73,  74,
-  75,  16,  172,  2472,  184,  28,  172,  2523,
-  2644,  184,  2483,  2754,  2604,  196,  196,  40,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2494,  2853,  2615,  2853,  2854,  2725,
-  208,  208,  208,  52,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2525,  4647,
-  2646,  4656,  4701,  2756,  2853,  2854,  2855,  208,
-  2505,  2941,  2626,  2941,  2942,  2736,  2941,  2942,
-  2943,  2835,  220,  220,  220,  220,  64,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2525,  4647,  2646,  4656,  4701,  2756,  2853,
-  2854,  2855,  208,  2526,  4648,  2647,  4657,  4702,
-  2757,  4665,  4710,  1602,  2856,  2941,  2942,  2943,
-  2944,  220,  2516,  3018,  2637,  3018,  3019,  2747,
-  3018,  3019,  3020,  2846,  3018,  3019,  3020,  3021,
-  2934,  232,  232,  232,  232,  232,  76,  172,
-  239,  240,  184,  239,  2006,  240,  241,  241,
-  196,  239,  2006,  240,  2007,  2017,  241,  242,
-  242,  242,  208,  239,  2006,  240,  2007,  2017,
-  241,  2008,  2018,  2027,  242,  243,  243,  243,
-  243,  220,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  2009,  2019,  2028,  2036,
-  243,  244,  244,  244,  244,  244,  232,  83,
-  83,  84,  83,  84,  85,  83,  84,  85,
-  86,  83,  84,  85,  86,  87,  83,  84,
-  85,  86,  87,  88,  11,  167,  179,  23,
-  12,  1610,  2468,  1676,  24,  168,  2479,  2600,
-  180,  191,  1742,  192,  35,  36,  13,  1611,
-  2469,  1677,  25,  1621,  3326,  3546,  1687,  2480,
-  3766,  2601,  1743,  1753,  37,  169,  2490,  2611,
-  181,  2491,  3986,  2612,  2721,  2722,  193,  203,
-  1808,  204,  1809,  1819,  205,  47,  48,  49,
-  14,  1612,  2470,  1678,  26,  1622,  3327,  3547,
-  1688,  2481,  3767,  2602,  1744,  1754,  38,  1631,
-  3336,  3556,  1697,  3381,  1600,  3601,  3776,  3821,
-  1763,  2492,  3987,  2613,  3996,  4041,  2723,  1810,
-  1820,  1829,  50,  170,  2501,  2622,  182,  2502,
-  4206,  2623,  2732,  2733,  194,  2503,  4207,  2624,
-  4216,  4261,  2734,  2831,  2832,  2833,  206,  215,
-  1874,  216,  1875,  1885,  217,  1876,  1886,  1895,
-  218,  59,  60,  61,  62,  15,  1613,  2471,
-  1679,  27,  1623,  3328,  3548,  1689,  2482,  3768,
-  2603,  1745,  1755,  39,  1632,  3337,  3557,  1698,
-  3382,  6186,  3602,  3777,  3822,  1764,  2493,  3988,
-  2614,  3997,  4042,  2724,  1811,  1821,  1830,  51,
-  1640,  3345,  3565,  1706,  3390,  6194,  3610,  3785,
-  3830,  1772,  3426,  6230,  3646,  6350,  1601,  3866,
-  4005,  4050,  4086,  1838,  2504,  4208,  2625,  4217,
-  4262,  2735,  4225,  4270,  4306,  2834,  1877,  1887,
-  1896,  1904,  63,  171,  2512,  2633,  183,  2513,
-  4426,  2634,  2743,  2744,  195,  2514,  4427,  2635,
-  4436,  4481,  2745,  2842,  2843,  2844,  207,  2515,
-  4428,  2636,  4437,  4482,  2746,  4445,  4490,  4526,
-  2845,  2930,  2931,  2932,  2933,  219,  227,  1940,
-  228,  1941,  1951,  229,  1942,  1952,  1961,  230,
-  1943,  1953,  1962,  1970,  231,  71,  72,  73,
-  74,  75,  16,  1614,  2472,  1680,  28,  1624,
-  3329,  3549,  1690,  2483,  3769,  2604,  1746,  1756,
-  40,  1633,  3338,  3558,  1699,  3383,  6187,  3603,
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-  74,  71,  72,  73,  74,  75,  11,  167,
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-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
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-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
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-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
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-  4207,  2624,  4216,  4261,  2734,  2831,  2832,  2833,
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-  1886,  1895,  218,  59,  60,  61,  62,  15,
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-  244,  232,  83,  83,  84,  83,  84,  85,
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-  87,  83,  84,  85,  86,  87,  88,  11,
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-  168,  2479,  2600,  180,  191,  1742,  192,  35,
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-  3546,  1687,  2480,  3766,  2601,  1743,  1753,  37,
-  169,  2490,  2611,  181,  2491,  3986,  2612,  2721,
-  2722,  193,  203,  1808,  204,  1809,  1819,  205,
-  47,  48,  49,  14,  1612,  2470,  1678,  26,
-  1622,  3327,  3547,  1688,  2481,  3767,  2602,  1744,
-  1754,  38,  1631,  3336,  3556,  1697,  3381,  1600,
-  3601,  3776,  3821,  1763,  2492,  3987,  2613,  3996,
-  4041,  2723,  1810,  1820,  1829,  50,  170,  2501,
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-  2503,  4207,  2624,  4216,  4261,  2734,  2831,  2832,
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-  1876,  1886,  1895,  218,  59,  60,  61,  62,
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-  1689,  2482,  3768,  2603,  1745,  1755,  39,  1632,
-  3337,  3557,  1698,  3382,  6186,  3602,  3777,  3822,
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-  6194,  3610,  3785,  3830,  1772,  3426,  6230,  3646,
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-  2834,  1877,  1887,  1896,  1904,  63,  171,  2512,
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-  2514,  4427,  2635,  4436,  4481,  2745,  2842,  2843,
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-  1952,  1961,  230,  1943,  1953,  1962,  1970,  231,
-  71,  72,  73,  74,  75,  16,  1614,  2472,
-  1680,  28,  1624,  3329,  3549,  1690,  2483,  3769,
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-  3831,  1773,  3427,  6231,  3647,  6351,  6679,  3867,
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-  6358,  6686,  3874,  4013,  4058,  4094,  1846,  3462,
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-  2637,  4438,  4483,  2747,  4446,  4491,  4527,  2846,
-  4453,  4498,  4534,  1603,  2934,  1944,  1954,  1963,
-  1971,  1978,  76,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2526,
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-  4673,  4718,  4754,  1603,  2945,  3018,  3019,  3020,
-  3021,  3022,  232,  239,  2006,  240,  2007,  2017,
-  241,  2008,  2018,  2027,  242,  2009,  2019,  2028,
-  2036,  243,  2010,  2020,  2029,  2037,  2044,  244,
-  83,  84,  85,  86,  87,  88,  17,  173,
-  2473,  185,  29,  173,  2534,  2655,  185,  2484,
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-  1632,  3337,  3557,  1698,  3382,  6186,  3602,  3777,
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-  2846,  4453,  4498,  4534,  4562,  2934,  1944,  1954,
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-  2857,  4673,  4718,  4754,  4782,  2945,  3018,  3019,
-  3020,  3021,  3022,  232,  239,  2006,  240,  2007,
-  2017,  241,  2008,  2018,  2027,  242,  2009,  2019,
-  2028,  2036,  243,  2010,  2020,  2029,  2037,  2044,
-  244,  83,  84,  85,  86,  87,  88,  17,
-  1615,  2473,  1681,  29,  1625,  3330,  3550,  1691,
-  2484,  3770,  2605,  1747,  1757,  41,  1634,  3339,
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-  6680,  3868,  4007,  4052,  4088,  1840,  2506,  4210,
-  2627,  4219,  4264,  2737,  4227,  4272,  4308,  2836,
-  1879,  1889,  1898,  1906,  65,  1649,  3354,  3574,
-  1715,  3399,  6203,  3619,  3794,  3839,  1781,  3435,
-  6239,  3655,  6359,  6687,  3875,  4014,  4059,  4095,
-  1847,  3463,  6267,  3683,  6387,  6715,  3903,  6471,
-  6799,  7008,  4123,  4234,  4279,  4315,  4343,  1913,
-  2517,  4430,  2638,  4439,  4484,  2748,  4447,  4492,
-  4528,  2847,  4454,  4499,  4535,  4563,  2935,  1945,
-  1955,  1964,  1972,  1979,  77,  1606,  1606,  1606,
-  1606,  1606,  1606,  1606,  1606,  1606,  1606,  1606,
-  1606,  1606,  1606,  1606,  1606,  1606,  1606,  1606,
-  1606,  1606,  1606,  1606,  1606,  1606,  1606,  1606,
-  1606,  1606,  1606,  1606,  1606,  1606,  1606,  1606,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1605,  1604,  1604,  1604,  1603,  1604,  1605,
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-  1604,  1605,  1606,  1606,  1606,  1606,  1606,  1605,
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-  2611,  181,  2480,  2721,  2601,  193,  193,  37,
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-  215,  216,  182,  215,  1874,  216,  217,  217,
-  194,  215,  1874,  216,  1875,  1885,  217,  218,
-  218,  218,  206,  59,  59,  60,  59,  60,
-  61,  59,  60,  61,  62,  11,  167,  179,
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-  2842,  2614,  2842,  2843,  2724,  207,  207,  207,
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-  2743,  2744,  195,  2514,  4427,  2635,  4436,  1601,
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-  2930,  2931,  2735,  2930,  2931,  2932,  2834,  219,
-  219,  219,  219,  63,  171,  227,  228,  183,
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-  228,  1941,  1951,  229,  230,  230,  230,  207,
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-  1961,  230,  231,  231,  231,  231,  219,  71,
-  71,  72,  71,  72,  73,  71,  72,  73,
-  74,  71,  72,  73,  74,  75,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  3601,
-  3776,  3821,  1763,  2492,  3987,  2613,  3996,  4041,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  4261,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  1613,  2471,  1679,  27,  1623,  3328,  3548,  1689,
-  2482,  3768,  2603,  1745,  1755,  39,  1632,  3337,
-  3557,  1698,  3382,  6186,  3602,  3777,  3822,  1764,
-  2493,  3988,  2614,  3997,  4042,  2724,  1811,  1821,
-  1830,  51,  1640,  3345,  3565,  1706,  3390,  6194,
-  3610,  3785,  3830,  1772,  1603,  1603,  1603,  1602,
-  1601,  1602,  1603,  1603,  1602,  1603,  2504,  4208,
-  2625,  4217,  4262,  2735,  1603,  1603,  1602,  1603,
-  1877,  1887,  1896,  1603,  63,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  4481,  2745,  2842,  2843,  2844,
-  207,  2515,  4428,  2636,  4437,  4482,  2746,  1603,
-  1603,  1602,  1603,  2930,  2931,  2932,  1603,  219,
-  227,  1940,  228,  1941,  1951,  229,  1942,  1952,
-  1961,  230,  1943,  1953,  1962,  1603,  231,  71,
-  72,  73,  74,  75,  16,  172,  2472,  184,
-  28,  172,  2523,  2644,  184,  2483,  2754,  2604,
-  196,  196,  40,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2494,  2853,  2615,
-  2853,  2854,  2725,  208,  208,  208,  52,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2525,  4647,  2646,  4656,  4701,  2756,  2853,
-  2854,  2855,  208,  2505,  2941,  2626,  2941,  2942,
-  2736,  2941,  2942,  2943,  2835,  220,  220,  220,
-  220,  64,  172,  2523,  2644,  184,  2524,  4646,
-  2645,  2754,  2755,  196,  2525,  4647,  2646,  4656,
-  4701,  2756,  2853,  2854,  2855,  208,  2526,  4648,
-  2647,  4657,  4702,  2757,  1603,  1603,  1602,  1603,
-  2941,  2942,  2943,  1603,  220,  2516,  3018,  2637,
-  3018,  3019,  2747,  3018,  3019,  3020,  2846,  3018,
-  3019,  3020,  1603,  2934,  232,  232,  232,  232,
-  232,  76,  172,  239,  240,  184,  239,  2006,
-  240,  241,  241,  196,  239,  2006,  240,  2007,
-  2017,  241,  242,  242,  242,  208,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  243,  243,  243,  243,  220,  239,  2006,  240,
-  2007,  2017,  241,  2008,  2018,  2027,  242,  2009,
-  2019,  2028,  1603,  243,  244,  244,  244,  244,
-  244,  232,  83,  83,  84,  83,  84,  85,
-  83,  84,  85,  86,  83,  84,  85,  86,
-  87,  83,  84,  85,  86,  87,  88,  11,
-  167,  179,  23,  12,  173,  2468,  185,  24,
-  168,  2479,  2600,  180,  191,  197,  192,  35,
-  36,  13,  173,  2469,  185,  25,  173,  2534,
-  2655,  185,  2480,  2765,  2601,  197,  197,  37,
-  169,  2490,  2611,  181,  2491,  2864,  2612,  2721,
-  2722,  193,  203,  209,  204,  209,  209,  205,
-  47,  48,  49,  14,  173,  2470,  185,  26,
-  173,  2534,  2655,  185,  2481,  2765,  2602,  197,
-  197,  38,  173,  2534,  2655,  185,  2535,  1600,
-  2656,  2765,  2766,  197,  2492,  2864,  2613,  2864,
-  2865,  2723,  209,  209,  209,  50,  170,  2501,
-  2622,  182,  2502,  2952,  2623,  2732,  2733,  194,
-  2503,  2952,  2624,  2952,  2953,  2734,  2831,  2832,
-  2833,  206,  215,  221,  216,  221,  221,  217,
-  221,  221,  221,  218,  59,  60,  61,  62,
-  15,  173,  2471,  185,  27,  173,  2534,  2655,
-  185,  2482,  2765,  2603,  197,  197,  39,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2493,  2864,  2614,  2864,  2865,  2724,  209,
-  209,  209,  51,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2536,  4867,  2657,
-  4876,  1601,  2767,  2864,  2865,  2866,  209,  2504,
-  2952,  2625,  2952,  2953,  2735,  2952,  2953,  2954,
-  2834,  221,  221,  221,  221,  63,  171,  2512,
-  2633,  183,  2513,  3029,  2634,  2743,  2744,  195,
-  2514,  3029,  2635,  3029,  3030,  2745,  2842,  2843,
-  2844,  207,  2515,  3029,  2636,  3029,  3030,  2746,
-  3029,  3030,  3031,  2845,  2930,  2931,  2932,  2933,
-  219,  227,  233,  228,  233,  233,  229,  233,
-  233,  233,  230,  233,  233,  233,  233,  231,
-  71,  72,  73,  74,  75,  16,  173,  2472,
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-  253,  252,  197,  197,  41,  173,  251,  252,
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-  251,  2072,  252,  253,  253,  197,  251,  2072,
-  252,  2073,  2083,  253,  254,  254,  254,  209,
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-  256,  252,  256,  256,  253,  256,  256,  256,
-  254,  256,  256,  256,  256,  255,  233,  233,
-  233,  233,  233,  77,  173,  251,  252,  185,
-  251,  2072,  252,  253,  253,  197,  251,  2072,
-  252,  2073,  2083,  253,  254,  254,  254,  209,
-  251,  2072,  252,  2073,  2083,  253,  2074,  2084,
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-  2072,  252,  2073,  2083,  253,  2074,  2084,  2093,
-  254,  2075,  2085,  2094,  1603,  255,  256,  256,
-  256,  256,  256,  233,  251,  257,  252,  257,
-  257,  253,  257,  257,  257,  254,  257,  257,
-  257,  257,  255,  257,  257,  257,  257,  257,
-  256,  245,  245,  245,  245,  245,  245,  89,
-  95,  95,  95,  96,  95,  95,  96,  95,
-  96,  97,  95,  95,  96,  95,  96,  97,
-  95,  96,  97,  98,  95,  95,  96,  95,
-  96,  97,  95,  96,  97,  98,  95,  96,
-  97,  98,  99,  95,  95,  96,  95,  96,
-  97,  95,  96,  97,  98,  95,  96,  97,
-  98,  99,  95,  96,  97,  98,  99,  100,
-  95,  95,  96,  95,  96,  97,  95,  96,
-  97,  98,  95,  96,  97,  98,  99,  95,
-  96,  97,  98,  99,  100,  95,  96,  97,
-  98,  99,  100,  101,  11,  167,  23,  11,
-  167,  179,  23,  12,  168,  2468,  180,  24,
-  168,  191,  192,  180,  35,  35,  36,  11,
-  167,  179,  23,  12,  1610,  2468,  1676,  24,
-  168,  2479,  2600,  180,  191,  1742,  192,  35,
-  36,  13,  169,  2469,  181,  25,  169,  2490,
-  2611,  181,  2480,  2721,  2601,  193,  193,  37,
-  169,  203,  204,  181,  203,  1808,  204,  205,
-  205,  193,  47,  47,  48,  47,  48,  49,
-  11,  167,  179,  23,  12,  1610,  2468,  1676,
-  24,  168,  2479,  2600,  180,  191,  1742,  192,
-  35,  36,  13,  1611,  2469,  1677,  25,  1621,
-  1600,  1600,  1687,  2480,  1600,  2601,  1743,  1753,
-  37,  169,  2490,  2611,  181,  2491,  1600,  2612,
-  2721,  2722,  193,  203,  1808,  204,  1809,  1819,
-  205,  47,  48,  49,  14,  170,  2470,  182,
-  26,  170,  2501,  2622,  182,  2481,  2732,  2602,
-  194,  194,  38,  170,  2501,  2622,  182,  2502,
-  1600,  2623,  2732,  2733,  194,  2492,  2831,  2613,
-  2831,  2832,  2723,  206,  206,  206,  50,  170,
-  215,  216,  182,  215,  1874,  216,  217,  217,
-  194,  215,  1874,  216,  1875,  1885,  217,  218,
-  218,  218,  206,  59,  59,  60,  59,  60,
-  61,  59,  60,  61,  62,  11,  167,  179,
-  23,  12,  1610,  2468,  1676,  24,  168,  2479,
-  2600,  180,  191,  1742,  192,  35,  36,  13,
-  1611,  2469,  1677,  25,  1621,  3326,  3546,  1687,
-  2480,  3766,  2601,  1743,  1753,  37,  169,  2490,
-  2611,  181,  2491,  3986,  2612,  2721,  2722,  193,
-  203,  1808,  204,  1809,  1819,  205,  47,  48,
-  49,  14,  1612,  2470,  1678,  26,  1622,  3327,
-  3547,  1688,  2481,  3767,  2602,  1744,  1754,  38,
-  1631,  3336,  3556,  1697,  3381,  1600,  1601,  3776,
-  1601,  1763,  2492,  3987,  2613,  3996,  1601,  2723,
-  1810,  1820,  1829,  50,  170,  2501,  2622,  182,
-  2502,  4206,  2623,  2732,  2733,  194,  2503,  4207,
-  2624,  4216,  1601,  2734,  2831,  2832,  2833,  206,
-  215,  1874,  216,  1875,  1885,  217,  1876,  1886,
-  1895,  218,  59,  60,  61,  62,  15,  171,
-  2471,  183,  27,  171,  2512,  2633,  183,  2482,
-  2743,  2603,  195,  195,  39,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2493,
-  2842,  2614,  2842,  2843,  2724,  207,  207,  207,
-  51,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2514,  4427,  2635,  4436,  1601,
-  2745,  2842,  2843,  2844,  207,  2504,  2930,  2625,
-  2930,  2931,  2735,  2930,  2931,  2932,  2834,  219,
-  219,  219,  219,  63,  171,  227,  228,  183,
-  227,  1940,  228,  229,  229,  195,  227,  1940,
-  228,  1941,  1951,  229,  230,  230,  230,  207,
-  227,  1940,  228,  1941,  1951,  229,  1942,  1952,
-  1961,  230,  231,  231,  231,  231,  219,  71,
-  71,  72,  71,  72,  73,  71,  72,  73,
-  74,  71,  72,  73,  74,  75,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  3601,
-  3776,  3821,  1763,  2492,  3987,  2613,  3996,  4041,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  4261,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  1613,  2471,  1679,  27,  1623,  3328,  3548,  1689,
-  2482,  3768,  2603,  1745,  1755,  39,  1632,  3337,
-  3557,  1698,  3382,  6186,  3602,  3777,  3822,  1764,
-  2493,  3988,  2614,  3997,  4042,  2724,  1811,  1821,
-  1830,  51,  1640,  3345,  3565,  1706,  3390,  6194,
-  3610,  3785,  3830,  1772,  3426,  6230,  3646,  1602,
-  1601,  1602,  4005,  4050,  1602,  1838,  2504,  4208,
-  2625,  4217,  4262,  2735,  4225,  4270,  1602,  2834,
-  1877,  1887,  1896,  1904,  63,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  4481,  2745,  2842,  2843,  2844,
-  207,  2515,  4428,  2636,  4437,  4482,  2746,  4445,
-  4490,  1602,  2845,  2930,  2931,  2932,  2933,  219,
-  227,  1940,  228,  1941,  1951,  229,  1942,  1952,
-  1961,  230,  1943,  1953,  1962,  1970,  231,  71,
-  72,  73,  74,  75,  16,  172,  2472,  184,
-  28,  172,  2523,  2644,  184,  2483,  2754,  2604,
-  196,  196,  40,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2494,  2853,  2615,
-  2853,  2854,  2725,  208,  208,  208,  52,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2525,  4647,  2646,  4656,  4701,  2756,  2853,
-  2854,  2855,  208,  2505,  2941,  2626,  2941,  2942,
-  2736,  2941,  2942,  2943,  2835,  220,  220,  220,
-  220,  64,  172,  2523,  2644,  184,  2524,  4646,
-  2645,  2754,  2755,  196,  2525,  4647,  2646,  4656,
-  4701,  2756,  2853,  2854,  2855,  208,  2526,  4648,
-  2647,  4657,  4702,  2757,  4665,  4710,  1602,  2856,
-  2941,  2942,  2943,  2944,  220,  2516,  3018,  2637,
-  3018,  3019,  2747,  3018,  3019,  3020,  2846,  3018,
-  3019,  3020,  3021,  2934,  232,  232,  232,  232,
-  232,  76,  172,  239,  240,  184,  239,  2006,
-  240,  241,  241,  196,  239,  2006,  240,  2007,
-  2017,  241,  242,  242,  242,  208,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  243,  243,  243,  243,  220,  239,  2006,  240,
-  2007,  2017,  241,  2008,  2018,  2027,  242,  2009,
-  2019,  2028,  2036,  243,  244,  244,  244,  244,
-  244,  232,  83,  83,  84,  83,  84,  85,
-  83,  84,  85,  86,  83,  84,  85,  86,
-  87,  83,  84,  85,  86,  87,  88,  11,
-  167,  179,  23,  12,  1610,  2468,  1676,  24,
-  168,  2479,  2600,  180,  191,  1742,  192,  35,
-  36,  13,  1611,  2469,  1677,  25,  1621,  3326,
-  3546,  1687,  2480,  3766,  2601,  1743,  1753,  37,
-  169,  2490,  2611,  181,  2491,  3986,  2612,  2721,
-  2722,  193,  203,  1808,  204,  1809,  1819,  205,
-  47,  48,  49,  14,  1612,  2470,  1678,  26,
-  1622,  3327,  3547,  1688,  2481,  3767,  2602,  1744,
-  1754,  38,  1631,  3336,  3556,  1697,  3381,  1600,
-  3601,  3776,  3821,  1763,  2492,  3987,  2613,  3996,
-  4041,  2723,  1810,  1820,  1829,  50,  170,  2501,
-  2622,  182,  2502,  4206,  2623,  2732,  2733,  194,
-  2503,  4207,  2624,  4216,  4261,  2734,  2831,  2832,
-  2833,  206,  215,  1874,  216,  1875,  1885,  217,
-  1876,  1886,  1895,  218,  59,  60,  61,  62,
-  15,  1613,  2471,  1679,  27,  1623,  3328,  3548,
-  1689,  2482,  3768,  2603,  1745,  1755,  39,  1632,
-  3337,  3557,  1698,  3382,  6186,  3602,  3777,  3822,
-  1764,  2493,  3988,  2614,  3997,  4042,  2724,  1811,
-  1821,  1830,  51,  1640,  3345,  3565,  1706,  3390,
-  6194,  3610,  3785,  3830,  1772,  3426,  6230,  3646,
-  6350,  1601,  3866,  4005,  4050,  4086,  1838,  2504,
-  4208,  2625,  4217,  4262,  2735,  4225,  4270,  4306,
-  2834,  1877,  1887,  1896,  1904,  63,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2514,  4427,  2635,  4436,  4481,  2745,  2842,  2843,
-  2844,  207,  2515,  4428,  2636,  4437,  4482,  2746,
-  4445,  4490,  4526,  2845,  2930,  2931,  2932,  2933,
-  219,  227,  1940,  228,  1941,  1951,  229,  1942,
-  1952,  1961,  230,  1943,  1953,  1962,  1970,  231,
-  71,  72,  73,  74,  75,  16,  1614,  2472,
-  1680,  28,  1624,  3329,  3549,  1690,  2483,  3769,
-  2604,  1746,  1756,  40,  1633,  3338,  3558,  1699,
-  3383,  6187,  3603,  3778,  3823,  1765,  2494,  3989,
-  2615,  3998,  4043,  2725,  1812,  1822,  1831,  52,
-  1641,  3346,  3566,  1707,  3391,  6195,  3611,  3786,
-  3831,  1773,  3427,  6231,  3647,  6351,  6679,  3867,
-  4006,  4051,  4087,  1839,  2505,  4209,  2626,  4218,
-  4263,  2736,  4226,  4271,  4307,  2835,  1878,  1888,
-  1897,  1905,  64,  1648,  3353,  3573,  1714,  3398,
-  6202,  3618,  3793,  3838,  1780,  3434,  6238,  3654,
-  6358,  6686,  3874,  4013,  4058,  4094,  1846,  1604,
-  1604,  1604,  1604,  1604,  1604,  1603,  1603,  1602,
-  1603,  1604,  1604,  1604,  1603,  1604,  2516,  4429,
-  2637,  4438,  4483,  2747,  4446,  4491,  4527,  2846,
-  1604,  1604,  1604,  1603,  1604,  1944,  1954,  1963,
-  1971,  1604,  76,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2526,
-  4648,  2647,  4657,  4702,  2757,  4665,  4710,  4746,
-  2856,  2941,  2942,  2943,  2944,  220,  2527,  4649,
-  2648,  4658,  4703,  2758,  4666,  4711,  4747,  2857,
-  1604,  1604,  1604,  1603,  1604,  3018,  3019,  3020,
-  3021,  1604,  232,  239,  2006,  240,  2007,  2017,
-  241,  2008,  2018,  2027,  242,  2009,  2019,  2028,
-  2036,  243,  2010,  2020,  2029,  2037,  1604,  244,
-  83,  84,  85,  86,  87,  88,  17,  173,
-  2473,  185,  29,  173,  2534,  2655,  185,  2484,
-  2765,  2605,  197,  197,  41,  173,  2534,  2655,
-  185,  2535,  4866,  2656,  2765,  2766,  197,  2495,
-  2864,  2616,  2864,  2865,  2726,  209,  209,  209,
-  53,  173,  2534,  2655,  185,  2535,  4866,  2656,
-  2765,  2766,  197,  2536,  4867,  2657,  4876,  4921,
-  2767,  2864,  2865,  2866,  209,  2506,  2952,  2627,
-  2952,  2953,  2737,  2952,  2953,  2954,  2836,  221,
-  221,  221,  221,  65,  173,  2534,  2655,  185,
-  2535,  4866,  2656,  2765,  2766,  197,  2536,  4867,
-  2657,  4876,  4921,  2767,  2864,  2865,  2866,  209,
-  2537,  4868,  2658,  4877,  4922,  2768,  4885,  4930,
-  4966,  2867,  2952,  2953,  2954,  2955,  221,  2517,
-  3029,  2638,  3029,  3030,  2748,  3029,  3030,  3031,
-  2847,  3029,  3030,  3031,  3032,  2935,  233,  233,
-  233,  233,  233,  77,  173,  2534,  2655,  185,
-  2535,  4866,  2656,  2765,  2766,  197,  2536,  4867,
-  2657,  4876,  4921,  2767,  2864,  2865,  2866,  209,
-  2537,  4868,  2658,  4877,  4922,  2768,  4885,  4930,
-  4966,  2867,  2952,  2953,  2954,  2955,  221,  2538,
-  4869,  2659,  4878,  4923,  2769,  4886,  4931,  4967,
-  2868,  1604,  1604,  1604,  1603,  1604,  3029,  3030,
-  3031,  3032,  1604,  233,  2528,  3095,  2649,  3095,
-  3096,  2759,  3095,  3096,  3097,  2858,  3095,  3096,
-  3097,  3098,  2946,  3095,  3096,  3097,  3098,  1604,
-  3023,  245,  245,  245,  245,  245,  245,  89,
-  173,  251,  252,  185,  251,  2072,  252,  253,
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-  1631,  3336,  3556,  1697,  3381,  1600,  3601,  3776,
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-  3988,  2614,  3997,  4042,  2724,  1811,  1821,  1830,
-  51,  1640,  3345,  3565,  1706,  3390,  6194,  3610,
-  3785,  3830,  1772,  3426,  6230,  3646,  6350,  1601,
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-  4217,  4262,  2735,  4225,  4270,  4306,  2834,  1877,
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-  2635,  4436,  4481,  2745,  2842,  2843,  2844,  207,
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-  4526,  2845,  2930,  2931,  2932,  2933,  219,  227,
-  1940,  228,  1941,  1951,  229,  1942,  1952,  1961,
-  230,  1943,  1953,  1962,  1970,  231,  71,  72,
-  73,  74,  75,  16,  1614,  2472,  1680,  28,
-  1624,  3329,  3549,  1690,  2483,  3769,  2604,  1746,
-  1756,  40,  1633,  3338,  3558,  1699,  3383,  6187,
-  3603,  3778,  3823,  1765,  2494,  3989,  2615,  3998,
-  4043,  2725,  1812,  1822,  1831,  52,  1641,  3346,
-  3566,  1707,  3391,  6195,  3611,  3786,  3831,  1773,
-  3427,  6231,  3647,  6351,  6679,  3867,  4006,  4051,
-  4087,  1839,  2505,  4209,  2626,  4218,  4263,  2736,
-  4226,  4271,  4307,  2835,  1878,  1888,  1897,  1905,
-  64,  1648,  3353,  3573,  1714,  3398,  6202,  3618,
-  3793,  3838,  1780,  3434,  6238,  3654,  6358,  6686,
-  3874,  4013,  4058,  4094,  1846,  3462,  6266,  3682,
-  6386,  6714,  3902,  1603,  1603,  1602,  1603,  4233,
-  4278,  4314,  1603,  1912,  2516,  4429,  2637,  4438,
-  4483,  2747,  4446,  4491,  4527,  2846,  4453,  4498,
-  4534,  1603,  2934,  1944,  1954,  1963,  1971,  1978,
-  76,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2525,  4647,  2646,  4656,  4701,
-  2756,  2853,  2854,  2855,  208,  2526,  4648,  2647,
-  4657,  4702,  2757,  4665,  4710,  4746,  2856,  2941,
-  2942,  2943,  2944,  220,  2527,  4649,  2648,  4658,
-  4703,  2758,  4666,  4711,  4747,  2857,  4673,  4718,
-  4754,  1603,  2945,  3018,  3019,  3020,  3021,  3022,
-  232,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  2010,  2020,  2029,  2037,  2044,  244,  83,  84,
-  85,  86,  87,  88,  17,  173,  2473,  185,
-  29,  173,  2534,  2655,  185,  2484,  2765,  2605,
-  197,  197,  41,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2495,  2864,  2616,
-  2864,  2865,  2726,  209,  209,  209,  53,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2536,  4867,  2657,  4876,  4921,  2767,  2864,
-  2865,  2866,  209,  2506,  2952,  2627,  2952,  2953,
-  2737,  2952,  2953,  2954,  2836,  221,  221,  221,
-  221,  65,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2537,  4868,
-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2517,  3029,  2638,
-  3029,  3030,  2748,  3029,  3030,  3031,  2847,  3029,
-  3030,  3031,  3032,  2935,  233,  233,  233,  233,
-  233,  77,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2537,  4868,
-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2538,  4869,  2659,
-  4878,  4923,  2769,  4886,  4931,  4967,  2868,  4893,
-  4938,  4974,  1603,  2956,  3029,  3030,  3031,  3032,
-  3033,  233,  2528,  3095,  2649,  3095,  3096,  2759,
-  3095,  3096,  3097,  2858,  3095,  3096,  3097,  3098,
-  2946,  3095,  3096,  3097,  3098,  3099,  3023,  245,
-  245,  245,  245,  245,  245,  89,  173,  251,
-  252,  185,  251,  2072,  252,  253,  253,  197,
-  251,  2072,  252,  2073,  2083,  253,  254,  254,
-  254,  209,  251,  2072,  252,  2073,  2083,  253,
-  2074,  2084,  2093,  254,  255,  255,  255,  255,
-  221,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  2075,  2085,  2094,  2102,  255,
-  256,  256,  256,  256,  256,  233,  251,  2072,
-  252,  2073,  2083,  253,  2074,  2084,  2093,  254,
-  2075,  2085,  2094,  2102,  255,  2076,  2086,  2095,
-  2103,  2110,  256,  257,  257,  257,  257,  257,
-  257,  245,  95,  95,  96,  95,  96,  97,
-  95,  96,  97,  98,  95,  96,  97,  98,
-  99,  95,  96,  97,  98,  99,  100,  95,
-  96,  97,  98,  99,  100,  101,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  3601,
-  3776,  3821,  1763,  2492,  3987,  2613,  3996,  4041,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  4261,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  1613,  2471,  1679,  27,  1623,  3328,  3548,  1689,
-  2482,  3768,  2603,  1745,  1755,  39,  1632,  3337,
-  3557,  1698,  3382,  6186,  3602,  3777,  3822,  1764,
-  2493,  3988,  2614,  3997,  4042,  2724,  1811,  1821,
-  1830,  51,  1640,  3345,  3565,  1706,  3390,  6194,
-  3610,  3785,  3830,  1772,  3426,  6230,  3646,  6350,
-  1601,  3866,  4005,  4050,  4086,  1838,  2504,  4208,
-  2625,  4217,  4262,  2735,  4225,  4270,  4306,  2834,
-  1877,  1887,  1896,  1904,  63,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  4481,  2745,  2842,  2843,  2844,
-  207,  2515,  4428,  2636,  4437,  4482,  2746,  4445,
-  4490,  4526,  2845,  2930,  2931,  2932,  2933,  219,
-  227,  1940,  228,  1941,  1951,  229,  1942,  1952,
-  1961,  230,  1943,  1953,  1962,  1970,  231,  71,
-  72,  73,  74,  75,  16,  1614,  2472,  1680,
-  28,  1624,  3329,  3549,  1690,  2483,  3769,  2604,
-  1746,  1756,  40,  1633,  3338,  3558,  1699,  3383,
-  6187,  3603,  3778,  3823,  1765,  2494,  3989,  2615,
-  3998,  4043,  2725,  1812,  1822,  1831,  52,  1641,
-  3346,  3566,  1707,  3391,  6195,  3611,  3786,  3831,
-  1773,  3427,  6231,  3647,  6351,  6679,  3867,  4006,
-  4051,  4087,  1839,  2505,  4209,  2626,  4218,  4263,
-  2736,  4226,  4271,  4307,  2835,  1878,  1888,  1897,
-  1905,  64,  1648,  3353,  3573,  1714,  3398,  6202,
-  3618,  3793,  3838,  1780,  3434,  6238,  3654,  6358,
-  6686,  3874,  4013,  4058,  4094,  1846,  3462,  6266,
-  3682,  6386,  6714,  3902,  6470,  6798,  1602,  4122,
-  4233,  4278,  4314,  4342,  1912,  2516,  4429,  2637,
-  4438,  4483,  2747,  4446,  4491,  4527,  2846,  4453,
-  4498,  4534,  4562,  2934,  1944,  1954,  1963,  1971,
-  1978,  76,  172,  2523,  2644,  184,  2524,  4646,
-  2645,  2754,  2755,  196,  2525,  4647,  2646,  4656,
-  4701,  2756,  2853,  2854,  2855,  208,  2526,  4648,
-  2647,  4657,  4702,  2757,  4665,  4710,  4746,  2856,
-  2941,  2942,  2943,  2944,  220,  2527,  4649,  2648,
-  4658,  4703,  2758,  4666,  4711,  4747,  2857,  4673,
-  4718,  4754,  4782,  2945,  3018,  3019,  3020,  3021,
-  3022,  232,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  2009,  2019,  2028,  2036,
-  243,  2010,  2020,  2029,  2037,  2044,  244,  83,
-  84,  85,  86,  87,  88,  17,  1615,  2473,
-  1681,  29,  1625,  3330,  3550,  1691,  2484,  3770,
-  2605,  1747,  1757,  41,  1634,  3339,  3559,  1700,
-  3384,  6188,  3604,  3779,  3824,  1766,  2495,  3990,
-  2616,  3999,  4044,  2726,  1813,  1823,  1832,  53,
-  1642,  3347,  3567,  1708,  3392,  6196,  3612,  3787,
-  3832,  1774,  3428,  6232,  3648,  6352,  6680,  3868,
-  4007,  4052,  4088,  1840,  2506,  4210,  2627,  4219,
-  4264,  2737,  4227,  4272,  4308,  2836,  1879,  1889,
-  1898,  1906,  65,  1649,  3354,  3574,  1715,  3399,
-  6203,  3619,  3794,  3839,  1781,  3435,  6239,  3655,
-  6359,  6687,  3875,  4014,  4059,  4095,  1847,  3463,
-  6267,  3683,  6387,  6715,  3903,  6471,  6799,  7008,
-  4123,  4234,  4279,  4315,  4343,  1913,  2517,  4430,
-  2638,  4439,  4484,  2748,  4447,  4492,  4528,  2847,
-  4454,  4499,  4535,  4563,  2935,  1945,  1955,  1964,
-  1972,  1979,  77,  1655,  3360,  3580,  1721,  3405,
-  6209,  3625,  3800,  3845,  1787,  3441,  6245,  3661,
-  6365,  6693,  3881,  4020,  4065,  4101,  1853,  3469,
-  6273,  3689,  6393,  6721,  3909,  6477,  6805,  7014,
-  4129,  4240,  4285,  4321,  4349,  1919,  1605,  1605,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1604,  1604,  1604,  1603,  1604,  1605,  1605,  1605,
-  1605,  1604,  1605,  2528,  4650,  2649,  4659,  4704,
-  2759,  4667,  4712,  4748,  2858,  4674,  4719,  4755,
-  4783,  2946,  1605,  1605,  1605,  1605,  1604,  1605,
-  2011,  2021,  2030,  2038,  2045,  1605,  89,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2536,  4867,  2657,  4876,  4921,  2767,  2864,
-  2865,  2866,  209,  2537,  4868,  2658,  4877,  4922,
-  2768,  4885,  4930,  4966,  2867,  2952,  2953,  2954,
-  2955,  221,  2538,  4869,  2659,  4878,  4923,  2769,
-  4886,  4931,  4967,  2868,  4893,  4938,  4974,  5002,
-  2956,  3029,  3030,  3031,  3032,  3033,  233,  2539,
-  4870,  2660,  4879,  4924,  2770,  4887,  4932,  4968,
-  2869,  4894,  4939,  4975,  5003,  2957,  1605,  1605,
-  1605,  1605,  1604,  1605,  3095,  3096,  3097,  3098,
-  3099,  1605,  245,  251,  2072,  252,  2073,  2083,
-  253,  2074,  2084,  2093,  254,  2075,  2085,  2094,
-  2102,  255,  2076,  2086,  2095,  2103,  2110,  256,
-  2077,  2087,  2096,  2104,  2111,  1605,  257,  95,
-  96,  97,  98,  99,  100,  101,  18,  174,
-  2474,  186,  30,  174,  2545,  2666,  186,  2485,
-  2776,  2606,  198,  198,  42,  174,  2545,  2666,
-  186,  2546,  5086,  2667,  2776,  2777,  198,  2496,
-  2875,  2617,  2875,  2876,  2727,  210,  210,  210,
-  54,  174,  2545,  2666,  186,  2546,  5086,  2667,
-  2776,  2777,  198,  2547,  5087,  2668,  5096,  5141,
-  2778,  2875,  2876,  2877,  210,  2507,  2963,  2628,
-  2963,  2964,  2738,  2963,  2964,  2965,  2837,  222,
-  222,  222,  222,  66,  174,  2545,  2666,  186,
-  2546,  5086,  2667,  2776,  2777,  198,  2547,  5087,
-  2668,  5096,  5141,  2778,  2875,  2876,  2877,  210,
-  2548,  5088,  2669,  5097,  5142,  2779,  5105,  5150,
-  5186,  2878,  2963,  2964,  2965,  2966,  222,  2518,
-  3040,  2639,  3040,  3041,  2749,  3040,  3041,  3042,
-  2848,  3040,  3041,  3042,  3043,  2936,  234,  234,
-  234,  234,  234,  78,  174,  2545,  2666,  186,
-  2546,  5086,  2667,  2776,  2777,  198,  2547,  5087,
-  2668,  5096,  5141,  2778,  2875,  2876,  2877,  210,
-  2548,  5088,  2669,  5097,  5142,  2779,  5105,  5150,
-  5186,  2878,  2963,  2964,  2965,  2966,  222,  2549,
-  5089,  2670,  5098,  5143,  2780,  5106,  5151,  5187,
-  2879,  5113,  5158,  5194,  5222,  2967,  3040,  3041,
-  3042,  3043,  3044,  234,  2529,  3106,  2650,  3106,
-  3107,  2760,  3106,  3107,  3108,  2859,  3106,  3107,
-  3108,  3109,  2947,  3106,  3107,  3108,  3109,  3110,
-  3024,  246,  246,  246,  246,  246,  246,  90,
-  174,  2545,  2666,  186,  2546,  5086,  2667,  2776,
-  2777,  198,  2547,  5087,  2668,  5096,  5141,  2778,
-  2875,  2876,  2877,  210,  2548,  5088,  2669,  5097,
-  5142,  2779,  5105,  5150,  5186,  2878,  2963,  2964,
-  2965,  2966,  222,  2549,  5089,  2670,  5098,  5143,
-  2780,  5106,  5151,  5187,  2879,  5113,  5158,  5194,
-  5222,  2967,  3040,  3041,  3042,  3043,  3044,  234,
-  2550,  5090,  2671,  5099,  5144,  2781,  5107,  5152,
-  5188,  2880,  5114,  5159,  5195,  5223,  2968,  1605,
-  1605,  1605,  1605,  1604,  1605,  3106,  3107,  3108,
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-  4493,  4529,  2848,  4455,  4500,  4536,  4564,  2936,
-  1946,  1956,  1965,  1973,  1980,  78,  1656,  3361,
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-  6827,  7036,  4151,  6555,  6883,  7092,  7217,  4371,
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-  2650,  4660,  4705,  2760,  4668,  4713,  4749,  2859,
-  4675,  4720,  4756,  4784,  2947,  4681,  4726,  4762,
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-  4453,  4498,  4534,  1603,  2934,  1944,  1954,  1963,
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-  2547,  5087,  2668,  5096,  5141,  2778,  2875,  2876,
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-  2140,  2150,  2159,  266,  2141,  2151,  2160,  2168,
-  267,  2142,  2152,  2161,  2169,  2176,  268,  2143,
-  2153,  2162,  2170,  2177,  2183,  269,  270,  270,
-  270,  270,  270,  270,  270,  258,  107,  107,
-  108,  107,  108,  109,  107,  108,  109,  110,
-  107,  108,  109,  110,  111,  107,  108,  109,
-  110,  111,  112,  107,  108,  109,  110,  111,
-  112,  113,  107,  108,  109,  110,  111,  112,
-  113,  114,  11,  167,  179,  23,  12,  1610,
-  2468,  1676,  24,  168,  2479,  2600,  180,  191,
-  1742,  192,  35,  36,  13,  1611,  2469,  1677,
-  25,  1621,  3326,  3546,  1687,  2480,  3766,  2601,
-  1743,  1753,  37,  169,  2490,  2611,  181,  2491,
-  3986,  2612,  2721,  2722,  193,  203,  1808,  204,
-  1809,  1819,  205,  47,  48,  49,  14,  1612,
-  2470,  1678,  26,  1622,  3327,  3547,  1688,  2481,
-  3767,  2602,  1744,  1754,  38,  1631,  3336,  3556,
-  1697,  3381,  1600,  3601,  3776,  3821,  1763,  2492,
-  3987,  2613,  3996,  4041,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  4261,
-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
-  60,  61,  62,  15,  1613,  2471,  1679,  27,
-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
-  1755,  39,  1632,  3337,  3557,  1698,  3382,  6186,
-  3602,  3777,  3822,  1764,  2493,  3988,  2614,  3997,
-  4042,  2724,  1811,  1821,  1830,  51,  1640,  3345,
-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  3426,  6230,  3646,  6350,  1601,  3866,  4005,  4050,
-  4086,  1838,  2504,  4208,  2625,  4217,  4262,  2735,
-  4225,  4270,  4306,  2834,  1877,  1887,  1896,  1904,
-  63,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2514,  4427,  2635,  4436,  4481,
-  2745,  2842,  2843,  2844,  207,  2515,  4428,  2636,
-  4437,  4482,  2746,  4445,  4490,  4526,  2845,  2930,
-  2931,  2932,  2933,  219,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  1943,  1953,
-  1962,  1970,  231,  71,  72,  73,  74,  75,
-  16,  1614,  2472,  1680,  28,  1624,  3329,  3549,
-  1690,  2483,  3769,  2604,  1746,  1756,  40,  1633,
-  3338,  3558,  1699,  3383,  6187,  3603,  3778,  3823,
-  1765,  2494,  3989,  2615,  3998,  4043,  2725,  1812,
-  1822,  1831,  52,  1641,  3346,  3566,  1707,  3391,
-  6195,  3611,  3786,  3831,  1773,  3427,  6231,  3647,
-  6351,  6679,  3867,  4006,  4051,  4087,  1839,  2505,
-  4209,  2626,  4218,  4263,  2736,  4226,  4271,  4307,
-  2835,  1878,  1888,  1897,  1905,  64,  1648,  3353,
-  3573,  1714,  3398,  6202,  3618,  3793,  3838,  1780,
-  3434,  6238,  3654,  6358,  6686,  3874,  4013,  4058,
-  4094,  1846,  3462,  6266,  3682,  6386,  6714,  3902,
-  6470,  6798,  1602,  4122,  4233,  4278,  4314,  4342,
-  1912,  2516,  4429,  2637,  4438,  4483,  2747,  4446,
-  4491,  4527,  2846,  4453,  4498,  4534,  4562,  2934,
-  1944,  1954,  1963,  1971,  1978,  76,  172,  2523,
-  2644,  184,  2524,  4646,  2645,  2754,  2755,  196,
-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
-  2855,  208,  2526,  4648,  2647,  4657,  4702,  2757,
-  4665,  4710,  4746,  2856,  2941,  2942,  2943,  2944,
-  220,  2527,  4649,  2648,  4658,  4703,  2758,  4666,
-  4711,  4747,  2857,  4673,  4718,  4754,  4782,  2945,
-  3018,  3019,  3020,  3021,  3022,  232,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  2009,  2019,  2028,  2036,  243,  2010,  2020,  2029,
-  2037,  2044,  244,  83,  84,  85,  86,  87,
-  88,  17,  1615,  2473,  1681,  29,  1625,  3330,
-  3550,  1691,  2484,  3770,  2605,  1747,  1757,  41,
-  1634,  3339,  3559,  1700,  3384,  6188,  3604,  3779,
-  3824,  1766,  2495,  3990,  2616,  3999,  4044,  2726,
-  1813,  1823,  1832,  53,  1642,  3347,  3567,  1708,
-  3392,  6196,  3612,  3787,  3832,  1774,  3428,  6232,
-  3648,  6352,  6680,  3868,  4007,  4052,  4088,  1840,
-  2506,  4210,  2627,  4219,  4264,  2737,  4227,  4272,
-  4308,  2836,  1879,  1889,  1898,  1906,  65,  1649,
-  3354,  3574,  1715,  3399,  6203,  3619,  3794,  3839,
-  1781,  3435,  6239,  3655,  6359,  6687,  3875,  4014,
-  4059,  4095,  1847,  3463,  6267,  3683,  6387,  6715,
-  3903,  6471,  6799,  7008,  4123,  4234,  4279,  4315,
-  4343,  1913,  2517,  4430,  2638,  4439,  4484,  2748,
-  4447,  4492,  4528,  2847,  4454,  4499,  4535,  4563,
-  2935,  1945,  1955,  1964,  1972,  1979,  77,  1655,
-  3360,  3580,  1721,  3405,  6209,  3625,  3800,  3845,
-  1787,  3441,  6245,  3661,  6365,  6693,  3881,  4020,
-  4065,  4101,  1853,  3469,  6273,  3689,  6393,  6721,
-  3909,  6477,  6805,  7014,  4129,  4240,  4285,  4321,
-  4349,  1919,  3490,  6294,  3710,  6414,  6742,  3930,
-  6498,  6826,  7035,  4150,  6554,  6882,  7091,  1603,
-  4370,  4460,  4505,  4541,  4569,  4590,  1985,  2528,
-  4650,  2649,  4659,  4704,  2759,  4667,  4712,  4748,
-  2858,  4674,  4719,  4755,  4783,  2946,  4680,  4725,
-  4761,  4789,  4810,  3023,  2011,  2021,  2030,  2038,
-  2045,  2051,  89,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2536,  4867,  2657,
-  4876,  4921,  2767,  2864,  2865,  2866,  209,  2537,
-  4868,  2658,  4877,  4922,  2768,  4885,  4930,  4966,
-  2867,  2952,  2953,  2954,  2955,  221,  2538,  4869,
-  2659,  4878,  4923,  2769,  4886,  4931,  4967,  2868,
-  4893,  4938,  4974,  5002,  2956,  3029,  3030,  3031,
-  3032,  3033,  233,  2539,  4870,  2660,  4879,  4924,
-  2770,  4887,  4932,  4968,  2869,  4894,  4939,  4975,
-  5003,  2957,  4900,  4945,  4981,  5009,  5030,  3034,
-  3095,  3096,  3097,  3098,  3099,  3100,  245,  251,
-  2072,  252,  2073,  2083,  253,  2074,  2084,  2093,
-  254,  2075,  2085,  2094,  2102,  255,  2076,  2086,
-  2095,  2103,  2110,  256,  2077,  2087,  2096,  2104,
-  2111,  2117,  257,  95,  96,  97,  98,  99,
-  100,  101,  18,  1616,  2474,  1682,  30,  1626,
-  3331,  3551,  1692,  2485,  3771,  2606,  1748,  1758,
-  42,  1635,  3340,  3560,  1701,  3385,  6189,  3605,
-  3780,  3825,  1767,  2496,  3991,  2617,  4000,  4045,
-  2727,  1814,  1824,  1833,  54,  1643,  3348,  3568,
-  1709,  3393,  6197,  3613,  3788,  3833,  1775,  3429,
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-  1841,  2507,  4211,  2628,  4220,  4265,  2738,  4228,
-  4273,  4309,  2837,  1880,  1890,  1899,  1907,  66,
-  1650,  3355,  3575,  1716,  3400,  6204,  3620,  3795,
-  3840,  1782,  3436,  6240,  3656,  6360,  6688,  3876,
-  4015,  4060,  4096,  1848,  3464,  6268,  3684,  6388,
-  6716,  3904,  6472,  6800,  7009,  4124,  4235,  4280,
-  4316,  4344,  1914,  2518,  4431,  2639,  4440,  4485,
-  2749,  4448,  4493,  4529,  2848,  4455,  4500,  4536,
-  4564,  2936,  1946,  1956,  1965,  1973,  1980,  78,
-  1656,  3361,  3581,  1722,  3406,  6210,  3626,  3801,
-  3846,  1788,  3442,  6246,  3662,  6366,  6694,  3882,
-  4021,  4066,  4102,  1854,  3470,  6274,  3690,  6394,
-  6722,  3910,  6478,  6806,  7015,  4130,  4241,  4286,
-  4322,  4350,  1920,  3491,  6295,  3711,  6415,  6743,
-  3931,  6499,  6827,  7036,  4151,  6555,  6883,  7092,
-  7217,  4371,  4461,  4506,  4542,  4570,  4591,  1986,
-  2529,  4651,  2650,  4660,  4705,  2760,  4668,  4713,
-  4749,  2859,  4675,  4720,  4756,  4784,  2947,  4681,
-  4726,  4762,  4790,  4811,  3024,  2012,  2022,  2031,
-  2039,  2046,  2052,  90,  1661,  3366,  3586,  1727,
-  3411,  6215,  3631,  3806,  3851,  1793,  3447,  6251,
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-  6300,  3716,  6420,  6748,  3936,  6504,  6832,  7041,
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-  1606,  1606,  1606,  1605,  1605,  1605,  1605,  1604,
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-  1606,  1606,  1605,  1606,  2078,  2088,  2097,  2105,
-  2112,  2118,  1606,  102,  174,  2545,  2666,  186,
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-  2879,  5113,  5158,  5194,  5222,  2967,  3040,  3041,
-  3042,  3043,  3044,  234,  2550,  5090,  2671,  5099,
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-  5195,  5223,  2968,  5120,  5165,  5201,  5229,  5250,
-  3045,  3106,  3107,  3108,  3109,  3110,  3111,  246,
-  2551,  5091,  2672,  5100,  5145,  2782,  5108,  5153,
-  5189,  2881,  5115,  5160,  5196,  5224,  2969,  5121,
-  5166,  5202,  5230,  5251,  3046,  1606,  1606,  1606,
-  1606,  1606,  1605,  1606,  3161,  3162,  3163,  3164,
-  3165,  3166,  1606,  258,  263,  2138,  264,  2139,
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-  268,  2143,  2153,  2162,  2170,  2177,  2183,  269,
-  2144,  2154,  2163,  2171,  2178,  2184,  1606,  270,
-  107,  108,  109,  110,  111,  112,  113,  114,
-  19,  175,  2475,  187,  31,  175,  2556,  2677,
-  187,  2486,  2787,  2607,  199,  199,  43,  175,
-  2556,  2677,  187,  2557,  5306,  2678,  2787,  2788,
-  199,  2497,  2886,  2618,  2886,  2887,  2728,  211,
-  211,  211,  55,  175,  2556,  2677,  187,  2557,
-  5306,  2678,  2787,  2788,  199,  2558,  5307,  2679,
-  5316,  5361,  2789,  2886,  2887,  2888,  211,  2508,
-  2974,  2629,  2974,  2975,  2739,  2974,  2975,  2976,
-  2838,  223,  223,  223,  223,  67,  175,  2556,
-  2677,  187,  2557,  5306,  2678,  2787,  2788,  199,
-  2558,  5307,  2679,  5316,  5361,  2789,  2886,  2887,
-  2888,  211,  2559,  5308,  2680,  5317,  5362,  2790,
-  5325,  5370,  5406,  2889,  2974,  2975,  2976,  2977,
-  223,  2519,  3051,  2640,  3051,  3052,  2750,  3051,
-  3052,  3053,  2849,  3051,  3052,  3053,  3054,  2937,
-  235,  235,  235,  235,  235,  79,  175,  2556,
-  2677,  187,  2557,  5306,  2678,  2787,  2788,  199,
-  2558,  5307,  2679,  5316,  5361,  2789,  2886,  2887,
-  2888,  211,  2559,  5308,  2680,  5317,  5362,  2790,
-  5325,  5370,  5406,  2889,  2974,  2975,  2976,  2977,
-  223,  2560,  5309,  2681,  5318,  5363,  2791,  5326,
-  5371,  5407,  2890,  5333,  5378,  5414,  5442,  2978,
-  3051,  3052,  3053,  3054,  3055,  235,  2530,  3117,
-  2651,  3117,  3118,  2761,  3117,  3118,  3119,  2860,
-  3117,  3118,  3119,  3120,  2948,  3117,  3118,  3119,
-  3120,  3121,  3025,  247,  247,  247,  247,  247,
-  247,  91,  175,  2556,  2677,  187,  2557,  5306,
-  2678,  2787,  2788,  199,  2558,  5307,  2679,  5316,
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-  2680,  5317,  5362,  2790,  5325,  5370,  5406,  2889,
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-  1743,  1753,  37,  169,  2490,  2611,  181,  2491,
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-  1809,  1819,  205,  47,  48,  49,  14,  1612,
-  2470,  1678,  26,  1622,  3327,  3547,  1688,  2481,
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-  1697,  3381,  1600,  3601,  3776,  3821,  1763,  2492,
-  3987,  2613,  3996,  4041,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  4261,
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-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
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-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
-  1755,  39,  1632,  3337,  3557,  1698,  3382,  6186,
-  3602,  3777,  3822,  1764,  2493,  3988,  2614,  3997,
-  4042,  2724,  1811,  1821,  1830,  51,  1640,  3345,
-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  3426,  6230,  3646,  6350,  1601,  3866,  4005,  4050,
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-  4225,  4270,  4306,  2834,  1877,  1887,  1896,  1904,
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-  2745,  2842,  2843,  2844,  207,  2515,  4428,  2636,
-  4437,  4482,  2746,  4445,  4490,  4526,  2845,  2930,
-  2931,  2932,  2933,  219,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  1943,  1953,
-  1962,  1970,  231,  71,  72,  73,  74,  75,
-  16,  1614,  2472,  1680,  28,  1624,  3329,  3549,
-  1690,  2483,  3769,  2604,  1746,  1756,  40,  1633,
-  3338,  3558,  1699,  3383,  6187,  3603,  3778,  3823,
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-  1822,  1831,  52,  1641,  3346,  3566,  1707,  3391,
-  6195,  3611,  3786,  3831,  1773,  3427,  6231,  3647,
-  6351,  6679,  3867,  4006,  4051,  4087,  1839,  2505,
-  4209,  2626,  4218,  4263,  2736,  4226,  4271,  4307,
-  2835,  1878,  1888,  1897,  1905,  64,  1648,  3353,
-  3573,  1714,  3398,  6202,  3618,  3793,  3838,  1780,
-  3434,  6238,  3654,  6358,  6686,  3874,  4013,  4058,
-  4094,  1846,  3462,  6266,  3682,  6386,  6714,  3902,
-  6470,  6798,  1602,  4122,  4233,  4278,  4314,  4342,
-  1912,  2516,  4429,  2637,  4438,  4483,  2747,  4446,
-  4491,  4527,  2846,  4453,  4498,  4534,  4562,  2934,
-  1944,  1954,  1963,  1971,  1978,  76,  172,  2523,
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-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
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-  4665,  4710,  4746,  2856,  2941,  2942,  2943,  2944,
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-  4711,  4747,  2857,  4673,  4718,  4754,  4782,  2945,
-  3018,  3019,  3020,  3021,  3022,  232,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  2009,  2019,  2028,  2036,  243,  2010,  2020,  2029,
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-  100,  101,  18,  1616,  2474,  1682,  30,  1626,
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-  4273,  4309,  2837,  1880,  1890,  1899,  1907,  66,
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-  2749,  4448,  4493,  4529,  2848,  4455,  4500,  4536,
-  4564,  2936,  1946,  1956,  1965,  1973,  1980,  78,
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+    6267, 3683, 6387, 6715, 3903, 6471, 6799, 7008, 4123, 4234, 4279, 4315,
+    4343, 1913, 2517, 4430, 2638, 4439, 4484, 2748, 4447, 4492, 4528, 2847,
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+    2759, 4667, 4712, 4748, 2858, 4674, 4719, 4755, 4783, 2946, 4680, 4725,
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+    2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,
+    318,  318,  318,  318,  318,  318,  318,  262,  311,  319,  312,  319,
+    319,  313,  319,  319,  319,  314,  319,  319,  319,  319,  315,  319,
+    319,  319,  319,  319,  316,  319,  319,  319,  319,  319,  319,  317,
+    319,  319,  319,  319,  319,  319,  319,  318,  274,  274,  274,  274,
+    274,  274,  274,  274,  117,  178,  311,  312,  190,  311,  2402, 312,
+    313,  313,  202,  311,  2402, 312,  2403, 2413, 313,  314,  314,  314,
+    214,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  315,
+    315,  315,  315,  226,  311,  2402, 312,  2403, 2413, 313,  2404, 2414,
+    2423, 314,  2405, 2415, 2424, 2432, 315,  316,  316,  316,  316,  316,
+    238,  311,  2402, 312,  2403, 2413, 313,  2404, 2414, 2423, 314,  2405,
+    2415, 2424, 2432, 315,  2406, 2416, 2425, 2433, 2440, 316,  317,  317,
+    317,  317,  317,  317,  250,  311,  2402, 312,  2403, 2413, 313,  2404,
+    2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425, 2433,
+    2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,  318,  318,  318,
+    318,  318,  318,  318,  262,  311,  2402, 312,  2403, 2413, 313,  2404,
+    2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425, 2433,
+    2440, 316,  2407, 2417, 2426, 2434, 2441, 2447, 317,  2408, 2418, 2427,
+    2435, 2442, 2448, 2453, 318,  319,  319,  319,  319,  319,  319,  319,
+    319,  274,  311,  320,  312,  320,  320,  313,  320,  320,  320,  314,
+    320,  320,  320,  320,  315,  320,  320,  320,  320,  320,  316,  320,
+    320,  320,  320,  320,  320,  317,  320,  320,  320,  320,  320,  320,
+    320,  318,  320,  320,  320,  320,  320,  320,  320,  320,  319,  286,
+    286,  286,  286,  286,  286,  286,  286,  286,  129,  178,  311,  312,
+    190,  311,  2402, 312,  313,  313,  202,  311,  2402, 312,  2403, 2413,
+    313,  314,  314,  314,  214,  311,  2402, 312,  2403, 2413, 313,  2404,
+    2414, 2423, 314,  315,  315,  315,  315,  226,  311,  2402, 312,  2403,
+    2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  316,
+    316,  316,  316,  316,  238,  311,  2402, 312,  2403, 2413, 313,  2404,
+    2414, 2423, 314,  2405, 2415, 2424, 2432, 315,  2406, 2416, 2425, 2433,
+    2440, 316,  317,  317,  317,  317,  317,  317,  250,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447,
+    317,  318,  318,  318,  318,  318,  318,  318,  262,  311,  2402, 312,
+    2403, 2413, 313,  2404, 2414, 2423, 314,  2405, 2415, 2424, 2432, 315,
+    2406, 2416, 2425, 2433, 2440, 316,  2407, 2417, 2426, 2434, 2441, 2447,
+    317,  2408, 2418, 2427, 2435, 2442, 2448, 2453, 318,  319,  319,  319,
+    319,  319,  319,  319,  319,  274,  311,  1609, 312,  1609, 2413, 313,
+    1609, 2414, 2423, 314,  1609, 2415, 2424, 2432, 315,  1609, 2416, 2425,
+    2433, 2440, 316,  1609, 2417, 2426, 2434, 2441, 2447, 317,  1609, 2418,
+    2427, 2435, 2442, 2448, 2453, 318,  1608, 1608, 1608, 1608, 1608, 1608,
+    1608, 1607, 319,  320,  320,  320,  320,  320,  320,  320,  320,  320,
+    286,  311,  321,  312,  321,  321,  313,  321,  321,  321,  314,  321,
+    321,  321,  321,  315,  321,  321,  321,  321,  321,  316,  321,  321,
+    321,  321,  321,  321,  317,  321,  321,  321,  321,  321,  321,  321,
+    318,  321,  321,  321,  321,  321,  321,  321,  321,  319,  321,  321,
+    321,  321,  321,  321,  321,  321,  321,  320,  298,  298,  298,  298,
+    298,  298,  298,  298,  298,  298,  141,  177,  311,  312,  189,  311,
+    322,  312,  313,  313,  201,  311,  322,  312,  322,  322,  313,  314,
+    314,  314,  213,  311,  322,  312,  322,  322,  313,  322,  322,  322,
+    314,  315,  315,  315,  315,  225,  311,  322,  312,  322,  322,  313,
+    322,  322,  322,  314,  322,  322,  322,  322,  315,  316,  316,  316,
+    316,  316,  237,  311,  322,  312,  322,  322,  313,  322,  322,  322,
+    314,  322,  322,  322,  322,  315,  322,  322,  322,  322,  322,  316,
+    317,  317,  317,  317,  317,  317,  249,  311,  322,  312,  322,  322,
+    313,  322,  322,  322,  314,  322,  322,  322,  322,  315,  322,  322,
+    322,  322,  322,  316,  322,  322,  322,  322,  322,  322,  317,  318,
+    318,  318,  318,  318,  318,  318,  261,  311,  322,  312,  322,  322,
+    313,  322,  322,  322,  314,  322,  322,  322,  322,  315,  322,  322,
+    322,  322,  322,  316,  322,  322,  322,  322,  322,  322,  317,  322,
+    322,  322,  322,  322,  322,  322,  318,  319,  319,  319,  319,  319,
+    319,  319,  319,  273,  311,  322,  312,  322,  322,  313,  322,  322,
+    322,  314,  322,  322,  322,  322,  315,  322,  322,  322,  322,  322,
+    316,  322,  322,  322,  322,  322,  322,  317,  322,  322,  322,  322,
+    322,  322,  322,  318,  322,  322,  322,  322,  322,  322,  322,  322,
+    319,  320,  320,  320,  320,  320,  320,  320,  320,  320,  285,  311,
+    322,  312,  322,  322,  313,  322,  322,  322,  314,  322,  322,  322,
+    322,  315,  322,  322,  322,  322,  322,  316,  322,  322,  322,  322,
+    322,  322,  317,  322,  322,  322,  322,  322,  322,  322,  318,  322,
+    322,  322,  322,  322,  322,  322,  322,  319,  322,  322,  322,  322,
+    322,  322,  322,  322,  322,  320,  321,  321,  321,  321,  321,  321,
+    321,  321,  321,  321,  297,  299,  310,  300,  310,  310,  301,  310,
+    310,  310,  302,  310,  310,  310,  310,  303,  310,  310,  310,  310,
+    310,  304,  310,  310,  310,  310,  310,  310,  305,  310,  310,  310,
+    310,  310,  310,  310,  306,  310,  310,  310,  310,  310,  310,  310,
+    310,  307,  310,  310,  310,  310,  310,  310,  310,  310,  310,  308,
+    310,  310,  310,  310,  310,  310,  310,  310,  310,  310,  309,  143,
+    144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  22,   155,
+    155,  155,  34,   155,  155,  155,  156,  155,  155,  156,  155,  156,
+    46,   155,  155,  155,  156,  155,  155,  156,  155,  156,  157,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  58,   155,  155,  155,
+    156,  155,  155,  156,  155,  156,  157,  155,  155,  156,  155,  156,
+    157,  155,  156,  157,  158,  155,  155,  156,  155,  156,  157,  155,
+    156,  157,  158,  155,  156,  157,  158,  70,   155,  155,  155,  156,
+    155,  155,  156,  155,  156,  157,  155,  155,  156,  155,  156,  157,
+    155,  156,  157,  158,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  155,  156,  155,  156,
+    157,  155,  156,  157,  158,  155,  156,  157,  158,  159,  155,  156,
+    157,  158,  159,  82,   155,  155,  155,  156,  155,  155,  156,  155,
+    156,  157,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,
+    158,  159,  160,  94,   155,  155,  155,  156,  155,  155,  156,  155,
+    156,  157,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,
+    158,  159,  160,  161,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,
+    159,  160,  161,  106,  155,  155,  155,  156,  155,  155,  156,  155,
+    156,  157,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,
+    158,  159,  160,  161,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,
+    159,  160,  161,  162,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,
+    159,  160,  161,  162,  155,  156,  157,  158,  159,  160,  161,  162,
+    118,  155,  155,  155,  156,  155,  155,  156,  155,  156,  157,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,  160,
+    161,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  156,  157,  158,  159,  160,  161,  162,  163,  155,  155,
+    156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,
+    159,  155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,
+    160,  161,  155,  156,  157,  158,  159,  160,  161,  162,  155,  156,
+    157,  158,  159,  160,  161,  162,  163,  155,  156,  157,  158,  159,
+    160,  161,  162,  163,  130,  155,  155,  155,  156,  155,  155,  156,
+    155,  156,  157,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  155,  156,  155,  156,  157,  155,
+    156,  157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,
+    159,  160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,
+    158,  159,  160,  161,  162,  155,  155,  156,  155,  156,  157,  155,
+    156,  157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,
+    159,  160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,
+    158,  159,  160,  161,  162,  155,  156,  157,  158,  159,  160,  161,
+    162,  163,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,
+    156,  157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,
+    161,  162,  155,  156,  157,  158,  159,  160,  161,  162,  163,  155,
+    156,  157,  158,  159,  160,  161,  162,  163,  164,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,  160,
+    161,  155,  156,  157,  158,  159,  160,  161,  162,  155,  156,  157,
+    158,  159,  160,  161,  162,  163,  155,  156,  157,  158,  159,  160,
+    161,  162,  163,  164,  155,  156,  157,  158,  159,  160,  161,  162,
+    163,  164,  142,  155,  155,  155,  156,  155,  155,  156,  155,  156,
+    157,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,
+    158,  159,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,
+    158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,  158,
+    159,  160,  161,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,  159,
+    160,  161,  162,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,  159,
+    160,  161,  162,  155,  156,  157,  158,  159,  160,  161,  162,  163,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,
+    158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,  162,
+    155,  156,  157,  158,  159,  160,  161,  162,  163,  155,  156,  157,
+    158,  159,  160,  161,  162,  163,  164,  155,  155,  156,  155,  156,
+    157,  155,  156,  157,  158,  155,  156,  157,  158,  159,  155,  156,
+    157,  158,  159,  160,  155,  156,  157,  158,  159,  160,  161,  155,
+    156,  157,  158,  159,  160,  161,  162,  155,  156,  157,  158,  159,
+    160,  161,  162,  163,  155,  156,  157,  158,  159,  160,  161,  162,
+    163,  164,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,
+    165,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  156,  157,  158,  159,  160,  161,  162,  163,  155,  156,
+    157,  158,  159,  160,  161,  162,  163,  164,  155,  156,  157,  158,
+    159,  160,  161,  162,  163,  164,  165,  155,  156,  157,  158,  159,
+    160,  161,  162,  163,  164,  165,  154,
 };
diff --git a/cpp/src/hashtable9.c b/cpp/src/hashtable9.c
index 7693de1..3872257 100644
--- a/cpp/src/hashtable9.c
+++ b/cpp/src/hashtable9.c
@@ -1,33786 +1,22525 @@
 const short noflush9[270270] = {
-  11,  11,  23,  11,  167,  23,  11,  35,
-  35,  23,  11,  11,  23,  11,  167,  23,
-  11,  167,  179,  23,  12,  35,  35,  35,
-  24,  11,  23,  11,  167,  23,  11,  167,
-  179,  23,  12,  168,  191,  180,  24,  35,
-  35,  35,  36,  11,  167,  23,  11,  167,
-  179,  23,  12,  168,  203,  180,  24,  168,
-  191,  192,  180,  35,  35,  36,  11,  47,
-  47,  23,  12,  47,  47,  47,  24,  47,
-  47,  47,  48,  47,  47,  48,  35,  36,
-  11,  11,  23,  11,  167,  23,  11,  167,
-  179,  23,  12,  35,  35,  35,  24,  11,
-  23,  11,  167,  23,  11,  167,  179,  23,
-  12,  168,  191,  180,  24,  35,  35,  35,
-  36,  11,  167,  23,  11,  167,  179,  23,
-  12,  168,  1600,  180,  24,  168,  191,  192,
-  180,  35,  35,  36,  11,  167,  179,  23,
-  12,  169,  203,  181,  24,  168,  203,  204,
-  180,  191,  193,  192,  35,  36,  13,  47,
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-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
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-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
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-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  1603,  1603,  1603,  1602,  1601,  1602,  1603,  1603,
-  1602,  1603,  2504,  4208,  2625,  4217,  4262,  2735,
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-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2494,  2853,  2615,  2853,  2854,  2725,  208,
-  208,  208,  52,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
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-  245,  240,  245,  245,  241,  245,  245,  245,
-  242,  245,  245,  245,  245,  243,  245,  245,
-  245,  245,  245,  244,  83,  84,  85,  86,
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-  2072,  252,  2073,  2083,  253,  254,  254,  254,
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-  14,  170,  2470,  182,  26,  170,  2501,  2622,
-  182,  2481,  2732,  2602,  194,  194,  38,  170,
-  2501,  2622,  182,  2502,  1600,  2623,  2732,  2733,
-  194,  2492,  2831,  2613,  2831,  2832,  2723,  206,
-  206,  206,  50,  170,  215,  216,  182,  215,
-  1874,  216,  217,  217,  194,  215,  1874,  216,
-  1875,  1885,  217,  218,  218,  218,  206,  59,
-  59,  60,  59,  60,  61,  59,  60,  61,
-  62,  11,  167,  179,  23,  12,  1610,  2468,
-  1676,  24,  168,  2479,  2600,  180,  191,  1742,
-  192,  35,  36,  13,  1611,  2469,  1677,  25,
-  1621,  3326,  3546,  1687,  2480,  3766,  2601,  1743,
-  1753,  37,  169,  2490,  2611,  181,  2491,  3986,
-  2612,  2721,  2722,  193,  203,  1808,  204,  1809,
-  1819,  205,  47,  48,  49,  14,  1612,  2470,
-  1678,  26,  1622,  3327,  3547,  1688,  2481,  3767,
-  2602,  1744,  1754,  38,  1631,  3336,  3556,  1697,
-  3381,  1600,  1601,  3776,  1601,  1763,  2492,  3987,
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-  170,  2501,  2622,  182,  2502,  4206,  2623,  2732,
-  2733,  194,  2503,  4207,  2624,  4216,  1601,  2734,
-  2831,  2832,  2833,  206,  215,  1874,  216,  1875,
-  1885,  217,  1876,  1886,  1895,  218,  59,  60,
-  61,  62,  15,  171,  2471,  183,  27,  171,
-  2512,  2633,  183,  2482,  2743,  2603,  195,  195,
-  39,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2493,  2842,  2614,  2842,  2843,
-  2724,  207,  207,  207,  51,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  1601,  2745,  2842,  2843,  2844,
-  207,  2504,  2930,  2625,  2930,  2931,  2735,  2930,
-  2931,  2932,  2834,  219,  219,  219,  219,  63,
-  171,  227,  228,  183,  227,  1940,  228,  229,
-  229,  195,  227,  1940,  228,  1941,  1951,  229,
-  230,  230,  230,  207,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  231,  231,
-  231,  231,  219,  71,  71,  72,  71,  72,
-  73,  71,  72,  73,  74,  71,  72,  73,
-  74,  75,  11,  167,  179,  23,  12,  1610,
-  2468,  1676,  24,  168,  2479,  2600,  180,  191,
-  1742,  192,  35,  36,  13,  1611,  2469,  1677,
-  25,  1621,  3326,  3546,  1687,  2480,  3766,  2601,
-  1743,  1753,  37,  169,  2490,  2611,  181,  2491,
-  3986,  2612,  2721,  2722,  193,  203,  1808,  204,
-  1809,  1819,  205,  47,  48,  49,  14,  1612,
-  2470,  1678,  26,  1622,  3327,  3547,  1688,  2481,
-  3767,  2602,  1744,  1754,  38,  1631,  3336,  3556,
-  1697,  3381,  1600,  3601,  3776,  3821,  1763,  2492,
-  3987,  2613,  3996,  4041,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  4261,
-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
-  60,  61,  62,  15,  1613,  2471,  1679,  27,
-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
-  1755,  39,  1632,  3337,  3557,  1698,  3382,  6186,
-  3602,  3777,  3822,  1764,  2493,  3988,  2614,  3997,
-  4042,  2724,  1811,  1821,  1830,  51,  1640,  3345,
-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  3426,  6230,  3646,  1602,  1601,  1602,  4005,  4050,
-  1602,  1838,  2504,  4208,  2625,  4217,  4262,  2735,
-  4225,  4270,  1602,  2834,  1877,  1887,  1896,  1904,
-  63,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2514,  4427,  2635,  4436,  4481,
-  2745,  2842,  2843,  2844,  207,  2515,  4428,  2636,
-  4437,  4482,  2746,  4445,  4490,  1602,  2845,  2930,
-  2931,  2932,  2933,  219,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  1943,  1953,
-  1962,  1970,  231,  71,  72,  73,  74,  75,
-  16,  172,  2472,  184,  28,  172,  2523,  2644,
-  184,  2483,  2754,  2604,  196,  196,  40,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2494,  2853,  2615,  2853,  2854,  2725,  208,
-  208,  208,  52,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2505,
-  2941,  2626,  2941,  2942,  2736,  2941,  2942,  2943,
-  2835,  220,  220,  220,  220,  64,  172,  2523,
-  2644,  184,  2524,  4646,  2645,  2754,  2755,  196,
-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
-  2855,  208,  2526,  4648,  2647,  4657,  4702,  2757,
-  4665,  4710,  1602,  2856,  2941,  2942,  2943,  2944,
-  220,  2516,  3018,  2637,  3018,  3019,  2747,  3018,
-  3019,  3020,  2846,  3018,  3019,  3020,  3021,  2934,
-  232,  232,  232,  232,  232,  76,  172,  239,
-  240,  184,  239,  2006,  240,  241,  241,  196,
-  239,  2006,  240,  2007,  2017,  241,  242,  242,
-  242,  208,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  243,  243,  243,  243,
-  220,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  244,  244,  244,  244,  244,  232,  83,  83,
-  84,  83,  84,  85,  83,  84,  85,  86,
-  83,  84,  85,  86,  87,  83,  84,  85,
-  86,  87,  88,  11,  167,  179,  23,  12,
-  1610,  2468,  1676,  24,  168,  2479,  2600,  180,
-  191,  1742,  192,  35,  36,  13,  1611,  2469,
-  1677,  25,  1621,  3326,  3546,  1687,  2480,  3766,
-  2601,  1743,  1753,  37,  169,  2490,  2611,  181,
-  2491,  3986,  2612,  2721,  2722,  193,  203,  1808,
-  204,  1809,  1819,  205,  47,  48,  49,  14,
-  1612,  2470,  1678,  26,  1622,  3327,  3547,  1688,
-  2481,  3767,  2602,  1744,  1754,  38,  1631,  3336,
-  3556,  1697,  3381,  1600,  3601,  3776,  3821,  1763,
-  2492,  3987,  2613,  3996,  4041,  2723,  1810,  1820,
-  1829,  50,  170,  2501,  2622,  182,  2502,  4206,
-  2623,  2732,  2733,  194,  2503,  4207,  2624,  4216,
-  4261,  2734,  2831,  2832,  2833,  206,  215,  1874,
-  216,  1875,  1885,  217,  1876,  1886,  1895,  218,
-  59,  60,  61,  62,  15,  1613,  2471,  1679,
-  27,  1623,  3328,  3548,  1689,  2482,  3768,  2603,
-  1745,  1755,  39,  1632,  3337,  3557,  1698,  3382,
-  6186,  3602,  3777,  3822,  1764,  2493,  3988,  2614,
-  3997,  4042,  2724,  1811,  1821,  1830,  51,  1640,
-  3345,  3565,  1706,  3390,  6194,  3610,  3785,  3830,
-  1772,  3426,  6230,  3646,  6350,  1601,  3866,  4005,
-  4050,  4086,  1838,  2504,  4208,  2625,  4217,  4262,
-  2735,  4225,  4270,  4306,  2834,  1877,  1887,  1896,
-  1904,  63,  171,  2512,  2633,  183,  2513,  4426,
-  2634,  2743,  2744,  195,  2514,  4427,  2635,  4436,
-  4481,  2745,  2842,  2843,  2844,  207,  2515,  4428,
-  2636,  4437,  4482,  2746,  4445,  4490,  4526,  2845,
-  2930,  2931,  2932,  2933,  219,  227,  1940,  228,
-  1941,  1951,  229,  1942,  1952,  1961,  230,  1943,
-  1953,  1962,  1970,  231,  71,  72,  73,  74,
-  75,  16,  1614,  2472,  1680,  28,  1624,  3329,
-  3549,  1690,  2483,  3769,  2604,  1746,  1756,  40,
-  1633,  3338,  3558,  1699,  3383,  6187,  3603,  3778,
-  3823,  1765,  2494,  3989,  2615,  3998,  4043,  2725,
-  1812,  1822,  1831,  52,  1641,  3346,  3566,  1707,
-  3391,  6195,  3611,  3786,  3831,  1773,  3427,  6231,
-  3647,  6351,  6679,  3867,  4006,  4051,  4087,  1839,
-  2505,  4209,  2626,  4218,  4263,  2736,  4226,  4271,
-  4307,  2835,  1878,  1888,  1897,  1905,  64,  1605,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1605,  1605,  1604,  1604,  1604,  1604,  1604,
-  1604,  1603,  1603,  1602,  1603,  1604,  1604,  1604,
-  1603,  1604,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1605,  1605,  1605,  1604,  1604,  1604,  1603,
-  1604,  1605,  1605,  1605,  1605,  1604,  76,  172,
-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2525,  4647,  2646,  4656,  4701,  2756,  2853,
-  2854,  2855,  208,  2526,  4648,  2647,  4657,  4702,
-  2757,  4665,  4710,  4746,  2856,  2941,  2942,  2943,
-  2944,  220,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1605,  1605,  1605,  1604,  1604,  1604,  1603,
-  1604,  1605,  1605,  1605,  1605,  1604,  232,  239,
-  2006,  240,  2007,  2017,  241,  2008,  2018,  2027,
-  242,  2009,  2019,  2028,  2036,  243,  1605,  1605,
-  1605,  1605,  1604,  244,  83,  84,  85,  86,
-  87,  88,  17,  173,  2473,  185,  29,  173,
-  2534,  2655,  185,  2484,  2765,  2605,  197,  197,
-  41,  173,  2534,  2655,  185,  2535,  4866,  2656,
-  2765,  2766,  197,  2495,  2864,  2616,  2864,  2865,
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-  185,  2535,  4866,  2656,  2765,  2766,  197,  2536,
-  4867,  2657,  4876,  4921,  2767,  2864,  2865,  2866,
-  209,  2506,  2952,  2627,  2952,  2953,  2737,  2952,
-  2953,  2954,  2836,  221,  221,  221,  221,  65,
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-  2766,  197,  2536,  4867,  2657,  4876,  4921,  2767,
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-  1603,  1604,  1605,  1605,  1605,  1605,  1604,  233,
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-  12,  174,  2468,  186,  24,  168,  2479,  2600,
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-  181,  2491,  2875,  2612,  2721,  2722,  193,  203,
-  210,  204,  210,  210,  205,  47,  48,  49,
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-  2963,  2964,  2734,  2831,  2832,  2833,  206,  215,
-  222,  216,  222,  222,  217,  222,  222,  222,
-  218,  59,  60,  61,  62,  15,  174,  2471,
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-  2614,  2875,  2876,  2724,  210,  210,  210,  51,
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-  2845,  2930,  2931,  2932,  2933,  219,  227,  234,
-  228,  234,  234,  229,  234,  234,  234,  230,
-  234,  234,  234,  234,  231,  71,  72,  73,
-  74,  75,  16,  174,  2472,  186,  28,  174,
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-  3109,  2945,  3018,  3019,  3020,  3021,  3022,  232,
-  239,  246,  240,  246,  246,  241,  246,  246,
-  246,  242,  246,  246,  246,  246,  243,  246,
-  246,  246,  246,  246,  244,  83,  84,  85,
-  86,  87,  88,  17,  174,  2473,  186,  29,
-  174,  2545,  2666,  186,  2484,  2776,  2605,  198,
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-  2667,  2776,  2777,  198,  2495,  2875,  2616,  2875,
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-  196,  37,  169,  2490,  2611,  181,  2491,  2853,
-  2612,  2721,  2722,  193,  203,  208,  204,  208,
-  208,  205,  47,  48,  49,  14,  172,  2470,
-  184,  26,  172,  2523,  2644,  184,  2481,  2754,
-  2602,  196,  196,  38,  172,  2523,  2644,  184,
-  2524,  1600,  2645,  2754,  2755,  196,  2492,  2853,
-  2613,  2853,  2854,  2723,  208,  208,  208,  50,
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-  2733,  194,  2503,  2941,  2624,  2941,  2942,  2734,
-  2831,  2832,  2833,  206,  215,  220,  216,  220,
-  220,  217,  220,  220,  220,  218,  59,  60,
-  61,  62,  15,  172,  2471,  184,  27,  172,
-  2523,  2644,  184,  2482,  2754,  2603,  196,  196,
-  39,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2493,  2853,  2614,  2853,  2854,
-  2724,  208,  208,  208,  51,  172,  2523,  2644,
-  184,  2524,  4646,  2645,  2754,  2755,  196,  2525,
-  4647,  2646,  1602,  1601,  1602,  2853,  2854,  1602,
-  208,  2504,  2941,  2625,  2941,  2942,  2735,  2941,
-  2942,  1602,  2834,  220,  220,  220,  220,  63,
-  171,  2512,  2633,  183,  2513,  3018,  2634,  2743,
-  2744,  195,  2514,  3018,  2635,  3018,  3019,  2745,
-  2842,  2843,  2844,  207,  2515,  3018,  2636,  3018,
-  3019,  2746,  3018,  3019,  1602,  2845,  2930,  2931,
-  2932,  2933,  219,  227,  232,  228,  232,  232,
-  229,  232,  232,  232,  230,  232,  232,  232,
-  232,  231,  71,  72,  73,  74,  75,  16,
-  172,  239,  184,  28,  172,  239,  240,  184,
-  239,  241,  240,  196,  196,  40,  172,  239,
-  240,  184,  239,  2006,  240,  241,  241,  196,
-  239,  242,  240,  242,  242,  241,  208,  208,
-  208,  52,  172,  239,  240,  184,  239,  2006,
-  240,  241,  241,  196,  239,  2006,  240,  2007,
-  2017,  241,  242,  242,  242,  208,  239,  243,
-  240,  243,  243,  241,  243,  243,  243,  242,
-  220,  220,  220,  220,  64,  172,  239,  240,
-  184,  239,  2006,  240,  241,  241,  196,  239,
-  2006,  240,  2007,  2017,  241,  242,  242,  242,
-  208,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  1602,  242,  243,  243,  243,  243,  220,
-  239,  244,  240,  244,  244,  241,  244,  244,
-  244,  242,  244,  244,  244,  244,  243,  232,
-  232,  232,  232,  232,  76,  83,  83,  83,
-  84,  83,  83,  84,  83,  84,  85,  83,
-  83,  84,  83,  84,  85,  83,  84,  85,
-  86,  83,  83,  84,  83,  84,  85,  83,
-  84,  85,  86,  83,  84,  85,  86,  87,
-  83,  83,  84,  83,  84,  85,  83,  84,
-  85,  86,  83,  84,  85,  86,  87,  83,
-  84,  85,  86,  87,  88,  11,  167,  23,
-  11,  167,  179,  23,  12,  168,  2468,  180,
-  24,  168,  191,  192,  180,  35,  35,  36,
-  11,  167,  179,  23,  12,  1610,  2468,  1676,
-  24,  168,  2479,  2600,  180,  191,  1742,  192,
-  35,  36,  13,  169,  2469,  181,  25,  169,
-  2490,  2611,  181,  2480,  2721,  2601,  193,  193,
-  37,  169,  203,  204,  181,  203,  1808,  204,
-  205,  205,  193,  47,  47,  48,  47,  48,
-  49,  11,  167,  179,  23,  12,  1610,  2468,
-  1676,  24,  168,  2479,  2600,  180,  191,  1742,
-  192,  35,  36,  13,  1611,  2469,  1677,  25,
-  1621,  1600,  1600,  1687,  2480,  1600,  2601,  1743,
-  1753,  37,  169,  2490,  2611,  181,  2491,  1600,
-  2612,  2721,  2722,  193,  203,  1808,  204,  1809,
-  1819,  205,  47,  48,  49,  14,  170,  2470,
-  182,  26,  170,  2501,  2622,  182,  2481,  2732,
-  2602,  194,  194,  38,  170,  2501,  2622,  182,
-  2502,  1600,  2623,  2732,  2733,  194,  2492,  2831,
-  2613,  2831,  2832,  2723,  206,  206,  206,  50,
-  170,  215,  216,  182,  215,  1874,  216,  217,
-  217,  194,  215,  1874,  216,  1875,  1885,  217,
-  218,  218,  218,  206,  59,  59,  60,  59,
-  60,  61,  59,  60,  61,  62,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  1601,
-  3776,  1601,  1763,  2492,  3987,  2613,  3996,  1601,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  1601,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  171,  2471,  183,  27,  171,  2512,  2633,  183,
-  2482,  2743,  2603,  195,  195,  39,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2493,  2842,  2614,  2842,  2843,  2724,  207,  207,
-  207,  51,  171,  2512,  2633,  183,  2513,  4426,
-  2634,  2743,  2744,  195,  2514,  4427,  2635,  4436,
-  1601,  2745,  2842,  2843,  2844,  207,  2504,  2930,
-  2625,  2930,  2931,  2735,  2930,  2931,  2932,  2834,
-  219,  219,  219,  219,  63,  171,  227,  228,
-  183,  227,  1940,  228,  229,  229,  195,  227,
-  1940,  228,  1941,  1951,  229,  230,  230,  230,
-  207,  227,  1940,  228,  1941,  1951,  229,  1942,
-  1952,  1961,  230,  231,  231,  231,  231,  219,
-  71,  71,  72,  71,  72,  73,  71,  72,
-  73,  74,  71,  72,  73,  74,  75,  11,
-  167,  179,  23,  12,  1610,  2468,  1676,  24,
-  168,  2479,  2600,  180,  191,  1742,  192,  35,
-  36,  13,  1611,  2469,  1677,  25,  1621,  3326,
-  3546,  1687,  2480,  3766,  2601,  1743,  1753,  37,
-  169,  2490,  2611,  181,  2491,  3986,  2612,  2721,
-  2722,  193,  203,  1808,  204,  1809,  1819,  205,
-  47,  48,  49,  14,  1612,  2470,  1678,  26,
-  1622,  3327,  3547,  1688,  2481,  3767,  2602,  1744,
-  1754,  38,  1631,  3336,  3556,  1697,  3381,  1600,
-  3601,  3776,  3821,  1763,  2492,  3987,  2613,  3996,
-  4041,  2723,  1810,  1820,  1829,  50,  170,  2501,
-  2622,  182,  2502,  4206,  2623,  2732,  2733,  194,
-  2503,  4207,  2624,  4216,  4261,  2734,  2831,  2832,
-  2833,  206,  215,  1874,  216,  1875,  1885,  217,
-  1876,  1886,  1895,  218,  59,  60,  61,  62,
-  15,  1613,  2471,  1679,  27,  1623,  3328,  3548,
-  1689,  2482,  3768,  2603,  1745,  1755,  39,  1632,
-  3337,  3557,  1698,  3382,  6186,  3602,  3777,  3822,
-  1764,  2493,  3988,  2614,  3997,  4042,  2724,  1811,
-  1821,  1830,  51,  1640,  3345,  3565,  1706,  3390,
-  6194,  3610,  3785,  3830,  1772,  1603,  1603,  1603,
-  1602,  1601,  1602,  1603,  1603,  1602,  1603,  2504,
-  4208,  2625,  4217,  4262,  2735,  1603,  1603,  1602,
-  1603,  1877,  1887,  1896,  1603,  63,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2514,  4427,  2635,  4436,  4481,  2745,  2842,  2843,
-  2844,  207,  2515,  4428,  2636,  4437,  4482,  2746,
-  1603,  1603,  1602,  1603,  2930,  2931,  2932,  1603,
-  219,  227,  1940,  228,  1941,  1951,  229,  1942,
-  1952,  1961,  230,  1943,  1953,  1962,  1603,  231,
-  71,  72,  73,  74,  75,  16,  172,  2472,
-  184,  28,  172,  2523,  2644,  184,  2483,  2754,
-  2604,  196,  196,  40,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2494,  2853,
-  2615,  2853,  2854,  2725,  208,  208,  208,  52,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2525,  4647,  2646,  4656,  4701,  2756,
-  2853,  2854,  2855,  208,  2505,  2941,  2626,  2941,
-  2942,  2736,  2941,  2942,  2943,  2835,  220,  220,
-  220,  220,  64,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2526,
-  4648,  2647,  4657,  4702,  2757,  1603,  1603,  1602,
-  1603,  2941,  2942,  2943,  1603,  220,  2516,  3018,
-  2637,  3018,  3019,  2747,  3018,  3019,  3020,  2846,
-  3018,  3019,  3020,  1603,  2934,  232,  232,  232,
-  232,  232,  76,  172,  239,  240,  184,  239,
-  2006,  240,  241,  241,  196,  239,  2006,  240,
-  2007,  2017,  241,  242,  242,  242,  208,  239,
-  2006,  240,  2007,  2017,  241,  2008,  2018,  2027,
-  242,  243,  243,  243,  243,  220,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  2009,  2019,  2028,  1603,  243,  244,  244,  244,
-  244,  244,  232,  83,  83,  84,  83,  84,
-  85,  83,  84,  85,  86,  83,  84,  85,
-  86,  87,  83,  84,  85,  86,  87,  88,
-  11,  167,  179,  23,  12,  173,  2468,  185,
-  24,  168,  2479,  2600,  180,  191,  197,  192,
-  35,  36,  13,  173,  2469,  185,  25,  173,
-  2534,  2655,  185,  2480,  2765,  2601,  197,  197,
-  37,  169,  2490,  2611,  181,  2491,  2864,  2612,
-  2721,  2722,  193,  203,  209,  204,  209,  209,
-  205,  47,  48,  49,  14,  173,  2470,  185,
-  26,  173,  2534,  2655,  185,  2481,  2765,  2602,
-  197,  197,  38,  173,  2534,  2655,  185,  2535,
-  1600,  2656,  2765,  2766,  197,  2492,  2864,  2613,
-  2864,  2865,  2723,  209,  209,  209,  50,  170,
-  2501,  2622,  182,  2502,  2952,  2623,  2732,  2733,
-  194,  2503,  2952,  2624,  2952,  2953,  2734,  2831,
-  2832,  2833,  206,  215,  221,  216,  221,  221,
-  217,  221,  221,  221,  218,  59,  60,  61,
-  62,  15,  173,  2471,  185,  27,  173,  2534,
-  2655,  185,  2482,  2765,  2603,  197,  197,  39,
-  173,  2534,  2655,  185,  2535,  4866,  2656,  2765,
-  2766,  197,  2493,  2864,  2614,  2864,  2865,  2724,
-  209,  209,  209,  51,  173,  2534,  2655,  185,
-  2535,  4866,  2656,  2765,  2766,  197,  2536,  4867,
-  2657,  4876,  1601,  2767,  2864,  2865,  2866,  209,
-  2504,  2952,  2625,  2952,  2953,  2735,  2952,  2953,
-  2954,  2834,  221,  221,  221,  221,  63,  171,
-  2512,  2633,  183,  2513,  3029,  2634,  2743,  2744,
-  195,  2514,  3029,  2635,  3029,  3030,  2745,  2842,
-  2843,  2844,  207,  2515,  3029,  2636,  3029,  3030,
-  2746,  3029,  3030,  3031,  2845,  2930,  2931,  2932,
-  2933,  219,  227,  233,  228,  233,  233,  229,
-  233,  233,  233,  230,  233,  233,  233,  233,
-  231,  71,  72,  73,  74,  75,  16,  173,
-  2472,  185,  28,  173,  2534,  2655,  185,  2483,
-  2765,  2604,  197,  197,  40,  173,  2534,  2655,
-  185,  2535,  4866,  2656,  2765,  2766,  197,  2494,
-  2864,  2615,  2864,  2865,  2725,  209,  209,  209,
-  52,  173,  2534,  2655,  185,  2535,  4866,  2656,
-  2765,  2766,  197,  2536,  4867,  2657,  4876,  4921,
-  2767,  2864,  2865,  2866,  209,  2505,  2952,  2626,
-  2952,  2953,  2736,  2952,  2953,  2954,  2835,  221,
-  221,  221,  221,  64,  173,  2534,  2655,  185,
-  2535,  4866,  2656,  2765,  2766,  197,  2536,  4867,
-  2657,  4876,  4921,  2767,  2864,  2865,  2866,  209,
-  2537,  4868,  2658,  4877,  4922,  2768,  1603,  1603,
-  1602,  1603,  2952,  2953,  2954,  1603,  221,  2516,
-  3029,  2637,  3029,  3030,  2747,  3029,  3030,  3031,
-  2846,  3029,  3030,  3031,  1603,  2934,  233,  233,
-  233,  233,  233,  76,  172,  2523,  2644,  184,
-  2524,  3095,  2645,  2754,  2755,  196,  2525,  3095,
-  2646,  3095,  3096,  2756,  2853,  2854,  2855,  208,
-  2526,  3095,  2647,  3095,  3096,  2757,  3095,  3096,
-  3097,  2856,  2941,  2942,  2943,  2944,  220,  2527,
-  3095,  2648,  3095,  3096,  2758,  3095,  3096,  3097,
-  2857,  3095,  3096,  3097,  1603,  2945,  3018,  3019,
-  3020,  3021,  3022,  232,  239,  245,  240,  245,
-  245,  241,  245,  245,  245,  242,  245,  245,
-  245,  245,  243,  245,  245,  245,  245,  245,
-  244,  83,  84,  85,  86,  87,  88,  17,
-  173,  251,  185,  29,  173,  251,  252,  185,
-  251,  253,  252,  197,  197,  41,  173,  251,
-  252,  185,  251,  2072,  252,  253,  253,  197,
-  251,  254,  252,  254,  254,  253,  209,  209,
-  209,  53,  173,  251,  252,  185,  251,  2072,
-  252,  253,  253,  197,  251,  2072,  252,  2073,
-  2083,  253,  254,  254,  254,  209,  251,  255,
-  252,  255,  255,  253,  255,  255,  255,  254,
-  221,  221,  221,  221,  65,  173,  251,  252,
-  185,  251,  2072,  252,  253,  253,  197,  251,
-  2072,  252,  2073,  2083,  253,  254,  254,  254,
-  209,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  255,  255,  255,  255,  221,
-  251,  256,  252,  256,  256,  253,  256,  256,
-  256,  254,  256,  256,  256,  256,  255,  233,
-  233,  233,  233,  233,  77,  173,  251,  252,
-  185,  251,  2072,  252,  253,  253,  197,  251,
-  2072,  252,  2073,  2083,  253,  254,  254,  254,
-  209,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  255,  255,  255,  255,  221,
-  251,  2072,  252,  2073,  2083,  253,  2074,  2084,
-  2093,  254,  2075,  2085,  2094,  1603,  255,  256,
-  256,  256,  256,  256,  233,  251,  257,  252,
-  257,  257,  253,  257,  257,  257,  254,  257,
-  257,  257,  257,  255,  257,  257,  257,  257,
-  257,  256,  245,  245,  245,  245,  245,  245,
-  89,  95,  95,  95,  96,  95,  95,  96,
-  95,  96,  97,  95,  95,  96,  95,  96,
-  97,  95,  96,  97,  98,  95,  95,  96,
-  95,  96,  97,  95,  96,  97,  98,  95,
-  96,  97,  98,  99,  95,  95,  96,  95,
-  96,  97,  95,  96,  97,  98,  95,  96,
-  97,  98,  99,  95,  96,  97,  98,  99,
-  100,  95,  95,  96,  95,  96,  97,  95,
-  96,  97,  98,  95,  96,  97,  98,  99,
-  95,  96,  97,  98,  99,  100,  95,  96,
-  97,  98,  99,  100,  101,  11,  167,  23,
-  11,  167,  179,  23,  12,  168,  2468,  180,
-  24,  168,  191,  192,  180,  35,  35,  36,
-  11,  167,  179,  23,  12,  1610,  2468,  1676,
-  24,  168,  2479,  2600,  180,  191,  1742,  192,
-  35,  36,  13,  169,  2469,  181,  25,  169,
-  2490,  2611,  181,  2480,  2721,  2601,  193,  193,
-  37,  169,  203,  204,  181,  203,  1808,  204,
-  205,  205,  193,  47,  47,  48,  47,  48,
-  49,  11,  167,  179,  23,  12,  1610,  2468,
-  1676,  24,  168,  2479,  2600,  180,  191,  1742,
-  192,  35,  36,  13,  1611,  2469,  1677,  25,
-  1621,  1600,  1600,  1687,  2480,  1600,  2601,  1743,
-  1753,  37,  169,  2490,  2611,  181,  2491,  1600,
-  2612,  2721,  2722,  193,  203,  1808,  204,  1809,
-  1819,  205,  47,  48,  49,  14,  170,  2470,
-  182,  26,  170,  2501,  2622,  182,  2481,  2732,
-  2602,  194,  194,  38,  170,  2501,  2622,  182,
-  2502,  1600,  2623,  2732,  2733,  194,  2492,  2831,
-  2613,  2831,  2832,  2723,  206,  206,  206,  50,
-  170,  215,  216,  182,  215,  1874,  216,  217,
-  217,  194,  215,  1874,  216,  1875,  1885,  217,
-  218,  218,  218,  206,  59,  59,  60,  59,
-  60,  61,  59,  60,  61,  62,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  1601,
-  3776,  1601,  1763,  2492,  3987,  2613,  3996,  1601,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  1601,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  171,  2471,  183,  27,  171,  2512,  2633,  183,
-  2482,  2743,  2603,  195,  195,  39,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2493,  2842,  2614,  2842,  2843,  2724,  207,  207,
-  207,  51,  171,  2512,  2633,  183,  2513,  4426,
-  2634,  2743,  2744,  195,  2514,  4427,  2635,  4436,
-  1601,  2745,  2842,  2843,  2844,  207,  2504,  2930,
-  2625,  2930,  2931,  2735,  2930,  2931,  2932,  2834,
-  219,  219,  219,  219,  63,  171,  227,  228,
-  183,  227,  1940,  228,  229,  229,  195,  227,
-  1940,  228,  1941,  1951,  229,  230,  230,  230,
-  207,  227,  1940,  228,  1941,  1951,  229,  1942,
-  1952,  1961,  230,  231,  231,  231,  231,  219,
-  71,  71,  72,  71,  72,  73,  71,  72,
-  73,  74,  71,  72,  73,  74,  75,  11,
-  167,  179,  23,  12,  1610,  2468,  1676,  24,
-  168,  2479,  2600,  180,  191,  1742,  192,  35,
-  36,  13,  1611,  2469,  1677,  25,  1621,  3326,
-  3546,  1687,  2480,  3766,  2601,  1743,  1753,  37,
-  169,  2490,  2611,  181,  2491,  3986,  2612,  2721,
-  2722,  193,  203,  1808,  204,  1809,  1819,  205,
-  47,  48,  49,  14,  1612,  2470,  1678,  26,
-  1622,  3327,  3547,  1688,  2481,  3767,  2602,  1744,
-  1754,  38,  1631,  3336,  3556,  1697,  3381,  1600,
-  3601,  3776,  3821,  1763,  2492,  3987,  2613,  3996,
-  4041,  2723,  1810,  1820,  1829,  50,  170,  2501,
-  2622,  182,  2502,  4206,  2623,  2732,  2733,  194,
-  2503,  4207,  2624,  4216,  4261,  2734,  2831,  2832,
-  2833,  206,  215,  1874,  216,  1875,  1885,  217,
-  1876,  1886,  1895,  218,  59,  60,  61,  62,
-  15,  1613,  2471,  1679,  27,  1623,  3328,  3548,
-  1689,  2482,  3768,  2603,  1745,  1755,  39,  1632,
-  3337,  3557,  1698,  3382,  6186,  3602,  3777,  3822,
-  1764,  2493,  3988,  2614,  3997,  4042,  2724,  1811,
-  1821,  1830,  51,  1640,  3345,  3565,  1706,  3390,
-  6194,  3610,  3785,  3830,  1772,  3426,  6230,  3646,
-  1602,  1601,  1602,  4005,  4050,  1602,  1838,  2504,
-  4208,  2625,  4217,  4262,  2735,  4225,  4270,  1602,
-  2834,  1877,  1887,  1896,  1904,  63,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2514,  4427,  2635,  4436,  4481,  2745,  2842,  2843,
-  2844,  207,  2515,  4428,  2636,  4437,  4482,  2746,
-  4445,  4490,  1602,  2845,  2930,  2931,  2932,  2933,
-  219,  227,  1940,  228,  1941,  1951,  229,  1942,
-  1952,  1961,  230,  1943,  1953,  1962,  1970,  231,
-  71,  72,  73,  74,  75,  16,  172,  2472,
-  184,  28,  172,  2523,  2644,  184,  2483,  2754,
-  2604,  196,  196,  40,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2494,  2853,
-  2615,  2853,  2854,  2725,  208,  208,  208,  52,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2525,  4647,  2646,  4656,  4701,  2756,
-  2853,  2854,  2855,  208,  2505,  2941,  2626,  2941,
-  2942,  2736,  2941,  2942,  2943,  2835,  220,  220,
-  220,  220,  64,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2526,
-  4648,  2647,  4657,  4702,  2757,  4665,  4710,  1602,
-  2856,  2941,  2942,  2943,  2944,  220,  2516,  3018,
-  2637,  3018,  3019,  2747,  3018,  3019,  3020,  2846,
-  3018,  3019,  3020,  3021,  2934,  232,  232,  232,
-  232,  232,  76,  172,  239,  240,  184,  239,
-  2006,  240,  241,  241,  196,  239,  2006,  240,
-  2007,  2017,  241,  242,  242,  242,  208,  239,
-  2006,  240,  2007,  2017,  241,  2008,  2018,  2027,
-  242,  243,  243,  243,  243,  220,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  2009,  2019,  2028,  2036,  243,  244,  244,  244,
-  244,  244,  232,  83,  83,  84,  83,  84,
-  85,  83,  84,  85,  86,  83,  84,  85,
-  86,  87,  83,  84,  85,  86,  87,  88,
-  11,  167,  179,  23,  12,  1610,  2468,  1676,
-  24,  168,  2479,  2600,  180,  191,  1742,  192,
-  35,  36,  13,  1611,  2469,  1677,  25,  1621,
-  3326,  3546,  1687,  2480,  3766,  2601,  1743,  1753,
-  37,  169,  2490,  2611,  181,  2491,  3986,  2612,
-  2721,  2722,  193,  203,  1808,  204,  1809,  1819,
-  205,  47,  48,  49,  14,  1612,  2470,  1678,
-  26,  1622,  3327,  3547,  1688,  2481,  3767,  2602,
-  1744,  1754,  38,  1631,  3336,  3556,  1697,  3381,
-  1600,  3601,  3776,  3821,  1763,  2492,  3987,  2613,
-  3996,  4041,  2723,  1810,  1820,  1829,  50,  170,
-  2501,  2622,  182,  2502,  4206,  2623,  2732,  2733,
-  194,  2503,  4207,  2624,  4216,  4261,  2734,  2831,
-  2832,  2833,  206,  215,  1874,  216,  1875,  1885,
-  217,  1876,  1886,  1895,  218,  59,  60,  61,
-  62,  15,  1613,  2471,  1679,  27,  1623,  3328,
-  3548,  1689,  2482,  3768,  2603,  1745,  1755,  39,
-  1632,  3337,  3557,  1698,  3382,  6186,  3602,  3777,
-  3822,  1764,  2493,  3988,  2614,  3997,  4042,  2724,
-  1811,  1821,  1830,  51,  1640,  3345,  3565,  1706,
-  3390,  6194,  3610,  3785,  3830,  1772,  3426,  6230,
-  3646,  6350,  1601,  3866,  4005,  4050,  4086,  1838,
-  2504,  4208,  2625,  4217,  4262,  2735,  4225,  4270,
-  4306,  2834,  1877,  1887,  1896,  1904,  63,  171,
-  2512,  2633,  183,  2513,  4426,  2634,  2743,  2744,
-  195,  2514,  4427,  2635,  4436,  4481,  2745,  2842,
-  2843,  2844,  207,  2515,  4428,  2636,  4437,  4482,
-  2746,  4445,  4490,  4526,  2845,  2930,  2931,  2932,
-  2933,  219,  227,  1940,  228,  1941,  1951,  229,
-  1942,  1952,  1961,  230,  1943,  1953,  1962,  1970,
-  231,  71,  72,  73,  74,  75,  16,  1614,
-  2472,  1680,  28,  1624,  3329,  3549,  1690,  2483,
-  3769,  2604,  1746,  1756,  40,  1633,  3338,  3558,
-  1699,  3383,  6187,  3603,  3778,  3823,  1765,  2494,
-  3989,  2615,  3998,  4043,  2725,  1812,  1822,  1831,
-  52,  1641,  3346,  3566,  1707,  3391,  6195,  3611,
-  3786,  3831,  1773,  3427,  6231,  3647,  6351,  6679,
-  3867,  4006,  4051,  4087,  1839,  2505,  4209,  2626,
-  4218,  4263,  2736,  4226,  4271,  4307,  2835,  1878,
-  1888,  1897,  1905,  64,  1648,  3353,  3573,  1714,
-  3398,  6202,  3618,  3793,  3838,  1780,  3434,  6238,
-  3654,  6358,  6686,  3874,  4013,  4058,  4094,  1846,
-  1604,  1604,  1604,  1604,  1604,  1604,  1603,  1603,
-  1602,  1603,  1604,  1604,  1604,  1603,  1604,  2516,
-  4429,  2637,  4438,  4483,  2747,  4446,  4491,  4527,
-  2846,  1604,  1604,  1604,  1603,  1604,  1944,  1954,
-  1963,  1971,  1604,  76,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2525,  4647,
-  2646,  4656,  4701,  2756,  2853,  2854,  2855,  208,
-  2526,  4648,  2647,  4657,  4702,  2757,  4665,  4710,
-  4746,  2856,  2941,  2942,  2943,  2944,  220,  2527,
-  4649,  2648,  4658,  4703,  2758,  4666,  4711,  4747,
-  2857,  1604,  1604,  1604,  1603,  1604,  3018,  3019,
-  3020,  3021,  1604,  232,  239,  2006,  240,  2007,
-  2017,  241,  2008,  2018,  2027,  242,  2009,  2019,
-  2028,  2036,  243,  2010,  2020,  2029,  2037,  1604,
-  244,  83,  84,  85,  86,  87,  88,  17,
-  173,  2473,  185,  29,  173,  2534,  2655,  185,
-  2484,  2765,  2605,  197,  197,  41,  173,  2534,
-  2655,  185,  2535,  4866,  2656,  2765,  2766,  197,
-  2495,  2864,  2616,  2864,  2865,  2726,  209,  209,
-  209,  53,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2506,  2952,
-  2627,  2952,  2953,  2737,  2952,  2953,  2954,  2836,
-  221,  221,  221,  221,  65,  173,  2534,  2655,
-  185,  2535,  4866,  2656,  2765,  2766,  197,  2536,
-  4867,  2657,  4876,  4921,  2767,  2864,  2865,  2866,
-  209,  2537,  4868,  2658,  4877,  4922,  2768,  4885,
-  4930,  4966,  2867,  2952,  2953,  2954,  2955,  221,
-  2517,  3029,  2638,  3029,  3030,  2748,  3029,  3030,
-  3031,  2847,  3029,  3030,  3031,  3032,  2935,  233,
-  233,  233,  233,  233,  77,  173,  2534,  2655,
-  185,  2535,  4866,  2656,  2765,  2766,  197,  2536,
-  4867,  2657,  4876,  4921,  2767,  2864,  2865,  2866,
-  209,  2537,  4868,  2658,  4877,  4922,  2768,  4885,
-  4930,  4966,  2867,  2952,  2953,  2954,  2955,  221,
-  2538,  4869,  2659,  4878,  4923,  2769,  4886,  4931,
-  4967,  2868,  1604,  1604,  1604,  1603,  1604,  3029,
-  3030,  3031,  3032,  1604,  233,  2528,  3095,  2649,
-  3095,  3096,  2759,  3095,  3096,  3097,  2858,  3095,
-  3096,  3097,  3098,  2946,  3095,  3096,  3097,  3098,
-  1604,  3023,  245,  245,  245,  245,  245,  245,
-  89,  173,  251,  252,  185,  251,  2072,  252,
-  253,  253,  197,  251,  2072,  252,  2073,  2083,
-  253,  254,  254,  254,  209,  251,  2072,  252,
-  2073,  2083,  253,  2074,  2084,  2093,  254,  255,
-  255,  255,  255,  221,  251,  2072,  252,  2073,
-  2083,  253,  2074,  2084,  2093,  254,  2075,  2085,
-  2094,  2102,  255,  256,  256,  256,  256,  256,
-  233,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  2075,  2085,  2094,  2102,  255,
-  2076,  2086,  2095,  2103,  1604,  256,  257,  257,
-  257,  257,  257,  257,  245,  95,  95,  96,
-  95,  96,  97,  95,  96,  97,  98,  95,
-  96,  97,  98,  99,  95,  96,  97,  98,
-  99,  100,  95,  96,  97,  98,  99,  100,
-  101,  11,  167,  179,  23,  12,  174,  2468,
-  186,  24,  168,  2479,  2600,  180,  191,  198,
-  192,  35,  36,  13,  174,  2469,  186,  25,
-  174,  2545,  2666,  186,  2480,  2776,  2601,  198,
-  198,  37,  169,  2490,  2611,  181,  2491,  2875,
-  2612,  2721,  2722,  193,  203,  210,  204,  210,
-  210,  205,  47,  48,  49,  14,  174,  2470,
-  186,  26,  174,  2545,  2666,  186,  2481,  2776,
-  2602,  198,  198,  38,  174,  2545,  2666,  186,
-  2546,  1600,  2667,  2776,  2777,  198,  2492,  2875,
-  2613,  2875,  2876,  2723,  210,  210,  210,  50,
-  170,  2501,  2622,  182,  2502,  2963,  2623,  2732,
-  2733,  194,  2503,  2963,  2624,  2963,  2964,  2734,
-  2831,  2832,  2833,  206,  215,  222,  216,  222,
-  222,  217,  222,  222,  222,  218,  59,  60,
-  61,  62,  15,  174,  2471,  186,  27,  174,
-  2545,  2666,  186,  2482,  2776,  2603,  198,  198,
-  39,  174,  2545,  2666,  186,  2546,  5086,  2667,
-  2776,  2777,  198,  2493,  2875,  2614,  2875,  2876,
-  2724,  210,  210,  210,  51,  174,  2545,  2666,
-  186,  2546,  5086,  2667,  2776,  2777,  198,  2547,
-  5087,  2668,  5096,  1601,  2778,  2875,  2876,  2877,
-  210,  2504,  2963,  2625,  2963,  2964,  2735,  2963,
-  2964,  2965,  2834,  222,  222,  222,  222,  63,
-  171,  2512,  2633,  183,  2513,  3040,  2634,  2743,
-  2744,  195,  2514,  3040,  2635,  3040,  3041,  2745,
-  2842,  2843,  2844,  207,  2515,  3040,  2636,  3040,
-  3041,  2746,  3040,  3041,  3042,  2845,  2930,  2931,
-  2932,  2933,  219,  227,  234,  228,  234,  234,
-  229,  234,  234,  234,  230,  234,  234,  234,
-  234,  231,  71,  72,  73,  74,  75,  16,
-  174,  2472,  186,  28,  174,  2545,  2666,  186,
-  2483,  2776,  2604,  198,  198,  40,  174,  2545,
-  2666,  186,  2546,  5086,  2667,  2776,  2777,  198,
-  2494,  2875,  2615,  2875,  2876,  2725,  210,  210,
-  210,  52,  174,  2545,  2666,  186,  2546,  5086,
-  2667,  2776,  2777,  198,  2547,  5087,  2668,  5096,
-  5141,  2778,  2875,  2876,  2877,  210,  2505,  2963,
-  2626,  2963,  2964,  2736,  2963,  2964,  2965,  2835,
-  222,  222,  222,  222,  64,  174,  2545,  2666,
-  186,  2546,  5086,  2667,  2776,  2777,  198,  2547,
-  5087,  2668,  5096,  5141,  2778,  2875,  2876,  2877,
-  210,  2548,  5088,  2669,  5097,  5142,  2779,  5105,
-  5150,  1602,  2878,  2963,  2964,  2965,  2966,  222,
-  2516,  3040,  2637,  3040,  3041,  2747,  3040,  3041,
-  3042,  2846,  3040,  3041,  3042,  3043,  2934,  234,
-  234,  234,  234,  234,  76,  172,  2523,  2644,
-  184,  2524,  3106,  2645,  2754,  2755,  196,  2525,
-  3106,  2646,  3106,  3107,  2756,  2853,  2854,  2855,
-  208,  2526,  3106,  2647,  3106,  3107,  2757,  3106,
-  3107,  3108,  2856,  2941,  2942,  2943,  2944,  220,
-  2527,  3106,  2648,  3106,  3107,  2758,  3106,  3107,
-  3108,  2857,  3106,  3107,  3108,  3109,  2945,  3018,
-  3019,  3020,  3021,  3022,  232,  239,  246,  240,
-  246,  246,  241,  246,  246,  246,  242,  246,
-  246,  246,  246,  243,  246,  246,  246,  246,
-  246,  244,  83,  84,  85,  86,  87,  88,
-  17,  174,  2473,  186,  29,  174,  2545,  2666,
-  186,  2484,  2776,  2605,  198,  198,  41,  174,
-  2545,  2666,  186,  2546,  5086,  2667,  2776,  2777,
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-  1961,  230,  1943,  1953,  1962,  1970,  231,  71,
-  72,  73,  74,  75,  16,  1614,  2472,  1680,
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-  1746,  1756,  40,  1633,  3338,  3558,  1699,  3383,
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-  2736,  4226,  4271,  4307,  2835,  1878,  1888,  1897,
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-  3618,  3793,  3838,  1780,  3434,  6238,  3654,  6358,
-  6686,  3874,  4013,  4058,  4094,  1846,  3462,  6266,
-  3682,  6386,  6714,  3902,  1603,  1603,  1602,  1603,
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-  4438,  4483,  2747,  4446,  4491,  4527,  2846,  4453,
-  4498,  4534,  1603,  2934,  1944,  1954,  1963,  1971,
-  1978,  76,  172,  2523,  2644,  184,  2524,  4646,
-  2645,  2754,  2755,  196,  2525,  4647,  2646,  4656,
-  4701,  2756,  2853,  2854,  2855,  208,  2526,  4648,
-  2647,  4657,  4702,  2757,  4665,  4710,  4746,  2856,
-  2941,  2942,  2943,  2944,  220,  2527,  4649,  2648,
-  4658,  4703,  2758,  4666,  4711,  4747,  2857,  4673,
-  4718,  4754,  1603,  2945,  3018,  3019,  3020,  3021,
-  3022,  232,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  2009,  2019,  2028,  2036,
-  243,  2010,  2020,  2029,  2037,  2044,  244,  83,
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-  217,  1876,  1886,  1602,  218,  59,  60,  61,
-  62,  15,  171,  2471,  183,  27,  171,  2512,
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-  2744,  195,  2493,  2842,  2614,  2842,  2843,  2724,
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-  2504,  2930,  2625,  2930,  2931,  2735,  2930,  2931,
-  1602,  2834,  219,  219,  219,  219,  63,  171,
-  227,  228,  183,  227,  1940,  228,  229,  229,
-  195,  227,  1940,  228,  1941,  1951,  229,  230,
-  230,  230,  207,  227,  1940,  228,  1941,  1951,
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-  231,  219,  71,  71,  72,  71,  72,  73,
-  71,  72,  73,  74,  71,  72,  73,  74,
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-  192,  35,  36,  13,  172,  2469,  184,  25,
-  172,  2523,  2644,  184,  2480,  2754,  2601,  196,
-  196,  37,  169,  2490,  2611,  181,  2491,  2853,
-  2612,  2721,  2722,  193,  203,  208,  204,  208,
-  208,  205,  47,  48,  49,  14,  172,  2470,
-  184,  26,  172,  2523,  2644,  184,  2481,  2754,
-  2602,  196,  196,  38,  172,  2523,  2644,  184,
-  2524,  1600,  2645,  2754,  2755,  196,  2492,  2853,
-  2613,  2853,  2854,  2723,  208,  208,  208,  50,
-  170,  2501,  2622,  182,  2502,  2941,  2623,  2732,
-  2733,  194,  2503,  2941,  2624,  2941,  2942,  2734,
-  2831,  2832,  2833,  206,  215,  220,  216,  220,
-  220,  217,  220,  220,  220,  218,  59,  60,
-  61,  62,  15,  172,  2471,  184,  27,  172,
-  2523,  2644,  184,  2482,  2754,  2603,  196,  196,
-  39,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2493,  2853,  2614,  2853,  2854,
-  2724,  208,  208,  208,  51,  172,  2523,  2644,
-  184,  2524,  4646,  2645,  2754,  2755,  196,  2525,
-  4647,  2646,  1602,  1601,  1602,  2853,  2854,  1602,
-  208,  2504,  2941,  2625,  2941,  2942,  2735,  2941,
-  2942,  1602,  2834,  220,  220,  220,  220,  63,
-  171,  2512,  2633,  183,  2513,  3018,  2634,  2743,
-  2744,  195,  2514,  3018,  2635,  3018,  3019,  2745,
-  2842,  2843,  2844,  207,  2515,  3018,  2636,  3018,
-  3019,  2746,  3018,  3019,  1602,  2845,  2930,  2931,
-  2932,  2933,  219,  227,  232,  228,  232,  232,
-  229,  232,  232,  232,  230,  232,  232,  232,
-  232,  231,  71,  72,  73,  74,  75,  16,
-  172,  239,  184,  28,  172,  239,  240,  184,
-  239,  241,  240,  196,  196,  40,  172,  239,
-  240,  184,  239,  2006,  240,  241,  241,  196,
-  239,  242,  240,  242,  242,  241,  208,  208,
-  208,  52,  172,  239,  240,  184,  239,  2006,
-  240,  241,  241,  196,  239,  2006,  240,  2007,
-  2017,  241,  242,  242,  242,  208,  239,  243,
-  240,  243,  243,  241,  243,  243,  243,  242,
-  220,  220,  220,  220,  64,  172,  239,  240,
-  184,  239,  2006,  240,  241,  241,  196,  239,
-  2006,  240,  2007,  2017,  241,  242,  242,  242,
-  208,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  1602,  242,  243,  243,  243,  243,  220,
-  239,  244,  240,  244,  244,  241,  244,  244,
-  244,  242,  244,  244,  244,  244,  243,  232,
-  232,  232,  232,  232,  76,  83,  83,  83,
-  84,  83,  83,  84,  83,  84,  85,  83,
-  83,  84,  83,  84,  85,  83,  84,  85,
-  86,  83,  83,  84,  83,  84,  85,  83,
-  84,  85,  86,  83,  84,  85,  86,  87,
-  83,  83,  84,  83,  84,  85,  83,  84,
-  85,  86,  83,  84,  85,  86,  87,  83,
-  84,  85,  86,  87,  88,  11,  167,  23,
-  11,  167,  179,  23,  12,  168,  2468,  180,
-  24,  168,  191,  192,  180,  35,  35,  36,
-  11,  167,  179,  23,  12,  1610,  2468,  1676,
-  24,  168,  2479,  2600,  180,  191,  1742,  192,
-  35,  36,  13,  169,  2469,  181,  25,  169,
-  2490,  2611,  181,  2480,  2721,  2601,  193,  193,
-  37,  169,  203,  204,  181,  203,  1808,  204,
-  205,  205,  193,  47,  47,  48,  47,  48,
-  49,  11,  167,  179,  23,  12,  1610,  2468,
-  1676,  24,  168,  2479,  2600,  180,  191,  1742,
-  192,  35,  36,  13,  1611,  2469,  1677,  25,
-  1621,  1600,  1600,  1687,  2480,  1600,  2601,  1743,
-  1753,  37,  169,  2490,  2611,  181,  2491,  1600,
-  2612,  2721,  2722,  193,  203,  1808,  204,  1809,
-  1819,  205,  47,  48,  49,  14,  170,  2470,
-  182,  26,  170,  2501,  2622,  182,  2481,  2732,
-  2602,  194,  194,  38,  170,  2501,  2622,  182,
-  2502,  1600,  2623,  2732,  2733,  194,  2492,  2831,
-  2613,  2831,  2832,  2723,  206,  206,  206,  50,
-  170,  215,  216,  182,  215,  1874,  216,  217,
-  217,  194,  215,  1874,  216,  1875,  1885,  217,
-  218,  218,  218,  206,  59,  59,  60,  59,
-  60,  61,  59,  60,  61,  62,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  1601,
-  3776,  1601,  1763,  2492,  3987,  2613,  3996,  1601,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  1601,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  171,  2471,  183,  27,  171,  2512,  2633,  183,
-  2482,  2743,  2603,  195,  195,  39,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2493,  2842,  2614,  2842,  2843,  2724,  207,  207,
-  207,  51,  171,  2512,  2633,  183,  2513,  4426,
-  2634,  2743,  2744,  195,  2514,  4427,  2635,  4436,
-  1601,  2745,  2842,  2843,  2844,  207,  2504,  2930,
-  2625,  2930,  2931,  2735,  2930,  2931,  2932,  2834,
-  219,  219,  219,  219,  63,  171,  227,  228,
-  183,  227,  1940,  228,  229,  229,  195,  227,
-  1940,  228,  1941,  1951,  229,  230,  230,  230,
-  207,  227,  1940,  228,  1941,  1951,  229,  1942,
-  1952,  1961,  230,  231,  231,  231,  231,  219,
-  71,  71,  72,  71,  72,  73,  71,  72,
-  73,  74,  71,  72,  73,  74,  75,  11,
-  167,  179,  23,  12,  1610,  2468,  1676,  24,
-  168,  2479,  2600,  180,  191,  1742,  192,  35,
-  36,  13,  1611,  2469,  1677,  25,  1621,  3326,
-  3546,  1687,  2480,  3766,  2601,  1743,  1753,  37,
-  169,  2490,  2611,  181,  2491,  3986,  2612,  2721,
-  2722,  193,  203,  1808,  204,  1809,  1819,  205,
-  47,  48,  49,  14,  1612,  2470,  1678,  26,
-  1622,  3327,  3547,  1688,  2481,  3767,  2602,  1744,
-  1754,  38,  1631,  3336,  3556,  1697,  3381,  1600,
-  3601,  3776,  3821,  1763,  2492,  3987,  2613,  3996,
-  4041,  2723,  1810,  1820,  1829,  50,  170,  2501,
-  2622,  182,  2502,  4206,  2623,  2732,  2733,  194,
-  2503,  4207,  2624,  4216,  4261,  2734,  2831,  2832,
-  2833,  206,  215,  1874,  216,  1875,  1885,  217,
-  1876,  1886,  1895,  218,  59,  60,  61,  62,
-  15,  1613,  2471,  1679,  27,  1623,  3328,  3548,
-  1689,  2482,  3768,  2603,  1745,  1755,  39,  1632,
-  3337,  3557,  1698,  3382,  6186,  3602,  3777,  3822,
-  1764,  2493,  3988,  2614,  3997,  4042,  2724,  1811,
-  1821,  1830,  51,  1640,  3345,  3565,  1706,  3390,
-  6194,  3610,  3785,  3830,  1772,  1603,  1603,  1603,
-  1602,  1601,  1602,  1603,  1603,  1602,  1603,  2504,
-  4208,  2625,  4217,  4262,  2735,  1603,  1603,  1602,
-  1603,  1877,  1887,  1896,  1603,  63,  171,  2512,
-  2633,  183,  2513,  4426,  2634,  2743,  2744,  195,
-  2514,  4427,  2635,  4436,  4481,  2745,  2842,  2843,
-  2844,  207,  2515,  4428,  2636,  4437,  4482,  2746,
-  1603,  1603,  1602,  1603,  2930,  2931,  2932,  1603,
-  219,  227,  1940,  228,  1941,  1951,  229,  1942,
-  1952,  1961,  230,  1943,  1953,  1962,  1603,  231,
-  71,  72,  73,  74,  75,  16,  172,  2472,
-  184,  28,  172,  2523,  2644,  184,  2483,  2754,
-  2604,  196,  196,  40,  172,  2523,  2644,  184,
-  2524,  4646,  2645,  2754,  2755,  196,  2494,  2853,
-  2615,  2853,  2854,  2725,  208,  208,  208,  52,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2525,  4647,  2646,  4656,  4701,  2756,
-  2853,  2854,  2855,  208,  2505,  2941,  2626,  2941,
-  2942,  2736,  2941,  2942,  2943,  2835,  220,  220,
-  220,  220,  64,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2526,
-  4648,  2647,  4657,  4702,  2757,  1603,  1603,  1602,
-  1603,  2941,  2942,  2943,  1603,  220,  2516,  3018,
-  2637,  3018,  3019,  2747,  3018,  3019,  3020,  2846,
-  3018,  3019,  3020,  1603,  2934,  232,  232,  232,
-  232,  232,  76,  172,  239,  240,  184,  239,
-  2006,  240,  241,  241,  196,  239,  2006,  240,
-  2007,  2017,  241,  242,  242,  242,  208,  239,
-  2006,  240,  2007,  2017,  241,  2008,  2018,  2027,
-  242,  243,  243,  243,  243,  220,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  2009,  2019,  2028,  1603,  243,  244,  244,  244,
-  244,  244,  232,  83,  83,  84,  83,  84,
-  85,  83,  84,  85,  86,  83,  84,  85,
-  86,  87,  83,  84,  85,  86,  87,  88,
-  11,  167,  179,  23,  12,  173,  2468,  185,
-  24,  168,  2479,  2600,  180,  191,  197,  192,
-  35,  36,  13,  173,  2469,  185,  25,  173,
-  2534,  2655,  185,  2480,  2765,  2601,  197,  197,
-  37,  169,  2490,  2611,  181,  2491,  2864,  2612,
-  2721,  2722,  193,  203,  209,  204,  209,  209,
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-  169,  2490,  2611,  181,  2491,  3986,  2612,  2721,
-  2722,  193,  203,  1808,  204,  1809,  1819,  205,
-  47,  48,  49,  14,  1612,  2470,  1678,  26,
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-  1876,  1886,  1895,  218,  59,  60,  61,  62,
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-  231,  71,  72,  73,  74,  75,  16,  1614,
-  2472,  1680,  28,  1624,  3329,  3549,  1690,  2483,
-  3769,  2604,  1746,  1756,  40,  1633,  3338,  3558,
-  1699,  3383,  6187,  3603,  3778,  3823,  1765,  2494,
-  3989,  2615,  3998,  4043,  2725,  1812,  1822,  1831,
-  52,  1641,  3346,  3566,  1707,  3391,  6195,  3611,
-  3786,  3831,  1773,  3427,  6231,  3647,  6351,  6679,
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-  4218,  4263,  2736,  4226,  4271,  4307,  2835,  1878,
-  1888,  1897,  1905,  64,  1605,  1605,  1605,  1605,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1604,  1604,  1604,  1604,  1604,  1604,  1603,  1603,
-  1602,  1603,  1604,  1604,  1604,  1603,  1604,  1605,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1604,  1604,  1604,  1603,  1604,  1605,  1605,
-  1605,  1605,  1604,  76,  172,  2523,  2644,  184,
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-  2646,  4656,  4701,  2756,  2853,  2854,  2855,  208,
-  2526,  4648,  2647,  4657,  4702,  2757,  4665,  4710,
-  4746,  2856,  2941,  2942,  2943,  2944,  220,  1605,
-  1605,  1605,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1604,  1604,  1604,  1603,  1604,  1605,  1605,
-  1605,  1605,  1604,  232,  239,  2006,  240,  2007,
-  2017,  241,  2008,  2018,  2027,  242,  2009,  2019,
-  2028,  2036,  243,  1605,  1605,  1605,  1605,  1604,
-  244,  83,  84,  85,  86,  87,  88,  17,
-  173,  2473,  185,  29,  173,  2534,  2655,  185,
-  2484,  2765,  2605,  197,  197,  41,  173,  2534,
-  2655,  185,  2535,  4866,  2656,  2765,  2766,  197,
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-  71,  72,  73,  71,  72,  73,  74,  71,
-  72,  73,  74,  75,  11,  167,  179,  23,
-  12,  1610,  2468,  1676,  24,  168,  2479,  2600,
-  180,  191,  1742,  192,  35,  36,  13,  1611,
-  2469,  1677,  25,  1621,  3326,  3546,  1687,  2480,
-  3766,  2601,  1743,  1753,  37,  169,  2490,  2611,
-  181,  2491,  3986,  2612,  2721,  2722,  193,  203,
-  1808,  204,  1809,  1819,  205,  47,  48,  49,
-  14,  1612,  2470,  1678,  26,  1622,  3327,  3547,
-  1688,  2481,  3767,  2602,  1744,  1754,  38,  1631,
-  3336,  3556,  1697,  3381,  1600,  3601,  3776,  3821,
-  1763,  2492,  3987,  2613,  3996,  4041,  2723,  1810,
-  1820,  1829,  50,  170,  2501,  2622,  182,  2502,
-  4206,  2623,  2732,  2733,  194,  2503,  4207,  2624,
-  4216,  4261,  2734,  2831,  2832,  2833,  206,  215,
-  1874,  216,  1875,  1885,  217,  1876,  1886,  1895,
-  218,  59,  60,  61,  62,  15,  1613,  2471,
-  1679,  27,  1623,  3328,  3548,  1689,  2482,  3768,
-  2603,  1745,  1755,  39,  1632,  3337,  3557,  1698,
-  3382,  6186,  3602,  3777,  3822,  1764,  2493,  3988,
-  2614,  3997,  4042,  2724,  1811,  1821,  1830,  51,
-  1640,  3345,  3565,  1706,  3390,  6194,  3610,  3785,
-  3830,  1772,  1603,  1603,  1603,  1602,  1601,  1602,
-  1603,  1603,  1602,  1603,  2504,  4208,  2625,  4217,
-  4262,  2735,  1603,  1603,  1602,  1603,  1877,  1887,
-  1896,  1603,  63,  171,  2512,  2633,  183,  2513,
-  4426,  2634,  2743,  2744,  195,  2514,  4427,  2635,
-  4436,  4481,  2745,  2842,  2843,  2844,  207,  2515,
-  4428,  2636,  4437,  4482,  2746,  1603,  1603,  1602,
-  1603,  2930,  2931,  2932,  1603,  219,  227,  1940,
-  228,  1941,  1951,  229,  1942,  1952,  1961,  230,
-  1943,  1953,  1962,  1603,  231,  71,  72,  73,
-  74,  75,  16,  172,  2472,  184,  28,  172,
-  2523,  2644,  184,  2483,  2754,  2604,  196,  196,
-  40,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2494,  2853,  2615,  2853,  2854,
-  2725,  208,  208,  208,  52,  172,  2523,  2644,
-  184,  2524,  4646,  2645,  2754,  2755,  196,  2525,
-  4647,  2646,  4656,  4701,  2756,  2853,  2854,  2855,
-  208,  2505,  2941,  2626,  2941,  2942,  2736,  2941,
-  2942,  2943,  2835,  220,  220,  220,  220,  64,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2525,  4647,  2646,  4656,  4701,  2756,
-  2853,  2854,  2855,  208,  2526,  4648,  2647,  4657,
-  4702,  2757,  1603,  1603,  1602,  1603,  2941,  2942,
-  2943,  1603,  220,  2516,  3018,  2637,  3018,  3019,
-  2747,  3018,  3019,  3020,  2846,  3018,  3019,  3020,
-  1603,  2934,  232,  232,  232,  232,  232,  76,
-  172,  239,  240,  184,  239,  2006,  240,  241,
-  241,  196,  239,  2006,  240,  2007,  2017,  241,
-  242,  242,  242,  208,  239,  2006,  240,  2007,
-  2017,  241,  2008,  2018,  2027,  242,  243,  243,
-  243,  243,  220,  239,  2006,  240,  2007,  2017,
-  241,  2008,  2018,  2027,  242,  2009,  2019,  2028,
-  1603,  243,  244,  244,  244,  244,  244,  232,
-  83,  83,  84,  83,  84,  85,  83,  84,
-  85,  86,  83,  84,  85,  86,  87,  83,
-  84,  85,  86,  87,  88,  11,  167,  179,
-  23,  12,  173,  2468,  185,  24,  168,  2479,
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-  72,  73,  74,  75,  11,  167,  179,  23,
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-  180,  191,  1742,  192,  35,  36,  13,  1611,
-  2469,  1677,  25,  1621,  3326,  3546,  1687,  2480,
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-  218,  59,  60,  61,  62,  15,  1613,  2471,
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-  4647,  2646,  4656,  4701,  2756,  2853,  2854,  2855,
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-  203,  1808,  204,  1809,  1819,  205,  47,  48,
-  49,  14,  1612,  2470,  1678,  26,  1622,  3327,
-  3547,  1688,  2481,  3767,  2602,  1744,  1754,  38,
-  1631,  3336,  3556,  1697,  3381,  1600,  3601,  3776,
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-  1895,  218,  59,  60,  61,  62,  15,  1613,
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-  1698,  3382,  6186,  3602,  3777,  3822,  1764,  2493,
-  3988,  2614,  3997,  4042,  2724,  1811,  1821,  1830,
-  51,  1640,  3345,  3565,  1706,  3390,  6194,  3610,
-  3785,  3830,  1772,  3426,  6230,  3646,  6350,  1601,
-  3866,  4005,  4050,  4086,  1838,  2504,  4208,  2625,
-  4217,  4262,  2735,  4225,  4270,  4306,  2834,  1877,
-  1887,  1896,  1904,  63,  171,  2512,  2633,  183,
-  2513,  4426,  2634,  2743,  2744,  195,  2514,  4427,
-  2635,  4436,  4481,  2745,  2842,  2843,  2844,  207,
-  2515,  4428,  2636,  4437,  4482,  2746,  4445,  4490,
-  4526,  2845,  2930,  2931,  2932,  2933,  219,  227,
-  1940,  228,  1941,  1951,  229,  1942,  1952,  1961,
-  230,  1943,  1953,  1962,  1970,  231,  71,  72,
-  73,  74,  75,  16,  1614,  2472,  1680,  28,
-  1624,  3329,  3549,  1690,  2483,  3769,  2604,  1746,
-  1756,  40,  1633,  3338,  3558,  1699,  3383,  6187,
-  3603,  3778,  3823,  1765,  2494,  3989,  2615,  3998,
-  4043,  2725,  1812,  1822,  1831,  52,  1641,  3346,
-  3566,  1707,  3391,  6195,  3611,  3786,  3831,  1773,
-  3427,  6231,  3647,  6351,  6679,  3867,  4006,  4051,
-  4087,  1839,  2505,  4209,  2626,  4218,  4263,  2736,
-  4226,  4271,  4307,  2835,  1878,  1888,  1897,  1905,
-  64,  1648,  3353,  3573,  1714,  3398,  6202,  3618,
-  3793,  3838,  1780,  3434,  6238,  3654,  6358,  6686,
-  3874,  4013,  4058,  4094,  1846,  1604,  1604,  1604,
-  1604,  1604,  1604,  1603,  1603,  1602,  1603,  1604,
-  1604,  1604,  1603,  1604,  2516,  4429,  2637,  4438,
-  4483,  2747,  4446,  4491,  4527,  2846,  1604,  1604,
-  1604,  1603,  1604,  1944,  1954,  1963,  1971,  1604,
-  76,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2525,  4647,  2646,  4656,  4701,
-  2756,  2853,  2854,  2855,  208,  2526,  4648,  2647,
-  4657,  4702,  2757,  4665,  4710,  4746,  2856,  2941,
-  2942,  2943,  2944,  220,  2527,  4649,  2648,  4658,
-  4703,  2758,  4666,  4711,  4747,  2857,  1604,  1604,
-  1604,  1603,  1604,  3018,  3019,  3020,  3021,  1604,
-  232,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  2010,  2020,  2029,  2037,  1604,  244,  83,  84,
-  85,  86,  87,  88,  17,  173,  2473,  185,
-  29,  173,  2534,  2655,  185,  2484,  2765,  2605,
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-  245,  240,  245,  245,  241,  245,  245,  245,
-  242,  245,  245,  245,  245,  243,  245,  245,
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-  230,  230,  230,  207,  227,  1940,  228,  1941,
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-  231,  231,  219,  71,  71,  72,  71,  72,
-  73,  71,  72,  73,  74,  71,  72,  73,
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-  1809,  1819,  205,  47,  48,  49,  14,  1612,
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-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
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-  60,  61,  62,  15,  1613,  2471,  1679,  27,
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-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
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-  1602,  1838,  2504,  4208,  2625,  4217,  4262,  2735,
-  4225,  4270,  1602,  2834,  1877,  1887,  1896,  1904,
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-  2743,  2744,  195,  2514,  4427,  2635,  4436,  4481,
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-  4437,  4482,  2746,  4445,  4490,  1602,  2845,  2930,
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-  2523,  2644,  184,  2524,  4646,  2645,  2754,  2755,
-  196,  2494,  2853,  2615,  2853,  2854,  2725,  208,
-  208,  208,  52,  172,  2523,  2644,  184,  2524,
-  4646,  2645,  2754,  2755,  196,  2525,  4647,  2646,
-  4656,  4701,  2756,  2853,  2854,  2855,  208,  2505,
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-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
-  2855,  208,  2526,  4648,  2647,  4657,  4702,  2757,
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-  3019,  3020,  2846,  3018,  3019,  3020,  3021,  2934,
-  232,  232,  232,  232,  232,  76,  172,  239,
-  240,  184,  239,  2006,  240,  241,  241,  196,
-  239,  2006,  240,  2007,  2017,  241,  242,  242,
-  242,  208,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  243,  243,  243,  243,
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-  75,  16,  1614,  2472,  1680,  28,  1624,  3329,
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-  1633,  3338,  3558,  1699,  3383,  6187,  3603,  3778,
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-  3353,  3573,  1714,  3398,  6202,  3618,  3793,  3838,
-  1780,  3434,  6238,  3654,  6358,  6686,  3874,  4013,
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-  4666,  4711,  4747,  2857,  1604,  1604,  1604,  1603,
-  1604,  3018,  3019,  3020,  3021,  1604,  232,  239,
-  2006,  240,  2007,  2017,  241,  2008,  2018,  2027,
-  242,  2009,  2019,  2028,  2036,  243,  2010,  2020,
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-  2534,  2655,  185,  2484,  2765,  2605,  197,  197,
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-  2953,  2954,  2836,  221,  221,  221,  221,  65,
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-  251,  2072,  252,  253,  253,  197,  251,  2072,
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-  251,  2072,  252,  2073,  2083,  253,  2074,  2084,
-  2093,  254,  255,  255,  255,  255,  221,  251,
-  2072,  252,  2073,  2083,  253,  2074,  2084,  2093,
-  254,  2075,  2085,  2094,  2102,  255,  256,  256,
-  256,  256,  256,  233,  251,  2072,  252,  2073,
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-  2094,  2102,  255,  2076,  2086,  2095,  2103,  1604,
-  256,  257,  257,  257,  257,  257,  257,  245,
-  95,  95,  96,  95,  96,  97,  95,  96,
-  97,  98,  95,  96,  97,  98,  99,  95,
-  96,  97,  98,  99,  100,  95,  96,  97,
-  98,  99,  100,  101,  11,  167,  179,  23,
-  12,  174,  2468,  186,  24,  168,  2479,  2600,
-  180,  191,  198,  192,  35,  36,  13,  174,
-  2469,  186,  25,  174,  2545,  2666,  186,  2480,
-  2776,  2601,  198,  198,  37,  169,  2490,  2611,
-  181,  2491,  2875,  2612,  2721,  2722,  193,  203,
-  210,  204,  210,  210,  205,  47,  48,  49,
-  14,  174,  2470,  186,  26,  174,  2545,  2666,
-  186,  2481,  2776,  2602,  198,  198,  38,  174,
-  2545,  2666,  186,  2546,  1600,  2667,  2776,  2777,
-  198,  2492,  2875,  2613,  2875,  2876,  2723,  210,
-  210,  210,  50,  170,  2501,  2622,  182,  2502,
-  2963,  2623,  2732,  2733,  194,  2503,  2963,  2624,
-  2963,  2964,  2734,  2831,  2832,  2833,  206,  215,
-  222,  216,  222,  222,  217,  222,  222,  222,
-  218,  59,  60,  61,  62,  15,  174,  2471,
-  186,  27,  174,  2545,  2666,  186,  2482,  2776,
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-  61,  62,  15,  1613,  2471,  1679,  27,  1623,
-  3328,  3548,  1689,  2482,  3768,  2603,  1745,  1755,
-  39,  1632,  3337,  3557,  1698,  3382,  6186,  3602,
-  3777,  3822,  1764,  2493,  3988,  2614,  3997,  4042,
-  2724,  1811,  1821,  1830,  51,  1640,  3345,  3565,
-  1706,  3390,  6194,  3610,  3785,  3830,  1772,  3426,
-  6230,  3646,  6350,  1601,  3866,  4005,  4050,  4086,
-  1838,  2504,  4208,  2625,  4217,  4262,  2735,  4225,
-  4270,  4306,  2834,  1877,  1887,  1896,  1904,  63,
-  171,  2512,  2633,  183,  2513,  4426,  2634,  2743,
-  2744,  195,  2514,  4427,  2635,  4436,  4481,  2745,
-  2842,  2843,  2844,  207,  2515,  4428,  2636,  4437,
-  4482,  2746,  4445,  4490,  4526,  2845,  2930,  2931,
-  2932,  2933,  219,  227,  1940,  228,  1941,  1951,
-  229,  1942,  1952,  1961,  230,  1943,  1953,  1962,
-  1970,  231,  71,  72,  73,  74,  75,  16,
-  1614,  2472,  1680,  28,  1624,  3329,  3549,  1690,
-  2483,  3769,  2604,  1746,  1756,  40,  1633,  3338,
-  3558,  1699,  3383,  6187,  3603,  3778,  3823,  1765,
-  2494,  3989,  2615,  3998,  4043,  2725,  1812,  1822,
-  1831,  52,  1641,  3346,  3566,  1707,  3391,  6195,
-  3611,  3786,  3831,  1773,  3427,  6231,  3647,  6351,
-  6679,  3867,  4006,  4051,  4087,  1839,  2505,  4209,
-  2626,  4218,  4263,  2736,  4226,  4271,  4307,  2835,
-  1878,  1888,  1897,  1905,  64,  1648,  3353,  3573,
-  1714,  3398,  6202,  3618,  3793,  3838,  1780,  3434,
-  6238,  3654,  6358,  6686,  3874,  4013,  4058,  4094,
-  1846,  3462,  6266,  3682,  6386,  6714,  3902,  1603,
-  1603,  1602,  1603,  4233,  4278,  4314,  1603,  1912,
-  2516,  4429,  2637,  4438,  4483,  2747,  4446,  4491,
-  4527,  2846,  4453,  4498,  4534,  1603,  2934,  1944,
-  1954,  1963,  1971,  1978,  76,  172,  2523,  2644,
-  184,  2524,  4646,  2645,  2754,  2755,  196,  2525,
-  4647,  2646,  4656,  4701,  2756,  2853,  2854,  2855,
-  208,  2526,  4648,  2647,  4657,  4702,  2757,  4665,
-  4710,  4746,  2856,  2941,  2942,  2943,  2944,  220,
-  2527,  4649,  2648,  4658,  4703,  2758,  4666,  4711,
-  4747,  2857,  4673,  4718,  4754,  1603,  2945,  3018,
-  3019,  3020,  3021,  3022,  232,  239,  2006,  240,
-  2007,  2017,  241,  2008,  2018,  2027,  242,  2009,
-  2019,  2028,  2036,  243,  2010,  2020,  2029,  2037,
-  2044,  244,  83,  84,  85,  86,  87,  88,
-  17,  173,  2473,  185,  29,  173,  2534,  2655,
-  185,  2484,  2765,  2605,  197,  197,  41,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2495,  2864,  2616,  2864,  2865,  2726,  209,
-  209,  209,  53,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2536,  4867,  2657,
-  4876,  4921,  2767,  2864,  2865,  2866,  209,  2506,
-  2952,  2627,  2952,  2953,  2737,  2952,  2953,  2954,
-  2836,  221,  221,  221,  221,  65,  173,  2534,
-  2655,  185,  2535,  4866,  2656,  2765,  2766,  197,
-  2536,  4867,  2657,  4876,  4921,  2767,  2864,  2865,
-  2866,  209,  2537,  4868,  2658,  4877,  4922,  2768,
-  4885,  4930,  4966,  2867,  2952,  2953,  2954,  2955,
-  221,  2517,  3029,  2638,  3029,  3030,  2748,  3029,
-  3030,  3031,  2847,  3029,  3030,  3031,  3032,  2935,
-  233,  233,  233,  233,  233,  77,  173,  2534,
-  2655,  185,  2535,  4866,  2656,  2765,  2766,  197,
-  2536,  4867,  2657,  4876,  4921,  2767,  2864,  2865,
-  2866,  209,  2537,  4868,  2658,  4877,  4922,  2768,
-  4885,  4930,  4966,  2867,  2952,  2953,  2954,  2955,
-  221,  2538,  4869,  2659,  4878,  4923,  2769,  4886,
-  4931,  4967,  2868,  4893,  4938,  4974,  1603,  2956,
-  3029,  3030,  3031,  3032,  3033,  233,  2528,  3095,
-  2649,  3095,  3096,  2759,  3095,  3096,  3097,  2858,
-  3095,  3096,  3097,  3098,  2946,  3095,  3096,  3097,
-  3098,  3099,  3023,  245,  245,  245,  245,  245,
-  245,  89,  173,  251,  252,  185,  251,  2072,
-  252,  253,  253,  197,  251,  2072,  252,  2073,
-  2083,  253,  254,  254,  254,  209,  251,  2072,
-  252,  2073,  2083,  253,  2074,  2084,  2093,  254,
-  255,  255,  255,  255,  221,  251,  2072,  252,
-  2073,  2083,  253,  2074,  2084,  2093,  254,  2075,
-  2085,  2094,  2102,  255,  256,  256,  256,  256,
-  256,  233,  251,  2072,  252,  2073,  2083,  253,
-  2074,  2084,  2093,  254,  2075,  2085,  2094,  2102,
-  255,  2076,  2086,  2095,  2103,  2110,  256,  257,
-  257,  257,  257,  257,  257,  245,  95,  95,
-  96,  95,  96,  97,  95,  96,  97,  98,
-  95,  96,  97,  98,  99,  95,  96,  97,
-  98,  99,  100,  95,  96,  97,  98,  99,
-  100,  101,  11,  167,  179,  23,  12,  1610,
-  2468,  1676,  24,  168,  2479,  2600,  180,  191,
-  1742,  192,  35,  36,  13,  1611,  2469,  1677,
-  25,  1621,  3326,  3546,  1687,  2480,  3766,  2601,
-  1743,  1753,  37,  169,  2490,  2611,  181,  2491,
-  3986,  2612,  2721,  2722,  193,  203,  1808,  204,
-  1809,  1819,  205,  47,  48,  49,  14,  1612,
-  2470,  1678,  26,  1622,  3327,  3547,  1688,  2481,
-  3767,  2602,  1744,  1754,  38,  1631,  3336,  3556,
-  1697,  3381,  1600,  3601,  3776,  3821,  1763,  2492,
-  3987,  2613,  3996,  4041,  2723,  1810,  1820,  1829,
-  50,  170,  2501,  2622,  182,  2502,  4206,  2623,
-  2732,  2733,  194,  2503,  4207,  2624,  4216,  4261,
-  2734,  2831,  2832,  2833,  206,  215,  1874,  216,
-  1875,  1885,  217,  1876,  1886,  1895,  218,  59,
-  60,  61,  62,  15,  1613,  2471,  1679,  27,
-  1623,  3328,  3548,  1689,  2482,  3768,  2603,  1745,
-  1755,  39,  1632,  3337,  3557,  1698,  3382,  6186,
-  3602,  3777,  3822,  1764,  2493,  3988,  2614,  3997,
-  4042,  2724,  1811,  1821,  1830,  51,  1640,  3345,
-  3565,  1706,  3390,  6194,  3610,  3785,  3830,  1772,
-  3426,  6230,  3646,  6350,  1601,  3866,  4005,  4050,
-  4086,  1838,  2504,  4208,  2625,  4217,  4262,  2735,
-  4225,  4270,  4306,  2834,  1877,  1887,  1896,  1904,
-  63,  171,  2512,  2633,  183,  2513,  4426,  2634,
-  2743,  2744,  195,  2514,  4427,  2635,  4436,  4481,
-  2745,  2842,  2843,  2844,  207,  2515,  4428,  2636,
-  4437,  4482,  2746,  4445,  4490,  4526,  2845,  2930,
-  2931,  2932,  2933,  219,  227,  1940,  228,  1941,
-  1951,  229,  1942,  1952,  1961,  230,  1943,  1953,
-  1962,  1970,  231,  71,  72,  73,  74,  75,
-  16,  1614,  2472,  1680,  28,  1624,  3329,  3549,
-  1690,  2483,  3769,  2604,  1746,  1756,  40,  1633,
-  3338,  3558,  1699,  3383,  6187,  3603,  3778,  3823,
-  1765,  2494,  3989,  2615,  3998,  4043,  2725,  1812,
-  1822,  1831,  52,  1641,  3346,  3566,  1707,  3391,
-  6195,  3611,  3786,  3831,  1773,  3427,  6231,  3647,
-  6351,  6679,  3867,  4006,  4051,  4087,  1839,  2505,
-  4209,  2626,  4218,  4263,  2736,  4226,  4271,  4307,
-  2835,  1878,  1888,  1897,  1905,  64,  1648,  3353,
-  3573,  1714,  3398,  6202,  3618,  3793,  3838,  1780,
-  3434,  6238,  3654,  6358,  6686,  3874,  4013,  4058,
-  4094,  1846,  3462,  6266,  3682,  6386,  6714,  3902,
-  6470,  6798,  1602,  4122,  4233,  4278,  4314,  4342,
-  1912,  2516,  4429,  2637,  4438,  4483,  2747,  4446,
-  4491,  4527,  2846,  4453,  4498,  4534,  4562,  2934,
-  1944,  1954,  1963,  1971,  1978,  76,  172,  2523,
-  2644,  184,  2524,  4646,  2645,  2754,  2755,  196,
-  2525,  4647,  2646,  4656,  4701,  2756,  2853,  2854,
-  2855,  208,  2526,  4648,  2647,  4657,  4702,  2757,
-  4665,  4710,  4746,  2856,  2941,  2942,  2943,  2944,
-  220,  2527,  4649,  2648,  4658,  4703,  2758,  4666,
-  4711,  4747,  2857,  4673,  4718,  4754,  4782,  2945,
-  3018,  3019,  3020,  3021,  3022,  232,  239,  2006,
-  240,  2007,  2017,  241,  2008,  2018,  2027,  242,
-  2009,  2019,  2028,  2036,  243,  2010,  2020,  2029,
-  2037,  2044,  244,  83,  84,  85,  86,  87,
-  88,  17,  1615,  2473,  1681,  29,  1625,  3330,
-  3550,  1691,  2484,  3770,  2605,  1747,  1757,  41,
-  1634,  3339,  3559,  1700,  3384,  6188,  3604,  3779,
-  3824,  1766,  2495,  3990,  2616,  3999,  4044,  2726,
-  1813,  1823,  1832,  53,  1642,  3347,  3567,  1708,
-  3392,  6196,  3612,  3787,  3832,  1774,  3428,  6232,
-  3648,  6352,  6680,  3868,  4007,  4052,  4088,  1840,
-  2506,  4210,  2627,  4219,  4264,  2737,  4227,  4272,
-  4308,  2836,  1879,  1889,  1898,  1906,  65,  1649,
-  3354,  3574,  1715,  3399,  6203,  3619,  3794,  3839,
-  1781,  3435,  6239,  3655,  6359,  6687,  3875,  4014,
-  4059,  4095,  1847,  3463,  6267,  3683,  6387,  6715,
-  3903,  6471,  6799,  7008,  4123,  4234,  4279,  4315,
-  4343,  1913,  2517,  4430,  2638,  4439,  4484,  2748,
-  4447,  4492,  4528,  2847,  4454,  4499,  4535,  4563,
-  2935,  1945,  1955,  1964,  1972,  1979,  77,  1655,
-  3360,  3580,  1721,  3405,  6209,  3625,  3800,  3845,
-  1787,  3441,  6245,  3661,  6365,  6693,  3881,  4020,
-  4065,  4101,  1853,  3469,  6273,  3689,  6393,  6721,
-  3909,  6477,  6805,  7014,  4129,  4240,  4285,  4321,
-  4349,  1919,  1605,  1605,  1605,  1605,  1605,  1605,
-  1605,  1605,  1605,  1605,  1604,  1604,  1604,  1603,
-  1604,  1605,  1605,  1605,  1605,  1604,  1605,  2528,
-  4650,  2649,  4659,  4704,  2759,  4667,  4712,  4748,
-  2858,  4674,  4719,  4755,  4783,  2946,  1605,  1605,
-  1605,  1605,  1604,  1605,  2011,  2021,  2030,  2038,
-  2045,  1605,  89,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2536,  4867,  2657,
-  4876,  4921,  2767,  2864,  2865,  2866,  209,  2537,
-  4868,  2658,  4877,  4922,  2768,  4885,  4930,  4966,
-  2867,  2952,  2953,  2954,  2955,  221,  2538,  4869,
-  2659,  4878,  4923,  2769,  4886,  4931,  4967,  2868,
-  4893,  4938,  4974,  5002,  2956,  3029,  3030,  3031,
-  3032,  3033,  233,  2539,  4870,  2660,  4879,  4924,
-  2770,  4887,  4932,  4968,  2869,  4894,  4939,  4975,
-  5003,  2957,  1605,  1605,  1605,  1605,  1604,  1605,
-  3095,  3096,  3097,  3098,  3099,  1605,  245,  251,
-  2072,  252,  2073,  2083,  253,  2074,  2084,  2093,
-  254,  2075,  2085,  2094,  2102,  255,  2076,  2086,
-  2095,  2103,  2110,  256,  2077,  2087,  2096,  2104,
-  2111,  1605,  257,  95,  96,  97,  98,  99,
-  100,  101,  18,  174,  2474,  186,  30,  174,
-  2545,  2666,  186,  2485,  2776,  2606,  198,  198,
-  42,  174,  2545,  2666,  186,  2546,  5086,  2667,
-  2776,  2777,  198,  2496,  2875,  2617,  2875,  2876,
-  2727,  210,  210,  210,  54,  174,  2545,  2666,
-  186,  2546,  5086,  2667,  2776,  2777,  198,  2547,
-  5087,  2668,  5096,  5141,  2778,  2875,  2876,  2877,
-  210,  2507,  2963,  2628,  2963,  2964,  2738,  2963,
-  2964,  2965,  2837,  222,  222,  222,  222,  66,
-  174,  2545,  2666,  186,  2546,  5086,  2667,  2776,
-  2777,  198,  2547,  5087,  2668,  5096,  5141,  2778,
-  2875,  2876,  2877,  210,  2548,  5088,  2669,  5097,
-  5142,  2779,  5105,  5150,  5186,  2878,  2963,  2964,
-  2965,  2966,  222,  2518,  3040,  2639,  3040,  3041,
-  2749,  3040,  3041,  3042,  2848,  3040,  3041,  3042,
-  3043,  2936,  234,  234,  234,  234,  234,  78,
-  174,  2545,  2666,  186,  2546,  5086,  2667,  2776,
-  2777,  198,  2547,  5087,  2668,  5096,  5141,  2778,
-  2875,  2876,  2877,  210,  2548,  5088,  2669,  5097,
-  5142,  2779,  5105,  5150,  5186,  2878,  2963,  2964,
-  2965,  2966,  222,  2549,  5089,  2670,  5098,  5143,
-  2780,  5106,  5151,  5187,  2879,  5113,  5158,  5194,
-  5222,  2967,  3040,  3041,  3042,  3043,  3044,  234,
-  2529,  3106,  2650,  3106,  3107,  2760,  3106,  3107,
-  3108,  2859,  3106,  3107,  3108,  3109,  2947,  3106,
-  3107,  3108,  3109,  3110,  3024,  246,  246,  246,
-  246,  246,  246,  90,  174,  2545,  2666,  186,
-  2546,  5086,  2667,  2776,  2777,  198,  2547,  5087,
-  2668,  5096,  5141,  2778,  2875,  2876,  2877,  210,
-  2548,  5088,  2669,  5097,  5142,  2779,  5105,  5150,
-  5186,  2878,  2963,  2964,  2965,  2966,  222,  2549,
-  5089,  2670,  5098,  5143,  2780,  5106,  5151,  5187,
-  2879,  5113,  5158,  5194,  5222,  2967,  3040,  3041,
-  3042,  3043,  3044,  234,  2550,  5090,  2671,  5099,
-  5144,  2781,  5107,  5152,  5188,  2880,  5114,  5159,
-  5195,  5223,  2968,  1605,  1605,  1605,  1605,  1604,
-  1605,  3106,  3107,  3108,  3109,  3110,  1605,  246,
-  2540,  3161,  2661,  3161,  3162,  2771,  3161,  3162,
-  3163,  2870,  3161,  3162,  3163,  3164,  2958,  3161,
-  3162,  3163,  3164,  3165,  3035,  3161,  3162,  3163,
-  3164,  3165,  1605,  3101,  258,  258,  258,  258,
-  258,  258,  258,  102,  174,  263,  264,  186,
-  263,  2138,  264,  265,  265,  198,  263,  2138,
-  264,  2139,  2149,  265,  266,  266,  266,  210,
-  263,  2138,  264,  2139,  2149,  265,  2140,  2150,
-  2159,  266,  267,  267,  267,  267,  222,  263,
-  2138,  264,  2139,  2149,  265,  2140,  2150,  2159,
-  266,  2141,  2151,  2160,  2168,  267,  268,  268,
-  268,  268,  268,  234,  263,  2138,  264,  2139,
-  2149,  265,  2140,  2150,  2159,  266,  2141,  2151,
-  2160,  2168,  267,  2142,  2152,  2161,  2169,  2176,
-  268,  269,  269,  269,  269,  269,  269,  246,
-  263,  2138,  264,  2139,  2149,  265,  2140,  2150,
-  2159,  266,  2141,  2151,  2160,  2168,  267,  2142,
-  2152,  2161,  2169,  2176,  268,  2143,  2153,  2162,
-  2170,  2177,  1605,  269,  270,  270,  270,  270,
-  270,  270,  270,  258,  107,  107,  108,  107,
-  108,  109,  107,  108,  109,  110,  107,  108,
-  109,  110,  111,  107,  108,  109,  110,  111,
-  112,  107,  108,  109,  110,  111,  112,  113,
-  107,  108,  109,  110,  111,  112,  113,  114,
-  11,  167,  179,  23,  12,  175,  2468,  187,
-  24,  168,  2479,  2600,  180,  191,  199,  192,
-  35,  36,  13,  175,  2469,  187,  25,  175,
-  2556,  2677,  187,  2480,  2787,  2601,  199,  199,
-  37,  169,  2490,  2611,  181,  2491,  2886,  2612,
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-  1677,  25,  1621,  3326,  3546,  1687,  2480,  3766,
-  2601,  1743,  1753,  37,  169,  2490,  2611,  181,
-  2491,  3986,  2612,  2721,  2722,  193,  203,  1808,
-  204,  1809,  1819,  205,  47,  48,  49,  14,
-  1612,  2470,  1678,  26,  1622,  3327,  3547,  1688,
-  2481,  3767,  2602,  1744,  1754,  38,  1631,  3336,
-  3556,  1697,  3381,  1600,  1601,  3776,  1601,  1763,
-  2492,  3987,  2613,  3996,  1601,  2723,  1810,  1820,
-  1829,  50,  170,  2501,  2622,  182,  2502,  4206,
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-  216,  1875,  1885,  217,  1876,  1886,  1895,  218,
-  59,  60,  61,  62,  15,  171,  2471,  183,
-  27,  171,  2512,  2633,  183,  2482,  2743,  2603,
-  195,  195,  39,  171,  2512,  2633,  183,  2513,
-  4426,  2634,  2743,  2744,  195,  2493,  2842,  2614,
-  2842,  2843,  2724,  207,  207,  207,  51,  171,
-  2512,  2633,  183,  2513,  4426,  2634,  2743,  2744,
-  195,  2514,  4427,  2635,  4436,  1601,  2745,  2842,
-  2843,  2844,  207,  2504,  2930,  2625,  2930,  2931,
-  2735,  2930,  2931,  2932,  2834,  219,  219,  219,
-  219,  63,  171,  227,  228,  183,  227,  1940,
-  228,  229,  229,  195,  227,  1940,  228,  1941,
-  1951,  229,  230,  230,  230,  207,  227,  1940,
-  228,  1941,  1951,  229,  1942,  1952,  1961,  230,
-  231,  231,  231,  231,  219,  71,  71,  72,
-  71,  72,  73,  71,  72,  73,  74,  71,
-  72,  73,  74,  75,  11,  167,  179,  23,
-  12,  1610,  2468,  1676,  24,  168,  2479,  2600,
-  180,  191,  1742,  192,  35,  36,  13,  1611,
-  2469,  1677,  25,  1621,  3326,  3546,  1687,  2480,
-  3766,  2601,  1743,  1753,  37,  169,  2490,  2611,
-  181,  2491,  3986,  2612,  2721,  2722,  193,  203,
-  1808,  204,  1809,  1819,  205,  47,  48,  49,
-  14,  1612,  2470,  1678,  26,  1622,  3327,  3547,
-  1688,  2481,  3767,  2602,  1744,  1754,  38,  1631,
-  3336,  3556,  1697,  3381,  1600,  3601,  3776,  3821,
-  1763,  2492,  3987,  2613,  3996,  4041,  2723,  1810,
-  1820,  1829,  50,  170,  2501,  2622,  182,  2502,
-  4206,  2623,  2732,  2733,  194,  2503,  4207,  2624,
-  4216,  4261,  2734,  2831,  2832,  2833,  206,  215,
-  1874,  216,  1875,  1885,  217,  1876,  1886,  1895,
-  218,  59,  60,  61,  62,  15,  1613,  2471,
-  1679,  27,  1623,  3328,  3548,  1689,  2482,  3768,
-  2603,  1745,  1755,  39,  1632,  3337,  3557,  1698,
-  3382,  6186,  3602,  3777,  3822,  1764,  2493,  3988,
-  2614,  3997,  4042,  2724,  1811,  1821,  1830,  51,
-  1640,  3345,  3565,  1706,  3390,  6194,  3610,  3785,
-  3830,  1772,  3426,  6230,  3646,  1602,  1601,  1602,
-  4005,  4050,  1602,  1838,  2504,  4208,  2625,  4217,
-  4262,  2735,  4225,  4270,  1602,  2834,  1877,  1887,
-  1896,  1904,  63,  171,  2512,  2633,  183,  2513,
-  4426,  2634,  2743,  2744,  195,  2514,  4427,  2635,
-  4436,  4481,  2745,  2842,  2843,  2844,  207,  2515,
-  4428,  2636,  4437,  4482,  2746,  4445,  4490,  1602,
-  2845,  2930,  2931,  2932,  2933,  219,  227,  1940,
-  228,  1941,  1951,  229,  1942,  1952,  1961,  230,
-  1943,  1953,  1962,  1970,  231,  71,  72,  73,
-  74,  75,  16,  172,  2472,  184,  28,  172,
-  2523,  2644,  184,  2483,  2754,  2604,  196,  196,
-  40,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2494,  2853,  2615,  2853,  2854,
-  2725,  208,  208,  208,  52,  172,  2523,  2644,
-  184,  2524,  4646,  2645,  2754,  2755,  196,  2525,
-  4647,  2646,  4656,  4701,  2756,  2853,  2854,  2855,
-  208,  2505,  2941,  2626,  2941,  2942,  2736,  2941,
-  2942,  2943,  2835,  220,  220,  220,  220,  64,
-  172,  2523,  2644,  184,  2524,  4646,  2645,  2754,
-  2755,  196,  2525,  4647,  2646,  4656,  4701,  2756,
-  2853,  2854,  2855,  208,  2526,  4648,  2647,  4657,
-  4702,  2757,  4665,  4710,  1602,  2856,  2941,  2942,
-  2943,  2944,  220,  2516,  3018,  2637,  3018,  3019,
-  2747,  3018,  3019,  3020,  2846,  3018,  3019,  3020,
-  3021,  2934,  232,  232,  232,  232,  232,  76,
-  172,  239,  240,  184,  239,  2006,  240,  241,
-  241,  196,  239,  2006,  240,  2007,  2017,  241,
-  242,  242,  242,  208,  239,  2006,  240,  2007,
-  2017,  241,  2008,  2018,  2027,  242,  243,  243,
-  243,  243,  220,  239,  2006,  240,  2007,  2017,
-  241,  2008,  2018,  2027,  242,  2009,  2019,  2028,
-  2036,  243,  244,  244,  244,  244,  244,  232,
-  83,  83,  84,  83,  84,  85,  83,  84,
-  85,  86,  83,  84,  85,  86,  87,  83,
-  84,  85,  86,  87,  88,  11,  167,  179,
-  23,  12,  1610,  2468,  1676,  24,  168,  2479,
-  2600,  180,  191,  1742,  192,  35,  36,  13,
-  1611,  2469,  1677,  25,  1621,  3326,  3546,  1687,
-  2480,  3766,  2601,  1743,  1753,  37,  169,  2490,
-  2611,  181,  2491,  3986,  2612,  2721,  2722,  193,
-  203,  1808,  204,  1809,  1819,  205,  47,  48,
-  49,  14,  1612,  2470,  1678,  26,  1622,  3327,
-  3547,  1688,  2481,  3767,  2602,  1744,  1754,  38,
-  1631,  3336,  3556,  1697,  3381,  1600,  3601,  3776,
-  3821,  1763,  2492,  3987,  2613,  3996,  4041,  2723,
-  1810,  1820,  1829,  50,  170,  2501,  2622,  182,
-  2502,  4206,  2623,  2732,  2733,  194,  2503,  4207,
-  2624,  4216,  4261,  2734,  2831,  2832,  2833,  206,
-  215,  1874,  216,  1875,  1885,  217,  1876,  1886,
-  1895,  218,  59,  60,  61,  62,  15,  1613,
-  2471,  1679,  27,  1623,  3328,  3548,  1689,  2482,
-  3768,  2603,  1745,  1755,  39,  1632,  3337,  3557,
-  1698,  3382,  6186,  3602,  3777,  3822,  1764,  2493,
-  3988,  2614,  3997,  4042,  2724,  1811,  1821,  1830,
-  51,  1640,  3345,  3565,  1706,  3390,  6194,  3610,
-  3785,  3830,  1772,  3426,  6230,  3646,  6350,  1601,
-  3866,  4005,  4050,  4086,  1838,  2504,  4208,  2625,
-  4217,  4262,  2735,  4225,  4270,  4306,  2834,  1877,
-  1887,  1896,  1904,  63,  171,  2512,  2633,  183,
-  2513,  4426,  2634,  2743,  2744,  195,  2514,  4427,
-  2635,  4436,  4481,  2745,  2842,  2843,  2844,  207,
-  2515,  4428,  2636,  4437,  4482,  2746,  4445,  4490,
-  4526,  2845,  2930,  2931,  2932,  2933,  219,  227,
-  1940,  228,  1941,  1951,  229,  1942,  1952,  1961,
-  230,  1943,  1953,  1962,  1970,  231,  71,  72,
-  73,  74,  75,  16,  1614,  2472,  1680,  28,
-  1624,  3329,  3549,  1690,  2483,  3769,  2604,  1746,
-  1756,  40,  1633,  3338,  3558,  1699,  3383,  6187,
-  3603,  3778,  3823,  1765,  2494,  3989,  2615,  3998,
-  4043,  2725,  1812,  1822,  1831,  52,  1641,  3346,
-  3566,  1707,  3391,  6195,  3611,  3786,  3831,  1773,
-  3427,  6231,  3647,  6351,  6679,  3867,  4006,  4051,
-  4087,  1839,  2505,  4209,  2626,  4218,  4263,  2736,
-  4226,  4271,  4307,  2835,  1878,  1888,  1897,  1905,
-  64,  1648,  3353,  3573,  1714,  3398,  6202,  3618,
-  3793,  3838,  1780,  3434,  6238,  3654,  6358,  6686,
-  3874,  4013,  4058,  4094,  1846,  3462,  6266,  3682,
-  6386,  6714,  3902,  1603,  1603,  1602,  1603,  4233,
-  4278,  4314,  1603,  1912,  2516,  4429,  2637,  4438,
-  4483,  2747,  4446,  4491,  4527,  2846,  4453,  4498,
-  4534,  1603,  2934,  1944,  1954,  1963,  1971,  1978,
-  76,  172,  2523,  2644,  184,  2524,  4646,  2645,
-  2754,  2755,  196,  2525,  4647,  2646,  4656,  4701,
-  2756,  2853,  2854,  2855,  208,  2526,  4648,  2647,
-  4657,  4702,  2757,  4665,  4710,  4746,  2856,  2941,
-  2942,  2943,  2944,  220,  2527,  4649,  2648,  4658,
-  4703,  2758,  4666,  4711,  4747,  2857,  4673,  4718,
-  4754,  1603,  2945,  3018,  3019,  3020,  3021,  3022,
-  232,  239,  2006,  240,  2007,  2017,  241,  2008,
-  2018,  2027,  242,  2009,  2019,  2028,  2036,  243,
-  2010,  2020,  2029,  2037,  2044,  244,  83,  84,
-  85,  86,  87,  88,  17,  173,  2473,  185,
-  29,  173,  2534,  2655,  185,  2484,  2765,  2605,
-  197,  197,  41,  173,  2534,  2655,  185,  2535,
-  4866,  2656,  2765,  2766,  197,  2495,  2864,  2616,
-  2864,  2865,  2726,  209,  209,  209,  53,  173,
-  2534,  2655,  185,  2535,  4866,  2656,  2765,  2766,
-  197,  2536,  4867,  2657,  4876,  4921,  2767,  2864,
-  2865,  2866,  209,  2506,  2952,  2627,  2952,  2953,
-  2737,  2952,  2953,  2954,  2836,  221,  221,  221,
-  221,  65,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2537,  4868,
-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2517,  3029,  2638,
-  3029,  3030,  2748,  3029,  3030,  3031,  2847,  3029,
-  3030,  3031,  3032,  2935,  233,  233,  233,  233,
-  233,  77,  173,  2534,  2655,  185,  2535,  4866,
-  2656,  2765,  2766,  197,  2536,  4867,  2657,  4876,
-  4921,  2767,  2864,  2865,  2866,  209,  2537,  4868,
-  2658,  4877,  4922,  2768,  4885,  4930,  4966,  2867,
-  2952,  2953,  2954,  2955,  221,  2538,  4869,  2659,
-  4878,  4923,  2769,  4886,  4931,  4967,  2868,  4893,
-  4938,  4974,  1603,  2956,  3029,  3030,  3031,  3032,
-  3033,  233,  2528,  3095,  2649,  3095,  3096,  2759,
-  3095,  3096,  3097,  2858,  3095,  3096,  3097,  3098,
-  2946,  3095,  3096,  3097,  3098,  3099,  3023,  245,
-  245,  245,  245,  245,  245,  89,  173,  251,
-  252,  185,  251,  2072,  252,  253,  253,  197,
-  251,  2072,  252,  2073,  2083,  253,  254,  254,
-  254,  209,  251,  2072,  252,  2073,  2083,  253,
-  2074,  2084,  2093,  254,  255,  255,  255,  255,
-  221,  251,  2072,  252,  2073,  2083,  253,  2074,
-  2084,  2093,  254,  2075,  2085,  2094,  2102,  255,
-  256,  256,  256,  256,  256,  233,  251,  2072,
-  252,  2073,  2083,  253,  2074,  2084,  2093,  254,
-  2075,  2085,  2094,  2102,  255,  2076,  2086,  2095,
-  2103,  2110,  256,  257,  257,  257,  257,  257,
-  257,  245,  95,  95,  96,  95,  96,  97,
-  95,  96,  97,  98,  95,  96,  97,  98,
-  99,  95,  96,  97,  98,  99,  100,  95,
-  96,  97,  98,  99,  100,  101,  11,  167,
-  179,  23,  12,  1610,  2468,  1676,  24,  168,
-  2479,  2600,  180,  191,  1742,  192,  35,  36,
-  13,  1611,  2469,  1677,  25,  1621,  3326,  3546,
-  1687,  2480,  3766,  2601,  1743,  1753,  37,  169,
-  2490,  2611,  181,  2491,  3986,  2612,  2721,  2722,
-  193,  203,  1808,  204,  1809,  1819,  205,  47,
-  48,  49,  14,  1612,  2470,  1678,  26,  1622,
-  3327,  3547,  1688,  2481,  3767,  2602,  1744,  1754,
-  38,  1631,  3336,  3556,  1697,  3381,  1600,  3601,
-  3776,  3821,  1763,  2492,  3987,  2613,  3996,  4041,
-  2723,  1810,  1820,  1829,  50,  170,  2501,  2622,
-  182,  2502,  4206,  2623,  2732,  2733,  194,  2503,
-  4207,  2624,  4216,  4261,  2734,  2831,  2832,  2833,
-  206,  215,  1874,  216,  1875,  1885,  217,  1876,
-  1886,  1895,  218,  59,  60,  61,  62,  15,
-  1613,  2471,  1679,  27,  1623,  3328,  3548,  1689,
-  2482,  3768,  2603,  1745,  1755,  39,  1632,  3337,
-  3557,  1698,  3382,  6186,  3602,  3777,  3822,  1764,
-  2493,  3988,  2614,  3997,  4042,  2724,  1811,  1821,
-  1830,  51,  1640,  3345,  3565,  1706,  3390,  6194,
-  3610,  3785,  3830,  1772,  3426,  6230,  3646,  6350,
-  1601,  3866,  4005,  4050,  4086,  1838,  2504,  4208,
-  2625,  4217,  4262,  2735,  4225,  4270,  4306,  2834,
-  1877,  1887,  1896,  1904,  63,  171,  2512,  2633,
-  183,  2513,  4426,  2634,  2743,  2744,  195,  2514,
-  4427,  2635,  4436,  4481,  2745,  2842,  2843,  2844,
-  207,  2515,  4428,  2636,  4437,  4482,  2746,  4445,
-  4490,  4526,  2845,  2930,  2931,  2932,  2933,  219,
-  227,  1940,  228,  1941,  1951,  229,  1942,  1952,
-  1961,  230,  1943,  1953,  1962,  1970,  231,  71,
-  72,  73,  74,  75,  16,  1614,  2472,  1680,
-  28,  1624,  3329,  3549,  1690,  2483,  3769,  2604,
-  1746,  1756,  40,  1633,  3338,  3558,  1699,  3383,
-  6187,  3603,  3778,  3823,  1765,  2494,  3989,  2615,
-  3998,  4043,  2725,  1812,  1822,  1831,  52,  1641,
-  3346,  3566,  1707,  3391,  6195,  3611,  3786,  3831,
-  1773,  3427,  6231,  3647,  6351,  6679,  3867,  4006,
-  4051,  4087,  1839,  2505,  4209,  2626,  4218,  4263,
-  2736,  4226,  4271,  4307,  2835,  1878,  1888,  1897,
-  1905,  64,  1648,  3353,  3573,  1714,  3398,  6202,
-  3618,  3793,  3838,  1780,  3434,  6238,  3654,  6358,
-  6686,  3874,  4013,  4058,  4094,  1846,  3462,  6266,
-  3682,  6386,  6714,  3902,  6470,  6798,  1602,  4122,
-  4233,  4278,  4314,  4342,  1912,  2516,  4429,  2637,
-  4438,  4483,  2747,  4446,  4491,  4527,  2846,  4453,
-  4498,  4534,  4562,  2934,  1944,  1954,  1963,  1971,
-  1978,  76,  172,  2523,  2644,  184,  2524,  4646,
-  2645,  2754,  2755,  196,  2525,  4647,  2646,  4656,
-  4701,  2756,  2853,  2854,  2855,  208,  2526,  4648,
-  2647,  4657,  4702,  2757,  4665,  4710,  4746,  2856,
-  2941,  2942,  2943,  2944,  220,  2527,  4649,  2648,
-  4658,  4703,  2758,  4666,  4711,  4747,  2857,  4673,
-  4718,  4754,  4782,  2945,  3018,  3019,  3020,  3021,
-  3022,  232,  239,  2006,  240,  2007,  2017,  241,
-  2008,  2018,  2027,  242,  2009,  2019,  2028,  2036,
-  243,  2010,  2020,  2029,  2037,  2044,  244,  83,
-  84,  85,  86,  87,  88,  17,  1615,  2473,
-  1681,  29,  1625,  3330,  3550,  1691,  2484,  3770,
-  2605,  1747,  1757,  41,  1634,  3339,  3559,  1700,
-  3384,  6188,  3604,  3779,  3824,  1766,  2495,  3990,
-  2616,  3999,  4044,  2726,  1813,  1823,  1832,  53,
-  1642,  3347,  3567,  1708,  3392,  6196,  3612,  3787,
-  3832,  1774,  3428,  6232,  3648,  6352,  6680,  3868,
-  4007,  4052,  4088,  1840,  2506,  4210,  2627,  4219,
-  4264,  2737,  4227,  4272,  4308,  2836,  1879,  1889,
-  1898,  1906,  65,  1649,  3354,  3574,  1715,  3399,
-  6203,  3619,  3794,  3839,  1781,  3435,  6239,  3655,
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+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,
+    159,  160,  161,  105,  155,  155,  155,  156,  155,  155,  156,  155,
+    156,  157,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,
+    158,  159,  160,  161,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,
+    159,  160,  161,  162,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,
+    159,  160,  161,  162,  155,  156,  157,  158,  159,  160,  161,  162,
+    117,  155,  155,  155,  156,  155,  155,  156,  155,  156,  157,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,  160,
+    161,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  156,  157,  158,  159,  160,  161,  162,  163,  155,  155,
+    156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,
+    159,  155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,
+    160,  161,  155,  156,  157,  158,  159,  160,  161,  162,  155,  156,
+    157,  158,  159,  160,  161,  162,  163,  155,  156,  157,  158,  159,
+    160,  161,  162,  163,  129,  155,  155,  155,  156,  155,  155,  156,
+    155,  156,  157,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  155,  156,  155,  156,  157,  155,  156,
+    157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,
+    160,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  155,  156,  155,  156,  157,  155,
+    156,  157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,
+    159,  160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,
+    158,  159,  160,  161,  162,  155,  155,  156,  155,  156,  157,  155,
+    156,  157,  158,  155,  156,  157,  158,  159,  155,  156,  157,  158,
+    159,  160,  155,  156,  157,  158,  159,  160,  161,  155,  156,  157,
+    158,  159,  160,  161,  162,  155,  156,  157,  158,  159,  160,  161,
+    162,  163,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,
+    156,  157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,
+    161,  162,  155,  156,  157,  158,  159,  160,  161,  162,  163,  155,
+    156,  157,  158,  159,  160,  161,  162,  163,  164,  155,  155,  156,
+    155,  156,  157,  155,  156,  157,  158,  155,  156,  157,  158,  159,
+    155,  156,  157,  158,  159,  160,  155,  156,  157,  158,  159,  160,
+    161,  155,  156,  157,  158,  159,  160,  161,  162,  155,  156,  157,
+    158,  159,  160,  161,  162,  163,  155,  156,  157,  158,  159,  160,
+    161,  162,  163,  164,  155,  156,  157,  158,  159,  160,  161,  162,
+    163,  164,  141,  155,  155,  155,  156,  155,  155,  156,  155,  156,
+    157,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,
+    158,  159,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,
+    155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,
+    155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,  157,
+    158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,  158,
+    159,  160,  161,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,  159,
+    160,  161,  162,  155,  155,  156,  155,  156,  157,  155,  156,  157,
+    158,  155,  156,  157,  158,  159,  155,  156,  157,  158,  159,  160,
+    155,  156,  157,  158,  159,  160,  161,  155,  156,  157,  158,  159,
+    160,  161,  162,  155,  156,  157,  158,  159,  160,  161,  162,  163,
+    155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,  156,
+    157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,  157,
+    158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,  162,
+    155,  156,  157,  158,  159,  160,  161,  162,  163,  155,  156,  157,
+    158,  159,  160,  161,  162,  163,  164,  155,  155,  156,  155,  156,
+    157,  155,  156,  157,  158,  155,  156,  157,  158,  159,  155,  156,
+    157,  158,  159,  160,  155,  156,  157,  158,  159,  160,  161,  155,
+    156,  157,  158,  159,  160,  161,  162,  155,  156,  157,  158,  159,
+    160,  161,  162,  163,  155,  156,  157,  158,  159,  160,  161,  162,
+    163,  164,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,
+    165,  155,  155,  156,  155,  156,  157,  155,  156,  157,  158,  155,
+    156,  157,  158,  159,  155,  156,  157,  158,  159,  160,  155,  156,
+    157,  158,  159,  160,  161,  155,  156,  157,  158,  159,  160,  161,
+    162,  155,  156,  157,  158,  159,  160,  161,  162,  163,  155,  156,
+    157,  158,  159,  160,  161,  162,  163,  164,  155,  156,  157,  158,
+    159,  160,  161,  162,  163,  164,  165,  143,  144,  145,  146,  147,
+    148,  149,  150,  151,  152,  153,
 };
diff --git a/cpp/src/rank.c b/cpp/src/rank.c
index 7b2ab57..8c591e6 100644
--- a/cpp/src/rank.c
+++ b/cpp/src/rank.c
@@ -15,19 +15,12 @@
  */
 
 #include <phevaluator/rank.h>
+
 #include "tables.h"
 
 const char* rank_category_description[] = {
-  "",
-  "Straight Flush",
-  "Four of a Kind",
-  "Full House",
-  "Flush",
-  "Straight",
-  "Three of a Kind",
-  "Two Pair",
-  "One Pair",
-  "High Card",
+    "",         "Straight Flush",  "Four of a Kind", "Full House", "Flush",
+    "Straight", "Three of a Kind", "Two Pair",       "One Pair",   "High Card",
 };
 
 enum rank_category get_rank_category(int rank) {
@@ -36,9 +29,9 @@ enum rank_category get_rank_category(int rank) {
   if (rank > 2467) return TWO_PAIR;         //  858 two pair
   if (rank > 1609) return THREE_OF_A_KIND;  //  858 three-kind
   if (rank > 1599) return STRAIGHT;         //   10 straights
-  if (rank > 322)  return FLUSH;            // 1277 flushes
-  if (rank > 166)  return FULL_HOUSE;       //  156 full house
-  if (rank > 10)   return FOUR_OF_A_KIND;   //  156 four-kind
+  if (rank > 322) return FLUSH;             // 1277 flushes
+  if (rank > 166) return FULL_HOUSE;        //  156 full house
+  if (rank > 10) return FOUR_OF_A_KIND;     //  156 four-kind
   return STRAIGHT_FLUSH;                    //   10 straight-flushes
 }
 
@@ -46,20 +39,16 @@ const char* describe_rank_category(enum rank_category category) {
   return rank_category_description[category];
 }
 
-const char* describe_rank(int rank) {
-  return rank_description[rank][1];
-}
+const char* describe_rank(int rank) { return rank_description[rank][1]; }
 
-const char* describe_sample_hand(int rank) {
-  return rank_description[rank][0];
-}
+const char* describe_sample_hand(int rank) { return rank_description[rank][0]; }
 
 bool is_flush(int rank) {
-  switch(get_rank_category(rank)) {
-  case STRAIGHT_FLUSH:
-  case FLUSH:
-    return true;
-  default:
-    return false;
+  switch (get_rank_category(rank)) {
+    case STRAIGHT_FLUSH:
+    case FLUSH:
+      return true;
+    default:
+      return false;
   }
 }
diff --git a/cpp/src/tables.h b/cpp/src/tables.h
index 4fc54c7..c0026bf 100644
--- a/cpp/src/tables.h
+++ b/cpp/src/tables.h
@@ -39,4 +39,4 @@ extern const short noflush_plo5[6175 * 6175];
 
 extern const short flush_plo6[8192 * 8192];
 extern const short noflush_plo6[6175 * 18395];
-#endif // TABLES_H
+#endif  // TABLES_H
diff --git a/cpp/src/tables_bitwise.c b/cpp/src/tables_bitwise.c
index 2e22765..e34b2cf 100644
--- a/cpp/src/tables_bitwise.c
+++ b/cpp/src/tables_bitwise.c
@@ -18,34 +18,19 @@
 
 // bit_of_div_4[a] = (1 << (a / 4))
 const short bit_of_div_4[52] = {
-  0x1,  0x1,  0x1,  0x1,
-  0x2,  0x2,  0x2,  0x2,
-  0x4,  0x4,  0x4,  0x4,
-  0x8,  0x8,  0x8,  0x8,
-  0x10,  0x10,  0x10,  0x10,
-  0x20,  0x20,  0x20,  0x20,
-  0x40,  0x40,  0x40,  0x40,
-  0x80,  0x80,  0x80,  0x80,
-  0x100,  0x100,  0x100,  0x100,
-  0x200,  0x200,  0x200,  0x200,
-  0x400,  0x400,  0x400,  0x400,
-  0x800,  0x800,  0x800,  0x800,
-  0x1000,  0x1000,  0x1000,  0x1000,
+    0x1,   0x1,   0x1,   0x1,    0x2,    0x2,    0x2,    0x2,   0x4,
+    0x4,   0x4,   0x4,   0x8,    0x8,    0x8,    0x8,    0x10,  0x10,
+    0x10,  0x10,  0x20,  0x20,   0x20,   0x20,   0x40,   0x40,  0x40,
+    0x40,  0x80,  0x80,  0x80,   0x80,   0x100,  0x100,  0x100, 0x100,
+    0x200, 0x200, 0x200, 0x200,  0x400,  0x400,  0x400,  0x400, 0x800,
+    0x800, 0x800, 0x800, 0x1000, 0x1000, 0x1000, 0x1000,
 };
 
 // bit_of_mod_4_x_3[a] = (1 << ((a % 4) * 3))
 const short bit_of_mod_4_x_3[52] = {
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
-  0x1,  0x8,  0x40,  0x200,
+    0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,
+    0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,
+    0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,
+    0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200,
+    0x1,   0x8,   0x40,  0x200, 0x1,   0x8,   0x40,  0x200,
 };
diff --git a/cpp/test/evaluation.cc b/cpp/test/evaluation.cc
index f1f8c93..839023a 100644
--- a/cpp/test/evaluation.cc
+++ b/cpp/test/evaluation.cc
@@ -1,6 +1,8 @@
-#include <cstdio>
-#include <algorithm>
 #include <phevaluator/phevaluator.h>
+
+#include <algorithm>
+#include <cstdio>
+
 #include "gtest/gtest.h"
 #include "kev/kev_eval.h"
 
@@ -17,18 +19,13 @@ TEST(EvaluationTest, TestFiveCards) {
 
   std::printf("Start testing five cards\n");
 
-  for(int a = 0; a < 48; a++)
-  {
-    for(int b = a + 1; b < 49; b++)
-    {
-      for(int c = b + 1; c < 50; c++)
-      {
-        for(int d = c + 1; d < 51; d++)
-        {
-          for(int e = d + 1; e < 52; e++)
-          {
-            int ph_eval = EvaluateCards(a, b, c, d, e).value(); // C++ method
-            int kev_eval = kev_eval_5cards(a, b, c, d, e); // Kev's method
+  for (int a = 0; a < 48; a++) {
+    for (int b = a + 1; b < 49; b++) {
+      for (int c = b + 1; c < 50; c++) {
+        for (int d = c + 1; d < 51; d++) {
+          for (int e = d + 1; e < 52; e++) {
+            int ph_eval = EvaluateCards(a, b, c, d, e).value();  // C++ method
+            int kev_eval = kev_eval_5cards(a, b, c, d, e);       // Kev's method
 
             EXPECT_EQ(ph_eval, kev_eval);
 
@@ -57,20 +54,15 @@ TEST(EvaluationTest, TestSixCards) {
 
   std::printf("Start testing six cards\n");
 
-  for(int a = 0; a < 47; a++)
-  {
-    for(int b = a + 1; b < 48; b++)
-    {
-      for(int c = b + 1; c < 49; c++)
-      {
-        for(int d = c + 1; d < 50; d++)
-        {
-          for(int e = d + 1; e < 51; e++)
-          {
-            for(int f = e + 1; f < 52; f++)
-            {
-              int ph_eval = EvaluateCards(a, b, c, d, e, f).value(); // C++ method
-              int kev_eval = kev_eval_6cards(a, b, c, d, e, f); // Kev's method
+  for (int a = 0; a < 47; a++) {
+    for (int b = a + 1; b < 48; b++) {
+      for (int c = b + 1; c < 49; c++) {
+        for (int d = c + 1; d < 50; d++) {
+          for (int e = d + 1; e < 51; e++) {
+            for (int f = e + 1; f < 52; f++) {
+              int ph_eval =
+                  EvaluateCards(a, b, c, d, e, f).value();       // C++ method
+              int kev_eval = kev_eval_6cards(a, b, c, d, e, f);  // Kev's method
 
               EXPECT_EQ(ph_eval, kev_eval);
 
@@ -100,20 +92,13 @@ TEST(EvaluationTest, TestSevenCards) {
 
   std::printf("Start testing seven cards\n");
 
-  for(int a = 0; a < 46; a ++)
-  {
-    for(int b = a + 1; b < 47; b++)
-    {
-      for(int c = b + 1; c < 48; c++)
-      {
-        for(int d = c + 1; d < 49; d++)
-        {
-          for(int e = d + 1; e < 50; e++)
-          {
-            for(int f = e + 1; f < 51; f++)
-            {
-              for(int g = f + 1; g < 52; g++)
-              {
+  for (int a = 0; a < 46; a++) {
+    for (int b = a + 1; b < 47; b++) {
+      for (int c = b + 1; c < 48; c++) {
+        for (int d = c + 1; d < 49; d++) {
+          for (int e = d + 1; e < 50; e++) {
+            for (int f = e + 1; f < 51; f++) {
+              for (int g = f + 1; g < 52; g++) {
                 int ph_eval = EvaluateCards(a, b, c, d, e, f, g).value();
                 int kev_eval = kev_eval_7cards(a, b, c, d, e, f, g);
 
@@ -138,4 +123,3 @@ TEST(EvaluationTest, TestSevenCards) {
   std::printf("Complete testing seven cards.\n");
   std::printf("Tested %d hands in total\n", count);
 }
-
diff --git a/cpp/test/evaluation5_standalone.cc b/cpp/test/evaluation5_standalone.cc
index 2934f5e..bc9e7c3 100644
--- a/cpp/test/evaluation5_standalone.cc
+++ b/cpp/test/evaluation5_standalone.cc
@@ -1,7 +1,9 @@
-#include <cstdio>
+#include <phevaluator/phevaluator.h>
+
 #include <algorithm>
 #include <cassert>
-#include <phevaluator/phevaluator.h>
+#include <cstdio>
+
 #include "kev/kev_eval.h"
 
 using namespace phevaluator;
@@ -17,18 +19,13 @@ int main() {
 
   std::printf("Start testing five cards\n");
 
-  for(int a = 0; a < 48; a++)
-  {
-    for(int b = a + 1; b < 49; b++)
-    {
-      for(int c = b + 1; c < 50; c++)
-      {
-        for(int d = c + 1; d < 51; d++)
-        {
-          for(int e = d + 1; e < 52; e++)
-          {
-            int ph_eval = EvaluateCards(a, b, c, d, e).value(); // C++ method
-            int kev_eval = kev_eval_5cards(a, b, c, d, e); // Kev's method
+  for (int a = 0; a < 48; a++) {
+    for (int b = a + 1; b < 49; b++) {
+      for (int c = b + 1; c < 50; c++) {
+        for (int d = c + 1; d < 51; d++) {
+          for (int e = d + 1; e < 52; e++) {
+            int ph_eval = EvaluateCards(a, b, c, d, e).value();  // C++ method
+            int kev_eval = kev_eval_5cards(a, b, c, d, e);       // Kev's method
 
             assert(ph_eval == kev_eval);
 
@@ -49,4 +46,3 @@ int main() {
   std::printf("Complete testing five cards.\n");
   std::printf("Tested %d hands in total\n", count);
 }
-
diff --git a/cpp/test/evaluation6_standalone.cc b/cpp/test/evaluation6_standalone.cc
index 91e92bd..d8ab158 100644
--- a/cpp/test/evaluation6_standalone.cc
+++ b/cpp/test/evaluation6_standalone.cc
@@ -1,7 +1,9 @@
-#include <cstdio>
+#include <phevaluator/phevaluator.h>
+
 #include <algorithm>
 #include <cassert>
-#include <phevaluator/phevaluator.h>
+#include <cstdio>
+
 #include "kev/kev_eval.h"
 
 using namespace phevaluator;
@@ -17,20 +19,15 @@ int main() {
 
   std::printf("Start testing six cards\n");
 
-  for(int a = 0; a < 47; a++)
-  {
-    for(int b = a + 1; b < 48; b++)
-    {
-      for(int c = b + 1; c < 49; c++)
-      {
-        for(int d = c + 1; d < 50; d++)
-        {
-          for(int e = d + 1; e < 51; e++)
-          {
-            for(int f = e + 1; f < 52; f++)
-            {
-              int ph_eval = EvaluateCards(a, b, c, d, e, f).value(); // C++ method
-              int kev_eval = kev_eval_6cards(a, b, c, d, e, f); // Kev's method
+  for (int a = 0; a < 47; a++) {
+    for (int b = a + 1; b < 48; b++) {
+      for (int c = b + 1; c < 49; c++) {
+        for (int d = c + 1; d < 50; d++) {
+          for (int e = d + 1; e < 51; e++) {
+            for (int f = e + 1; f < 52; f++) {
+              int ph_eval =
+                  EvaluateCards(a, b, c, d, e, f).value();       // C++ method
+              int kev_eval = kev_eval_6cards(a, b, c, d, e, f);  // Kev's method
 
               assert(ph_eval == kev_eval);
 
diff --git a/cpp/test/evaluation7_standalone.cc b/cpp/test/evaluation7_standalone.cc
index 31ee0cf..1d8946a 100644
--- a/cpp/test/evaluation7_standalone.cc
+++ b/cpp/test/evaluation7_standalone.cc
@@ -1,7 +1,9 @@
-#include <cstdio>
+#include <phevaluator/phevaluator.h>
+
 #include <algorithm>
 #include <cassert>
-#include <phevaluator/phevaluator.h>
+#include <cstdio>
+
 #include "kev/kev_eval.h"
 
 using namespace phevaluator;
@@ -17,20 +19,13 @@ int main() {
 
   std::printf("Start testing seven cards\n");
 
-  for(int a = 0; a < 46; a ++)
-  {
-    for(int b = a + 1; b < 47; b++)
-    {
-      for(int c = b + 1; c < 48; c++)
-      {
-        for(int d = c + 1; d < 49; d++)
-        {
-          for(int e = d + 1; e < 50; e++)
-          {
-            for(int f = e + 1; f < 51; f++)
-            {
-              for(int g = f + 1; g < 52; g++)
-              {
+  for (int a = 0; a < 46; a++) {
+    for (int b = a + 1; b < 47; b++) {
+      for (int c = b + 1; c < 48; c++) {
+        for (int d = c + 1; d < 49; d++) {
+          for (int e = d + 1; e < 50; e++) {
+            for (int f = e + 1; f < 51; f++) {
+              for (int g = f + 1; g < 52; g++) {
                 int ph_eval = EvaluateCards(a, b, c, d, e, f, g).value();
                 int kev_eval = kev_eval_7cards(a, b, c, d, e, f, g);
 
@@ -55,4 +50,3 @@ int main() {
   std::printf("Complete testing seven cards.\n");
   std::printf("Tested %d hands in total\n", count);
 }
-
diff --git a/cpp/test/evaluation_plo4.cc b/cpp/test/evaluation_plo4.cc
index 0a7e712..43b6d5c 100644
--- a/cpp/test/evaluation_plo4.cc
+++ b/cpp/test/evaluation_plo4.cc
@@ -1,6 +1,7 @@
 #include <phevaluator/card_sampler.h>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+
 #include <algorithm>
 #include <cstdio>
 #include <string>
@@ -17,8 +18,8 @@ static int percentage(long long numerator, long long denominator) {
 
 static card_sampler::CardSampler cs{};
 
-static short
-IterateKevEval(int a, int b, int c, int d, int e, int f, int g, int h, int i) {
+static short IterateKevEval(int a, int b, int c, int d, int e, int f, int g,
+                            int h, int i) {
   short best = 20000;
 
   int board[10][3] = {
diff --git a/cpp/test/evaluation_plo5.cc b/cpp/test/evaluation_plo5.cc
index 5dbf913..bf93c1f 100644
--- a/cpp/test/evaluation_plo5.cc
+++ b/cpp/test/evaluation_plo5.cc
@@ -1,6 +1,7 @@
 #include <phevaluator/card_sampler.h>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+
 #include <algorithm>
 #include <cstdio>
 #include <string>
@@ -17,16 +18,8 @@ static int percentage(long long numerator, long long denominator) {
 
 static card_sampler::CardSampler cs{};
 
-static short IterateKevEval(int a,
-                            int b,
-                            int c,
-                            int d,
-                            int e,
-                            int f,
-                            int g,
-                            int h,
-                            int i,
-                            int j) {
+static short IterateKevEval(int a, int b, int c, int d, int e, int f, int g,
+                            int h, int i, int j) {
   short best = 20000;
 
   int board[10][3] = {
diff --git a/cpp/test/evaluation_plo6.cc b/cpp/test/evaluation_plo6.cc
index 46c5a48..f5d8313 100644
--- a/cpp/test/evaluation_plo6.cc
+++ b/cpp/test/evaluation_plo6.cc
@@ -1,6 +1,7 @@
 #include <phevaluator/card_sampler.h>
 #include <phevaluator/phevaluator.h>
 #include <phevaluator/rank.h>
+
 #include <algorithm>
 #include <cstdio>
 #include <string>
@@ -17,17 +18,8 @@ static int percentage(long long numerator, long long denominator) {
 
 static card_sampler::CardSampler cs{};
 
-static short IterateKevEval(int a,
-                            int b,
-                            int c,
-                            int d,
-                            int e,
-                            int f,
-                            int g,
-                            int h,
-                            int i,
-                            int j,
-                            int k) {
+static short IterateKevEval(int a, int b, int c, int d, int e, int f, int g,
+                            int h, int i, int j, int k) {
   short best = 20000;
 
   int board[10][3] = {
diff --git a/cpp/test/kev/arrays.h b/cpp/test/kev/arrays.h
index 035108e..186454f 100644
--- a/cpp/test/kev/arrays.h
+++ b/cpp/test/kev/arrays.h
@@ -9,423 +9,668 @@
 */
 
 short flushes[] = {
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 1599, 0, 0, 0, 0, 0, 0, 0, 1598, 0, 0, 0, 1597, 0, 1596,
-8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1595, 0, 0, 0,
-0, 0, 0, 0, 1594, 0, 0, 0, 1593, 0, 1592, 1591, 0, 0, 0, 0, 0, 0,
-0,  0,  1590,  0, 0, 0, 1589, 0, 1588, 1587, 0, 0, 0, 0, 1586, 0,
-1585, 1584, 0, 0, 1583, 1582, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 1581, 0, 0, 0, 0, 0, 0, 0, 1580, 0, 0, 0,
-1579, 0, 1578, 1577, 0, 0, 0, 0, 0, 0, 0, 0, 1576, 0, 0, 0, 1575,
-0, 1574, 1573, 0, 0, 0, 0, 1572, 0, 1571, 1570, 0, 0, 1569, 1568,
-0, 1567, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1566, 0, 0,  0,  1565,  0,
-1564, 1563, 0, 0, 0, 0, 1562, 0, 1561, 1560, 0, 0, 1559, 1558, 0,
-1557, 0, 0, 0, 0, 0, 0, 1556, 0, 1555, 1554, 0, 0, 1553, 1552, 0,
-1551, 0, 0, 0, 0, 1550, 1549, 0, 1548, 0, 0, 0, 6, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1547, 0, 0, 0,
-0, 0, 0, 0, 1546, 0, 0, 0, 1545, 0, 1544, 1543, 0, 0, 0, 0, 0, 0,
-0, 0, 1542, 0, 0, 0, 1541, 0, 1540, 1539, 0, 0, 0,  0,  1538,  0,
-1537, 1536, 0, 0, 1535, 1534, 0, 1533, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 1532, 0, 0, 0, 1531, 0, 1530, 1529, 0, 0, 0, 0, 1528, 0, 1527,
-1526, 0, 0, 1525, 1524, 0, 1523, 0, 0, 0, 0, 0, 0, 1522, 0, 1521,
-1520, 0, 0, 1519, 1518, 0, 1517, 0, 0, 0, 0, 1516, 1515, 0, 1514,
-0, 0, 0, 1513, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1512, 0,
-0, 0, 1511, 0, 1510, 1509, 0, 0, 0, 0, 1508, 0, 1507, 1506, 0, 0,
-1505, 1504, 0, 1503, 0, 0, 0, 0, 0, 0, 1502, 0, 1501, 1500, 0, 0,
-1499, 1498, 0, 1497, 0, 0, 0, 0, 1496, 1495, 0, 1494,  0,  0,  0,
-1493,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 1492, 0, 1491, 1490, 0, 0,
-1489, 1488, 0, 1487, 0, 0, 0, 0, 1486, 1485, 0, 1484,  0,  0,  0,
-1483, 0, 0, 0, 0, 0, 0, 0, 0, 1482, 1481, 0, 1480, 0, 0, 0, 1479,
-0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1478, 0, 0, 0, 0,
-0, 0, 0, 1477, 0, 0, 0, 1476, 0, 1475, 1474, 0, 0, 0, 0, 0, 0, 0,
-0, 1473, 0, 0, 0, 1472, 0, 1471, 1470, 0, 0, 0, 0, 1469, 0, 1468,
-1467, 0, 0, 1466, 1465, 0, 1464, 0, 0, 0, 0, 0, 0, 0,  0,  0,  0,
-1463,  0,  0,  0, 1462, 0, 1461, 1460, 0, 0, 0, 0, 1459, 0, 1458,
-1457, 0, 0, 1456, 1455, 0, 1454, 0, 0, 0, 0, 0, 0, 1453, 0, 1452,
-1451, 0, 0, 1450, 1449, 0, 1448, 0, 0, 0, 0, 1447, 1446, 0, 1445,
-0, 0, 0, 1444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1443, 0,
-0, 0, 1442, 0, 1441, 1440, 0, 0, 0, 0, 1439, 0, 1438, 1437, 0, 0,
-1436, 1435, 0, 1434, 0, 0, 0, 0, 0, 0, 1433, 0, 1432, 1431, 0, 0,
-1430,  1429,  0,  1428, 0, 0, 0, 0, 1427, 1426, 0, 1425, 0, 0, 0,
-1424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1423, 0, 1422,  1421,  0,  0,
-1420,  1419,  0,  1418, 0, 0, 0, 0, 1417, 1416, 0, 1415, 0, 0, 0,
-1414, 0, 0, 0, 0, 0, 0, 0, 0, 1413, 1412, 0, 1411, 0, 0, 0, 1410,
-0, 0, 0, 0, 0, 0, 0, 1409, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 1408, 0, 0, 0, 1407, 0, 1406, 1405, 0,
-0, 0, 0, 1404, 0, 1403, 1402, 0, 0, 1401, 1400, 0, 1399, 0, 0, 0,
-0, 0, 0, 1398, 0, 1397, 1396, 0, 0, 1395, 1394, 0, 1393, 0, 0, 0,
-0, 1392, 1391, 0, 1390, 0, 0, 0, 1389, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 1388, 0, 1387, 1386, 0, 0, 1385, 1384, 0, 1383, 0,  0,  0,  0,
-1382, 1381, 0, 1380, 0, 0, 0, 1379, 0, 0, 0, 0, 0, 0, 0, 0, 1378,
-1377, 0, 1376, 0, 0, 0, 1375, 0, 0, 0, 0, 0, 0, 0, 1374, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1373, 0, 1372, 1371,
-0, 0, 1370, 1369, 0, 1368, 0, 0, 0, 0, 1367, 1366, 0, 1365, 0, 0,
-0,  1364,  0,  0, 0, 0, 0, 0, 0, 0, 1363, 1362, 0, 1361, 0, 0, 0,
-1360, 0, 0, 0, 0, 0, 0, 0, 1359, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 1358, 1357, 0, 1356, 0, 0, 0, 1355, 0, 0, 0, 0, 0,
-0, 0, 1354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1353, 0, 0, 0, 0, 0, 0, 0, 1352, 0, 0, 0, 1351, 0, 1350, 1349, 0,
-0, 0, 0, 0, 0, 0, 0, 1348, 0, 0, 0, 1347, 0, 1346, 1345, 0, 0, 0,
-0, 1344, 0, 1343, 1342, 0, 0, 1341, 1340, 0, 1339, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 1338, 0, 0, 0, 1337, 0, 1336, 1335, 0,  0,  0,  0,
-1334, 0, 1333, 1332, 0, 0, 1331, 1330, 0, 1329, 0, 0, 0, 0, 0, 0,
-1328, 0, 1327, 1326, 0, 0, 1325, 1324, 0, 1323, 0, 0, 0, 0, 1322,
-1321, 0, 1320, 0, 0, 0, 1319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 1318, 0, 0, 0, 1317, 0, 1316, 1315, 0, 0, 0,  0,  1314,  0,
-1313, 1312, 0, 0, 1311, 1310, 0, 1309, 0, 0, 0, 0, 0, 0, 1308, 0,
-1307, 1306, 0, 0, 1305, 1304, 0, 1303, 0, 0, 0, 0, 1302, 1301, 0,
-1300, 0, 0, 0, 1299, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1298, 0, 1297,
-1296, 0, 0, 1295, 1294, 0, 1293, 0, 0, 0, 0, 1292, 1291, 0, 1290,
-0, 0, 0, 1289, 0, 0, 0, 0, 0, 0, 0, 0, 1288, 1287, 0, 1286, 0, 0,
-0, 1285, 0, 0, 0, 0, 0, 0, 0, 1284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1283, 0, 0, 0, 1282, 0, 1281,
-1280, 0, 0, 0, 0, 1279, 0, 1278, 1277, 0, 0, 1276, 1275, 0, 1274,
-0, 0, 0, 0, 0, 0, 1273, 0, 1272, 1271, 0, 0, 1270, 1269, 0, 1268,
-0, 0, 0, 0, 1267, 1266, 0, 1265, 0, 0, 0, 1264, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 1263, 0, 1262, 1261, 0, 0, 1260, 1259, 0, 1258, 0, 0,
-0, 0, 1257, 1256, 0, 1255, 0, 0, 0, 1254, 0, 0, 0, 0, 0, 0, 0, 0,
-1253, 1252, 0, 1251, 0, 0, 0, 1250, 0, 0, 0, 0, 0, 0, 0, 1249, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1248, 0, 1247,
-1246, 0, 0, 1245, 1244, 0, 1243, 0, 0, 0, 0, 1242, 1241, 0, 1240,
-0, 0, 0, 1239, 0, 0, 0, 0, 0, 0, 0, 0, 1238, 1237, 0, 1236, 0, 0,
-0, 1235, 0, 0, 0, 0, 0, 0, 0, 1234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 1233, 1232, 0, 1231, 0, 0, 0, 1230, 0, 0, 0, 0,
-0, 0, 0, 1229, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1228,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1227, 0, 0, 0,
-1226, 0, 1225, 1224, 0, 0, 0, 0, 1223, 0, 1222, 1221, 0, 0, 1220,
-1219, 0, 1218, 0, 0, 0, 0, 0, 0, 1217, 0, 1216, 1215, 0, 0, 1214,
-1213, 0, 1212, 0, 0, 0, 0, 1211, 1210, 0, 1209, 0, 0, 0, 1208, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 1207, 0, 1206, 1205, 0, 0, 1204, 1203,
-0, 1202, 0, 0, 0, 0, 1201, 1200, 0, 1199, 0, 0, 0, 1198, 0, 0, 0,
-0, 0, 0, 0, 0, 1197, 1196, 0, 1195, 0, 0, 0, 1194, 0, 0, 0, 0, 0,
-0, 0, 1193, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1192, 0, 1191, 1190, 0, 0, 1189, 1188, 0, 1187, 0, 0, 0, 0, 1186,
-1185, 0, 1184, 0, 0, 0, 1183, 0, 0, 0, 0, 0, 0, 0, 0, 1182, 1181,
-0, 1180, 0, 0, 0, 1179, 0, 0, 0, 0, 0, 0, 0, 1178, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1177, 1176, 0, 1175,  0,  0,  0,
-1174, 0, 0, 0, 0, 0, 0, 0, 1173, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 1172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1171, 0,
-1170, 1169, 0, 0, 1168, 1167, 0, 1166, 0, 0, 0, 0, 1165, 1164, 0,
-1163, 0, 0, 0, 1162, 0, 0, 0, 0, 0, 0, 0, 0, 1161, 1160, 0, 1159,
-0, 0, 0, 1158, 0, 0, 0, 0, 0, 0, 0, 1157, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 1156, 1155, 0, 1154, 0, 0, 0, 1153, 0, 0,
-0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1150, 1149, 0, 1148, 0, 0, 0,
-1147, 0, 0, 0, 0, 0, 0, 0, 1146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 1145, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 1144, 0, 0, 0, 0, 0, 0, 0, 1143, 0, 0, 0, 1142,
-0, 1141, 1140, 0, 0, 0, 0, 0, 0, 0, 0, 1139, 0, 0,  0,  1138,  0,
-1137, 1136, 0, 0, 0, 0, 1135, 0, 1134, 1133, 0, 0, 1132, 1131, 0,
-1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1129, 0, 0, 0, 1128, 0, 1127,
-1126, 0, 0, 0, 0, 1125, 0, 1124, 1123, 0, 0, 1122, 1121, 0, 1120,
-0, 0, 0, 0, 0, 0, 1119, 0, 1118, 1117, 0, 0, 1116, 1115, 0, 1114,
-0, 0, 0, 0, 1113, 1112, 0, 1111, 0, 0, 0, 1110, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 1109, 0, 0, 0, 1108, 0, 1107, 1106, 0, 0,
-0, 0, 1105, 0, 1104, 1103, 0, 0, 1102, 1101, 0, 1100, 0, 0, 0, 0,
-0, 0, 1099, 0, 1098, 1097, 0, 0, 1096, 1095, 0, 1094, 0, 0, 0, 0,
-1093, 1092, 0, 1091, 0, 0, 0, 1090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1089, 0, 1088, 1087, 0, 0, 1086, 1085, 0, 1084, 0, 0, 0, 0, 1083,
-1082, 0, 1081, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 0, 0, 0, 1079, 1078,
-0, 1077, 0, 0, 0, 1076, 0, 0, 0, 0, 0, 0, 0, 1075, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1074, 0, 0, 0,
-1073, 0, 1072, 1071, 0, 0, 0, 0, 1070, 0, 1069, 1068, 0, 0, 1067,
-1066, 0, 1065, 0, 0, 0, 0, 0, 0, 1064, 0, 1063, 1062, 0, 0, 1061,
-1060, 0, 1059, 0, 0, 0, 0, 1058, 1057, 0, 1056, 0, 0, 0, 1055, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 1054, 0, 1053, 1052, 0, 0, 1051, 1050,
-0, 1049, 0, 0, 0, 0, 1048, 1047, 0, 1046, 0, 0, 0, 1045, 0, 0, 0,
-0, 0, 0, 0, 0, 1044, 1043, 0, 1042, 0, 0, 0, 1041, 0, 0, 0, 0, 0,
-0, 0, 1040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-1039, 0, 1038, 1037, 0, 0, 1036, 1035, 0, 1034, 0, 0, 0, 0, 1033,
-1032, 0, 1031, 0, 0, 0, 1030, 0, 0, 0, 0, 0, 0, 0, 0, 1029, 1028,
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+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    486,  0,    0,    0,    485,
+    0,    484,  483,  0,    0,    0,    0,    482,  0,    481,  480,  0,
+    0,    479,  478,  0,    477,  0,    0,    0,    0,    0,    0,    476,
+    0,    475,  474,  0,    0,    473,  472,  0,    471,  0,    0,    0,
+    0,    470,  469,  0,    468,  0,    0,    0,    467,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    466,  0,    465,  464,  0,
+    0,    463,  462,  0,    461,  0,    0,    0,    0,    460,  459,  0,
+    458,  0,    0,    0,    457,  0,    0,    0,    0,    0,    0,    0,
+    0,    456,  455,  0,    454,  0,    0,    0,    453,  0,    0,    0,
+    0,    0,    0,    0,    452,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    451,
+    0,    450,  449,  0,    0,    448,  447,  0,    446,  0,    0,    0,
+    0,    445,  444,  0,    443,  0,    0,    0,    442,  0,    0,    0,
+    0,    0,    0,    0,    0,    441,  440,  0,    439,  0,    0,    0,
+    438,  0,    0,    0,    0,    0,    0,    0,    437,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    436,  435,  0,    434,  0,    0,    0,    433,  0,    0,    0,
+    0,    0,    0,    0,    432,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    431,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    430,  0,    429,  428,  0,
+    0,    427,  426,  0,    425,  0,    0,    0,    0,    424,  423,  0,
+    422,  0,    0,    0,    421,  0,    0,    0,    0,    0,    0,    0,
+    0,    420,  419,  0,    418,  0,    0,    0,    417,  0,    0,    0,
+    0,    0,    0,    0,    416,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    415,  414,  0,
+    413,  0,    0,    0,    412,  0,    0,    0,    0,    0,    0,    0,
+    411,  0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    410,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    409,  408,  0,    407,  0,    0,    0,    406,  0,    0,    0,
+    0,    0,    0,    0,    405,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    404,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    403,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    402,
+    0,    401,  400,  0,    0,    399,  398,  0,    397,  0,    0,    0,
+    0,    396,  395,  0,    394,  0,    0,    0,    393,  0,    0,    0,
+    0,    0,    0,    0,    0,    392,  391,  0,    390,  0,    0,    0,
+    389,  0,    0,    0,    0,    0,    0,    0,    388,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    387,  386,  0,    385,  0,    0,    0,    384,  0,    0,    0,
+    0,    0,    0,    0,    383,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    382,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    381,  380,  0,    379,  0,    0,    0,
+    378,  0,    0,    0,    0,    0,    0,    0,    377,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    376,  0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    375,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    374,  373,  0,    372,  0,    0,    0,    371,  0,    0,    0,
+    0,    0,    0,    0,    370,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    369,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    368,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    367,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    366,  0,    365,  364,  0,
+    0,    363,  362,  0,    361,  0,    0,    0,    0,    360,  359,  0,
+    358,  0,    0,    0,    357,  0,    0,    0,    0,    0,    0,    0,
+    0,    356,  355,  0,    354,  0,    0,    0,    353,  0,    0,    0,
+    0,    0,    0,    0,    352,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    351,  350,  0,
+    349,  0,    0,    0,    348,  0,    0,    0,    0,    0,    0,    0,
+    347,  0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    346,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    345,  344,  0,    343,  0,    0,    0,    342,  0,    0,    0,
+    0,    0,    0,    0,    341,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    340,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    339,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    338,  337,  0,
+    336,  0,    0,    0,    335,  0,    0,    0,    0,    0,    0,    0,
+    334,  0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    333,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    332,  0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    331,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    330,  329,  0,    328,  0,    0,    0,    327,  0,    0,    0,
+    0,    0,    0,    0,    326,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    325,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    324,  0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    323,  0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    1};
 
 /*
 ** this is a table lookup for all non-flush hands consisting
@@ -433,1529 +678,1786 @@ short flushes[] = {
 ** hands).  it's similar to the above "flushes" array.
 */
 short unique5[] = {
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 1608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 7462, 0, 0, 0, 0, 0, 0, 0, 7461, 0, 0,  0,  7460,  0,
-7459, 1607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7458,
-0, 0, 0, 0, 0, 0, 0, 7457, 0, 0, 0, 7456, 0, 7455, 7454, 0, 0, 0,
-0,  0,  0,  0, 0, 7453, 0, 0, 0, 7452, 0, 7451, 7450, 0, 0, 0, 0,
-7449, 0, 7448, 7447, 0, 0, 7446, 7445, 0, 1606, 0, 0, 0, 0, 0, 0,
-0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 7444, 0, 0, 0, 0, 0, 0, 0,
-7443, 0, 0, 0, 7442, 0, 7441, 7440, 0, 0, 0, 0, 0, 0, 0, 0, 7439,
-0, 0, 0, 7438, 0, 7437, 7436, 0, 0, 0, 0, 7435, 0, 7434, 7433, 0,
-0, 7432, 7431, 0, 7430, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7429, 0, 0,
-0,  7428,  0,  7427, 7426, 0, 0, 0, 0, 7425, 0, 7424, 7423, 0, 0,
-7422, 7421, 0, 7420, 0, 0, 0, 0, 0, 0, 7419, 0, 7418, 7417, 0, 0,
-7416,  7415,  0,  7414, 0, 0, 0, 0, 7413, 7412, 0, 7411, 0, 0, 0,
-1605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0,  0,  7410,  0, 0, 0, 0, 0, 0, 0, 7409, 0, 0, 0, 7408, 0, 7407,
-7406, 0, 0, 0, 0, 0, 0, 0, 0, 7405, 0, 0, 0, 7404, 0, 7403, 7402,
-0, 0, 0, 0, 7401, 0, 7400, 7399, 0, 0, 7398, 7397, 0, 7396, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 7395, 0, 0, 0, 7394, 0, 7393, 7392, 0, 0,
-0, 0, 7391, 0, 7390, 7389, 0, 0, 7388, 7387, 0, 7386, 0, 0, 0, 0,
-0, 0, 7385, 0, 7384, 7383, 0, 0, 7382, 7381, 0, 7380, 0, 0, 0, 0,
-7379, 7378, 0, 7377, 0, 0, 0, 7376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 7375, 0, 0, 0, 7374, 0, 7373, 7372, 0, 0, 0, 0, 7371,
-0, 7370, 7369, 0, 0, 7368, 7367, 0, 7366, 0, 0, 0, 0, 0, 0, 7365,
-0, 7364, 7363, 0, 0, 7362, 7361, 0, 7360, 0, 0, 0, 0, 7359, 7358,
-0,  7357,  0,  0, 0, 7356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7355, 0,
-7354, 7353, 0, 0, 7352, 7351, 0, 7350, 0, 0, 0, 0, 7349, 7348, 0,
-7347, 0, 0, 0, 7346, 0, 0, 0, 0, 0, 0, 0, 0, 7345, 7344, 0, 7343,
-0, 0, 0, 7342, 0, 0, 0, 0, 0, 0, 0, 1604, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-7341, 0, 0, 0, 0, 0, 0, 0, 7340, 0, 0, 0, 7339, 0, 7338, 7337, 0,
-0, 0, 0, 0, 0, 0, 0, 7336, 0, 0, 0, 7335, 0, 7334, 7333, 0, 0, 0,
-0, 7332, 0, 7331, 7330, 0, 0, 7329, 7328, 0, 7327, 0, 0, 0, 0, 0,
-0,  0,  0,  0, 0, 7326, 0, 0, 0, 7325, 0, 7324, 7323, 0, 0, 0, 0,
-7322, 0, 7321, 7320, 0, 0, 7319, 7318, 0, 7317, 0, 0, 0, 0, 0, 0,
-7316, 0, 7315, 7314, 0, 0, 7313, 7312, 0, 7311, 0, 0, 0, 0, 7310,
-7309, 0, 7308, 0, 0, 0, 7307, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0,  0,  7306,  0, 0, 0, 7305, 0, 7304, 7303, 0, 0, 0, 0, 7302, 0,
-7301, 7300, 0, 0, 7299, 7298, 0, 7297, 0, 0, 0, 0, 0, 0, 7296, 0,
-7295, 7294, 0, 0, 7293, 7292, 0, 7291, 0, 0, 0, 0, 7290, 7289, 0,
-7288, 0, 0, 0, 7287, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7286, 0, 7285,
-7284, 0, 0, 7283, 7282, 0, 7281, 0, 0, 0, 0, 7280, 7279, 0, 7278,
-0, 0, 0, 7277, 0, 0, 0, 0, 0, 0, 0, 0, 7276, 7275, 0, 7274, 0, 0,
-0, 7273, 0, 0, 0, 0, 0, 0, 0, 7272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
-0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7271, 0, 0, 0, 7270, 0, 7269,
-7268, 0, 0, 0, 0, 7267, 0, 7266, 7265, 0, 0, 7264, 7263, 0, 7262,
-0, 0, 0, 0, 0, 0, 7261, 0, 7260, 7259, 0, 0, 7258, 7257, 0, 7256,
-0, 0, 0, 0, 7255, 7254, 0, 7253, 0, 0, 0, 7252, 0, 0, 0, 0, 0, 0,
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+    0,    0,    0,    0,    6202, 0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    6201, 6200, 0,
+    6199, 0,    0,    0,    6198, 0,    0,    0,    0,    0,    0,    0,
+    6197, 0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    6196, 0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    6195, 0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    6194, 0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    6193, 6192, 0,    6191, 0,    0,    0,    6190, 0,    0,    0,
+    0,    0,    0,    0,    6189, 0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    6188, 0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    6187, 0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    6186, 0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,    0,
+    0,    0,    0,    0,    1600};
 
 int products[] = {
-48, 72, 80, 108, 112, 120, 162, 168, 176,  180,  200,  208,  252,
-264,  270, 272, 280, 300, 304, 312, 368, 378, 392, 396, 405, 408,
-420, 440, 450, 456, 464, 468, 496, 500, 520, 552, 567, 588,  592,
-594,  612, 616, 630, 656, 660, 675, 680, 684, 696, 700, 702, 728,
-744, 750, 760, 780, 828, 882, 888, 891, 918, 920, 924, 945,  952,
-968,  980,  984,  990,  1020, 1026, 1044, 1050, 1053, 1064, 1092,
-1100, 1116, 1125, 1140, 1144, 1160, 1170, 1240, 1242, 1250, 1288,
-1300, 1323, 1332, 1352, 1372, 1377, 1380, 1386, 1428, 1452, 1470,
-1476, 1480, 1485, 1496, 1530, 1539, 1540, 1566, 1575, 1596, 1624,
-1638, 1640, 1650, 1672, 1674, 1700, 1710, 1716, 1736, 1740, 1750,
-1755, 1768, 1820, 1860, 1863, 1875, 1900, 1932, 1950, 1976, 1998,
-2024, 2028, 2058, 2070, 2072, 2079, 2142, 2156, 2178, 2205, 2214,
-2220, 2244, 2295, 2296, 2300, 2312, 2349, 2380, 2392, 2394, 2420,
-2436, 2450, 2457, 2460, 2475, 2508, 2511, 2548, 2550, 2552, 2565,
-2574, 2584, 2604, 2610, 2625, 2652, 2660, 2728, 2750, 2790, 2850,
-2860, 2888, 2898, 2900, 2925, 2964, 2997, 3016, 3036, 3042, 3087,
-3100, 3105, 3108, 3128, 3213, 3220, 3224, 3234, 3250, 3256, 3267,
-3321, 3330, 3332, 3366, 3380, 3388, 3430, 3444, 3450, 3465, 3468,
-3496, 3588, 3591, 3608, 3630, 3654, 3675, 3690, 3700, 3724, 3740,
-3762, 3822, 3825, 3828, 3848, 3850, 3861, 3876, 3906, 3915, 3944,
-3978, 4004, 4060, 4092, 4095, 4100, 4125, 4180, 4185, 4216, 4232,
-4250, 4264, 4275, 4332, 4340, 4347, 4350, 4375, 4408, 4420, 4446,
-4508, 4524, 4550, 4554, 4563, 4650, 4662, 4692, 4712, 4732, 4750,
-4802, 4836, 4851, 4875, 4884, 4940, 4995, 4998, 5032, 5049, 5060,
-5070, 5082, 5145, 5166, 5175, 5180, 5202, 5236, 5244, 5324, 5336,
-5355, 5382, 5390, 5412, 5445, 5481, 5535, 5550, 5576, 5586, 5624,
-5643, 5684, 5704, 5733, 5740, 5742, 5750, 5772, 5775, 5780, 5814,
-5852, 5859, 5916, 5950, 5967, 5980, 5985, 6050, 6076, 6125, 6138,
-6150, 6188, 6232, 6292, 6324, 6348, 6370, 6375, 6380, 6396, 6435,
-6460, 6498, 6525, 6612, 6650, 6669, 6728, 6762, 6786, 6808, 6820,
-6825, 6831, 6875, 6916, 6975, 6993, 7038, 7068, 7084, 7098, 7125,
-7150, 7192, 7203, 7220, 7245, 7250, 7252, 7254, 7326, 7436, 7497,
-7540, 7544, 7546, 7548, 7605, 7623, 7688, 7749, 7750, 7803, 7820,
-7866, 7986, 8004, 8036, 8050, 8060, 8073, 8085, 8092, 8118, 8125,
-8140, 8228, 8325, 8330, 8364, 8372, 8379, 8415, 8436, 8450, 8470,
-8526, 8556, 8575, 8584, 8613, 8625, 8658, 8670, 8721, 8740, 8788,
-8874, 8918, 8925, 8932, 9009, 9020, 9044, 9075, 9114, 9135, 9176,
-9196, 9207, 9225, 9250, 9310, 9348, 9350, 9405, 9438, 9486, 9512,
-9522, 9548, 9555, 9594, 9620, 9625, 9724, 9747, 9765, 9860, 9918,
-9945,  9975,  10092,  10108,  10143,  10150, 10168, 10179, 10212,
-10250, 10450, 10540, 10556, 10557, 10580,  10602,  10625,  10647,
-10660,  10725,  10788,  10830, 10850, 10868, 10875, 10878, 10881,
-10948, 10952, 10989, 11020, 11050, 11115,  11132,  11154,  11270,
-11284,  11316,  11319,  11322, 11375, 11385, 11396, 11492, 11532,
-11625, 11655, 11662, 11780, 11781, 11799,  11830,  11858,  11875,
-11979,  12005,  12006,  12054, 12075, 12136, 12138, 12177, 12236,
-12342, 12350, 12495, 12546, 12580, 12628,  12650,  12654,  12675,
-12705,  12716,  12789,  12834, 12844, 12876, 12915, 12950, 12987,
-13005, 13034, 13156, 13167, 13182, 13310,  13311,  13340,  13377,
-13448,  13455,  13468,  13475, 13671, 13764, 13794, 13804, 13875,
-13923, 13940, 13965, 14014, 14022, 14025,  14036,  14060,  14157,
-14210,  14212,  14229,  14260, 14268, 14283, 14350, 14355, 14375,
-14391, 14450, 14535, 14756, 14812, 14875,  14877,  14924,  14950,
-15004,  15028,  15125,  15138, 15162, 15190, 15225, 15252, 15318,
-15345, 15375, 15428, 15548, 15561, 15580,  15675,  15730,  15778,
-15870,  15884,  15903,  15925, 15939, 15950, 16150, 16182, 16245,
-16275, 16317, 16428, 16492, 16562, 16575,  16588,  16625,  16698,
-16731,  16796,  16820,  16905, 16965, 16974, 16983, 17020, 17050,
-17204, 17238, 17298, 17493, 17595, 17612,  17732,  17745,  17787,
-17875,  17908,  17980,  18009, 18050, 18081, 18125, 18130, 18135,
-18204, 18207, 18315, 18326, 18513, 18525,  18590,  18634,  18676,
-18772,  18819,  18837,  18850, 18860, 18865, 18975, 18981, 19074,
-19220, 19228, 19251, 19266, 19314, 19375,  19425,  19516,  19550,
-19551,  19604,  19652,  19665, 19684, 19773, 19844, 19894, 19964,
-19965, 20090, 20097, 20125, 20150, 20172,  20230,  20295,  20332,
-20349,  20350,  20482,  20570, 20646, 20691, 20825, 20956, 21021,
-21033, 21054, 21125, 21164, 21175, 21266,  21315,  21402,  21460,
-21483,  21525,  21645,  21658, 21675, 21692, 21812, 21850, 21879,
-21964, 21970, 22022, 22185, 22218, 22295,  22425,  22506,  22542,
-22550,  22707,  22724,  22743, 22785, 22878, 22940, 22977, 22990,
-23125, 23188, 23275, 23276, 23322, 23375,  23452,  23548,  23595,
-23667,  23715,  23751,  23780, 23805, 23826, 23828, 23925, 23985,
-24050, 24206, 24225, 24244, 24273, 24453,  24548,  24633,  24642,
-24650,  24794,  24795,  24843, 25012, 25025, 25047, 25172, 25230,
-25270, 25375, 25382, 25389, 25420, 25461,  25575,  25625,  25636,
-25641,  25857,  25916,  25947, 26026, 26125, 26350, 26404, 26411,
-26450, 26505, 26588, 26650, 26862, 26908,  27075,  27125,  27195,
-27306,  27380,  27404,  27436, 27489, 27508, 27531, 27550, 27625,
-27676, 27716, 27830, 27885, 27951, 28126,  28158,  28175,  28275,
-28305,  28322,  28413,  28611, 28652, 28730, 28798, 28830, 28899,
-28971, 29155, 29282, 29302, 29325, 29348,  29406,  29450,  29478,
-29575,  29601,  29645,  29716, 29766, 29841, 30015, 30044, 30135,
-30225, 30258, 30303, 30340, 30345, 30525,  30628,  30668,  30723,
-30758,  30855,  30875,  30932, 30969, 31059, 31213, 31262, 31365,
-31372, 31434, 31450, 31581, 31625, 31635,  31654,  31790,  31899,
-31977,  32085,  32103,  32110, 32116, 32186, 32375, 32487, 32585,
-32708, 32725, 32775, 32946, 32955, 33033,  33201,  33212,  33275,
-33292,  33327,  33350,  33418, 33524, 33579, 33620, 33759, 33813,
-33825, 34276, 34317, 34485, 34606, 34684,  34713,  34850,  34914,
-34983,  35035,  35055,  35090, 35150, 35322, 35378, 35525, 35588,
-35650, 35739, 35836, 35875, 35972, 36075,  36125,  36244,  36309,
-36556,  36575,  36822,  36946, 36963, 36975, 37004, 37030, 37076,
-37107, 37191, 37323, 37375, 37444, 37468,  37510,  37518,  37570,
-37791,  37845,  37905,  37975, 38073, 38295, 38318, 38332, 38675,
-38709, 38870, 38950, 38962, 39039, 39325,  39445,  39494,  39525,
-39556,  39627,  39675,  39710, 39875, 39882, 39886, 39897, 39975,
-40052, 40204, 40222, 40293, 40362, 40375,  40455,  40508,  40817,
-40898,  40959,  41070,  41154, 41262, 41325, 41405, 41492, 41503,
-41574, 41745, 41876, 42021, 42050, 42189,  42237,  42284,  42435,
-42476,  42483,  42550,  42625, 42772, 42826, 43095, 43197, 43225,
-43245, 43263, 43732, 43911, 43923, 43953,  44109,  44175,  44198,
-44217,  44252,  44275,  44289, 44506, 44649, 44764, 44770, 44919,
-44950, 44954, 45125, 45254, 45325, 45356,  45387,  45619,  45747,
-45815,  46137,  46475,  46585, 46748, 46893, 46930, 47068, 47125,
-47138, 47150, 47151, 47175, 47212, 47396,  47481,  47619,  47685,
-47804,  48050,  48165,  48279, 48285, 48314, 48334, 48484, 48668,
-48807, 48875, 49010, 49036, 49049, 49077,  49126,  49130,  49419,
-49610,  49735,  49818,  49972, 50025, 50127, 50225, 50286, 50375,
-50430, 50468, 50575, 50578, 50692, 50875,  51129,  51205,  51425,
-51615,  51646,  51842,  51909, 52173, 52234, 52275, 52316, 52325,
-52371, 52390, 52514, 52598, 52635, 52725,  52767,  52972,  52983,
-53067,  53165,  53428,  53475, 53482, 53505, 53613, 53650, 53754,
-53958, 53998, 54145, 54188, 54418, 54549,  54625,  54910,  54925,
-55055,  55223,  55233,  55419, 55506, 55545, 55594, 55796, 55825,
-55924, 56265, 56277, 56355, 56375, 56525,  56637,  57122,  57188,
-57195,  57350,  57475,  57477, 57498, 57681, 57722, 57868, 57967,
-58190, 58305, 58311, 58425, 58443, 58870,  59204,  59241,  59409,
-59450,  59565,  59644,  59675, 59774, 59823, 59829, 60125, 60236,
-60306, 60333, 60515, 60543, 60775, 61132,  61226,  61347,  61364,
-61370,  61605,  61625,  61642, 61659, 61731, 61828, 61893, 61985,
-62271, 62361, 62530, 62678, 62814, 63075,  63175,  63206,  63426,
-63455,  63550,  63825,  63916, 64124, 64141, 64158, 64239, 64467,
-64676, 65065, 65219, 65348, 65366, 65596,  65598,  65702,  65875,
-65975,  66033,  66092,  66125, 66297, 66470, 66625, 66748, 66759,
-66861, 67146, 67155, 67270, 67425, 67431,  67599,  67881,  67925,
-68265,  68306,  68324,  68425, 68450, 68590, 68614, 68770, 68782,
-68875, 68894, 68913, 69003, 69290, 69454,  69575,  69597,  69629,
-69874,  69938,  70315,  70395, 70525, 70587, 70602, 70642, 70707,
-70725, 70805, 71094, 71188, 71225, 71668,  71687,  71825,  71995,
-72075,  72261,  72358,  72471, 72501, 72964, 73002, 73036, 73205,
-73255, 73346, 73515, 73593, 73625, 73689,  73695,  73964,  74415,
-74431,  74698,  74727,  74907, 74958, 75429, 75645, 75803, 75850,
-75867, 76342, 76475, 76874, 76895, 77077,  77121,  77198,  77372,
-77469,  77763,  77996,  78039, 78155, 78166, 78292, 78351, 78585,
-78625, 78771, 78884, 78897, 78925, 79135,  79475,  80073,  80142,
-80223,  80275,  80465,  80475, 80631, 80852, 80937, 80997, 81466,
-81548, 81549, 81627, 82225, 82251, 82365,  82418,  82522,  82654,
-82708,  83030,  83259,  83375, 83391, 83398, 83421, 83486, 83545,
-83810, 84050, 84175, 84249, 84303, 84721,  85514,  85683,  85782,
-85918,  86025,  86247,  86275, 86428, 86515, 86583, 86756, 86779,
-87125, 87172, 87285, 87362, 87412, 87542,  87725,  87875,  88102,
-88305,  88412,  88445,  88806, 88825, 88837, 89001, 89125, 89175,
-89590, 89661, 89930, 90117, 90354, 90364,  90459,  91091,  91143,
-91234,  91839,  92046,  92055, 92225, 92365, 92414, 92463, 92510,
-92575, 93058, 93092, 93275, 93357, 93775,  93795,  93925,  94017,
-94178,  94221,  94622,  94809, 95139, 95325, 95571, 95795, 95830,
-95874, 96026, 96237, 96278, 96425, 96596,  97006,  97175,  97375,
-97405,  97526,  97556,  97682, 98022, 98049, 98394, 98397, 98441,
-98494, 98553, 98716, 98735, 99127, 99275,  99567,  99705,  99715,
-100510,  100555,  100719, 100793, 100905, 101062, 102051, 102245,
-102459, 102487, 102557, 102675, 102885, 102921,  103075,  103155,
-103156,  103173,  103246, 103341, 103675, 103935, 104044, 104181,
-104284, 104690, 104811, 104907, 104975, 105125,  105154,  105183,
-105524,  105710,  105754, 105903, 105963, 106227, 106375, 106641,
-106782, 106930, 107065, 107525, 107559, 107653,  107822,  108086,
-108537,  109089,  109142, 109174, 109330, 109388, 109417, 109503,
-109554, 110019, 110075, 110331, 110495, 110789,  110825,  110946,
-111265,  111476,  111910, 111925, 112047, 112375, 112385, 112406,
-112437, 112651, 113135, 113553, 113775, 114057,  114308,  114513,
-115258,  115292,  115311, 115797, 116058, 116242, 116402, 116522,
-116725, 116932, 116963, 117249, 117325, 117334,  117438,  117670,
-117711,  117845,  117875, 118490, 119119, 119164, 119187, 119306,
-120125, 120175, 120213, 120785, 120802, 120835,  121121,  121670,
-121923,  121975,  122018, 122199, 122525, 122815, 122825, 123025,
-123627, 123783, 123823, 123981, 124025, 124468,  124545,  124558,
-124775,  124930,  125097, 125229, 125426, 125541, 125715, 125829,
-125902, 125948, 126075, 126445, 127075, 127426,  127534,  127738,
-127756,  128018,  128271, 128673, 128877, 128986, 129115, 129311,
-129514, 129605, 130134, 130203, 130585, 130975,  131043,  131118,
-131285,  131313,  131495, 132153, 132158, 132275, 132618, 133052,
-133133, 133209, 133342, 133570, 133705, 134113,  134125,  134162,
-134199,  134385,  134895, 134995, 135014, 135531, 135575, 136045,
-136214, 136325, 136367, 136851, 137275, 137547,  137566,  137924,
-138069,  138229,  138621, 138765, 138985, 139113, 139564, 139587,
-139601, 139638, 140714, 140777, 141267, 141933,  142025,  142228,
-142538,  142766,  142805, 142970, 143143, 143375, 143745, 143811,
-144039, 144279, 144305, 144417, 144925, 145475,  145509,  145521,
-146234,  146289,  146334, 146523, 146566, 146575, 147033, 147175,
-147436, 147591, 147706, 147741, 147994, 148010,  148625,  148666,
-148707,  148925,  149435, 149702, 149891, 150183, 150590, 150765,
-150898, 151294, 151525, 151593, 152218, 152438,  153062,  153065,
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-3296, 6114, 5724, 2382, 314, 5490, 5903, 2415, 6097, 5739,  2377,
-139,  6157, 3295, 2354, 5920, 6086, 6145, 5084, 2319, 5738, 2423,
-129, 3093, 5928, 2307, 3283, 5875, 5842, 3212, 3277, 6122,  2405,
-2266,  6055,  3203, 3246, 313, 2344, 2299, 305, 6139, 5915, 2203,
-6108, 3282, 5709, 6094, 2376, 5522, 3158, 5797, 138, 6061,  3255,
-3294, 5514, 6010, 6142, 3276, 5951, 6050, 3193, 5303, 5469, 6080,
-284, 2414, 2370, 2313, 5839, 4865, 2381, 6134, 262,  5899,  2263,
-5733, 6124, 5956, 6016, 6153, 3236, 5441, 5907, 2413, 3254, 2362,
-3293, 2290, 5504, 6005, 5732, 5941, 5301, 5871, 2404, 3006, 6096,
-5519,  5794, 6058, 2330, 6166, 304, 5879, 6118, 5894, 5948, 5723,
-2929, 3092, 3275, 5688, 2403, 2369, 6044, 2280, 5722, 6090, 6121,
-2375,  3016, 5866, 137, 3202, 6013, 5737, 6073, 4645, 5660, 6156,
-2306, 5405, 2361, 6138, 312, 2353, 6113, 5729, 5938, 3253,  5081,
-5489, 6093, 5999, 2265, 5835, 2327, 5926, 6060, 3211, 2830, 2298,
-5843, 2259, 6085, 5950, 2374, 5083, 3226, 136,  273,  128,  5888,
-5360, 5708, 2402, 4864, 2343, 6133, 5295, 5719, 5513, 5790, 6054,
-6015, 5707, 5830, 3192, 5302, 3157, 3274, 5860, 3210, 6037, 5798,
-5624, 2352, 3148, 2254, 6141, 5940, 2137, 2202, 2368, 6107, 2262,
-311, 5923, 6057, 3268, 3273, 6029, 5285, 6117, 2289, 5947,  6009,
-5503, 5518, 5785, 5731, 3252, 6049, 3245, 5468, 6152, 2360, 6079,
-5992, 303, 5579, 5905, 135, 2342, 3138, 5934, 6089,  3015,  2323,
-2367,  6012, 5704, 3251, 3156, 295, 2918, 4644, 5440, 5687, 5984,
-5824, 5877, 2279, 6112, 3209, 5937, 6004, 5721, 5300, 2248, 4425,
-3091, 2359, 3267, 5925, 5686, 5715, 5853, 3082, 5659, 3272, 2720,
-6084, 3182, 5728, 6120, 2318, 5270, 3201, 6151, 2928, 5488, 5902,
-5779, 2351, 6043, 5658, 6137, 5075, 2819, 2258, 5919, 6053, 6092,
-5082, 3225, 2326, 3250, 6072, 2366, 3072, 3271, 134, 5404,  5874,
-5975, 3147, 5841, 5512, 3244, 5718, 5080, 2200, 6106, 3090, 2341,
-5922, 5683, 5998, 2264, 5706, 2350, 4861, 2829, 6132, 2358, 5065,
-5817,  133,  5623,  6008, 5700, 2253, 3208, 250, 5914, 6048, 261,
-3249, 2241, 6078, 2201, 5359, 5904, 2312, 5655, 2599, 4863, 5796,
-6136, 5933, 5622, 5502, 5294, 5809, 3243, 3266, 3207, 5517, 2340,
-5249, 294, 6056, 3235, 2233, 5467, 5772, 6036, 5876, 5578,  5838,
-5509, 3137, 6116, 6003, 5695, 5946, 3155, 2136, 5298, 5898, 4424,
-2261, 5703, 5221, 4855, 5577, 302, 6131, 3081, 5439, 5764,  6028,
-2349,  5284, 132, 6088, 3265, 3014, 5050, 2322, 6011, 2927, 5299,
-2247, 5870, 5901, 5991, 3005, 4641, 6042, 5685, 5793, 5619, 5499,
-5714, 6111, 2357, 5936, 3089, 5918, 2709, 5679, 5487, 5893, 3181,
-3206, 5736, 3242, 6071, 4205, 4643, 2305, 2224, 5873, 5983, 2339,
-5657,  131,  6115, 5840, 3200, 6083, 301, 5078, 2317, 5651, 5997,
-127, 2995, 5865, 3154, 5574, 5185, 2828, 3071, 2297, 5403,  5755,
-2719,  6087, 238, 5511, 3013, 5913, 5674, 2321, 6052, 3205, 5269,
-5079, 2199, 2214, 4635, 3264, 5682, 5834, 3127, 5795, 3146, 6110,
-5074,  5292, 3985, 3199, 2348, 2257, 118, 5484, 5699, 6105, 5029,
-5646, 2071, 3191, 5921, 3224, 6130, 5140, 2240, 5887, 6035, 5358,
-5654, 2588, 5837, 5974, 4862, 5621, 6082, 6007, 5501, 2134, 5293,
-2316, 6047, 2347, 5897, 126, 5466, 5789, 6077, 5001, 5615,  3241,
-2311, 5829, 5495, 4860, 2232, 5932, 5859, 2338, 5064, 6027, 5282,
-2288, 5508, 2252, 6051, 5730, 5694, 4845, 2135, 5297, 5869, 3088,
-272,  5990, 3004, 5668, 5438, 3153, 5792, 2598, 3240, 3145, 5576,
-6002, 2337, 5283, 2197, 6104, 5892, 5570, 4421, 3198, 5516, 5784,
-5248, 5610, 4204, 3061, 3263, 5982, 5640, 3080, 3152, 2278, 3012,
-5618, 293, 6006, 5498, 6046, 5720, 4625, 5463, 300,  5678,  2926,
-4423, 6076, 5864, 5486, 5900, 2310, 6041, 6109, 5220, 4965, 4854,
-5931, 2917, 4642, 3262, 2223, 5823, 5480, 2718, 5727, 5917, 5049,
-5565, 5267, 5077, 3234, 2246, 5435, 5650, 6070, 5833, 2994, 4640,
-2304, 4830, 5402, 5872, 5573, 6081, 3011, 5072, 3239, 3984, 2315,
-5852,  6001, 125, 3171, 2336, 3765, 2005, 4415, 5673, 3180, 5996,
-283, 4920, 5268, 3087, 5886, 2907, 2213, 3079, 2827, 5778,  5973,
-3126, 5604, 2296, 3151, 5475, 5073, 5291, 5717, 2818, 5912, 2925,
-5788, 117, 5483, 3197, 5645, 5357, 249, 6040, 5705,  5828,  4858,
-3238,  3086,  5184, 5858, 5633, 5062, 292, 2193, 3261, 6103, 299,
-124, 5916, 5510, 2133, 3190, 2198, 6069, 5465, 4634, 2597,  2303,
-5399, 5559, 3196, 5614, 6034, 3150, 5494, 5836, 4859, 6045, 2808,
-5063, 5281, 5816, 5459, 2131, 6075, 226, 5896, 2309, 5028,  5995,
-2260, 5783, 5246, 2070, 3144, 5139, 2239, 4610, 2826, 5667, 5437,
-3260, 4809, 2295, 3545, 6026, 3136, 2188, 6102, 2287, 5911, 5500,
-3233, 5808, 5431, 2984, 2196, 5868, 5354, 5569, 5989, 5702, 3003,
-5000, 5218, 4852, 5247, 5609, 5791, 6000, 2916, 3060, 2231, 3085,
-5639, 5289, 5771, 5822, 5597, 4781, 4405, 5454, 5507, 6074, 5047,
-5891, 2308, 4844, 260, 5296, 123, 3078, 5462, 4201,  4422,  4638,
-6033,  5684, 5981, 5219, 3195, 4853, 2277, 5713, 5851, 106, 2924,
-5763, 5589, 3232, 5479, 3764, 5895, 5426, 6039, 282, 4420,  5048,
-5863, 5564, 5266, 4203, 3084, 5434, 5777, 5552, 4639, 6025, 5656,
-5279, 3143, 5401, 2286, 2717, 4390, 5071, 5497, 2817, 5726, 6068,
-2182,  3170, 3010, 4624, 2708, 2302, 5395, 5867, 237, 5988, 3002,
-5485, 5832, 3194, 4964, 5182, 4589, 2906, 3070, 5069, 3981, 2222,
-5544,  5603, 2923, 5994, 2256, 4745, 5474, 5890, 6038, 5076, 271,
-2825, 5448, 3009, 4195, 4632, 2294, 5681, 5885, 5980, 291,  5356,
-4829, 2276, 5972, 4857, 5910, 4561, 5183, 3983, 5632, 5061, 5815,
-2192, 5716, 5754, 5350, 6067, 5698, 2698, 2004, 5026, 4414, 2068,
-2301,  5390, 5862, 5787, 4919, 5137, 3231, 5827, 122, 5420, 3116,
-2212, 4633, 5653, 5857, 3544, 5059, 5398, 5558, 3125, 4700, 2716,
-5620, 5993, 2251, 3189, 5290, 2807, 5807, 5264, 5458, 2130, 6032,
-1939, 2824, 116, 5482, 4998, 5027, 5831, 2293, 5245, 2069,  2596,
-5138,  121, 2127, 3077, 5770, 3975, 3142, 2587, 2255, 5535, 2187,
-5345, 5693, 4842, 2132, 3223, 5782, 2175, 2922, 5430, 2983, 6024,
-5884, 5464, 5275, 3008, 5353, 4999, 2285, 5217, 5971, 4851, 5575,
-5493, 3135, 5762, 4525, 5288, 3188, 5280, 5596, 3141, 5987, 3001,
-5453, 4418, 6031, 5786, 5046, 5701, 5826, 4843, 2896, 2167, 4849,
-6066, 4609, 2915, 2300, 4637, 5384, 5856, 2122, 5436, 4808, 2577,
-5617,  5821, 5889, 2250, 5044, 105, 4185, 4622, 5588, 2707, 5677,
-5979, 2195, 5425, 3007, 2245, 2275, 6023, 4419, 3050, 2595, 4962,
-3230,  2284, 5413, 4202, 2823, 3059, 4480, 5712, 120, 5850, 2292,
-5551, 4780, 5278, 4404, 5861, 3761, 5986, 3000, 3179, 5781, 5243,
-2181, 4369, 4623, 5649, 5461, 5339, 5394, 4200, 2993, 4827, 2715,
-5572, 5776, 3229, 4963, 3134, 5181, 2797, 3076, 5260, 5068, 2816,
-5543, 5753, 5478, 3763, 4170, 2002, 3140, 4412, 5672, 5978, 4917,
-3187, 2274, 5265, 5215, 214, 3105, 3965, 5447, 4341,  2914,  119,
-2158,  4631, 6030, 5433, 281, 3069, 5820, 4828, 5400, 4389, 5070,
-3075, 3222, 3982, 2116, 5883, 3169, 5349, 115, 2244, 2697,  2003,
-5025, 5644, 4413, 5970, 2067, 4629, 5389, 5680, 4918, 2714, 5136,
-2921, 4588, 5419, 3115, 5711, 290, 5377, 5849, 6022, 3980,  5255,
-2586,  5058, 5814, 2283, 3139, 3755, 4744, 5473, 5697, 5825, 259,
-5023, 2065, 5263, 5855, 2148, 5055, 4194, 5985, 2238, 225,  3950,
-4997, 5613, 5775, 5355, 2249, 5652, 3541, 4856, 2822, 4560, 3228,
-2126, 2291, 5060, 5369, 2815, 3221, 2191, 5806, 5534, 5882, 2594,
-5344, 4995, 5969, 4841, 2174, 4149, 4607, 5179, 5332, 5666, 5977,
-2230, 5274, 3068, 4806, 4305, 3543, 5769, 5397, 2273, 4699, 5506,
-202,  5780,  5239, 289, 5692, 3074, 5457, 4839, 2129, 2194, 1938,
-5854, 5568, 3039, 4417, 3186, 5244, 248, 5608, 2895,  2166,  280,
-4848, 3227, 2920, 4608, 5324, 5638, 3974, 5383, 2121, 4778, 5813,
-4807, 5761, 4402, 2713, 2576, 2186, 5696, 2109, 5211, 2061, 2593,
-2973, 5043, 2913, 4621, 5134, 5429, 2237, 4198, 2982, 4260, 5819,
-5352, 3185, 3049, 3535, 5216, 4961, 4850, 5412, 5040, 5616, 3929,
-6021, 5496, 3073, 5234, 4524, 5287, 2243, 2282, 2687, 5805, 4779,
-4403, 5452, 4619, 2706, 5676, 5045, 2101, 5563, 3220, 5242, 3133,
-5848, 4959, 2919, 2999, 2229, 5338, 4199, 4636, 5768, 5968, 4826,
-2221, 3745, 4387, 3178, 2796, 5259, 5691, 2821, 5206, 4835,  104,
-4184, 3168, 2281, 3762, 2912, 2001, 5774, 5424, 4411, 5648, 2992,
-4916, 5818, 4824, 5214, 1873, 3104, 4586, 5571, 2814, 2905, 5976,
-2998, 5035, 2157, 3978, 4479, 2272, 5315, 5760, 5602, 5277, 4742,
-2242, 5752, 3760, 4388, 1999, 4409, 5671, 2115, 5175, 4914, 4192,
-2180, 4368, 3067, 5847, 5393, 2592, 2211, 4628, 3124, 3730, 3184,
-4121, 4558, 5180, 4587, 5631, 3177, 2820, 5376, 5067, 2190, 3979,
-5254, 2712, 2271, 4615, 4169, 2705, 5675, 4743, 5481, 5773, 5228,
-5022, 5643, 2064, 2092, 3964, 5446, 2147, 5054, 4340, 4193, 5812,
-4630,  2813,  2566, 2220, 5557, 4697, 3132, 2585, 5019, 94, 3901,
-4559, 2806, 5368, 5130, 2236, 2128, 2711, 5170, 1936, 5348,  288,
-5647,  3525, 236, 5024, 2991, 3219, 2066, 5388, 5200, 4820, 4994,
-5612, 3183, 5135, 2911, 5492, 4606, 5178, 5418, 5331, 3114, 3972,
-5804, 5967, 4805, 2997, 3542, 5057, 2185, 5751, 4698, 3754, 4991,
-1995, 1807, 2962, 5238, 5670, 2082, 2228, 5262, 4838, 279,  5767,
-1937, 3949, 4604, 2210, 3038, 4996, 5665, 5811, 3218, 3123, 4803,
-3540, 5690, 5846, 5014, 2056, 4085, 2125, 5323, 4522, 5286, 3973,
-5595,  5966, 4777, 5125, 4401, 3709, 2235, 2270, 114, 3176, 5343,
-2108, 5210, 5642, 2060, 3510, 5567, 2972, 4840, 2173, 5607, 4148,
-5133, 4197, 5759, 3058, 2591, 2996, 5273, 4304, 5637, 5803, 2584,
-4775, 4399, 5039, 2812, 4986, 103, 5233, 4182, 4523, 5587,  2686,
-2227,  4618, 190, 5460, 5766, 2885, 4416, 2100, 5611, 5491, 5164,
-2894, 2165, 4958, 4847, 4040, 4477, 3066, 5550, 2590, 5382, 3028,
-2120,  5276, 2704, 3131, 287, 5477, 3758, 4386, 4955, 3865, 5042,
-5205, 4834, 5562, 2179, 4183, 4366, 4620, 2219, 4600, 5664, 4259,
-5432,  5758, 5193, 4799, 3048, 3534, 4960, 4823, 3217, 213, 4585,
-5411, 3928, 4384, 5066, 5034, 3977, 4478, 5810, 5542, 5314, 4167,
-3130,  2710, 4741, 2990, 270, 5008, 3759, 2050, 1998, 5566, 4408,
-5241, 5119, 5174, 5606, 4913, 3962, 2234, 4338, 4191, 3057, 4367,
-4583, 5337, 2904, 5636, 3489, 5750, 2786, 4825, 3744, 4771, 1990,
-4395, 5601, 2703, 5669, 2910, 4557, 4739, 2795, 5472, 4910, 3820,
-5258, 5802, 4950, 3681, 2209, 4614, 2696, 4168, 2000, 3175, 4189,
-4410, 247, 4980, 2218, 5227, 4915, 3216, 5213, 2091, 1872,  3103,
-2226, 3113, 3963, 4339, 5765, 4555, 2156, 2565, 5630, 5056, 2589,
-4696, 113, 5476, 3752, 5018, 5641, 93, 2811,  2989,  4815,  2114,
-5129, 5561, 5261, 3645, 5169, 1935, 3947, 3174, 2583, 4627, 5199,
-3538, 4819, 5396, 5556, 5749, 5157, 3729, 82, 4694,  4120,  4380,
-2124,  3065, 3971, 5375, 5757, 4905, 2805, 5253, 5533, 5456, 258,
-3753, 4990, 2208, 3129, 1994, 1933, 201, 2961, 3122, 5021,  2172,
-2063, 2081, 4146, 4579, 2146, 5053, 2903, 5272, 3948, 4603, 4302,
-3969, 178, 4802, 5600, 3539, 5149, 4735, 112, 5471,  3900,  5013,
-3064, 2055, 2909, 4521, 5367, 4595, 5124, 2702, 5663, 5428, 2874,
-2043, 2981, 3524, 5351, 2582, 4944, 5112, 4993, 278, 2164,  4846,
-4147, 4605, 4551, 5177, 5330, 2217, 5629, 2119, 3461, 4804, 4303,
-4519, 2189, 2575, 5594, 4774, 3128, 4398, 5451, 1806, 5237, 4985,
-5605,  5041, 5801, 4181, 3056, 4837, 5635, 4257, 4973, 1741, 224,
-2035, 3037, 2884, 2951, 3047, 3532, 3173, 5555, 5104, 4690, 2225,
-5163, 3926, 2908, 4476, 4084, 5322, 2804, 3425, 3027, 4776, 5748,
-5455, 102, 4179, 4400, 3708, 5586, 1984, 3757, 1929, 5662,  5423,
-4794, 2107, 4899, 5209, 4954, 5240, 2059, 3509, 2810, 2971, 4365,
-5132, 2207, 4196, 4599, 2775, 4258, 4474, 3121, 3742, 5192, 4798,
-5549,  3533, 2184, 277, 5038, 5560, 5257, 2676, 3927, 4383, 5756,
-5232, 3063, 2685, 4166, 5427, 235, 111, 3600, 2980,  4363,  4617,
-5007, 5634, 2049, 5392, 3172, 4766, 2099, 5212, 1870, 4375, 3102,
-5118, 3961, 4957, 4337, 2155, 4039, 4582, 4515, 3167, 2581, 5593,
-2785, 3743, 4770, 5541, 1989, 4394, 5450, 4164, 4385, 4738, 4909,
-2113, 2809, 3864, 4574, 5204, 4949, 4833, 2701, 2902, 3959, 5445,
-4335, 4188, 4626, 4979, 5599, 4937, 2026, 5470, 3727, 4118, 4822,
-1871, 4584, 5095, 2216, 5033, 4554, 3976, 3062, 5252, 5313, 4175,
-5585, 3380, 3751, 4740, 5422, 5347, 2695, 1997, 5020, 4407, 2062,
-4814, 5387, 4546, 5173, 4912, 2940, 2700, 2145, 5628, 5052, 4190,
-3946,  2988, 5417, 269, 4470, 4788, 5548, 3488, 4929, 3537, 3166,
-5156, 3728, 3898, 81, 4693, 4119, 3749, 4556, 4379,  2215,  3819,
-4904, 5747, 3680, 1977, 2178, 4359, 4613, 2901, 3522, 5391, 5554,
-1932, 3944, 4892, 2016, 4992, 5226, 5598, 4145, 4730, 2090, 2555,
-3055, 5176, 2206, 4578, 2803, 2987, 3120, 2123, 4301, 2564, 4760,
-3968, 5540, 1675, 1924, 4695, 4160, 5148, 5017, 4734, 1804, 5532,
-5236,  92,  3899,  5342, 5128, 4836, 5746, 4594, 3644, 110, 3955,
-5444, 1969, 5168, 4143, 1934, 4331, 2873, 5627, 3036, 2042, 3523,
-4884, 2183, 4299, 5198, 4943, 5111, 4818, 4082, 2205, 4550, 3970,
-2580, 3119, 2979, 4518, 3706, 5346, 2694, 4989, 1993, 2106, 5208,
-1805, 2960, 2058, 3507, 5386, 5553, 2970, 4685, 2080, 5131, 2893,
-109, 4510, 5416, 3112, 4256, 4972, 189, 5592, 2802,  4602,  2034,
-2950, 5381, 3531, 5449, 2118, 4801, 5103, 4689, 2574, 1918, 5037,
-2665, 3925, 5012, 5231, 2054, 4083, 4520, 2579, 276, 3165,  5123,
-4178, 3707, 4616, 1983, 1928, 3940, 2098, 4254, 4793, 4898, 3508,
-268, 3529, 4956, 4568, 4037, 2900, 5410, 101, 2863,  3923,  2774,
-5584, 3460, 4473, 3741, 2986, 5421, 4724, 2978, 4773, 5531, 4397,
-5341, 2675, 4984, 3862, 5203, 4832, 4180, 2171, 4139, 4465, 2699,
-5547, 4362, 1740, 1960, 5271, 5336, 2883, 4295, 5591, 4765, 4821,
-3739, 1869, 4374, 4875, 3054, 4540, 5162, 5626, 5032, 4038, 2794,
-4475, 4753, 2204, 2177, 4514, 3424, 4354, 3026, 3118, 3756, 4163,
-1996, 4406, 4953, 5172, 3863, 4911, 4573, 2892, 2163, 1867, 4364,
-3101,  3958,  4598, 5539, 4334, 3486, 108, 5380, 2985, 100, 4155,
-5191, 4936, 4797, 5583, 4679, 2025, 3726, 2573, 4117, 3053, 5094,
-3817, 2801, 4382, 2764, 5443, 3678, 2112, 4326, 4174, 4612, 4165,
-70, 2578, 3599, 1950, 5006, 4250, 5546, 5225, 2048,  3046,  2544,
-2089, 5117, 4545, 3960, 3724, 5409, 2939, 4115, 4336, 3919, 4581,
-275, 4469, 4787, 5374, 3487, 3117, 2784, 4928, 2176, 2693,  4769,
-4348,  1988,  5016, 4393, 91, 3897, 5385, 3748, 4737, 4908, 5127,
-3818, 3164, 5415, 4948, 3642, 246, 5167, 3679, 223,  1976,  4358,
-3521,  107, 5051, 5335, 4187, 4978, 3943, 4891, 5538, 5197, 2015,
-4817, 3735, 2852, 4729, 212, 2554, 2793, 3895, 4504, 5256,  4553,
-5590,  4759, 5366, 4717, 177, 1923, 3935, 5442, 3379, 3750, 4320,
-4159, 4988, 1992, 1803, 2959, 3519, 2079, 4813, 3163, 1863,  257,
-3643, 3954, 1968, 4142, 3945, 4601, 4330, 2154, 5329, 4883, 5530,
-4800, 4298, 3536, 5340, 4533, 5155, 2692, 80, 4692,  2899,  5011,
-4378,  2053,  4081, 3052, 1801, 2170, 99, 4134, 4903, 5582, 5122,
-3705, 4709, 5414, 3111, 4290, 1931, 3506, 3035, 4684, 3720, 4144,
-4111, 4577, 4459, 4509, 3458, 5373, 5545, 4079, 4300, 5321, 3967,
-4672, 5251, 1674, 4772, 4396, 3703, 1917, 2753, 5147, 2664, 4733,
-2800,  4983, 2891, 2105, 2162, 2057, 3504, 267, 1911, 4593, 5379,
-1738, 2144, 2117, 2872, 3939, 2882, 2041, 2572, 4253, 4942, 5110,
-5529, 5161, 3528, 4567, 4036, 3891, 3051, 5036, 4549, 2862, 3922,
-3422, 3025, 5365, 5537, 3459, 2169, 4517, 4664, 4128, 4245, 4723,
-2684,  3045, 3515, 4284, 4952, 200, 3861, 5408, 2097, 3914, 2977,
-1903, 4138, 4464, 4597, 3162, 5328, 4034, 4255, 4971, 1739, 1959,
-5190, 2033, 4796, 4294, 2949, 3530, 3738, 5102, 4874, 4688, 4539,
-3924, 4381, 1797, 4497, 5235, 2898, 4752, 3423, 3859, 4353, 2890,
-2161, 4831, 5334, 3597, 4177, 2691, 1982, 5005, 1927, 2047, 2654,
-5378, 256, 4792, 4897, 2571, 5116, 2792, 2976, 3110, 1866,  4580,
-4075, 5320, 3485, 2773, 5031, 2783, 4472, 3740, 4154, 4768, 1987,
-4678, 5312, 4392, 3699, 4736, 4239, 4907, 3816, 4489,  2674,  98,
-5207,  1858,  234, 245, 3500, 5581, 4947, 2969, 2763, 3677, 4325,
-5407, 2153, 3161, 69, 3908, 4186, 3598, 4977, 1949,  4361,  4249,
-3483, 4764, 2543, 1868, 4373, 3723, 4452, 2111, 4114, 4552, 3918,
-2897, 5230, 3814, 4513, 3377, 2683, 5528, 3675, 4347, 4655, 4611,
-5333,  4162,  4812, 3715, 97, 4106, 2168, 2799, 2841, 4572, 3641,
-5372, 2088, 2791, 4030, 3957, 5250, 1894, 4333, 2563, 4935, 3734,
-5154,  2024,  3725, 2851, 79, 4691, 4116, 4377, 5015, 4444, 5093,
-90, 3894, 5536, 4902, 4503, 3855, 5202, 1852, 2143,  3100,  4173,
-4716, 3934, 3378, 3639, 4319, 2152, 1930, 3518, 3886, 2889, 2160,
-4816, 4313, 1862, 4544, 4576, 2938, 5364, 2975, 2110, 3966, 4468,
-4786, 1672, 5311, 2570, 4927, 5146, 2533, 4732, 4532, 3896, 3747,
-4987, 1991, 1800, 2958, 2798, 4133, 4592, 2643, 5171, 5327, 4100,
-2078, 2690, 4708, 1975, 2871, 4357, 2040, 1884, 4289, 5371, 3520,
-3942, 3044, 4890, 3479, 4941, 5109, 2014, 1792, 5406, 3109, 3719,
-4728, 2742, 4110, 2553, 4548, 4458, 3457, 5010, 3810, 2052, 4078,
-4516, 4758, 4671, 3671, 1673, 1922, 2142, 3034, 4158, 3702, 2752,
-1802,  5224,  3503, 96, 4070, 1910, 5319, 3880, 2689, 3953, 2974,
-1967, 4970, 1737, 4141, 4329, 2032, 5363, 2948, 3694, 2562, 3455,
-4882,  4297,  5101, 4687, 2790, 2104, 3108, 89, 3495, 3890, 2968,
-4080, 3421, 4982, 4435, 5126, 5527, 4176, 4663, 3704, 4127, 3635,
-1981, 5166, 4244, 5326, 1926, 1735, 3514, 4791, 4896, 4283, 3505,
-266, 5196, 1845, 3099, 4683, 3913, 1902, 1786, 2151, 5229,  4277,
-4508,  2772, 4033, 4471, 2682, 3419, 3024, 1916, 2663, 2096, 233,
-2673, 1796, 4496, 255, 4951, 95, 4025, 3858,  5526,  3596,  4360,
-4064,  5318, 3938, 2653, 4596, 4763, 4252, 211, 4372, 3688, 2159,
-4795, 4093, 3527, 4566, 4035, 3850, 5370, 2103, 5201, 2051, 4269,
-4074, 2522, 2861, 4512, 3921, 2967, 2569, 5121, 3698, 4722, 4161,
-3594, 4238, 5004, 4488, 2046, 1857, 3860, 3499, 4571, 2141, 5030,
-4137,  3956, 4232, 4463, 3907, 4332, 5310, 188, 3043, 3451, 1958,
-4934, 4293, 2023, 2681, 3482, 2888, 265, 3737, 4767, 4873,  3873,
-1986, 5092, 4391, 4538, 4451, 5362, 3107, 2095, 4906, 4751, 3813,
-4172, 2568, 4352, 3376, 4946, 3674, 4019, 3474, 4654, 1731, 2881,
-4976, 3714, 4105, 4543, 2840, 2937, 5160, 3805, 5325, 1865, 4224,
-4029, 4467, 4785, 3666, 1893, 3844, 3484, 3042, 3415, 3023, 4926,
-4153, 4677, 2789, 3374, 3746, 1779, 5223, 4443, 3815, 2087, 3854,
-2762, 4811, 3676, 1851, 1974, 4324, 4356, 68, 2561,  3638,  3033,
-2688,  3941,  1948, 4889, 4248, 2013, 5309, 5189, 58, 3098, 2542,
-3885, 4727, 2552, 4312, 2150, 3722, 4057, 5317, 78,  3106,  4113,
-3917, 4376, 4757, 3630, 5165, 1671, 1921, 4901, 2632, 4157, 4346,
-2532, 3590, 199, 2102, 5195, 2045, 3468, 222, 2642,  5115,  3640,
-4099, 3952, 1966, 4140, 4328, 1883, 4575, 3799, 4881, 4296, 3478,
-3660, 2782, 1837, 3733, 3097, 1985, 1669, 2850, 1791, 2957, 2887,
-2741, 2149, 4731, 2077, 3893, 5222, 4502, 3809, 2680, 2086, 3670,
-4715, 3933, 4591, 2567, 4318, 2870, 2560, 2094, 2039, 3517, 4682,
-4940,  2140,  5009, 1861, 4012, 88, 4069, 3879, 4507, 4547, 5120,
-4215, 3693, 3454, 3624, 3041, 2731, 3370, 1915, 2662, 4531, 3494,
-5361, 3837, 1799, 5194, 4810, 4434, 4132, 3634, 4707, 3446, 3937,
-4288, 4251, 4969, 1734, 2031, 2947, 3526, 1844, 4565, 5153, 2886,
-3718,  2139,  4981, 77, 4686, 4109, 1785, 2956, 2860, 3920, 4457,
-4276, 3456, 5308, 4077, 2076, 4670, 3418, 4721, 1726, 176,  1771,
-2880, 3701, 2751, 1980, 1925, 2788, 5159, 4790, 4895, 3502, 4024,
-4136, 4462, 1909, 3032, 3410, 1736, 244, 4063, 1957, 2511,  4292,
-2771, 3040, 1665, 3736, 4872, 3687, 4092, 4537, 5145, 1828, 5316,
-3096, 3889, 3792, 3849, 4750, 4268, 2521, 264, 3420, 4351,  3653,
-4590,  4662,  4126,  4243, 46, 254, 5188, 2038, 3593, 3440, 2966,
-3513, 4282, 2085, 5108, 4762, 1864, 3912, 4371, 1901, 4231, 3031,
-2559,  4032,  3450, 4152, 4676, 3585, 4511, 5003, 87, 3872, 1720,
-4049, 2787, 2879, 1795, 4495, 5114, 2761, 2679, 4323, 3617, 3857,
-5158,  4570,  67, 3595, 4018, 1947, 3473, 4247, 2093, 1730, 2781,
-2652, 2030, 3404, 232, 2965, 2946, 2541, 4933, 5100, 2022,  1818,
-3095, 3721, 4112, 3804, 3916, 4223, 2138, 4945, 4073, 3665, 3843,
-3414, 4345, 4171, 3697, 4975, 1979, 3373, 1778, 221, 4237,  3829,
-5187,  4789, 4487, 2075, 1856, 3498, 2678, 4542, 3906, 2936, 253,
-3365, 4466, 3732, 4784, 57, 2849, 3481, 4925, 3579,  4004,  5002,
-3892, 4450, 2044, 4056, 4501, 2672, 5307, 3629, 3812, 5113, 4714,
-2631, 3932, 3375, 4317, 3673, 1973, 3589, 4653, 4355, 3516, 3467,
-1762,  5152,  2780, 4888, 3713, 4761, 76, 2012, 4104, 1860, 4370,
-2839, 4726, 263, 4900, 4028, 3433, 3798, 1892, 3030, 3659,  4756,
-1836, 4530, 1668, 1920, 4156, 3784, 4974, 1798, 4442, 4131, 2621,
-5306, 3853, 4569, 1850, 4706, 4287, 1713, 3637, 3951, 1965, 2878,
-1660, 4327, 2084, 5144, 4880, 2021, 3359, 3717, 2964, 3884, 4108,
-4311, 4011, 4456, 5091, 2558, 4076, 3397, 3022, 4669, 4214, 1670,
-2869,  3623,  86, 3700, 2730, 3369, 2750, 2531, 1752, 4939, 5107,
-3836, 3501, 3609, 5151, 1908, 2641, 4541, 4681, 4098, 187,  2935,
-3445, 1882, 4506, 3029, 5186, 4783, 3477, 2083, 1790, 3888, 2740,
-1914, 2661, 3995, 2557, 3808, 4661, 4125, 3669, 4242, 3572, 4968,
-1725,  1972,  85,  1770, 2955, 243, 3512, 4281, 3936, 2074, 5099,
-2011, 1654, 2963, 3911, 2610, 5143, 1900, 4725, 2551, 4068, 3878,
-4564, 4031, 3409, 2510, 2859, 2779, 3692, 4755, 3453, 1978, 1664,
-1919, 2868, 4720, 2037, 1827, 4894, 1794, 4494, 3493, 3791, 4938,
-5106, 3856, 4433, 3652, 2677, 3633, 2770, 1964, 4135, 4461, 2651,
-45, 2954, 3439, 1733, 1956, 2073, 4291, 1843, 2671,  4871,  2500,
-1784, 4536, 4072, 4275, 4749, 3352, 3584, 3696, 3417, 4350, 4236,
-4967, 1719, 2029, 4048, 4486, 1855, 2945, 3497, 3775, 5098, 4680,
-3616,  4023, 1705, 3905, 210, 4505, 4062, 3403, 3480, 5150, 4151,
-3686, 75, 4675, 4091, 1817, 4449, 1913, 252,  3848,  3389,  3021,
-4893,  4267,  3811, 2520, 2556, 2760, 3672, 4322, 4652, 66, 4932,
-2769, 3592, 84, 1946, 3828, 3712, 4246, 4103, 2838,  5090,  2540,
-4563, 4027, 1696, 4230, 2670, 1891, 2877, 2858, 3915, 3449, 1647,
-3364, 5142, 4719, 3578, 3871, 4344, 4003, 4441, 2489, 3020, 3852,
-1849, 2934, 3564, 3636, 2867, 4460, 4017, 2036, 3472, 1729, 4924,
-1955, 1761, 2953, 5105, 3883, 3731, 4310, 2072, 2848, 4535, 3803,
-4222,  3432, 2778, 3664, 175, 4748, 3842, 4500, 1971, 3413, 4349,
-2530, 4713, 3931, 4887, 3372, 83, 1777, 4316, 3783,  4931,  2020,
-2620, 2550, 2640, 4097, 3555, 5089, 1859, 1881, 4966, 1712, 2028,
-1659, 220, 3476, 4150, 56, 5097, 4674, 1789,  3358,  2739,  4529,
-4055,  3807, 3396, 198, 3628, 3344, 2759, 3668, 1963, 4130, 2630,
-4321, 231, 65, 4705, 3588, 4879, 1945, 4286,  4782,  1751,  2952,
-3466,  4923, 3608, 251, 4067, 3877, 3716, 4107, 2768, 3797, 4455,
-3691, 34, 3452, 2876, 3658, 74, 4668,  1835,  4343,  1667,  3492,
-2669, 2749, 4886, 2010, 3994, 4432, 3335, 3019, 3632, 2549, 3571,
-1907, 1732, 4754, 1842, 1653, 1912, 2660, 2847, 2609, 1783, 4010,
-4274,  3887,  4499, 1639, 4213, 3416, 5141, 4712, 3622, 3930, 73,
-4660, 2729, 4124, 3368, 4315, 4241, 4878, 3511, 3835, 4280, 4562,
-4022,  209,  242, 3910, 4061, 3444, 1899, 1686, 4930, 2875, 2019,
-3685, 4090, 4528, 5088, 3847, 2499, 4266, 2519, 1793, 4493, 1630,
-4129, 3018, 3351, 2777, 1724, 4704, 1954, 1769, 3591, 4285, 2650,
-4870, 3774, 4534, 219, 2659, 4229, 2866, 1704, 2027, 4454,  3408,
-2944, 3448, 2509, 4071, 4922, 5096, 4667, 1663, 3870, 3695, 2748,
-1826, 3790, 4235, 3388, 4485, 1854, 3651, 3496, 1970, 4016, 1906,
-3471,  2478,  1728, 44, 2857, 3904, 4885, 3438, 2009, 4718, 2548,
-3802, 4221, 2767, 1695, 241, 4448, 3663, 3841, 2943, 3412,  1646,
-64,  2776,  3583, 4659, 4123, 1944, 3371, 4240, 1776, 2668, 1718,
-72, 4651, 4047, 2539, 4279, 2488, 3711, 4869, 4102,  3615,  3563,
-3909,  1962,  2837, 1898, 4026, 4747, 4877, 3402, 55, 1890, 4342,
-1816, 4054, 197, 4492, 4440, 3627, 2629, 3851, 1848, 1620,  3587,
-2667, 3465, 2649, 3827, 2846, 4673, 3882, 3554, 4498, 4309, 3796,
-2865, 2018, 2758, 3657, 3363, 1834, 4314, 1666, 63,  2658,  5087,
-3577,  71,  2529, 4002, 4234, 4484, 1853, 2538, 3343, 2639, 4096,
-3903, 1880, 1760, 4527, 3475, 2933, 4009, 1788, 4447, 2856, 2738,
-3431,  4212,  4921,  33,  3806, 2017, 3621, 22, 2942, 2728, 3367,
-3667, 5086, 4650, 3782, 3834, 3710, 2619, 4101, 230, 2836,  3334,
-4453, 3443, 4066, 3876, 1711, 2864, 1953, 2008, 1889, 1658, 3690,
-4711, 4868, 2747, 2547, 3357, 2932, 4439, 3491, 4746, 3395, 1638,
-1905,  2766, 4431, 1847, 1723, 1768, 3631, 1750, 186, 3607, 3881,
-1961, 1841, 4308, 3407, 2508, 1782, 4876, 1685, 4273, 2007, 4122,
-2941, 1662, 4703, 2546, 2528, 1825, 4278, 3789, 3993, 2757, 3650,
-1629, 1897, 2638, 4095, 4021, 3570, 43, 1943, 3437,  1879,  4060,
-4666,  2537, 1652, 2608, 3684, 1787, 4491, 229, 4089, 2737, 3846,
-2765, 4265, 2518, 3582, 1904, 2657, 240, 1717, 4046, 2666,  3614,
-4065, 3875, 2477, 4228, 3401, 3689, 3447, 4658, 2845, 1815, 4233,
-4483, 208, 3869, 3490, 2931, 2498, 4430, 4710, 3902, 3350,  1896,
-2656, 4015, 3826, 3470, 1727, 3773, 1840, 4446, 1703, 1781, 1952,
-3801, 4272, 4220, 3362, 3662, 3840, 4867, 3411, 2006, 4526, 3576,
-4001, 2648, 2545, 2855, 1775, 3387, 2835, 4020, 4702, 1619, 1888,
-4059, 1759, 3683, 54, 4088, 4438, 2930, 3430, 1694,  3845,  1951,
-4053, 1846, 4264, 2517, 4665, 1645, 3626, 4866, 2628, 2746, 3781,
-3586, 2756, 2618, 2487, 3464, 4307, 62, 3562, 1710,  1942,  4227,
-1657,  3795,  2536, 239, 3356, 3656, 1833, 4649, 3868, 174, 3394,
-2637, 4094, 4657, 2834, 21, 1878, 4014, 3469,  1749,  1887,  185,
-196,  3606,  2736,  61, 3553, 3800, 1941, 4008, 4219, 3661, 3839,
-207, 2535, 4211, 3620, 2727, 3366, 1774, 4490, 3992, 2854,  3833,
-3874,  3342,  4306, 3569, 2647, 3442, 1651, 53, 2607, 2527, 4052,
-4429, 32, 3625, 228, 2844, 2627, 1722, 1877,  2655,  1767,  4482,
-1839, 3463, 4701, 1780, 3333, 4271, 2735, 3794, 3406, 2507, 3655,
-1832, 1661, 4445, 2497, 1824, 2853, 3788, 1637, 3349, 3649, 4058,
-2745,  4648,  42,  3682, 3436, 4087, 3772, 218, 2755, 1702, 4007,
-4263, 2516, 60, 1684, 1940, 4210, 3619, 3581, 2726,  2534,  4437,
-3386,  1716, 4045, 3832, 4656, 1838, 1628, 4226, 3613, 195, 3441,
-4270, 3400, 3867, 1895, 1693, 1814, 1644, 4013, 2526, 1721, 1766,
-2843,  2486,  3825, 2636, 2754, 4086, 3561, 4218, 59, 2646, 3838,
-2476, 3405, 4262, 227, 2506, 3361, 173, 1773,  217,  3575,  1823,
-4000,  3787,  3648,  4225,  41, 4481, 52, 3435, 1758, 4051, 3866,
-3552, 2645, 2626, 3429, 3580, 2842, 3462, 1715, 4044, 3780, 4428,
-3341, 2617, 3612, 4647, 3793, 1618, 4217, 1709, 3654, 2744, 1831,
-3399, 1656, 206, 3355, 1813, 1772, 1886, 31,  3393,  4436,  3824,
-1748,  51,  4006, 3332, 3605, 4646, 4050, 4209, 3618, 2725, 3360,
-2625, 2833, 3574, 3999, 3831, 1885, 2515, 1636, 3991,  2525,  20,
-3568,  2743, 1757, 2635, 1830, 1650, 1876, 2606, 1683, 3428, 184,
-1765, 2734, 3779, 1627, 2616, 2524, 4005, 2505, 1708, 1655, 4208,
-2634,  1822,  2724, 3354, 3786, 1875, 3647, 3830, 2496, 3392, 40,
-3348, 3434, 194, 1747, 4427, 3604, 3771, 2475,  1701,  2644,  50,
-1714,  4043, 1764, 2832, 3990, 3611, 3385, 216, 3567, 3398, 2504,
-4426, 1812, 1649, 2605, 1821, 3785, 1692, 3646, 1829, 1643, 3823,
-39,  4261,  2514,  2485, 1617, 3560, 2523, 3573, 3998, 2831, 183,
-4042, 2495, 1874, 3610, 2723, 3347, 1756, 2733, 2513, 3770, 1811,
-3427,  1700,  3551, 3778, 4216, 2615, 3822, 3384, 19, 1707, 3340,
-1763, 172, 3353, 2633, 3997, 3391, 1691,  215,  1642,  30,  1820,
-1746,  2732,  3603, 1755, 2484, 2624, 3559, 3331, 38, 3426, 3989,
-3777, 2614, 49, 3566, 1635, 1706, 4041, 1648, 2604,  2623,  2512,
-3550,  3390, 1682, 1810, 1745, 4207, 3602, 205, 3339, 1626, 3821,
-2494, 3988, 3346, 29, 3565, 3996, 3769, 4206,  171,  1699,  2603,
-193,  3330,  2474,  1754, 3383, 2503, 1634, 48, 3776, 2613, 1690,
-37, 182, 2493, 1641, 1681, 3345, 2483, 2502,  3558,  3768,  1625,
-1698,  1819,  1616, 1744, 3601, 3382, 47, 3987, 3549, 2622, 1689,
-2722, 2473, 1640, 2602, 3338, 2482, 3557,  1809,  18,  28,  1753,
-2492,  3329,  2501,  3548, 2721, 1615, 204, 3767, 1697, 1633, 36,
-3337, 3381, 1680, 1743, 27, 2612,  1688,  1624,  170,  3328,  17,
-1808,  2481,  3556, 35, 1632, 2601, 2472, 1679, 3986, 3547, 1623,
-192, 203, 3336, 3766, 181, 26,  1614,  2471,  2491,  3327,  1742,
-1687,  1631,  2480,  2611,  1678, 16, 1613, 180, 1622, 191, 3546,
-2490, 2470, 15, 2600, 25, 3326, 169, 24, 1612, 2479, 1677,  1621,
-1676, 14, 168, 2469, 2468, 1611, 23, 1610, 13, 179, 12, 167, 11
-};
+short values[] = {
+    166,  322,  165,  310,  164,  2467, 154,  2466, 163,  3325, 321,  162,
+    3324, 2464, 2401, 161,  2465, 3314, 160,  2461, 159,  2400, 320,  3323,
+    153,  2457, 6185, 2463, 3303, 2452, 158,  3322, 157,  298,  2460, 2446,
+    152,  3292, 156,  2398, 3321, 2462, 5965, 155,  6184, 309,  2456, 3320,
+    2439, 3313, 2395, 2459, 2431, 2335, 2451, 6181, 3319, 3281, 2422, 151,
+    2391, 2445, 6183, 2399, 2455, 319,  3291, 2412, 5964, 6175, 2386, 3318,
+    5745, 150,  2450, 6180, 3312, 3317, 297,  6165, 2458, 2438, 5961, 2430,
+    2380, 142,  2444, 3311, 308,  3316, 318,  286,  149,  6150, 5963, 6174,
+    3259, 5525, 3315, 2421, 2397, 2454, 5955, 148,  6182, 2373, 3302, 6164,
+    2437, 5960, 2411, 5744, 2449, 2365, 3310, 5945, 6178, 2429, 6129, 2334,
+    2394, 2453, 6179, 6101, 147,  141,  3309, 6149, 5741, 2448, 2356, 2443,
+    3215, 2269, 5930, 2420, 2396, 5954, 3290, 3248, 3280, 2346, 6065, 6172,
+    2390, 2410, 3308, 317,  146,  6173, 2442, 5944, 3258, 6128, 3270, 2393,
+    6020, 3301, 6162, 145,  3289, 5735, 2436, 2385, 5958, 2447, 6100, 5909,
+    2333, 6169, 6163, 2428, 2332, 5881, 5725, 6177, 316,  5929, 3307, 3300,
+    6159, 144,  2435, 6147, 3204, 285,  3306, 2379, 6064, 2441, 2389, 6148,
+    2427, 5524, 2329, 2419, 307,  143,  5845, 3288, 5952, 3214, 3257, 2268,
+    6019, 5710, 5962, 3160, 2440, 6144, 2384, 2409, 5305, 5908, 3269, 5800,
+    3305, 3287, 6171, 5942, 5521, 3299, 6126, 2418, 5743, 2392, 6155, 5880,
+    2372, 2434, 5949, 6176, 6127, 6098, 5959, 3304, 2331, 6161, 2364, 2426,
+    315,  2325, 2408, 3298, 3094, 6099, 2378, 5689, 140,  2433, 6168, 5939,
+    3286, 6123, 5740, 5927, 306,  5661, 5844, 6140, 2425, 3213, 2320, 130,
+    6095, 3279, 2328, 6062, 6158, 2355, 5515, 2417, 2388, 6146, 5085, 5304,
+    2267, 5799, 3297, 6063, 3149, 6170, 6135, 274,  2432, 5953, 5924, 5523,
+    6017, 3247, 2371, 2345, 5625, 2407, 5505, 2416, 2383, 3285, 2424, 3278,
+    6018, 5906, 2314, 6059, 5742, 3159, 5935, 6160, 2363, 6119, 5734, 2387,
+    6143, 5943, 3237, 3284, 296,  5878, 5580, 6167, 2406, 3256, 6091, 3017,
+    5520, 2324, 6125, 6014, 5957, 6154, 3083, 3296, 6114, 5724, 2382, 314,
+    5490, 5903, 2415, 6097, 5739, 2377, 139,  6157, 3295, 2354, 5920, 6086,
+    6145, 5084, 2319, 5738, 2423, 129,  3093, 5928, 2307, 3283, 5875, 5842,
+    3212, 3277, 6122, 2405, 2266, 6055, 3203, 3246, 313,  2344, 2299, 305,
+    6139, 5915, 2203, 6108, 3282, 5709, 6094, 2376, 5522, 3158, 5797, 138,
+    6061, 3255, 3294, 5514, 6010, 6142, 3276, 5951, 6050, 3193, 5303, 5469,
+    6080, 284,  2414, 2370, 2313, 5839, 4865, 2381, 6134, 262,  5899, 2263,
+    5733, 6124, 5956, 6016, 6153, 3236, 5441, 5907, 2413, 3254, 2362, 3293,
+    2290, 5504, 6005, 5732, 5941, 5301, 5871, 2404, 3006, 6096, 5519, 5794,
+    6058, 2330, 6166, 304,  5879, 6118, 5894, 5948, 5723, 2929, 3092, 3275,
+    5688, 2403, 2369, 6044, 2280, 5722, 6090, 6121, 2375, 3016, 5866, 137,
+    3202, 6013, 5737, 6073, 4645, 5660, 6156, 2306, 5405, 2361, 6138, 312,
+    2353, 6113, 5729, 5938, 3253, 5081, 5489, 6093, 5999, 2265, 5835, 2327,
+    5926, 6060, 3211, 2830, 2298, 5843, 2259, 6085, 5950, 2374, 5083, 3226,
+    136,  273,  128,  5888, 5360, 5708, 2402, 4864, 2343, 6133, 5295, 5719,
+    5513, 5790, 6054, 6015, 5707, 5830, 3192, 5302, 3157, 3274, 5860, 3210,
+    6037, 5798, 5624, 2352, 3148, 2254, 6141, 5940, 2137, 2202, 2368, 6107,
+    2262, 311,  5923, 6057, 3268, 3273, 6029, 5285, 6117, 2289, 5947, 6009,
+    5503, 5518, 5785, 5731, 3252, 6049, 3245, 5468, 6152, 2360, 6079, 5992,
+    303,  5579, 5905, 135,  2342, 3138, 5934, 6089, 3015, 2323, 2367, 6012,
+    5704, 3251, 3156, 295,  2918, 4644, 5440, 5687, 5984, 5824, 5877, 2279,
+    6112, 3209, 5937, 6004, 5721, 5300, 2248, 4425, 3091, 2359, 3267, 5925,
+    5686, 5715, 5853, 3082, 5659, 3272, 2720, 6084, 3182, 5728, 6120, 2318,
+    5270, 3201, 6151, 2928, 5488, 5902, 5779, 2351, 6043, 5658, 6137, 5075,
+    2819, 2258, 5919, 6053, 6092, 5082, 3225, 2326, 3250, 6072, 2366, 3072,
+    3271, 134,  5404, 5874, 5975, 3147, 5841, 5512, 3244, 5718, 5080, 2200,
+    6106, 3090, 2341, 5922, 5683, 5998, 2264, 5706, 2350, 4861, 2829, 6132,
+    2358, 5065, 5817, 133,  5623, 6008, 5700, 2253, 3208, 250,  5914, 6048,
+    261,  3249, 2241, 6078, 2201, 5359, 5904, 2312, 5655, 2599, 4863, 5796,
+    6136, 5933, 5622, 5502, 5294, 5809, 3243, 3266, 3207, 5517, 2340, 5249,
+    294,  6056, 3235, 2233, 5467, 5772, 6036, 5876, 5578, 5838, 5509, 3137,
+    6116, 6003, 5695, 5946, 3155, 2136, 5298, 5898, 4424, 2261, 5703, 5221,
+    4855, 5577, 302,  6131, 3081, 5439, 5764, 6028, 2349, 5284, 132,  6088,
+    3265, 3014, 5050, 2322, 6011, 2927, 5299, 2247, 5870, 5901, 5991, 3005,
+    4641, 6042, 5685, 5793, 5619, 5499, 5714, 6111, 2357, 5936, 3089, 5918,
+    2709, 5679, 5487, 5893, 3181, 3206, 5736, 3242, 6071, 4205, 4643, 2305,
+    2224, 5873, 5983, 2339, 5657, 131,  6115, 5840, 3200, 6083, 301,  5078,
+    2317, 5651, 5997, 127,  2995, 5865, 3154, 5574, 5185, 2828, 3071, 2297,
+    5403, 5755, 2719, 6087, 238,  5511, 3013, 5913, 5674, 2321, 6052, 3205,
+    5269, 5079, 2199, 2214, 4635, 3264, 5682, 5834, 3127, 5795, 3146, 6110,
+    5074, 5292, 3985, 3199, 2348, 2257, 118,  5484, 5699, 6105, 5029, 5646,
+    2071, 3191, 5921, 3224, 6130, 5140, 2240, 5887, 6035, 5358, 5654, 2588,
+    5837, 5974, 4862, 5621, 6082, 6007, 5501, 2134, 5293, 2316, 6047, 2347,
+    5897, 126,  5466, 5789, 6077, 5001, 5615, 3241, 2311, 5829, 5495, 4860,
+    2232, 5932, 5859, 2338, 5064, 6027, 5282, 2288, 5508, 2252, 6051, 5730,
+    5694, 4845, 2135, 5297, 5869, 3088, 272,  5990, 3004, 5668, 5438, 3153,
+    5792, 2598, 3240, 3145, 5576, 6002, 2337, 5283, 2197, 6104, 5892, 5570,
+    4421, 3198, 5516, 5784, 5248, 5610, 4204, 3061, 3263, 5982, 5640, 3080,
+    3152, 2278, 3012, 5618, 293,  6006, 5498, 6046, 5720, 4625, 5463, 300,
+    5678, 2926, 4423, 6076, 5864, 5486, 5900, 2310, 6041, 6109, 5220, 4965,
+    4854, 5931, 2917, 4642, 3262, 2223, 5823, 5480, 2718, 5727, 5917, 5049,
+    5565, 5267, 5077, 3234, 2246, 5435, 5650, 6070, 5833, 2994, 4640, 2304,
+    4830, 5402, 5872, 5573, 6081, 3011, 5072, 3239, 3984, 2315, 5852, 6001,
+    125,  3171, 2336, 3765, 2005, 4415, 5673, 3180, 5996, 283,  4920, 5268,
+    3087, 5886, 2907, 2213, 3079, 2827, 5778, 5973, 3126, 5604, 2296, 3151,
+    5475, 5073, 5291, 5717, 2818, 5912, 2925, 5788, 117,  5483, 3197, 5645,
+    5357, 249,  6040, 5705, 5828, 4858, 3238, 3086, 5184, 5858, 5633, 5062,
+    292,  2193, 3261, 6103, 299,  124,  5916, 5510, 2133, 3190, 2198, 6069,
+    5465, 4634, 2597, 2303, 5399, 5559, 3196, 5614, 6034, 3150, 5494, 5836,
+    4859, 6045, 2808, 5063, 5281, 5816, 5459, 2131, 6075, 226,  5896, 2309,
+    5028, 5995, 2260, 5783, 5246, 2070, 3144, 5139, 2239, 4610, 2826, 5667,
+    5437, 3260, 4809, 2295, 3545, 6026, 3136, 2188, 6102, 2287, 5911, 5500,
+    3233, 5808, 5431, 2984, 2196, 5868, 5354, 5569, 5989, 5702, 3003, 5000,
+    5218, 4852, 5247, 5609, 5791, 6000, 2916, 3060, 2231, 3085, 5639, 5289,
+    5771, 5822, 5597, 4781, 4405, 5454, 5507, 6074, 5047, 5891, 2308, 4844,
+    260,  5296, 123,  3078, 5462, 4201, 4422, 4638, 6033, 5684, 5981, 5219,
+    3195, 4853, 2277, 5713, 5851, 106,  2924, 5763, 5589, 3232, 5479, 3764,
+    5895, 5426, 6039, 282,  4420, 5048, 5863, 5564, 5266, 4203, 3084, 5434,
+    5777, 5552, 4639, 6025, 5656, 5279, 3143, 5401, 2286, 2717, 4390, 5071,
+    5497, 2817, 5726, 6068, 2182, 3170, 3010, 4624, 2708, 2302, 5395, 5867,
+    237,  5988, 3002, 5485, 5832, 3194, 4964, 5182, 4589, 2906, 3070, 5069,
+    3981, 2222, 5544, 5603, 2923, 5994, 2256, 4745, 5474, 5890, 6038, 5076,
+    271,  2825, 5448, 3009, 4195, 4632, 2294, 5681, 5885, 5980, 291,  5356,
+    4829, 2276, 5972, 4857, 5910, 4561, 5183, 3983, 5632, 5061, 5815, 2192,
+    5716, 5754, 5350, 6067, 5698, 2698, 2004, 5026, 4414, 2068, 2301, 5390,
+    5862, 5787, 4919, 5137, 3231, 5827, 122,  5420, 3116, 2212, 4633, 5653,
+    5857, 3544, 5059, 5398, 5558, 3125, 4700, 2716, 5620, 5993, 2251, 3189,
+    5290, 2807, 5807, 5264, 5458, 2130, 6032, 1939, 2824, 116,  5482, 4998,
+    5027, 5831, 2293, 5245, 2069, 2596, 5138, 121,  2127, 3077, 5770, 3975,
+    3142, 2587, 2255, 5535, 2187, 5345, 5693, 4842, 2132, 3223, 5782, 2175,
+    2922, 5430, 2983, 6024, 5884, 5464, 5275, 3008, 5353, 4999, 2285, 5217,
+    5971, 4851, 5575, 5493, 3135, 5762, 4525, 5288, 3188, 5280, 5596, 3141,
+    5987, 3001, 5453, 4418, 6031, 5786, 5046, 5701, 5826, 4843, 2896, 2167,
+    4849, 6066, 4609, 2915, 2300, 4637, 5384, 5856, 2122, 5436, 4808, 2577,
+    5617, 5821, 5889, 2250, 5044, 105,  4185, 4622, 5588, 2707, 5677, 5979,
+    2195, 5425, 3007, 2245, 2275, 6023, 4419, 3050, 2595, 4962, 3230, 2284,
+    5413, 4202, 2823, 3059, 4480, 5712, 120,  5850, 2292, 5551, 4780, 5278,
+    4404, 5861, 3761, 5986, 3000, 3179, 5781, 5243, 2181, 4369, 4623, 5649,
+    5461, 5339, 5394, 4200, 2993, 4827, 2715, 5572, 5776, 3229, 4963, 3134,
+    5181, 2797, 3076, 5260, 5068, 2816, 5543, 5753, 5478, 3763, 4170, 2002,
+    3140, 4412, 5672, 5978, 4917, 3187, 2274, 5265, 5215, 214,  3105, 3965,
+    5447, 4341, 2914, 119,  2158, 4631, 6030, 5433, 281,  3069, 5820, 4828,
+    5400, 4389, 5070, 3075, 3222, 3982, 2116, 5883, 3169, 5349, 115,  2244,
+    2697, 2003, 5025, 5644, 4413, 5970, 2067, 4629, 5389, 5680, 4918, 2714,
+    5136, 2921, 4588, 5419, 3115, 5711, 290,  5377, 5849, 6022, 3980, 5255,
+    2586, 5058, 5814, 2283, 3139, 3755, 4744, 5473, 5697, 5825, 259,  5023,
+    2065, 5263, 5855, 2148, 5055, 4194, 5985, 2238, 225,  3950, 4997, 5613,
+    5775, 5355, 2249, 5652, 3541, 4856, 2822, 4560, 3228, 2126, 2291, 5060,
+    5369, 2815, 3221, 2191, 5806, 5534, 5882, 2594, 5344, 4995, 5969, 4841,
+    2174, 4149, 4607, 5179, 5332, 5666, 5977, 2230, 5274, 3068, 4806, 4305,
+    3543, 5769, 5397, 2273, 4699, 5506, 202,  5780, 5239, 289,  5692, 3074,
+    5457, 4839, 2129, 2194, 1938, 5854, 5568, 3039, 4417, 3186, 5244, 248,
+    5608, 2895, 2166, 280,  4848, 3227, 2920, 4608, 5324, 5638, 3974, 5383,
+    2121, 4778, 5813, 4807, 5761, 4402, 2713, 2576, 2186, 5696, 2109, 5211,
+    2061, 2593, 2973, 5043, 2913, 4621, 5134, 5429, 2237, 4198, 2982, 4260,
+    5819, 5352, 3185, 3049, 3535, 5216, 4961, 4850, 5412, 5040, 5616, 3929,
+    6021, 5496, 3073, 5234, 4524, 5287, 2243, 2282, 2687, 5805, 4779, 4403,
+    5452, 4619, 2706, 5676, 5045, 2101, 5563, 3220, 5242, 3133, 5848, 4959,
+    2919, 2999, 2229, 5338, 4199, 4636, 5768, 5968, 4826, 2221, 3745, 4387,
+    3178, 2796, 5259, 5691, 2821, 5206, 4835, 104,  4184, 3168, 2281, 3762,
+    2912, 2001, 5774, 5424, 4411, 5648, 2992, 4916, 5818, 4824, 5214, 1873,
+    3104, 4586, 5571, 2814, 2905, 5976, 2998, 5035, 2157, 3978, 4479, 2272,
+    5315, 5760, 5602, 5277, 4742, 2242, 5752, 3760, 4388, 1999, 4409, 5671,
+    2115, 5175, 4914, 4192, 2180, 4368, 3067, 5847, 5393, 2592, 2211, 4628,
+    3124, 3730, 3184, 4121, 4558, 5180, 4587, 5631, 3177, 2820, 5376, 5067,
+    2190, 3979, 5254, 2712, 2271, 4615, 4169, 2705, 5675, 4743, 5481, 5773,
+    5228, 5022, 5643, 2064, 2092, 3964, 5446, 2147, 5054, 4340, 4193, 5812,
+    4630, 2813, 2566, 2220, 5557, 4697, 3132, 2585, 5019, 94,   3901, 4559,
+    2806, 5368, 5130, 2236, 2128, 2711, 5170, 1936, 5348, 288,  5647, 3525,
+    236,  5024, 2991, 3219, 2066, 5388, 5200, 4820, 4994, 5612, 3183, 5135,
+    2911, 5492, 4606, 5178, 5418, 5331, 3114, 3972, 5804, 5967, 4805, 2997,
+    3542, 5057, 2185, 5751, 4698, 3754, 4991, 1995, 1807, 2962, 5238, 5670,
+    2082, 2228, 5262, 4838, 279,  5767, 1937, 3949, 4604, 2210, 3038, 4996,
+    5665, 5811, 3218, 3123, 4803, 3540, 5690, 5846, 5014, 2056, 4085, 2125,
+    5323, 4522, 5286, 3973, 5595, 5966, 4777, 5125, 4401, 3709, 2235, 2270,
+    114,  3176, 5343, 2108, 5210, 5642, 2060, 3510, 5567, 2972, 4840, 2173,
+    5607, 4148, 5133, 4197, 5759, 3058, 2591, 2996, 5273, 4304, 5637, 5803,
+    2584, 4775, 4399, 5039, 2812, 4986, 103,  5233, 4182, 4523, 5587, 2686,
+    2227, 4618, 190,  5460, 5766, 2885, 4416, 2100, 5611, 5491, 5164, 2894,
+    2165, 4958, 4847, 4040, 4477, 3066, 5550, 2590, 5382, 3028, 2120, 5276,
+    2704, 3131, 287,  5477, 3758, 4386, 4955, 3865, 5042, 5205, 4834, 5562,
+    2179, 4183, 4366, 4620, 2219, 4600, 5664, 4259, 5432, 5758, 5193, 4799,
+    3048, 3534, 4960, 4823, 3217, 213,  4585, 5411, 3928, 4384, 5066, 5034,
+    3977, 4478, 5810, 5542, 5314, 4167, 3130, 2710, 4741, 2990, 270,  5008,
+    3759, 2050, 1998, 5566, 4408, 5241, 5119, 5174, 5606, 4913, 3962, 2234,
+    4338, 4191, 3057, 4367, 4583, 5337, 2904, 5636, 3489, 5750, 2786, 4825,
+    3744, 4771, 1990, 4395, 5601, 2703, 5669, 2910, 4557, 4739, 2795, 5472,
+    4910, 3820, 5258, 5802, 4950, 3681, 2209, 4614, 2696, 4168, 2000, 3175,
+    4189, 4410, 247,  4980, 2218, 5227, 4915, 3216, 5213, 2091, 1872, 3103,
+    2226, 3113, 3963, 4339, 5765, 4555, 2156, 2565, 5630, 5056, 2589, 4696,
+    113,  5476, 3752, 5018, 5641, 93,   2811, 2989, 4815, 2114, 5129, 5561,
+    5261, 3645, 5169, 1935, 3947, 3174, 2583, 4627, 5199, 3538, 4819, 5396,
+    5556, 5749, 5157, 3729, 82,   4694, 4120, 4380, 2124, 3065, 3971, 5375,
+    5757, 4905, 2805, 5253, 5533, 5456, 258,  3753, 4990, 2208, 3129, 1994,
+    1933, 201,  2961, 3122, 5021, 2172, 2063, 2081, 4146, 4579, 2146, 5053,
+    2903, 5272, 3948, 4603, 4302, 3969, 178,  4802, 5600, 3539, 5149, 4735,
+    112,  5471, 3900, 5013, 3064, 2055, 2909, 4521, 5367, 4595, 5124, 2702,
+    5663, 5428, 2874, 2043, 2981, 3524, 5351, 2582, 4944, 5112, 4993, 278,
+    2164, 4846, 4147, 4605, 4551, 5177, 5330, 2217, 5629, 2119, 3461, 4804,
+    4303, 4519, 2189, 2575, 5594, 4774, 3128, 4398, 5451, 1806, 5237, 4985,
+    5605, 5041, 5801, 4181, 3056, 4837, 5635, 4257, 4973, 1741, 224,  2035,
+    3037, 2884, 2951, 3047, 3532, 3173, 5555, 5104, 4690, 2225, 5163, 3926,
+    2908, 4476, 4084, 5322, 2804, 3425, 3027, 4776, 5748, 5455, 102,  4179,
+    4400, 3708, 5586, 1984, 3757, 1929, 5662, 5423, 4794, 2107, 4899, 5209,
+    4954, 5240, 2059, 3509, 2810, 2971, 4365, 5132, 2207, 4196, 4599, 2775,
+    4258, 4474, 3121, 3742, 5192, 4798, 5549, 3533, 2184, 277,  5038, 5560,
+    5257, 2676, 3927, 4383, 5756, 5232, 3063, 2685, 4166, 5427, 235,  111,
+    3600, 2980, 4363, 4617, 5007, 5634, 2049, 5392, 3172, 4766, 2099, 5212,
+    1870, 4375, 3102, 5118, 3961, 4957, 4337, 2155, 4039, 4582, 4515, 3167,
+    2581, 5593, 2785, 3743, 4770, 5541, 1989, 4394, 5450, 4164, 4385, 4738,
+    4909, 2113, 2809, 3864, 4574, 5204, 4949, 4833, 2701, 2902, 3959, 5445,
+    4335, 4188, 4626, 4979, 5599, 4937, 2026, 5470, 3727, 4118, 4822, 1871,
+    4584, 5095, 2216, 5033, 4554, 3976, 3062, 5252, 5313, 4175, 5585, 3380,
+    3751, 4740, 5422, 5347, 2695, 1997, 5020, 4407, 2062, 4814, 5387, 4546,
+    5173, 4912, 2940, 2700, 2145, 5628, 5052, 4190, 3946, 2988, 5417, 269,
+    4470, 4788, 5548, 3488, 4929, 3537, 3166, 5156, 3728, 3898, 81,   4693,
+    4119, 3749, 4556, 4379, 2215, 3819, 4904, 5747, 3680, 1977, 2178, 4359,
+    4613, 2901, 3522, 5391, 5554, 1932, 3944, 4892, 2016, 4992, 5226, 5598,
+    4145, 4730, 2090, 2555, 3055, 5176, 2206, 4578, 2803, 2987, 3120, 2123,
+    4301, 2564, 4760, 3968, 5540, 1675, 1924, 4695, 4160, 5148, 5017, 4734,
+    1804, 5532, 5236, 92,   3899, 5342, 5128, 4836, 5746, 4594, 3644, 110,
+    3955, 5444, 1969, 5168, 4143, 1934, 4331, 2873, 5627, 3036, 2042, 3523,
+    4884, 2183, 4299, 5198, 4943, 5111, 4818, 4082, 2205, 4550, 3970, 2580,
+    3119, 2979, 4518, 3706, 5346, 2694, 4989, 1993, 2106, 5208, 1805, 2960,
+    2058, 3507, 5386, 5553, 2970, 4685, 2080, 5131, 2893, 109,  4510, 5416,
+    3112, 4256, 4972, 189,  5592, 2802, 4602, 2034, 2950, 5381, 3531, 5449,
+    2118, 4801, 5103, 4689, 2574, 1918, 5037, 2665, 3925, 5012, 5231, 2054,
+    4083, 4520, 2579, 276,  3165, 5123, 4178, 3707, 4616, 1983, 1928, 3940,
+    2098, 4254, 4793, 4898, 3508, 268,  3529, 4956, 4568, 4037, 2900, 5410,
+    101,  2863, 3923, 2774, 5584, 3460, 4473, 3741, 2986, 5421, 4724, 2978,
+    4773, 5531, 4397, 5341, 2675, 4984, 3862, 5203, 4832, 4180, 2171, 4139,
+    4465, 2699, 5547, 4362, 1740, 1960, 5271, 5336, 2883, 4295, 5591, 4765,
+    4821, 3739, 1869, 4374, 4875, 3054, 4540, 5162, 5626, 5032, 4038, 2794,
+    4475, 4753, 2204, 2177, 4514, 3424, 4354, 3026, 3118, 3756, 4163, 1996,
+    4406, 4953, 5172, 3863, 4911, 4573, 2892, 2163, 1867, 4364, 3101, 3958,
+    4598, 5539, 4334, 3486, 108,  5380, 2985, 100,  4155, 5191, 4936, 4797,
+    5583, 4679, 2025, 3726, 2573, 4117, 3053, 5094, 3817, 2801, 4382, 2764,
+    5443, 3678, 2112, 4326, 4174, 4612, 4165, 70,   2578, 3599, 1950, 5006,
+    4250, 5546, 5225, 2048, 3046, 2544, 2089, 5117, 4545, 3960, 3724, 5409,
+    2939, 4115, 4336, 3919, 4581, 275,  4469, 4787, 5374, 3487, 3117, 2784,
+    4928, 2176, 2693, 4769, 4348, 1988, 5016, 4393, 91,   3897, 5385, 3748,
+    4737, 4908, 5127, 3818, 3164, 5415, 4948, 3642, 246,  5167, 3679, 223,
+    1976, 4358, 3521, 107,  5051, 5335, 4187, 4978, 3943, 4891, 5538, 5197,
+    2015, 4817, 3735, 2852, 4729, 212,  2554, 2793, 3895, 4504, 5256, 4553,
+    5590, 4759, 5366, 4717, 177,  1923, 3935, 5442, 3379, 3750, 4320, 4159,
+    4988, 1992, 1803, 2959, 3519, 2079, 4813, 3163, 1863, 257,  3643, 3954,
+    1968, 4142, 3945, 4601, 4330, 2154, 5329, 4883, 5530, 4800, 4298, 3536,
+    5340, 4533, 5155, 2692, 80,   4692, 2899, 5011, 4378, 2053, 4081, 3052,
+    1801, 2170, 99,   4134, 4903, 5582, 5122, 3705, 4709, 5414, 3111, 4290,
+    1931, 3506, 3035, 4684, 3720, 4144, 4111, 4577, 4459, 4509, 3458, 5373,
+    5545, 4079, 4300, 5321, 3967, 4672, 5251, 1674, 4772, 4396, 3703, 1917,
+    2753, 5147, 2664, 4733, 2800, 4983, 2891, 2105, 2162, 2057, 3504, 267,
+    1911, 4593, 5379, 1738, 2144, 2117, 2872, 3939, 2882, 2041, 2572, 4253,
+    4942, 5110, 5529, 5161, 3528, 4567, 4036, 3891, 3051, 5036, 4549, 2862,
+    3922, 3422, 3025, 5365, 5537, 3459, 2169, 4517, 4664, 4128, 4245, 4723,
+    2684, 3045, 3515, 4284, 4952, 200,  3861, 5408, 2097, 3914, 2977, 1903,
+    4138, 4464, 4597, 3162, 5328, 4034, 4255, 4971, 1739, 1959, 5190, 2033,
+    4796, 4294, 2949, 3530, 3738, 5102, 4874, 4688, 4539, 3924, 4381, 1797,
+    4497, 5235, 2898, 4752, 3423, 3859, 4353, 2890, 2161, 4831, 5334, 3597,
+    4177, 2691, 1982, 5005, 1927, 2047, 2654, 5378, 256,  4792, 4897, 2571,
+    5116, 2792, 2976, 3110, 1866, 4580, 4075, 5320, 3485, 2773, 5031, 2783,
+    4472, 3740, 4154, 4768, 1987, 4678, 5312, 4392, 3699, 4736, 4239, 4907,
+    3816, 4489, 2674, 98,   5207, 1858, 234,  245,  3500, 5581, 4947, 2969,
+    2763, 3677, 4325, 5407, 2153, 3161, 69,   3908, 4186, 3598, 4977, 1949,
+    4361, 4249, 3483, 4764, 2543, 1868, 4373, 3723, 4452, 2111, 4114, 4552,
+    3918, 2897, 5230, 3814, 4513, 3377, 2683, 5528, 3675, 4347, 4655, 4611,
+    5333, 4162, 4812, 3715, 97,   4106, 2168, 2799, 2841, 4572, 3641, 5372,
+    2088, 2791, 4030, 3957, 5250, 1894, 4333, 2563, 4935, 3734, 5154, 2024,
+    3725, 2851, 79,   4691, 4116, 4377, 5015, 4444, 5093, 90,   3894, 5536,
+    4902, 4503, 3855, 5202, 1852, 2143, 3100, 4173, 4716, 3934, 3378, 3639,
+    4319, 2152, 1930, 3518, 3886, 2889, 2160, 4816, 4313, 1862, 4544, 4576,
+    2938, 5364, 2975, 2110, 3966, 4468, 4786, 1672, 5311, 2570, 4927, 5146,
+    2533, 4732, 4532, 3896, 3747, 4987, 1991, 1800, 2958, 2798, 4133, 4592,
+    2643, 5171, 5327, 4100, 2078, 2690, 4708, 1975, 2871, 4357, 2040, 1884,
+    4289, 5371, 3520, 3942, 3044, 4890, 3479, 4941, 5109, 2014, 1792, 5406,
+    3109, 3719, 4728, 2742, 4110, 2553, 4548, 4458, 3457, 5010, 3810, 2052,
+    4078, 4516, 4758, 4671, 3671, 1673, 1922, 2142, 3034, 4158, 3702, 2752,
+    1802, 5224, 3503, 96,   4070, 1910, 5319, 3880, 2689, 3953, 2974, 1967,
+    4970, 1737, 4141, 4329, 2032, 5363, 2948, 3694, 2562, 3455, 4882, 4297,
+    5101, 4687, 2790, 2104, 3108, 89,   3495, 3890, 2968, 4080, 3421, 4982,
+    4435, 5126, 5527, 4176, 4663, 3704, 4127, 3635, 1981, 5166, 4244, 5326,
+    1926, 1735, 3514, 4791, 4896, 4283, 3505, 266,  5196, 1845, 3099, 4683,
+    3913, 1902, 1786, 2151, 5229, 4277, 4508, 2772, 4033, 4471, 2682, 3419,
+    3024, 1916, 2663, 2096, 233,  2673, 1796, 4496, 255,  4951, 95,   4025,
+    3858, 5526, 3596, 4360, 4064, 5318, 3938, 2653, 4596, 4763, 4252, 211,
+    4372, 3688, 2159, 4795, 4093, 3527, 4566, 4035, 3850, 5370, 2103, 5201,
+    2051, 4269, 4074, 2522, 2861, 4512, 3921, 2967, 2569, 5121, 3698, 4722,
+    4161, 3594, 4238, 5004, 4488, 2046, 1857, 3860, 3499, 4571, 2141, 5030,
+    4137, 3956, 4232, 4463, 3907, 4332, 5310, 188,  3043, 3451, 1958, 4934,
+    4293, 2023, 2681, 3482, 2888, 265,  3737, 4767, 4873, 3873, 1986, 5092,
+    4391, 4538, 4451, 5362, 3107, 2095, 4906, 4751, 3813, 4172, 2568, 4352,
+    3376, 4946, 3674, 4019, 3474, 4654, 1731, 2881, 4976, 3714, 4105, 4543,
+    2840, 2937, 5160, 3805, 5325, 1865, 4224, 4029, 4467, 4785, 3666, 1893,
+    3844, 3484, 3042, 3415, 3023, 4926, 4153, 4677, 2789, 3374, 3746, 1779,
+    5223, 4443, 3815, 2087, 3854, 2762, 4811, 3676, 1851, 1974, 4324, 4356,
+    68,   2561, 3638, 3033, 2688, 3941, 1948, 4889, 4248, 2013, 5309, 5189,
+    58,   3098, 2542, 3885, 4727, 2552, 4312, 2150, 3722, 4057, 5317, 78,
+    3106, 4113, 3917, 4376, 4757, 3630, 5165, 1671, 1921, 4901, 2632, 4157,
+    4346, 2532, 3590, 199,  2102, 5195, 2045, 3468, 222,  2642, 5115, 3640,
+    4099, 3952, 1966, 4140, 4328, 1883, 4575, 3799, 4881, 4296, 3478, 3660,
+    2782, 1837, 3733, 3097, 1985, 1669, 2850, 1791, 2957, 2887, 2741, 2149,
+    4731, 2077, 3893, 5222, 4502, 3809, 2680, 2086, 3670, 4715, 3933, 4591,
+    2567, 4318, 2870, 2560, 2094, 2039, 3517, 4682, 4940, 2140, 5009, 1861,
+    4012, 88,   4069, 3879, 4507, 4547, 5120, 4215, 3693, 3454, 3624, 3041,
+    2731, 3370, 1915, 2662, 4531, 3494, 5361, 3837, 1799, 5194, 4810, 4434,
+    4132, 3634, 4707, 3446, 3937, 4288, 4251, 4969, 1734, 2031, 2947, 3526,
+    1844, 4565, 5153, 2886, 3718, 2139, 4981, 77,   4686, 4109, 1785, 2956,
+    2860, 3920, 4457, 4276, 3456, 5308, 4077, 2076, 4670, 3418, 4721, 1726,
+    176,  1771, 2880, 3701, 2751, 1980, 1925, 2788, 5159, 4790, 4895, 3502,
+    4024, 4136, 4462, 1909, 3032, 3410, 1736, 244,  4063, 1957, 2511, 4292,
+    2771, 3040, 1665, 3736, 4872, 3687, 4092, 4537, 5145, 1828, 5316, 3096,
+    3889, 3792, 3849, 4750, 4268, 2521, 264,  3420, 4351, 3653, 4590, 4662,
+    4126, 4243, 46,   254,  5188, 2038, 3593, 3440, 2966, 3513, 4282, 2085,
+    5108, 4762, 1864, 3912, 4371, 1901, 4231, 3031, 2559, 4032, 3450, 4152,
+    4676, 3585, 4511, 5003, 87,   3872, 1720, 4049, 2787, 2879, 1795, 4495,
+    5114, 2761, 2679, 4323, 3617, 3857, 5158, 4570, 67,   3595, 4018, 1947,
+    3473, 4247, 2093, 1730, 2781, 2652, 2030, 3404, 232,  2965, 2946, 2541,
+    4933, 5100, 2022, 1818, 3095, 3721, 4112, 3804, 3916, 4223, 2138, 4945,
+    4073, 3665, 3843, 3414, 4345, 4171, 3697, 4975, 1979, 3373, 1778, 221,
+    4237, 3829, 5187, 4789, 4487, 2075, 1856, 3498, 2678, 4542, 3906, 2936,
+    253,  3365, 4466, 3732, 4784, 57,   2849, 3481, 4925, 3579, 4004, 5002,
+    3892, 4450, 2044, 4056, 4501, 2672, 5307, 3629, 3812, 5113, 4714, 2631,
+    3932, 3375, 4317, 3673, 1973, 3589, 4653, 4355, 3516, 3467, 1762, 5152,
+    2780, 4888, 3713, 4761, 76,   2012, 4104, 1860, 4370, 2839, 4726, 263,
+    4900, 4028, 3433, 3798, 1892, 3030, 3659, 4756, 1836, 4530, 1668, 1920,
+    4156, 3784, 4974, 1798, 4442, 4131, 2621, 5306, 3853, 4569, 1850, 4706,
+    4287, 1713, 3637, 3951, 1965, 2878, 1660, 4327, 2084, 5144, 4880, 2021,
+    3359, 3717, 2964, 3884, 4108, 4311, 4011, 4456, 5091, 2558, 4076, 3397,
+    3022, 4669, 4214, 1670, 2869, 3623, 86,   3700, 2730, 3369, 2750, 2531,
+    1752, 4939, 5107, 3836, 3501, 3609, 5151, 1908, 2641, 4541, 4681, 4098,
+    187,  2935, 3445, 1882, 4506, 3029, 5186, 4783, 3477, 2083, 1790, 3888,
+    2740, 1914, 2661, 3995, 2557, 3808, 4661, 4125, 3669, 4242, 3572, 4968,
+    1725, 1972, 85,   1770, 2955, 243,  3512, 4281, 3936, 2074, 5099, 2011,
+    1654, 2963, 3911, 2610, 5143, 1900, 4725, 2551, 4068, 3878, 4564, 4031,
+    3409, 2510, 2859, 2779, 3692, 4755, 3453, 1978, 1664, 1919, 2868, 4720,
+    2037, 1827, 4894, 1794, 4494, 3493, 3791, 4938, 5106, 3856, 4433, 3652,
+    2677, 3633, 2770, 1964, 4135, 4461, 2651, 45,   2954, 3439, 1733, 1956,
+    2073, 4291, 1843, 2671, 4871, 2500, 1784, 4536, 4072, 4275, 4749, 3352,
+    3584, 3696, 3417, 4350, 4236, 4967, 1719, 2029, 4048, 4486, 1855, 2945,
+    3497, 3775, 5098, 4680, 3616, 4023, 1705, 3905, 210,  4505, 4062, 3403,
+    3480, 5150, 4151, 3686, 75,   4675, 4091, 1817, 4449, 1913, 252,  3848,
+    3389, 3021, 4893, 4267, 3811, 2520, 2556, 2760, 3672, 4322, 4652, 66,
+    4932, 2769, 3592, 84,   1946, 3828, 3712, 4246, 4103, 2838, 5090, 2540,
+    4563, 4027, 1696, 4230, 2670, 1891, 2877, 2858, 3915, 3449, 1647, 3364,
+    5142, 4719, 3578, 3871, 4344, 4003, 4441, 2489, 3020, 3852, 1849, 2934,
+    3564, 3636, 2867, 4460, 4017, 2036, 3472, 1729, 4924, 1955, 1761, 2953,
+    5105, 3883, 3731, 4310, 2072, 2848, 4535, 3803, 4222, 3432, 2778, 3664,
+    175,  4748, 3842, 4500, 1971, 3413, 4349, 2530, 4713, 3931, 4887, 3372,
+    83,   1777, 4316, 3783, 4931, 2020, 2620, 2550, 2640, 4097, 3555, 5089,
+    1859, 1881, 4966, 1712, 2028, 1659, 220,  3476, 4150, 56,   5097, 4674,
+    1789, 3358, 2739, 4529, 4055, 3807, 3396, 198,  3628, 3344, 2759, 3668,
+    1963, 4130, 2630, 4321, 231,  65,   4705, 3588, 4879, 1945, 4286, 4782,
+    1751, 2952, 3466, 4923, 3608, 251,  4067, 3877, 3716, 4107, 2768, 3797,
+    4455, 3691, 34,   3452, 2876, 3658, 74,   4668, 1835, 4343, 1667, 3492,
+    2669, 2749, 4886, 2010, 3994, 4432, 3335, 3019, 3632, 2549, 3571, 1907,
+    1732, 4754, 1842, 1653, 1912, 2660, 2847, 2609, 1783, 4010, 4274, 3887,
+    4499, 1639, 4213, 3416, 5141, 4712, 3622, 3930, 73,   4660, 2729, 4124,
+    3368, 4315, 4241, 4878, 3511, 3835, 4280, 4562, 4022, 209,  242,  3910,
+    4061, 3444, 1899, 1686, 4930, 2875, 2019, 3685, 4090, 4528, 5088, 3847,
+    2499, 4266, 2519, 1793, 4493, 1630, 4129, 3018, 3351, 2777, 1724, 4704,
+    1954, 1769, 3591, 4285, 2650, 4870, 3774, 4534, 219,  2659, 4229, 2866,
+    1704, 2027, 4454, 3408, 2944, 3448, 2509, 4071, 4922, 5096, 4667, 1663,
+    3870, 3695, 2748, 1826, 3790, 4235, 3388, 4485, 1854, 3651, 3496, 1970,
+    4016, 1906, 3471, 2478, 1728, 44,   2857, 3904, 4885, 3438, 2009, 4718,
+    2548, 3802, 4221, 2767, 1695, 241,  4448, 3663, 3841, 2943, 3412, 1646,
+    64,   2776, 3583, 4659, 4123, 1944, 3371, 4240, 1776, 2668, 1718, 72,
+    4651, 4047, 2539, 4279, 2488, 3711, 4869, 4102, 3615, 3563, 3909, 1962,
+    2837, 1898, 4026, 4747, 4877, 3402, 55,   1890, 4342, 1816, 4054, 197,
+    4492, 4440, 3627, 2629, 3851, 1848, 1620, 3587, 2667, 3465, 2649, 3827,
+    2846, 4673, 3882, 3554, 4498, 4309, 3796, 2865, 2018, 2758, 3657, 3363,
+    1834, 4314, 1666, 63,   2658, 5087, 3577, 71,   2529, 4002, 4234, 4484,
+    1853, 2538, 3343, 2639, 4096, 3903, 1880, 1760, 4527, 3475, 2933, 4009,
+    1788, 4447, 2856, 2738, 3431, 4212, 4921, 33,   3806, 2017, 3621, 22,
+    2942, 2728, 3367, 3667, 5086, 4650, 3782, 3834, 3710, 2619, 4101, 230,
+    2836, 3334, 4453, 3443, 4066, 3876, 1711, 2864, 1953, 2008, 1889, 1658,
+    3690, 4711, 4868, 2747, 2547, 3357, 2932, 4439, 3491, 4746, 3395, 1638,
+    1905, 2766, 4431, 1847, 1723, 1768, 3631, 1750, 186,  3607, 3881, 1961,
+    1841, 4308, 3407, 2508, 1782, 4876, 1685, 4273, 2007, 4122, 2941, 1662,
+    4703, 2546, 2528, 1825, 4278, 3789, 3993, 2757, 3650, 1629, 1897, 2638,
+    4095, 4021, 3570, 43,   1943, 3437, 1879, 4060, 4666, 2537, 1652, 2608,
+    3684, 1787, 4491, 229,  4089, 2737, 3846, 2765, 4265, 2518, 3582, 1904,
+    2657, 240,  1717, 4046, 2666, 3614, 4065, 3875, 2477, 4228, 3401, 3689,
+    3447, 4658, 2845, 1815, 4233, 4483, 208,  3869, 3490, 2931, 2498, 4430,
+    4710, 3902, 3350, 1896, 2656, 4015, 3826, 3470, 1727, 3773, 1840, 4446,
+    1703, 1781, 1952, 3801, 4272, 4220, 3362, 3662, 3840, 4867, 3411, 2006,
+    4526, 3576, 4001, 2648, 2545, 2855, 1775, 3387, 2835, 4020, 4702, 1619,
+    1888, 4059, 1759, 3683, 54,   4088, 4438, 2930, 3430, 1694, 3845, 1951,
+    4053, 1846, 4264, 2517, 4665, 1645, 3626, 4866, 2628, 2746, 3781, 3586,
+    2756, 2618, 2487, 3464, 4307, 62,   3562, 1710, 1942, 4227, 1657, 3795,
+    2536, 239,  3356, 3656, 1833, 4649, 3868, 174,  3394, 2637, 4094, 4657,
+    2834, 21,   1878, 4014, 3469, 1749, 1887, 185,  196,  3606, 2736, 61,
+    3553, 3800, 1941, 4008, 4219, 3661, 3839, 207,  2535, 4211, 3620, 2727,
+    3366, 1774, 4490, 3992, 2854, 3833, 3874, 3342, 4306, 3569, 2647, 3442,
+    1651, 53,   2607, 2527, 4052, 4429, 32,   3625, 228,  2844, 2627, 1722,
+    1877, 2655, 1767, 4482, 1839, 3463, 4701, 1780, 3333, 4271, 2735, 3794,
+    3406, 2507, 3655, 1832, 1661, 4445, 2497, 1824, 2853, 3788, 1637, 3349,
+    3649, 4058, 2745, 4648, 42,   3682, 3436, 4087, 3772, 218,  2755, 1702,
+    4007, 4263, 2516, 60,   1684, 1940, 4210, 3619, 3581, 2726, 2534, 4437,
+    3386, 1716, 4045, 3832, 4656, 1838, 1628, 4226, 3613, 195,  3441, 4270,
+    3400, 3867, 1895, 1693, 1814, 1644, 4013, 2526, 1721, 1766, 2843, 2486,
+    3825, 2636, 2754, 4086, 3561, 4218, 59,   2646, 3838, 2476, 3405, 4262,
+    227,  2506, 3361, 173,  1773, 217,  3575, 1823, 4000, 3787, 3648, 4225,
+    41,   4481, 52,   3435, 1758, 4051, 3866, 3552, 2645, 2626, 3429, 3580,
+    2842, 3462, 1715, 4044, 3780, 4428, 3341, 2617, 3612, 4647, 3793, 1618,
+    4217, 1709, 3654, 2744, 1831, 3399, 1656, 206,  3355, 1813, 1772, 1886,
+    31,   3393, 4436, 3824, 1748, 51,   4006, 3332, 3605, 4646, 4050, 4209,
+    3618, 2725, 3360, 2625, 2833, 3574, 3999, 3831, 1885, 2515, 1636, 3991,
+    2525, 20,   3568, 2743, 1757, 2635, 1830, 1650, 1876, 2606, 1683, 3428,
+    184,  1765, 2734, 3779, 1627, 2616, 2524, 4005, 2505, 1708, 1655, 4208,
+    2634, 1822, 2724, 3354, 3786, 1875, 3647, 3830, 2496, 3392, 40,   3348,
+    3434, 194,  1747, 4427, 3604, 3771, 2475, 1701, 2644, 50,   1714, 4043,
+    1764, 2832, 3990, 3611, 3385, 216,  3567, 3398, 2504, 4426, 1812, 1649,
+    2605, 1821, 3785, 1692, 3646, 1829, 1643, 3823, 39,   4261, 2514, 2485,
+    1617, 3560, 2523, 3573, 3998, 2831, 183,  4042, 2495, 1874, 3610, 2723,
+    3347, 1756, 2733, 2513, 3770, 1811, 3427, 1700, 3551, 3778, 4216, 2615,
+    3822, 3384, 19,   1707, 3340, 1763, 172,  3353, 2633, 3997, 3391, 1691,
+    215,  1642, 30,   1820, 1746, 2732, 3603, 1755, 2484, 2624, 3559, 3331,
+    38,   3426, 3989, 3777, 2614, 49,   3566, 1635, 1706, 4041, 1648, 2604,
+    2623, 2512, 3550, 3390, 1682, 1810, 1745, 4207, 3602, 205,  3339, 1626,
+    3821, 2494, 3988, 3346, 29,   3565, 3996, 3769, 4206, 171,  1699, 2603,
+    193,  3330, 2474, 1754, 3383, 2503, 1634, 48,   3776, 2613, 1690, 37,
+    182,  2493, 1641, 1681, 3345, 2483, 2502, 3558, 3768, 1625, 1698, 1819,
+    1616, 1744, 3601, 3382, 47,   3987, 3549, 2622, 1689, 2722, 2473, 1640,
+    2602, 3338, 2482, 3557, 1809, 18,   28,   1753, 2492, 3329, 2501, 3548,
+    2721, 1615, 204,  3767, 1697, 1633, 36,   3337, 3381, 1680, 1743, 27,
+    2612, 1688, 1624, 170,  3328, 17,   1808, 2481, 3556, 35,   1632, 2601,
+    2472, 1679, 3986, 3547, 1623, 192,  203,  3336, 3766, 181,  26,   1614,
+    2471, 2491, 3327, 1742, 1687, 1631, 2480, 2611, 1678, 16,   1613, 180,
+    1622, 191,  3546, 2490, 2470, 15,   2600, 25,   3326, 169,  24,   1612,
+    2479, 1677, 1621, 1676, 14,   168,  2469, 2468, 1611, 23,   1610, 13,
+    179,  12,   167,  11};
 
-int perm7[21][5] = {
-  { 0, 1, 2, 3, 4 },
-  { 0, 1, 2, 3, 5 },
-  { 0, 1, 2, 3, 6 },
-  { 0, 1, 2, 4, 5 },
-  { 0, 1, 2, 4, 6 },
-  { 0, 1, 2, 5, 6 },
-  { 0, 1, 3, 4, 5 },
-  { 0, 1, 3, 4, 6 },
-  { 0, 1, 3, 5, 6 },
-  { 0, 1, 4, 5, 6 },
-  { 0, 2, 3, 4, 5 },
-  { 0, 2, 3, 4, 6 },
-  { 0, 2, 3, 5, 6 },
-  { 0, 2, 4, 5, 6 },
-  { 0, 3, 4, 5, 6 },
-  { 1, 2, 3, 4, 5 },
-  { 1, 2, 3, 4, 6 },
-  { 1, 2, 3, 5, 6 },
-  { 1, 2, 4, 5, 6 },
-  { 1, 3, 4, 5, 6 },
-  { 2, 3, 4, 5, 6 }
-};
+int perm7[21][5] = {{0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 3, 6},
+                    {0, 1, 2, 4, 5}, {0, 1, 2, 4, 6}, {0, 1, 2, 5, 6},
+                    {0, 1, 3, 4, 5}, {0, 1, 3, 4, 6}, {0, 1, 3, 5, 6},
+                    {0, 1, 4, 5, 6}, {0, 2, 3, 4, 5}, {0, 2, 3, 4, 6},
+                    {0, 2, 3, 5, 6}, {0, 2, 4, 5, 6}, {0, 3, 4, 5, 6},
+                    {1, 2, 3, 4, 5}, {1, 2, 3, 4, 6}, {1, 2, 3, 5, 6},
+                    {1, 2, 4, 5, 6}, {1, 3, 4, 5, 6}, {2, 3, 4, 5, 6}};
 
 #endif
diff --git a/cpp/test/kev/fast_eval.c b/cpp/test/kev/fast_eval.c
index ebc5600..3339947 100644
--- a/cpp/test/kev/fast_eval.c
+++ b/cpp/test/kev/fast_eval.c
@@ -2,8 +2,9 @@
 //   for Cactus Kev's Poker Hand Evaluator
 //
 // Replaces binary search with a perfect hash.
-// If you replace eval_5hand with eval_5hand_fast, the products[] and values[] arrays in 'arrays.h' are unnecessary.
-// With eval_5hand_fast, the 'allfive.c' test program runs about 2.7 times faster.
+// If you replace eval_5hand with eval_5hand_fast, the products[] and values[]
+// arrays in 'arrays.h' are unnecessary. With eval_5hand_fast, the 'allfive.c'
+// test program runs about 2.7 times faster.
 //
 // (c) Paul D. Senzee.
 // Portions (in eval_5hand_fast) (c) Kevin L. Suffecool.
@@ -20,96 +21,83 @@ extern int perm7[21][5];
 unsigned short hash_adjust[];
 unsigned short hash_values[];
 
-unsigned find_fast(unsigned u)
-{
-    unsigned a, b, r;
-    u += 0xe91aaa35;
-    u ^= u >> 16;
-    u += u << 8;
-    u ^= u >> 4;
-    b  = (u >> 8) & 0x1ff;
-    a  = (u + (u << 2)) >> 19;
-    r  = a ^ hash_adjust[b];
-    return r;
+unsigned find_fast(unsigned u) {
+  unsigned a, b, r;
+  u += 0xe91aaa35;
+  u ^= u >> 16;
+  u += u << 8;
+  u ^= u >> 4;
+  b = (u >> 8) & 0x1ff;
+  a = (u + (u << 2)) >> 19;
+  r = a ^ hash_adjust[b];
+  return r;
 }
 
-short eval_5cards_fast(int c1, int c2, int c3, int c4, int c5)
-{
-    int q = (c1 | c2 | c3 | c4 | c5) >> 16;
-    short s;
-    if (c1 & c2 & c3 & c4 & c5 & 0xf000) return flushes[q]; // check for flushes and straight flushes
-    if ((s = unique5[q]))                return s;          // check for straights and high card hands
-    return hash_values[find_fast((c1 & 0xff) * (c2 & 0xff) * (c3 & 0xff) * (c4 & 0xff) * (c5 & 0xff))];
+short eval_5cards_fast(int c1, int c2, int c3, int c4, int c5) {
+  int q = (c1 | c2 | c3 | c4 | c5) >> 16;
+  short s;
+  if (c1 & c2 & c3 & c4 & c5 & 0xf000)
+    return flushes[q];             // check for flushes and straight flushes
+  if ((s = unique5[q])) return s;  // check for straights and high card hands
+  return hash_values[find_fast((c1 & 0xff) * (c2 & 0xff) * (c3 & 0xff) *
+                               (c4 & 0xff) * (c5 & 0xff))];
 }
 
-short eval_5hand_fast(int *hand)
-{
-	return eval_5cards_fast(hand[0], hand[1], hand[2], hand[3], hand[4]);
+short eval_5hand_fast(int *hand) {
+  return eval_5cards_fast(hand[0], hand[1], hand[2], hand[3], hand[4]);
 }
 
-short eval_6hand_fast(int *hand)
-{
-    int i;
-    short best = 9999;
-    int perm[][5] = {
-        { 0, 1, 2, 3, 4 },
-        { 0, 1, 2, 3, 5 },
-        { 0, 1, 2, 4, 5 },
-        { 0, 1, 3, 4, 5 },
-        { 0, 2, 3, 4, 5 },
-        { 1, 2, 3, 4, 5 },
-    };
+short eval_6hand_fast(int *hand) {
+  int i;
+  short best = 9999;
+  int perm[][5] = {
+      {0, 1, 2, 3, 4}, {0, 1, 2, 3, 5}, {0, 1, 2, 4, 5},
+      {0, 1, 3, 4, 5}, {0, 2, 3, 4, 5}, {1, 2, 3, 4, 5},
+  };
 
-    for (i = 0; i < 6; i++)
-    {
-        int subhand[5];
-        int j;
-        for (j = 0; j < 5; j++)
-            subhand[j] = hand[perm[i][j]];
-        int q = eval_5hand_fast(subhand);
-        if (q < best)
-            best = q;
-    }
+  for (i = 0; i < 6; i++) {
+    int subhand[5];
+    int j;
+    for (j = 0; j < 5; j++) subhand[j] = hand[perm[i][j]];
+    int q = eval_5hand_fast(subhand);
+    if (q < best) best = q;
+  }
 
-    return best;
+  return best;
 }
 
-short eval_6cards_fast(int c1, int c2, int c3, int c4, int c5, int c6)
-{
-    int hand[] = { c1, c2, c3, c4, c5, c6 };
-    return eval_6hand_fast(hand);
+short eval_6cards_fast(int c1, int c2, int c3, int c4, int c5, int c6) {
+  int hand[] = {c1, c2, c3, c4, c5, c6};
+  return eval_6hand_fast(hand);
 }
 
-short eval_7hand_fast(int *hand)
-{
-    int i, j, q, best = 9999, subhand[5];
+short eval_7hand_fast(int *hand) {
+  int i, j, q, best = 9999, subhand[5];
 
-  for ( i = 0; i < 21; i++ )
-  {
-    for ( j = 0; j < 5; j++ )
-      subhand[j] = hand[ perm7[i][j] ];
-    q = eval_5cards_fast(subhand[0], subhand[1], subhand[2], subhand[3], subhand[4]);
-    if ( q < best )
-      best = q;
+  for (i = 0; i < 21; i++) {
+    for (j = 0; j < 5; j++) subhand[j] = hand[perm7[i][j]];
+    q = eval_5cards_fast(subhand[0], subhand[1], subhand[2], subhand[3],
+                         subhand[4]);
+    if (q < best) best = q;
   }
-  return( best );
+  return (best);
 }
 
-short eval_7cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7)
-{
-    int hand[] = { c1, c2, c3, c4, c5, c6, c7 };
+short eval_7cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7) {
+  int hand[] = {c1, c2, c3, c4, c5, c6, c7};
 
-    return eval_7hand_fast(hand);
+  return eval_7hand_fast(hand);
 }
 
-short minv(short a, short b)
-{
-  if (a < b) return a;
-  else return b;
+short minv(short a, short b) {
+  if (a < b)
+    return a;
+  else
+    return b;
 }
 
-short eval_8cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8)
-{
+short eval_8cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7,
+                       int c8) {
   short best = 10000;
 
   best = minv(best, eval_7cards_fast(c1, c2, c3, c4, c5, c6, c7));
@@ -124,8 +112,8 @@ short eval_8cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7, i
   return best;
 }
 
-short eval_9cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8, int c9)
-{
+short eval_9cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7,
+                       int c8, int c9) {
   short best = 10000;
 
   best = minv(best, eval_8cards_fast(c1, c2, c3, c4, c5, c6, c7, c8));
@@ -140,554 +128,732 @@ short eval_9cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7, i
   return best;
 }
 
-unsigned short hash_adjust[] = 
-{
-    0, 5628, 7017, 1298, 2918, 2442, 8070, 6383, 6383, 7425, 2442, 5628, 8044, 7425, 3155, 6383, 
-    2918, 7452, 1533, 6849, 5586, 7452, 7452, 1533, 2209, 6029, 2794, 3509, 7992, 7733, 7452, 131, 
-    6029, 4491, 1814, 7452, 6110, 3155, 7077, 6675, 532, 1334, 7555, 5325, 3056, 1403, 1403, 3969, 
-    4491, 1403, 7592, 522, 8070, 1403, 0, 1905, 3584, 2918, 922, 3304, 6675, 0, 7622, 7017, 
-    3210, 2139, 1403, 5225, 0, 3969, 7992, 5743, 5499, 5499, 5345, 7452, 522, 305, 3056, 7017, 
-    7017, 2139, 1338, 3056, 7452, 1403, 6799, 3204, 3290, 4099, 1814, 2191, 4099, 5743, 1570, 1334, 
-    7363, 1905, 0, 6799, 4400, 1480, 6029, 1905, 0, 7525, 2028, 2794, 131, 7646, 3155, 4986, 
-    1858, 2442, 7992, 1607, 3584, 4986, 706, 6029, 5345, 7622, 6322, 5196, 1905, 6847, 218, 1785, 
-    0, 4099, 2981, 6849, 4751, 3950, 7733, 3056, 5499, 4055, 6849, 1533, 131, 5196, 2918, 3879, 
-    5325, 2794, 6029, 0, 0, 322, 7452, 6178, 2918, 2320, 6675, 3056, 6675, 1533, 6029, 1428, 
-    2280, 2171, 6788, 7452, 3325, 107, 4262, 311, 5562, 7857, 6110, 2139, 4942, 4600, 1905, 0, 
-    3083, 5345, 7452, 6675, 0, 6112, 4099, 7017, 1338, 6799, 2918, 1232, 3584, 522, 6029, 5325, 
-    1403, 6759, 6849, 508, 6675, 2987, 7745, 6870, 896, 7452, 1232, 4400, 12, 2981, 3850, 4491, 
-    6849, 0, 6675, 747, 4491, 7525, 6675, 7452, 7992, 6921, 7323, 6849, 3056, 1199, 2139, 6029, 
-    6029, 190, 4351, 7891, 4400, 7134, 1533, 1194, 3950, 6675, 5345, 6383, 7622, 131, 1905, 2883, 
-    6383, 1533, 5345, 2794, 4303, 1403, 0, 1338, 2794, 992, 4871, 6383, 4099, 2794, 3889, 6184, 
-    3304, 1905, 6383, 3950, 3056, 522, 1810, 3975, 7622, 7452, 522, 6799, 5866, 7084, 7622, 6528, 
-    2798, 7452, 1810, 7907, 642, 5345, 1905, 6849, 6675, 7745, 2918, 4751, 3229, 2139, 6029, 5207, 
-    6601, 2139, 7452, 5890, 1428, 5628, 7622, 2139, 3146, 2400, 578, 941, 7672, 1814, 3210, 1533, 
-    4491, 12, 2918, 1900, 7425, 2794, 2987, 3465, 1377, 3822, 3969, 3210, 859, 5499, 6878, 1377, 
-    3056, 4027, 8065, 8065, 5207, 4400, 4303, 3210, 3210, 0, 6675, 357, 5628, 5512, 1905, 3452, 
-    1403, 7646, 859, 6788, 3210, 2139, 378, 5663, 7733, 870, 0, 4491, 4813, 2110, 578, 2139, 
-    3056, 4099, 1905, 1298, 4672, 2191, 3950, 5499, 3969, 4974, 6323, 6029, 7414, 6383, 0, 4974, 
-    3210, 795, 4099, 131, 5345, 5345, 6576, 1810, 1621, 4400, 2918, 1905, 2442, 2679, 6322, 7452, 
-    2110, 1403, 6383, 2653, 5132, 6856, 7841, 2794, 6110, 2028, 6675, 7425, 6999, 7441, 6029, 183, 
-    6675, 4400, 859, 1403, 2794, 5985, 5345, 1533, 322, 4400, 1227, 5890, 4474, 4491, 3574, 8166, 
-    6849, 7086, 5345, 5345, 5459, 3584, 6675, 3969, 7579, 8044, 2295, 2577, 1480, 5743, 3304, 5499, 
-    330, 4303, 6863, 3822, 4600, 4751, 5628, 3822, 2918, 6675, 2400, 6663, 1403, 6849, 6029, 3145, 
-    6110, 3210, 747, 3229, 3056, 2918, 7733, 330, 4055, 7322, 5628, 2987, 3056, 1905, 2903, 669, 
-    5325, 2845, 4099, 5225, 6283, 4099, 5000, 642, 4055, 5345, 8034, 2918, 1041, 5769, 7051, 1538, 
-    2918, 3366, 608, 4303, 3921, 0, 2918, 1905, 218, 6687, 5963, 859, 3083, 2987, 896, 5056, 
-    1905, 2918, 4415, 7966, 7646, 2883, 5628, 7017, 8029, 6528, 4474, 6322, 5562, 6669, 4610, 7006
-};
+unsigned short hash_adjust[] = {
+    0,    5628, 7017, 1298, 2918, 2442, 8070, 6383, 6383, 7425, 2442, 5628,
+    8044, 7425, 3155, 6383, 2918, 7452, 1533, 6849, 5586, 7452, 7452, 1533,
+    2209, 6029, 2794, 3509, 7992, 7733, 7452, 131,  6029, 4491, 1814, 7452,
+    6110, 3155, 7077, 6675, 532,  1334, 7555, 5325, 3056, 1403, 1403, 3969,
+    4491, 1403, 7592, 522,  8070, 1403, 0,    1905, 3584, 2918, 922,  3304,
+    6675, 0,    7622, 7017, 3210, 2139, 1403, 5225, 0,    3969, 7992, 5743,
+    5499, 5499, 5345, 7452, 522,  305,  3056, 7017, 7017, 2139, 1338, 3056,
+    7452, 1403, 6799, 3204, 3290, 4099, 1814, 2191, 4099, 5743, 1570, 1334,
+    7363, 1905, 0,    6799, 4400, 1480, 6029, 1905, 0,    7525, 2028, 2794,
+    131,  7646, 3155, 4986, 1858, 2442, 7992, 1607, 3584, 4986, 706,  6029,
+    5345, 7622, 6322, 5196, 1905, 6847, 218,  1785, 0,    4099, 2981, 6849,
+    4751, 3950, 7733, 3056, 5499, 4055, 6849, 1533, 131,  5196, 2918, 3879,
+    5325, 2794, 6029, 0,    0,    322,  7452, 6178, 2918, 2320, 6675, 3056,
+    6675, 1533, 6029, 1428, 2280, 2171, 6788, 7452, 3325, 107,  4262, 311,
+    5562, 7857, 6110, 2139, 4942, 4600, 1905, 0,    3083, 5345, 7452, 6675,
+    0,    6112, 4099, 7017, 1338, 6799, 2918, 1232, 3584, 522,  6029, 5325,
+    1403, 6759, 6849, 508,  6675, 2987, 7745, 6870, 896,  7452, 1232, 4400,
+    12,   2981, 3850, 4491, 6849, 0,    6675, 747,  4491, 7525, 6675, 7452,
+    7992, 6921, 7323, 6849, 3056, 1199, 2139, 6029, 6029, 190,  4351, 7891,
+    4400, 7134, 1533, 1194, 3950, 6675, 5345, 6383, 7622, 131,  1905, 2883,
+    6383, 1533, 5345, 2794, 4303, 1403, 0,    1338, 2794, 992,  4871, 6383,
+    4099, 2794, 3889, 6184, 3304, 1905, 6383, 3950, 3056, 522,  1810, 3975,
+    7622, 7452, 522,  6799, 5866, 7084, 7622, 6528, 2798, 7452, 1810, 7907,
+    642,  5345, 1905, 6849, 6675, 7745, 2918, 4751, 3229, 2139, 6029, 5207,
+    6601, 2139, 7452, 5890, 1428, 5628, 7622, 2139, 3146, 2400, 578,  941,
+    7672, 1814, 3210, 1533, 4491, 12,   2918, 1900, 7425, 2794, 2987, 3465,
+    1377, 3822, 3969, 3210, 859,  5499, 6878, 1377, 3056, 4027, 8065, 8065,
+    5207, 4400, 4303, 3210, 3210, 0,    6675, 357,  5628, 5512, 1905, 3452,
+    1403, 7646, 859,  6788, 3210, 2139, 378,  5663, 7733, 870,  0,    4491,
+    4813, 2110, 578,  2139, 3056, 4099, 1905, 1298, 4672, 2191, 3950, 5499,
+    3969, 4974, 6323, 6029, 7414, 6383, 0,    4974, 3210, 795,  4099, 131,
+    5345, 5345, 6576, 1810, 1621, 4400, 2918, 1905, 2442, 2679, 6322, 7452,
+    2110, 1403, 6383, 2653, 5132, 6856, 7841, 2794, 6110, 2028, 6675, 7425,
+    6999, 7441, 6029, 183,  6675, 4400, 859,  1403, 2794, 5985, 5345, 1533,
+    322,  4400, 1227, 5890, 4474, 4491, 3574, 8166, 6849, 7086, 5345, 5345,
+    5459, 3584, 6675, 3969, 7579, 8044, 2295, 2577, 1480, 5743, 3304, 5499,
+    330,  4303, 6863, 3822, 4600, 4751, 5628, 3822, 2918, 6675, 2400, 6663,
+    1403, 6849, 6029, 3145, 6110, 3210, 747,  3229, 3056, 2918, 7733, 330,
+    4055, 7322, 5628, 2987, 3056, 1905, 2903, 669,  5325, 2845, 4099, 5225,
+    6283, 4099, 5000, 642,  4055, 5345, 8034, 2918, 1041, 5769, 7051, 1538,
+    2918, 3366, 608,  4303, 3921, 0,    2918, 1905, 218,  6687, 5963, 859,
+    3083, 2987, 896,  5056, 1905, 2918, 4415, 7966, 7646, 2883, 5628, 7017,
+    8029, 6528, 4474, 6322, 5562, 6669, 4610, 7006};
 
-unsigned short hash_values[] =
-{
-     148, 2934,  166, 5107, 4628,  166,  166,  166,  166, 3033,  166, 4692,  166, 5571, 2225,  166, 
-    5340, 3423,  166, 3191, 1752,  166, 5212,  166,  166, 3520,  166,  166,  166, 1867,  166, 3313, 
-     166, 3461,  166,  166, 3174, 1737, 5010, 5008,  166, 4344, 2868, 3877,  166, 4089,  166, 5041, 
-    4748, 4073, 4066, 5298, 3502, 1812,  166, 5309,  166,  233, 3493,  166,  166, 3728, 5236, 4252, 
-    4010, 2149,  166,  164, 4580, 3039, 4804, 3874,  166, 6170, 2812,  166, 4334,  166,  166,  166, 
-     166,  166,  166, 1862,  224, 2131, 6081,  166, 2710,  166,  166,  166, 4765,  166, 1964, 5060, 
-     166, 1897,  166, 3987,  166,  166, 5566, 2021,  166,   45,  166,  166, 3283, 3932,  166,  166, 
-    3519,  166,  166,  291,  166,  166, 5132, 2800,  166,  166,  166, 5531, 4054,  166, 3509,  166, 
-     166, 4908, 3028, 1756, 1910, 4671, 2729, 5224,  166,  121, 3327, 3317,  166,  181, 2371, 5541, 
-     166, 1787, 2666, 5134, 5698,  166, 5480, 3870,  166, 3823,  166, 3165, 5343, 5123, 5089,  166, 
-    2422, 3724,  166, 2735, 1953, 5724, 4444, 4871,  166,  166, 5001, 5512, 3133, 5171,  166, 2216, 
-     166, 4877, 4542,  166,  166,  166, 5270,  166,  166,  166, 1922,   69, 3547,  166,  166,  166, 
-     166,  166,  231, 4547, 5155, 3357, 3464,  166,   72, 3332,  166, 4392, 5971, 3896, 4451, 3173, 
-    2569,  166, 4466, 2518, 1698, 2850, 5349,  166,  166, 4457, 5062,  166, 2202, 1650, 2191,  166, 
-    1950, 2583,  166, 5293, 2032, 5893,  166, 3994, 5392, 3878,   96,  166,  166, 3195,  166, 4001, 
-    1900, 2513, 6027,  166,  166,  166,  166, 5407,  166,  166, 2332, 5125, 5891, 3096, 3172,  166, 
-     166, 3065,  166,  166, 4535,  166,  166,  166, 4553, 3131, 3693,  166, 2255, 2613,  166,  166, 
-     166,  166, 2866,  166,  166,  166, 2940, 5333, 3199,  166, 2628, 4312,  166,  166, 1794, 4681, 
-    2058, 3606,  166,  166, 3542, 2166, 4696, 2520,  166, 4739,  166, 2563,  166,  166, 3681,  166, 
-     166,  166, 4127, 1967, 2972,  166, 5227,  166,  166, 5551, 4255,   56,  166, 5553, 3219, 4367, 
-     166, 3218, 4749, 2886, 3695, 3711, 2228,  166,  166,  166, 2268, 5054, 3749, 4825,  166, 4933, 
-    4992, 4530,  166, 4892, 3400,  166,  197,  166, 6078,  166,  166, 3971,  166,  166, 5357, 1852, 
-    3377,  166, 5196, 3740, 5320,  166,  166, 3099,  166, 4562, 6061, 3294,  166,  166,  166,  166, 
-    3266, 3627, 2567,  166,  228, 2773,  166,  166,   53, 1833, 2401,  124,  166, 4272, 3922, 5959, 
-    2903, 3923,  166, 6155,  166,  166,  166,  166,  216,  166, 5247,  166, 5591,  166,  166,   82, 
-      87, 4526,  166,  166, 5439,  166, 4935,  166, 3187, 1869,  166, 1764, 5500, 6023, 3356,  166, 
-    3350, 2457, 2455,  166, 1637,  166, 3342,  166,  166, 3355, 5154,  166,  276,  166,  166,  166, 
-    3371, 5969,  166, 1665,  166,  166,  166,  166,  166,  166,  166, 4092, 1712, 3122, 5086,  166, 
-     166, 4906,  166, 2591,  166,  166,  166, 1894, 2997,  166, 4476, 4384,  166, 4747, 4109, 2655, 
-     166, 5978, 1636, 4898,  166,  166,  166,  166,  166,  166,  166, 5207,  166,  166, 3712, 3876, 
-      91, 5876, 3786, 5998,  166,  166,  166, 4391,  166,  166, 2832, 2220, 4435,  166,  166, 5796, 
-    3156, 6112,  166, 1643, 1821, 3129,  166, 4200,  166, 5857,  166,  166, 2351, 5902, 1855, 5043, 
-     166, 3167, 5191, 3996, 5718, 4876, 3071, 2965, 5735, 5930, 6149, 2345, 3297, 3822,  166,  166, 
-     307, 6019, 1859, 2981, 4914, 3320, 6165, 2328,  140, 2372,  308,  166, 2280, 5081,  166, 3275, 
-     166,  159, 2399, 2327, 5489, 4690, 6059, 4492, 4269, 6058,  166,   19,  166, 3323, 5708,  128, 
-    4812, 2949,  166,  166, 2890, 2630, 5237,  166,  256, 3673, 4621, 5380,  166, 3353,  166, 1651, 
-    2573, 1635, 4011, 3429, 3370, 3720,  166,  166, 6108, 3848, 5104, 2851, 1998,  166,  166, 5106, 
-      20,  166, 2633,  166,  166,  166,  166, 5662,  125, 3651, 1731, 4702,  166, 3197,  166, 2947, 
-    3046, 4196, 2185, 6100,  166, 2602, 2908, 2487,  166, 5232,  166, 4028, 5919,  166, 2680, 3608, 
-    3252,  166, 4899,  166,  166,  166,  166, 2529,  166,  166,  166,  166,  166, 2534,  166, 2299, 
-    4076,  166, 3643,  166, 3921,  166,  166,  166, 1939, 2124, 1829, 2436, 3892,  166, 3481,  271, 
-    5307, 1697,  166,  166, 5098, 2906, 5545,  166, 5980, 3203,  166, 1903, 4626, 4674, 6118, 6097, 
-    5926, 4136, 1677, 3232, 4720,  166,  166,  166,  229, 2012, 3620,  166, 3798,  166,  166, 2609, 
-    3489, 3809,  166,  166,  166,  166,  166,  166,  166, 5826,  166,  166,  166, 4903,  166,  166, 
-     166,  166, 6168,  166, 5052, 5044, 5644, 2375, 2677, 4012, 3062, 5831, 4752,  166, 4125, 2610, 
-    2062, 3238,  292, 2533, 5872,   51,  166, 1947, 4225,  166, 2288, 4845,  166, 5788,  166, 5717, 
-     166,  166, 5549, 5619,  166, 4165,  166, 2721, 2311, 5501, 4416, 4383,  166,  166, 3068, 5499, 
-    5936,  166, 4204, 4766, 4688, 1870, 5220,  166,  166,  166,  166,  237, 2523, 6039, 3061, 2793, 
-    3998,  166, 2545, 2309, 3144, 3679, 3969,  166,  166,  166, 4379, 3574,  205, 2808, 5822,  166, 
-     166, 2188, 4823, 4990, 5561, 5711,  166, 5627, 6034, 5253, 3783, 5047, 4405,  166,   59, 1755, 
-    3178,  318,  166, 4710, 2933, 3409, 6062, 2821,  166, 6099,  166, 4178,  166,  166, 4122,   36, 
-    4779,  166,  166, 4323, 3073, 5410, 2101,  166,  166,   44, 5690,  166, 3265,  166, 5222, 5909, 
-    1838,  166, 4755, 2215,  166, 4082,  166,  166, 3210, 5140, 3124, 5238,  166, 5913, 2321,  166, 
-    2416, 5976, 3918, 5078, 4218, 5703, 4897, 6011, 5685, 2214,  166,  166, 6180, 5175, 1715,  166, 
-     166, 3760, 4497, 1808, 4826,  166, 2540,  166,  166, 5513, 4971, 5915,  166,  166, 2525,  166, 
-    4480,   42,  232, 2412, 2797, 3229, 5263, 2852, 5543, 2126, 3562,  166, 2872, 4695, 5985, 5136, 
-    2714, 4262, 5473,  166, 4160, 4347,  166,  166,  166,  166, 5271,  166,  166, 5108,  166,  166, 
-     166,  166, 5437, 4875, 3963, 4362, 5820, 5559, 4890, 4728,  166,  166, 2692,  166, 4870, 3591, 
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-     166,  166,  166,  166,  166,  166, 5617, 2860,  166,  166,  166,  166, 3629, 1741,  166,  166, 
-     183, 4973, 3047, 2854,   75, 2035, 3652, 2159,  166, 4150, 6037, 3225, 4519, 1902, 2678, 2413, 
-    1961,  166,  166,  166,  166, 4972, 1847,  166, 5636, 4017,  166, 3345,  166, 4520,  166, 2861, 
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-    3354,  166,  166, 3983, 1702,  166,  166,  166, 2393, 2435, 4202, 3308, 5805, 5085,  166,  166, 
-    1938,  166,  166, 2171, 5892, 2337,  166, 4648, 3116, 2486, 4363, 3567,  166,  166, 2822, 2041, 
-     166, 4703, 3956, 5192,  166, 3975, 5720, 3647, 2134, 5932,  166,  166, 5160,  263,  166,  166, 
-     166, 4549,  166,  166, 1701, 3086,  166,  166, 4737,  166, 2252,  166,  170,  166,  166,  166, 
-    2301, 5478,  166,  166, 5979, 3007,  166,  166,  166, 4104,  166, 2469, 2700,  166, 4998, 3376, 
-     166, 1840,  166,  166, 4470,  166, 5235, 3930,  166,  166,  166, 6031,  166,  166,  166, 3827, 
-    4700,  166,  166,  166,  166,  166,  166, 4103, 3976,  166,  166,  166,  166, 5027, 4322, 5130, 
-     166, 4741, 2132, 4118, 3080, 4137,  166, 6179,  166,  166,  166,  166,  166, 6120, 4188,  166, 
-    2251,  166, 3253,  166, 4887,  166, 4293, 5241,  166,  166,  166,  166,  166,  166, 5076,  166, 
-     166, 4177,  166,  221,  166, 2757, 5377,  166,   43,  166,  166, 3180, 5540,  166,  213, 4541, 
-     166,  166,  166,  166,  166, 1641,  166, 4578, 4639,  166,  166, 1683, 2139, 1689, 5249, 5773, 
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-     166, 4795,  166, 2118, 3920,  166,  166, 4667, 5046,  166,  166, 2088, 4360, 5787, 2198, 4233, 
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-     166, 5751, 4313,  166, 3855,  166,  166, 6171,  166,  166, 5381, 3941,  166,  166,  166,  166, 
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-    2873,  166,  166,  166, 2693,  166, 3543,  166, 2577, 3013,  166,  166, 4594, 2622,  166,  166, 
-     166, 3401,  166,  166, 5447, 5328, 5547, 6133, 2335, 3739,  166,  166,  166,  166, 5614, 3492, 
-    3610, 3466,  166, 5336, 4354,  166, 4662,  166,  166, 4283,  166,  166,  303, 5904,  166, 2717, 
-     166,  166, 2276, 5564, 2386, 5661, 2040,  166, 1630, 4652,  166, 4840,  166,  110, 5329, 3979, 
-    5734, 2550,  166,  166, 6007, 5999, 2978, 4771, 5360,  166, 4023,  166,  166, 5920, 4065,  166, 
-    3880,  166, 5422, 1813,  166, 6166,   73,  166,  166, 3669, 5762, 5077,  166, 2953,   85,  166, 
-    3517,  166,  116,  166, 2738, 3710,  166, 1634,  166,  166,  166, 2290, 3001,  166,  166, 3037, 
-    2400, 3410,  166, 1791, 4231,  166, 3546, 5009, 5299, 2807,  166,  166, 1675, 1619, 2374, 3093, 
-    5302, 3278, 2330, 5301, 2343, 2307, 3274, 5017, 2265, 3700, 2465,  166,  139, 4292,  166, 5056, 
-    3952,  166, 4528, 2388, 1886,  166,  166, 3016, 3698, 5881,  166, 2379, 3223,  166,  166, 3847, 
-    2407, 5493, 3183, 3307,  166,  265,  166, 2421, 6161, 2057, 5363, 3863, 2474,  166,  166, 5427, 
-     166, 2140, 2955,  166, 3070, 4237, 5018, 5988, 5570,  275, 4862, 2357,  166,  195,  166, 2593, 
-    6047,  166, 2878,  166,  166, 2781, 3004, 4180,  166, 5593,  166, 5973, 2544, 5064,  166, 4324, 
-    4701,  166, 3084,  166,  166, 5372, 4725,  166, 5650,  166,  166, 2786,  166, 3781, 3583, 3682, 
-    1850, 4420, 3296, 5173, 4461,  166,  166,  166, 2984,  166,   93,  166,  166, 4336, 5943, 2922, 
-    3300,  166, 4843,  166,  166,  166,  166, 2094,  166, 2939,  166, 4656,  166, 5146,  166,  166, 
-     166,  166, 2104, 3977, 4660, 5312,  166, 1865,  166, 5487, 5558, 3380,  166, 1957, 3162, 3281, 
-     166, 3588, 3268, 2099,  166,  166, 2319, 4913, 4187, 5503, 5782,  150,  166,   52, 5450,  166, 
-     166,  166, 2941, 5877,  166, 4031, 5393,  166, 3931, 4166, 3135, 3445,  166, 5053, 5430, 4836, 
-     166, 5315, 3389, 4636,  166,  166, 3441,  166,  166, 3767, 2961,  166, 4761, 4604, 3179,  166, 
-     166, 4751, 2148, 2015,  166,  123, 5013,  166, 2936,  166, 2063,  166, 5823,  166, 5096,  166, 
-     166, 4198,  166,  166,  166, 3845,  166,  166,  238,  166, 2703, 3541,  166, 4813,  166, 4477, 
-    2349, 4197, 5996, 3324, 4789, 3063,  166,  166, 5504, 5273, 2805,   13,  166, 5601, 5402, 4119, 
-    5206,  166,  166, 4251, 3704, 4176, 1963, 2882,  166,  202, 3125, 3318,  112,  166, 3362, 4835, 
-    3420, 3974, 5099,  166, 4433,  166,  166,  166, 1766, 2663,  166,  166, 4683,  166,  166, 5485, 
-      47, 5101, 5341, 5765, 3390, 1648, 4341, 3945, 6045, 1645,  166, 5578, 2594,  166,  166, 3772, 
-     166,  166, 3196, 3603,  166, 5399,  166, 5075,  166, 5911, 4632, 4781, 5313,  270,  166, 2346, 
-     166,  166,  166, 1986,  166,  166, 4958,  166,  166,  166, 4048,  166, 3076,  166,  166, 4891, 
-     166,  166,   57,  166,  220,  166,  166,  166, 4117,  166,  166,  166,  166, 5194, 2658,  166, 
-     166, 2942, 6071, 4182,  166, 2976, 5816,  166,  166,  166,  166, 3985, 4211, 2514,  166,  166, 
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-     166, 2999, 2404, 4734, 4455, 2087,  166, 2405,  156,  166, 2830, 3303,  296, 3295, 2067, 4268, 
-     166,  166, 5642,  166,  166, 1901,  166, 5133,  166,  166,  166,  166, 3176, 2973, 4677,  166, 
-     166, 6164, 3000, 2396, 2734, 5697, 5989,  166, 2823, 5265, 5852,  166,  166, 2623, 2625, 2287, 
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-     166, 4948, 5640,  166,  166, 3572, 4258,  166,  166,  166, 5204,  166, 4603, 5797,  166,  166, 
-     166, 1725, 4600,  166,  166, 5498,  166, 4152,  166,  172, 4758,  166, 2598, 2489, 2076, 4366, 
-    2568,  166, 4352, 3782,  166,  166, 3059, 3946, 5138, 5727, 4484, 5694,  166, 3796,  166,  166, 
-     166,  166, 5334, 1778, 2245,  166, 4517, 4419, 2250,  182, 5856,  166, 2835, 4495, 1858, 2033, 
-    6014, 6086, 3211,  166,  166,  154, 2145,  166,  129, 3661, 2661, 5860, 6143, 2640, 3890, 6160, 
-     166,  166, 2747,  166,  166, 2291,  282, 2476,  166,  166, 3825,  166, 1925,  166, 4489,  166, 
-     166,  166, 4034,  166,  166,  166,  166,  166,  166,  122, 4708, 4919, 2373, 2453, 5419, 5954, 
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-    4020, 5495, 5815,  314,  166, 3190, 4824,  166,  166, 3448,  207, 1623, 6096, 5878,  166, 1836, 
-     166,  166, 2728,  166, 5278, 3419, 3012, 5618, 5266, 3078,  166,  166, 2244,  166, 4569, 6068, 
-     166, 3336,  166, 5677, 6052, 5079,  166, 5453, 5245, 5799,  166, 1982,  166, 5958, 4619, 5821, 
-     166, 5285,  284, 1631, 5710, 6070, 5365, 2189, 3242,  166, 2752, 5483, 5297, 6150, 5522,  166, 
-    1815,  166,  166,  166, 5801,  166,  166, 5398,  166,  166,  166, 2967, 2515, 3169,  166,  166, 
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-     166, 2286, 1716, 3903,  166, 2395,  286, 3587, 6146, 3286, 4186, 5882, 5894, 5737, 6032, 5879, 
-    2761, 4829, 3788,  166,  166, 3233, 5356, 5693,  166, 2429, 2449,  141, 3444, 5186,  166,  166, 
-    3477, 4080, 4584,  166,  166, 3670, 1851, 3824, 4337, 3886, 2792,  166, 5867,  166,  166, 3557, 
-    3147,  166,  166, 2200,  166, 2505,  166, 4310, 4865, 5656, 5992, 5672,  166, 5199,  135, 3023, 
-    2994, 4472,  166,  166,  166, 2019, 4319, 3472,  166,  166,  166,   29,  206, 3944, 3027, 5804, 
-    4731, 5449,  166, 2825, 3310,  166, 6172, 5202,  166, 2516, 3644, 4557,  166,  166,  166,  166, 
-    2671, 4427, 3432, 3276, 5584, 5536, 4645, 3202,  166, 2612,  166, 4249, 2425, 3259, 4622,  166, 
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-    1871, 3421, 2208,  166,  166,  166,  166, 4881,  166,  166,  166,  166, 3298,  166,   61,  166, 
-     166,  166, 3293, 6145,   71, 3619,  166,  166, 3383, 1624,  320, 2187, 4113,  166,  166,  166, 
-     166,  166, 5080, 2344, 5625, 2358, 1621, 4230, 5579, 5359,  295, 4248, 5267, 3883, 6124,  187, 
-    5112, 2122,  166,  166,  166, 5142, 6004,  166, 5322, 6175, 3639, 3182, 4425,  166,  175,  166, 
-     166,  166, 5778, 3939, 3484,  166,  166, 5832, 5248, 5935, 4467, 5858,  166, 5038,  166,  166, 
-    3102,  166, 4880,  166,  166,  166,  166, 3418, 1666, 5338, 3680, 5291, 4441, 3385,  166, 5733, 
-    4503, 2774,  166, 2631, 4153,  166, 2000,  166,  166, 5345,  166,  166, 4298, 1804, 4707,  166, 
-    1613, 1952, 2111,  166,  166,  166,  166,  166, 2897,  166,  166, 4044,  166,  166,  166,  166, 
-    2863, 5475,  166,  166,  166, 1704,  166, 3609, 2782, 2018,  166, 5361,  166, 3694, 3733,  166, 
-    2785, 1969,  166,  166, 2834, 1868, 3779, 1877,   60,  166, 4143, 3902,  166, 4361, 3188, 2498, 
-    6009,  166,  115,  166, 3138,  166, 4575, 6080,  133, 2030,  166,  166,  166, 2306, 2136, 3043, 
-    3447, 2142,  166, 3799, 1646, 5269, 3640,  166, 2674, 5502,  166, 5467,  166, 5069,  166,  166, 
-    4654, 4581, 5274, 5036, 4364,  166, 3115,  166, 2128, 4544, 5433, 2086, 2584, 4413,  166,  166, 
-    5385,  166,  234,  166, 1625,  166,  166,  166, 5139, 2511, 4974, 2766,  166,  166,  166, 2095, 
-    3990,  217,  166, 2988, 4061,  166,  209, 4883,  166,  166,  166,  166,  166, 4326,  166, 5465, 
-    2859,  166, 2887,  166, 2231,  166, 1658,  166, 2246,  166, 1844,  166,  166, 3087, 2871, 3872, 
-    1660,   48,  166,  166, 3622,  166, 1709,  166,  166, 6177, 6173,  166, 3569,  166,  166,  166, 
-     241, 3660, 3631,  166,  166, 5319, 5141,  174,  166,  166, 4412,  166, 5145,  166, 1919,  166, 
-    5276,  166, 2385,  166, 1618,  166,  166, 2501,  166,  166, 1734, 5966, 3145,  166, 1690, 4025, 
-    1664, 4559, 2433, 2392, 3552, 4006, 1896,  166,  166, 2546, 4450, 5396, 4221, 4046,  166,  166, 
-    2642,  166, 4448,  166, 2784, 3480, 4807,  166,  166, 3534,  166,  166, 5272,  166,  166, 2831, 
-    4263,  166,  166,  166,  166, 4414, 5628, 3486,  166, 3748,  166, 4598, 3719, 3598, 3611,  166, 
-    4792, 5059, 4110,  166, 2656,  166,  166,   84, 5429,  166,  166,  166,  281, 1955,  166,  166, 
-     166, 3616, 4997,  166,  166,  166,  166, 3230,  166,  166,  166,  166,  166,  166,   77,  166, 
-     166,  166, 1800,  166, 4236,  166,  166,  166,  166,  166, 5757, 2530, 1662,  166, 4607, 1659, 
-     166, 1685, 3341,  166, 1699, 4058, 3407, 1854, 4417, 3034,  166,  166,  166,  166, 5568,  166, 
-    3206,  166, 5529,  166,  166,  166, 2116, 3487,  144,  166,  166,  166, 5523, 5373, 5321,  166, 
-    6064, 2921,  166, 1696, 2473,  166,  166, 3716, 5689,  166, 4608, 3879,  166,  166,  166, 2156, 
-     166, 4358, 2446,  166, 3958,  166, 5520, 4340, 4848,  166, 3285,  166, 2665,  166, 3459, 1905, 
-    5115,   68, 5730,  166, 3127, 5029, 4370,  166, 3753,  166, 3674, 6025, 4490,  166, 4183,  166, 
-      94,  166,  166, 4051, 3766, 3140, 4907, 3857,  166,  166, 4596,  166, 3888, 3040, 2507, 5643, 
-     166,  166, 4311, 2618, 5582,  166,  166, 3678,  166, 1988,  166,  166, 4464,  166,  166,  166, 
-     166, 4278, 3677, 2173, 5256,  166,  166, 5162,  166, 5178, 1644, 5094,  166, 2557, 5506,  166, 
-     166,  166, 4927, 5348, 1797,  166,  166,   39,  166, 3866, 3655,  236, 5403, 2175, 3361,  166, 
-    1976, 5993,  226,  166, 4643,  166, 5339, 4098, 2653, 4969,  166, 3346, 4984, 4635,  166,  166, 
-     166,  166, 4981,  188,  166,  166,   28, 4088,  166,  166,  166,   25, 3663, 2696,  166, 4679, 
-    5114, 5802,  166,  166,  166,  166,  166, 3810, 5749,  166, 1673, 4276,  166, 3756, 4184,  166, 
-    5630,  166,  166,  166, 4531,  212, 5663,  166,  166, 2746,  166, 5386, 3618, 3594, 1887,  166, 
-     166, 5443,  166, 1726, 4094, 5065, 4756,  166,  166, 5308, 5225, 2081,  166,  166, 3064,  166, 
-     166, 1981, 3637, 4355, 1626,  166,  166, 4686,  166, 5793,  180, 5066, 2938, 3819, 4904, 3601, 
-     166,  166, 2495, 5025, 5768, 2621, 4650, 3041,  166, 5897, 3633,  166,  166, 4375,  166, 5714, 
-    1667, 3273, 3950, 1668,  166, 5855,  166, 2364,  166, 1881,  166, 2646, 5460,  166, 2770, 4951, 
-    5414,  166, 4442, 2113, 5726,  298, 5934, 2053,  166,  166, 4053,  166,  166, 4514, 4697,  166, 
-     166, 5198, 2707,  166, 5605,  166,  166, 5218, 2596,  166, 2110,  166, 1806, 2160,  166,  166, 
-    2212,  166, 3636,  166,  166, 4377, 4021, 3707, 4502,  166, 4195,  166,  166,  166, 4108, 3725, 
-    3676,  166, 2084,  166,  166,  166,  166, 4216,  166,  166, 6156,  166, 2896,  166,  166,  166, 
-     166,  166,  166, 3826, 2870, 3793,  166,  166, 5927,  166, 2759,  166, 4613, 2297, 5638,  166, 
-    2842, 5031, 4793, 5184,  166,  166, 2008,  166,  257, 2881,  117, 6051, 3044, 4079, 2833,  166, 
-    6117,  166, 3236, 5469,  166,  166, 2874, 6076,  166, 1799,   80,   41,  166, 1864,  166, 5709, 
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-     166, 4140,  166,  166,  321,  166, 1966,  166,  166, 2855, 3111, 3800,  166, 4446, 2551,  166, 
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-     166,  166, 3338, 3482, 3328,  166, 4817,  166, 5371, 3830,  166, 3009, 1633, 3329, 4052,  166, 
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-    4295, 3391,  166,  166,  166, 5282, 1747, 3159, 2235, 5583, 1786, 3630, 6111, 2974, 4797, 3623, 
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-    2458, 3803, 4554, 4988,  166,  166, 3141, 3491,  166,  166,  166,  166, 5095, 4668, 5567,  166, 
-     166, 2885, 1790, 2996,  166,  166,  166,  166, 3737,  166, 2470,  166,  166, 4339,  166,  166, 
-     166, 4920,  166,  166, 3697, 5471,  166,  166, 3538, 4558, 3467, 5262, 5609, 3858,  166,  166, 
-    5007, 2780, 2791, 2236, 5668, 3134,  166,  166, 5776, 3470, 3291,  166, 2532,  166,  166,  166, 
-    3805,  264,  166, 3227,  166,  166,  166, 2334,  166, 5087,  101,  166, 3634,   58, 2813,  166, 
-     166,  166, 3222, 4704, 4488, 4508, 5459, 2117, 5873,  166, 1828,  166,  166,  166,  166,  166, 
-    2105,  166, 5613, 5761, 2920, 3098,  166,  166, 3277,  166,  166,  166,  166,   83,  166,  166, 
-     166, 3967,  166, 5574,  166, 4985,   30, 3426,  166,  179, 3014, 4015,  246, 2556, 4449, 3723, 
-    5611, 3436,  166, 4240, 3642,  166, 4536, 2048, 5810,  166, 1971,  166, 5557, 5323, 5022,  191, 
-    5492,  166, 4837, 4426, 2537, 2271, 3177, 5674,  166, 2796, 1995,  166, 3906,  166, 4403, 3862, 
-    4716, 2406, 3948, 4670, 4309,  166, 2575, 5358, 2951,  166, 3666, 3612, 5577, 4579, 4743,  166, 
-    6072, 6036, 4563, 2586,  166, 5836,  166,  166, 5752,  166, 3563,  166, 2909, 3251,   92,  166, 
-    4711, 4149,  166,  166, 3052, 5122, 2904, 2635, 1990,  166,  166,  166,  166,  166,  166,  166, 
-     166, 4213,  166, 3103, 3142, 2683, 6105, 2209, 3175, 4215,  166,  166,  166,  166,  166,  166, 
-     166, 5303, 4075, 5374,  166, 4174, 4154, 1895, 4538, 2764,  166, 5817, 6113, 4033,  166, 6090, 
-     166, 2990,  166, 3164,  166,  166,  166,  247,  166, 6083, 3412,  166, 5738,  166, 3599,  166, 
-    1904, 2162, 2547, 3960,  166,  166, 3154,   55,  166, 5991, 4921, 2879,  166,  166, 5347,  166, 
-     166,  166, 2712, 4787,  166, 1908,  166,  166,  166, 3184,  166,  166,  166, 4572, 3846, 3657, 
-     166,  166, 5481,  166,  166, 3397, 1856, 4978,  166, 3900, 3570, 3802,  166,  166, 2075, 4408, 
-     166, 6079, 2313,  166,  166, 5756,  166,  166, 2070,  166,  166, 3137,  166,  166, 3686,  166, 
-     166,  166,  166,   67, 5019,  166, 1742,  166, 5354,  166, 5149,  166, 2931, 4946, 6006,  166, 
-     166, 2865, 4902, 3029, 1722, 3449,  166, 1987,  166,   62, 5626,  166,  166,  166, 2670, 1657, 
-    5599, 3056,  166, 3791, 5020,  166, 1979, 4437, 1899,  166,  166,  196, 2636,  166,  143, 3475, 
-    4317, 2512, 2415, 5033, 5024, 2112, 2864, 3551,  166, 1688,   33, 4585, 3648, 4399,  166,  166, 
-     166,  166,  166, 1824,  166,  166,  166,  166,  166,  166, 4513,  166, 2478, 4407,  166,  166, 
-    2492, 4130, 4318, 2980, 5746,  166, 2606, 4063, 4123,  166,  255,  166,  166, 4680,  166, 3586, 
-    5975, 3935,  166, 5528,  166, 3158,  166,  166, 2614, 5035,  166, 3488, 3214,  166,  166,  166, 
-    5413, 3713,  166, 5875, 4329, 5250,  166,  166, 3741,  166,   54, 1885, 3839,  166, 4924,  166, 
-     166,  166, 4158,  166,  166, 2152, 1661,  166,  166, 4327,  166, 3933,  166, 5666,  166,  166, 
-    2580,  166, 3404, 4111, 2862, 4438,  166,  166, 4072,  166,  166, 3938, 2958, 4302,  166, 3851, 
-     166,  268,  166,  166, 1975,  222, 3204, 3438, 4616,  166, 4275, 3101, 2648, 3989, 5215,  166, 
-    4229,  166, 5440,  166, 5093, 2639,  166,  166, 4439,  166, 2316, 4239,  166,  166,  166,  166, 
-     166, 1817, 4486,  166, 3272,  166,  166, 4085, 2078, 2902,  166,  166,  166, 4381, 1853, 3054, 
-     166,  166, 5005, 2669,  166, 2856, 2706,  166,  166,  166, 4185,  166, 1748,  166,  166,  166, 
-    5771,  166,  166, 3915,  166,  166, 2205, 6122,  166,  166, 1632, 5400,  166, 2477, 4740,  166, 
-     166,  166, 1802,  166, 2472, 3953,  166, 1849, 2604, 3780, 2560, 4786, 2566, 3576,  166, 4768, 
-     166, 1951,  251, 5068,  166,  166,  166, 2619,  166,  166,  166, 5432,  166,  166, 5260, 5758, 
-    3908,  166, 4141,  166, 5777,  166,  166,  166,  166,  166, 3961, 5143,  166, 3889, 3747, 3743, 
-     166, 2818,  166,  166,  166, 3867,  166,  166, 3742, 4763, 2948, 5533,  166, 3966, 3555, 3843, 
-    3503, 6005,  166, 4687, 2790, 4479, 5828, 3769, 5688,  166,  166,  166,  166, 3109,  166,  166, 
-     166,  166, 4574,   81,  166,  166, 4576, 3369,  166,  166,  166, 4207,  166, 5072, 2210,  166, 
-     184,  166, 4673,  166,  166,  166,  166,  166,  166, 1628, 3590, 1916, 4784, 4970,  166, 1832, 
-     166,  166, 3584, 3384,  166,  166, 2880, 1783,  166,  166,  166,  166, 6115, 6121, 2157, 5428, 
-    5859, 4861, 5635, 4331, 5839, 4223,  313,  166,  166, 6152, 2168,  166, 4112, 6089, 6012,  166, 
-    5294, 3207,  166,  166, 4884,  166, 4655,  166,  166,  166, 1743,  166, 4077,  166, 4631,  166, 
-     166, 2957, 1945, 4936,  166,  166, 5389,  166,  166, 5955,  166,  166, 1639, 2207, 4129,  166, 
-    3582, 5560, 6147, 3088,  166,  166, 4529, 5259, 3118,  166, 3106, 2853,  166, 1845, 5660,  166, 
-    3325, 3973, 2461, 2163,  166, 3083, 4190,  166,  166, 5505,  166,  166, 3226, 5507,  109, 6141, 
-    3991,  166, 4939,  166,  166, 5889, 3986,  166, 3664, 4353, 2056,  166, 5071,  166,  166, 4376, 
-     166, 1958, 2028,  166,  166, 1793,  166, 5252, 3536,  166,  166, 3525, 3580,  166,  166,  166, 
-    1782, 5174, 2011, 1826, 3352, 3231,  166,  166, 4986, 2068, 2801,  166, 2500,  166, 5061,  166, 
-    2263, 2632, 1993,  166, 2715, 4424,  166,  166, 6042, 4661,  166, 5074, 5479, 4822,  166,  166, 
-     166,  166, 5600, 5853,  166, 1907,  166,  166,  166, 3808,  166, 5997, 5032, 4605,  166, 1732, 
-     166,  166,  166, 3015, 5454,  166,  166,  166, 3806, 5444, 2238, 1946,  166,  166, 3221, 4922, 
-     166, 6092,  166,  166, 4007,  166, 3425, 4282, 2571,  166, 1749,  166,  166,   38, 4744, 4900, 
-    4257,  214, 5687,  166, 2490, 2979, 2924,  166, 4714,  219, 5344, 3836, 3302,   78, 1984, 2986, 
-    2960,  166, 2869, 3507, 3335, 4967, 2892, 2723, 4849, 5070,  166,  166, 4629, 3815,  166, 4453, 
-    4760,  166, 3224,  130,  166,  166,  166,  166,  166, 3408, 2494, 2691,  166, 4325, 2932, 5165, 
-    5573,  166, 4769,  166, 5411, 5637, 2050,  166,  166, 2305,  166,  166, 4834,   24, 4693, 3554, 
-    2491, 1738,  166,  166,  166,   23, 2758, 3072, 2564, 4800, 5537, 3545, 4133,  166,  166,  166, 
-    5982,  166,  203,  166,  166,  290,  185,  166, 3774, 1929, 3379,  166,  166,  166,  166, 3002, 
-     166, 3738,  166,  166, 3344, 4942, 5353, 2777, 2839, 4712, 1830, 2664,  166, 5884, 3516,  166, 
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-    6148, 3257,  254,  166, 5180, 6153, 5964,  306,  166, 6123,  166, 5208,  166, 3163, 5938, 1736, 
-     166, 2502, 4910,  166,  166, 2549,  166, 2900, 3632, 3270,  166, 2082, 5953,  166,  107, 5750, 
-     166,  166,  166, 5527, 1751, 4168, 2950,  166, 2659,  166, 4189, 1943, 2595,  166, 4191,  166, 
-     166,  166,  166, 2998, 2296, 5221, 3617,  166, 5435, 2451, 2009, 3005, 2242, 3768, 3658,  166, 
-     166,  166,  166,  166, 2481, 2256,  166,  166, 4074,  166, 3120,  166, 4409, 1759,  166,  166, 
-    1679, 3659, 3499, 5219, 4501, 3082, 2047,  166,  166,  166, 4560, 2768, 5251,  166,  166,  166, 
-    2437, 3993, 3215, 2447,  166,  166,  166, 2993, 4963,  166, 3045,  166,  166,  166,  166,  166, 
-     166,  166, 5521,  166,  166, 4868,  166, 3895,  166, 6131, 3949, 3306, 3785,  166,  166, 4895, 
-    4831,  166, 1772,  166,  166, 5928,  166, 2137, 4805, 2462,  310, 2667, 3561,  166,  166, 2312, 
-    4931, 5255,  166,  166,  166, 5670,  166, 2285,  166, 4672, 5310,  166, 2103, 2174,  166,  166, 
-     166,  166, 5417,  166, 4726, 4203,  166,  166,  166, 5581,  166, 5665,  166,  166, 5747,  166, 
-     166, 2509, 1973, 2749, 5463,  166,  166, 4567, 5014,  166, 3322, 3051,  166, 4090,  166, 3709, 
-    3887, 3478,  166,  166,  166,  166, 3565, 3934,  166,   32,  166,  166,  166, 2239,  166, 3947, 
-    3849,  166, 2022,  166, 2169,  166, 4691,   98,  166, 3804, 4155, 1640, 4002,  166, 2138, 1739, 
-    3730, 5970, 2274, 4873, 3119,  166, 4925, 3577, 3699, 4049, 3982,  166, 5161, 1744,  166,  166, 
-     166, 5704, 4979, 2686, 5383, 5744, 2289,  166,  166,  166, 3927, 2539,  166,  166,  166, 2585, 
-     166, 4723, 3755, 4509,  166, 4961, 2194, 2535,  166,  176,  166, 4494,  166, 4171,  166,  266, 
-     166, 3454, 5369,  166,  166, 5899, 5284,  166, 3607, 3566, 5514,  166, 1843,  166, 3997, 4599, 
-    2743,  166, 2857, 2497, 2751,  166,  166,  166, 3511, 5742,  166,  166,  166, 4504,  166,  166, 
-     166, 5082, 4401,  166,  166, 5431,  166,  166, 1949, 4539,  166,  166, 4852,  166,  166, 3457, 
-     166, 3433, 4669,  166, 1692, 2454, 3258, 6159,  166,  166,  166,  166,  166, 2788, 4350, 3249, 
-    3816, 4893,  166, 4846,  166, 4993, 1708, 4138,  166, 2895, 2891,  166, 1860,  166, 2480, 1927, 
-    3853,  166,  166,  166, 5100,  166, 3143, 5159,  166, 4286, 5182, 5246, 4975,  166, 2905,  166, 
-    4917, 5102, 2044, 6016, 5673, 2005, 5090,  166, 4634, 3333,  166, 5702, 3413, 1762, 6094, 4284, 
-    4431, 2641,  166, 4463, 5691,  166,  166, 3442, 3473, 4192, 2046,  166, 3838,  166, 3217, 3349, 
-     166, 2243,  166, 3490,  166,  166,  166, 5922,  166,  166,  166, 4885, 1798, 2884, 2750, 5004, 
-    2741,  166,  166, 5649,  166, 4410,  166,  166, 3382,  166,  166, 1913, 1703, 5532, 3770,  166, 
-    5116, 2645, 2634, 4357, 5901,  166,  166, 5538,  166,  166,  166, 6028,  166,  166, 5840, 4102, 
-    2704, 2091, 5287,  166, 4757, 2282,  166, 2650, 3528,   64,  253, 3732,  166,  166,  166,  166, 
-     166, 3465,  166,  166,  166, 5848, 3110,  111,  166,  166, 3403, 2926, 6030, 3366, 1948, 4430, 
-    5509, 3250, 3972, 2587, 3579,  166, 6048,  250, 5275, 4242, 2615, 3112, 3558,  166,  166, 2342, 
-     166, 5157, 1917, 2733, 5647, 1934, 5675,  166, 3981, 2923, 5213, 5326,   37,  166, 5288, 3069, 
-     166, 1923, 5755,  166,  166,  166, 1888,  166, 6041, 5895, 5376, 3727, 3901,  166, 5589,  166, 
-     166, 4609,  166,  166,  166, 4706,  166, 4482, 1622,  166,  171,  166,  166, 4646, 4151, 2755, 
-    4614,  166, 2072, 5409, 4469, 1647, 4434, 4633, 1915,  166, 3615, 4808,  166, 3388,  166, 5280, 
-    2731,  166,  166, 2417,  166,   14,  166, 4533, 5126,  166, 2778, 3022,  166,  166,  166, 4830, 
-    4764,  166,  166,  166, 4982,  166, 4265,  166, 2466, 5678,  147, 1883,  166,  166,  166,  114, 
-    4000, 2427, 3597,  166, 4853, 5981,  166, 2023, 2519,  166, 1937, 2221, 4676,  166, 4522, 5716, 
-     166, 2432, 5731,  166, 6020, 6163, 4351, 2442, 4380,  166, 4390, 1882, 6139, 4246,  262,  166, 
-    1676, 5781, 2352, 1956,  200,  166,  166, 5800, 6184,  166, 2355,  149, 5962, 5524, 4238,  166, 
-    5150,  166, 5888, 2423,  166, 5739, 3192, 4142,  166,  166,  166, 3201,  161, 4460, 2459,  158, 
-     166,  166,  166,  166, 2689,  166,  166,  166,  166, 1889,  166,  166, 3374,  166,   70,  166, 
-    2772,  166, 2995,  166, 2384, 4989,  166, 3299,  166,  166,  166,  166, 3614, 3645, 3415, 3160, 
-    1727, 3735, 5201, 1693, 3531,  166,  166, 1776, 3871,  166,  166,  166,  166,   86, 3553,  166, 
-     166,  166, 3392,  166,  166, 2232,  166, 4977, 2333, 3394, 2875, 2027, 5736,  166, 1719,  166, 
-    4952, 2061, 2150, 5526,  166, 4637,  166, 4333,  166,  166, 4733, 4809, 3911,  166, 3460,  166, 
-    5355, 3126, 4181, 4436,  300,  166, 3841,  166, 4770,  126, 5654,  166,  166,  166, 1730,  166, 
-     166,  166, 5610,  166, 6002, 2197, 3807, 6109,  166,  166,  166,  166,  166, 5395, 4004,  166, 
-      46,  166,  166, 2570, 4736, 5318, 4247,  166,  166,  166, 2293, 3031, 4591,  166,  245,  166, 
-    5510, 1616, 3117, 4163,  166,  166, 4759, 3462, 4819, 4947,  166, 3128, 5946, 2278, 2969,  166, 
-     166, 5183,  166,  166, 1729,  173, 2448,  166,  230, 2971,  166,  166, 5397,  166, 4093, 3348, 
-    1866, 4280,  166, 6067, 3794,  166,  166,  166, 4729,  166, 3456,  166, 2394,  166, 4953,  166, 
-     166, 2258, 4863,  166,  166, 4060,  166, 5468,  305,  166, 6134,  166,  166, 2326,  166, 3453, 
-    2167, 2845,  166,  166,  166, 5597,  166,  166,  166,  166, 5462, 2809, 5994, 2899,  166,  166, 
-     166, 5153,  166,  166, 1638,  166,  166, 4938, 3795,  166, 3842,  166,  166,  166, 2769, 3194, 
-     166, 4745, 5508, 5604, 3910,  166,  166, 4147, 3239,  166,  166, 3548, 3859, 2092,  166, 2705, 
-     166,  166, 3625, 4131,  166, 3513,  166,  166, 2987, 4555, 3107,  166,  166,  166,  166, 5713, 
-    4698, 3079,  166, 5342,  166,  166, 2673, 2517, 2745, 1795,  166,  166,  166,  166,  166,  166, 
-    2463,  166,  166, 2445, 5425, 6138,  166, 2687, 3254, 5871,  166, 2387, 4300,  166,  166, 3529, 
-    1996,  166, 2369, 3818, 6126, 1615, 2643,   65, 4297,  166, 5324, 3311, 3852,  166, 3868, 4199, 
-    3978,  166,  166,  166, 5466,  166,  166,  244,  166, 5929, 6157, 2390, 5639, 2267, 2073, 4610, 
-    5774, 2521, 4556,  166, 4545, 4307, 2426, 2450,  166, 5783, 4968, 6176, 4156,  166,  166, 4126, 
-    3549,  166, 3581, 5701, 3234,  166, 4013, 1879,  166, 6104, 5874,  166,  166, 3485, 4279, 2528, 
-    5576,  166, 3992,  166, 3980, 4934,  166, 2176, 4228, 5164, 3784, 1933, 4120, 5055,  166,  166, 
-    5015,  166,  166,  166, 2310, 1754,  166, 6087,  166,  166, 4548, 5268, 2930,  166, 3656,  166, 
-    3042, 5229,  166, 4016, 2195,  166,  166,  166,  199, 1745, 3717,  166,  166,   74, 2668,  252, 
-    4124, 4657, 5223,  166, 2186, 3628,  166,  166,  166, 4222, 3114, 2841, 5103, 3171, 5135,  166, 
-     166, 2273,  166, 3899, 5332, 5842, 3575, 2579, 2431, 2464, 2229, 3604, 4561, 2977, 2815,  166, 
-    3916,  166, 5825,  166, 1694,  166, 4030,  166, 5841,  166, 3881, 1831,  166, 5525, 3011,  166, 
-    5535, 5217,  316, 4116,  166,  166, 2204,  166, 3136, 3650,  166, 5813, 1875, 4511, 4475,  166, 
-    1999,  166, 2277,  166, 3024, 5484, 5546,  166, 3988, 5676,  166, 2213, 2264, 5214,  166, 4940, 
-    5974,  166, 4750, 6077,  166, 1652, 3148,  166,  166,  166,  166, 2554,  166, 6167, 5257, 5300, 
-     166,  166,  166,  166, 5408,  166,  166, 3402, 2141,  166, 4663, 5633, 3312,  166, 2814, 4930, 
-    1959,  166,  166,  166, 3861,  166,  166,  302, 2624,  166,  166,  166, 1629, 1724,  166, 3909, 
-    5281,  166, 2001, 4395, 5352, 4428, 2694, 4850,  166,  166, 5242, 5910,  166,  166,  166,  166, 
-     166, 3212,  166, 2045,  166,  166,  166,  166,  166,  166, 3017, 4960, 4456,  166, 5616, 6093, 
-    2151,  166,  166,  166,  315, 3381,  166,  166,  166, 4330,  166, 6158, 4721, 6075,  166,  166, 
-     166, 4543, 2303,  166,  166, 3301,  166, 5000, 3929, 2543, 3437,  166,  166,  166, 3422,  166, 
-    5987, 5729, 2428,  166, 4035, 5588, 3714, 3834, 5264, 5743,  166, 3305, 4886, 6107, 5156,  166, 
-     166,  166,  166,  166, 1672, 5849, 5827, 5049, 6101, 2178, 2420, 3289,  166,  166, 4274, 6017, 
-    2257,  166, 4172, 3451, 2367, 2382,  166, 2964, 4918, 3241, 2347, 6082,   99, 2383,  166, 4454, 
-     163, 2460,  165,  304, 1818, 5580,  166,  312, 5790,  293, 5794, 5519, 5083, 3360, 5748,  166, 
-    3750, 5034,  166,  166,  166, 1863, 3168,  166,  166,  166, 5111,  166,  166,  166,  166, 2183, 
-    4510,  166,  166, 3495, 4382, 4235, 4462,  166, 4056, 5885,   17, 5028, 1614, 6038,  166, 2488, 
-    5632, 3089,  166, 1940,   66, 4039, 3999,  235,  166,  166, 3829, 3954,  166, 2365,  269,  166, 
-     166,  166,  166,  166,  166, 4418, 1796, 4709, 2004,  166, 3596, 5786,  166, 2819, 4624, 3152, 
-    2968, 2838,  166, 5575, 1767, 5603,  166, 4386, 5890,  166, 1768, 4201, 3560,  166,  166,  166, 
-    2184, 2262, 2966, 2716, 1765, 2611, 2983,  166, 4164, 4084,  142, 5314,  166,  166, 4071,  166, 
-    2578, 2849, 3600,  166,  166,  166,  166, 5401, 4814, 3431,  166, 5088, 5084,  198,  166, 3578, 
-    3764,  166, 2097,  166,  166, 5390, 4443,  166, 3166,  166, 4816,  166,  166,  166,  166, 3130, 
-    5963, 1788, 2129, 1837, 4100, 6128,  166, 4586, 5945, 4772,  166, 5741, 3151, 3247, 5645, 4507, 
-    5833, 3904, 6013, 2506, 3050, 4175, 1705, 3019,  166, 5942,  166, 2418, 3430, 2230, 5745,  166, 
-    2093,  166,  166,  166,  166, 4666, 3246,  192, 2010, 4003, 3533, 5851,  166, 3621, 3684, 3066, 
-     166,  166,  166, 5073, 3856,  166,  166, 2224,  166, 2637, 4270,  166,  166, 5679,  166, 5792, 
-    5850,  166, 2589, 3060, 2196, 3476, 3150, 2025,  166,  166,  166, 2657,  166, 3685, 3790, 5587, 
-    2817, 3692,  166,  166,  166, 2359, 2260, 5896, 2158,  119, 2816, 5753,  166, 2739, 5772,  166, 
-    2919, 2147, 1985, 4271, 4838, 4991,  166,  166,  166, 5244,  166,  319,  166,  166, 2779, 4732, 
-    4994, 5424,  166,  166, 3968, 3049, 3393, 4473, 4959, 5967, 5864, 5170, 4209,  166, 4810, 4815, 
-    4205, 2339, 5023, 2279, 5050,  166, 5837,  132,  166,  166,  166, 2247,   21, 4775,  166,  166, 
-    5286,  166, 4170, 4099, 4803, 5767,  166,  166,  166, 5811, 2240, 5699, 2499,  166, 4802,  166, 
-    5785,  166,  166,  166, 3181, 3435,  166, 3339,  166, 5669, 3865, 2249, 5002,  166, 4694, 5461, 
-    4753,  166, 3157,  166, 1960,  166,  166,  166, 2440,  166, 5818, 5534, 2439, 1717,  166, 3789, 
-    2959,  166, 2943,  166, 2576,  166, 2002, 2007, 1819, 3256, 4402, 5311, 3832,  160,  166,  166, 
-    2803,  166, 3264,  166, 5863,  166, 2017,  166, 2798,  166,  166,  166,  166, 5607, 4965,  166, 
-     166,  166, 4537, 4378, 5944, 3494, 5457, 5602, 1942, 5900, 5780, 4411, 5147,  166, 4966, 2115, 
-     155, 2827, 1980, 5063,  166,  285, 5912, 3304, 2963, 5179, 3220,  166,  166,  166, 2190, 3708, 
-    5476, 1944, 2366, 3893,  166,  166,  166, 3759,  166, 5434, 2740, 1707, 4244, 5426,  166,  166, 
-     166, 3155,  166, 4285,  166,  166,  166,  166, 5721,  166, 3833, 6001,  301,  166,  166, 2574, 
-     186, 2724,  166, 1873, 3667,  166, 5216,  166, 2935, 2100, 4987,  166, 2284,  166,  166, 2911, 
-    3828, 4009,  166, 2065,  166, 5496, 6130, 5563, 4387,  166, 3771, 3469, 2989, 2222, 4577, 3965, 
-    4296, 2975, 3813, 3240,  166, 4780, 4481, 3387, 2338,  166, 6183,  166,  166,  166,  166,  166, 
-    2675, 1761, 2600, 5167, 3170, 4773, 2165, 5166,  166, 2223, 4642,  166,  166, 4540,  166,  166, 
-     166, 3897,  166, 2483, 1809, 5477, 3844, 4067, 2508, 2275,  166,  166,  166,  166,  166, 3497, 
-    5458,  166,  249, 2956,  166, 4651,  166,  283,  166,  166, 4955, 4062, 2315, 2304, 3261, 2361, 
-    4791, 4389, 1997,  166, 3455,  166,  166,  166,  166,  166,  166, 4746, 5695, 5296,  105, 1841, 
-    3368,  166,  166,  166, 5228,  166, 3496, 4423, 2024, 3907, 4774,  166,  166,  166,  166,  166, 
-    2294, 2193,  166,  166,  166,  166,  166,  166,  166,  166, 4393,  166,  166, 2127,  166, 4573, 
-     166, 5350,  166, 5016, 3372,  166, 5653,  166, 5972, 4719,  166,  166,  166,  166,  166, 5370, 
-     166, 6142,  166,  166, 3691, 2828,  166, 2601,  166, 2937, 2060, 3654, 3097, 2341, 5325, 4568, 
-    4096, 2776,  166, 2946,  166,  166,  166, 5843, 1777, 5295, 2837, 4261, 4397, 5006, 5808, 4866, 
-     166, 1713, 5732, 2954,  166,  166,   27,  166, 4308, 5629, 2652, 2434, 4474,  166, 4928,  166, 
-    4727, 3811,  166,  166, 5234,  166, 6010,  166, 4911,  166, 4570,  166, 6000, 3450, 5304, 3919, 
-     166,  166, 4008, 3942,  166,  272, 2363, 2064, 3595, 3505,  166,  166, 3957, 1695, 2452, 4659, 
-     166, 1792,  166,  131, 5968,  166, 3731, 3905, 4115,  166,  166, 2468,  166, 2727,  166, 3526, 
-    4724,  166, 4388, 3149, 5539, 5092, 4440, 6162,  166,  166,  193, 4429, 2493,  166,  166, 3683, 
-     166, 6029,  166,  277,  166,  166,  166, 5240, 2408,  166,  309, 2561,  210,  166, 5200,  166, 
-     166,  166, 1930, 5692, 2697,  166,  166,  166, 3330, 5331, 3860,  166,  166, 4335,  166,   50, 
-    3605, 4289, 1763,  166,  166,  166,  166, 3521,  166,  166,  166, 3668,  166,  166,  166,  166, 
-     166, 3271, 1656,  166,  166, 4782,  166, 2962,  166, 5907,  166, 3245, 3375, 2944, 5933,  166, 
-     166, 5406, 5655, 3139, 5423,  166, 4359, 5231, 2548,  166, 3831, 2858, 5488,  166, 5824,  166, 
-     166,  166, 3885, 4372,  166,  166, 4024,  166, 4811, 2970,  166, 4219,  211,  166, 3471,  166, 
-     166,  166,  166, 3854,  166, 3358, 2877,  166,  166, 5205, 2804,  166,  166,  166, 4452,  166, 
-     166,  166,  166, 3776,  166,  166, 3075, 4208,  166, 5623, 1974,  166, 2647,  166, 3235,  166, 
-     166,  166, 5211,  166,  166, 4304, 2206,  166, 4157, 2182,  166, 1816, 2626,  166, 2893, 2248, 
-     166,  166,  166,  166, 1983, 5648,  166,  194,  166, 2106, 4328,  166, 4742,  166,  166, 5572, 
-    2329, 3314,  166, 6181,  166,  166,   26,  166, 6026,  166,  166, 2114, 1669, 4735,  166,  166, 
-    4256,  166, 1861,  166, 5470, 2317,  166, 4404, 2482,  166, 5305, 4415, 5986, 4949, 5412,  166, 
-    1728,  166, 1898,  166,  166, 4909, 1989,  166,  166,  166, 2836, 2051,  274,  166, 2799,  166, 
-    5865, 1663, 4705, 5121, 2555,  166, 4316, 4287, 1880, 1825,  166, 3689,  166, 1733, 5012,  166, 
-     166, 2237, 4471, 1682, 2910,  166, 5366,  166,  166,  166,  166, 4532,  166, 2802,  166,  166, 
-     166, 4057, 2471,  166, 2889,  166,  166, 4026, 5682, 3091,  166, 1977,  166, 2901, 6137, 5658, 
-      88, 2318, 1965,  166, 5914,  166,  166, 4468, 1822,  166, 6050, 5956, 2201,  166, 4644, 2918, 
-     166, 3703,  166,  166, 3524, 4220, 2913, 4210,  166,  166, 2090,  166, 1906, 1911,  166,  166, 
-    3671, 2370,  166, 2552,  166, 3763, 2259, 1924,  166, 5940,  166,  166,  166, 3185, 3821, 4069, 
-     261, 2381, 3244,  166,  166, 5715,  166, 2052, 5905,  166, 2403,  166, 3030, 2199,  166, 3550, 
-     166,  166, 1846,  166,  166,   95,  166,  289, 3208, 2559, 5195, 5091, 1654,  166, 1781, 1892, 
-     166, 4516, 2629,  166, 1700, 3067,  166,  166,  166, 2080, 1680,  166,  166,  166, 5700,  166, 
-    1820, 5491,  166, 4226,  166,  166,  166,  166, 4653,  166, 3508,  227, 5364,  166, 2098,  166, 
-     299,  166, 5795,  166,  166,  166,  166, 3690, 4134, 5517, 4534, 5042, 4874, 5798, 4234,  166, 
-     166,  166,  166, 3702,  166,  166, 3638, 3108, 3850,  166,  166,  166,   16,  166, 1775,  166, 
-    4022,  166,  223, 4095,  166, 5127, 4266,  166,  189,  166,  166, 5203,  166, 1805, 3884, 3778, 
-     166,  166, 2146, 4818,  166, 2848, 3440, 4506, 5886, 3006,  218,  166, 2377,  166, 4091, 5925, 
-     166, 4320,  166, 2701, 3036,  166,  166,  166, 4715,  166, 3801,  166, 3161,  166, 2077,  166, 
-    4254, 3032,  243, 1814,  166,  166,  166,  166,  166,  166,  166,  166, 1835,  166, 4394,  166, 
-    5769, 4923,  166, 2917,  166,  166,  178,  166,  166, 1723,  166, 5887,  166, 4956, 2952,  166, 
-    4665, 3925, 3443, 3123,  166,  166,  166,  166,  166,  166, 5144,  166, 4288, 2074, 2192, 5442, 
-    6043, 1746, 2016, 5995, 2203,  166, 5686, 5659, 3193,  166, 4055,  166,  166, 2233, 3571, 5809, 
-    5984, 2323,  166,  166, 1740,   89, 4356, 6053, 6106, 3282, 4796,  166, 6116, 6056, 2353, 2829, 
-     166, 5807, 2042,  166,  166,  166, 1670, 5937, 4465, 5646,  166, 5562, 3008,  166, 2419, 3736, 
-     166, 4132,  169,  166,  166,  166, 2402,  166,  166, 1968, 2398,  166, 1684, 1827, 4551, 2679, 
-    3875,  166, 5585, 3835, 2295,  166, 1991, 1803, 2992,  166,  166, 5847, 2649,  166,   76, 5415, 
-     166, 2269, 2397, 5387, 5337, 4422,  166, 2672, 4832, 4617,  166,  166,  166,  166, 4552,  166, 
-    4612, 1750,  166, 1931,  166, 1691, 2424, 4194, 6018,  166,  166, 4458, 4856,  166, 2089, 3814, 
-     166, 2844,  166, 3592,  166, 4867, 5128,  166, 2685,  166,  166, 2616, 1972, 2617, 3943, 4664, 
-     166, 4999,  166,  166,  145, 3635,  166,  166, 4851,  166, 3483, 5039,  166, 3649, 3924,  166, 
-     166,  166, 3105, 4260,  166, 6098,  166, 3568,  267, 2456, 3653, 2096,  166,  166,  166, 3512, 
-     166, 3405,  166, 3504,  166,  166,  166, 4005, 2144, 1769,  166, 5474, 1920, 5554,  215, 2443, 
-    3351,  166, 5961,  166,  166,  166,  166,  242, 2331,  166,  166, 5931,  166,  166, 5862,  166, 
-    1710,  166,  166,  166, 3321,  166, 4139,  166,  166, 3515, 2732, 2510, 5544,  166,  166, 2783, 
-     166,  166,  166, 4018, 4649, 5789,  166,  166,  166,  166,  166, 2726, 6074,  166,  166,  166, 
-    5684,  166,  166, 3395,  166, 3100,  166, 5763, 3757, 1992,  166, 3198, 2003,  166,  166, 4675, 
-     166, 1893, 5621,  166, 2270,  166,  166,  166, 5421, 5590, 5664, 4045,  166, 3687, 4406, 2699, 
-    1811,  167, 4036, 5384,  166,  166, 4601, 1823, 4041,  239, 1954,  166,  146,  166,  166, 3077, 
-    5152, 5814, 1649, 5681,  166, 5868,  166,  166, 3792, 4860,  166, 5335, 5110, 1718,  166,  166, 
-     166,  166, 3718, 3365, 2826,  166,  166, 5021, 4783,  166, 5569, 5812,  166,  166, 1876,  166, 
-    3260,  166, 1789, 5667, 4224,  166,  166, 4385,  166,  166, 2620,  166, 4162, 2883, 2143, 5497, 
-     166,  166, 5316, 5680,  166,  166,  248, 4050,  166, 6021,  166, 2898, 4618,  166,  166,  166, 
-     166,  166, 5368,  166, 5378, 1842, 1914, 3696, 3962,  166, 4345, 2581, 1773, 2109,  166, 4371, 
-     166,  166, 3761, 5277, 5870, 3146,  166,  166,  166, 5764,  127, 3058, 4059, 4718,  166, 5097, 
-    5040, 5351, 3205,  166,  166, 4996, 2991, 2014,  166, 5846, 2558, 2688, 5595, 4027, 3347, 2125, 
-    5696, 5608,  166,  166, 3228, 3745, 5775,  166, 1757, 4647,  166, 5977, 3020,  166,  240, 2565, 
-     166, 4459,  166, 3367,  166,  166,  166, 3104,  166,  166,  166,  166,  166,  166,  259, 5486, 
-    2846,  166,  166,  166, 4778, 2713,  166, 3955, 5683, 2682, 2914, 5898,  166,  166,  166, 4400, 
-     317,  166, 5185, 3021, 5983, 4332, 3891,  166, 3095, 5003,  166,  166,  166, 5367,  166,  279, 
-    1784, 4019, 2736, 4905, 2651, 5346,  166, 4841,  166, 5606,  166,  166, 2806,  166, 5239,  166, 
-     166, 3237, 5490,  166,  225,  166,  166, 2254,  166, 2742, 4587,   22,  166,  166,  166, 5555, 
-     166,  108, 2927, 2218,  166, 2120,  166, 5452, 4087, 4369,  166,  166,  166,  166,  166, 4583, 
-    4338, 6035, 2840, 4365, 3624,   11, 1770,  166, 4630,  166, 3216,  166,  166,  166, 4638, 4699, 
-    3535, 2536, 4627,  166,  166, 5760, 1935,  166,  166, 5210,  166, 2219, 2484, 4597, 5193, 4799, 
-    3706,  166,  166,  166,  166, 3337, 3113, 5951, 4294,  166, 4040, 3200, 4217, 5861, 2767, 3530, 
-    4499, 2775, 4121,  134, 5939, 5880, 5908, 3869,  166,  166, 3316, 6095, 2441, 3288,  166, 3751, 
-    4794,  166,  166, 5803, 6169, 2356, 6182, 6135, 6127,  166, 3018,  166, 1674,  166,  166, 4097, 
-     166, 5923,  287, 5965, 5129,  166, 4078,  166,  166, 6114, 6015, 5990, 3573,  166, 4146, 2681, 
-      90, 6055, 4864,  166,  166, 6119, 3284, 6054, 5456, 5113, 6125,  166, 6057,  166, 3292,  166, 
-     166,  166,  166,  166, 6185, 5105, 1760,  166,  166,  166, 2720,  166, 2695, 5448,  166, 1936, 
-     166, 1807, 3406,  166,  166, 2161, 1642,  166, 5030,  166, 2036, 5451, 3427,  166,  166,  166, 
-     166, 3797,  166, 1627,  166, 4515,  166,  166,  166, 4241,  166,  166,  166, 2771,  166,   31, 
-    5197, 2638, 3035,  166,  166, 3914,  166,  166, 4546,  166,  166,  166, 4253, 3500,  166,  166, 
-    2526,  166, 2698,  166, 3726, 2744,  137,  166,  166, 2676,  166, 5594,  166,  166,  166, 4842, 
-     166,   63, 2888, 3585, 4798,  166, 5011,  166, 5634, 5464,  166,  166, 5620, 3894, 4070,  166, 
-    2730,  166,  166, 1810, 2503, 5957, 1721, 6066, 5188,  166,  166, 1890, 4505, 1771, 5455,  166, 
-    3132, 3984,  166,  166, 2811, 1962,  166,  166, 4872,  106, 3898, 3267,  166, 2085,  166, 4950, 
-    6040, 4525, 6044, 5866, 3613, 2907, 4615, 2135,  258,  166, 1681, 1941, 4888,  166, 4859, 6178, 
-    6174, 4858, 5209, 1912, 3340,  166, 4640, 5706,  166, 2763, 3153, 3951,  166, 5542, 5596, 5819, 
-    5330, 5048, 4037,  166, 6033, 4625, 3326, 2013, 5283,  136, 3373, 2154,  166,  166,  166, 4421, 
-     166, 5438, 2627, 2266, 2320,  166, 2588, 4790, 4290,  166, 4767, 5829, 2925, 5916, 2133,  166
-};
+unsigned short hash_values[] = {
+    148,  2934, 166,  5107, 4628, 166,  166,  166,  166,  3033, 166,  4692,
+    166,  5571, 2225, 166,  5340, 3423, 166,  3191, 1752, 166,  5212, 166,
+    166,  3520, 166,  166,  166,  1867, 166,  3313, 166,  3461, 166,  166,
+    3174, 1737, 5010, 5008, 166,  4344, 2868, 3877, 166,  4089, 166,  5041,
+    4748, 4073, 4066, 5298, 3502, 1812, 166,  5309, 166,  233,  3493, 166,
+    166,  3728, 5236, 4252, 4010, 2149, 166,  164,  4580, 3039, 4804, 3874,
+    166,  6170, 2812, 166,  4334, 166,  166,  166,  166,  166,  166,  1862,
+    224,  2131, 6081, 166,  2710, 166,  166,  166,  4765, 166,  1964, 5060,
+    166,  1897, 166,  3987, 166,  166,  5566, 2021, 166,  45,   166,  166,
+    3283, 3932, 166,  166,  3519, 166,  166,  291,  166,  166,  5132, 2800,
+    166,  166,  166,  5531, 4054, 166,  3509, 166,  166,  4908, 3028, 1756,
+    1910, 4671, 2729, 5224, 166,  121,  3327, 3317, 166,  181,  2371, 5541,
+    166,  1787, 2666, 5134, 5698, 166,  5480, 3870, 166,  3823, 166,  3165,
+    5343, 5123, 5089, 166,  2422, 3724, 166,  2735, 1953, 5724, 4444, 4871,
+    166,  166,  5001, 5512, 3133, 5171, 166,  2216, 166,  4877, 4542, 166,
+    166,  166,  5270, 166,  166,  166,  1922, 69,   3547, 166,  166,  166,
+    166,  166,  231,  4547, 5155, 3357, 3464, 166,  72,   3332, 166,  4392,
+    5971, 3896, 4451, 3173, 2569, 166,  4466, 2518, 1698, 2850, 5349, 166,
+    166,  4457, 5062, 166,  2202, 1650, 2191, 166,  1950, 2583, 166,  5293,
+    2032, 5893, 166,  3994, 5392, 3878, 96,   166,  166,  3195, 166,  4001,
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+    4041, 239,  1954, 166,  146,  166,  166,  3077, 5152, 5814, 1649, 5681,
+    166,  5868, 166,  166,  3792, 4860, 166,  5335, 5110, 1718, 166,  166,
+    166,  166,  3718, 3365, 2826, 166,  166,  5021, 4783, 166,  5569, 5812,
+    166,  166,  1876, 166,  3260, 166,  1789, 5667, 4224, 166,  166,  4385,
+    166,  166,  2620, 166,  4162, 2883, 2143, 5497, 166,  166,  5316, 5680,
+    166,  166,  248,  4050, 166,  6021, 166,  2898, 4618, 166,  166,  166,
+    166,  166,  5368, 166,  5378, 1842, 1914, 3696, 3962, 166,  4345, 2581,
+    1773, 2109, 166,  4371, 166,  166,  3761, 5277, 5870, 3146, 166,  166,
+    166,  5764, 127,  3058, 4059, 4718, 166,  5097, 5040, 5351, 3205, 166,
+    166,  4996, 2991, 2014, 166,  5846, 2558, 2688, 5595, 4027, 3347, 2125,
+    5696, 5608, 166,  166,  3228, 3745, 5775, 166,  1757, 4647, 166,  5977,
+    3020, 166,  240,  2565, 166,  4459, 166,  3367, 166,  166,  166,  3104,
+    166,  166,  166,  166,  166,  166,  259,  5486, 2846, 166,  166,  166,
+    4778, 2713, 166,  3955, 5683, 2682, 2914, 5898, 166,  166,  166,  4400,
+    317,  166,  5185, 3021, 5983, 4332, 3891, 166,  3095, 5003, 166,  166,
+    166,  5367, 166,  279,  1784, 4019, 2736, 4905, 2651, 5346, 166,  4841,
+    166,  5606, 166,  166,  2806, 166,  5239, 166,  166,  3237, 5490, 166,
+    225,  166,  166,  2254, 166,  2742, 4587, 22,   166,  166,  166,  5555,
+    166,  108,  2927, 2218, 166,  2120, 166,  5452, 4087, 4369, 166,  166,
+    166,  166,  166,  4583, 4338, 6035, 2840, 4365, 3624, 11,   1770, 166,
+    4630, 166,  3216, 166,  166,  166,  4638, 4699, 3535, 2536, 4627, 166,
+    166,  5760, 1935, 166,  166,  5210, 166,  2219, 2484, 4597, 5193, 4799,
+    3706, 166,  166,  166,  166,  3337, 3113, 5951, 4294, 166,  4040, 3200,
+    4217, 5861, 2767, 3530, 4499, 2775, 4121, 134,  5939, 5880, 5908, 3869,
+    166,  166,  3316, 6095, 2441, 3288, 166,  3751, 4794, 166,  166,  5803,
+    6169, 2356, 6182, 6135, 6127, 166,  3018, 166,  1674, 166,  166,  4097,
+    166,  5923, 287,  5965, 5129, 166,  4078, 166,  166,  6114, 6015, 5990,
+    3573, 166,  4146, 2681, 90,   6055, 4864, 166,  166,  6119, 3284, 6054,
+    5456, 5113, 6125, 166,  6057, 166,  3292, 166,  166,  166,  166,  166,
+    6185, 5105, 1760, 166,  166,  166,  2720, 166,  2695, 5448, 166,  1936,
+    166,  1807, 3406, 166,  166,  2161, 1642, 166,  5030, 166,  2036, 5451,
+    3427, 166,  166,  166,  166,  3797, 166,  1627, 166,  4515, 166,  166,
+    166,  4241, 166,  166,  166,  2771, 166,  31,   5197, 2638, 3035, 166,
+    166,  3914, 166,  166,  4546, 166,  166,  166,  4253, 3500, 166,  166,
+    2526, 166,  2698, 166,  3726, 2744, 137,  166,  166,  2676, 166,  5594,
+    166,  166,  166,  4842, 166,  63,   2888, 3585, 4798, 166,  5011, 166,
+    5634, 5464, 166,  166,  5620, 3894, 4070, 166,  2730, 166,  166,  1810,
+    2503, 5957, 1721, 6066, 5188, 166,  166,  1890, 4505, 1771, 5455, 166,
+    3132, 3984, 166,  166,  2811, 1962, 166,  166,  4872, 106,  3898, 3267,
+    166,  2085, 166,  4950, 6040, 4525, 6044, 5866, 3613, 2907, 4615, 2135,
+    258,  166,  1681, 1941, 4888, 166,  4859, 6178, 6174, 4858, 5209, 1912,
+    3340, 166,  4640, 5706, 166,  2763, 3153, 3951, 166,  5542, 5596, 5819,
+    5330, 5048, 4037, 166,  6033, 4625, 3326, 2013, 5283, 136,  3373, 2154,
+    166,  166,  166,  4421, 166,  5438, 2627, 2266, 2320, 166,  2588, 4790,
+    4290, 166,  4767, 5829, 2925, 5916, 2133, 166};
diff --git a/cpp/test/kev/index52c7.h b/cpp/test/kev/index52c7.h
index f6a8383..de20c83 100644
--- a/cpp/test/kev/index52c7.h
+++ b/cpp/test/kev/index52c7.h
@@ -1,4159 +1,9484 @@
-// Fast mapping of all 52 bit numbers with 7 bits set to an index 0 - 133M (52 choose 7)
-//
-// (c) 2007
-// Paul D. Senzee
-// Senzee 5
-// http://senzee.blogspot.com 
-
-namespace
-{
-
-const unsigned _choose16x[] = { 1, 16, 120, 560, 1820, 4368, 8008, 11440 };
-const unsigned _choose32x[] = { 1, 32, 496, 4960, 35960, 201376, 906192, 3365856 };
-const unsigned _choose48x[] = { 1, 48, 1128, 17296, 194580, 1712304, 12271512, 73629072 };
-
-const unsigned _table4[]    = { 0, 0, 1, 5, 2, 3, 4, 3, 3, 0, 1, 2, 2, 0, 1, 0, 0 };
-
-const unsigned _table[] =
-{
-    0, 0, 1, 119, 2, 117, 118, 559, 3, 114, 115, 558, 116, 556, 557, 1819, 4, 110, 111, 555, 112, 553, 554, 1818, 113, 550, 551, 1817, 552, 1815, 1816, 4367, 5, 
-    105, 106, 549, 107, 547, 548, 1814, 108, 544, 545, 1813, 546, 1811, 1812, 4366, 109, 540, 541, 1810, 542, 1808, 1809, 4365, 543, 1805, 1806, 4364, 1807, 4362, 4363, 8007, 6, 
-    99, 100, 539, 101, 537, 538, 1804, 102, 534, 535, 1803, 536, 1801, 1802, 4361, 103, 530, 531, 1800, 532, 1798, 1799, 4360, 533, 1795, 1796, 4359, 1797, 4357, 4358, 8006, 104, 
-    525, 526, 1794, 527, 1792, 1793, 4356, 528, 1789, 1790, 4355, 1791, 4353, 4354, 8005, 529, 1785, 1786, 4352, 1787, 4350, 4351, 8004, 1788, 4347, 4348, 8003, 4349, 8001, 8002, 11439, 7, 
-    92, 93, 524, 94, 522, 523, 1784, 95, 519, 520, 1783, 521, 1781, 1782, 4346, 96, 515, 516, 1780, 517, 1778, 1779, 4345, 518, 1775, 1776, 4344, 1777, 4342, 4343, 8000, 97, 
-    510, 511, 1774, 512, 1772, 1773, 4341, 513, 1769, 1770, 4340, 1771, 4338, 4339, 7999, 514, 1765, 1766, 4337, 1767, 4335, 4336, 7998, 1768, 4332, 4333, 7997, 4334, 7995, 7996, 11438, 98, 
-    504, 505, 1764, 506, 1762, 1763, 4331, 507, 1759, 1760, 4330, 1761, 4328, 4329, 7994, 508, 1755, 1756, 4327, 1757, 4325, 4326, 7993, 1758, 4322, 4323, 7992, 4324, 7990, 7991, 11437, 509, 
-    1750, 1751, 4321, 1752, 4319, 4320, 7989, 1753, 4316, 4317, 7988, 4318, 7986, 7987, 11436, 1754, 4312, 4313, 7985, 4314, 7983, 7984, 11435, 4315, 7980, 7981, 11434, 7982, 11432, 11433, 0, 8, 
-    84, 85, 503, 86, 501, 502, 1749, 87, 498, 499, 1748, 500, 1746, 1747, 4311, 88, 494, 495, 1745, 496, 1743, 1744, 4310, 497, 1740, 1741, 4309, 1742, 4307, 4308, 7979, 89, 
-    489, 490, 1739, 491, 1737, 1738, 4306, 492, 1734, 1735, 4305, 1736, 4303, 4304, 7978, 493, 1730, 1731, 4302, 1732, 4300, 4301, 7977, 1733, 4297, 4298, 7976, 4299, 7974, 7975, 11431, 90, 
-    483, 484, 1729, 485, 1727, 1728, 4296, 486, 1724, 1725, 4295, 1726, 4293, 4294, 7973, 487, 1720, 1721, 4292, 1722, 4290, 4291, 7972, 1723, 4287, 4288, 7971, 4289, 7969, 7970, 11430, 488, 
-    1715, 1716, 4286, 1717, 4284, 4285, 7968, 1718, 4281, 4282, 7967, 4283, 7965, 7966, 11429, 1719, 4277, 4278, 7964, 4279, 7962, 7963, 11428, 4280, 7959, 7960, 11427, 7961, 11425, 11426, 0, 91, 
-    476, 477, 1714, 478, 1712, 1713, 4276, 479, 1709, 1710, 4275, 1711, 4273, 4274, 7958, 480, 1705, 1706, 4272, 1707, 4270, 4271, 7957, 1708, 4267, 4268, 7956, 4269, 7954, 7955, 11424, 481, 
-    1700, 1701, 4266, 1702, 4264, 4265, 7953, 1703, 4261, 4262, 7952, 4263, 7950, 7951, 11423, 1704, 4257, 4258, 7949, 4259, 7947, 7948, 11422, 4260, 7944, 7945, 11421, 7946, 11419, 11420, 0, 482, 
-    1694, 1695, 4256, 1696, 4254, 4255, 7943, 1697, 4251, 4252, 7942, 4253, 7940, 7941, 11418, 1698, 4247, 4248, 7939, 4249, 7937, 7938, 11417, 4250, 7934, 7935, 11416, 7936, 11414, 11415, 0, 1699, 
-    4242, 4243, 7933, 4244, 7931, 7932, 11413, 4245, 7928, 7929, 11412, 7930, 11410, 11411, 0, 4246, 7924, 7925, 11409, 7926, 11407, 11408, 0, 7927, 11404, 11405, 0, 11406, 0, 0, 0, 9, 
-    75, 76, 475, 77, 473, 474, 1693, 78, 470, 471, 1692, 472, 1690, 1691, 4241, 79, 466, 467, 1689, 468, 1687, 1688, 4240, 469, 1684, 1685, 4239, 1686, 4237, 4238, 7923, 80, 
-    461, 462, 1683, 463, 1681, 1682, 4236, 464, 1678, 1679, 4235, 1680, 4233, 4234, 7922, 465, 1674, 1675, 4232, 1676, 4230, 4231, 7921, 1677, 4227, 4228, 7920, 4229, 7918, 7919, 11403, 81, 
-    455, 456, 1673, 457, 1671, 1672, 4226, 458, 1668, 1669, 4225, 1670, 4223, 4224, 7917, 459, 1664, 1665, 4222, 1666, 4220, 4221, 7916, 1667, 4217, 4218, 7915, 4219, 7913, 7914, 11402, 460, 
-    1659, 1660, 4216, 1661, 4214, 4215, 7912, 1662, 4211, 4212, 7911, 4213, 7909, 7910, 11401, 1663, 4207, 4208, 7908, 4209, 7906, 7907, 11400, 4210, 7903, 7904, 11399, 7905, 11397, 11398, 0, 82, 
-    448, 449, 1658, 450, 1656, 1657, 4206, 451, 1653, 1654, 4205, 1655, 4203, 4204, 7902, 452, 1649, 1650, 4202, 1651, 4200, 4201, 7901, 1652, 4197, 4198, 7900, 4199, 7898, 7899, 11396, 453, 
-    1644, 1645, 4196, 1646, 4194, 4195, 7897, 1647, 4191, 4192, 7896, 4193, 7894, 7895, 11395, 1648, 4187, 4188, 7893, 4189, 7891, 7892, 11394, 4190, 7888, 7889, 11393, 7890, 11391, 11392, 0, 454, 
-    1638, 1639, 4186, 1640, 4184, 4185, 7887, 1641, 4181, 4182, 7886, 4183, 7884, 7885, 11390, 1642, 4177, 4178, 7883, 4179, 7881, 7882, 11389, 4180, 7878, 7879, 11388, 7880, 11386, 11387, 0, 1643, 
-    4172, 4173, 7877, 4174, 7875, 7876, 11385, 4175, 7872, 7873, 11384, 7874, 11382, 11383, 0, 4176, 7868, 7869, 11381, 7870, 11379, 11380, 0, 7871, 11376, 11377, 0, 11378, 0, 0, 0, 83, 
-    440, 441, 1637, 442, 1635, 1636, 4171, 443, 1632, 1633, 4170, 1634, 4168, 4169, 7867, 444, 1628, 1629, 4167, 1630, 4165, 4166, 7866, 1631, 4162, 4163, 7865, 4164, 7863, 7864, 11375, 445, 
-    1623, 1624, 4161, 1625, 4159, 4160, 7862, 1626, 4156, 4157, 7861, 4158, 7859, 7860, 11374, 1627, 4152, 4153, 7858, 4154, 7856, 7857, 11373, 4155, 7853, 7854, 11372, 7855, 11370, 11371, 0, 446, 
-    1617, 1618, 4151, 1619, 4149, 4150, 7852, 1620, 4146, 4147, 7851, 4148, 7849, 7850, 11369, 1621, 4142, 4143, 7848, 4144, 7846, 7847, 11368, 4145, 7843, 7844, 11367, 7845, 11365, 11366, 0, 1622, 
-    4137, 4138, 7842, 4139, 7840, 7841, 11364, 4140, 7837, 7838, 11363, 7839, 11361, 11362, 0, 4141, 7833, 7834, 11360, 7835, 11358, 11359, 0, 7836, 11355, 11356, 0, 11357, 0, 0, 0, 447, 
-    1610, 1611, 4136, 1612, 4134, 4135, 7832, 1613, 4131, 4132, 7831, 4133, 7829, 7830, 11354, 1614, 4127, 4128, 7828, 4129, 7826, 7827, 11353, 4130, 7823, 7824, 11352, 7825, 11350, 11351, 0, 1615, 
-    4122, 4123, 7822, 4124, 7820, 7821, 11349, 4125, 7817, 7818, 11348, 7819, 11346, 11347, 0, 4126, 7813, 7814, 11345, 7815, 11343, 11344, 0, 7816, 11340, 11341, 0, 11342, 0, 0, 0, 1616, 
-    4116, 4117, 7812, 4118, 7810, 7811, 11339, 4119, 7807, 7808, 11338, 7809, 11336, 11337, 0, 4120, 7803, 7804, 11335, 7805, 11333, 11334, 0, 7806, 11330, 11331, 0, 11332, 0, 0, 0, 4121, 
-    7798, 7799, 11329, 7800, 11327, 11328, 0, 7801, 11324, 11325, 0, 11326, 0, 0, 0, 7802, 11320, 11321, 0, 11322, 0, 0, 0, 11323, 0, 0, 0, 0, 0, 0, 0, 10, 
-    65, 66, 439, 67, 437, 438, 1609, 68, 434, 435, 1608, 436, 1606, 1607, 4115, 69, 430, 431, 1605, 432, 1603, 1604, 4114, 433, 1600, 1601, 4113, 1602, 4111, 4112, 7797, 70, 
-    425, 426, 1599, 427, 1597, 1598, 4110, 428, 1594, 1595, 4109, 1596, 4107, 4108, 7796, 429, 1590, 1591, 4106, 1592, 4104, 4105, 7795, 1593, 4101, 4102, 7794, 4103, 7792, 7793, 11319, 71, 
-    419, 420, 1589, 421, 1587, 1588, 4100, 422, 1584, 1585, 4099, 1586, 4097, 4098, 7791, 423, 1580, 1581, 4096, 1582, 4094, 4095, 7790, 1583, 4091, 4092, 7789, 4093, 7787, 7788, 11318, 424, 
-    1575, 1576, 4090, 1577, 4088, 4089, 7786, 1578, 4085, 4086, 7785, 4087, 7783, 7784, 11317, 1579, 4081, 4082, 7782, 4083, 7780, 7781, 11316, 4084, 7777, 7778, 11315, 7779, 11313, 11314, 0, 72, 
-    412, 413, 1574, 414, 1572, 1573, 4080, 415, 1569, 1570, 4079, 1571, 4077, 4078, 7776, 416, 1565, 1566, 4076, 1567, 4074, 4075, 7775, 1568, 4071, 4072, 7774, 4073, 7772, 7773, 11312, 417, 
-    1560, 1561, 4070, 1562, 4068, 4069, 7771, 1563, 4065, 4066, 7770, 4067, 7768, 7769, 11311, 1564, 4061, 4062, 7767, 4063, 7765, 7766, 11310, 4064, 7762, 7763, 11309, 7764, 11307, 11308, 0, 418, 
-    1554, 1555, 4060, 1556, 4058, 4059, 7761, 1557, 4055, 4056, 7760, 4057, 7758, 7759, 11306, 1558, 4051, 4052, 7757, 4053, 7755, 7756, 11305, 4054, 7752, 7753, 11304, 7754, 11302, 11303, 0, 1559, 
-    4046, 4047, 7751, 4048, 7749, 7750, 11301, 4049, 7746, 7747, 11300, 7748, 11298, 11299, 0, 4050, 7742, 7743, 11297, 7744, 11295, 11296, 0, 7745, 11292, 11293, 0, 11294, 0, 0, 0, 73, 
-    404, 405, 1553, 406, 1551, 1552, 4045, 407, 1548, 1549, 4044, 1550, 4042, 4043, 7741, 408, 1544, 1545, 4041, 1546, 4039, 4040, 7740, 1547, 4036, 4037, 7739, 4038, 7737, 7738, 11291, 409, 
-    1539, 1540, 4035, 1541, 4033, 4034, 7736, 1542, 4030, 4031, 7735, 4032, 7733, 7734, 11290, 1543, 4026, 4027, 7732, 4028, 7730, 7731, 11289, 4029, 7727, 7728, 11288, 7729, 11286, 11287, 0, 410, 
-    1533, 1534, 4025, 1535, 4023, 4024, 7726, 1536, 4020, 4021, 7725, 4022, 7723, 7724, 11285, 1537, 4016, 4017, 7722, 4018, 7720, 7721, 11284, 4019, 7717, 7718, 11283, 7719, 11281, 11282, 0, 1538, 
-    4011, 4012, 7716, 4013, 7714, 7715, 11280, 4014, 7711, 7712, 11279, 7713, 11277, 11278, 0, 4015, 7707, 7708, 11276, 7709, 11274, 11275, 0, 7710, 11271, 11272, 0, 11273, 0, 0, 0, 411, 
-    1526, 1527, 4010, 1528, 4008, 4009, 7706, 1529, 4005, 4006, 7705, 4007, 7703, 7704, 11270, 1530, 4001, 4002, 7702, 4003, 7700, 7701, 11269, 4004, 7697, 7698, 11268, 7699, 11266, 11267, 0, 1531, 
-    3996, 3997, 7696, 3998, 7694, 7695, 11265, 3999, 7691, 7692, 11264, 7693, 11262, 11263, 0, 4000, 7687, 7688, 11261, 7689, 11259, 11260, 0, 7690, 11256, 11257, 0, 11258, 0, 0, 0, 1532, 
-    3990, 3991, 7686, 3992, 7684, 7685, 11255, 3993, 7681, 7682, 11254, 7683, 11252, 11253, 0, 3994, 7677, 7678, 11251, 7679, 11249, 11250, 0, 7680, 11246, 11247, 0, 11248, 0, 0, 0, 3995, 
-    7672, 7673, 11245, 7674, 11243, 11244, 0, 7675, 11240, 11241, 0, 11242, 0, 0, 0, 7676, 11236, 11237, 0, 11238, 0, 0, 0, 11239, 0, 0, 0, 0, 0, 0, 0, 74, 
-    395, 396, 1525, 397, 1523, 1524, 3989, 398, 1520, 1521, 3988, 1522, 3986, 3987, 7671, 399, 1516, 1517, 3985, 1518, 3983, 3984, 7670, 1519, 3980, 3981, 7669, 3982, 7667, 7668, 11235, 400, 
-    1511, 1512, 3979, 1513, 3977, 3978, 7666, 1514, 3974, 3975, 7665, 3976, 7663, 7664, 11234, 1515, 3970, 3971, 7662, 3972, 7660, 7661, 11233, 3973, 7657, 7658, 11232, 7659, 11230, 11231, 0, 401, 
-    1505, 1506, 3969, 1507, 3967, 3968, 7656, 1508, 3964, 3965, 7655, 3966, 7653, 7654, 11229, 1509, 3960, 3961, 7652, 3962, 7650, 7651, 11228, 3963, 7647, 7648, 11227, 7649, 11225, 11226, 0, 1510, 
-    3955, 3956, 7646, 3957, 7644, 7645, 11224, 3958, 7641, 7642, 11223, 7643, 11221, 11222, 0, 3959, 7637, 7638, 11220, 7639, 11218, 11219, 0, 7640, 11215, 11216, 0, 11217, 0, 0, 0, 402, 
-    1498, 1499, 3954, 1500, 3952, 3953, 7636, 1501, 3949, 3950, 7635, 3951, 7633, 7634, 11214, 1502, 3945, 3946, 7632, 3947, 7630, 7631, 11213, 3948, 7627, 7628, 11212, 7629, 11210, 11211, 0, 1503, 
-    3940, 3941, 7626, 3942, 7624, 7625, 11209, 3943, 7621, 7622, 11208, 7623, 11206, 11207, 0, 3944, 7617, 7618, 11205, 7619, 11203, 11204, 0, 7620, 11200, 11201, 0, 11202, 0, 0, 0, 1504, 
-    3934, 3935, 7616, 3936, 7614, 7615, 11199, 3937, 7611, 7612, 11198, 7613, 11196, 11197, 0, 3938, 7607, 7608, 11195, 7609, 11193, 11194, 0, 7610, 11190, 11191, 0, 11192, 0, 0, 0, 3939, 
-    7602, 7603, 11189, 7604, 11187, 11188, 0, 7605, 11184, 11185, 0, 11186, 0, 0, 0, 7606, 11180, 11181, 0, 11182, 0, 0, 0, 11183, 0, 0, 0, 0, 0, 0, 0, 403, 
-    1490, 1491, 3933, 1492, 3931, 3932, 7601, 1493, 3928, 3929, 7600, 3930, 7598, 7599, 11179, 1494, 3924, 3925, 7597, 3926, 7595, 7596, 11178, 3927, 7592, 7593, 11177, 7594, 11175, 11176, 0, 1495, 
-    3919, 3920, 7591, 3921, 7589, 7590, 11174, 3922, 7586, 7587, 11173, 7588, 11171, 11172, 0, 3923, 7582, 7583, 11170, 7584, 11168, 11169, 0, 7585, 11165, 11166, 0, 11167, 0, 0, 0, 1496, 
-    3913, 3914, 7581, 3915, 7579, 7580, 11164, 3916, 7576, 7577, 11163, 7578, 11161, 11162, 0, 3917, 7572, 7573, 11160, 7574, 11158, 11159, 0, 7575, 11155, 11156, 0, 11157, 0, 0, 0, 3918, 
-    7567, 7568, 11154, 7569, 11152, 11153, 0, 7570, 11149, 11150, 0, 11151, 0, 0, 0, 7571, 11145, 11146, 0, 11147, 0, 0, 0, 11148, 0, 0, 0, 0, 0, 0, 0, 1497, 
-    3906, 3907, 7566, 3908, 7564, 7565, 11144, 3909, 7561, 7562, 11143, 7563, 11141, 11142, 0, 3910, 7557, 7558, 11140, 7559, 11138, 11139, 0, 7560, 11135, 11136, 0, 11137, 0, 0, 0, 3911, 
-    7552, 7553, 11134, 7554, 11132, 11133, 0, 7555, 11129, 11130, 0, 11131, 0, 0, 0, 7556, 11125, 11126, 0, 11127, 0, 0, 0, 11128, 0, 0, 0, 0, 0, 0, 0, 3912, 
-    7546, 7547, 11124, 7548, 11122, 11123, 0, 7549, 11119, 11120, 0, 11121, 0, 0, 0, 7550, 11115, 11116, 0, 11117, 0, 0, 0, 11118, 0, 0, 0, 0, 0, 0, 0, 7551, 
-    11110, 11111, 0, 11112, 0, 0, 0, 11113, 0, 0, 0, 0, 0, 0, 0, 11114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 
-    54, 55, 394, 56, 392, 393, 1489, 57, 389, 390, 1488, 391, 1486, 1487, 3905, 58, 385, 386, 1485, 387, 1483, 1484, 3904, 388, 1480, 1481, 3903, 1482, 3901, 3902, 7545, 59, 
-    380, 381, 1479, 382, 1477, 1478, 3900, 383, 1474, 1475, 3899, 1476, 3897, 3898, 7544, 384, 1470, 1471, 3896, 1472, 3894, 3895, 7543, 1473, 3891, 3892, 7542, 3893, 7540, 7541, 11109, 60, 
-    374, 375, 1469, 376, 1467, 1468, 3890, 377, 1464, 1465, 3889, 1466, 3887, 3888, 7539, 378, 1460, 1461, 3886, 1462, 3884, 3885, 7538, 1463, 3881, 3882, 7537, 3883, 7535, 7536, 11108, 379, 
-    1455, 1456, 3880, 1457, 3878, 3879, 7534, 1458, 3875, 3876, 7533, 3877, 7531, 7532, 11107, 1459, 3871, 3872, 7530, 3873, 7528, 7529, 11106, 3874, 7525, 7526, 11105, 7527, 11103, 11104, 0, 61, 
-    367, 368, 1454, 369, 1452, 1453, 3870, 370, 1449, 1450, 3869, 1451, 3867, 3868, 7524, 371, 1445, 1446, 3866, 1447, 3864, 3865, 7523, 1448, 3861, 3862, 7522, 3863, 7520, 7521, 11102, 372, 
-    1440, 1441, 3860, 1442, 3858, 3859, 7519, 1443, 3855, 3856, 7518, 3857, 7516, 7517, 11101, 1444, 3851, 3852, 7515, 3853, 7513, 7514, 11100, 3854, 7510, 7511, 11099, 7512, 11097, 11098, 0, 373, 
-    1434, 1435, 3850, 1436, 3848, 3849, 7509, 1437, 3845, 3846, 7508, 3847, 7506, 7507, 11096, 1438, 3841, 3842, 7505, 3843, 7503, 7504, 11095, 3844, 7500, 7501, 11094, 7502, 11092, 11093, 0, 1439, 
-    3836, 3837, 7499, 3838, 7497, 7498, 11091, 3839, 7494, 7495, 11090, 7496, 11088, 11089, 0, 3840, 7490, 7491, 11087, 7492, 11085, 11086, 0, 7493, 11082, 11083, 0, 11084, 0, 0, 0, 62, 
-    359, 360, 1433, 361, 1431, 1432, 3835, 362, 1428, 1429, 3834, 1430, 3832, 3833, 7489, 363, 1424, 1425, 3831, 1426, 3829, 3830, 7488, 1427, 3826, 3827, 7487, 3828, 7485, 7486, 11081, 364, 
-    1419, 1420, 3825, 1421, 3823, 3824, 7484, 1422, 3820, 3821, 7483, 3822, 7481, 7482, 11080, 1423, 3816, 3817, 7480, 3818, 7478, 7479, 11079, 3819, 7475, 7476, 11078, 7477, 11076, 11077, 0, 365, 
-    1413, 1414, 3815, 1415, 3813, 3814, 7474, 1416, 3810, 3811, 7473, 3812, 7471, 7472, 11075, 1417, 3806, 3807, 7470, 3808, 7468, 7469, 11074, 3809, 7465, 7466, 11073, 7467, 11071, 11072, 0, 1418, 
-    3801, 3802, 7464, 3803, 7462, 7463, 11070, 3804, 7459, 7460, 11069, 7461, 11067, 11068, 0, 3805, 7455, 7456, 11066, 7457, 11064, 11065, 0, 7458, 11061, 11062, 0, 11063, 0, 0, 0, 366, 
-    1406, 1407, 3800, 1408, 3798, 3799, 7454, 1409, 3795, 3796, 7453, 3797, 7451, 7452, 11060, 1410, 3791, 3792, 7450, 3793, 7448, 7449, 11059, 3794, 7445, 7446, 11058, 7447, 11056, 11057, 0, 1411, 
-    3786, 3787, 7444, 3788, 7442, 7443, 11055, 3789, 7439, 7440, 11054, 7441, 11052, 11053, 0, 3790, 7435, 7436, 11051, 7437, 11049, 11050, 0, 7438, 11046, 11047, 0, 11048, 0, 0, 0, 1412, 
-    3780, 3781, 7434, 3782, 7432, 7433, 11045, 3783, 7429, 7430, 11044, 7431, 11042, 11043, 0, 3784, 7425, 7426, 11041, 7427, 11039, 11040, 0, 7428, 11036, 11037, 0, 11038, 0, 0, 0, 3785, 
-    7420, 7421, 11035, 7422, 11033, 11034, 0, 7423, 11030, 11031, 0, 11032, 0, 0, 0, 7424, 11026, 11027, 0, 11028, 0, 0, 0, 11029, 0, 0, 0, 0, 0, 0, 0, 63, 
-    350, 351, 1405, 352, 1403, 1404, 3779, 353, 1400, 1401, 3778, 1402, 3776, 3777, 7419, 354, 1396, 1397, 3775, 1398, 3773, 3774, 7418, 1399, 3770, 3771, 7417, 3772, 7415, 7416, 11025, 355, 
-    1391, 1392, 3769, 1393, 3767, 3768, 7414, 1394, 3764, 3765, 7413, 3766, 7411, 7412, 11024, 1395, 3760, 3761, 7410, 3762, 7408, 7409, 11023, 3763, 7405, 7406, 11022, 7407, 11020, 11021, 0, 356, 
-    1385, 1386, 3759, 1387, 3757, 3758, 7404, 1388, 3754, 3755, 7403, 3756, 7401, 7402, 11019, 1389, 3750, 3751, 7400, 3752, 7398, 7399, 11018, 3753, 7395, 7396, 11017, 7397, 11015, 11016, 0, 1390, 
-    3745, 3746, 7394, 3747, 7392, 7393, 11014, 3748, 7389, 7390, 11013, 7391, 11011, 11012, 0, 3749, 7385, 7386, 11010, 7387, 11008, 11009, 0, 7388, 11005, 11006, 0, 11007, 0, 0, 0, 357, 
-    1378, 1379, 3744, 1380, 3742, 3743, 7384, 1381, 3739, 3740, 7383, 3741, 7381, 7382, 11004, 1382, 3735, 3736, 7380, 3737, 7378, 7379, 11003, 3738, 7375, 7376, 11002, 7377, 11000, 11001, 0, 1383, 
-    3730, 3731, 7374, 3732, 7372, 7373, 10999, 3733, 7369, 7370, 10998, 7371, 10996, 10997, 0, 3734, 7365, 7366, 10995, 7367, 10993, 10994, 0, 7368, 10990, 10991, 0, 10992, 0, 0, 0, 1384, 
-    3724, 3725, 7364, 3726, 7362, 7363, 10989, 3727, 7359, 7360, 10988, 7361, 10986, 10987, 0, 3728, 7355, 7356, 10985, 7357, 10983, 10984, 0, 7358, 10980, 10981, 0, 10982, 0, 0, 0, 3729, 
-    7350, 7351, 10979, 7352, 10977, 10978, 0, 7353, 10974, 10975, 0, 10976, 0, 0, 0, 7354, 10970, 10971, 0, 10972, 0, 0, 0, 10973, 0, 0, 0, 0, 0, 0, 0, 358, 
-    1370, 1371, 3723, 1372, 3721, 3722, 7349, 1373, 3718, 3719, 7348, 3720, 7346, 7347, 10969, 1374, 3714, 3715, 7345, 3716, 7343, 7344, 10968, 3717, 7340, 7341, 10967, 7342, 10965, 10966, 0, 1375, 
-    3709, 3710, 7339, 3711, 7337, 7338, 10964, 3712, 7334, 7335, 10963, 7336, 10961, 10962, 0, 3713, 7330, 7331, 10960, 7332, 10958, 10959, 0, 7333, 10955, 10956, 0, 10957, 0, 0, 0, 1376, 
-    3703, 3704, 7329, 3705, 7327, 7328, 10954, 3706, 7324, 7325, 10953, 7326, 10951, 10952, 0, 3707, 7320, 7321, 10950, 7322, 10948, 10949, 0, 7323, 10945, 10946, 0, 10947, 0, 0, 0, 3708, 
-    7315, 7316, 10944, 7317, 10942, 10943, 0, 7318, 10939, 10940, 0, 10941, 0, 0, 0, 7319, 10935, 10936, 0, 10937, 0, 0, 0, 10938, 0, 0, 0, 0, 0, 0, 0, 1377, 
-    3696, 3697, 7314, 3698, 7312, 7313, 10934, 3699, 7309, 7310, 10933, 7311, 10931, 10932, 0, 3700, 7305, 7306, 10930, 7307, 10928, 10929, 0, 7308, 10925, 10926, 0, 10927, 0, 0, 0, 3701, 
-    7300, 7301, 10924, 7302, 10922, 10923, 0, 7303, 10919, 10920, 0, 10921, 0, 0, 0, 7304, 10915, 10916, 0, 10917, 0, 0, 0, 10918, 0, 0, 0, 0, 0, 0, 0, 3702, 
-    7294, 7295, 10914, 7296, 10912, 10913, 0, 7297, 10909, 10910, 0, 10911, 0, 0, 0, 7298, 10905, 10906, 0, 10907, 0, 0, 0, 10908, 0, 0, 0, 0, 0, 0, 0, 7299, 
-    10900, 10901, 0, 10902, 0, 0, 0, 10903, 0, 0, 0, 0, 0, 0, 0, 10904, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 
-    340, 341, 1369, 342, 1367, 1368, 3695, 343, 1364, 1365, 3694, 1366, 3692, 3693, 7293, 344, 1360, 1361, 3691, 1362, 3689, 3690, 7292, 1363, 3686, 3687, 7291, 3688, 7289, 7290, 10899, 345, 
-    1355, 1356, 3685, 1357, 3683, 3684, 7288, 1358, 3680, 3681, 7287, 3682, 7285, 7286, 10898, 1359, 3676, 3677, 7284, 3678, 7282, 7283, 10897, 3679, 7279, 7280, 10896, 7281, 10894, 10895, 0, 346, 
-    1349, 1350, 3675, 1351, 3673, 3674, 7278, 1352, 3670, 3671, 7277, 3672, 7275, 7276, 10893, 1353, 3666, 3667, 7274, 3668, 7272, 7273, 10892, 3669, 7269, 7270, 10891, 7271, 10889, 10890, 0, 1354, 
-    3661, 3662, 7268, 3663, 7266, 7267, 10888, 3664, 7263, 7264, 10887, 7265, 10885, 10886, 0, 3665, 7259, 7260, 10884, 7261, 10882, 10883, 0, 7262, 10879, 10880, 0, 10881, 0, 0, 0, 347, 
-    1342, 1343, 3660, 1344, 3658, 3659, 7258, 1345, 3655, 3656, 7257, 3657, 7255, 7256, 10878, 1346, 3651, 3652, 7254, 3653, 7252, 7253, 10877, 3654, 7249, 7250, 10876, 7251, 10874, 10875, 0, 1347, 
-    3646, 3647, 7248, 3648, 7246, 7247, 10873, 3649, 7243, 7244, 10872, 7245, 10870, 10871, 0, 3650, 7239, 7240, 10869, 7241, 10867, 10868, 0, 7242, 10864, 10865, 0, 10866, 0, 0, 0, 1348, 
-    3640, 3641, 7238, 3642, 7236, 7237, 10863, 3643, 7233, 7234, 10862, 7235, 10860, 10861, 0, 3644, 7229, 7230, 10859, 7231, 10857, 10858, 0, 7232, 10854, 10855, 0, 10856, 0, 0, 0, 3645, 
-    7224, 7225, 10853, 7226, 10851, 10852, 0, 7227, 10848, 10849, 0, 10850, 0, 0, 0, 7228, 10844, 10845, 0, 10846, 0, 0, 0, 10847, 0, 0, 0, 0, 0, 0, 0, 348, 
-    1334, 1335, 3639, 1336, 3637, 3638, 7223, 1337, 3634, 3635, 7222, 3636, 7220, 7221, 10843, 1338, 3630, 3631, 7219, 3632, 7217, 7218, 10842, 3633, 7214, 7215, 10841, 7216, 10839, 10840, 0, 1339, 
-    3625, 3626, 7213, 3627, 7211, 7212, 10838, 3628, 7208, 7209, 10837, 7210, 10835, 10836, 0, 3629, 7204, 7205, 10834, 7206, 10832, 10833, 0, 7207, 10829, 10830, 0, 10831, 0, 0, 0, 1340, 
-    3619, 3620, 7203, 3621, 7201, 7202, 10828, 3622, 7198, 7199, 10827, 7200, 10825, 10826, 0, 3623, 7194, 7195, 10824, 7196, 10822, 10823, 0, 7197, 10819, 10820, 0, 10821, 0, 0, 0, 3624, 
-    7189, 7190, 10818, 7191, 10816, 10817, 0, 7192, 10813, 10814, 0, 10815, 0, 0, 0, 7193, 10809, 10810, 0, 10811, 0, 0, 0, 10812, 0, 0, 0, 0, 0, 0, 0, 1341, 
-    3612, 3613, 7188, 3614, 7186, 7187, 10808, 3615, 7183, 7184, 10807, 7185, 10805, 10806, 0, 3616, 7179, 7180, 10804, 7181, 10802, 10803, 0, 7182, 10799, 10800, 0, 10801, 0, 0, 0, 3617, 
-    7174, 7175, 10798, 7176, 10796, 10797, 0, 7177, 10793, 10794, 0, 10795, 0, 0, 0, 7178, 10789, 10790, 0, 10791, 0, 0, 0, 10792, 0, 0, 0, 0, 0, 0, 0, 3618, 
-    7168, 7169, 10788, 7170, 10786, 10787, 0, 7171, 10783, 10784, 0, 10785, 0, 0, 0, 7172, 10779, 10780, 0, 10781, 0, 0, 0, 10782, 0, 0, 0, 0, 0, 0, 0, 7173, 
-    10774, 10775, 0, 10776, 0, 0, 0, 10777, 0, 0, 0, 0, 0, 0, 0, 10778, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 349, 
-    1325, 1326, 3611, 1327, 3609, 3610, 7167, 1328, 3606, 3607, 7166, 3608, 7164, 7165, 10773, 1329, 3602, 3603, 7163, 3604, 7161, 7162, 10772, 3605, 7158, 7159, 10771, 7160, 10769, 10770, 0, 1330, 
-    3597, 3598, 7157, 3599, 7155, 7156, 10768, 3600, 7152, 7153, 10767, 7154, 10765, 10766, 0, 3601, 7148, 7149, 10764, 7150, 10762, 10763, 0, 7151, 10759, 10760, 0, 10761, 0, 0, 0, 1331, 
-    3591, 3592, 7147, 3593, 7145, 7146, 10758, 3594, 7142, 7143, 10757, 7144, 10755, 10756, 0, 3595, 7138, 7139, 10754, 7140, 10752, 10753, 0, 7141, 10749, 10750, 0, 10751, 0, 0, 0, 3596, 
-    7133, 7134, 10748, 7135, 10746, 10747, 0, 7136, 10743, 10744, 0, 10745, 0, 0, 0, 7137, 10739, 10740, 0, 10741, 0, 0, 0, 10742, 0, 0, 0, 0, 0, 0, 0, 1332, 
-    3584, 3585, 7132, 3586, 7130, 7131, 10738, 3587, 7127, 7128, 10737, 7129, 10735, 10736, 0, 3588, 7123, 7124, 10734, 7125, 10732, 10733, 0, 7126, 10729, 10730, 0, 10731, 0, 0, 0, 3589, 
-    7118, 7119, 10728, 7120, 10726, 10727, 0, 7121, 10723, 10724, 0, 10725, 0, 0, 0, 7122, 10719, 10720, 0, 10721, 0, 0, 0, 10722, 0, 0, 0, 0, 0, 0, 0, 3590, 
-    7112, 7113, 10718, 7114, 10716, 10717, 0, 7115, 10713, 10714, 0, 10715, 0, 0, 0, 7116, 10709, 10710, 0, 10711, 0, 0, 0, 10712, 0, 0, 0, 0, 0, 0, 0, 7117, 
-    10704, 10705, 0, 10706, 0, 0, 0, 10707, 0, 0, 0, 0, 0, 0, 0, 10708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1333, 
-    3576, 3577, 7111, 3578, 7109, 7110, 10703, 3579, 7106, 7107, 10702, 7108, 10700, 10701, 0, 3580, 7102, 7103, 10699, 7104, 10697, 10698, 0, 7105, 10694, 10695, 0, 10696, 0, 0, 0, 3581, 
-    7097, 7098, 10693, 7099, 10691, 10692, 0, 7100, 10688, 10689, 0, 10690, 0, 0, 0, 7101, 10684, 10685, 0, 10686, 0, 0, 0, 10687, 0, 0, 0, 0, 0, 0, 0, 3582, 
-    7091, 7092, 10683, 7093, 10681, 10682, 0, 7094, 10678, 10679, 0, 10680, 0, 0, 0, 7095, 10674, 10675, 0, 10676, 0, 0, 0, 10677, 0, 0, 0, 0, 0, 0, 0, 7096, 
-    10669, 10670, 0, 10671, 0, 0, 0, 10672, 0, 0, 0, 0, 0, 0, 0, 10673, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3583, 
-    7084, 7085, 10668, 7086, 10666, 10667, 0, 7087, 10663, 10664, 0, 10665, 0, 0, 0, 7088, 10659, 10660, 0, 10661, 0, 0, 0, 10662, 0, 0, 0, 0, 0, 0, 0, 7089, 
-    10654, 10655, 0, 10656, 0, 0, 0, 10657, 0, 0, 0, 0, 0, 0, 0, 10658, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7090, 
-    10648, 10649, 0, 10650, 0, 0, 0, 10651, 0, 0, 0, 0, 0, 0, 0, 10652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10653, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 
-    42, 43, 339, 44, 337, 338, 1324, 45, 334, 335, 1323, 336, 1321, 1322, 3575, 46, 330, 331, 1320, 332, 1318, 1319, 3574, 333, 1315, 1316, 3573, 1317, 3571, 3572, 7083, 47, 
-    325, 326, 1314, 327, 1312, 1313, 3570, 328, 1309, 1310, 3569, 1311, 3567, 3568, 7082, 329, 1305, 1306, 3566, 1307, 3564, 3565, 7081, 1308, 3561, 3562, 7080, 3563, 7078, 7079, 10647, 48, 
-    319, 320, 1304, 321, 1302, 1303, 3560, 322, 1299, 1300, 3559, 1301, 3557, 3558, 7077, 323, 1295, 1296, 3556, 1297, 3554, 3555, 7076, 1298, 3551, 3552, 7075, 3553, 7073, 7074, 10646, 324, 
-    1290, 1291, 3550, 1292, 3548, 3549, 7072, 1293, 3545, 3546, 7071, 3547, 7069, 7070, 10645, 1294, 3541, 3542, 7068, 3543, 7066, 7067, 10644, 3544, 7063, 7064, 10643, 7065, 10641, 10642, 0, 49, 
-    312, 313, 1289, 314, 1287, 1288, 3540, 315, 1284, 1285, 3539, 1286, 3537, 3538, 7062, 316, 1280, 1281, 3536, 1282, 3534, 3535, 7061, 1283, 3531, 3532, 7060, 3533, 7058, 7059, 10640, 317, 
-    1275, 1276, 3530, 1277, 3528, 3529, 7057, 1278, 3525, 3526, 7056, 3527, 7054, 7055, 10639, 1279, 3521, 3522, 7053, 3523, 7051, 7052, 10638, 3524, 7048, 7049, 10637, 7050, 10635, 10636, 0, 318, 
-    1269, 1270, 3520, 1271, 3518, 3519, 7047, 1272, 3515, 3516, 7046, 3517, 7044, 7045, 10634, 1273, 3511, 3512, 7043, 3513, 7041, 7042, 10633, 3514, 7038, 7039, 10632, 7040, 10630, 10631, 0, 1274, 
-    3506, 3507, 7037, 3508, 7035, 7036, 10629, 3509, 7032, 7033, 10628, 7034, 10626, 10627, 0, 3510, 7028, 7029, 10625, 7030, 10623, 10624, 0, 7031, 10620, 10621, 0, 10622, 0, 0, 0, 50, 
-    304, 305, 1268, 306, 1266, 1267, 3505, 307, 1263, 1264, 3504, 1265, 3502, 3503, 7027, 308, 1259, 1260, 3501, 1261, 3499, 3500, 7026, 1262, 3496, 3497, 7025, 3498, 7023, 7024, 10619, 309, 
-    1254, 1255, 3495, 1256, 3493, 3494, 7022, 1257, 3490, 3491, 7021, 3492, 7019, 7020, 10618, 1258, 3486, 3487, 7018, 3488, 7016, 7017, 10617, 3489, 7013, 7014, 10616, 7015, 10614, 10615, 0, 310, 
-    1248, 1249, 3485, 1250, 3483, 3484, 7012, 1251, 3480, 3481, 7011, 3482, 7009, 7010, 10613, 1252, 3476, 3477, 7008, 3478, 7006, 7007, 10612, 3479, 7003, 7004, 10611, 7005, 10609, 10610, 0, 1253, 
-    3471, 3472, 7002, 3473, 7000, 7001, 10608, 3474, 6997, 6998, 10607, 6999, 10605, 10606, 0, 3475, 6993, 6994, 10604, 6995, 10602, 10603, 0, 6996, 10599, 10600, 0, 10601, 0, 0, 0, 311, 
-    1241, 1242, 3470, 1243, 3468, 3469, 6992, 1244, 3465, 3466, 6991, 3467, 6989, 6990, 10598, 1245, 3461, 3462, 6988, 3463, 6986, 6987, 10597, 3464, 6983, 6984, 10596, 6985, 10594, 10595, 0, 1246, 
-    3456, 3457, 6982, 3458, 6980, 6981, 10593, 3459, 6977, 6978, 10592, 6979, 10590, 10591, 0, 3460, 6973, 6974, 10589, 6975, 10587, 10588, 0, 6976, 10584, 10585, 0, 10586, 0, 0, 0, 1247, 
-    3450, 3451, 6972, 3452, 6970, 6971, 10583, 3453, 6967, 6968, 10582, 6969, 10580, 10581, 0, 3454, 6963, 6964, 10579, 6965, 10577, 10578, 0, 6966, 10574, 10575, 0, 10576, 0, 0, 0, 3455, 
-    6958, 6959, 10573, 6960, 10571, 10572, 0, 6961, 10568, 10569, 0, 10570, 0, 0, 0, 6962, 10564, 10565, 0, 10566, 0, 0, 0, 10567, 0, 0, 0, 0, 0, 0, 0, 51, 
-    295, 296, 1240, 297, 1238, 1239, 3449, 298, 1235, 1236, 3448, 1237, 3446, 3447, 6957, 299, 1231, 1232, 3445, 1233, 3443, 3444, 6956, 1234, 3440, 3441, 6955, 3442, 6953, 6954, 10563, 300, 
-    1226, 1227, 3439, 1228, 3437, 3438, 6952, 1229, 3434, 3435, 6951, 3436, 6949, 6950, 10562, 1230, 3430, 3431, 6948, 3432, 6946, 6947, 10561, 3433, 6943, 6944, 10560, 6945, 10558, 10559, 0, 301, 
-    1220, 1221, 3429, 1222, 3427, 3428, 6942, 1223, 3424, 3425, 6941, 3426, 6939, 6940, 10557, 1224, 3420, 3421, 6938, 3422, 6936, 6937, 10556, 3423, 6933, 6934, 10555, 6935, 10553, 10554, 0, 1225, 
-    3415, 3416, 6932, 3417, 6930, 6931, 10552, 3418, 6927, 6928, 10551, 6929, 10549, 10550, 0, 3419, 6923, 6924, 10548, 6925, 10546, 10547, 0, 6926, 10543, 10544, 0, 10545, 0, 0, 0, 302, 
-    1213, 1214, 3414, 1215, 3412, 3413, 6922, 1216, 3409, 3410, 6921, 3411, 6919, 6920, 10542, 1217, 3405, 3406, 6918, 3407, 6916, 6917, 10541, 3408, 6913, 6914, 10540, 6915, 10538, 10539, 0, 1218, 
-    3400, 3401, 6912, 3402, 6910, 6911, 10537, 3403, 6907, 6908, 10536, 6909, 10534, 10535, 0, 3404, 6903, 6904, 10533, 6905, 10531, 10532, 0, 6906, 10528, 10529, 0, 10530, 0, 0, 0, 1219, 
-    3394, 3395, 6902, 3396, 6900, 6901, 10527, 3397, 6897, 6898, 10526, 6899, 10524, 10525, 0, 3398, 6893, 6894, 10523, 6895, 10521, 10522, 0, 6896, 10518, 10519, 0, 10520, 0, 0, 0, 3399, 
-    6888, 6889, 10517, 6890, 10515, 10516, 0, 6891, 10512, 10513, 0, 10514, 0, 0, 0, 6892, 10508, 10509, 0, 10510, 0, 0, 0, 10511, 0, 0, 0, 0, 0, 0, 0, 303, 
-    1205, 1206, 3393, 1207, 3391, 3392, 6887, 1208, 3388, 3389, 6886, 3390, 6884, 6885, 10507, 1209, 3384, 3385, 6883, 3386, 6881, 6882, 10506, 3387, 6878, 6879, 10505, 6880, 10503, 10504, 0, 1210, 
-    3379, 3380, 6877, 3381, 6875, 6876, 10502, 3382, 6872, 6873, 10501, 6874, 10499, 10500, 0, 3383, 6868, 6869, 10498, 6870, 10496, 10497, 0, 6871, 10493, 10494, 0, 10495, 0, 0, 0, 1211, 
-    3373, 3374, 6867, 3375, 6865, 6866, 10492, 3376, 6862, 6863, 10491, 6864, 10489, 10490, 0, 3377, 6858, 6859, 10488, 6860, 10486, 10487, 0, 6861, 10483, 10484, 0, 10485, 0, 0, 0, 3378, 
-    6853, 6854, 10482, 6855, 10480, 10481, 0, 6856, 10477, 10478, 0, 10479, 0, 0, 0, 6857, 10473, 10474, 0, 10475, 0, 0, 0, 10476, 0, 0, 0, 0, 0, 0, 0, 1212, 
-    3366, 3367, 6852, 3368, 6850, 6851, 10472, 3369, 6847, 6848, 10471, 6849, 10469, 10470, 0, 3370, 6843, 6844, 10468, 6845, 10466, 10467, 0, 6846, 10463, 10464, 0, 10465, 0, 0, 0, 3371, 
-    6838, 6839, 10462, 6840, 10460, 10461, 0, 6841, 10457, 10458, 0, 10459, 0, 0, 0, 6842, 10453, 10454, 0, 10455, 0, 0, 0, 10456, 0, 0, 0, 0, 0, 0, 0, 3372, 
-    6832, 6833, 10452, 6834, 10450, 10451, 0, 6835, 10447, 10448, 0, 10449, 0, 0, 0, 6836, 10443, 10444, 0, 10445, 0, 0, 0, 10446, 0, 0, 0, 0, 0, 0, 0, 6837, 
-    10438, 10439, 0, 10440, 0, 0, 0, 10441, 0, 0, 0, 0, 0, 0, 0, 10442, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 
-    285, 286, 1204, 287, 1202, 1203, 3365, 288, 1199, 1200, 3364, 1201, 3362, 3363, 6831, 289, 1195, 1196, 3361, 1197, 3359, 3360, 6830, 1198, 3356, 3357, 6829, 3358, 6827, 6828, 10437, 290, 
-    1190, 1191, 3355, 1192, 3353, 3354, 6826, 1193, 3350, 3351, 6825, 3352, 6823, 6824, 10436, 1194, 3346, 3347, 6822, 3348, 6820, 6821, 10435, 3349, 6817, 6818, 10434, 6819, 10432, 10433, 0, 291, 
-    1184, 1185, 3345, 1186, 3343, 3344, 6816, 1187, 3340, 3341, 6815, 3342, 6813, 6814, 10431, 1188, 3336, 3337, 6812, 3338, 6810, 6811, 10430, 3339, 6807, 6808, 10429, 6809, 10427, 10428, 0, 1189, 
-    3331, 3332, 6806, 3333, 6804, 6805, 10426, 3334, 6801, 6802, 10425, 6803, 10423, 10424, 0, 3335, 6797, 6798, 10422, 6799, 10420, 10421, 0, 6800, 10417, 10418, 0, 10419, 0, 0, 0, 292, 
-    1177, 1178, 3330, 1179, 3328, 3329, 6796, 1180, 3325, 3326, 6795, 3327, 6793, 6794, 10416, 1181, 3321, 3322, 6792, 3323, 6790, 6791, 10415, 3324, 6787, 6788, 10414, 6789, 10412, 10413, 0, 1182, 
-    3316, 3317, 6786, 3318, 6784, 6785, 10411, 3319, 6781, 6782, 10410, 6783, 10408, 10409, 0, 3320, 6777, 6778, 10407, 6779, 10405, 10406, 0, 6780, 10402, 10403, 0, 10404, 0, 0, 0, 1183, 
-    3310, 3311, 6776, 3312, 6774, 6775, 10401, 3313, 6771, 6772, 10400, 6773, 10398, 10399, 0, 3314, 6767, 6768, 10397, 6769, 10395, 10396, 0, 6770, 10392, 10393, 0, 10394, 0, 0, 0, 3315, 
-    6762, 6763, 10391, 6764, 10389, 10390, 0, 6765, 10386, 10387, 0, 10388, 0, 0, 0, 6766, 10382, 10383, 0, 10384, 0, 0, 0, 10385, 0, 0, 0, 0, 0, 0, 0, 293, 
-    1169, 1170, 3309, 1171, 3307, 3308, 6761, 1172, 3304, 3305, 6760, 3306, 6758, 6759, 10381, 1173, 3300, 3301, 6757, 3302, 6755, 6756, 10380, 3303, 6752, 6753, 10379, 6754, 10377, 10378, 0, 1174, 
-    3295, 3296, 6751, 3297, 6749, 6750, 10376, 3298, 6746, 6747, 10375, 6748, 10373, 10374, 0, 3299, 6742, 6743, 10372, 6744, 10370, 10371, 0, 6745, 10367, 10368, 0, 10369, 0, 0, 0, 1175, 
-    3289, 3290, 6741, 3291, 6739, 6740, 10366, 3292, 6736, 6737, 10365, 6738, 10363, 10364, 0, 3293, 6732, 6733, 10362, 6734, 10360, 10361, 0, 6735, 10357, 10358, 0, 10359, 0, 0, 0, 3294, 
-    6727, 6728, 10356, 6729, 10354, 10355, 0, 6730, 10351, 10352, 0, 10353, 0, 0, 0, 6731, 10347, 10348, 0, 10349, 0, 0, 0, 10350, 0, 0, 0, 0, 0, 0, 0, 1176, 
-    3282, 3283, 6726, 3284, 6724, 6725, 10346, 3285, 6721, 6722, 10345, 6723, 10343, 10344, 0, 3286, 6717, 6718, 10342, 6719, 10340, 10341, 0, 6720, 10337, 10338, 0, 10339, 0, 0, 0, 3287, 
-    6712, 6713, 10336, 6714, 10334, 10335, 0, 6715, 10331, 10332, 0, 10333, 0, 0, 0, 6716, 10327, 10328, 0, 10329, 0, 0, 0, 10330, 0, 0, 0, 0, 0, 0, 0, 3288, 
-    6706, 6707, 10326, 6708, 10324, 10325, 0, 6709, 10321, 10322, 0, 10323, 0, 0, 0, 6710, 10317, 10318, 0, 10319, 0, 0, 0, 10320, 0, 0, 0, 0, 0, 0, 0, 6711, 
-    10312, 10313, 0, 10314, 0, 0, 0, 10315, 0, 0, 0, 0, 0, 0, 0, 10316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 294, 
-    1160, 1161, 3281, 1162, 3279, 3280, 6705, 1163, 3276, 3277, 6704, 3278, 6702, 6703, 10311, 1164, 3272, 3273, 6701, 3274, 6699, 6700, 10310, 3275, 6696, 6697, 10309, 6698, 10307, 10308, 0, 1165, 
-    3267, 3268, 6695, 3269, 6693, 6694, 10306, 3270, 6690, 6691, 10305, 6692, 10303, 10304, 0, 3271, 6686, 6687, 10302, 6688, 10300, 10301, 0, 6689, 10297, 10298, 0, 10299, 0, 0, 0, 1166, 
-    3261, 3262, 6685, 3263, 6683, 6684, 10296, 3264, 6680, 6681, 10295, 6682, 10293, 10294, 0, 3265, 6676, 6677, 10292, 6678, 10290, 10291, 0, 6679, 10287, 10288, 0, 10289, 0, 0, 0, 3266, 
-    6671, 6672, 10286, 6673, 10284, 10285, 0, 6674, 10281, 10282, 0, 10283, 0, 0, 0, 6675, 10277, 10278, 0, 10279, 0, 0, 0, 10280, 0, 0, 0, 0, 0, 0, 0, 1167, 
-    3254, 3255, 6670, 3256, 6668, 6669, 10276, 3257, 6665, 6666, 10275, 6667, 10273, 10274, 0, 3258, 6661, 6662, 10272, 6663, 10270, 10271, 0, 6664, 10267, 10268, 0, 10269, 0, 0, 0, 3259, 
-    6656, 6657, 10266, 6658, 10264, 10265, 0, 6659, 10261, 10262, 0, 10263, 0, 0, 0, 6660, 10257, 10258, 0, 10259, 0, 0, 0, 10260, 0, 0, 0, 0, 0, 0, 0, 3260, 
-    6650, 6651, 10256, 6652, 10254, 10255, 0, 6653, 10251, 10252, 0, 10253, 0, 0, 0, 6654, 10247, 10248, 0, 10249, 0, 0, 0, 10250, 0, 0, 0, 0, 0, 0, 0, 6655, 
-    10242, 10243, 0, 10244, 0, 0, 0, 10245, 0, 0, 0, 0, 0, 0, 0, 10246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1168, 
-    3246, 3247, 6649, 3248, 6647, 6648, 10241, 3249, 6644, 6645, 10240, 6646, 10238, 10239, 0, 3250, 6640, 6641, 10237, 6642, 10235, 10236, 0, 6643, 10232, 10233, 0, 10234, 0, 0, 0, 3251, 
-    6635, 6636, 10231, 6637, 10229, 10230, 0, 6638, 10226, 10227, 0, 10228, 0, 0, 0, 6639, 10222, 10223, 0, 10224, 0, 0, 0, 10225, 0, 0, 0, 0, 0, 0, 0, 3252, 
-    6629, 6630, 10221, 6631, 10219, 10220, 0, 6632, 10216, 10217, 0, 10218, 0, 0, 0, 6633, 10212, 10213, 0, 10214, 0, 0, 0, 10215, 0, 0, 0, 0, 0, 0, 0, 6634, 
-    10207, 10208, 0, 10209, 0, 0, 0, 10210, 0, 0, 0, 0, 0, 0, 0, 10211, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3253, 
-    6622, 6623, 10206, 6624, 10204, 10205, 0, 6625, 10201, 10202, 0, 10203, 0, 0, 0, 6626, 10197, 10198, 0, 10199, 0, 0, 0, 10200, 0, 0, 0, 0, 0, 0, 0, 6627, 
-    10192, 10193, 0, 10194, 0, 0, 0, 10195, 0, 0, 0, 0, 0, 0, 0, 10196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6628, 
-    10186, 10187, 0, 10188, 0, 0, 0, 10189, 0, 0, 0, 0, 0, 0, 0, 10190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10191, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53, 
-    274, 275, 1159, 276, 1157, 1158, 3245, 277, 1154, 1155, 3244, 1156, 3242, 3243, 6621, 278, 1150, 1151, 3241, 1152, 3239, 3240, 6620, 1153, 3236, 3237, 6619, 3238, 6617, 6618, 10185, 279, 
-    1145, 1146, 3235, 1147, 3233, 3234, 6616, 1148, 3230, 3231, 6615, 3232, 6613, 6614, 10184, 1149, 3226, 3227, 6612, 3228, 6610, 6611, 10183, 3229, 6607, 6608, 10182, 6609, 10180, 10181, 0, 280, 
-    1139, 1140, 3225, 1141, 3223, 3224, 6606, 1142, 3220, 3221, 6605, 3222, 6603, 6604, 10179, 1143, 3216, 3217, 6602, 3218, 6600, 6601, 10178, 3219, 6597, 6598, 10177, 6599, 10175, 10176, 0, 1144, 
-    3211, 3212, 6596, 3213, 6594, 6595, 10174, 3214, 6591, 6592, 10173, 6593, 10171, 10172, 0, 3215, 6587, 6588, 10170, 6589, 10168, 10169, 0, 6590, 10165, 10166, 0, 10167, 0, 0, 0, 281, 
-    1132, 1133, 3210, 1134, 3208, 3209, 6586, 1135, 3205, 3206, 6585, 3207, 6583, 6584, 10164, 1136, 3201, 3202, 6582, 3203, 6580, 6581, 10163, 3204, 6577, 6578, 10162, 6579, 10160, 10161, 0, 1137, 
-    3196, 3197, 6576, 3198, 6574, 6575, 10159, 3199, 6571, 6572, 10158, 6573, 10156, 10157, 0, 3200, 6567, 6568, 10155, 6569, 10153, 10154, 0, 6570, 10150, 10151, 0, 10152, 0, 0, 0, 1138, 
-    3190, 3191, 6566, 3192, 6564, 6565, 10149, 3193, 6561, 6562, 10148, 6563, 10146, 10147, 0, 3194, 6557, 6558, 10145, 6559, 10143, 10144, 0, 6560, 10140, 10141, 0, 10142, 0, 0, 0, 3195, 
-    6552, 6553, 10139, 6554, 10137, 10138, 0, 6555, 10134, 10135, 0, 10136, 0, 0, 0, 6556, 10130, 10131, 0, 10132, 0, 0, 0, 10133, 0, 0, 0, 0, 0, 0, 0, 282, 
-    1124, 1125, 3189, 1126, 3187, 3188, 6551, 1127, 3184, 3185, 6550, 3186, 6548, 6549, 10129, 1128, 3180, 3181, 6547, 3182, 6545, 6546, 10128, 3183, 6542, 6543, 10127, 6544, 10125, 10126, 0, 1129, 
-    3175, 3176, 6541, 3177, 6539, 6540, 10124, 3178, 6536, 6537, 10123, 6538, 10121, 10122, 0, 3179, 6532, 6533, 10120, 6534, 10118, 10119, 0, 6535, 10115, 10116, 0, 10117, 0, 0, 0, 1130, 
-    3169, 3170, 6531, 3171, 6529, 6530, 10114, 3172, 6526, 6527, 10113, 6528, 10111, 10112, 0, 3173, 6522, 6523, 10110, 6524, 10108, 10109, 0, 6525, 10105, 10106, 0, 10107, 0, 0, 0, 3174, 
-    6517, 6518, 10104, 6519, 10102, 10103, 0, 6520, 10099, 10100, 0, 10101, 0, 0, 0, 6521, 10095, 10096, 0, 10097, 0, 0, 0, 10098, 0, 0, 0, 0, 0, 0, 0, 1131, 
-    3162, 3163, 6516, 3164, 6514, 6515, 10094, 3165, 6511, 6512, 10093, 6513, 10091, 10092, 0, 3166, 6507, 6508, 10090, 6509, 10088, 10089, 0, 6510, 10085, 10086, 0, 10087, 0, 0, 0, 3167, 
-    6502, 6503, 10084, 6504, 10082, 10083, 0, 6505, 10079, 10080, 0, 10081, 0, 0, 0, 6506, 10075, 10076, 0, 10077, 0, 0, 0, 10078, 0, 0, 0, 0, 0, 0, 0, 3168, 
-    6496, 6497, 10074, 6498, 10072, 10073, 0, 6499, 10069, 10070, 0, 10071, 0, 0, 0, 6500, 10065, 10066, 0, 10067, 0, 0, 0, 10068, 0, 0, 0, 0, 0, 0, 0, 6501, 
-    10060, 10061, 0, 10062, 0, 0, 0, 10063, 0, 0, 0, 0, 0, 0, 0, 10064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 283, 
-    1115, 1116, 3161, 1117, 3159, 3160, 6495, 1118, 3156, 3157, 6494, 3158, 6492, 6493, 10059, 1119, 3152, 3153, 6491, 3154, 6489, 6490, 10058, 3155, 6486, 6487, 10057, 6488, 10055, 10056, 0, 1120, 
-    3147, 3148, 6485, 3149, 6483, 6484, 10054, 3150, 6480, 6481, 10053, 6482, 10051, 10052, 0, 3151, 6476, 6477, 10050, 6478, 10048, 10049, 0, 6479, 10045, 10046, 0, 10047, 0, 0, 0, 1121, 
-    3141, 3142, 6475, 3143, 6473, 6474, 10044, 3144, 6470, 6471, 10043, 6472, 10041, 10042, 0, 3145, 6466, 6467, 10040, 6468, 10038, 10039, 0, 6469, 10035, 10036, 0, 10037, 0, 0, 0, 3146, 
-    6461, 6462, 10034, 6463, 10032, 10033, 0, 6464, 10029, 10030, 0, 10031, 0, 0, 0, 6465, 10025, 10026, 0, 10027, 0, 0, 0, 10028, 0, 0, 0, 0, 0, 0, 0, 1122, 
-    3134, 3135, 6460, 3136, 6458, 6459, 10024, 3137, 6455, 6456, 10023, 6457, 10021, 10022, 0, 3138, 6451, 6452, 10020, 6453, 10018, 10019, 0, 6454, 10015, 10016, 0, 10017, 0, 0, 0, 3139, 
-    6446, 6447, 10014, 6448, 10012, 10013, 0, 6449, 10009, 10010, 0, 10011, 0, 0, 0, 6450, 10005, 10006, 0, 10007, 0, 0, 0, 10008, 0, 0, 0, 0, 0, 0, 0, 3140, 
-    6440, 6441, 10004, 6442, 10002, 10003, 0, 6443, 9999, 10000, 0, 10001, 0, 0, 0, 6444, 9995, 9996, 0, 9997, 0, 0, 0, 9998, 0, 0, 0, 0, 0, 0, 0, 6445, 
-    9990, 9991, 0, 9992, 0, 0, 0, 9993, 0, 0, 0, 0, 0, 0, 0, 9994, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1123, 
-    3126, 3127, 6439, 3128, 6437, 6438, 9989, 3129, 6434, 6435, 9988, 6436, 9986, 9987, 0, 3130, 6430, 6431, 9985, 6432, 9983, 9984, 0, 6433, 9980, 9981, 0, 9982, 0, 0, 0, 3131, 
-    6425, 6426, 9979, 6427, 9977, 9978, 0, 6428, 9974, 9975, 0, 9976, 0, 0, 0, 6429, 9970, 9971, 0, 9972, 0, 0, 0, 9973, 0, 0, 0, 0, 0, 0, 0, 3132, 
-    6419, 6420, 9969, 6421, 9967, 9968, 0, 6422, 9964, 9965, 0, 9966, 0, 0, 0, 6423, 9960, 9961, 0, 9962, 0, 0, 0, 9963, 0, 0, 0, 0, 0, 0, 0, 6424, 
-    9955, 9956, 0, 9957, 0, 0, 0, 9958, 0, 0, 0, 0, 0, 0, 0, 9959, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3133, 
-    6412, 6413, 9954, 6414, 9952, 9953, 0, 6415, 9949, 9950, 0, 9951, 0, 0, 0, 6416, 9945, 9946, 0, 9947, 0, 0, 0, 9948, 0, 0, 0, 0, 0, 0, 0, 6417, 
-    9940, 9941, 0, 9942, 0, 0, 0, 9943, 0, 0, 0, 0, 0, 0, 0, 9944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6418, 
-    9934, 9935, 0, 9936, 0, 0, 0, 9937, 0, 0, 0, 0, 0, 0, 0, 9938, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9939, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 284, 
-    1105, 1106, 3125, 1107, 3123, 3124, 6411, 1108, 3120, 3121, 6410, 3122, 6408, 6409, 9933, 1109, 3116, 3117, 6407, 3118, 6405, 6406, 9932, 3119, 6402, 6403, 9931, 6404, 9929, 9930, 0, 1110, 
-    3111, 3112, 6401, 3113, 6399, 6400, 9928, 3114, 6396, 6397, 9927, 6398, 9925, 9926, 0, 3115, 6392, 6393, 9924, 6394, 9922, 9923, 0, 6395, 9919, 9920, 0, 9921, 0, 0, 0, 1111, 
-    3105, 3106, 6391, 3107, 6389, 6390, 9918, 3108, 6386, 6387, 9917, 6388, 9915, 9916, 0, 3109, 6382, 6383, 9914, 6384, 9912, 9913, 0, 6385, 9909, 9910, 0, 9911, 0, 0, 0, 3110, 
-    6377, 6378, 9908, 6379, 9906, 9907, 0, 6380, 9903, 9904, 0, 9905, 0, 0, 0, 6381, 9899, 9900, 0, 9901, 0, 0, 0, 9902, 0, 0, 0, 0, 0, 0, 0, 1112, 
-    3098, 3099, 6376, 3100, 6374, 6375, 9898, 3101, 6371, 6372, 9897, 6373, 9895, 9896, 0, 3102, 6367, 6368, 9894, 6369, 9892, 9893, 0, 6370, 9889, 9890, 0, 9891, 0, 0, 0, 3103, 
-    6362, 6363, 9888, 6364, 9886, 9887, 0, 6365, 9883, 9884, 0, 9885, 0, 0, 0, 6366, 9879, 9880, 0, 9881, 0, 0, 0, 9882, 0, 0, 0, 0, 0, 0, 0, 3104, 
-    6356, 6357, 9878, 6358, 9876, 9877, 0, 6359, 9873, 9874, 0, 9875, 0, 0, 0, 6360, 9869, 9870, 0, 9871, 0, 0, 0, 9872, 0, 0, 0, 0, 0, 0, 0, 6361, 
-    9864, 9865, 0, 9866, 0, 0, 0, 9867, 0, 0, 0, 0, 0, 0, 0, 9868, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1113, 
-    3090, 3091, 6355, 3092, 6353, 6354, 9863, 3093, 6350, 6351, 9862, 6352, 9860, 9861, 0, 3094, 6346, 6347, 9859, 6348, 9857, 9858, 0, 6349, 9854, 9855, 0, 9856, 0, 0, 0, 3095, 
-    6341, 6342, 9853, 6343, 9851, 9852, 0, 6344, 9848, 9849, 0, 9850, 0, 0, 0, 6345, 9844, 9845, 0, 9846, 0, 0, 0, 9847, 0, 0, 0, 0, 0, 0, 0, 3096, 
-    6335, 6336, 9843, 6337, 9841, 9842, 0, 6338, 9838, 9839, 0, 9840, 0, 0, 0, 6339, 9834, 9835, 0, 9836, 0, 0, 0, 9837, 0, 0, 0, 0, 0, 0, 0, 6340, 
-    9829, 9830, 0, 9831, 0, 0, 0, 9832, 0, 0, 0, 0, 0, 0, 0, 9833, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3097, 
-    6328, 6329, 9828, 6330, 9826, 9827, 0, 6331, 9823, 9824, 0, 9825, 0, 0, 0, 6332, 9819, 9820, 0, 9821, 0, 0, 0, 9822, 0, 0, 0, 0, 0, 0, 0, 6333, 
-    9814, 9815, 0, 9816, 0, 0, 0, 9817, 0, 0, 0, 0, 0, 0, 0, 9818, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6334, 
-    9808, 9809, 0, 9810, 0, 0, 0, 9811, 0, 0, 0, 0, 0, 0, 0, 9812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9813, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1114, 
-    3081, 3082, 6327, 3083, 6325, 6326, 9807, 3084, 6322, 6323, 9806, 6324, 9804, 9805, 0, 3085, 6318, 6319, 9803, 6320, 9801, 9802, 0, 6321, 9798, 9799, 0, 9800, 0, 0, 0, 3086, 
-    6313, 6314, 9797, 6315, 9795, 9796, 0, 6316, 9792, 9793, 0, 9794, 0, 0, 0, 6317, 9788, 9789, 0, 9790, 0, 0, 0, 9791, 0, 0, 0, 0, 0, 0, 0, 3087, 
-    6307, 6308, 9787, 6309, 9785, 9786, 0, 6310, 9782, 9783, 0, 9784, 0, 0, 0, 6311, 9778, 9779, 0, 9780, 0, 0, 0, 9781, 0, 0, 0, 0, 0, 0, 0, 6312, 
-    9773, 9774, 0, 9775, 0, 0, 0, 9776, 0, 0, 0, 0, 0, 0, 0, 9777, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3088, 
-    6300, 6301, 9772, 6302, 9770, 9771, 0, 6303, 9767, 9768, 0, 9769, 0, 0, 0, 6304, 9763, 9764, 0, 9765, 0, 0, 0, 9766, 0, 0, 0, 0, 0, 0, 0, 6305, 
-    9758, 9759, 0, 9760, 0, 0, 0, 9761, 0, 0, 0, 0, 0, 0, 0, 9762, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6306, 
-    9752, 9753, 0, 9754, 0, 0, 0, 9755, 0, 0, 0, 0, 0, 0, 0, 9756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9757, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3089, 
-    6292, 6293, 9751, 6294, 9749, 9750, 0, 6295, 9746, 9747, 0, 9748, 0, 0, 0, 6296, 9742, 9743, 0, 9744, 0, 0, 0, 9745, 0, 0, 0, 0, 0, 0, 0, 6297, 
-    9737, 9738, 0, 9739, 0, 0, 0, 9740, 0, 0, 0, 0, 0, 0, 0, 9741, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6298, 
-    9731, 9732, 0, 9733, 0, 0, 0, 9734, 0, 0, 0, 0, 0, 0, 0, 9735, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9736, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6299, 
-    9724, 9725, 0, 9726, 0, 0, 0, 9727, 0, 0, 0, 0, 0, 0, 0, 9728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9729, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9730, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 
-    29, 30, 273, 31, 271, 272, 1104, 32, 268, 269, 1103, 270, 1101, 1102, 3080, 33, 264, 265, 1100, 266, 1098, 1099, 3079, 267, 1095, 1096, 3078, 1097, 3076, 3077, 6291, 34, 
-    259, 260, 1094, 261, 1092, 1093, 3075, 262, 1089, 1090, 3074, 1091, 3072, 3073, 6290, 263, 1085, 1086, 3071, 1087, 3069, 3070, 6289, 1088, 3066, 3067, 6288, 3068, 6286, 6287, 9723, 35, 
-    253, 254, 1084, 255, 1082, 1083, 3065, 256, 1079, 1080, 3064, 1081, 3062, 3063, 6285, 257, 1075, 1076, 3061, 1077, 3059, 3060, 6284, 1078, 3056, 3057, 6283, 3058, 6281, 6282, 9722, 258, 
-    1070, 1071, 3055, 1072, 3053, 3054, 6280, 1073, 3050, 3051, 6279, 3052, 6277, 6278, 9721, 1074, 3046, 3047, 6276, 3048, 6274, 6275, 9720, 3049, 6271, 6272, 9719, 6273, 9717, 9718, 0, 36, 
-    246, 247, 1069, 248, 1067, 1068, 3045, 249, 1064, 1065, 3044, 1066, 3042, 3043, 6270, 250, 1060, 1061, 3041, 1062, 3039, 3040, 6269, 1063, 3036, 3037, 6268, 3038, 6266, 6267, 9716, 251, 
-    1055, 1056, 3035, 1057, 3033, 3034, 6265, 1058, 3030, 3031, 6264, 3032, 6262, 6263, 9715, 1059, 3026, 3027, 6261, 3028, 6259, 6260, 9714, 3029, 6256, 6257, 9713, 6258, 9711, 9712, 0, 252, 
-    1049, 1050, 3025, 1051, 3023, 3024, 6255, 1052, 3020, 3021, 6254, 3022, 6252, 6253, 9710, 1053, 3016, 3017, 6251, 3018, 6249, 6250, 9709, 3019, 6246, 6247, 9708, 6248, 9706, 9707, 0, 1054, 
-    3011, 3012, 6245, 3013, 6243, 6244, 9705, 3014, 6240, 6241, 9704, 6242, 9702, 9703, 0, 3015, 6236, 6237, 9701, 6238, 9699, 9700, 0, 6239, 9696, 9697, 0, 9698, 0, 0, 0, 37, 
-    238, 239, 1048, 240, 1046, 1047, 3010, 241, 1043, 1044, 3009, 1045, 3007, 3008, 6235, 242, 1039, 1040, 3006, 1041, 3004, 3005, 6234, 1042, 3001, 3002, 6233, 3003, 6231, 6232, 9695, 243, 
-    1034, 1035, 3000, 1036, 2998, 2999, 6230, 1037, 2995, 2996, 6229, 2997, 6227, 6228, 9694, 1038, 2991, 2992, 6226, 2993, 6224, 6225, 9693, 2994, 6221, 6222, 9692, 6223, 9690, 9691, 0, 244, 
-    1028, 1029, 2990, 1030, 2988, 2989, 6220, 1031, 2985, 2986, 6219, 2987, 6217, 6218, 9689, 1032, 2981, 2982, 6216, 2983, 6214, 6215, 9688, 2984, 6211, 6212, 9687, 6213, 9685, 9686, 0, 1033, 
-    2976, 2977, 6210, 2978, 6208, 6209, 9684, 2979, 6205, 6206, 9683, 6207, 9681, 9682, 0, 2980, 6201, 6202, 9680, 6203, 9678, 9679, 0, 6204, 9675, 9676, 0, 9677, 0, 0, 0, 245, 
-    1021, 1022, 2975, 1023, 2973, 2974, 6200, 1024, 2970, 2971, 6199, 2972, 6197, 6198, 9674, 1025, 2966, 2967, 6196, 2968, 6194, 6195, 9673, 2969, 6191, 6192, 9672, 6193, 9670, 9671, 0, 1026, 
-    2961, 2962, 6190, 2963, 6188, 6189, 9669, 2964, 6185, 6186, 9668, 6187, 9666, 9667, 0, 2965, 6181, 6182, 9665, 6183, 9663, 9664, 0, 6184, 9660, 9661, 0, 9662, 0, 0, 0, 1027, 
-    2955, 2956, 6180, 2957, 6178, 6179, 9659, 2958, 6175, 6176, 9658, 6177, 9656, 9657, 0, 2959, 6171, 6172, 9655, 6173, 9653, 9654, 0, 6174, 9650, 9651, 0, 9652, 0, 0, 0, 2960, 
-    6166, 6167, 9649, 6168, 9647, 9648, 0, 6169, 9644, 9645, 0, 9646, 0, 0, 0, 6170, 9640, 9641, 0, 9642, 0, 0, 0, 9643, 0, 0, 0, 0, 0, 0, 0, 38, 
-    229, 230, 1020, 231, 1018, 1019, 2954, 232, 1015, 1016, 2953, 1017, 2951, 2952, 6165, 233, 1011, 1012, 2950, 1013, 2948, 2949, 6164, 1014, 2945, 2946, 6163, 2947, 6161, 6162, 9639, 234, 
-    1006, 1007, 2944, 1008, 2942, 2943, 6160, 1009, 2939, 2940, 6159, 2941, 6157, 6158, 9638, 1010, 2935, 2936, 6156, 2937, 6154, 6155, 9637, 2938, 6151, 6152, 9636, 6153, 9634, 9635, 0, 235, 
-    1000, 1001, 2934, 1002, 2932, 2933, 6150, 1003, 2929, 2930, 6149, 2931, 6147, 6148, 9633, 1004, 2925, 2926, 6146, 2927, 6144, 6145, 9632, 2928, 6141, 6142, 9631, 6143, 9629, 9630, 0, 1005, 
-    2920, 2921, 6140, 2922, 6138, 6139, 9628, 2923, 6135, 6136, 9627, 6137, 9625, 9626, 0, 2924, 6131, 6132, 9624, 6133, 9622, 9623, 0, 6134, 9619, 9620, 0, 9621, 0, 0, 0, 236, 
-    993, 994, 2919, 995, 2917, 2918, 6130, 996, 2914, 2915, 6129, 2916, 6127, 6128, 9618, 997, 2910, 2911, 6126, 2912, 6124, 6125, 9617, 2913, 6121, 6122, 9616, 6123, 9614, 9615, 0, 998, 
-    2905, 2906, 6120, 2907, 6118, 6119, 9613, 2908, 6115, 6116, 9612, 6117, 9610, 9611, 0, 2909, 6111, 6112, 9609, 6113, 9607, 9608, 0, 6114, 9604, 9605, 0, 9606, 0, 0, 0, 999, 
-    2899, 2900, 6110, 2901, 6108, 6109, 9603, 2902, 6105, 6106, 9602, 6107, 9600, 9601, 0, 2903, 6101, 6102, 9599, 6103, 9597, 9598, 0, 6104, 9594, 9595, 0, 9596, 0, 0, 0, 2904, 
-    6096, 6097, 9593, 6098, 9591, 9592, 0, 6099, 9588, 9589, 0, 9590, 0, 0, 0, 6100, 9584, 9585, 0, 9586, 0, 0, 0, 9587, 0, 0, 0, 0, 0, 0, 0, 237, 
-    985, 986, 2898, 987, 2896, 2897, 6095, 988, 2893, 2894, 6094, 2895, 6092, 6093, 9583, 989, 2889, 2890, 6091, 2891, 6089, 6090, 9582, 2892, 6086, 6087, 9581, 6088, 9579, 9580, 0, 990, 
-    2884, 2885, 6085, 2886, 6083, 6084, 9578, 2887, 6080, 6081, 9577, 6082, 9575, 9576, 0, 2888, 6076, 6077, 9574, 6078, 9572, 9573, 0, 6079, 9569, 9570, 0, 9571, 0, 0, 0, 991, 
-    2878, 2879, 6075, 2880, 6073, 6074, 9568, 2881, 6070, 6071, 9567, 6072, 9565, 9566, 0, 2882, 6066, 6067, 9564, 6068, 9562, 9563, 0, 6069, 9559, 9560, 0, 9561, 0, 0, 0, 2883, 
-    6061, 6062, 9558, 6063, 9556, 9557, 0, 6064, 9553, 9554, 0, 9555, 0, 0, 0, 6065, 9549, 9550, 0, 9551, 0, 0, 0, 9552, 0, 0, 0, 0, 0, 0, 0, 992, 
-    2871, 2872, 6060, 2873, 6058, 6059, 9548, 2874, 6055, 6056, 9547, 6057, 9545, 9546, 0, 2875, 6051, 6052, 9544, 6053, 9542, 9543, 0, 6054, 9539, 9540, 0, 9541, 0, 0, 0, 2876, 
-    6046, 6047, 9538, 6048, 9536, 9537, 0, 6049, 9533, 9534, 0, 9535, 0, 0, 0, 6050, 9529, 9530, 0, 9531, 0, 0, 0, 9532, 0, 0, 0, 0, 0, 0, 0, 2877, 
-    6040, 6041, 9528, 6042, 9526, 9527, 0, 6043, 9523, 9524, 0, 9525, 0, 0, 0, 6044, 9519, 9520, 0, 9521, 0, 0, 0, 9522, 0, 0, 0, 0, 0, 0, 0, 6045, 
-    9514, 9515, 0, 9516, 0, 0, 0, 9517, 0, 0, 0, 0, 0, 0, 0, 9518, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39, 
-    219, 220, 984, 221, 982, 983, 2870, 222, 979, 980, 2869, 981, 2867, 2868, 6039, 223, 975, 976, 2866, 977, 2864, 2865, 6038, 978, 2861, 2862, 6037, 2863, 6035, 6036, 9513, 224, 
-    970, 971, 2860, 972, 2858, 2859, 6034, 973, 2855, 2856, 6033, 2857, 6031, 6032, 9512, 974, 2851, 2852, 6030, 2853, 6028, 6029, 9511, 2854, 6025, 6026, 9510, 6027, 9508, 9509, 0, 225, 
-    964, 965, 2850, 966, 2848, 2849, 6024, 967, 2845, 2846, 6023, 2847, 6021, 6022, 9507, 968, 2841, 2842, 6020, 2843, 6018, 6019, 9506, 2844, 6015, 6016, 9505, 6017, 9503, 9504, 0, 969, 
-    2836, 2837, 6014, 2838, 6012, 6013, 9502, 2839, 6009, 6010, 9501, 6011, 9499, 9500, 0, 2840, 6005, 6006, 9498, 6007, 9496, 9497, 0, 6008, 9493, 9494, 0, 9495, 0, 0, 0, 226, 
-    957, 958, 2835, 959, 2833, 2834, 6004, 960, 2830, 2831, 6003, 2832, 6001, 6002, 9492, 961, 2826, 2827, 6000, 2828, 5998, 5999, 9491, 2829, 5995, 5996, 9490, 5997, 9488, 9489, 0, 962, 
-    2821, 2822, 5994, 2823, 5992, 5993, 9487, 2824, 5989, 5990, 9486, 5991, 9484, 9485, 0, 2825, 5985, 5986, 9483, 5987, 9481, 9482, 0, 5988, 9478, 9479, 0, 9480, 0, 0, 0, 963, 
-    2815, 2816, 5984, 2817, 5982, 5983, 9477, 2818, 5979, 5980, 9476, 5981, 9474, 9475, 0, 2819, 5975, 5976, 9473, 5977, 9471, 9472, 0, 5978, 9468, 9469, 0, 9470, 0, 0, 0, 2820, 
-    5970, 5971, 9467, 5972, 9465, 9466, 0, 5973, 9462, 9463, 0, 9464, 0, 0, 0, 5974, 9458, 9459, 0, 9460, 0, 0, 0, 9461, 0, 0, 0, 0, 0, 0, 0, 227, 
-    949, 950, 2814, 951, 2812, 2813, 5969, 952, 2809, 2810, 5968, 2811, 5966, 5967, 9457, 953, 2805, 2806, 5965, 2807, 5963, 5964, 9456, 2808, 5960, 5961, 9455, 5962, 9453, 9454, 0, 954, 
-    2800, 2801, 5959, 2802, 5957, 5958, 9452, 2803, 5954, 5955, 9451, 5956, 9449, 9450, 0, 2804, 5950, 5951, 9448, 5952, 9446, 9447, 0, 5953, 9443, 9444, 0, 9445, 0, 0, 0, 955, 
-    2794, 2795, 5949, 2796, 5947, 5948, 9442, 2797, 5944, 5945, 9441, 5946, 9439, 9440, 0, 2798, 5940, 5941, 9438, 5942, 9436, 9437, 0, 5943, 9433, 9434, 0, 9435, 0, 0, 0, 2799, 
-    5935, 5936, 9432, 5937, 9430, 9431, 0, 5938, 9427, 9428, 0, 9429, 0, 0, 0, 5939, 9423, 9424, 0, 9425, 0, 0, 0, 9426, 0, 0, 0, 0, 0, 0, 0, 956, 
-    2787, 2788, 5934, 2789, 5932, 5933, 9422, 2790, 5929, 5930, 9421, 5931, 9419, 9420, 0, 2791, 5925, 5926, 9418, 5927, 9416, 9417, 0, 5928, 9413, 9414, 0, 9415, 0, 0, 0, 2792, 
-    5920, 5921, 9412, 5922, 9410, 9411, 0, 5923, 9407, 9408, 0, 9409, 0, 0, 0, 5924, 9403, 9404, 0, 9405, 0, 0, 0, 9406, 0, 0, 0, 0, 0, 0, 0, 2793, 
-    5914, 5915, 9402, 5916, 9400, 9401, 0, 5917, 9397, 9398, 0, 9399, 0, 0, 0, 5918, 9393, 9394, 0, 9395, 0, 0, 0, 9396, 0, 0, 0, 0, 0, 0, 0, 5919, 
-    9388, 9389, 0, 9390, 0, 0, 0, 9391, 0, 0, 0, 0, 0, 0, 0, 9392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 
-    940, 941, 2786, 942, 2784, 2785, 5913, 943, 2781, 2782, 5912, 2783, 5910, 5911, 9387, 944, 2777, 2778, 5909, 2779, 5907, 5908, 9386, 2780, 5904, 5905, 9385, 5906, 9383, 9384, 0, 945, 
-    2772, 2773, 5903, 2774, 5901, 5902, 9382, 2775, 5898, 5899, 9381, 5900, 9379, 9380, 0, 2776, 5894, 5895, 9378, 5896, 9376, 9377, 0, 5897, 9373, 9374, 0, 9375, 0, 0, 0, 946, 
-    2766, 2767, 5893, 2768, 5891, 5892, 9372, 2769, 5888, 5889, 9371, 5890, 9369, 9370, 0, 2770, 5884, 5885, 9368, 5886, 9366, 9367, 0, 5887, 9363, 9364, 0, 9365, 0, 0, 0, 2771, 
-    5879, 5880, 9362, 5881, 9360, 9361, 0, 5882, 9357, 9358, 0, 9359, 0, 0, 0, 5883, 9353, 9354, 0, 9355, 0, 0, 0, 9356, 0, 0, 0, 0, 0, 0, 0, 947, 
-    2759, 2760, 5878, 2761, 5876, 5877, 9352, 2762, 5873, 5874, 9351, 5875, 9349, 9350, 0, 2763, 5869, 5870, 9348, 5871, 9346, 9347, 0, 5872, 9343, 9344, 0, 9345, 0, 0, 0, 2764, 
-    5864, 5865, 9342, 5866, 9340, 9341, 0, 5867, 9337, 9338, 0, 9339, 0, 0, 0, 5868, 9333, 9334, 0, 9335, 0, 0, 0, 9336, 0, 0, 0, 0, 0, 0, 0, 2765, 
-    5858, 5859, 9332, 5860, 9330, 9331, 0, 5861, 9327, 9328, 0, 9329, 0, 0, 0, 5862, 9323, 9324, 0, 9325, 0, 0, 0, 9326, 0, 0, 0, 0, 0, 0, 0, 5863, 
-    9318, 9319, 0, 9320, 0, 0, 0, 9321, 0, 0, 0, 0, 0, 0, 0, 9322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 948, 
-    2751, 2752, 5857, 2753, 5855, 5856, 9317, 2754, 5852, 5853, 9316, 5854, 9314, 9315, 0, 2755, 5848, 5849, 9313, 5850, 9311, 9312, 0, 5851, 9308, 9309, 0, 9310, 0, 0, 0, 2756, 
-    5843, 5844, 9307, 5845, 9305, 9306, 0, 5846, 9302, 9303, 0, 9304, 0, 0, 0, 5847, 9298, 9299, 0, 9300, 0, 0, 0, 9301, 0, 0, 0, 0, 0, 0, 0, 2757, 
-    5837, 5838, 9297, 5839, 9295, 9296, 0, 5840, 9292, 9293, 0, 9294, 0, 0, 0, 5841, 9288, 9289, 0, 9290, 0, 0, 0, 9291, 0, 0, 0, 0, 0, 0, 0, 5842, 
-    9283, 9284, 0, 9285, 0, 0, 0, 9286, 0, 0, 0, 0, 0, 0, 0, 9287, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2758, 
-    5830, 5831, 9282, 5832, 9280, 9281, 0, 5833, 9277, 9278, 0, 9279, 0, 0, 0, 5834, 9273, 9274, 0, 9275, 0, 0, 0, 9276, 0, 0, 0, 0, 0, 0, 0, 5835, 
-    9268, 9269, 0, 9270, 0, 0, 0, 9271, 0, 0, 0, 0, 0, 0, 0, 9272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5836, 
-    9262, 9263, 0, 9264, 0, 0, 0, 9265, 0, 0, 0, 0, 0, 0, 0, 9266, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9267, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 
-    208, 209, 939, 210, 937, 938, 2750, 211, 934, 935, 2749, 936, 2747, 2748, 5829, 212, 930, 931, 2746, 932, 2744, 2745, 5828, 933, 2741, 2742, 5827, 2743, 5825, 5826, 9261, 213, 
-    925, 926, 2740, 927, 2738, 2739, 5824, 928, 2735, 2736, 5823, 2737, 5821, 5822, 9260, 929, 2731, 2732, 5820, 2733, 5818, 5819, 9259, 2734, 5815, 5816, 9258, 5817, 9256, 9257, 0, 214, 
-    919, 920, 2730, 921, 2728, 2729, 5814, 922, 2725, 2726, 5813, 2727, 5811, 5812, 9255, 923, 2721, 2722, 5810, 2723, 5808, 5809, 9254, 2724, 5805, 5806, 9253, 5807, 9251, 9252, 0, 924, 
-    2716, 2717, 5804, 2718, 5802, 5803, 9250, 2719, 5799, 5800, 9249, 5801, 9247, 9248, 0, 2720, 5795, 5796, 9246, 5797, 9244, 9245, 0, 5798, 9241, 9242, 0, 9243, 0, 0, 0, 215, 
-    912, 913, 2715, 914, 2713, 2714, 5794, 915, 2710, 2711, 5793, 2712, 5791, 5792, 9240, 916, 2706, 2707, 5790, 2708, 5788, 5789, 9239, 2709, 5785, 5786, 9238, 5787, 9236, 9237, 0, 917, 
-    2701, 2702, 5784, 2703, 5782, 5783, 9235, 2704, 5779, 5780, 9234, 5781, 9232, 9233, 0, 2705, 5775, 5776, 9231, 5777, 9229, 9230, 0, 5778, 9226, 9227, 0, 9228, 0, 0, 0, 918, 
-    2695, 2696, 5774, 2697, 5772, 5773, 9225, 2698, 5769, 5770, 9224, 5771, 9222, 9223, 0, 2699, 5765, 5766, 9221, 5767, 9219, 9220, 0, 5768, 9216, 9217, 0, 9218, 0, 0, 0, 2700, 
-    5760, 5761, 9215, 5762, 9213, 9214, 0, 5763, 9210, 9211, 0, 9212, 0, 0, 0, 5764, 9206, 9207, 0, 9208, 0, 0, 0, 9209, 0, 0, 0, 0, 0, 0, 0, 216, 
-    904, 905, 2694, 906, 2692, 2693, 5759, 907, 2689, 2690, 5758, 2691, 5756, 5757, 9205, 908, 2685, 2686, 5755, 2687, 5753, 5754, 9204, 2688, 5750, 5751, 9203, 5752, 9201, 9202, 0, 909, 
-    2680, 2681, 5749, 2682, 5747, 5748, 9200, 2683, 5744, 5745, 9199, 5746, 9197, 9198, 0, 2684, 5740, 5741, 9196, 5742, 9194, 9195, 0, 5743, 9191, 9192, 0, 9193, 0, 0, 0, 910, 
-    2674, 2675, 5739, 2676, 5737, 5738, 9190, 2677, 5734, 5735, 9189, 5736, 9187, 9188, 0, 2678, 5730, 5731, 9186, 5732, 9184, 9185, 0, 5733, 9181, 9182, 0, 9183, 0, 0, 0, 2679, 
-    5725, 5726, 9180, 5727, 9178, 9179, 0, 5728, 9175, 9176, 0, 9177, 0, 0, 0, 5729, 9171, 9172, 0, 9173, 0, 0, 0, 9174, 0, 0, 0, 0, 0, 0, 0, 911, 
-    2667, 2668, 5724, 2669, 5722, 5723, 9170, 2670, 5719, 5720, 9169, 5721, 9167, 9168, 0, 2671, 5715, 5716, 9166, 5717, 9164, 9165, 0, 5718, 9161, 9162, 0, 9163, 0, 0, 0, 2672, 
-    5710, 5711, 9160, 5712, 9158, 9159, 0, 5713, 9155, 9156, 0, 9157, 0, 0, 0, 5714, 9151, 9152, 0, 9153, 0, 0, 0, 9154, 0, 0, 0, 0, 0, 0, 0, 2673, 
-    5704, 5705, 9150, 5706, 9148, 9149, 0, 5707, 9145, 9146, 0, 9147, 0, 0, 0, 5708, 9141, 9142, 0, 9143, 0, 0, 0, 9144, 0, 0, 0, 0, 0, 0, 0, 5709, 
-    9136, 9137, 0, 9138, 0, 0, 0, 9139, 0, 0, 0, 0, 0, 0, 0, 9140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 217, 
-    895, 896, 2666, 897, 2664, 2665, 5703, 898, 2661, 2662, 5702, 2663, 5700, 5701, 9135, 899, 2657, 2658, 5699, 2659, 5697, 5698, 9134, 2660, 5694, 5695, 9133, 5696, 9131, 9132, 0, 900, 
-    2652, 2653, 5693, 2654, 5691, 5692, 9130, 2655, 5688, 5689, 9129, 5690, 9127, 9128, 0, 2656, 5684, 5685, 9126, 5686, 9124, 9125, 0, 5687, 9121, 9122, 0, 9123, 0, 0, 0, 901, 
-    2646, 2647, 5683, 2648, 5681, 5682, 9120, 2649, 5678, 5679, 9119, 5680, 9117, 9118, 0, 2650, 5674, 5675, 9116, 5676, 9114, 9115, 0, 5677, 9111, 9112, 0, 9113, 0, 0, 0, 2651, 
-    5669, 5670, 9110, 5671, 9108, 9109, 0, 5672, 9105, 9106, 0, 9107, 0, 0, 0, 5673, 9101, 9102, 0, 9103, 0, 0, 0, 9104, 0, 0, 0, 0, 0, 0, 0, 902, 
-    2639, 2640, 5668, 2641, 5666, 5667, 9100, 2642, 5663, 5664, 9099, 5665, 9097, 9098, 0, 2643, 5659, 5660, 9096, 5661, 9094, 9095, 0, 5662, 9091, 9092, 0, 9093, 0, 0, 0, 2644, 
-    5654, 5655, 9090, 5656, 9088, 9089, 0, 5657, 9085, 9086, 0, 9087, 0, 0, 0, 5658, 9081, 9082, 0, 9083, 0, 0, 0, 9084, 0, 0, 0, 0, 0, 0, 0, 2645, 
-    5648, 5649, 9080, 5650, 9078, 9079, 0, 5651, 9075, 9076, 0, 9077, 0, 0, 0, 5652, 9071, 9072, 0, 9073, 0, 0, 0, 9074, 0, 0, 0, 0, 0, 0, 0, 5653, 
-    9066, 9067, 0, 9068, 0, 0, 0, 9069, 0, 0, 0, 0, 0, 0, 0, 9070, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 903, 
-    2631, 2632, 5647, 2633, 5645, 5646, 9065, 2634, 5642, 5643, 9064, 5644, 9062, 9063, 0, 2635, 5638, 5639, 9061, 5640, 9059, 9060, 0, 5641, 9056, 9057, 0, 9058, 0, 0, 0, 2636, 
-    5633, 5634, 9055, 5635, 9053, 9054, 0, 5636, 9050, 9051, 0, 9052, 0, 0, 0, 5637, 9046, 9047, 0, 9048, 0, 0, 0, 9049, 0, 0, 0, 0, 0, 0, 0, 2637, 
-    5627, 5628, 9045, 5629, 9043, 9044, 0, 5630, 9040, 9041, 0, 9042, 0, 0, 0, 5631, 9036, 9037, 0, 9038, 0, 0, 0, 9039, 0, 0, 0, 0, 0, 0, 0, 5632, 
-    9031, 9032, 0, 9033, 0, 0, 0, 9034, 0, 0, 0, 0, 0, 0, 0, 9035, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2638, 
-    5620, 5621, 9030, 5622, 9028, 9029, 0, 5623, 9025, 9026, 0, 9027, 0, 0, 0, 5624, 9021, 9022, 0, 9023, 0, 0, 0, 9024, 0, 0, 0, 0, 0, 0, 0, 5625, 
-    9016, 9017, 0, 9018, 0, 0, 0, 9019, 0, 0, 0, 0, 0, 0, 0, 9020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5626, 
-    9010, 9011, 0, 9012, 0, 0, 0, 9013, 0, 0, 0, 0, 0, 0, 0, 9014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9015, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 218, 
-    885, 886, 2630, 887, 2628, 2629, 5619, 888, 2625, 2626, 5618, 2627, 5616, 5617, 9009, 889, 2621, 2622, 5615, 2623, 5613, 5614, 9008, 2624, 5610, 5611, 9007, 5612, 9005, 9006, 0, 890, 
-    2616, 2617, 5609, 2618, 5607, 5608, 9004, 2619, 5604, 5605, 9003, 5606, 9001, 9002, 0, 2620, 5600, 5601, 9000, 5602, 8998, 8999, 0, 5603, 8995, 8996, 0, 8997, 0, 0, 0, 891, 
-    2610, 2611, 5599, 2612, 5597, 5598, 8994, 2613, 5594, 5595, 8993, 5596, 8991, 8992, 0, 2614, 5590, 5591, 8990, 5592, 8988, 8989, 0, 5593, 8985, 8986, 0, 8987, 0, 0, 0, 2615, 
-    5585, 5586, 8984, 5587, 8982, 8983, 0, 5588, 8979, 8980, 0, 8981, 0, 0, 0, 5589, 8975, 8976, 0, 8977, 0, 0, 0, 8978, 0, 0, 0, 0, 0, 0, 0, 892, 
-    2603, 2604, 5584, 2605, 5582, 5583, 8974, 2606, 5579, 5580, 8973, 5581, 8971, 8972, 0, 2607, 5575, 5576, 8970, 5577, 8968, 8969, 0, 5578, 8965, 8966, 0, 8967, 0, 0, 0, 2608, 
-    5570, 5571, 8964, 5572, 8962, 8963, 0, 5573, 8959, 8960, 0, 8961, 0, 0, 0, 5574, 8955, 8956, 0, 8957, 0, 0, 0, 8958, 0, 0, 0, 0, 0, 0, 0, 2609, 
-    5564, 5565, 8954, 5566, 8952, 8953, 0, 5567, 8949, 8950, 0, 8951, 0, 0, 0, 5568, 8945, 8946, 0, 8947, 0, 0, 0, 8948, 0, 0, 0, 0, 0, 0, 0, 5569, 
-    8940, 8941, 0, 8942, 0, 0, 0, 8943, 0, 0, 0, 0, 0, 0, 0, 8944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 893, 
-    2595, 2596, 5563, 2597, 5561, 5562, 8939, 2598, 5558, 5559, 8938, 5560, 8936, 8937, 0, 2599, 5554, 5555, 8935, 5556, 8933, 8934, 0, 5557, 8930, 8931, 0, 8932, 0, 0, 0, 2600, 
-    5549, 5550, 8929, 5551, 8927, 8928, 0, 5552, 8924, 8925, 0, 8926, 0, 0, 0, 5553, 8920, 8921, 0, 8922, 0, 0, 0, 8923, 0, 0, 0, 0, 0, 0, 0, 2601, 
-    5543, 5544, 8919, 5545, 8917, 8918, 0, 5546, 8914, 8915, 0, 8916, 0, 0, 0, 5547, 8910, 8911, 0, 8912, 0, 0, 0, 8913, 0, 0, 0, 0, 0, 0, 0, 5548, 
-    8905, 8906, 0, 8907, 0, 0, 0, 8908, 0, 0, 0, 0, 0, 0, 0, 8909, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2602, 
-    5536, 5537, 8904, 5538, 8902, 8903, 0, 5539, 8899, 8900, 0, 8901, 0, 0, 0, 5540, 8895, 8896, 0, 8897, 0, 0, 0, 8898, 0, 0, 0, 0, 0, 0, 0, 5541, 
-    8890, 8891, 0, 8892, 0, 0, 0, 8893, 0, 0, 0, 0, 0, 0, 0, 8894, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5542, 
-    8884, 8885, 0, 8886, 0, 0, 0, 8887, 0, 0, 0, 0, 0, 0, 0, 8888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8889, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 894, 
-    2586, 2587, 5535, 2588, 5533, 5534, 8883, 2589, 5530, 5531, 8882, 5532, 8880, 8881, 0, 2590, 5526, 5527, 8879, 5528, 8877, 8878, 0, 5529, 8874, 8875, 0, 8876, 0, 0, 0, 2591, 
-    5521, 5522, 8873, 5523, 8871, 8872, 0, 5524, 8868, 8869, 0, 8870, 0, 0, 0, 5525, 8864, 8865, 0, 8866, 0, 0, 0, 8867, 0, 0, 0, 0, 0, 0, 0, 2592, 
-    5515, 5516, 8863, 5517, 8861, 8862, 0, 5518, 8858, 8859, 0, 8860, 0, 0, 0, 5519, 8854, 8855, 0, 8856, 0, 0, 0, 8857, 0, 0, 0, 0, 0, 0, 0, 5520, 
-    8849, 8850, 0, 8851, 0, 0, 0, 8852, 0, 0, 0, 0, 0, 0, 0, 8853, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2593, 
-    5508, 5509, 8848, 5510, 8846, 8847, 0, 5511, 8843, 8844, 0, 8845, 0, 0, 0, 5512, 8839, 8840, 0, 8841, 0, 0, 0, 8842, 0, 0, 0, 0, 0, 0, 0, 5513, 
-    8834, 8835, 0, 8836, 0, 0, 0, 8837, 0, 0, 0, 0, 0, 0, 0, 8838, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5514, 
-    8828, 8829, 0, 8830, 0, 0, 0, 8831, 0, 0, 0, 0, 0, 0, 0, 8832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8833, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2594, 
-    5500, 5501, 8827, 5502, 8825, 8826, 0, 5503, 8822, 8823, 0, 8824, 0, 0, 0, 5504, 8818, 8819, 0, 8820, 0, 0, 0, 8821, 0, 0, 0, 0, 0, 0, 0, 5505, 
-    8813, 8814, 0, 8815, 0, 0, 0, 8816, 0, 0, 0, 0, 0, 0, 0, 8817, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5506, 
-    8807, 8808, 0, 8809, 0, 0, 0, 8810, 0, 0, 0, 0, 0, 0, 0, 8811, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8812, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5507, 
-    8800, 8801, 0, 8802, 0, 0, 0, 8803, 0, 0, 0, 0, 0, 0, 0, 8804, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8805, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8806, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 
-    196, 197, 884, 198, 882, 883, 2585, 199, 879, 880, 2584, 881, 2582, 2583, 5499, 200, 875, 876, 2581, 877, 2579, 2580, 5498, 878, 2576, 2577, 5497, 2578, 5495, 5496, 8799, 201, 
-    870, 871, 2575, 872, 2573, 2574, 5494, 873, 2570, 2571, 5493, 2572, 5491, 5492, 8798, 874, 2566, 2567, 5490, 2568, 5488, 5489, 8797, 2569, 5485, 5486, 8796, 5487, 8794, 8795, 0, 202, 
-    864, 865, 2565, 866, 2563, 2564, 5484, 867, 2560, 2561, 5483, 2562, 5481, 5482, 8793, 868, 2556, 2557, 5480, 2558, 5478, 5479, 8792, 2559, 5475, 5476, 8791, 5477, 8789, 8790, 0, 869, 
-    2551, 2552, 5474, 2553, 5472, 5473, 8788, 2554, 5469, 5470, 8787, 5471, 8785, 8786, 0, 2555, 5465, 5466, 8784, 5467, 8782, 8783, 0, 5468, 8779, 8780, 0, 8781, 0, 0, 0, 203, 
-    857, 858, 2550, 859, 2548, 2549, 5464, 860, 2545, 2546, 5463, 2547, 5461, 5462, 8778, 861, 2541, 2542, 5460, 2543, 5458, 5459, 8777, 2544, 5455, 5456, 8776, 5457, 8774, 8775, 0, 862, 
-    2536, 2537, 5454, 2538, 5452, 5453, 8773, 2539, 5449, 5450, 8772, 5451, 8770, 8771, 0, 2540, 5445, 5446, 8769, 5447, 8767, 8768, 0, 5448, 8764, 8765, 0, 8766, 0, 0, 0, 863, 
-    2530, 2531, 5444, 2532, 5442, 5443, 8763, 2533, 5439, 5440, 8762, 5441, 8760, 8761, 0, 2534, 5435, 5436, 8759, 5437, 8757, 8758, 0, 5438, 8754, 8755, 0, 8756, 0, 0, 0, 2535, 
-    5430, 5431, 8753, 5432, 8751, 8752, 0, 5433, 8748, 8749, 0, 8750, 0, 0, 0, 5434, 8744, 8745, 0, 8746, 0, 0, 0, 8747, 0, 0, 0, 0, 0, 0, 0, 204, 
-    849, 850, 2529, 851, 2527, 2528, 5429, 852, 2524, 2525, 5428, 2526, 5426, 5427, 8743, 853, 2520, 2521, 5425, 2522, 5423, 5424, 8742, 2523, 5420, 5421, 8741, 5422, 8739, 8740, 0, 854, 
-    2515, 2516, 5419, 2517, 5417, 5418, 8738, 2518, 5414, 5415, 8737, 5416, 8735, 8736, 0, 2519, 5410, 5411, 8734, 5412, 8732, 8733, 0, 5413, 8729, 8730, 0, 8731, 0, 0, 0, 855, 
-    2509, 2510, 5409, 2511, 5407, 5408, 8728, 2512, 5404, 5405, 8727, 5406, 8725, 8726, 0, 2513, 5400, 5401, 8724, 5402, 8722, 8723, 0, 5403, 8719, 8720, 0, 8721, 0, 0, 0, 2514, 
-    5395, 5396, 8718, 5397, 8716, 8717, 0, 5398, 8713, 8714, 0, 8715, 0, 0, 0, 5399, 8709, 8710, 0, 8711, 0, 0, 0, 8712, 0, 0, 0, 0, 0, 0, 0, 856, 
-    2502, 2503, 5394, 2504, 5392, 5393, 8708, 2505, 5389, 5390, 8707, 5391, 8705, 8706, 0, 2506, 5385, 5386, 8704, 5387, 8702, 8703, 0, 5388, 8699, 8700, 0, 8701, 0, 0, 0, 2507, 
-    5380, 5381, 8698, 5382, 8696, 8697, 0, 5383, 8693, 8694, 0, 8695, 0, 0, 0, 5384, 8689, 8690, 0, 8691, 0, 0, 0, 8692, 0, 0, 0, 0, 0, 0, 0, 2508, 
-    5374, 5375, 8688, 5376, 8686, 8687, 0, 5377, 8683, 8684, 0, 8685, 0, 0, 0, 5378, 8679, 8680, 0, 8681, 0, 0, 0, 8682, 0, 0, 0, 0, 0, 0, 0, 5379, 
-    8674, 8675, 0, 8676, 0, 0, 0, 8677, 0, 0, 0, 0, 0, 0, 0, 8678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 205, 
-    840, 841, 2501, 842, 2499, 2500, 5373, 843, 2496, 2497, 5372, 2498, 5370, 5371, 8673, 844, 2492, 2493, 5369, 2494, 5367, 5368, 8672, 2495, 5364, 5365, 8671, 5366, 8669, 8670, 0, 845, 
-    2487, 2488, 5363, 2489, 5361, 5362, 8668, 2490, 5358, 5359, 8667, 5360, 8665, 8666, 0, 2491, 5354, 5355, 8664, 5356, 8662, 8663, 0, 5357, 8659, 8660, 0, 8661, 0, 0, 0, 846, 
-    2481, 2482, 5353, 2483, 5351, 5352, 8658, 2484, 5348, 5349, 8657, 5350, 8655, 8656, 0, 2485, 5344, 5345, 8654, 5346, 8652, 8653, 0, 5347, 8649, 8650, 0, 8651, 0, 0, 0, 2486, 
-    5339, 5340, 8648, 5341, 8646, 8647, 0, 5342, 8643, 8644, 0, 8645, 0, 0, 0, 5343, 8639, 8640, 0, 8641, 0, 0, 0, 8642, 0, 0, 0, 0, 0, 0, 0, 847, 
-    2474, 2475, 5338, 2476, 5336, 5337, 8638, 2477, 5333, 5334, 8637, 5335, 8635, 8636, 0, 2478, 5329, 5330, 8634, 5331, 8632, 8633, 0, 5332, 8629, 8630, 0, 8631, 0, 0, 0, 2479, 
-    5324, 5325, 8628, 5326, 8626, 8627, 0, 5327, 8623, 8624, 0, 8625, 0, 0, 0, 5328, 8619, 8620, 0, 8621, 0, 0, 0, 8622, 0, 0, 0, 0, 0, 0, 0, 2480, 
-    5318, 5319, 8618, 5320, 8616, 8617, 0, 5321, 8613, 8614, 0, 8615, 0, 0, 0, 5322, 8609, 8610, 0, 8611, 0, 0, 0, 8612, 0, 0, 0, 0, 0, 0, 0, 5323, 
-    8604, 8605, 0, 8606, 0, 0, 0, 8607, 0, 0, 0, 0, 0, 0, 0, 8608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 848, 
-    2466, 2467, 5317, 2468, 5315, 5316, 8603, 2469, 5312, 5313, 8602, 5314, 8600, 8601, 0, 2470, 5308, 5309, 8599, 5310, 8597, 8598, 0, 5311, 8594, 8595, 0, 8596, 0, 0, 0, 2471, 
-    5303, 5304, 8593, 5305, 8591, 8592, 0, 5306, 8588, 8589, 0, 8590, 0, 0, 0, 5307, 8584, 8585, 0, 8586, 0, 0, 0, 8587, 0, 0, 0, 0, 0, 0, 0, 2472, 
-    5297, 5298, 8583, 5299, 8581, 8582, 0, 5300, 8578, 8579, 0, 8580, 0, 0, 0, 5301, 8574, 8575, 0, 8576, 0, 0, 0, 8577, 0, 0, 0, 0, 0, 0, 0, 5302, 
-    8569, 8570, 0, 8571, 0, 0, 0, 8572, 0, 0, 0, 0, 0, 0, 0, 8573, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2473, 
-    5290, 5291, 8568, 5292, 8566, 8567, 0, 5293, 8563, 8564, 0, 8565, 0, 0, 0, 5294, 8559, 8560, 0, 8561, 0, 0, 0, 8562, 0, 0, 0, 0, 0, 0, 0, 5295, 
-    8554, 8555, 0, 8556, 0, 0, 0, 8557, 0, 0, 0, 0, 0, 0, 0, 8558, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5296, 
-    8548, 8549, 0, 8550, 0, 0, 0, 8551, 0, 0, 0, 0, 0, 0, 0, 8552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8553, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 206, 
-    830, 831, 2465, 832, 2463, 2464, 5289, 833, 2460, 2461, 5288, 2462, 5286, 5287, 8547, 834, 2456, 2457, 5285, 2458, 5283, 5284, 8546, 2459, 5280, 5281, 8545, 5282, 8543, 8544, 0, 835, 
-    2451, 2452, 5279, 2453, 5277, 5278, 8542, 2454, 5274, 5275, 8541, 5276, 8539, 8540, 0, 2455, 5270, 5271, 8538, 5272, 8536, 8537, 0, 5273, 8533, 8534, 0, 8535, 0, 0, 0, 836, 
-    2445, 2446, 5269, 2447, 5267, 5268, 8532, 2448, 5264, 5265, 8531, 5266, 8529, 8530, 0, 2449, 5260, 5261, 8528, 5262, 8526, 8527, 0, 5263, 8523, 8524, 0, 8525, 0, 0, 0, 2450, 
-    5255, 5256, 8522, 5257, 8520, 8521, 0, 5258, 8517, 8518, 0, 8519, 0, 0, 0, 5259, 8513, 8514, 0, 8515, 0, 0, 0, 8516, 0, 0, 0, 0, 0, 0, 0, 837, 
-    2438, 2439, 5254, 2440, 5252, 5253, 8512, 2441, 5249, 5250, 8511, 5251, 8509, 8510, 0, 2442, 5245, 5246, 8508, 5247, 8506, 8507, 0, 5248, 8503, 8504, 0, 8505, 0, 0, 0, 2443, 
-    5240, 5241, 8502, 5242, 8500, 8501, 0, 5243, 8497, 8498, 0, 8499, 0, 0, 0, 5244, 8493, 8494, 0, 8495, 0, 0, 0, 8496, 0, 0, 0, 0, 0, 0, 0, 2444, 
-    5234, 5235, 8492, 5236, 8490, 8491, 0, 5237, 8487, 8488, 0, 8489, 0, 0, 0, 5238, 8483, 8484, 0, 8485, 0, 0, 0, 8486, 0, 0, 0, 0, 0, 0, 0, 5239, 
-    8478, 8479, 0, 8480, 0, 0, 0, 8481, 0, 0, 0, 0, 0, 0, 0, 8482, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 838, 
-    2430, 2431, 5233, 2432, 5231, 5232, 8477, 2433, 5228, 5229, 8476, 5230, 8474, 8475, 0, 2434, 5224, 5225, 8473, 5226, 8471, 8472, 0, 5227, 8468, 8469, 0, 8470, 0, 0, 0, 2435, 
-    5219, 5220, 8467, 5221, 8465, 8466, 0, 5222, 8462, 8463, 0, 8464, 0, 0, 0, 5223, 8458, 8459, 0, 8460, 0, 0, 0, 8461, 0, 0, 0, 0, 0, 0, 0, 2436, 
-    5213, 5214, 8457, 5215, 8455, 8456, 0, 5216, 8452, 8453, 0, 8454, 0, 0, 0, 5217, 8448, 8449, 0, 8450, 0, 0, 0, 8451, 0, 0, 0, 0, 0, 0, 0, 5218, 
-    8443, 8444, 0, 8445, 0, 0, 0, 8446, 0, 0, 0, 0, 0, 0, 0, 8447, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2437, 
-    5206, 5207, 8442, 5208, 8440, 8441, 0, 5209, 8437, 8438, 0, 8439, 0, 0, 0, 5210, 8433, 8434, 0, 8435, 0, 0, 0, 8436, 0, 0, 0, 0, 0, 0, 0, 5211, 
-    8428, 8429, 0, 8430, 0, 0, 0, 8431, 0, 0, 0, 0, 0, 0, 0, 8432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5212, 
-    8422, 8423, 0, 8424, 0, 0, 0, 8425, 0, 0, 0, 0, 0, 0, 0, 8426, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8427, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 839, 
-    2421, 2422, 5205, 2423, 5203, 5204, 8421, 2424, 5200, 5201, 8420, 5202, 8418, 8419, 0, 2425, 5196, 5197, 8417, 5198, 8415, 8416, 0, 5199, 8412, 8413, 0, 8414, 0, 0, 0, 2426, 
-    5191, 5192, 8411, 5193, 8409, 8410, 0, 5194, 8406, 8407, 0, 8408, 0, 0, 0, 5195, 8402, 8403, 0, 8404, 0, 0, 0, 8405, 0, 0, 0, 0, 0, 0, 0, 2427, 
-    5185, 5186, 8401, 5187, 8399, 8400, 0, 5188, 8396, 8397, 0, 8398, 0, 0, 0, 5189, 8392, 8393, 0, 8394, 0, 0, 0, 8395, 0, 0, 0, 0, 0, 0, 0, 5190, 
-    8387, 8388, 0, 8389, 0, 0, 0, 8390, 0, 0, 0, 0, 0, 0, 0, 8391, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2428, 
-    5178, 5179, 8386, 5180, 8384, 8385, 0, 5181, 8381, 8382, 0, 8383, 0, 0, 0, 5182, 8377, 8378, 0, 8379, 0, 0, 0, 8380, 0, 0, 0, 0, 0, 0, 0, 5183, 
-    8372, 8373, 0, 8374, 0, 0, 0, 8375, 0, 0, 0, 0, 0, 0, 0, 8376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5184, 
-    8366, 8367, 0, 8368, 0, 0, 0, 8369, 0, 0, 0, 0, 0, 0, 0, 8370, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8371, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2429, 
-    5170, 5171, 8365, 5172, 8363, 8364, 0, 5173, 8360, 8361, 0, 8362, 0, 0, 0, 5174, 8356, 8357, 0, 8358, 0, 0, 0, 8359, 0, 0, 0, 0, 0, 0, 0, 5175, 
-    8351, 8352, 0, 8353, 0, 0, 0, 8354, 0, 0, 0, 0, 0, 0, 0, 8355, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5176, 
-    8345, 8346, 0, 8347, 0, 0, 0, 8348, 0, 0, 0, 0, 0, 0, 0, 8349, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8350, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5177, 
-    8338, 8339, 0, 8340, 0, 0, 0, 8341, 0, 0, 0, 0, 0, 0, 0, 8342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8343, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8344, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 207, 
-    819, 820, 2420, 821, 2418, 2419, 5169, 822, 2415, 2416, 5168, 2417, 5166, 5167, 8337, 823, 2411, 2412, 5165, 2413, 5163, 5164, 8336, 2414, 5160, 5161, 8335, 5162, 8333, 8334, 0, 824, 
-    2406, 2407, 5159, 2408, 5157, 5158, 8332, 2409, 5154, 5155, 8331, 5156, 8329, 8330, 0, 2410, 5150, 5151, 8328, 5152, 8326, 8327, 0, 5153, 8323, 8324, 0, 8325, 0, 0, 0, 825, 
-    2400, 2401, 5149, 2402, 5147, 5148, 8322, 2403, 5144, 5145, 8321, 5146, 8319, 8320, 0, 2404, 5140, 5141, 8318, 5142, 8316, 8317, 0, 5143, 8313, 8314, 0, 8315, 0, 0, 0, 2405, 
-    5135, 5136, 8312, 5137, 8310, 8311, 0, 5138, 8307, 8308, 0, 8309, 0, 0, 0, 5139, 8303, 8304, 0, 8305, 0, 0, 0, 8306, 0, 0, 0, 0, 0, 0, 0, 826, 
-    2393, 2394, 5134, 2395, 5132, 5133, 8302, 2396, 5129, 5130, 8301, 5131, 8299, 8300, 0, 2397, 5125, 5126, 8298, 5127, 8296, 8297, 0, 5128, 8293, 8294, 0, 8295, 0, 0, 0, 2398, 
-    5120, 5121, 8292, 5122, 8290, 8291, 0, 5123, 8287, 8288, 0, 8289, 0, 0, 0, 5124, 8283, 8284, 0, 8285, 0, 0, 0, 8286, 0, 0, 0, 0, 0, 0, 0, 2399, 
-    5114, 5115, 8282, 5116, 8280, 8281, 0, 5117, 8277, 8278, 0, 8279, 0, 0, 0, 5118, 8273, 8274, 0, 8275, 0, 0, 0, 8276, 0, 0, 0, 0, 0, 0, 0, 5119, 
-    8268, 8269, 0, 8270, 0, 0, 0, 8271, 0, 0, 0, 0, 0, 0, 0, 8272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 827, 
-    2385, 2386, 5113, 2387, 5111, 5112, 8267, 2388, 5108, 5109, 8266, 5110, 8264, 8265, 0, 2389, 5104, 5105, 8263, 5106, 8261, 8262, 0, 5107, 8258, 8259, 0, 8260, 0, 0, 0, 2390, 
-    5099, 5100, 8257, 5101, 8255, 8256, 0, 5102, 8252, 8253, 0, 8254, 0, 0, 0, 5103, 8248, 8249, 0, 8250, 0, 0, 0, 8251, 0, 0, 0, 0, 0, 0, 0, 2391, 
-    5093, 5094, 8247, 5095, 8245, 8246, 0, 5096, 8242, 8243, 0, 8244, 0, 0, 0, 5097, 8238, 8239, 0, 8240, 0, 0, 0, 8241, 0, 0, 0, 0, 0, 0, 0, 5098, 
-    8233, 8234, 0, 8235, 0, 0, 0, 8236, 0, 0, 0, 0, 0, 0, 0, 8237, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2392, 
-    5086, 5087, 8232, 5088, 8230, 8231, 0, 5089, 8227, 8228, 0, 8229, 0, 0, 0, 5090, 8223, 8224, 0, 8225, 0, 0, 0, 8226, 0, 0, 0, 0, 0, 0, 0, 5091, 
-    8218, 8219, 0, 8220, 0, 0, 0, 8221, 0, 0, 0, 0, 0, 0, 0, 8222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5092, 
-    8212, 8213, 0, 8214, 0, 0, 0, 8215, 0, 0, 0, 0, 0, 0, 0, 8216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8217, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 828, 
-    2376, 2377, 5085, 2378, 5083, 5084, 8211, 2379, 5080, 5081, 8210, 5082, 8208, 8209, 0, 2380, 5076, 5077, 8207, 5078, 8205, 8206, 0, 5079, 8202, 8203, 0, 8204, 0, 0, 0, 2381, 
-    5071, 5072, 8201, 5073, 8199, 8200, 0, 5074, 8196, 8197, 0, 8198, 0, 0, 0, 5075, 8192, 8193, 0, 8194, 0, 0, 0, 8195, 0, 0, 0, 0, 0, 0, 0, 2382, 
-    5065, 5066, 8191, 5067, 8189, 8190, 0, 5068, 8186, 8187, 0, 8188, 0, 0, 0, 5069, 8182, 8183, 0, 8184, 0, 0, 0, 8185, 0, 0, 0, 0, 0, 0, 0, 5070, 
-    8177, 8178, 0, 8179, 0, 0, 0, 8180, 0, 0, 0, 0, 0, 0, 0, 8181, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2383, 
-    5058, 5059, 8176, 5060, 8174, 8175, 0, 5061, 8171, 8172, 0, 8173, 0, 0, 0, 5062, 8167, 8168, 0, 8169, 0, 0, 0, 8170, 0, 0, 0, 0, 0, 0, 0, 5063, 
-    8162, 8163, 0, 8164, 0, 0, 0, 8165, 0, 0, 0, 0, 0, 0, 0, 8166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5064, 
-    8156, 8157, 0, 8158, 0, 0, 0, 8159, 0, 0, 0, 0, 0, 0, 0, 8160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8161, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2384, 
-    5050, 5051, 8155, 5052, 8153, 8154, 0, 5053, 8150, 8151, 0, 8152, 0, 0, 0, 5054, 8146, 8147, 0, 8148, 0, 0, 0, 8149, 0, 0, 0, 0, 0, 0, 0, 5055, 
-    8141, 8142, 0, 8143, 0, 0, 0, 8144, 0, 0, 0, 0, 0, 0, 0, 8145, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5056, 
-    8135, 8136, 0, 8137, 0, 0, 0, 8138, 0, 0, 0, 0, 0, 0, 0, 8139, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8140, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5057, 
-    8128, 8129, 0, 8130, 0, 0, 0, 8131, 0, 0, 0, 0, 0, 0, 0, 8132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8133, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8134, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 829, 
-    2366, 2367, 5049, 2368, 5047, 5048, 8127, 2369, 5044, 5045, 8126, 5046, 8124, 8125, 0, 2370, 5040, 5041, 8123, 5042, 8121, 8122, 0, 5043, 8118, 8119, 0, 8120, 0, 0, 0, 2371, 
-    5035, 5036, 8117, 5037, 8115, 8116, 0, 5038, 8112, 8113, 0, 8114, 0, 0, 0, 5039, 8108, 8109, 0, 8110, 0, 0, 0, 8111, 0, 0, 0, 0, 0, 0, 0, 2372, 
-    5029, 5030, 8107, 5031, 8105, 8106, 0, 5032, 8102, 8103, 0, 8104, 0, 0, 0, 5033, 8098, 8099, 0, 8100, 0, 0, 0, 8101, 0, 0, 0, 0, 0, 0, 0, 5034, 
-    8093, 8094, 0, 8095, 0, 0, 0, 8096, 0, 0, 0, 0, 0, 0, 0, 8097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2373, 
-    5022, 5023, 8092, 5024, 8090, 8091, 0, 5025, 8087, 8088, 0, 8089, 0, 0, 0, 5026, 8083, 8084, 0, 8085, 0, 0, 0, 8086, 0, 0, 0, 0, 0, 0, 0, 5027, 
-    8078, 8079, 0, 8080, 0, 0, 0, 8081, 0, 0, 0, 0, 0, 0, 0, 8082, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5028, 
-    8072, 8073, 0, 8074, 0, 0, 0, 8075, 0, 0, 0, 0, 0, 0, 0, 8076, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8077, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2374, 
-    5014, 5015, 8071, 5016, 8069, 8070, 0, 5017, 8066, 8067, 0, 8068, 0, 0, 0, 5018, 8062, 8063, 0, 8064, 0, 0, 0, 8065, 0, 0, 0, 0, 0, 0, 0, 5019, 
-    8057, 8058, 0, 8059, 0, 0, 0, 8060, 0, 0, 0, 0, 0, 0, 0, 8061, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5020, 
-    8051, 8052, 0, 8053, 0, 0, 0, 8054, 0, 0, 0, 0, 0, 0, 0, 8055, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8056, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5021, 
-    8044, 8045, 0, 8046, 0, 0, 0, 8047, 0, 0, 0, 0, 0, 0, 0, 8048, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8049, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8050, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2375, 
-    5005, 5006, 8043, 5007, 8041, 8042, 0, 5008, 8038, 8039, 0, 8040, 0, 0, 0, 5009, 8034, 8035, 0, 8036, 0, 0, 0, 8037, 0, 0, 0, 0, 0, 0, 0, 5010, 
-    8029, 8030, 0, 8031, 0, 0, 0, 8032, 0, 0, 0, 0, 0, 0, 0, 8033, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5011, 
-    8023, 8024, 0, 8025, 0, 0, 0, 8026, 0, 0, 0, 0, 0, 0, 0, 8027, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8028, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5012, 
-    8016, 8017, 0, 8018, 0, 0, 0, 8019, 0, 0, 0, 0, 0, 0, 0, 8020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8021, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8022, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5013, 
-    8008, 8009, 0, 8010, 0, 0, 0, 8011, 0, 0, 0, 0, 0, 0, 0, 8012, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8013, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8014, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8015, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 
-    15, 16, 195, 17, 193, 194, 818, 18, 190, 191, 817, 192, 815, 816, 2365, 19, 186, 187, 814, 188, 812, 813, 2364, 189, 809, 810, 2363, 811, 2361, 2362, 5004, 20, 
-    181, 182, 808, 183, 806, 807, 2360, 184, 803, 804, 2359, 805, 2357, 2358, 5003, 185, 799, 800, 2356, 801, 2354, 2355, 5002, 802, 2351, 2352, 5001, 2353, 4999, 5000, 8007, 21, 
-    175, 176, 798, 177, 796, 797, 2350, 178, 793, 794, 2349, 795, 2347, 2348, 4998, 179, 789, 790, 2346, 791, 2344, 2345, 4997, 792, 2341, 2342, 4996, 2343, 4994, 4995, 8006, 180, 
-    784, 785, 2340, 786, 2338, 2339, 4993, 787, 2335, 2336, 4992, 2337, 4990, 4991, 8005, 788, 2331, 2332, 4989, 2333, 4987, 4988, 8004, 2334, 4984, 4985, 8003, 4986, 8001, 8002, 0, 22, 
-    168, 169, 783, 170, 781, 782, 2330, 171, 778, 779, 2329, 780, 2327, 2328, 4983, 172, 774, 775, 2326, 776, 2324, 2325, 4982, 777, 2321, 2322, 4981, 2323, 4979, 4980, 8000, 173, 
-    769, 770, 2320, 771, 2318, 2319, 4978, 772, 2315, 2316, 4977, 2317, 4975, 4976, 7999, 773, 2311, 2312, 4974, 2313, 4972, 4973, 7998, 2314, 4969, 4970, 7997, 4971, 7995, 7996, 0, 174, 
-    763, 764, 2310, 765, 2308, 2309, 4968, 766, 2305, 2306, 4967, 2307, 4965, 4966, 7994, 767, 2301, 2302, 4964, 2303, 4962, 4963, 7993, 2304, 4959, 4960, 7992, 4961, 7990, 7991, 0, 768, 
-    2296, 2297, 4958, 2298, 4956, 4957, 7989, 2299, 4953, 4954, 7988, 4955, 7986, 7987, 0, 2300, 4949, 4950, 7985, 4951, 7983, 7984, 0, 4952, 7980, 7981, 0, 7982, 0, 0, 0, 23, 
-    160, 161, 762, 162, 760, 761, 2295, 163, 757, 758, 2294, 759, 2292, 2293, 4948, 164, 753, 754, 2291, 755, 2289, 2290, 4947, 756, 2286, 2287, 4946, 2288, 4944, 4945, 7979, 165, 
-    748, 749, 2285, 750, 2283, 2284, 4943, 751, 2280, 2281, 4942, 2282, 4940, 4941, 7978, 752, 2276, 2277, 4939, 2278, 4937, 4938, 7977, 2279, 4934, 4935, 7976, 4936, 7974, 7975, 0, 166, 
-    742, 743, 2275, 744, 2273, 2274, 4933, 745, 2270, 2271, 4932, 2272, 4930, 4931, 7973, 746, 2266, 2267, 4929, 2268, 4927, 4928, 7972, 2269, 4924, 4925, 7971, 4926, 7969, 7970, 0, 747, 
-    2261, 2262, 4923, 2263, 4921, 4922, 7968, 2264, 4918, 4919, 7967, 4920, 7965, 7966, 0, 2265, 4914, 4915, 7964, 4916, 7962, 7963, 0, 4917, 7959, 7960, 0, 7961, 0, 0, 0, 167, 
-    735, 736, 2260, 737, 2258, 2259, 4913, 738, 2255, 2256, 4912, 2257, 4910, 4911, 7958, 739, 2251, 2252, 4909, 2253, 4907, 4908, 7957, 2254, 4904, 4905, 7956, 4906, 7954, 7955, 0, 740, 
-    2246, 2247, 4903, 2248, 4901, 4902, 7953, 2249, 4898, 4899, 7952, 4900, 7950, 7951, 0, 2250, 4894, 4895, 7949, 4896, 7947, 7948, 0, 4897, 7944, 7945, 0, 7946, 0, 0, 0, 741, 
-    2240, 2241, 4893, 2242, 4891, 4892, 7943, 2243, 4888, 4889, 7942, 4890, 7940, 7941, 0, 2244, 4884, 4885, 7939, 4886, 7937, 7938, 0, 4887, 7934, 7935, 0, 7936, 0, 0, 0, 2245, 
-    4879, 4880, 7933, 4881, 7931, 7932, 0, 4882, 7928, 7929, 0, 7930, 0, 0, 0, 4883, 7924, 7925, 0, 7926, 0, 0, 0, 7927, 0, 0, 0, 0, 0, 0, 0, 24, 
-    151, 152, 734, 153, 732, 733, 2239, 154, 729, 730, 2238, 731, 2236, 2237, 4878, 155, 725, 726, 2235, 727, 2233, 2234, 4877, 728, 2230, 2231, 4876, 2232, 4874, 4875, 7923, 156, 
-    720, 721, 2229, 722, 2227, 2228, 4873, 723, 2224, 2225, 4872, 2226, 4870, 4871, 7922, 724, 2220, 2221, 4869, 2222, 4867, 4868, 7921, 2223, 4864, 4865, 7920, 4866, 7918, 7919, 0, 157, 
-    714, 715, 2219, 716, 2217, 2218, 4863, 717, 2214, 2215, 4862, 2216, 4860, 4861, 7917, 718, 2210, 2211, 4859, 2212, 4857, 4858, 7916, 2213, 4854, 4855, 7915, 4856, 7913, 7914, 0, 719, 
-    2205, 2206, 4853, 2207, 4851, 4852, 7912, 2208, 4848, 4849, 7911, 4850, 7909, 7910, 0, 2209, 4844, 4845, 7908, 4846, 7906, 7907, 0, 4847, 7903, 7904, 0, 7905, 0, 0, 0, 158, 
-    707, 708, 2204, 709, 2202, 2203, 4843, 710, 2199, 2200, 4842, 2201, 4840, 4841, 7902, 711, 2195, 2196, 4839, 2197, 4837, 4838, 7901, 2198, 4834, 4835, 7900, 4836, 7898, 7899, 0, 712, 
-    2190, 2191, 4833, 2192, 4831, 4832, 7897, 2193, 4828, 4829, 7896, 4830, 7894, 7895, 0, 2194, 4824, 4825, 7893, 4826, 7891, 7892, 0, 4827, 7888, 7889, 0, 7890, 0, 0, 0, 713, 
-    2184, 2185, 4823, 2186, 4821, 4822, 7887, 2187, 4818, 4819, 7886, 4820, 7884, 7885, 0, 2188, 4814, 4815, 7883, 4816, 7881, 7882, 0, 4817, 7878, 7879, 0, 7880, 0, 0, 0, 2189, 
-    4809, 4810, 7877, 4811, 7875, 7876, 0, 4812, 7872, 7873, 0, 7874, 0, 0, 0, 4813, 7868, 7869, 0, 7870, 0, 0, 0, 7871, 0, 0, 0, 0, 0, 0, 0, 159, 
-    699, 700, 2183, 701, 2181, 2182, 4808, 702, 2178, 2179, 4807, 2180, 4805, 4806, 7867, 703, 2174, 2175, 4804, 2176, 4802, 4803, 7866, 2177, 4799, 4800, 7865, 4801, 7863, 7864, 0, 704, 
-    2169, 2170, 4798, 2171, 4796, 4797, 7862, 2172, 4793, 4794, 7861, 4795, 7859, 7860, 0, 2173, 4789, 4790, 7858, 4791, 7856, 7857, 0, 4792, 7853, 7854, 0, 7855, 0, 0, 0, 705, 
-    2163, 2164, 4788, 2165, 4786, 4787, 7852, 2166, 4783, 4784, 7851, 4785, 7849, 7850, 0, 2167, 4779, 4780, 7848, 4781, 7846, 7847, 0, 4782, 7843, 7844, 0, 7845, 0, 0, 0, 2168, 
-    4774, 4775, 7842, 4776, 7840, 7841, 0, 4777, 7837, 7838, 0, 7839, 0, 0, 0, 4778, 7833, 7834, 0, 7835, 0, 0, 0, 7836, 0, 0, 0, 0, 0, 0, 0, 706, 
-    2156, 2157, 4773, 2158, 4771, 4772, 7832, 2159, 4768, 4769, 7831, 4770, 7829, 7830, 0, 2160, 4764, 4765, 7828, 4766, 7826, 7827, 0, 4767, 7823, 7824, 0, 7825, 0, 0, 0, 2161, 
-    4759, 4760, 7822, 4761, 7820, 7821, 0, 4762, 7817, 7818, 0, 7819, 0, 0, 0, 4763, 7813, 7814, 0, 7815, 0, 0, 0, 7816, 0, 0, 0, 0, 0, 0, 0, 2162, 
-    4753, 4754, 7812, 4755, 7810, 7811, 0, 4756, 7807, 7808, 0, 7809, 0, 0, 0, 4757, 7803, 7804, 0, 7805, 0, 0, 0, 7806, 0, 0, 0, 0, 0, 0, 0, 4758, 
-    7798, 7799, 0, 7800, 0, 0, 0, 7801, 0, 0, 0, 0, 0, 0, 0, 7802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 
-    141, 142, 698, 143, 696, 697, 2155, 144, 693, 694, 2154, 695, 2152, 2153, 4752, 145, 689, 690, 2151, 691, 2149, 2150, 4751, 692, 2146, 2147, 4750, 2148, 4748, 4749, 7797, 146, 
-    684, 685, 2145, 686, 2143, 2144, 4747, 687, 2140, 2141, 4746, 2142, 4744, 4745, 7796, 688, 2136, 2137, 4743, 2138, 4741, 4742, 7795, 2139, 4738, 4739, 7794, 4740, 7792, 7793, 0, 147, 
-    678, 679, 2135, 680, 2133, 2134, 4737, 681, 2130, 2131, 4736, 2132, 4734, 4735, 7791, 682, 2126, 2127, 4733, 2128, 4731, 4732, 7790, 2129, 4728, 4729, 7789, 4730, 7787, 7788, 0, 683, 
-    2121, 2122, 4727, 2123, 4725, 4726, 7786, 2124, 4722, 4723, 7785, 4724, 7783, 7784, 0, 2125, 4718, 4719, 7782, 4720, 7780, 7781, 0, 4721, 7777, 7778, 0, 7779, 0, 0, 0, 148, 
-    671, 672, 2120, 673, 2118, 2119, 4717, 674, 2115, 2116, 4716, 2117, 4714, 4715, 7776, 675, 2111, 2112, 4713, 2113, 4711, 4712, 7775, 2114, 4708, 4709, 7774, 4710, 7772, 7773, 0, 676, 
-    2106, 2107, 4707, 2108, 4705, 4706, 7771, 2109, 4702, 4703, 7770, 4704, 7768, 7769, 0, 2110, 4698, 4699, 7767, 4700, 7765, 7766, 0, 4701, 7762, 7763, 0, 7764, 0, 0, 0, 677, 
-    2100, 2101, 4697, 2102, 4695, 4696, 7761, 2103, 4692, 4693, 7760, 4694, 7758, 7759, 0, 2104, 4688, 4689, 7757, 4690, 7755, 7756, 0, 4691, 7752, 7753, 0, 7754, 0, 0, 0, 2105, 
-    4683, 4684, 7751, 4685, 7749, 7750, 0, 4686, 7746, 7747, 0, 7748, 0, 0, 0, 4687, 7742, 7743, 0, 7744, 0, 0, 0, 7745, 0, 0, 0, 0, 0, 0, 0, 149, 
-    663, 664, 2099, 665, 2097, 2098, 4682, 666, 2094, 2095, 4681, 2096, 4679, 4680, 7741, 667, 2090, 2091, 4678, 2092, 4676, 4677, 7740, 2093, 4673, 4674, 7739, 4675, 7737, 7738, 0, 668, 
-    2085, 2086, 4672, 2087, 4670, 4671, 7736, 2088, 4667, 4668, 7735, 4669, 7733, 7734, 0, 2089, 4663, 4664, 7732, 4665, 7730, 7731, 0, 4666, 7727, 7728, 0, 7729, 0, 0, 0, 669, 
-    2079, 2080, 4662, 2081, 4660, 4661, 7726, 2082, 4657, 4658, 7725, 4659, 7723, 7724, 0, 2083, 4653, 4654, 7722, 4655, 7720, 7721, 0, 4656, 7717, 7718, 0, 7719, 0, 0, 0, 2084, 
-    4648, 4649, 7716, 4650, 7714, 7715, 0, 4651, 7711, 7712, 0, 7713, 0, 0, 0, 4652, 7707, 7708, 0, 7709, 0, 0, 0, 7710, 0, 0, 0, 0, 0, 0, 0, 670, 
-    2072, 2073, 4647, 2074, 4645, 4646, 7706, 2075, 4642, 4643, 7705, 4644, 7703, 7704, 0, 2076, 4638, 4639, 7702, 4640, 7700, 7701, 0, 4641, 7697, 7698, 0, 7699, 0, 0, 0, 2077, 
-    4633, 4634, 7696, 4635, 7694, 7695, 0, 4636, 7691, 7692, 0, 7693, 0, 0, 0, 4637, 7687, 7688, 0, 7689, 0, 0, 0, 7690, 0, 0, 0, 0, 0, 0, 0, 2078, 
-    4627, 4628, 7686, 4629, 7684, 7685, 0, 4630, 7681, 7682, 0, 7683, 0, 0, 0, 4631, 7677, 7678, 0, 7679, 0, 0, 0, 7680, 0, 0, 0, 0, 0, 0, 0, 4632, 
-    7672, 7673, 0, 7674, 0, 0, 0, 7675, 0, 0, 0, 0, 0, 0, 0, 7676, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 150, 
-    654, 655, 2071, 656, 2069, 2070, 4626, 657, 2066, 2067, 4625, 2068, 4623, 4624, 7671, 658, 2062, 2063, 4622, 2064, 4620, 4621, 7670, 2065, 4617, 4618, 7669, 4619, 7667, 7668, 0, 659, 
-    2057, 2058, 4616, 2059, 4614, 4615, 7666, 2060, 4611, 4612, 7665, 4613, 7663, 7664, 0, 2061, 4607, 4608, 7662, 4609, 7660, 7661, 0, 4610, 7657, 7658, 0, 7659, 0, 0, 0, 660, 
-    2051, 2052, 4606, 2053, 4604, 4605, 7656, 2054, 4601, 4602, 7655, 4603, 7653, 7654, 0, 2055, 4597, 4598, 7652, 4599, 7650, 7651, 0, 4600, 7647, 7648, 0, 7649, 0, 0, 0, 2056, 
-    4592, 4593, 7646, 4594, 7644, 7645, 0, 4595, 7641, 7642, 0, 7643, 0, 0, 0, 4596, 7637, 7638, 0, 7639, 0, 0, 0, 7640, 0, 0, 0, 0, 0, 0, 0, 661, 
-    2044, 2045, 4591, 2046, 4589, 4590, 7636, 2047, 4586, 4587, 7635, 4588, 7633, 7634, 0, 2048, 4582, 4583, 7632, 4584, 7630, 7631, 0, 4585, 7627, 7628, 0, 7629, 0, 0, 0, 2049, 
-    4577, 4578, 7626, 4579, 7624, 7625, 0, 4580, 7621, 7622, 0, 7623, 0, 0, 0, 4581, 7617, 7618, 0, 7619, 0, 0, 0, 7620, 0, 0, 0, 0, 0, 0, 0, 2050, 
-    4571, 4572, 7616, 4573, 7614, 7615, 0, 4574, 7611, 7612, 0, 7613, 0, 0, 0, 4575, 7607, 7608, 0, 7609, 0, 0, 0, 7610, 0, 0, 0, 0, 0, 0, 0, 4576, 
-    7602, 7603, 0, 7604, 0, 0, 0, 7605, 0, 0, 0, 0, 0, 0, 0, 7606, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 662, 
-    2036, 2037, 4570, 2038, 4568, 4569, 7601, 2039, 4565, 4566, 7600, 4567, 7598, 7599, 0, 2040, 4561, 4562, 7597, 4563, 7595, 7596, 0, 4564, 7592, 7593, 0, 7594, 0, 0, 0, 2041, 
-    4556, 4557, 7591, 4558, 7589, 7590, 0, 4559, 7586, 7587, 0, 7588, 0, 0, 0, 4560, 7582, 7583, 0, 7584, 0, 0, 0, 7585, 0, 0, 0, 0, 0, 0, 0, 2042, 
-    4550, 4551, 7581, 4552, 7579, 7580, 0, 4553, 7576, 7577, 0, 7578, 0, 0, 0, 4554, 7572, 7573, 0, 7574, 0, 0, 0, 7575, 0, 0, 0, 0, 0, 0, 0, 4555, 
-    7567, 7568, 0, 7569, 0, 0, 0, 7570, 0, 0, 0, 0, 0, 0, 0, 7571, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2043, 
-    4543, 4544, 7566, 4545, 7564, 7565, 0, 4546, 7561, 7562, 0, 7563, 0, 0, 0, 4547, 7557, 7558, 0, 7559, 0, 0, 0, 7560, 0, 0, 0, 0, 0, 0, 0, 4548, 
-    7552, 7553, 0, 7554, 0, 0, 0, 7555, 0, 0, 0, 0, 0, 0, 0, 7556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4549, 
-    7546, 7547, 0, 7548, 0, 0, 0, 7549, 0, 0, 0, 0, 0, 0, 0, 7550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7551, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 
-    130, 131, 653, 132, 651, 652, 2035, 133, 648, 649, 2034, 650, 2032, 2033, 4542, 134, 644, 645, 2031, 646, 2029, 2030, 4541, 647, 2026, 2027, 4540, 2028, 4538, 4539, 7545, 135, 
-    639, 640, 2025, 641, 2023, 2024, 4537, 642, 2020, 2021, 4536, 2022, 4534, 4535, 7544, 643, 2016, 2017, 4533, 2018, 4531, 4532, 7543, 2019, 4528, 4529, 7542, 4530, 7540, 7541, 0, 136, 
-    633, 634, 2015, 635, 2013, 2014, 4527, 636, 2010, 2011, 4526, 2012, 4524, 4525, 7539, 637, 2006, 2007, 4523, 2008, 4521, 4522, 7538, 2009, 4518, 4519, 7537, 4520, 7535, 7536, 0, 638, 
-    2001, 2002, 4517, 2003, 4515, 4516, 7534, 2004, 4512, 4513, 7533, 4514, 7531, 7532, 0, 2005, 4508, 4509, 7530, 4510, 7528, 7529, 0, 4511, 7525, 7526, 0, 7527, 0, 0, 0, 137, 
-    626, 627, 2000, 628, 1998, 1999, 4507, 629, 1995, 1996, 4506, 1997, 4504, 4505, 7524, 630, 1991, 1992, 4503, 1993, 4501, 4502, 7523, 1994, 4498, 4499, 7522, 4500, 7520, 7521, 0, 631, 
-    1986, 1987, 4497, 1988, 4495, 4496, 7519, 1989, 4492, 4493, 7518, 4494, 7516, 7517, 0, 1990, 4488, 4489, 7515, 4490, 7513, 7514, 0, 4491, 7510, 7511, 0, 7512, 0, 0, 0, 632, 
-    1980, 1981, 4487, 1982, 4485, 4486, 7509, 1983, 4482, 4483, 7508, 4484, 7506, 7507, 0, 1984, 4478, 4479, 7505, 4480, 7503, 7504, 0, 4481, 7500, 7501, 0, 7502, 0, 0, 0, 1985, 
-    4473, 4474, 7499, 4475, 7497, 7498, 0, 4476, 7494, 7495, 0, 7496, 0, 0, 0, 4477, 7490, 7491, 0, 7492, 0, 0, 0, 7493, 0, 0, 0, 0, 0, 0, 0, 138, 
-    618, 619, 1979, 620, 1977, 1978, 4472, 621, 1974, 1975, 4471, 1976, 4469, 4470, 7489, 622, 1970, 1971, 4468, 1972, 4466, 4467, 7488, 1973, 4463, 4464, 7487, 4465, 7485, 7486, 0, 623, 
-    1965, 1966, 4462, 1967, 4460, 4461, 7484, 1968, 4457, 4458, 7483, 4459, 7481, 7482, 0, 1969, 4453, 4454, 7480, 4455, 7478, 7479, 0, 4456, 7475, 7476, 0, 7477, 0, 0, 0, 624, 
-    1959, 1960, 4452, 1961, 4450, 4451, 7474, 1962, 4447, 4448, 7473, 4449, 7471, 7472, 0, 1963, 4443, 4444, 7470, 4445, 7468, 7469, 0, 4446, 7465, 7466, 0, 7467, 0, 0, 0, 1964, 
-    4438, 4439, 7464, 4440, 7462, 7463, 0, 4441, 7459, 7460, 0, 7461, 0, 0, 0, 4442, 7455, 7456, 0, 7457, 0, 0, 0, 7458, 0, 0, 0, 0, 0, 0, 0, 625, 
-    1952, 1953, 4437, 1954, 4435, 4436, 7454, 1955, 4432, 4433, 7453, 4434, 7451, 7452, 0, 1956, 4428, 4429, 7450, 4430, 7448, 7449, 0, 4431, 7445, 7446, 0, 7447, 0, 0, 0, 1957, 
-    4423, 4424, 7444, 4425, 7442, 7443, 0, 4426, 7439, 7440, 0, 7441, 0, 0, 0, 4427, 7435, 7436, 0, 7437, 0, 0, 0, 7438, 0, 0, 0, 0, 0, 0, 0, 1958, 
-    4417, 4418, 7434, 4419, 7432, 7433, 0, 4420, 7429, 7430, 0, 7431, 0, 0, 0, 4421, 7425, 7426, 0, 7427, 0, 0, 0, 7428, 0, 0, 0, 0, 0, 0, 0, 4422, 
-    7420, 7421, 0, 7422, 0, 0, 0, 7423, 0, 0, 0, 0, 0, 0, 0, 7424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 139, 
-    609, 610, 1951, 611, 1949, 1950, 4416, 612, 1946, 1947, 4415, 1948, 4413, 4414, 7419, 613, 1942, 1943, 4412, 1944, 4410, 4411, 7418, 1945, 4407, 4408, 7417, 4409, 7415, 7416, 0, 614, 
-    1937, 1938, 4406, 1939, 4404, 4405, 7414, 1940, 4401, 4402, 7413, 4403, 7411, 7412, 0, 1941, 4397, 4398, 7410, 4399, 7408, 7409, 0, 4400, 7405, 7406, 0, 7407, 0, 0, 0, 615, 
-    1931, 1932, 4396, 1933, 4394, 4395, 7404, 1934, 4391, 4392, 7403, 4393, 7401, 7402, 0, 1935, 4387, 4388, 7400, 4389, 7398, 7399, 0, 4390, 7395, 7396, 0, 7397, 0, 0, 0, 1936, 
-    4382, 4383, 7394, 4384, 7392, 7393, 0, 4385, 7389, 7390, 0, 7391, 0, 0, 0, 4386, 7385, 7386, 0, 7387, 0, 0, 0, 7388, 0, 0, 0, 0, 0, 0, 0, 616, 
-    1924, 1925, 4381, 1926, 4379, 4380, 7384, 1927, 4376, 4377, 7383, 4378, 7381, 7382, 0, 1928, 4372, 4373, 7380, 4374, 7378, 7379, 0, 4375, 7375, 7376, 0, 7377, 0, 0, 0, 1929, 
-    4367, 4368, 7374, 4369, 7372, 7373, 0, 4370, 7369, 7370, 0, 7371, 0, 0, 0, 4371, 7365, 7366, 0, 7367, 0, 0, 0, 7368, 0, 0, 0, 0, 0, 0, 0, 1930, 
-    4361, 4362, 7364, 4363, 7362, 7363, 0, 4364, 7359, 7360, 0, 7361, 0, 0, 0, 4365, 7355, 7356, 0, 7357, 0, 0, 0, 7358, 0, 0, 0, 0, 0, 0, 0, 4366, 
-    7350, 7351, 0, 7352, 0, 0, 0, 7353, 0, 0, 0, 0, 0, 0, 0, 7354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 617, 
-    1916, 1917, 4360, 1918, 4358, 4359, 7349, 1919, 4355, 4356, 7348, 4357, 7346, 7347, 0, 1920, 4351, 4352, 7345, 4353, 7343, 7344, 0, 4354, 7340, 7341, 0, 7342, 0, 0, 0, 1921, 
-    4346, 4347, 7339, 4348, 7337, 7338, 0, 4349, 7334, 7335, 0, 7336, 0, 0, 0, 4350, 7330, 7331, 0, 7332, 0, 0, 0, 7333, 0, 0, 0, 0, 0, 0, 0, 1922, 
-    4340, 4341, 7329, 4342, 7327, 7328, 0, 4343, 7324, 7325, 0, 7326, 0, 0, 0, 4344, 7320, 7321, 0, 7322, 0, 0, 0, 7323, 0, 0, 0, 0, 0, 0, 0, 4345, 
-    7315, 7316, 0, 7317, 0, 0, 0, 7318, 0, 0, 0, 0, 0, 0, 0, 7319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1923, 
-    4333, 4334, 7314, 4335, 7312, 7313, 0, 4336, 7309, 7310, 0, 7311, 0, 0, 0, 4337, 7305, 7306, 0, 7307, 0, 0, 0, 7308, 0, 0, 0, 0, 0, 0, 0, 4338, 
-    7300, 7301, 0, 7302, 0, 0, 0, 7303, 0, 0, 0, 0, 0, 0, 0, 7304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4339, 
-    7294, 7295, 0, 7296, 0, 0, 0, 7297, 0, 0, 0, 0, 0, 0, 0, 7298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7299, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 
-    599, 600, 1915, 601, 1913, 1914, 4332, 602, 1910, 1911, 4331, 1912, 4329, 4330, 7293, 603, 1906, 1907, 4328, 1908, 4326, 4327, 7292, 1909, 4323, 4324, 7291, 4325, 7289, 7290, 0, 604, 
-    1901, 1902, 4322, 1903, 4320, 4321, 7288, 1904, 4317, 4318, 7287, 4319, 7285, 7286, 0, 1905, 4313, 4314, 7284, 4315, 7282, 7283, 0, 4316, 7279, 7280, 0, 7281, 0, 0, 0, 605, 
-    1895, 1896, 4312, 1897, 4310, 4311, 7278, 1898, 4307, 4308, 7277, 4309, 7275, 7276, 0, 1899, 4303, 4304, 7274, 4305, 7272, 7273, 0, 4306, 7269, 7270, 0, 7271, 0, 0, 0, 1900, 
-    4298, 4299, 7268, 4300, 7266, 7267, 0, 4301, 7263, 7264, 0, 7265, 0, 0, 0, 4302, 7259, 7260, 0, 7261, 0, 0, 0, 7262, 0, 0, 0, 0, 0, 0, 0, 606, 
-    1888, 1889, 4297, 1890, 4295, 4296, 7258, 1891, 4292, 4293, 7257, 4294, 7255, 7256, 0, 1892, 4288, 4289, 7254, 4290, 7252, 7253, 0, 4291, 7249, 7250, 0, 7251, 0, 0, 0, 1893, 
-    4283, 4284, 7248, 4285, 7246, 7247, 0, 4286, 7243, 7244, 0, 7245, 0, 0, 0, 4287, 7239, 7240, 0, 7241, 0, 0, 0, 7242, 0, 0, 0, 0, 0, 0, 0, 1894, 
-    4277, 4278, 7238, 4279, 7236, 7237, 0, 4280, 7233, 7234, 0, 7235, 0, 0, 0, 4281, 7229, 7230, 0, 7231, 0, 0, 0, 7232, 0, 0, 0, 0, 0, 0, 0, 4282, 
-    7224, 7225, 0, 7226, 0, 0, 0, 7227, 0, 0, 0, 0, 0, 0, 0, 7228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 607, 
-    1880, 1881, 4276, 1882, 4274, 4275, 7223, 1883, 4271, 4272, 7222, 4273, 7220, 7221, 0, 1884, 4267, 4268, 7219, 4269, 7217, 7218, 0, 4270, 7214, 7215, 0, 7216, 0, 0, 0, 1885, 
-    4262, 4263, 7213, 4264, 7211, 7212, 0, 4265, 7208, 7209, 0, 7210, 0, 0, 0, 4266, 7204, 7205, 0, 7206, 0, 0, 0, 7207, 0, 0, 0, 0, 0, 0, 0, 1886, 
-    4256, 4257, 7203, 4258, 7201, 7202, 0, 4259, 7198, 7199, 0, 7200, 0, 0, 0, 4260, 7194, 7195, 0, 7196, 0, 0, 0, 7197, 0, 0, 0, 0, 0, 0, 0, 4261, 
-    7189, 7190, 0, 7191, 0, 0, 0, 7192, 0, 0, 0, 0, 0, 0, 0, 7193, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1887, 
-    4249, 4250, 7188, 4251, 7186, 7187, 0, 4252, 7183, 7184, 0, 7185, 0, 0, 0, 4253, 7179, 7180, 0, 7181, 0, 0, 0, 7182, 0, 0, 0, 0, 0, 0, 0, 4254, 
-    7174, 7175, 0, 7176, 0, 0, 0, 7177, 0, 0, 0, 0, 0, 0, 0, 7178, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4255, 
-    7168, 7169, 0, 7170, 0, 0, 0, 7171, 0, 0, 0, 0, 0, 0, 0, 7172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7173, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 608, 
-    1871, 1872, 4248, 1873, 4246, 4247, 7167, 1874, 4243, 4244, 7166, 4245, 7164, 7165, 0, 1875, 4239, 4240, 7163, 4241, 7161, 7162, 0, 4242, 7158, 7159, 0, 7160, 0, 0, 0, 1876, 
-    4234, 4235, 7157, 4236, 7155, 7156, 0, 4237, 7152, 7153, 0, 7154, 0, 0, 0, 4238, 7148, 7149, 0, 7150, 0, 0, 0, 7151, 0, 0, 0, 0, 0, 0, 0, 1877, 
-    4228, 4229, 7147, 4230, 7145, 7146, 0, 4231, 7142, 7143, 0, 7144, 0, 0, 0, 4232, 7138, 7139, 0, 7140, 0, 0, 0, 7141, 0, 0, 0, 0, 0, 0, 0, 4233, 
-    7133, 7134, 0, 7135, 0, 0, 0, 7136, 0, 0, 0, 0, 0, 0, 0, 7137, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1878, 
-    4221, 4222, 7132, 4223, 7130, 7131, 0, 4224, 7127, 7128, 0, 7129, 0, 0, 0, 4225, 7123, 7124, 0, 7125, 0, 0, 0, 7126, 0, 0, 0, 0, 0, 0, 0, 4226, 
-    7118, 7119, 0, 7120, 0, 0, 0, 7121, 0, 0, 0, 0, 0, 0, 0, 7122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4227, 
-    7112, 7113, 0, 7114, 0, 0, 0, 7115, 0, 0, 0, 0, 0, 0, 0, 7116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7117, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1879, 
-    4213, 4214, 7111, 4215, 7109, 7110, 0, 4216, 7106, 7107, 0, 7108, 0, 0, 0, 4217, 7102, 7103, 0, 7104, 0, 0, 0, 7105, 0, 0, 0, 0, 0, 0, 0, 4218, 
-    7097, 7098, 0, 7099, 0, 0, 0, 7100, 0, 0, 0, 0, 0, 0, 0, 7101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4219, 
-    7091, 7092, 0, 7093, 0, 0, 0, 7094, 0, 0, 0, 0, 0, 0, 0, 7095, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7096, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4220, 
-    7084, 7085, 0, 7086, 0, 0, 0, 7087, 0, 0, 0, 0, 0, 0, 0, 7088, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7089, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7090, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 
-    118, 119, 598, 120, 596, 597, 1870, 121, 593, 594, 1869, 595, 1867, 1868, 4212, 122, 589, 590, 1866, 591, 1864, 1865, 4211, 592, 1861, 1862, 4210, 1863, 4208, 4209, 7083, 123, 
-    584, 585, 1860, 586, 1858, 1859, 4207, 587, 1855, 1856, 4206, 1857, 4204, 4205, 7082, 588, 1851, 1852, 4203, 1853, 4201, 4202, 7081, 1854, 4198, 4199, 7080, 4200, 7078, 7079, 0, 124, 
-    578, 579, 1850, 580, 1848, 1849, 4197, 581, 1845, 1846, 4196, 1847, 4194, 4195, 7077, 582, 1841, 1842, 4193, 1843, 4191, 4192, 7076, 1844, 4188, 4189, 7075, 4190, 7073, 7074, 0, 583, 
-    1836, 1837, 4187, 1838, 4185, 4186, 7072, 1839, 4182, 4183, 7071, 4184, 7069, 7070, 0, 1840, 4178, 4179, 7068, 4180, 7066, 7067, 0, 4181, 7063, 7064, 0, 7065, 0, 0, 0, 125, 
-    571, 572, 1835, 573, 1833, 1834, 4177, 574, 1830, 1831, 4176, 1832, 4174, 4175, 7062, 575, 1826, 1827, 4173, 1828, 4171, 4172, 7061, 1829, 4168, 4169, 7060, 4170, 7058, 7059, 0, 576, 
-    1821, 1822, 4167, 1823, 4165, 4166, 7057, 1824, 4162, 4163, 7056, 4164, 7054, 7055, 0, 1825, 4158, 4159, 7053, 4160, 7051, 7052, 0, 4161, 7048, 7049, 0, 7050, 0, 0, 0, 577, 
-    1815, 1816, 4157, 1817, 4155, 4156, 7047, 1818, 4152, 4153, 7046, 4154, 7044, 7045, 0, 1819, 4148, 4149, 7043, 4150, 7041, 7042, 0, 4151, 7038, 7039, 0, 7040, 0, 0, 0, 1820, 
-    4143, 4144, 7037, 4145, 7035, 7036, 0, 4146, 7032, 7033, 0, 7034, 0, 0, 0, 4147, 7028, 7029, 0, 7030, 0, 0, 0, 7031, 0, 0, 0, 0, 0, 0, 0, 126, 
-    563, 564, 1814, 565, 1812, 1813, 4142, 566, 1809, 1810, 4141, 1811, 4139, 4140, 7027, 567, 1805, 1806, 4138, 1807, 4136, 4137, 7026, 1808, 4133, 4134, 7025, 4135, 7023, 7024, 0, 568, 
-    1800, 1801, 4132, 1802, 4130, 4131, 7022, 1803, 4127, 4128, 7021, 4129, 7019, 7020, 0, 1804, 4123, 4124, 7018, 4125, 7016, 7017, 0, 4126, 7013, 7014, 0, 7015, 0, 0, 0, 569, 
-    1794, 1795, 4122, 1796, 4120, 4121, 7012, 1797, 4117, 4118, 7011, 4119, 7009, 7010, 0, 1798, 4113, 4114, 7008, 4115, 7006, 7007, 0, 4116, 7003, 7004, 0, 7005, 0, 0, 0, 1799, 
-    4108, 4109, 7002, 4110, 7000, 7001, 0, 4111, 6997, 6998, 0, 6999, 0, 0, 0, 4112, 6993, 6994, 0, 6995, 0, 0, 0, 6996, 0, 0, 0, 0, 0, 0, 0, 570, 
-    1787, 1788, 4107, 1789, 4105, 4106, 6992, 1790, 4102, 4103, 6991, 4104, 6989, 6990, 0, 1791, 4098, 4099, 6988, 4100, 6986, 6987, 0, 4101, 6983, 6984, 0, 6985, 0, 0, 0, 1792, 
-    4093, 4094, 6982, 4095, 6980, 6981, 0, 4096, 6977, 6978, 0, 6979, 0, 0, 0, 4097, 6973, 6974, 0, 6975, 0, 0, 0, 6976, 0, 0, 0, 0, 0, 0, 0, 1793, 
-    4087, 4088, 6972, 4089, 6970, 6971, 0, 4090, 6967, 6968, 0, 6969, 0, 0, 0, 4091, 6963, 6964, 0, 6965, 0, 0, 0, 6966, 0, 0, 0, 0, 0, 0, 0, 4092, 
-    6958, 6959, 0, 6960, 0, 0, 0, 6961, 0, 0, 0, 0, 0, 0, 0, 6962, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 127, 
-    554, 555, 1786, 556, 1784, 1785, 4086, 557, 1781, 1782, 4085, 1783, 4083, 4084, 6957, 558, 1777, 1778, 4082, 1779, 4080, 4081, 6956, 1780, 4077, 4078, 6955, 4079, 6953, 6954, 0, 559, 
-    1772, 1773, 4076, 1774, 4074, 4075, 6952, 1775, 4071, 4072, 6951, 4073, 6949, 6950, 0, 1776, 4067, 4068, 6948, 4069, 6946, 6947, 0, 4070, 6943, 6944, 0, 6945, 0, 0, 0, 560, 
-    1766, 1767, 4066, 1768, 4064, 4065, 6942, 1769, 4061, 4062, 6941, 4063, 6939, 6940, 0, 1770, 4057, 4058, 6938, 4059, 6936, 6937, 0, 4060, 6933, 6934, 0, 6935, 0, 0, 0, 1771, 
-    4052, 4053, 6932, 4054, 6930, 6931, 0, 4055, 6927, 6928, 0, 6929, 0, 0, 0, 4056, 6923, 6924, 0, 6925, 0, 0, 0, 6926, 0, 0, 0, 0, 0, 0, 0, 561, 
-    1759, 1760, 4051, 1761, 4049, 4050, 6922, 1762, 4046, 4047, 6921, 4048, 6919, 6920, 0, 1763, 4042, 4043, 6918, 4044, 6916, 6917, 0, 4045, 6913, 6914, 0, 6915, 0, 0, 0, 1764, 
-    4037, 4038, 6912, 4039, 6910, 6911, 0, 4040, 6907, 6908, 0, 6909, 0, 0, 0, 4041, 6903, 6904, 0, 6905, 0, 0, 0, 6906, 0, 0, 0, 0, 0, 0, 0, 1765, 
-    4031, 4032, 6902, 4033, 6900, 6901, 0, 4034, 6897, 6898, 0, 6899, 0, 0, 0, 4035, 6893, 6894, 0, 6895, 0, 0, 0, 6896, 0, 0, 0, 0, 0, 0, 0, 4036, 
-    6888, 6889, 0, 6890, 0, 0, 0, 6891, 0, 0, 0, 0, 0, 0, 0, 6892, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 562, 
-    1751, 1752, 4030, 1753, 4028, 4029, 6887, 1754, 4025, 4026, 6886, 4027, 6884, 6885, 0, 1755, 4021, 4022, 6883, 4023, 6881, 6882, 0, 4024, 6878, 6879, 0, 6880, 0, 0, 0, 1756, 
-    4016, 4017, 6877, 4018, 6875, 6876, 0, 4019, 6872, 6873, 0, 6874, 0, 0, 0, 4020, 6868, 6869, 0, 6870, 0, 0, 0, 6871, 0, 0, 0, 0, 0, 0, 0, 1757, 
-    4010, 4011, 6867, 4012, 6865, 6866, 0, 4013, 6862, 6863, 0, 6864, 0, 0, 0, 4014, 6858, 6859, 0, 6860, 0, 0, 0, 6861, 0, 0, 0, 0, 0, 0, 0, 4015, 
-    6853, 6854, 0, 6855, 0, 0, 0, 6856, 0, 0, 0, 0, 0, 0, 0, 6857, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1758, 
-    4003, 4004, 6852, 4005, 6850, 6851, 0, 4006, 6847, 6848, 0, 6849, 0, 0, 0, 4007, 6843, 6844, 0, 6845, 0, 0, 0, 6846, 0, 0, 0, 0, 0, 0, 0, 4008, 
-    6838, 6839, 0, 6840, 0, 0, 0, 6841, 0, 0, 0, 0, 0, 0, 0, 6842, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4009, 
-    6832, 6833, 0, 6834, 0, 0, 0, 6835, 0, 0, 0, 0, 0, 0, 0, 6836, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6837, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 
-    544, 545, 1750, 546, 1748, 1749, 4002, 547, 1745, 1746, 4001, 1747, 3999, 4000, 6831, 548, 1741, 1742, 3998, 1743, 3996, 3997, 6830, 1744, 3993, 3994, 6829, 3995, 6827, 6828, 0, 549, 
-    1736, 1737, 3992, 1738, 3990, 3991, 6826, 1739, 3987, 3988, 6825, 3989, 6823, 6824, 0, 1740, 3983, 3984, 6822, 3985, 6820, 6821, 0, 3986, 6817, 6818, 0, 6819, 0, 0, 0, 550, 
-    1730, 1731, 3982, 1732, 3980, 3981, 6816, 1733, 3977, 3978, 6815, 3979, 6813, 6814, 0, 1734, 3973, 3974, 6812, 3975, 6810, 6811, 0, 3976, 6807, 6808, 0, 6809, 0, 0, 0, 1735, 
-    3968, 3969, 6806, 3970, 6804, 6805, 0, 3971, 6801, 6802, 0, 6803, 0, 0, 0, 3972, 6797, 6798, 0, 6799, 0, 0, 0, 6800, 0, 0, 0, 0, 0, 0, 0, 551, 
-    1723, 1724, 3967, 1725, 3965, 3966, 6796, 1726, 3962, 3963, 6795, 3964, 6793, 6794, 0, 1727, 3958, 3959, 6792, 3960, 6790, 6791, 0, 3961, 6787, 6788, 0, 6789, 0, 0, 0, 1728, 
-    3953, 3954, 6786, 3955, 6784, 6785, 0, 3956, 6781, 6782, 0, 6783, 0, 0, 0, 3957, 6777, 6778, 0, 6779, 0, 0, 0, 6780, 0, 0, 0, 0, 0, 0, 0, 1729, 
-    3947, 3948, 6776, 3949, 6774, 6775, 0, 3950, 6771, 6772, 0, 6773, 0, 0, 0, 3951, 6767, 6768, 0, 6769, 0, 0, 0, 6770, 0, 0, 0, 0, 0, 0, 0, 3952, 
-    6762, 6763, 0, 6764, 0, 0, 0, 6765, 0, 0, 0, 0, 0, 0, 0, 6766, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 552, 
-    1715, 1716, 3946, 1717, 3944, 3945, 6761, 1718, 3941, 3942, 6760, 3943, 6758, 6759, 0, 1719, 3937, 3938, 6757, 3939, 6755, 6756, 0, 3940, 6752, 6753, 0, 6754, 0, 0, 0, 1720, 
-    3932, 3933, 6751, 3934, 6749, 6750, 0, 3935, 6746, 6747, 0, 6748, 0, 0, 0, 3936, 6742, 6743, 0, 6744, 0, 0, 0, 6745, 0, 0, 0, 0, 0, 0, 0, 1721, 
-    3926, 3927, 6741, 3928, 6739, 6740, 0, 3929, 6736, 6737, 0, 6738, 0, 0, 0, 3930, 6732, 6733, 0, 6734, 0, 0, 0, 6735, 0, 0, 0, 0, 0, 0, 0, 3931, 
-    6727, 6728, 0, 6729, 0, 0, 0, 6730, 0, 0, 0, 0, 0, 0, 0, 6731, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1722, 
-    3919, 3920, 6726, 3921, 6724, 6725, 0, 3922, 6721, 6722, 0, 6723, 0, 0, 0, 3923, 6717, 6718, 0, 6719, 0, 0, 0, 6720, 0, 0, 0, 0, 0, 0, 0, 3924, 
-    6712, 6713, 0, 6714, 0, 0, 0, 6715, 0, 0, 0, 0, 0, 0, 0, 6716, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3925, 
-    6706, 6707, 0, 6708, 0, 0, 0, 6709, 0, 0, 0, 0, 0, 0, 0, 6710, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6711, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 553, 
-    1706, 1707, 3918, 1708, 3916, 3917, 6705, 1709, 3913, 3914, 6704, 3915, 6702, 6703, 0, 1710, 3909, 3910, 6701, 3911, 6699, 6700, 0, 3912, 6696, 6697, 0, 6698, 0, 0, 0, 1711, 
-    3904, 3905, 6695, 3906, 6693, 6694, 0, 3907, 6690, 6691, 0, 6692, 0, 0, 0, 3908, 6686, 6687, 0, 6688, 0, 0, 0, 6689, 0, 0, 0, 0, 0, 0, 0, 1712, 
-    3898, 3899, 6685, 3900, 6683, 6684, 0, 3901, 6680, 6681, 0, 6682, 0, 0, 0, 3902, 6676, 6677, 0, 6678, 0, 0, 0, 6679, 0, 0, 0, 0, 0, 0, 0, 3903, 
-    6671, 6672, 0, 6673, 0, 0, 0, 6674, 0, 0, 0, 0, 0, 0, 0, 6675, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1713, 
-    3891, 3892, 6670, 3893, 6668, 6669, 0, 3894, 6665, 6666, 0, 6667, 0, 0, 0, 3895, 6661, 6662, 0, 6663, 0, 0, 0, 6664, 0, 0, 0, 0, 0, 0, 0, 3896, 
-    6656, 6657, 0, 6658, 0, 0, 0, 6659, 0, 0, 0, 0, 0, 0, 0, 6660, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3897, 
-    6650, 6651, 0, 6652, 0, 0, 0, 6653, 0, 0, 0, 0, 0, 0, 0, 6654, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6655, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1714, 
-    3883, 3884, 6649, 3885, 6647, 6648, 0, 3886, 6644, 6645, 0, 6646, 0, 0, 0, 3887, 6640, 6641, 0, 6642, 0, 0, 0, 6643, 0, 0, 0, 0, 0, 0, 0, 3888, 
-    6635, 6636, 0, 6637, 0, 0, 0, 6638, 0, 0, 0, 0, 0, 0, 0, 6639, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3889, 
-    6629, 6630, 0, 6631, 0, 0, 0, 6632, 0, 0, 0, 0, 0, 0, 0, 6633, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6634, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3890, 
-    6622, 6623, 0, 6624, 0, 0, 0, 6625, 0, 0, 0, 0, 0, 0, 0, 6626, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6627, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6628, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 129, 
-    533, 534, 1705, 535, 1703, 1704, 3882, 536, 1700, 1701, 3881, 1702, 3879, 3880, 6621, 537, 1696, 1697, 3878, 1698, 3876, 3877, 6620, 1699, 3873, 3874, 6619, 3875, 6617, 6618, 0, 538, 
-    1691, 1692, 3872, 1693, 3870, 3871, 6616, 1694, 3867, 3868, 6615, 3869, 6613, 6614, 0, 1695, 3863, 3864, 6612, 3865, 6610, 6611, 0, 3866, 6607, 6608, 0, 6609, 0, 0, 0, 539, 
-    1685, 1686, 3862, 1687, 3860, 3861, 6606, 1688, 3857, 3858, 6605, 3859, 6603, 6604, 0, 1689, 3853, 3854, 6602, 3855, 6600, 6601, 0, 3856, 6597, 6598, 0, 6599, 0, 0, 0, 1690, 
-    3848, 3849, 6596, 3850, 6594, 6595, 0, 3851, 6591, 6592, 0, 6593, 0, 0, 0, 3852, 6587, 6588, 0, 6589, 0, 0, 0, 6590, 0, 0, 0, 0, 0, 0, 0, 540, 
-    1678, 1679, 3847, 1680, 3845, 3846, 6586, 1681, 3842, 3843, 6585, 3844, 6583, 6584, 0, 1682, 3838, 3839, 6582, 3840, 6580, 6581, 0, 3841, 6577, 6578, 0, 6579, 0, 0, 0, 1683, 
-    3833, 3834, 6576, 3835, 6574, 6575, 0, 3836, 6571, 6572, 0, 6573, 0, 0, 0, 3837, 6567, 6568, 0, 6569, 0, 0, 0, 6570, 0, 0, 0, 0, 0, 0, 0, 1684, 
-    3827, 3828, 6566, 3829, 6564, 6565, 0, 3830, 6561, 6562, 0, 6563, 0, 0, 0, 3831, 6557, 6558, 0, 6559, 0, 0, 0, 6560, 0, 0, 0, 0, 0, 0, 0, 3832, 
-    6552, 6553, 0, 6554, 0, 0, 0, 6555, 0, 0, 0, 0, 0, 0, 0, 6556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 541, 
-    1670, 1671, 3826, 1672, 3824, 3825, 6551, 1673, 3821, 3822, 6550, 3823, 6548, 6549, 0, 1674, 3817, 3818, 6547, 3819, 6545, 6546, 0, 3820, 6542, 6543, 0, 6544, 0, 0, 0, 1675, 
-    3812, 3813, 6541, 3814, 6539, 6540, 0, 3815, 6536, 6537, 0, 6538, 0, 0, 0, 3816, 6532, 6533, 0, 6534, 0, 0, 0, 6535, 0, 0, 0, 0, 0, 0, 0, 1676, 
-    3806, 3807, 6531, 3808, 6529, 6530, 0, 3809, 6526, 6527, 0, 6528, 0, 0, 0, 3810, 6522, 6523, 0, 6524, 0, 0, 0, 6525, 0, 0, 0, 0, 0, 0, 0, 3811, 
-    6517, 6518, 0, 6519, 0, 0, 0, 6520, 0, 0, 0, 0, 0, 0, 0, 6521, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1677, 
-    3799, 3800, 6516, 3801, 6514, 6515, 0, 3802, 6511, 6512, 0, 6513, 0, 0, 0, 3803, 6507, 6508, 0, 6509, 0, 0, 0, 6510, 0, 0, 0, 0, 0, 0, 0, 3804, 
-    6502, 6503, 0, 6504, 0, 0, 0, 6505, 0, 0, 0, 0, 0, 0, 0, 6506, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3805, 
-    6496, 6497, 0, 6498, 0, 0, 0, 6499, 0, 0, 0, 0, 0, 0, 0, 6500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6501, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 542, 
-    1661, 1662, 3798, 1663, 3796, 3797, 6495, 1664, 3793, 3794, 6494, 3795, 6492, 6493, 0, 1665, 3789, 3790, 6491, 3791, 6489, 6490, 0, 3792, 6486, 6487, 0, 6488, 0, 0, 0, 1666, 
-    3784, 3785, 6485, 3786, 6483, 6484, 0, 3787, 6480, 6481, 0, 6482, 0, 0, 0, 3788, 6476, 6477, 0, 6478, 0, 0, 0, 6479, 0, 0, 0, 0, 0, 0, 0, 1667, 
-    3778, 3779, 6475, 3780, 6473, 6474, 0, 3781, 6470, 6471, 0, 6472, 0, 0, 0, 3782, 6466, 6467, 0, 6468, 0, 0, 0, 6469, 0, 0, 0, 0, 0, 0, 0, 3783, 
-    6461, 6462, 0, 6463, 0, 0, 0, 6464, 0, 0, 0, 0, 0, 0, 0, 6465, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1668, 
-    3771, 3772, 6460, 3773, 6458, 6459, 0, 3774, 6455, 6456, 0, 6457, 0, 0, 0, 3775, 6451, 6452, 0, 6453, 0, 0, 0, 6454, 0, 0, 0, 0, 0, 0, 0, 3776, 
-    6446, 6447, 0, 6448, 0, 0, 0, 6449, 0, 0, 0, 0, 0, 0, 0, 6450, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3777, 
-    6440, 6441, 0, 6442, 0, 0, 0, 6443, 0, 0, 0, 0, 0, 0, 0, 6444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6445, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1669, 
-    3763, 3764, 6439, 3765, 6437, 6438, 0, 3766, 6434, 6435, 0, 6436, 0, 0, 0, 3767, 6430, 6431, 0, 6432, 0, 0, 0, 6433, 0, 0, 0, 0, 0, 0, 0, 3768, 
-    6425, 6426, 0, 6427, 0, 0, 0, 6428, 0, 0, 0, 0, 0, 0, 0, 6429, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3769, 
-    6419, 6420, 0, 6421, 0, 0, 0, 6422, 0, 0, 0, 0, 0, 0, 0, 6423, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6424, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3770, 
-    6412, 6413, 0, 6414, 0, 0, 0, 6415, 0, 0, 0, 0, 0, 0, 0, 6416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6417, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6418, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 543, 
-    1651, 1652, 3762, 1653, 3760, 3761, 6411, 1654, 3757, 3758, 6410, 3759, 6408, 6409, 0, 1655, 3753, 3754, 6407, 3755, 6405, 6406, 0, 3756, 6402, 6403, 0, 6404, 0, 0, 0, 1656, 
-    3748, 3749, 6401, 3750, 6399, 6400, 0, 3751, 6396, 6397, 0, 6398, 0, 0, 0, 3752, 6392, 6393, 0, 6394, 0, 0, 0, 6395, 0, 0, 0, 0, 0, 0, 0, 1657, 
-    3742, 3743, 6391, 3744, 6389, 6390, 0, 3745, 6386, 6387, 0, 6388, 0, 0, 0, 3746, 6382, 6383, 0, 6384, 0, 0, 0, 6385, 0, 0, 0, 0, 0, 0, 0, 3747, 
-    6377, 6378, 0, 6379, 0, 0, 0, 6380, 0, 0, 0, 0, 0, 0, 0, 6381, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1658, 
-    3735, 3736, 6376, 3737, 6374, 6375, 0, 3738, 6371, 6372, 0, 6373, 0, 0, 0, 3739, 6367, 6368, 0, 6369, 0, 0, 0, 6370, 0, 0, 0, 0, 0, 0, 0, 3740, 
-    6362, 6363, 0, 6364, 0, 0, 0, 6365, 0, 0, 0, 0, 0, 0, 0, 6366, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3741, 
-    6356, 6357, 0, 6358, 0, 0, 0, 6359, 0, 0, 0, 0, 0, 0, 0, 6360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6361, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1659, 
-    3727, 3728, 6355, 3729, 6353, 6354, 0, 3730, 6350, 6351, 0, 6352, 0, 0, 0, 3731, 6346, 6347, 0, 6348, 0, 0, 0, 6349, 0, 0, 0, 0, 0, 0, 0, 3732, 
-    6341, 6342, 0, 6343, 0, 0, 0, 6344, 0, 0, 0, 0, 0, 0, 0, 6345, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3733, 
-    6335, 6336, 0, 6337, 0, 0, 0, 6338, 0, 0, 0, 0, 0, 0, 0, 6339, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6340, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3734, 
-    6328, 6329, 0, 6330, 0, 0, 0, 6331, 0, 0, 0, 0, 0, 0, 0, 6332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6333, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6334, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1660, 
-    3718, 3719, 6327, 3720, 6325, 6326, 0, 3721, 6322, 6323, 0, 6324, 0, 0, 0, 3722, 6318, 6319, 0, 6320, 0, 0, 0, 6321, 0, 0, 0, 0, 0, 0, 0, 3723, 
-    6313, 6314, 0, 6315, 0, 0, 0, 6316, 0, 0, 0, 0, 0, 0, 0, 6317, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3724, 
-    6307, 6308, 0, 6309, 0, 0, 0, 6310, 0, 0, 0, 0, 0, 0, 0, 6311, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6312, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3725, 
-    6300, 6301, 0, 6302, 0, 0, 0, 6303, 0, 0, 0, 0, 0, 0, 0, 6304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6305, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6306, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3726, 
-    6292, 6293, 0, 6294, 0, 0, 0, 6295, 0, 0, 0, 0, 0, 0, 0, 6296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6297, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6298, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6299, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 
-    105, 106, 532, 107, 530, 531, 1650, 108, 527, 528, 1649, 529, 1647, 1648, 3717, 109, 523, 524, 1646, 525, 1644, 1645, 3716, 526, 1641, 1642, 3715, 1643, 3713, 3714, 6291, 110, 
-    518, 519, 1640, 520, 1638, 1639, 3712, 521, 1635, 1636, 3711, 1637, 3709, 3710, 6290, 522, 1631, 1632, 3708, 1633, 3706, 3707, 6289, 1634, 3703, 3704, 6288, 3705, 6286, 6287, 0, 111, 
-    512, 513, 1630, 514, 1628, 1629, 3702, 515, 1625, 1626, 3701, 1627, 3699, 3700, 6285, 516, 1621, 1622, 3698, 1623, 3696, 3697, 6284, 1624, 3693, 3694, 6283, 3695, 6281, 6282, 0, 517, 
-    1616, 1617, 3692, 1618, 3690, 3691, 6280, 1619, 3687, 3688, 6279, 3689, 6277, 6278, 0, 1620, 3683, 3684, 6276, 3685, 6274, 6275, 0, 3686, 6271, 6272, 0, 6273, 0, 0, 0, 112, 
-    505, 506, 1615, 507, 1613, 1614, 3682, 508, 1610, 1611, 3681, 1612, 3679, 3680, 6270, 509, 1606, 1607, 3678, 1608, 3676, 3677, 6269, 1609, 3673, 3674, 6268, 3675, 6266, 6267, 0, 510, 
-    1601, 1602, 3672, 1603, 3670, 3671, 6265, 1604, 3667, 3668, 6264, 3669, 6262, 6263, 0, 1605, 3663, 3664, 6261, 3665, 6259, 6260, 0, 3666, 6256, 6257, 0, 6258, 0, 0, 0, 511, 
-    1595, 1596, 3662, 1597, 3660, 3661, 6255, 1598, 3657, 3658, 6254, 3659, 6252, 6253, 0, 1599, 3653, 3654, 6251, 3655, 6249, 6250, 0, 3656, 6246, 6247, 0, 6248, 0, 0, 0, 1600, 
-    3648, 3649, 6245, 3650, 6243, 6244, 0, 3651, 6240, 6241, 0, 6242, 0, 0, 0, 3652, 6236, 6237, 0, 6238, 0, 0, 0, 6239, 0, 0, 0, 0, 0, 0, 0, 113, 
-    497, 498, 1594, 499, 1592, 1593, 3647, 500, 1589, 1590, 3646, 1591, 3644, 3645, 6235, 501, 1585, 1586, 3643, 1587, 3641, 3642, 6234, 1588, 3638, 3639, 6233, 3640, 6231, 6232, 0, 502, 
-    1580, 1581, 3637, 1582, 3635, 3636, 6230, 1583, 3632, 3633, 6229, 3634, 6227, 6228, 0, 1584, 3628, 3629, 6226, 3630, 6224, 6225, 0, 3631, 6221, 6222, 0, 6223, 0, 0, 0, 503, 
-    1574, 1575, 3627, 1576, 3625, 3626, 6220, 1577, 3622, 3623, 6219, 3624, 6217, 6218, 0, 1578, 3618, 3619, 6216, 3620, 6214, 6215, 0, 3621, 6211, 6212, 0, 6213, 0, 0, 0, 1579, 
-    3613, 3614, 6210, 3615, 6208, 6209, 0, 3616, 6205, 6206, 0, 6207, 0, 0, 0, 3617, 6201, 6202, 0, 6203, 0, 0, 0, 6204, 0, 0, 0, 0, 0, 0, 0, 504, 
-    1567, 1568, 3612, 1569, 3610, 3611, 6200, 1570, 3607, 3608, 6199, 3609, 6197, 6198, 0, 1571, 3603, 3604, 6196, 3605, 6194, 6195, 0, 3606, 6191, 6192, 0, 6193, 0, 0, 0, 1572, 
-    3598, 3599, 6190, 3600, 6188, 6189, 0, 3601, 6185, 6186, 0, 6187, 0, 0, 0, 3602, 6181, 6182, 0, 6183, 0, 0, 0, 6184, 0, 0, 0, 0, 0, 0, 0, 1573, 
-    3592, 3593, 6180, 3594, 6178, 6179, 0, 3595, 6175, 6176, 0, 6177, 0, 0, 0, 3596, 6171, 6172, 0, 6173, 0, 0, 0, 6174, 0, 0, 0, 0, 0, 0, 0, 3597, 
-    6166, 6167, 0, 6168, 0, 0, 0, 6169, 0, 0, 0, 0, 0, 0, 0, 6170, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 
-    488, 489, 1566, 490, 1564, 1565, 3591, 491, 1561, 1562, 3590, 1563, 3588, 3589, 6165, 492, 1557, 1558, 3587, 1559, 3585, 3586, 6164, 1560, 3582, 3583, 6163, 3584, 6161, 6162, 0, 493, 
-    1552, 1553, 3581, 1554, 3579, 3580, 6160, 1555, 3576, 3577, 6159, 3578, 6157, 6158, 0, 1556, 3572, 3573, 6156, 3574, 6154, 6155, 0, 3575, 6151, 6152, 0, 6153, 0, 0, 0, 494, 
-    1546, 1547, 3571, 1548, 3569, 3570, 6150, 1549, 3566, 3567, 6149, 3568, 6147, 6148, 0, 1550, 3562, 3563, 6146, 3564, 6144, 6145, 0, 3565, 6141, 6142, 0, 6143, 0, 0, 0, 1551, 
-    3557, 3558, 6140, 3559, 6138, 6139, 0, 3560, 6135, 6136, 0, 6137, 0, 0, 0, 3561, 6131, 6132, 0, 6133, 0, 0, 0, 6134, 0, 0, 0, 0, 0, 0, 0, 495, 
-    1539, 1540, 3556, 1541, 3554, 3555, 6130, 1542, 3551, 3552, 6129, 3553, 6127, 6128, 0, 1543, 3547, 3548, 6126, 3549, 6124, 6125, 0, 3550, 6121, 6122, 0, 6123, 0, 0, 0, 1544, 
-    3542, 3543, 6120, 3544, 6118, 6119, 0, 3545, 6115, 6116, 0, 6117, 0, 0, 0, 3546, 6111, 6112, 0, 6113, 0, 0, 0, 6114, 0, 0, 0, 0, 0, 0, 0, 1545, 
-    3536, 3537, 6110, 3538, 6108, 6109, 0, 3539, 6105, 6106, 0, 6107, 0, 0, 0, 3540, 6101, 6102, 0, 6103, 0, 0, 0, 6104, 0, 0, 0, 0, 0, 0, 0, 3541, 
-    6096, 6097, 0, 6098, 0, 0, 0, 6099, 0, 0, 0, 0, 0, 0, 0, 6100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 496, 
-    1531, 1532, 3535, 1533, 3533, 3534, 6095, 1534, 3530, 3531, 6094, 3532, 6092, 6093, 0, 1535, 3526, 3527, 6091, 3528, 6089, 6090, 0, 3529, 6086, 6087, 0, 6088, 0, 0, 0, 1536, 
-    3521, 3522, 6085, 3523, 6083, 6084, 0, 3524, 6080, 6081, 0, 6082, 0, 0, 0, 3525, 6076, 6077, 0, 6078, 0, 0, 0, 6079, 0, 0, 0, 0, 0, 0, 0, 1537, 
-    3515, 3516, 6075, 3517, 6073, 6074, 0, 3518, 6070, 6071, 0, 6072, 0, 0, 0, 3519, 6066, 6067, 0, 6068, 0, 0, 0, 6069, 0, 0, 0, 0, 0, 0, 0, 3520, 
-    6061, 6062, 0, 6063, 0, 0, 0, 6064, 0, 0, 0, 0, 0, 0, 0, 6065, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1538, 
-    3508, 3509, 6060, 3510, 6058, 6059, 0, 3511, 6055, 6056, 0, 6057, 0, 0, 0, 3512, 6051, 6052, 0, 6053, 0, 0, 0, 6054, 0, 0, 0, 0, 0, 0, 0, 3513, 
-    6046, 6047, 0, 6048, 0, 0, 0, 6049, 0, 0, 0, 0, 0, 0, 0, 6050, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3514, 
-    6040, 6041, 0, 6042, 0, 0, 0, 6043, 0, 0, 0, 0, 0, 0, 0, 6044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6045, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 115, 
-    478, 479, 1530, 480, 1528, 1529, 3507, 481, 1525, 1526, 3506, 1527, 3504, 3505, 6039, 482, 1521, 1522, 3503, 1523, 3501, 3502, 6038, 1524, 3498, 3499, 6037, 3500, 6035, 6036, 0, 483, 
-    1516, 1517, 3497, 1518, 3495, 3496, 6034, 1519, 3492, 3493, 6033, 3494, 6031, 6032, 0, 1520, 3488, 3489, 6030, 3490, 6028, 6029, 0, 3491, 6025, 6026, 0, 6027, 0, 0, 0, 484, 
-    1510, 1511, 3487, 1512, 3485, 3486, 6024, 1513, 3482, 3483, 6023, 3484, 6021, 6022, 0, 1514, 3478, 3479, 6020, 3480, 6018, 6019, 0, 3481, 6015, 6016, 0, 6017, 0, 0, 0, 1515, 
-    3473, 3474, 6014, 3475, 6012, 6013, 0, 3476, 6009, 6010, 0, 6011, 0, 0, 0, 3477, 6005, 6006, 0, 6007, 0, 0, 0, 6008, 0, 0, 0, 0, 0, 0, 0, 485, 
-    1503, 1504, 3472, 1505, 3470, 3471, 6004, 1506, 3467, 3468, 6003, 3469, 6001, 6002, 0, 1507, 3463, 3464, 6000, 3465, 5998, 5999, 0, 3466, 5995, 5996, 0, 5997, 0, 0, 0, 1508, 
-    3458, 3459, 5994, 3460, 5992, 5993, 0, 3461, 5989, 5990, 0, 5991, 0, 0, 0, 3462, 5985, 5986, 0, 5987, 0, 0, 0, 5988, 0, 0, 0, 0, 0, 0, 0, 1509, 
-    3452, 3453, 5984, 3454, 5982, 5983, 0, 3455, 5979, 5980, 0, 5981, 0, 0, 0, 3456, 5975, 5976, 0, 5977, 0, 0, 0, 5978, 0, 0, 0, 0, 0, 0, 0, 3457, 
-    5970, 5971, 0, 5972, 0, 0, 0, 5973, 0, 0, 0, 0, 0, 0, 0, 5974, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 486, 
-    1495, 1496, 3451, 1497, 3449, 3450, 5969, 1498, 3446, 3447, 5968, 3448, 5966, 5967, 0, 1499, 3442, 3443, 5965, 3444, 5963, 5964, 0, 3445, 5960, 5961, 0, 5962, 0, 0, 0, 1500, 
-    3437, 3438, 5959, 3439, 5957, 5958, 0, 3440, 5954, 5955, 0, 5956, 0, 0, 0, 3441, 5950, 5951, 0, 5952, 0, 0, 0, 5953, 0, 0, 0, 0, 0, 0, 0, 1501, 
-    3431, 3432, 5949, 3433, 5947, 5948, 0, 3434, 5944, 5945, 0, 5946, 0, 0, 0, 3435, 5940, 5941, 0, 5942, 0, 0, 0, 5943, 0, 0, 0, 0, 0, 0, 0, 3436, 
-    5935, 5936, 0, 5937, 0, 0, 0, 5938, 0, 0, 0, 0, 0, 0, 0, 5939, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1502, 
-    3424, 3425, 5934, 3426, 5932, 5933, 0, 3427, 5929, 5930, 0, 5931, 0, 0, 0, 3428, 5925, 5926, 0, 5927, 0, 0, 0, 5928, 0, 0, 0, 0, 0, 0, 0, 3429, 
-    5920, 5921, 0, 5922, 0, 0, 0, 5923, 0, 0, 0, 0, 0, 0, 0, 5924, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3430, 
-    5914, 5915, 0, 5916, 0, 0, 0, 5917, 0, 0, 0, 0, 0, 0, 0, 5918, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5919, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 487, 
-    1486, 1487, 3423, 1488, 3421, 3422, 5913, 1489, 3418, 3419, 5912, 3420, 5910, 5911, 0, 1490, 3414, 3415, 5909, 3416, 5907, 5908, 0, 3417, 5904, 5905, 0, 5906, 0, 0, 0, 1491, 
-    3409, 3410, 5903, 3411, 5901, 5902, 0, 3412, 5898, 5899, 0, 5900, 0, 0, 0, 3413, 5894, 5895, 0, 5896, 0, 0, 0, 5897, 0, 0, 0, 0, 0, 0, 0, 1492, 
-    3403, 3404, 5893, 3405, 5891, 5892, 0, 3406, 5888, 5889, 0, 5890, 0, 0, 0, 3407, 5884, 5885, 0, 5886, 0, 0, 0, 5887, 0, 0, 0, 0, 0, 0, 0, 3408, 
-    5879, 5880, 0, 5881, 0, 0, 0, 5882, 0, 0, 0, 0, 0, 0, 0, 5883, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1493, 
-    3396, 3397, 5878, 3398, 5876, 5877, 0, 3399, 5873, 5874, 0, 5875, 0, 0, 0, 3400, 5869, 5870, 0, 5871, 0, 0, 0, 5872, 0, 0, 0, 0, 0, 0, 0, 3401, 
-    5864, 5865, 0, 5866, 0, 0, 0, 5867, 0, 0, 0, 0, 0, 0, 0, 5868, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3402, 
-    5858, 5859, 0, 5860, 0, 0, 0, 5861, 0, 0, 0, 0, 0, 0, 0, 5862, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5863, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1494, 
-    3388, 3389, 5857, 3390, 5855, 5856, 0, 3391, 5852, 5853, 0, 5854, 0, 0, 0, 3392, 5848, 5849, 0, 5850, 0, 0, 0, 5851, 0, 0, 0, 0, 0, 0, 0, 3393, 
-    5843, 5844, 0, 5845, 0, 0, 0, 5846, 0, 0, 0, 0, 0, 0, 0, 5847, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3394, 
-    5837, 5838, 0, 5839, 0, 0, 0, 5840, 0, 0, 0, 0, 0, 0, 0, 5841, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5842, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3395, 
-    5830, 5831, 0, 5832, 0, 0, 0, 5833, 0, 0, 0, 0, 0, 0, 0, 5834, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5835, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5836, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 
-    467, 468, 1485, 469, 1483, 1484, 3387, 470, 1480, 1481, 3386, 1482, 3384, 3385, 5829, 471, 1476, 1477, 3383, 1478, 3381, 3382, 5828, 1479, 3378, 3379, 5827, 3380, 5825, 5826, 0, 472, 
-    1471, 1472, 3377, 1473, 3375, 3376, 5824, 1474, 3372, 3373, 5823, 3374, 5821, 5822, 0, 1475, 3368, 3369, 5820, 3370, 5818, 5819, 0, 3371, 5815, 5816, 0, 5817, 0, 0, 0, 473, 
-    1465, 1466, 3367, 1467, 3365, 3366, 5814, 1468, 3362, 3363, 5813, 3364, 5811, 5812, 0, 1469, 3358, 3359, 5810, 3360, 5808, 5809, 0, 3361, 5805, 5806, 0, 5807, 0, 0, 0, 1470, 
-    3353, 3354, 5804, 3355, 5802, 5803, 0, 3356, 5799, 5800, 0, 5801, 0, 0, 0, 3357, 5795, 5796, 0, 5797, 0, 0, 0, 5798, 0, 0, 0, 0, 0, 0, 0, 474, 
-    1458, 1459, 3352, 1460, 3350, 3351, 5794, 1461, 3347, 3348, 5793, 3349, 5791, 5792, 0, 1462, 3343, 3344, 5790, 3345, 5788, 5789, 0, 3346, 5785, 5786, 0, 5787, 0, 0, 0, 1463, 
-    3338, 3339, 5784, 3340, 5782, 5783, 0, 3341, 5779, 5780, 0, 5781, 0, 0, 0, 3342, 5775, 5776, 0, 5777, 0, 0, 0, 5778, 0, 0, 0, 0, 0, 0, 0, 1464, 
-    3332, 3333, 5774, 3334, 5772, 5773, 0, 3335, 5769, 5770, 0, 5771, 0, 0, 0, 3336, 5765, 5766, 0, 5767, 0, 0, 0, 5768, 0, 0, 0, 0, 0, 0, 0, 3337, 
-    5760, 5761, 0, 5762, 0, 0, 0, 5763, 0, 0, 0, 0, 0, 0, 0, 5764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 475, 
-    1450, 1451, 3331, 1452, 3329, 3330, 5759, 1453, 3326, 3327, 5758, 3328, 5756, 5757, 0, 1454, 3322, 3323, 5755, 3324, 5753, 5754, 0, 3325, 5750, 5751, 0, 5752, 0, 0, 0, 1455, 
-    3317, 3318, 5749, 3319, 5747, 5748, 0, 3320, 5744, 5745, 0, 5746, 0, 0, 0, 3321, 5740, 5741, 0, 5742, 0, 0, 0, 5743, 0, 0, 0, 0, 0, 0, 0, 1456, 
-    3311, 3312, 5739, 3313, 5737, 5738, 0, 3314, 5734, 5735, 0, 5736, 0, 0, 0, 3315, 5730, 5731, 0, 5732, 0, 0, 0, 5733, 0, 0, 0, 0, 0, 0, 0, 3316, 
-    5725, 5726, 0, 5727, 0, 0, 0, 5728, 0, 0, 0, 0, 0, 0, 0, 5729, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1457, 
-    3304, 3305, 5724, 3306, 5722, 5723, 0, 3307, 5719, 5720, 0, 5721, 0, 0, 0, 3308, 5715, 5716, 0, 5717, 0, 0, 0, 5718, 0, 0, 0, 0, 0, 0, 0, 3309, 
-    5710, 5711, 0, 5712, 0, 0, 0, 5713, 0, 0, 0, 0, 0, 0, 0, 5714, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3310, 
-    5704, 5705, 0, 5706, 0, 0, 0, 5707, 0, 0, 0, 0, 0, 0, 0, 5708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5709, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 476, 
-    1441, 1442, 3303, 1443, 3301, 3302, 5703, 1444, 3298, 3299, 5702, 3300, 5700, 5701, 0, 1445, 3294, 3295, 5699, 3296, 5697, 5698, 0, 3297, 5694, 5695, 0, 5696, 0, 0, 0, 1446, 
-    3289, 3290, 5693, 3291, 5691, 5692, 0, 3292, 5688, 5689, 0, 5690, 0, 0, 0, 3293, 5684, 5685, 0, 5686, 0, 0, 0, 5687, 0, 0, 0, 0, 0, 0, 0, 1447, 
-    3283, 3284, 5683, 3285, 5681, 5682, 0, 3286, 5678, 5679, 0, 5680, 0, 0, 0, 3287, 5674, 5675, 0, 5676, 0, 0, 0, 5677, 0, 0, 0, 0, 0, 0, 0, 3288, 
-    5669, 5670, 0, 5671, 0, 0, 0, 5672, 0, 0, 0, 0, 0, 0, 0, 5673, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1448, 
-    3276, 3277, 5668, 3278, 5666, 5667, 0, 3279, 5663, 5664, 0, 5665, 0, 0, 0, 3280, 5659, 5660, 0, 5661, 0, 0, 0, 5662, 0, 0, 0, 0, 0, 0, 0, 3281, 
-    5654, 5655, 0, 5656, 0, 0, 0, 5657, 0, 0, 0, 0, 0, 0, 0, 5658, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3282, 
-    5648, 5649, 0, 5650, 0, 0, 0, 5651, 0, 0, 0, 0, 0, 0, 0, 5652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5653, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1449, 
-    3268, 3269, 5647, 3270, 5645, 5646, 0, 3271, 5642, 5643, 0, 5644, 0, 0, 0, 3272, 5638, 5639, 0, 5640, 0, 0, 0, 5641, 0, 0, 0, 0, 0, 0, 0, 3273, 
-    5633, 5634, 0, 5635, 0, 0, 0, 5636, 0, 0, 0, 0, 0, 0, 0, 5637, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3274, 
-    5627, 5628, 0, 5629, 0, 0, 0, 5630, 0, 0, 0, 0, 0, 0, 0, 5631, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5632, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3275, 
-    5620, 5621, 0, 5622, 0, 0, 0, 5623, 0, 0, 0, 0, 0, 0, 0, 5624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5625, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5626, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 477, 
-    1431, 1432, 3267, 1433, 3265, 3266, 5619, 1434, 3262, 3263, 5618, 3264, 5616, 5617, 0, 1435, 3258, 3259, 5615, 3260, 5613, 5614, 0, 3261, 5610, 5611, 0, 5612, 0, 0, 0, 1436, 
-    3253, 3254, 5609, 3255, 5607, 5608, 0, 3256, 5604, 5605, 0, 5606, 0, 0, 0, 3257, 5600, 5601, 0, 5602, 0, 0, 0, 5603, 0, 0, 0, 0, 0, 0, 0, 1437, 
-    3247, 3248, 5599, 3249, 5597, 5598, 0, 3250, 5594, 5595, 0, 5596, 0, 0, 0, 3251, 5590, 5591, 0, 5592, 0, 0, 0, 5593, 0, 0, 0, 0, 0, 0, 0, 3252, 
-    5585, 5586, 0, 5587, 0, 0, 0, 5588, 0, 0, 0, 0, 0, 0, 0, 5589, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1438, 
-    3240, 3241, 5584, 3242, 5582, 5583, 0, 3243, 5579, 5580, 0, 5581, 0, 0, 0, 3244, 5575, 5576, 0, 5577, 0, 0, 0, 5578, 0, 0, 0, 0, 0, 0, 0, 3245, 
-    5570, 5571, 0, 5572, 0, 0, 0, 5573, 0, 0, 0, 0, 0, 0, 0, 5574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3246, 
-    5564, 5565, 0, 5566, 0, 0, 0, 5567, 0, 0, 0, 0, 0, 0, 0, 5568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5569, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1439, 
-    3232, 3233, 5563, 3234, 5561, 5562, 0, 3235, 5558, 5559, 0, 5560, 0, 0, 0, 3236, 5554, 5555, 0, 5556, 0, 0, 0, 5557, 0, 0, 0, 0, 0, 0, 0, 3237, 
-    5549, 5550, 0, 5551, 0, 0, 0, 5552, 0, 0, 0, 0, 0, 0, 0, 5553, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3238, 
-    5543, 5544, 0, 5545, 0, 0, 0, 5546, 0, 0, 0, 0, 0, 0, 0, 5547, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5548, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3239, 
-    5536, 5537, 0, 5538, 0, 0, 0, 5539, 0, 0, 0, 0, 0, 0, 0, 5540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5541, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5542, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1440, 
-    3223, 3224, 5535, 3225, 5533, 5534, 0, 3226, 5530, 5531, 0, 5532, 0, 0, 0, 3227, 5526, 5527, 0, 5528, 0, 0, 0, 5529, 0, 0, 0, 0, 0, 0, 0, 3228, 
-    5521, 5522, 0, 5523, 0, 0, 0, 5524, 0, 0, 0, 0, 0, 0, 0, 5525, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3229, 
-    5515, 5516, 0, 5517, 0, 0, 0, 5518, 0, 0, 0, 0, 0, 0, 0, 5519, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5520, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3230, 
-    5508, 5509, 0, 5510, 0, 0, 0, 5511, 0, 0, 0, 0, 0, 0, 0, 5512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5513, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5514, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3231, 
-    5500, 5501, 0, 5502, 0, 0, 0, 5503, 0, 0, 0, 0, 0, 0, 0, 5504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5505, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5506, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5507, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 117, 
-    455, 456, 1430, 457, 1428, 1429, 3222, 458, 1425, 1426, 3221, 1427, 3219, 3220, 5499, 459, 1421, 1422, 3218, 1423, 3216, 3217, 5498, 1424, 3213, 3214, 5497, 3215, 5495, 5496, 0, 460, 
-    1416, 1417, 3212, 1418, 3210, 3211, 5494, 1419, 3207, 3208, 5493, 3209, 5491, 5492, 0, 1420, 3203, 3204, 5490, 3205, 5488, 5489, 0, 3206, 5485, 5486, 0, 5487, 0, 0, 0, 461, 
-    1410, 1411, 3202, 1412, 3200, 3201, 5484, 1413, 3197, 3198, 5483, 3199, 5481, 5482, 0, 1414, 3193, 3194, 5480, 3195, 5478, 5479, 0, 3196, 5475, 5476, 0, 5477, 0, 0, 0, 1415, 
-    3188, 3189, 5474, 3190, 5472, 5473, 0, 3191, 5469, 5470, 0, 5471, 0, 0, 0, 3192, 5465, 5466, 0, 5467, 0, 0, 0, 5468, 0, 0, 0, 0, 0, 0, 0, 462, 
-    1403, 1404, 3187, 1405, 3185, 3186, 5464, 1406, 3182, 3183, 5463, 3184, 5461, 5462, 0, 1407, 3178, 3179, 5460, 3180, 5458, 5459, 0, 3181, 5455, 5456, 0, 5457, 0, 0, 0, 1408, 
-    3173, 3174, 5454, 3175, 5452, 5453, 0, 3176, 5449, 5450, 0, 5451, 0, 0, 0, 3177, 5445, 5446, 0, 5447, 0, 0, 0, 5448, 0, 0, 0, 0, 0, 0, 0, 1409, 
-    3167, 3168, 5444, 3169, 5442, 5443, 0, 3170, 5439, 5440, 0, 5441, 0, 0, 0, 3171, 5435, 5436, 0, 5437, 0, 0, 0, 5438, 0, 0, 0, 0, 0, 0, 0, 3172, 
-    5430, 5431, 0, 5432, 0, 0, 0, 5433, 0, 0, 0, 0, 0, 0, 0, 5434, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 463, 
-    1395, 1396, 3166, 1397, 3164, 3165, 5429, 1398, 3161, 3162, 5428, 3163, 5426, 5427, 0, 1399, 3157, 3158, 5425, 3159, 5423, 5424, 0, 3160, 5420, 5421, 0, 5422, 0, 0, 0, 1400, 
-    3152, 3153, 5419, 3154, 5417, 5418, 0, 3155, 5414, 5415, 0, 5416, 0, 0, 0, 3156, 5410, 5411, 0, 5412, 0, 0, 0, 5413, 0, 0, 0, 0, 0, 0, 0, 1401, 
-    3146, 3147, 5409, 3148, 5407, 5408, 0, 3149, 5404, 5405, 0, 5406, 0, 0, 0, 3150, 5400, 5401, 0, 5402, 0, 0, 0, 5403, 0, 0, 0, 0, 0, 0, 0, 3151, 
-    5395, 5396, 0, 5397, 0, 0, 0, 5398, 0, 0, 0, 0, 0, 0, 0, 5399, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1402, 
-    3139, 3140, 5394, 3141, 5392, 5393, 0, 3142, 5389, 5390, 0, 5391, 0, 0, 0, 3143, 5385, 5386, 0, 5387, 0, 0, 0, 5388, 0, 0, 0, 0, 0, 0, 0, 3144, 
-    5380, 5381, 0, 5382, 0, 0, 0, 5383, 0, 0, 0, 0, 0, 0, 0, 5384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3145, 
-    5374, 5375, 0, 5376, 0, 0, 0, 5377, 0, 0, 0, 0, 0, 0, 0, 5378, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5379, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 464, 
-    1386, 1387, 3138, 1388, 3136, 3137, 5373, 1389, 3133, 3134, 5372, 3135, 5370, 5371, 0, 1390, 3129, 3130, 5369, 3131, 5367, 5368, 0, 3132, 5364, 5365, 0, 5366, 0, 0, 0, 1391, 
-    3124, 3125, 5363, 3126, 5361, 5362, 0, 3127, 5358, 5359, 0, 5360, 0, 0, 0, 3128, 5354, 5355, 0, 5356, 0, 0, 0, 5357, 0, 0, 0, 0, 0, 0, 0, 1392, 
-    3118, 3119, 5353, 3120, 5351, 5352, 0, 3121, 5348, 5349, 0, 5350, 0, 0, 0, 3122, 5344, 5345, 0, 5346, 0, 0, 0, 5347, 0, 0, 0, 0, 0, 0, 0, 3123, 
-    5339, 5340, 0, 5341, 0, 0, 0, 5342, 0, 0, 0, 0, 0, 0, 0, 5343, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1393, 
-    3111, 3112, 5338, 3113, 5336, 5337, 0, 3114, 5333, 5334, 0, 5335, 0, 0, 0, 3115, 5329, 5330, 0, 5331, 0, 0, 0, 5332, 0, 0, 0, 0, 0, 0, 0, 3116, 
-    5324, 5325, 0, 5326, 0, 0, 0, 5327, 0, 0, 0, 0, 0, 0, 0, 5328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3117, 
-    5318, 5319, 0, 5320, 0, 0, 0, 5321, 0, 0, 0, 0, 0, 0, 0, 5322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5323, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1394, 
-    3103, 3104, 5317, 3105, 5315, 5316, 0, 3106, 5312, 5313, 0, 5314, 0, 0, 0, 3107, 5308, 5309, 0, 5310, 0, 0, 0, 5311, 0, 0, 0, 0, 0, 0, 0, 3108, 
-    5303, 5304, 0, 5305, 0, 0, 0, 5306, 0, 0, 0, 0, 0, 0, 0, 5307, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3109, 
-    5297, 5298, 0, 5299, 0, 0, 0, 5300, 0, 0, 0, 0, 0, 0, 0, 5301, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5302, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3110, 
-    5290, 5291, 0, 5292, 0, 0, 0, 5293, 0, 0, 0, 0, 0, 0, 0, 5294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5295, 
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-    3088, 3089, 5279, 3090, 5277, 5278, 0, 3091, 5274, 5275, 0, 5276, 0, 0, 0, 3092, 5270, 5271, 0, 5272, 0, 0, 0, 5273, 0, 0, 0, 0, 0, 0, 0, 1382, 
-    3082, 3083, 5269, 3084, 5267, 5268, 0, 3085, 5264, 5265, 0, 5266, 0, 0, 0, 3086, 5260, 5261, 0, 5262, 0, 0, 0, 5263, 0, 0, 0, 0, 0, 0, 0, 3087, 
-    5255, 5256, 0, 5257, 0, 0, 0, 5258, 0, 0, 0, 0, 0, 0, 0, 5259, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1383, 
-    3075, 3076, 5254, 3077, 5252, 5253, 0, 3078, 5249, 5250, 0, 5251, 0, 0, 0, 3079, 5245, 5246, 0, 5247, 0, 0, 0, 5248, 0, 0, 0, 0, 0, 0, 0, 3080, 
-    5240, 5241, 0, 5242, 0, 0, 0, 5243, 0, 0, 0, 0, 0, 0, 0, 5244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3081, 
-    5234, 5235, 0, 5236, 0, 0, 0, 5237, 0, 0, 0, 0, 0, 0, 0, 5238, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5239, 
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-    3067, 3068, 5233, 3069, 5231, 5232, 0, 3070, 5228, 5229, 0, 5230, 0, 0, 0, 3071, 5224, 5225, 0, 5226, 0, 0, 0, 5227, 0, 0, 0, 0, 0, 0, 0, 3072, 
-    5219, 5220, 0, 5221, 0, 0, 0, 5222, 0, 0, 0, 0, 0, 0, 0, 5223, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3073, 
-    5213, 5214, 0, 5215, 0, 0, 0, 5216, 0, 0, 0, 0, 0, 0, 0, 5217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5218, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3074, 
-    5206, 5207, 0, 5208, 0, 0, 0, 5209, 0, 0, 0, 0, 0, 0, 0, 5210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5211, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5212, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
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-    3058, 3059, 5205, 3060, 5203, 5204, 0, 3061, 5200, 5201, 0, 5202, 0, 0, 0, 3062, 5196, 5197, 0, 5198, 0, 0, 0, 5199, 0, 0, 0, 0, 0, 0, 0, 3063, 
-    5191, 5192, 0, 5193, 0, 0, 0, 5194, 0, 0, 0, 0, 0, 0, 0, 5195, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3064, 
-    5185, 5186, 0, 5187, 0, 0, 0, 5188, 0, 0, 0, 0, 0, 0, 0, 5189, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5190, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3065, 
-    5178, 5179, 0, 5180, 0, 0, 0, 5181, 0, 0, 0, 0, 0, 0, 0, 5182, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5183, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5184, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3066, 
-    5170, 5171, 0, 5172, 0, 0, 0, 5173, 0, 0, 0, 0, 0, 0, 0, 5174, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5175, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5176, 
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-    1365, 1366, 3057, 1367, 3055, 3056, 5169, 1368, 3052, 3053, 5168, 3054, 5166, 5167, 0, 1369, 3048, 3049, 5165, 3050, 5163, 5164, 0, 3051, 5160, 5161, 0, 5162, 0, 0, 0, 1370, 
-    3043, 3044, 5159, 3045, 5157, 5158, 0, 3046, 5154, 5155, 0, 5156, 0, 0, 0, 3047, 5150, 5151, 0, 5152, 0, 0, 0, 5153, 0, 0, 0, 0, 0, 0, 0, 1371, 
-    3037, 3038, 5149, 3039, 5147, 5148, 0, 3040, 5144, 5145, 0, 5146, 0, 0, 0, 3041, 5140, 5141, 0, 5142, 0, 0, 0, 5143, 0, 0, 0, 0, 0, 0, 0, 3042, 
-    5135, 5136, 0, 5137, 0, 0, 0, 5138, 0, 0, 0, 0, 0, 0, 0, 5139, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1372, 
-    3030, 3031, 5134, 3032, 5132, 5133, 0, 3033, 5129, 5130, 0, 5131, 0, 0, 0, 3034, 5125, 5126, 0, 5127, 0, 0, 0, 5128, 0, 0, 0, 0, 0, 0, 0, 3035, 
-    5120, 5121, 0, 5122, 0, 0, 0, 5123, 0, 0, 0, 0, 0, 0, 0, 5124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3036, 
-    5114, 5115, 0, 5116, 0, 0, 0, 5117, 0, 0, 0, 0, 0, 0, 0, 5118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5119, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1373, 
-    3022, 3023, 5113, 3024, 5111, 5112, 0, 3025, 5108, 5109, 0, 5110, 0, 0, 0, 3026, 5104, 5105, 0, 5106, 0, 0, 0, 5107, 0, 0, 0, 0, 0, 0, 0, 3027, 
-    5099, 5100, 0, 5101, 0, 0, 0, 5102, 0, 0, 0, 0, 0, 0, 0, 5103, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3028, 
-    5093, 5094, 0, 5095, 0, 0, 0, 5096, 0, 0, 0, 0, 0, 0, 0, 5097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5098, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3029, 
-    5086, 5087, 0, 5088, 0, 0, 0, 5089, 0, 0, 0, 0, 0, 0, 0, 5090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5091, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5092, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1374, 
-    3013, 3014, 5085, 3015, 5083, 5084, 0, 3016, 5080, 5081, 0, 5082, 0, 0, 0, 3017, 5076, 5077, 0, 5078, 0, 0, 0, 5079, 0, 0, 0, 0, 0, 0, 0, 3018, 
-    5071, 5072, 0, 5073, 0, 0, 0, 5074, 0, 0, 0, 0, 0, 0, 0, 5075, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3019, 
-    5065, 5066, 0, 5067, 0, 0, 0, 5068, 0, 0, 0, 0, 0, 0, 0, 5069, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5070, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3020, 
-    5058, 5059, 0, 5060, 0, 0, 0, 5061, 0, 0, 0, 0, 0, 0, 0, 5062, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5063, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5064, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3021, 
-    5050, 5051, 0, 5052, 0, 0, 0, 5053, 0, 0, 0, 0, 0, 0, 0, 5054, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5055, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5056, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5057, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1375, 
-    3003, 3004, 5049, 3005, 5047, 5048, 0, 3006, 5044, 5045, 0, 5046, 0, 0, 0, 3007, 5040, 5041, 0, 5042, 0, 0, 0, 5043, 0, 0, 0, 0, 0, 0, 0, 3008, 
-    5035, 5036, 0, 5037, 0, 0, 0, 5038, 0, 0, 0, 0, 0, 0, 0, 5039, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3009, 
-    5029, 5030, 0, 5031, 0, 0, 0, 5032, 0, 0, 0, 0, 0, 0, 0, 5033, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5034, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3010, 
-    5022, 5023, 0, 5024, 0, 0, 0, 5025, 0, 0, 0, 0, 0, 0, 0, 5026, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5027, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5028, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3011, 
-    5014, 5015, 0, 5016, 0, 0, 0, 5017, 0, 0, 0, 0, 0, 0, 0, 5018, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5019, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5020, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5021, 
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-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 
-    0, 1, 104, 2, 102, 103, 454, 3, 99, 100, 453, 101, 451, 452, 1364, 4, 95, 96, 450, 97, 448, 449, 1363, 98, 445, 446, 1362, 447, 1360, 1361, 3002, 5, 
-    90, 91, 444, 92, 442, 443, 1359, 93, 439, 440, 1358, 441, 1356, 1357, 3001, 94, 435, 436, 1355, 437, 1353, 1354, 3000, 438, 1350, 1351, 2999, 1352, 2997, 2998, 5004, 6, 
-    84, 85, 434, 86, 432, 433, 1349, 87, 429, 430, 1348, 431, 1346, 1347, 2996, 88, 425, 426, 1345, 427, 1343, 1344, 2995, 428, 1340, 1341, 2994, 1342, 2992, 2993, 5003, 89, 
-    420, 421, 1339, 422, 1337, 1338, 2991, 423, 1334, 1335, 2990, 1336, 2988, 2989, 5002, 424, 1330, 1331, 2987, 1332, 2985, 2986, 5001, 1333, 2982, 2983, 5000, 2984, 4998, 4999, 0, 7, 
-    77, 78, 419, 79, 417, 418, 1329, 80, 414, 415, 1328, 416, 1326, 1327, 2981, 81, 410, 411, 1325, 412, 1323, 1324, 2980, 413, 1320, 1321, 2979, 1322, 2977, 2978, 4997, 82, 
-    405, 406, 1319, 407, 1317, 1318, 2976, 408, 1314, 1315, 2975, 1316, 2973, 2974, 4996, 409, 1310, 1311, 2972, 1312, 2970, 2971, 4995, 1313, 2967, 2968, 4994, 2969, 4992, 4993, 0, 83, 
-    399, 400, 1309, 401, 1307, 1308, 2966, 402, 1304, 1305, 2965, 1306, 2963, 2964, 4991, 403, 1300, 1301, 2962, 1302, 2960, 2961, 4990, 1303, 2957, 2958, 4989, 2959, 4987, 4988, 0, 404, 
-    1295, 1296, 2956, 1297, 2954, 2955, 4986, 1298, 2951, 2952, 4985, 2953, 4983, 4984, 0, 1299, 2947, 2948, 4982, 2949, 4980, 4981, 0, 2950, 4977, 4978, 0, 4979, 0, 0, 0, 8, 
-    69, 70, 398, 71, 396, 397, 1294, 72, 393, 394, 1293, 395, 1291, 1292, 2946, 73, 389, 390, 1290, 391, 1288, 1289, 2945, 392, 1285, 1286, 2944, 1287, 2942, 2943, 4976, 74, 
-    384, 385, 1284, 386, 1282, 1283, 2941, 387, 1279, 1280, 2940, 1281, 2938, 2939, 4975, 388, 1275, 1276, 2937, 1277, 2935, 2936, 4974, 1278, 2932, 2933, 4973, 2934, 4971, 4972, 0, 75, 
-    378, 379, 1274, 380, 1272, 1273, 2931, 381, 1269, 1270, 2930, 1271, 2928, 2929, 4970, 382, 1265, 1266, 2927, 1267, 2925, 2926, 4969, 1268, 2922, 2923, 4968, 2924, 4966, 4967, 0, 383, 
-    1260, 1261, 2921, 1262, 2919, 2920, 4965, 1263, 2916, 2917, 4964, 2918, 4962, 4963, 0, 1264, 2912, 2913, 4961, 2914, 4959, 4960, 0, 2915, 4956, 4957, 0, 4958, 0, 0, 0, 76, 
-    371, 372, 1259, 373, 1257, 1258, 2911, 374, 1254, 1255, 2910, 1256, 2908, 2909, 4955, 375, 1250, 1251, 2907, 1252, 2905, 2906, 4954, 1253, 2902, 2903, 4953, 2904, 4951, 4952, 0, 376, 
-    1245, 1246, 2901, 1247, 2899, 2900, 4950, 1248, 2896, 2897, 4949, 2898, 4947, 4948, 0, 1249, 2892, 2893, 4946, 2894, 4944, 4945, 0, 2895, 4941, 4942, 0, 4943, 0, 0, 0, 377, 
-    1239, 1240, 2891, 1241, 2889, 2890, 4940, 1242, 2886, 2887, 4939, 2888, 4937, 4938, 0, 1243, 2882, 2883, 4936, 2884, 4934, 4935, 0, 2885, 4931, 4932, 0, 4933, 0, 0, 0, 1244, 
-    2877, 2878, 4930, 2879, 4928, 4929, 0, 2880, 4925, 4926, 0, 4927, 0, 0, 0, 2881, 4921, 4922, 0, 4923, 0, 0, 0, 4924, 0, 0, 0, 0, 0, 0, 0, 9, 
-    60, 61, 370, 62, 368, 369, 1238, 63, 365, 366, 1237, 367, 1235, 1236, 2876, 64, 361, 362, 1234, 363, 1232, 1233, 2875, 364, 1229, 1230, 2874, 1231, 2872, 2873, 4920, 65, 
-    356, 357, 1228, 358, 1226, 1227, 2871, 359, 1223, 1224, 2870, 1225, 2868, 2869, 4919, 360, 1219, 1220, 2867, 1221, 2865, 2866, 4918, 1222, 2862, 2863, 4917, 2864, 4915, 4916, 0, 66, 
-    350, 351, 1218, 352, 1216, 1217, 2861, 353, 1213, 1214, 2860, 1215, 2858, 2859, 4914, 354, 1209, 1210, 2857, 1211, 2855, 2856, 4913, 1212, 2852, 2853, 4912, 2854, 4910, 4911, 0, 355, 
-    1204, 1205, 2851, 1206, 2849, 2850, 4909, 1207, 2846, 2847, 4908, 2848, 4906, 4907, 0, 1208, 2842, 2843, 4905, 2844, 4903, 4904, 0, 2845, 4900, 4901, 0, 4902, 0, 0, 0, 67, 
-    343, 344, 1203, 345, 1201, 1202, 2841, 346, 1198, 1199, 2840, 1200, 2838, 2839, 4899, 347, 1194, 1195, 2837, 1196, 2835, 2836, 4898, 1197, 2832, 2833, 4897, 2834, 4895, 4896, 0, 348, 
-    1189, 1190, 2831, 1191, 2829, 2830, 4894, 1192, 2826, 2827, 4893, 2828, 4891, 4892, 0, 1193, 2822, 2823, 4890, 2824, 4888, 4889, 0, 2825, 4885, 4886, 0, 4887, 0, 0, 0, 349, 
-    1183, 1184, 2821, 1185, 2819, 2820, 4884, 1186, 2816, 2817, 4883, 2818, 4881, 4882, 0, 1187, 2812, 2813, 4880, 2814, 4878, 4879, 0, 2815, 4875, 4876, 0, 4877, 0, 0, 0, 1188, 
-    2807, 2808, 4874, 2809, 4872, 4873, 0, 2810, 4869, 4870, 0, 4871, 0, 0, 0, 2811, 4865, 4866, 0, 4867, 0, 0, 0, 4868, 0, 0, 0, 0, 0, 0, 0, 68, 
-    335, 336, 1182, 337, 1180, 1181, 2806, 338, 1177, 1178, 2805, 1179, 2803, 2804, 4864, 339, 1173, 1174, 2802, 1175, 2800, 2801, 4863, 1176, 2797, 2798, 4862, 2799, 4860, 4861, 0, 340, 
-    1168, 1169, 2796, 1170, 2794, 2795, 4859, 1171, 2791, 2792, 4858, 2793, 4856, 4857, 0, 1172, 2787, 2788, 4855, 2789, 4853, 4854, 0, 2790, 4850, 4851, 0, 4852, 0, 0, 0, 341, 
-    1162, 1163, 2786, 1164, 2784, 2785, 4849, 1165, 2781, 2782, 4848, 2783, 4846, 4847, 0, 1166, 2777, 2778, 4845, 2779, 4843, 4844, 0, 2780, 4840, 4841, 0, 4842, 0, 0, 0, 1167, 
-    2772, 2773, 4839, 2774, 4837, 4838, 0, 2775, 4834, 4835, 0, 4836, 0, 0, 0, 2776, 4830, 4831, 0, 4832, 0, 0, 0, 4833, 0, 0, 0, 0, 0, 0, 0, 342, 
-    1155, 1156, 2771, 1157, 2769, 2770, 4829, 1158, 2766, 2767, 4828, 2768, 4826, 4827, 0, 1159, 2762, 2763, 4825, 2764, 4823, 4824, 0, 2765, 4820, 4821, 0, 4822, 0, 0, 0, 1160, 
-    2757, 2758, 4819, 2759, 4817, 4818, 0, 2760, 4814, 4815, 0, 4816, 0, 0, 0, 2761, 4810, 4811, 0, 4812, 0, 0, 0, 4813, 0, 0, 0, 0, 0, 0, 0, 1161, 
-    2751, 2752, 4809, 2753, 4807, 4808, 0, 2754, 4804, 4805, 0, 4806, 0, 0, 0, 2755, 4800, 4801, 0, 4802, 0, 0, 0, 4803, 0, 0, 0, 0, 0, 0, 0, 2756, 
-    4795, 4796, 0, 4797, 0, 0, 0, 4798, 0, 0, 0, 0, 0, 0, 0, 4799, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
-    50, 51, 334, 52, 332, 333, 1154, 53, 329, 330, 1153, 331, 1151, 1152, 2750, 54, 325, 326, 1150, 327, 1148, 1149, 2749, 328, 1145, 1146, 2748, 1147, 2746, 2747, 4794, 55, 
-    320, 321, 1144, 322, 1142, 1143, 2745, 323, 1139, 1140, 2744, 1141, 2742, 2743, 4793, 324, 1135, 1136, 2741, 1137, 2739, 2740, 4792, 1138, 2736, 2737, 4791, 2738, 4789, 4790, 0, 56, 
-    314, 315, 1134, 316, 1132, 1133, 2735, 317, 1129, 1130, 2734, 1131, 2732, 2733, 4788, 318, 1125, 1126, 2731, 1127, 2729, 2730, 4787, 1128, 2726, 2727, 4786, 2728, 4784, 4785, 0, 319, 
-    1120, 1121, 2725, 1122, 2723, 2724, 4783, 1123, 2720, 2721, 4782, 2722, 4780, 4781, 0, 1124, 2716, 2717, 4779, 2718, 4777, 4778, 0, 2719, 4774, 4775, 0, 4776, 0, 0, 0, 57, 
-    307, 308, 1119, 309, 1117, 1118, 2715, 310, 1114, 1115, 2714, 1116, 2712, 2713, 4773, 311, 1110, 1111, 2711, 1112, 2709, 2710, 4772, 1113, 2706, 2707, 4771, 2708, 4769, 4770, 0, 312, 
-    1105, 1106, 2705, 1107, 2703, 2704, 4768, 1108, 2700, 2701, 4767, 2702, 4765, 4766, 0, 1109, 2696, 2697, 4764, 2698, 4762, 4763, 0, 2699, 4759, 4760, 0, 4761, 0, 0, 0, 313, 
-    1099, 1100, 2695, 1101, 2693, 2694, 4758, 1102, 2690, 2691, 4757, 2692, 4755, 4756, 0, 1103, 2686, 2687, 4754, 2688, 4752, 4753, 0, 2689, 4749, 4750, 0, 4751, 0, 0, 0, 1104, 
-    2681, 2682, 4748, 2683, 4746, 4747, 0, 2684, 4743, 4744, 0, 4745, 0, 0, 0, 2685, 4739, 4740, 0, 4741, 0, 0, 0, 4742, 0, 0, 0, 0, 0, 0, 0, 58, 
-    299, 300, 1098, 301, 1096, 1097, 2680, 302, 1093, 1094, 2679, 1095, 2677, 2678, 4738, 303, 1089, 1090, 2676, 1091, 2674, 2675, 4737, 1092, 2671, 2672, 4736, 2673, 4734, 4735, 0, 304, 
-    1084, 1085, 2670, 1086, 2668, 2669, 4733, 1087, 2665, 2666, 4732, 2667, 4730, 4731, 0, 1088, 2661, 2662, 4729, 2663, 4727, 4728, 0, 2664, 4724, 4725, 0, 4726, 0, 0, 0, 305, 
-    1078, 1079, 2660, 1080, 2658, 2659, 4723, 1081, 2655, 2656, 4722, 2657, 4720, 4721, 0, 1082, 2651, 2652, 4719, 2653, 4717, 4718, 0, 2654, 4714, 4715, 0, 4716, 0, 0, 0, 1083, 
-    2646, 2647, 4713, 2648, 4711, 4712, 0, 2649, 4708, 4709, 0, 4710, 0, 0, 0, 2650, 4704, 4705, 0, 4706, 0, 0, 0, 4707, 0, 0, 0, 0, 0, 0, 0, 306, 
-    1071, 1072, 2645, 1073, 2643, 2644, 4703, 1074, 2640, 2641, 4702, 2642, 4700, 4701, 0, 1075, 2636, 2637, 4699, 2638, 4697, 4698, 0, 2639, 4694, 4695, 0, 4696, 0, 0, 0, 1076, 
-    2631, 2632, 4693, 2633, 4691, 4692, 0, 2634, 4688, 4689, 0, 4690, 0, 0, 0, 2635, 4684, 4685, 0, 4686, 0, 0, 0, 4687, 0, 0, 0, 0, 0, 0, 0, 1077, 
-    2625, 2626, 4683, 2627, 4681, 4682, 0, 2628, 4678, 4679, 0, 4680, 0, 0, 0, 2629, 4674, 4675, 0, 4676, 0, 0, 0, 4677, 0, 0, 0, 0, 0, 0, 0, 2630, 
-    4669, 4670, 0, 4671, 0, 0, 0, 4672, 0, 0, 0, 0, 0, 0, 0, 4673, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59, 
-    290, 291, 1070, 292, 1068, 1069, 2624, 293, 1065, 1066, 2623, 1067, 2621, 2622, 4668, 294, 1061, 1062, 2620, 1063, 2618, 2619, 4667, 1064, 2615, 2616, 4666, 2617, 4664, 4665, 0, 295, 
-    1056, 1057, 2614, 1058, 2612, 2613, 4663, 1059, 2609, 2610, 4662, 2611, 4660, 4661, 0, 1060, 2605, 2606, 4659, 2607, 4657, 4658, 0, 2608, 4654, 4655, 0, 4656, 0, 0, 0, 296, 
-    1050, 1051, 2604, 1052, 2602, 2603, 4653, 1053, 2599, 2600, 4652, 2601, 4650, 4651, 0, 1054, 2595, 2596, 4649, 2597, 4647, 4648, 0, 2598, 4644, 4645, 0, 4646, 0, 0, 0, 1055, 
-    2590, 2591, 4643, 2592, 4641, 4642, 0, 2593, 4638, 4639, 0, 4640, 0, 0, 0, 2594, 4634, 4635, 0, 4636, 0, 0, 0, 4637, 0, 0, 0, 0, 0, 0, 0, 297, 
-    1043, 1044, 2589, 1045, 2587, 2588, 4633, 1046, 2584, 2585, 4632, 2586, 4630, 4631, 0, 1047, 2580, 2581, 4629, 2582, 4627, 4628, 0, 2583, 4624, 4625, 0, 4626, 0, 0, 0, 1048, 
-    2575, 2576, 4623, 2577, 4621, 4622, 0, 2578, 4618, 4619, 0, 4620, 0, 0, 0, 2579, 4614, 4615, 0, 4616, 0, 0, 0, 4617, 0, 0, 0, 0, 0, 0, 0, 1049, 
-    2569, 2570, 4613, 2571, 4611, 4612, 0, 2572, 4608, 4609, 0, 4610, 0, 0, 0, 2573, 4604, 4605, 0, 4606, 0, 0, 0, 4607, 0, 0, 0, 0, 0, 0, 0, 2574, 
-    4599, 4600, 0, 4601, 0, 0, 0, 4602, 0, 0, 0, 0, 0, 0, 0, 4603, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 298, 
-    1035, 1036, 2568, 1037, 2566, 2567, 4598, 1038, 2563, 2564, 4597, 2565, 4595, 4596, 0, 1039, 2559, 2560, 4594, 2561, 4592, 4593, 0, 2562, 4589, 4590, 0, 4591, 0, 0, 0, 1040, 
-    2554, 2555, 4588, 2556, 4586, 4587, 0, 2557, 4583, 4584, 0, 4585, 0, 0, 0, 2558, 4579, 4580, 0, 4581, 0, 0, 0, 4582, 0, 0, 0, 0, 0, 0, 0, 1041, 
-    2548, 2549, 4578, 2550, 4576, 4577, 0, 2551, 4573, 4574, 0, 4575, 0, 0, 0, 2552, 4569, 4570, 0, 4571, 0, 0, 0, 4572, 0, 0, 0, 0, 0, 0, 0, 2553, 
-    4564, 4565, 0, 4566, 0, 0, 0, 4567, 0, 0, 0, 0, 0, 0, 0, 4568, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1042, 
-    2541, 2542, 4563, 2543, 4561, 4562, 0, 2544, 4558, 4559, 0, 4560, 0, 0, 0, 2545, 4554, 4555, 0, 4556, 0, 0, 0, 4557, 0, 0, 0, 0, 0, 0, 0, 2546, 
-    4549, 4550, 0, 4551, 0, 0, 0, 4552, 0, 0, 0, 0, 0, 0, 0, 4553, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2547, 
-    4543, 4544, 0, 4545, 0, 0, 0, 4546, 0, 0, 0, 0, 0, 0, 0, 4547, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4548, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 
-    39, 40, 289, 41, 287, 288, 1034, 42, 284, 285, 1033, 286, 1031, 1032, 2540, 43, 280, 281, 1030, 282, 1028, 1029, 2539, 283, 1025, 1026, 2538, 1027, 2536, 2537, 4542, 44, 
-    275, 276, 1024, 277, 1022, 1023, 2535, 278, 1019, 1020, 2534, 1021, 2532, 2533, 4541, 279, 1015, 1016, 2531, 1017, 2529, 2530, 4540, 1018, 2526, 2527, 4539, 2528, 4537, 4538, 0, 45, 
-    269, 270, 1014, 271, 1012, 1013, 2525, 272, 1009, 1010, 2524, 1011, 2522, 2523, 4536, 273, 1005, 1006, 2521, 1007, 2519, 2520, 4535, 1008, 2516, 2517, 4534, 2518, 4532, 4533, 0, 274, 
-    1000, 1001, 2515, 1002, 2513, 2514, 4531, 1003, 2510, 2511, 4530, 2512, 4528, 4529, 0, 1004, 2506, 2507, 4527, 2508, 4525, 4526, 0, 2509, 4522, 4523, 0, 4524, 0, 0, 0, 46, 
-    262, 263, 999, 264, 997, 998, 2505, 265, 994, 995, 2504, 996, 2502, 2503, 4521, 266, 990, 991, 2501, 992, 2499, 2500, 4520, 993, 2496, 2497, 4519, 2498, 4517, 4518, 0, 267, 
-    985, 986, 2495, 987, 2493, 2494, 4516, 988, 2490, 2491, 4515, 2492, 4513, 4514, 0, 989, 2486, 2487, 4512, 2488, 4510, 4511, 0, 2489, 4507, 4508, 0, 4509, 0, 0, 0, 268, 
-    979, 980, 2485, 981, 2483, 2484, 4506, 982, 2480, 2481, 4505, 2482, 4503, 4504, 0, 983, 2476, 2477, 4502, 2478, 4500, 4501, 0, 2479, 4497, 4498, 0, 4499, 0, 0, 0, 984, 
-    2471, 2472, 4496, 2473, 4494, 4495, 0, 2474, 4491, 4492, 0, 4493, 0, 0, 0, 2475, 4487, 4488, 0, 4489, 0, 0, 0, 4490, 0, 0, 0, 0, 0, 0, 0, 47, 
-    254, 255, 978, 256, 976, 977, 2470, 257, 973, 974, 2469, 975, 2467, 2468, 4486, 258, 969, 970, 2466, 971, 2464, 2465, 4485, 972, 2461, 2462, 4484, 2463, 4482, 4483, 0, 259, 
-    964, 965, 2460, 966, 2458, 2459, 4481, 967, 2455, 2456, 4480, 2457, 4478, 4479, 0, 968, 2451, 2452, 4477, 2453, 4475, 4476, 0, 2454, 4472, 4473, 0, 4474, 0, 0, 0, 260, 
-    958, 959, 2450, 960, 2448, 2449, 4471, 961, 2445, 2446, 4470, 2447, 4468, 4469, 0, 962, 2441, 2442, 4467, 2443, 4465, 4466, 0, 2444, 4462, 4463, 0, 4464, 0, 0, 0, 963, 
-    2436, 2437, 4461, 2438, 4459, 4460, 0, 2439, 4456, 4457, 0, 4458, 0, 0, 0, 2440, 4452, 4453, 0, 4454, 0, 0, 0, 4455, 0, 0, 0, 0, 0, 0, 0, 261, 
-    951, 952, 2435, 953, 2433, 2434, 4451, 954, 2430, 2431, 4450, 2432, 4448, 4449, 0, 955, 2426, 2427, 4447, 2428, 4445, 4446, 0, 2429, 4442, 4443, 0, 4444, 0, 0, 0, 956, 
-    2421, 2422, 4441, 2423, 4439, 4440, 0, 2424, 4436, 4437, 0, 4438, 0, 0, 0, 2425, 4432, 4433, 0, 4434, 0, 0, 0, 4435, 0, 0, 0, 0, 0, 0, 0, 957, 
-    2415, 2416, 4431, 2417, 4429, 4430, 0, 2418, 4426, 4427, 0, 4428, 0, 0, 0, 2419, 4422, 4423, 0, 4424, 0, 0, 0, 4425, 0, 0, 0, 0, 0, 0, 0, 2420, 
-    4417, 4418, 0, 4419, 0, 0, 0, 4420, 0, 0, 0, 0, 0, 0, 0, 4421, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 
-    245, 246, 950, 247, 948, 949, 2414, 248, 945, 946, 2413, 947, 2411, 2412, 4416, 249, 941, 942, 2410, 943, 2408, 2409, 4415, 944, 2405, 2406, 4414, 2407, 4412, 4413, 0, 250, 
-    936, 937, 2404, 938, 2402, 2403, 4411, 939, 2399, 2400, 4410, 2401, 4408, 4409, 0, 940, 2395, 2396, 4407, 2397, 4405, 4406, 0, 2398, 4402, 4403, 0, 4404, 0, 0, 0, 251, 
-    930, 931, 2394, 932, 2392, 2393, 4401, 933, 2389, 2390, 4400, 2391, 4398, 4399, 0, 934, 2385, 2386, 4397, 2387, 4395, 4396, 0, 2388, 4392, 4393, 0, 4394, 0, 0, 0, 935, 
-    2380, 2381, 4391, 2382, 4389, 4390, 0, 2383, 4386, 4387, 0, 4388, 0, 0, 0, 2384, 4382, 4383, 0, 4384, 0, 0, 0, 4385, 0, 0, 0, 0, 0, 0, 0, 252, 
-    923, 924, 2379, 925, 2377, 2378, 4381, 926, 2374, 2375, 4380, 2376, 4378, 4379, 0, 927, 2370, 2371, 4377, 2372, 4375, 4376, 0, 2373, 4372, 4373, 0, 4374, 0, 0, 0, 928, 
-    2365, 2366, 4371, 2367, 4369, 4370, 0, 2368, 4366, 4367, 0, 4368, 0, 0, 0, 2369, 4362, 4363, 0, 4364, 0, 0, 0, 4365, 0, 0, 0, 0, 0, 0, 0, 929, 
-    2359, 2360, 4361, 2361, 4359, 4360, 0, 2362, 4356, 4357, 0, 4358, 0, 0, 0, 2363, 4352, 4353, 0, 4354, 0, 0, 0, 4355, 0, 0, 0, 0, 0, 0, 0, 2364, 
-    4347, 4348, 0, 4349, 0, 0, 0, 4350, 0, 0, 0, 0, 0, 0, 0, 4351, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 253, 
-    915, 916, 2358, 917, 2356, 2357, 4346, 918, 2353, 2354, 4345, 2355, 4343, 4344, 0, 919, 2349, 2350, 4342, 2351, 4340, 4341, 0, 2352, 4337, 4338, 0, 4339, 0, 0, 0, 920, 
-    2344, 2345, 4336, 2346, 4334, 4335, 0, 2347, 4331, 4332, 0, 4333, 0, 0, 0, 2348, 4327, 4328, 0, 4329, 0, 0, 0, 4330, 0, 0, 0, 0, 0, 0, 0, 921, 
-    2338, 2339, 4326, 2340, 4324, 4325, 0, 2341, 4321, 4322, 0, 4323, 0, 0, 0, 2342, 4317, 4318, 0, 4319, 0, 0, 0, 4320, 0, 0, 0, 0, 0, 0, 0, 2343, 
-    4312, 4313, 0, 4314, 0, 0, 0, 4315, 0, 0, 0, 0, 0, 0, 0, 4316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 922, 
-    2331, 2332, 4311, 2333, 4309, 4310, 0, 2334, 4306, 4307, 0, 4308, 0, 0, 0, 2335, 4302, 4303, 0, 4304, 0, 0, 0, 4305, 0, 0, 0, 0, 0, 0, 0, 2336, 
-    4297, 4298, 0, 4299, 0, 0, 0, 4300, 0, 0, 0, 0, 0, 0, 0, 4301, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2337, 
-    4291, 4292, 0, 4293, 0, 0, 0, 4294, 0, 0, 0, 0, 0, 0, 0, 4295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4296, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49, 
-    235, 236, 914, 237, 912, 913, 2330, 238, 909, 910, 2329, 911, 2327, 2328, 4290, 239, 905, 906, 2326, 907, 2324, 2325, 4289, 908, 2321, 2322, 4288, 2323, 4286, 4287, 0, 240, 
-    900, 901, 2320, 902, 2318, 2319, 4285, 903, 2315, 2316, 4284, 2317, 4282, 4283, 0, 904, 2311, 2312, 4281, 2313, 4279, 4280, 0, 2314, 4276, 4277, 0, 4278, 0, 0, 0, 241, 
-    894, 895, 2310, 896, 2308, 2309, 4275, 897, 2305, 2306, 4274, 2307, 4272, 4273, 0, 898, 2301, 2302, 4271, 2303, 4269, 4270, 0, 2304, 4266, 4267, 0, 4268, 0, 0, 0, 899, 
-    2296, 2297, 4265, 2298, 4263, 4264, 0, 2299, 4260, 4261, 0, 4262, 0, 0, 0, 2300, 4256, 4257, 0, 4258, 0, 0, 0, 4259, 0, 0, 0, 0, 0, 0, 0, 242, 
-    887, 888, 2295, 889, 2293, 2294, 4255, 890, 2290, 2291, 4254, 2292, 4252, 4253, 0, 891, 2286, 2287, 4251, 2288, 4249, 4250, 0, 2289, 4246, 4247, 0, 4248, 0, 0, 0, 892, 
-    2281, 2282, 4245, 2283, 4243, 4244, 0, 2284, 4240, 4241, 0, 4242, 0, 0, 0, 2285, 4236, 4237, 0, 4238, 0, 0, 0, 4239, 0, 0, 0, 0, 0, 0, 0, 893, 
-    2275, 2276, 4235, 2277, 4233, 4234, 0, 2278, 4230, 4231, 0, 4232, 0, 0, 0, 2279, 4226, 4227, 0, 4228, 0, 0, 0, 4229, 0, 0, 0, 0, 0, 0, 0, 2280, 
-    4221, 4222, 0, 4223, 0, 0, 0, 4224, 0, 0, 0, 0, 0, 0, 0, 4225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 243, 
-    879, 880, 2274, 881, 2272, 2273, 4220, 882, 2269, 2270, 4219, 2271, 4217, 4218, 0, 883, 2265, 2266, 4216, 2267, 4214, 4215, 0, 2268, 4211, 4212, 0, 4213, 0, 0, 0, 884, 
-    2260, 2261, 4210, 2262, 4208, 4209, 0, 2263, 4205, 4206, 0, 4207, 0, 0, 0, 2264, 4201, 4202, 0, 4203, 0, 0, 0, 4204, 0, 0, 0, 0, 0, 0, 0, 885, 
-    2254, 2255, 4200, 2256, 4198, 4199, 0, 2257, 4195, 4196, 0, 4197, 0, 0, 0, 2258, 4191, 4192, 0, 4193, 0, 0, 0, 4194, 0, 0, 0, 0, 0, 0, 0, 2259, 
-    4186, 4187, 0, 4188, 0, 0, 0, 4189, 0, 0, 0, 0, 0, 0, 0, 4190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 886, 
-    2247, 2248, 4185, 2249, 4183, 4184, 0, 2250, 4180, 4181, 0, 4182, 0, 0, 0, 2251, 4176, 4177, 0, 4178, 0, 0, 0, 4179, 0, 0, 0, 0, 0, 0, 0, 2252, 
-    4171, 4172, 0, 4173, 0, 0, 0, 4174, 0, 0, 0, 0, 0, 0, 0, 4175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2253, 
-    4165, 4166, 0, 4167, 0, 0, 0, 4168, 0, 0, 0, 0, 0, 0, 0, 4169, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4170, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 244, 
-    870, 871, 2246, 872, 2244, 2245, 4164, 873, 2241, 2242, 4163, 2243, 4161, 4162, 0, 874, 2237, 2238, 4160, 2239, 4158, 4159, 0, 2240, 4155, 4156, 0, 4157, 0, 0, 0, 875, 
-    2232, 2233, 4154, 2234, 4152, 4153, 0, 2235, 4149, 4150, 0, 4151, 0, 0, 0, 2236, 4145, 4146, 0, 4147, 0, 0, 0, 4148, 0, 0, 0, 0, 0, 0, 0, 876, 
-    2226, 2227, 4144, 2228, 4142, 4143, 0, 2229, 4139, 4140, 0, 4141, 0, 0, 0, 2230, 4135, 4136, 0, 4137, 0, 0, 0, 4138, 0, 0, 0, 0, 0, 0, 0, 2231, 
-    4130, 4131, 0, 4132, 0, 0, 0, 4133, 0, 0, 0, 0, 0, 0, 0, 4134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 877, 
-    2219, 2220, 4129, 2221, 4127, 4128, 0, 2222, 4124, 4125, 0, 4126, 0, 0, 0, 2223, 4120, 4121, 0, 4122, 0, 0, 0, 4123, 0, 0, 0, 0, 0, 0, 0, 2224, 
-    4115, 4116, 0, 4117, 0, 0, 0, 4118, 0, 0, 0, 0, 0, 0, 0, 4119, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2225, 
-    4109, 4110, 0, 4111, 0, 0, 0, 4112, 0, 0, 0, 0, 0, 0, 0, 4113, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4114, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 878, 
-    2211, 2212, 4108, 2213, 4106, 4107, 0, 2214, 4103, 4104, 0, 4105, 0, 0, 0, 2215, 4099, 4100, 0, 4101, 0, 0, 0, 4102, 0, 0, 0, 0, 0, 0, 0, 2216, 
-    4094, 4095, 0, 4096, 0, 0, 0, 4097, 0, 0, 0, 0, 0, 0, 0, 4098, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2217, 
-    4088, 4089, 0, 4090, 0, 0, 0, 4091, 0, 0, 0, 0, 0, 0, 0, 4092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4093, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2218, 
-    4081, 4082, 0, 4083, 0, 0, 0, 4084, 0, 0, 0, 0, 0, 0, 0, 4085, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4086, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4087, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 
-    27, 28, 234, 29, 232, 233, 869, 30, 229, 230, 868, 231, 866, 867, 2210, 31, 225, 226, 865, 227, 863, 864, 2209, 228, 860, 861, 2208, 862, 2206, 2207, 4080, 32, 
-    220, 221, 859, 222, 857, 858, 2205, 223, 854, 855, 2204, 856, 2202, 2203, 4079, 224, 850, 851, 2201, 852, 2199, 2200, 4078, 853, 2196, 2197, 4077, 2198, 4075, 4076, 0, 33, 
-    214, 215, 849, 216, 847, 848, 2195, 217, 844, 845, 2194, 846, 2192, 2193, 4074, 218, 840, 841, 2191, 842, 2189, 2190, 4073, 843, 2186, 2187, 4072, 2188, 4070, 4071, 0, 219, 
-    835, 836, 2185, 837, 2183, 2184, 4069, 838, 2180, 2181, 4068, 2182, 4066, 4067, 0, 839, 2176, 2177, 4065, 2178, 4063, 4064, 0, 2179, 4060, 4061, 0, 4062, 0, 0, 0, 34, 
-    207, 208, 834, 209, 832, 833, 2175, 210, 829, 830, 2174, 831, 2172, 2173, 4059, 211, 825, 826, 2171, 827, 2169, 2170, 4058, 828, 2166, 2167, 4057, 2168, 4055, 4056, 0, 212, 
-    820, 821, 2165, 822, 2163, 2164, 4054, 823, 2160, 2161, 4053, 2162, 4051, 4052, 0, 824, 2156, 2157, 4050, 2158, 4048, 4049, 0, 2159, 4045, 4046, 0, 4047, 0, 0, 0, 213, 
-    814, 815, 2155, 816, 2153, 2154, 4044, 817, 2150, 2151, 4043, 2152, 4041, 4042, 0, 818, 2146, 2147, 4040, 2148, 4038, 4039, 0, 2149, 4035, 4036, 0, 4037, 0, 0, 0, 819, 
-    2141, 2142, 4034, 2143, 4032, 4033, 0, 2144, 4029, 4030, 0, 4031, 0, 0, 0, 2145, 4025, 4026, 0, 4027, 0, 0, 0, 4028, 0, 0, 0, 0, 0, 0, 0, 35, 
-    199, 200, 813, 201, 811, 812, 2140, 202, 808, 809, 2139, 810, 2137, 2138, 4024, 203, 804, 805, 2136, 806, 2134, 2135, 4023, 807, 2131, 2132, 4022, 2133, 4020, 4021, 0, 204, 
-    799, 800, 2130, 801, 2128, 2129, 4019, 802, 2125, 2126, 4018, 2127, 4016, 4017, 0, 803, 2121, 2122, 4015, 2123, 4013, 4014, 0, 2124, 4010, 4011, 0, 4012, 0, 0, 0, 205, 
-    793, 794, 2120, 795, 2118, 2119, 4009, 796, 2115, 2116, 4008, 2117, 4006, 4007, 0, 797, 2111, 2112, 4005, 2113, 4003, 4004, 0, 2114, 4000, 4001, 0, 4002, 0, 0, 0, 798, 
-    2106, 2107, 3999, 2108, 3997, 3998, 0, 2109, 3994, 3995, 0, 3996, 0, 0, 0, 2110, 3990, 3991, 0, 3992, 0, 0, 0, 3993, 0, 0, 0, 0, 0, 0, 0, 206, 
-    786, 787, 2105, 788, 2103, 2104, 3989, 789, 2100, 2101, 3988, 2102, 3986, 3987, 0, 790, 2096, 2097, 3985, 2098, 3983, 3984, 0, 2099, 3980, 3981, 0, 3982, 0, 0, 0, 791, 
-    2091, 2092, 3979, 2093, 3977, 3978, 0, 2094, 3974, 3975, 0, 3976, 0, 0, 0, 2095, 3970, 3971, 0, 3972, 0, 0, 0, 3973, 0, 0, 0, 0, 0, 0, 0, 792, 
-    2085, 2086, 3969, 2087, 3967, 3968, 0, 2088, 3964, 3965, 0, 3966, 0, 0, 0, 2089, 3960, 3961, 0, 3962, 0, 0, 0, 3963, 0, 0, 0, 0, 0, 0, 0, 2090, 
-    3955, 3956, 0, 3957, 0, 0, 0, 3958, 0, 0, 0, 0, 0, 0, 0, 3959, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 
-    190, 191, 785, 192, 783, 784, 2084, 193, 780, 781, 2083, 782, 2081, 2082, 3954, 194, 776, 777, 2080, 778, 2078, 2079, 3953, 779, 2075, 2076, 3952, 2077, 3950, 3951, 0, 195, 
-    771, 772, 2074, 773, 2072, 2073, 3949, 774, 2069, 2070, 3948, 2071, 3946, 3947, 0, 775, 2065, 2066, 3945, 2067, 3943, 3944, 0, 2068, 3940, 3941, 0, 3942, 0, 0, 0, 196, 
-    765, 766, 2064, 767, 2062, 2063, 3939, 768, 2059, 2060, 3938, 2061, 3936, 3937, 0, 769, 2055, 2056, 3935, 2057, 3933, 3934, 0, 2058, 3930, 3931, 0, 3932, 0, 0, 0, 770, 
-    2050, 2051, 3929, 2052, 3927, 3928, 0, 2053, 3924, 3925, 0, 3926, 0, 0, 0, 2054, 3920, 3921, 0, 3922, 0, 0, 0, 3923, 0, 0, 0, 0, 0, 0, 0, 197, 
-    758, 759, 2049, 760, 2047, 2048, 3919, 761, 2044, 2045, 3918, 2046, 3916, 3917, 0, 762, 2040, 2041, 3915, 2042, 3913, 3914, 0, 2043, 3910, 3911, 0, 3912, 0, 0, 0, 763, 
-    2035, 2036, 3909, 2037, 3907, 3908, 0, 2038, 3904, 3905, 0, 3906, 0, 0, 0, 2039, 3900, 3901, 0, 3902, 0, 0, 0, 3903, 0, 0, 0, 0, 0, 0, 0, 764, 
-    2029, 2030, 3899, 2031, 3897, 3898, 0, 2032, 3894, 3895, 0, 3896, 0, 0, 0, 2033, 3890, 3891, 0, 3892, 0, 0, 0, 3893, 0, 0, 0, 0, 0, 0, 0, 2034, 
-    3885, 3886, 0, 3887, 0, 0, 0, 3888, 0, 0, 0, 0, 0, 0, 0, 3889, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 198, 
-    750, 751, 2028, 752, 2026, 2027, 3884, 753, 2023, 2024, 3883, 2025, 3881, 3882, 0, 754, 2019, 2020, 3880, 2021, 3878, 3879, 0, 2022, 3875, 3876, 0, 3877, 0, 0, 0, 755, 
-    2014, 2015, 3874, 2016, 3872, 3873, 0, 2017, 3869, 3870, 0, 3871, 0, 0, 0, 2018, 3865, 3866, 0, 3867, 0, 0, 0, 3868, 0, 0, 0, 0, 0, 0, 0, 756, 
-    2008, 2009, 3864, 2010, 3862, 3863, 0, 2011, 3859, 3860, 0, 3861, 0, 0, 0, 2012, 3855, 3856, 0, 3857, 0, 0, 0, 3858, 0, 0, 0, 0, 0, 0, 0, 2013, 
-    3850, 3851, 0, 3852, 0, 0, 0, 3853, 0, 0, 0, 0, 0, 0, 0, 3854, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 757, 
-    2001, 2002, 3849, 2003, 3847, 3848, 0, 2004, 3844, 3845, 0, 3846, 0, 0, 0, 2005, 3840, 3841, 0, 3842, 0, 0, 0, 3843, 0, 0, 0, 0, 0, 0, 0, 2006, 
-    3835, 3836, 0, 3837, 0, 0, 0, 3838, 0, 0, 0, 0, 0, 0, 0, 3839, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2007, 
-    3829, 3830, 0, 3831, 0, 0, 0, 3832, 0, 0, 0, 0, 0, 0, 0, 3833, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3834, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37, 
-    180, 181, 749, 182, 747, 748, 2000, 183, 744, 745, 1999, 746, 1997, 1998, 3828, 184, 740, 741, 1996, 742, 1994, 1995, 3827, 743, 1991, 1992, 3826, 1993, 3824, 3825, 0, 185, 
-    735, 736, 1990, 737, 1988, 1989, 3823, 738, 1985, 1986, 3822, 1987, 3820, 3821, 0, 739, 1981, 1982, 3819, 1983, 3817, 3818, 0, 1984, 3814, 3815, 0, 3816, 0, 0, 0, 186, 
-    729, 730, 1980, 731, 1978, 1979, 3813, 732, 1975, 1976, 3812, 1977, 3810, 3811, 0, 733, 1971, 1972, 3809, 1973, 3807, 3808, 0, 1974, 3804, 3805, 0, 3806, 0, 0, 0, 734, 
-    1966, 1967, 3803, 1968, 3801, 3802, 0, 1969, 3798, 3799, 0, 3800, 0, 0, 0, 1970, 3794, 3795, 0, 3796, 0, 0, 0, 3797, 0, 0, 0, 0, 0, 0, 0, 187, 
-    722, 723, 1965, 724, 1963, 1964, 3793, 725, 1960, 1961, 3792, 1962, 3790, 3791, 0, 726, 1956, 1957, 3789, 1958, 3787, 3788, 0, 1959, 3784, 3785, 0, 3786, 0, 0, 0, 727, 
-    1951, 1952, 3783, 1953, 3781, 3782, 0, 1954, 3778, 3779, 0, 3780, 0, 0, 0, 1955, 3774, 3775, 0, 3776, 0, 0, 0, 3777, 0, 0, 0, 0, 0, 0, 0, 728, 
-    1945, 1946, 3773, 1947, 3771, 3772, 0, 1948, 3768, 3769, 0, 3770, 0, 0, 0, 1949, 3764, 3765, 0, 3766, 0, 0, 0, 3767, 0, 0, 0, 0, 0, 0, 0, 1950, 
-    3759, 3760, 0, 3761, 0, 0, 0, 3762, 0, 0, 0, 0, 0, 0, 0, 3763, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 
-    714, 715, 1944, 716, 1942, 1943, 3758, 717, 1939, 1940, 3757, 1941, 3755, 3756, 0, 718, 1935, 1936, 3754, 1937, 3752, 3753, 0, 1938, 3749, 3750, 0, 3751, 0, 0, 0, 719, 
-    1930, 1931, 3748, 1932, 3746, 3747, 0, 1933, 3743, 3744, 0, 3745, 0, 0, 0, 1934, 3739, 3740, 0, 3741, 0, 0, 0, 3742, 0, 0, 0, 0, 0, 0, 0, 720, 
-    1924, 1925, 3738, 1926, 3736, 3737, 0, 1927, 3733, 3734, 0, 3735, 0, 0, 0, 1928, 3729, 3730, 0, 3731, 0, 0, 0, 3732, 0, 0, 0, 0, 0, 0, 0, 1929, 
-    3724, 3725, 0, 3726, 0, 0, 0, 3727, 0, 0, 0, 0, 0, 0, 0, 3728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 721, 
-    1917, 1918, 3723, 1919, 3721, 3722, 0, 1920, 3718, 3719, 0, 3720, 0, 0, 0, 1921, 3714, 3715, 0, 3716, 0, 0, 0, 3717, 0, 0, 0, 0, 0, 0, 0, 1922, 
-    3709, 3710, 0, 3711, 0, 0, 0, 3712, 0, 0, 0, 0, 0, 0, 0, 3713, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1923, 
-    3703, 3704, 0, 3705, 0, 0, 0, 3706, 0, 0, 0, 0, 0, 0, 0, 3707, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3708, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 189, 
-    705, 706, 1916, 707, 1914, 1915, 3702, 708, 1911, 1912, 3701, 1913, 3699, 3700, 0, 709, 1907, 1908, 3698, 1909, 3696, 3697, 0, 1910, 3693, 3694, 0, 3695, 0, 0, 0, 710, 
-    1902, 1903, 3692, 1904, 3690, 3691, 0, 1905, 3687, 3688, 0, 3689, 0, 0, 0, 1906, 3683, 3684, 0, 3685, 0, 0, 0, 3686, 0, 0, 0, 0, 0, 0, 0, 711, 
-    1896, 1897, 3682, 1898, 3680, 3681, 0, 1899, 3677, 3678, 0, 3679, 0, 0, 0, 1900, 3673, 3674, 0, 3675, 0, 0, 0, 3676, 0, 0, 0, 0, 0, 0, 0, 1901, 
-    3668, 3669, 0, 3670, 0, 0, 0, 3671, 0, 0, 0, 0, 0, 0, 0, 3672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 712, 
-    1889, 1890, 3667, 1891, 3665, 3666, 0, 1892, 3662, 3663, 0, 3664, 0, 0, 0, 1893, 3658, 3659, 0, 3660, 0, 0, 0, 3661, 0, 0, 0, 0, 0, 0, 0, 1894, 
-    3653, 3654, 0, 3655, 0, 0, 0, 3656, 0, 0, 0, 0, 0, 0, 0, 3657, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1895, 
-    3647, 3648, 0, 3649, 0, 0, 0, 3650, 0, 0, 0, 0, 0, 0, 0, 3651, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3652, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 713, 
-    1881, 1882, 3646, 1883, 3644, 3645, 0, 1884, 3641, 3642, 0, 3643, 0, 0, 0, 1885, 3637, 3638, 0, 3639, 0, 0, 0, 3640, 0, 0, 0, 0, 0, 0, 0, 1886, 
-    3632, 3633, 0, 3634, 0, 0, 0, 3635, 0, 0, 0, 0, 0, 0, 0, 3636, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1887, 
-    3626, 3627, 0, 3628, 0, 0, 0, 3629, 0, 0, 0, 0, 0, 0, 0, 3630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3631, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1888, 
-    3619, 3620, 0, 3621, 0, 0, 0, 3622, 0, 0, 0, 0, 0, 0, 0, 3623, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3624, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3625, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 
-    169, 170, 704, 171, 702, 703, 1880, 172, 699, 700, 1879, 701, 1877, 1878, 3618, 173, 695, 696, 1876, 697, 1874, 1875, 3617, 698, 1871, 1872, 3616, 1873, 3614, 3615, 0, 174, 
-    690, 691, 1870, 692, 1868, 1869, 3613, 693, 1865, 1866, 3612, 1867, 3610, 3611, 0, 694, 1861, 1862, 3609, 1863, 3607, 3608, 0, 1864, 3604, 3605, 0, 3606, 0, 0, 0, 175, 
-    684, 685, 1860, 686, 1858, 1859, 3603, 687, 1855, 1856, 3602, 1857, 3600, 3601, 0, 688, 1851, 1852, 3599, 1853, 3597, 3598, 0, 1854, 3594, 3595, 0, 3596, 0, 0, 0, 689, 
-    1846, 1847, 3593, 1848, 3591, 3592, 0, 1849, 3588, 3589, 0, 3590, 0, 0, 0, 1850, 3584, 3585, 0, 3586, 0, 0, 0, 3587, 0, 0, 0, 0, 0, 0, 0, 176, 
-    677, 678, 1845, 679, 1843, 1844, 3583, 680, 1840, 1841, 3582, 1842, 3580, 3581, 0, 681, 1836, 1837, 3579, 1838, 3577, 3578, 0, 1839, 3574, 3575, 0, 3576, 0, 0, 0, 682, 
-    1831, 1832, 3573, 1833, 3571, 3572, 0, 1834, 3568, 3569, 0, 3570, 0, 0, 0, 1835, 3564, 3565, 0, 3566, 0, 0, 0, 3567, 0, 0, 0, 0, 0, 0, 0, 683, 
-    1825, 1826, 3563, 1827, 3561, 3562, 0, 1828, 3558, 3559, 0, 3560, 0, 0, 0, 1829, 3554, 3555, 0, 3556, 0, 0, 0, 3557, 0, 0, 0, 0, 0, 0, 0, 1830, 
-    3549, 3550, 0, 3551, 0, 0, 0, 3552, 0, 0, 0, 0, 0, 0, 0, 3553, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 177, 
-    669, 670, 1824, 671, 1822, 1823, 3548, 672, 1819, 1820, 3547, 1821, 3545, 3546, 0, 673, 1815, 1816, 3544, 1817, 3542, 3543, 0, 1818, 3539, 3540, 0, 3541, 0, 0, 0, 674, 
-    1810, 1811, 3538, 1812, 3536, 3537, 0, 1813, 3533, 3534, 0, 3535, 0, 0, 0, 1814, 3529, 3530, 0, 3531, 0, 0, 0, 3532, 0, 0, 0, 0, 0, 0, 0, 675, 
-    1804, 1805, 3528, 1806, 3526, 3527, 0, 1807, 3523, 3524, 0, 3525, 0, 0, 0, 1808, 3519, 3520, 0, 3521, 0, 0, 0, 3522, 0, 0, 0, 0, 0, 0, 0, 1809, 
-    3514, 3515, 0, 3516, 0, 0, 0, 3517, 0, 0, 0, 0, 0, 0, 0, 3518, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 676, 
-    1797, 1798, 3513, 1799, 3511, 3512, 0, 1800, 3508, 3509, 0, 3510, 0, 0, 0, 1801, 3504, 3505, 0, 3506, 0, 0, 0, 3507, 0, 0, 0, 0, 0, 0, 0, 1802, 
-    3499, 3500, 0, 3501, 0, 0, 0, 3502, 0, 0, 0, 0, 0, 0, 0, 3503, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1803, 
-    3493, 3494, 0, 3495, 0, 0, 0, 3496, 0, 0, 0, 0, 0, 0, 0, 3497, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3498, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 178, 
-    660, 661, 1796, 662, 1794, 1795, 3492, 663, 1791, 1792, 3491, 1793, 3489, 3490, 0, 664, 1787, 1788, 3488, 1789, 3486, 3487, 0, 1790, 3483, 3484, 0, 3485, 0, 0, 0, 665, 
-    1782, 1783, 3482, 1784, 3480, 3481, 0, 1785, 3477, 3478, 0, 3479, 0, 0, 0, 1786, 3473, 3474, 0, 3475, 0, 0, 0, 3476, 0, 0, 0, 0, 0, 0, 0, 666, 
-    1776, 1777, 3472, 1778, 3470, 3471, 0, 1779, 3467, 3468, 0, 3469, 0, 0, 0, 1780, 3463, 3464, 0, 3465, 0, 0, 0, 3466, 0, 0, 0, 0, 0, 0, 0, 1781, 
-    3458, 3459, 0, 3460, 0, 0, 0, 3461, 0, 0, 0, 0, 0, 0, 0, 3462, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 667, 
-    1769, 1770, 3457, 1771, 3455, 3456, 0, 1772, 3452, 3453, 0, 3454, 0, 0, 0, 1773, 3448, 3449, 0, 3450, 0, 0, 0, 3451, 0, 0, 0, 0, 0, 0, 0, 1774, 
-    3443, 3444, 0, 3445, 0, 0, 0, 3446, 0, 0, 0, 0, 0, 0, 0, 3447, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1775, 
-    3437, 3438, 0, 3439, 0, 0, 0, 3440, 0, 0, 0, 0, 0, 0, 0, 3441, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3442, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 668, 
-    1761, 1762, 3436, 1763, 3434, 3435, 0, 1764, 3431, 3432, 0, 3433, 0, 0, 0, 1765, 3427, 3428, 0, 3429, 0, 0, 0, 3430, 0, 0, 0, 0, 0, 0, 0, 1766, 
-    3422, 3423, 0, 3424, 0, 0, 0, 3425, 0, 0, 0, 0, 0, 0, 0, 3426, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1767, 
-    3416, 3417, 0, 3418, 0, 0, 0, 3419, 0, 0, 0, 0, 0, 0, 0, 3420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3421, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1768, 
-    3409, 3410, 0, 3411, 0, 0, 0, 3412, 0, 0, 0, 0, 0, 0, 0, 3413, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3414, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3415, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 179, 
-    650, 651, 1760, 652, 1758, 1759, 3408, 653, 1755, 1756, 3407, 1757, 3405, 3406, 0, 654, 1751, 1752, 3404, 1753, 3402, 3403, 0, 1754, 3399, 3400, 0, 3401, 0, 0, 0, 655, 
-    1746, 1747, 3398, 1748, 3396, 3397, 0, 1749, 3393, 3394, 0, 3395, 0, 0, 0, 1750, 3389, 3390, 0, 3391, 0, 0, 0, 3392, 0, 0, 0, 0, 0, 0, 0, 656, 
-    1740, 1741, 3388, 1742, 3386, 3387, 0, 1743, 3383, 3384, 0, 3385, 0, 0, 0, 1744, 3379, 3380, 0, 3381, 0, 0, 0, 3382, 0, 0, 0, 0, 0, 0, 0, 1745, 
-    3374, 3375, 0, 3376, 0, 0, 0, 3377, 0, 0, 0, 0, 0, 0, 0, 3378, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 657, 
-    1733, 1734, 3373, 1735, 3371, 3372, 0, 1736, 3368, 3369, 0, 3370, 0, 0, 0, 1737, 3364, 3365, 0, 3366, 0, 0, 0, 3367, 0, 0, 0, 0, 0, 0, 0, 1738, 
-    3359, 3360, 0, 3361, 0, 0, 0, 3362, 0, 0, 0, 0, 0, 0, 0, 3363, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1739, 
-    3353, 3354, 0, 3355, 0, 0, 0, 3356, 0, 0, 0, 0, 0, 0, 0, 3357, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3358, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 658, 
-    1725, 1726, 3352, 1727, 3350, 3351, 0, 1728, 3347, 3348, 0, 3349, 0, 0, 0, 1729, 3343, 3344, 0, 3345, 0, 0, 0, 3346, 0, 0, 0, 0, 0, 0, 0, 1730, 
-    3338, 3339, 0, 3340, 0, 0, 0, 3341, 0, 0, 0, 0, 0, 0, 0, 3342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1731, 
-    3332, 3333, 0, 3334, 0, 0, 0, 3335, 0, 0, 0, 0, 0, 0, 0, 3336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3337, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1732, 
-    3325, 3326, 0, 3327, 0, 0, 0, 3328, 0, 0, 0, 0, 0, 0, 0, 3329, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3330, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3331, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 659, 
-    1716, 1717, 3324, 1718, 3322, 3323, 0, 1719, 3319, 3320, 0, 3321, 0, 0, 0, 1720, 3315, 3316, 0, 3317, 0, 0, 0, 3318, 0, 0, 0, 0, 0, 0, 0, 1721, 
-    3310, 3311, 0, 3312, 0, 0, 0, 3313, 0, 0, 0, 0, 0, 0, 0, 3314, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1722, 
-    3304, 3305, 0, 3306, 0, 0, 0, 3307, 0, 0, 0, 0, 0, 0, 0, 3308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3309, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1723, 
-    3297, 3298, 0, 3299, 0, 0, 0, 3300, 0, 0, 0, 0, 0, 0, 0, 3301, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3302, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3303, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1724, 
-    3289, 3290, 0, 3291, 0, 0, 0, 3292, 0, 0, 0, 0, 0, 0, 0, 3293, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3294, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3295, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3296, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 
-    14, 15, 168, 16, 166, 167, 649, 17, 163, 164, 648, 165, 646, 647, 1715, 18, 159, 160, 645, 161, 643, 644, 1714, 162, 640, 641, 1713, 642, 1711, 1712, 3288, 19, 
-    154, 155, 639, 156, 637, 638, 1710, 157, 634, 635, 1709, 636, 1707, 1708, 3287, 158, 630, 631, 1706, 632, 1704, 1705, 3286, 633, 1701, 1702, 3285, 1703, 3283, 3284, 0, 20, 
-    148, 149, 629, 150, 627, 628, 1700, 151, 624, 625, 1699, 626, 1697, 1698, 3282, 152, 620, 621, 1696, 622, 1694, 1695, 3281, 623, 1691, 1692, 3280, 1693, 3278, 3279, 0, 153, 
-    615, 616, 1690, 617, 1688, 1689, 3277, 618, 1685, 1686, 3276, 1687, 3274, 3275, 0, 619, 1681, 1682, 3273, 1683, 3271, 3272, 0, 1684, 3268, 3269, 0, 3270, 0, 0, 0, 21, 
-    141, 142, 614, 143, 612, 613, 1680, 144, 609, 610, 1679, 611, 1677, 1678, 3267, 145, 605, 606, 1676, 607, 1674, 1675, 3266, 608, 1671, 1672, 3265, 1673, 3263, 3264, 0, 146, 
-    600, 601, 1670, 602, 1668, 1669, 3262, 603, 1665, 1666, 3261, 1667, 3259, 3260, 0, 604, 1661, 1662, 3258, 1663, 3256, 3257, 0, 1664, 3253, 3254, 0, 3255, 0, 0, 0, 147, 
-    594, 595, 1660, 596, 1658, 1659, 3252, 597, 1655, 1656, 3251, 1657, 3249, 3250, 0, 598, 1651, 1652, 3248, 1653, 3246, 3247, 0, 1654, 3243, 3244, 0, 3245, 0, 0, 0, 599, 
-    1646, 1647, 3242, 1648, 3240, 3241, 0, 1649, 3237, 3238, 0, 3239, 0, 0, 0, 1650, 3233, 3234, 0, 3235, 0, 0, 0, 3236, 0, 0, 0, 0, 0, 0, 0, 22, 
-    133, 134, 593, 135, 591, 592, 1645, 136, 588, 589, 1644, 590, 1642, 1643, 3232, 137, 584, 585, 1641, 586, 1639, 1640, 3231, 587, 1636, 1637, 3230, 1638, 3228, 3229, 0, 138, 
-    579, 580, 1635, 581, 1633, 1634, 3227, 582, 1630, 1631, 3226, 1632, 3224, 3225, 0, 583, 1626, 1627, 3223, 1628, 3221, 3222, 0, 1629, 3218, 3219, 0, 3220, 0, 0, 0, 139, 
-    573, 574, 1625, 575, 1623, 1624, 3217, 576, 1620, 1621, 3216, 1622, 3214, 3215, 0, 577, 1616, 1617, 3213, 1618, 3211, 3212, 0, 1619, 3208, 3209, 0, 3210, 0, 0, 0, 578, 
-    1611, 1612, 3207, 1613, 3205, 3206, 0, 1614, 3202, 3203, 0, 3204, 0, 0, 0, 1615, 3198, 3199, 0, 3200, 0, 0, 0, 3201, 0, 0, 0, 0, 0, 0, 0, 140, 
-    566, 567, 1610, 568, 1608, 1609, 3197, 569, 1605, 1606, 3196, 1607, 3194, 3195, 0, 570, 1601, 1602, 3193, 1603, 3191, 3192, 0, 1604, 3188, 3189, 0, 3190, 0, 0, 0, 571, 
-    1596, 1597, 3187, 1598, 3185, 3186, 0, 1599, 3182, 3183, 0, 3184, 0, 0, 0, 1600, 3178, 3179, 0, 3180, 0, 0, 0, 3181, 0, 0, 0, 0, 0, 0, 0, 572, 
-    1590, 1591, 3177, 1592, 3175, 3176, 0, 1593, 3172, 3173, 0, 3174, 0, 0, 0, 1594, 3168, 3169, 0, 3170, 0, 0, 0, 3171, 0, 0, 0, 0, 0, 0, 0, 1595, 
-    3163, 3164, 0, 3165, 0, 0, 0, 3166, 0, 0, 0, 0, 0, 0, 0, 3167, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 
-    124, 125, 565, 126, 563, 564, 1589, 127, 560, 561, 1588, 562, 1586, 1587, 3162, 128, 556, 557, 1585, 558, 1583, 1584, 3161, 559, 1580, 1581, 3160, 1582, 3158, 3159, 0, 129, 
-    551, 552, 1579, 553, 1577, 1578, 3157, 554, 1574, 1575, 3156, 1576, 3154, 3155, 0, 555, 1570, 1571, 3153, 1572, 3151, 3152, 0, 1573, 3148, 3149, 0, 3150, 0, 0, 0, 130, 
-    545, 546, 1569, 547, 1567, 1568, 3147, 548, 1564, 1565, 3146, 1566, 3144, 3145, 0, 549, 1560, 1561, 3143, 1562, 3141, 3142, 0, 1563, 3138, 3139, 0, 3140, 0, 0, 0, 550, 
-    1555, 1556, 3137, 1557, 3135, 3136, 0, 1558, 3132, 3133, 0, 3134, 0, 0, 0, 1559, 3128, 3129, 0, 3130, 0, 0, 0, 3131, 0, 0, 0, 0, 0, 0, 0, 131, 
-    538, 539, 1554, 540, 1552, 1553, 3127, 541, 1549, 1550, 3126, 1551, 3124, 3125, 0, 542, 1545, 1546, 3123, 1547, 3121, 3122, 0, 1548, 3118, 3119, 0, 3120, 0, 0, 0, 543, 
-    1540, 1541, 3117, 1542, 3115, 3116, 0, 1543, 3112, 3113, 0, 3114, 0, 0, 0, 1544, 3108, 3109, 0, 3110, 0, 0, 0, 3111, 0, 0, 0, 0, 0, 0, 0, 544, 
-    1534, 1535, 3107, 1536, 3105, 3106, 0, 1537, 3102, 3103, 0, 3104, 0, 0, 0, 1538, 3098, 3099, 0, 3100, 0, 0, 0, 3101, 0, 0, 0, 0, 0, 0, 0, 1539, 
-    3093, 3094, 0, 3095, 0, 0, 0, 3096, 0, 0, 0, 0, 0, 0, 0, 3097, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 
-    530, 531, 1533, 532, 1531, 1532, 3092, 533, 1528, 1529, 3091, 1530, 3089, 3090, 0, 534, 1524, 1525, 3088, 1526, 3086, 3087, 0, 1527, 3083, 3084, 0, 3085, 0, 0, 0, 535, 
-    1519, 1520, 3082, 1521, 3080, 3081, 0, 1522, 3077, 3078, 0, 3079, 0, 0, 0, 1523, 3073, 3074, 0, 3075, 0, 0, 0, 3076, 0, 0, 0, 0, 0, 0, 0, 536, 
-    1513, 1514, 3072, 1515, 3070, 3071, 0, 1516, 3067, 3068, 0, 3069, 0, 0, 0, 1517, 3063, 3064, 0, 3065, 0, 0, 0, 3066, 0, 0, 0, 0, 0, 0, 0, 1518, 
-    3058, 3059, 0, 3060, 0, 0, 0, 3061, 0, 0, 0, 0, 0, 0, 0, 3062, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 537, 
-    1506, 1507, 3057, 1508, 3055, 3056, 0, 1509, 3052, 3053, 0, 3054, 0, 0, 0, 1510, 3048, 3049, 0, 3050, 0, 0, 0, 3051, 0, 0, 0, 0, 0, 0, 0, 1511, 
-    3043, 3044, 0, 3045, 0, 0, 0, 3046, 0, 0, 0, 0, 0, 0, 0, 3047, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1512, 
-    3037, 3038, 0, 3039, 0, 0, 0, 3040, 0, 0, 0, 0, 0, 0, 0, 3041, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3042, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 
-    114, 115, 529, 116, 527, 528, 1505, 117, 524, 525, 1504, 526, 1502, 1503, 3036, 118, 520, 521, 1501, 522, 1499, 1500, 3035, 523, 1496, 1497, 3034, 1498, 3032, 3033, 0, 119, 
-    515, 516, 1495, 517, 1493, 1494, 3031, 518, 1490, 1491, 3030, 1492, 3028, 3029, 0, 519, 1486, 1487, 3027, 1488, 3025, 3026, 0, 1489, 3022, 3023, 0, 3024, 0, 0, 0, 120, 
-    509, 510, 1485, 511, 1483, 1484, 3021, 512, 1480, 1481, 3020, 1482, 3018, 3019, 0, 513, 1476, 1477, 3017, 1478, 3015, 3016, 0, 1479, 3012, 3013, 0, 3014, 0, 0, 0, 514, 
-    1471, 1472, 3011, 1473, 3009, 3010, 0, 1474, 3006, 3007, 0, 3008, 0, 0, 0, 1475, 3002, 3003, 0, 3004, 0, 0, 0, 3005, 0, 0, 0, 0, 0, 0, 0, 121, 
-    502, 503, 1470, 504, 1468, 1469, 3001, 505, 1465, 1466, 3000, 1467, 2998, 2999, 0, 506, 1461, 1462, 2997, 1463, 2995, 2996, 0, 1464, 2992, 2993, 0, 2994, 0, 0, 0, 507, 
-    1456, 1457, 2991, 1458, 2989, 2990, 0, 1459, 2986, 2987, 0, 2988, 0, 0, 0, 1460, 2982, 2983, 0, 2984, 0, 0, 0, 2985, 0, 0, 0, 0, 0, 0, 0, 508, 
-    1450, 1451, 2981, 1452, 2979, 2980, 0, 1453, 2976, 2977, 0, 2978, 0, 0, 0, 1454, 2972, 2973, 0, 2974, 0, 0, 0, 2975, 0, 0, 0, 0, 0, 0, 0, 1455, 
-    2967, 2968, 0, 2969, 0, 0, 0, 2970, 0, 0, 0, 0, 0, 0, 0, 2971, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 122, 
-    494, 495, 1449, 496, 1447, 1448, 2966, 497, 1444, 1445, 2965, 1446, 2963, 2964, 0, 498, 1440, 1441, 2962, 1442, 2960, 2961, 0, 1443, 2957, 2958, 0, 2959, 0, 0, 0, 499, 
-    1435, 1436, 2956, 1437, 2954, 2955, 0, 1438, 2951, 2952, 0, 2953, 0, 0, 0, 1439, 2947, 2948, 0, 2949, 0, 0, 0, 2950, 0, 0, 0, 0, 0, 0, 0, 500, 
-    1429, 1430, 2946, 1431, 2944, 2945, 0, 1432, 2941, 2942, 0, 2943, 0, 0, 0, 1433, 2937, 2938, 0, 2939, 0, 0, 0, 2940, 0, 0, 0, 0, 0, 0, 0, 1434, 
-    2932, 2933, 0, 2934, 0, 0, 0, 2935, 0, 0, 0, 0, 0, 0, 0, 2936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 501, 
-    1422, 1423, 2931, 1424, 2929, 2930, 0, 1425, 2926, 2927, 0, 2928, 0, 0, 0, 1426, 2922, 2923, 0, 2924, 0, 0, 0, 2925, 0, 0, 0, 0, 0, 0, 0, 1427, 
-    2917, 2918, 0, 2919, 0, 0, 0, 2920, 0, 0, 0, 0, 0, 0, 0, 2921, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1428, 
-    2911, 2912, 0, 2913, 0, 0, 0, 2914, 0, 0, 0, 0, 0, 0, 0, 2915, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2916, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 123, 
-    485, 486, 1421, 487, 1419, 1420, 2910, 488, 1416, 1417, 2909, 1418, 2907, 2908, 0, 489, 1412, 1413, 2906, 1414, 2904, 2905, 0, 1415, 2901, 2902, 0, 2903, 0, 0, 0, 490, 
-    1407, 1408, 2900, 1409, 2898, 2899, 0, 1410, 2895, 2896, 0, 2897, 0, 0, 0, 1411, 2891, 2892, 0, 2893, 0, 0, 0, 2894, 0, 0, 0, 0, 0, 0, 0, 491, 
-    1401, 1402, 2890, 1403, 2888, 2889, 0, 1404, 2885, 2886, 0, 2887, 0, 0, 0, 1405, 2881, 2882, 0, 2883, 0, 0, 0, 2884, 0, 0, 0, 0, 0, 0, 0, 1406, 
-    2876, 2877, 0, 2878, 0, 0, 0, 2879, 0, 0, 0, 0, 0, 0, 0, 2880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 492, 
-    1394, 1395, 2875, 1396, 2873, 2874, 0, 1397, 2870, 2871, 0, 2872, 0, 0, 0, 1398, 2866, 2867, 0, 2868, 0, 0, 0, 2869, 0, 0, 0, 0, 0, 0, 0, 1399, 
-    2861, 2862, 0, 2863, 0, 0, 0, 2864, 0, 0, 0, 0, 0, 0, 0, 2865, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1400, 
-    2855, 2856, 0, 2857, 0, 0, 0, 2858, 0, 0, 0, 0, 0, 0, 0, 2859, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2860, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 493, 
-    1386, 1387, 2854, 1388, 2852, 2853, 0, 1389, 2849, 2850, 0, 2851, 0, 0, 0, 1390, 2845, 2846, 0, 2847, 0, 0, 0, 2848, 0, 0, 0, 0, 0, 0, 0, 1391, 
-    2840, 2841, 0, 2842, 0, 0, 0, 2843, 0, 0, 0, 0, 0, 0, 0, 2844, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1392, 
-    2834, 2835, 0, 2836, 0, 0, 0, 2837, 0, 0, 0, 0, 0, 0, 0, 2838, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2839, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1393, 
-    2827, 2828, 0, 2829, 0, 0, 0, 2830, 0, 0, 0, 0, 0, 0, 0, 2831, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2832, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2833, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 
-    103, 104, 484, 105, 482, 483, 1385, 106, 479, 480, 1384, 481, 1382, 1383, 2826, 107, 475, 476, 1381, 477, 1379, 1380, 2825, 478, 1376, 1377, 2824, 1378, 2822, 2823, 0, 108, 
-    470, 471, 1375, 472, 1373, 1374, 2821, 473, 1370, 1371, 2820, 1372, 2818, 2819, 0, 474, 1366, 1367, 2817, 1368, 2815, 2816, 0, 1369, 2812, 2813, 0, 2814, 0, 0, 0, 109, 
-    464, 465, 1365, 466, 1363, 1364, 2811, 467, 1360, 1361, 2810, 1362, 2808, 2809, 0, 468, 1356, 1357, 2807, 1358, 2805, 2806, 0, 1359, 2802, 2803, 0, 2804, 0, 0, 0, 469, 
-    1351, 1352, 2801, 1353, 2799, 2800, 0, 1354, 2796, 2797, 0, 2798, 0, 0, 0, 1355, 2792, 2793, 0, 2794, 0, 0, 0, 2795, 0, 0, 0, 0, 0, 0, 0, 110, 
-    457, 458, 1350, 459, 1348, 1349, 2791, 460, 1345, 1346, 2790, 1347, 2788, 2789, 0, 461, 1341, 1342, 2787, 1343, 2785, 2786, 0, 1344, 2782, 2783, 0, 2784, 0, 0, 0, 462, 
-    1336, 1337, 2781, 1338, 2779, 2780, 0, 1339, 2776, 2777, 0, 2778, 0, 0, 0, 1340, 2772, 2773, 0, 2774, 0, 0, 0, 2775, 0, 0, 0, 0, 0, 0, 0, 463, 
-    1330, 1331, 2771, 1332, 2769, 2770, 0, 1333, 2766, 2767, 0, 2768, 0, 0, 0, 1334, 2762, 2763, 0, 2764, 0, 0, 0, 2765, 0, 0, 0, 0, 0, 0, 0, 1335, 
-    2757, 2758, 0, 2759, 0, 0, 0, 2760, 0, 0, 0, 0, 0, 0, 0, 2761, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 111, 
-    449, 450, 1329, 451, 1327, 1328, 2756, 452, 1324, 1325, 2755, 1326, 2753, 2754, 0, 453, 1320, 1321, 2752, 1322, 2750, 2751, 0, 1323, 2747, 2748, 0, 2749, 0, 0, 0, 454, 
-    1315, 1316, 2746, 1317, 2744, 2745, 0, 1318, 2741, 2742, 0, 2743, 0, 0, 0, 1319, 2737, 2738, 0, 2739, 0, 0, 0, 2740, 0, 0, 0, 0, 0, 0, 0, 455, 
-    1309, 1310, 2736, 1311, 2734, 2735, 0, 1312, 2731, 2732, 0, 2733, 0, 0, 0, 1313, 2727, 2728, 0, 2729, 0, 0, 0, 2730, 0, 0, 0, 0, 0, 0, 0, 1314, 
-    2722, 2723, 0, 2724, 0, 0, 0, 2725, 0, 0, 0, 0, 0, 0, 0, 2726, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 456, 
-    1302, 1303, 2721, 1304, 2719, 2720, 0, 1305, 2716, 2717, 0, 2718, 0, 0, 0, 1306, 2712, 2713, 0, 2714, 0, 0, 0, 2715, 0, 0, 0, 0, 0, 0, 0, 1307, 
-    2707, 2708, 0, 2709, 0, 0, 0, 2710, 0, 0, 0, 0, 0, 0, 0, 2711, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1308, 
-    2701, 2702, 0, 2703, 0, 0, 0, 2704, 0, 0, 0, 0, 0, 0, 0, 2705, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2706, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 
-    440, 441, 1301, 442, 1299, 1300, 2700, 443, 1296, 1297, 2699, 1298, 2697, 2698, 0, 444, 1292, 1293, 2696, 1294, 2694, 2695, 0, 1295, 2691, 2692, 0, 2693, 0, 0, 0, 445, 
-    1287, 1288, 2690, 1289, 2688, 2689, 0, 1290, 2685, 2686, 0, 2687, 0, 0, 0, 1291, 2681, 2682, 0, 2683, 0, 0, 0, 2684, 0, 0, 0, 0, 0, 0, 0, 446, 
-    1281, 1282, 2680, 1283, 2678, 2679, 0, 1284, 2675, 2676, 0, 2677, 0, 0, 0, 1285, 2671, 2672, 0, 2673, 0, 0, 0, 2674, 0, 0, 0, 0, 0, 0, 0, 1286, 
-    2666, 2667, 0, 2668, 0, 0, 0, 2669, 0, 0, 0, 0, 0, 0, 0, 2670, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 447, 
-    1274, 1275, 2665, 1276, 2663, 2664, 0, 1277, 2660, 2661, 0, 2662, 0, 0, 0, 1278, 2656, 2657, 0, 2658, 0, 0, 0, 2659, 0, 0, 0, 0, 0, 0, 0, 1279, 
-    2651, 2652, 0, 2653, 0, 0, 0, 2654, 0, 0, 0, 0, 0, 0, 0, 2655, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1280, 
-    2645, 2646, 0, 2647, 0, 0, 0, 2648, 0, 0, 0, 0, 0, 0, 0, 2649, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2650, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 448, 
-    1266, 1267, 2644, 1268, 2642, 2643, 0, 1269, 2639, 2640, 0, 2641, 0, 0, 0, 1270, 2635, 2636, 0, 2637, 0, 0, 0, 2638, 0, 0, 0, 0, 0, 0, 0, 1271, 
-    2630, 2631, 0, 2632, 0, 0, 0, 2633, 0, 0, 0, 0, 0, 0, 0, 2634, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1272, 
-    2624, 2625, 0, 2626, 0, 0, 0, 2627, 0, 0, 0, 0, 0, 0, 0, 2628, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2629, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1273, 
-    2617, 2618, 0, 2619, 0, 0, 0, 2620, 0, 0, 0, 0, 0, 0, 0, 2621, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2622, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2623, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 113, 
-    430, 431, 1265, 432, 1263, 1264, 2616, 433, 1260, 1261, 2615, 1262, 2613, 2614, 0, 434, 1256, 1257, 2612, 1258, 2610, 2611, 0, 1259, 2607, 2608, 0, 2609, 0, 0, 0, 435, 
-    1251, 1252, 2606, 1253, 2604, 2605, 0, 1254, 2601, 2602, 0, 2603, 0, 0, 0, 1255, 2597, 2598, 0, 2599, 0, 0, 0, 2600, 0, 0, 0, 0, 0, 0, 0, 436, 
-    1245, 1246, 2596, 1247, 2594, 2595, 0, 1248, 2591, 2592, 0, 2593, 0, 0, 0, 1249, 2587, 2588, 0, 2589, 0, 0, 0, 2590, 0, 0, 0, 0, 0, 0, 0, 1250, 
-    2582, 2583, 0, 2584, 0, 0, 0, 2585, 0, 0, 0, 0, 0, 0, 0, 2586, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 437, 
-    1238, 1239, 2581, 1240, 2579, 2580, 0, 1241, 2576, 2577, 0, 2578, 0, 0, 0, 1242, 2572, 2573, 0, 2574, 0, 0, 0, 2575, 0, 0, 0, 0, 0, 0, 0, 1243, 
-    2567, 2568, 0, 2569, 0, 0, 0, 2570, 0, 0, 0, 0, 0, 0, 0, 2571, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1244, 
-    2561, 2562, 0, 2563, 0, 0, 0, 2564, 0, 0, 0, 0, 0, 0, 0, 2565, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2566, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 438, 
-    1230, 1231, 2560, 1232, 2558, 2559, 0, 1233, 2555, 2556, 0, 2557, 0, 0, 0, 1234, 2551, 2552, 0, 2553, 0, 0, 0, 2554, 0, 0, 0, 0, 0, 0, 0, 1235, 
-    2546, 2547, 0, 2548, 0, 0, 0, 2549, 0, 0, 0, 0, 0, 0, 0, 2550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1236, 
-    2540, 2541, 0, 2542, 0, 0, 0, 2543, 0, 0, 0, 0, 0, 0, 0, 2544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2545, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1237, 
-    2533, 2534, 0, 2535, 0, 0, 0, 2536, 0, 0, 0, 0, 0, 0, 0, 2537, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2538, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2539, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 439, 
-    1221, 1222, 2532, 1223, 2530, 2531, 0, 1224, 2527, 2528, 0, 2529, 0, 0, 0, 1225, 2523, 2524, 0, 2525, 0, 0, 0, 2526, 0, 0, 0, 0, 0, 0, 0, 1226, 
-    2518, 2519, 0, 2520, 0, 0, 0, 2521, 0, 0, 0, 0, 0, 0, 0, 2522, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1227, 
-    2512, 2513, 0, 2514, 0, 0, 0, 2515, 0, 0, 0, 0, 0, 0, 0, 2516, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2517, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1228, 
-    2505, 2506, 0, 2507, 0, 0, 0, 2508, 0, 0, 0, 0, 0, 0, 0, 2509, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2510, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2511, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1229, 
-    2497, 2498, 0, 2499, 0, 0, 0, 2500, 0, 0, 0, 0, 0, 0, 0, 2501, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2502, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2503, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2504, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 
-    91, 92, 429, 93, 427, 428, 1220, 94, 424, 425, 1219, 426, 1217, 1218, 2496, 95, 420, 421, 1216, 422, 1214, 1215, 2495, 423, 1211, 1212, 2494, 1213, 2492, 2493, 0, 96, 
-    415, 416, 1210, 417, 1208, 1209, 2491, 418, 1205, 1206, 2490, 1207, 2488, 2489, 0, 419, 1201, 1202, 2487, 1203, 2485, 2486, 0, 1204, 2482, 2483, 0, 2484, 0, 0, 0, 97, 
-    409, 410, 1200, 411, 1198, 1199, 2481, 412, 1195, 1196, 2480, 1197, 2478, 2479, 0, 413, 1191, 1192, 2477, 1193, 2475, 2476, 0, 1194, 2472, 2473, 0, 2474, 0, 0, 0, 414, 
-    1186, 1187, 2471, 1188, 2469, 2470, 0, 1189, 2466, 2467, 0, 2468, 0, 0, 0, 1190, 2462, 2463, 0, 2464, 0, 0, 0, 2465, 0, 0, 0, 0, 0, 0, 0, 98, 
-    402, 403, 1185, 404, 1183, 1184, 2461, 405, 1180, 1181, 2460, 1182, 2458, 2459, 0, 406, 1176, 1177, 2457, 1178, 2455, 2456, 0, 1179, 2452, 2453, 0, 2454, 0, 0, 0, 407, 
-    1171, 1172, 2451, 1173, 2449, 2450, 0, 1174, 2446, 2447, 0, 2448, 0, 0, 0, 1175, 2442, 2443, 0, 2444, 0, 0, 0, 2445, 0, 0, 0, 0, 0, 0, 0, 408, 
-    1165, 1166, 2441, 1167, 2439, 2440, 0, 1168, 2436, 2437, 0, 2438, 0, 0, 0, 1169, 2432, 2433, 0, 2434, 0, 0, 0, 2435, 0, 0, 0, 0, 0, 0, 0, 1170, 
-    2427, 2428, 0, 2429, 0, 0, 0, 2430, 0, 0, 0, 0, 0, 0, 0, 2431, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 99, 
-    394, 395, 1164, 396, 1162, 1163, 2426, 397, 1159, 1160, 2425, 1161, 2423, 2424, 0, 398, 1155, 1156, 2422, 1157, 2420, 2421, 0, 1158, 2417, 2418, 0, 2419, 0, 0, 0, 399, 
-    1150, 1151, 2416, 1152, 2414, 2415, 0, 1153, 2411, 2412, 0, 2413, 0, 0, 0, 1154, 2407, 2408, 0, 2409, 0, 0, 0, 2410, 0, 0, 0, 0, 0, 0, 0, 400, 
-    1144, 1145, 2406, 1146, 2404, 2405, 0, 1147, 2401, 2402, 0, 2403, 0, 0, 0, 1148, 2397, 2398, 0, 2399, 0, 0, 0, 2400, 0, 0, 0, 0, 0, 0, 0, 1149, 
-    2392, 2393, 0, 2394, 0, 0, 0, 2395, 0, 0, 0, 0, 0, 0, 0, 2396, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 401, 
-    1137, 1138, 2391, 1139, 2389, 2390, 0, 1140, 2386, 2387, 0, 2388, 0, 0, 0, 1141, 2382, 2383, 0, 2384, 0, 0, 0, 2385, 0, 0, 0, 0, 0, 0, 0, 1142, 
-    2377, 2378, 0, 2379, 0, 0, 0, 2380, 0, 0, 0, 0, 0, 0, 0, 2381, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1143, 
-    2371, 2372, 0, 2373, 0, 0, 0, 2374, 0, 0, 0, 0, 0, 0, 0, 2375, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2376, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 
-    385, 386, 1136, 387, 1134, 1135, 2370, 388, 1131, 1132, 2369, 1133, 2367, 2368, 0, 389, 1127, 1128, 2366, 1129, 2364, 2365, 0, 1130, 2361, 2362, 0, 2363, 0, 0, 0, 390, 
-    1122, 1123, 2360, 1124, 2358, 2359, 0, 1125, 2355, 2356, 0, 2357, 0, 0, 0, 1126, 2351, 2352, 0, 2353, 0, 0, 0, 2354, 0, 0, 0, 0, 0, 0, 0, 391, 
-    1116, 1117, 2350, 1118, 2348, 2349, 0, 1119, 2345, 2346, 0, 2347, 0, 0, 0, 1120, 2341, 2342, 0, 2343, 0, 0, 0, 2344, 0, 0, 0, 0, 0, 0, 0, 1121, 
-    2336, 2337, 0, 2338, 0, 0, 0, 2339, 0, 0, 0, 0, 0, 0, 0, 2340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 392, 
-    1109, 1110, 2335, 1111, 2333, 2334, 0, 1112, 2330, 2331, 0, 2332, 0, 0, 0, 1113, 2326, 2327, 0, 2328, 0, 0, 0, 2329, 0, 0, 0, 0, 0, 0, 0, 1114, 
-    2321, 2322, 0, 2323, 0, 0, 0, 2324, 0, 0, 0, 0, 0, 0, 0, 2325, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1115, 
-    2315, 2316, 0, 2317, 0, 0, 0, 2318, 0, 0, 0, 0, 0, 0, 0, 2319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2320, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 393, 
-    1101, 1102, 2314, 1103, 2312, 2313, 0, 1104, 2309, 2310, 0, 2311, 0, 0, 0, 1105, 2305, 2306, 0, 2307, 0, 0, 0, 2308, 0, 0, 0, 0, 0, 0, 0, 1106, 
-    2300, 2301, 0, 2302, 0, 0, 0, 2303, 0, 0, 0, 0, 0, 0, 0, 2304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1107, 
-    2294, 2295, 0, 2296, 0, 0, 0, 2297, 0, 0, 0, 0, 0, 0, 0, 2298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2299, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1108, 
-    2287, 2288, 0, 2289, 0, 0, 0, 2290, 0, 0, 0, 0, 0, 0, 0, 2291, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2292, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2293, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 101, 
-    375, 376, 1100, 377, 1098, 1099, 2286, 378, 1095, 1096, 2285, 1097, 2283, 2284, 0, 379, 1091, 1092, 2282, 1093, 2280, 2281, 0, 1094, 2277, 2278, 0, 2279, 0, 0, 0, 380, 
-    1086, 1087, 2276, 1088, 2274, 2275, 0, 1089, 2271, 2272, 0, 2273, 0, 0, 0, 1090, 2267, 2268, 0, 2269, 0, 0, 0, 2270, 0, 0, 0, 0, 0, 0, 0, 381, 
-    1080, 1081, 2266, 1082, 2264, 2265, 0, 1083, 2261, 2262, 0, 2263, 0, 0, 0, 1084, 2257, 2258, 0, 2259, 0, 0, 0, 2260, 0, 0, 0, 0, 0, 0, 0, 1085, 
-    2252, 2253, 0, 2254, 0, 0, 0, 2255, 0, 0, 0, 0, 0, 0, 0, 2256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 382, 
-    1073, 1074, 2251, 1075, 2249, 2250, 0, 1076, 2246, 2247, 0, 2248, 0, 0, 0, 1077, 2242, 2243, 0, 2244, 0, 0, 0, 2245, 0, 0, 0, 0, 0, 0, 0, 1078, 
-    2237, 2238, 0, 2239, 0, 0, 0, 2240, 0, 0, 0, 0, 0, 0, 0, 2241, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1079, 
-    2231, 2232, 0, 2233, 0, 0, 0, 2234, 0, 0, 0, 0, 0, 0, 0, 2235, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2236, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 383, 
-    1065, 1066, 2230, 1067, 2228, 2229, 0, 1068, 2225, 2226, 0, 2227, 0, 0, 0, 1069, 2221, 2222, 0, 2223, 0, 0, 0, 2224, 0, 0, 0, 0, 0, 0, 0, 1070, 
-    2216, 2217, 0, 2218, 0, 0, 0, 2219, 0, 0, 0, 0, 0, 0, 0, 2220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1071, 
-    2210, 2211, 0, 2212, 0, 0, 0, 2213, 0, 0, 0, 0, 0, 0, 0, 2214, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2215, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1072, 
-    2203, 2204, 0, 2205, 0, 0, 0, 2206, 0, 0, 0, 0, 0, 0, 0, 2207, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2208, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2209, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 
-    1056, 1057, 2202, 1058, 2200, 2201, 0, 1059, 2197, 2198, 0, 2199, 0, 0, 0, 1060, 2193, 2194, 0, 2195, 0, 0, 0, 2196, 0, 0, 0, 0, 0, 0, 0, 1061, 
-    2188, 2189, 0, 2190, 0, 0, 0, 2191, 0, 0, 0, 0, 0, 0, 0, 2192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1062, 
-    2182, 2183, 0, 2184, 0, 0, 0, 2185, 0, 0, 0, 0, 0, 0, 0, 2186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2187, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1063, 
-    2175, 2176, 0, 2177, 0, 0, 0, 2178, 0, 0, 0, 0, 0, 0, 0, 2179, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2180, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2181, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1064, 
-    2167, 2168, 0, 2169, 0, 0, 0, 2170, 0, 0, 0, 0, 0, 0, 0, 2171, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2172, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2173, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2174, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 
-    364, 365, 1055, 366, 1053, 1054, 2166, 367, 1050, 1051, 2165, 1052, 2163, 2164, 0, 368, 1046, 1047, 2162, 1048, 2160, 2161, 0, 1049, 2157, 2158, 0, 2159, 0, 0, 0, 369, 
-    1041, 1042, 2156, 1043, 2154, 2155, 0, 1044, 2151, 2152, 0, 2153, 0, 0, 0, 1045, 2147, 2148, 0, 2149, 0, 0, 0, 2150, 0, 0, 0, 0, 0, 0, 0, 370, 
-    1035, 1036, 2146, 1037, 2144, 2145, 0, 1038, 2141, 2142, 0, 2143, 0, 0, 0, 1039, 2137, 2138, 0, 2139, 0, 0, 0, 2140, 0, 0, 0, 0, 0, 0, 0, 1040, 
-    2132, 2133, 0, 2134, 0, 0, 0, 2135, 0, 0, 0, 0, 0, 0, 0, 2136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 371, 
-    1028, 1029, 2131, 1030, 2129, 2130, 0, 1031, 2126, 2127, 0, 2128, 0, 0, 0, 1032, 2122, 2123, 0, 2124, 0, 0, 0, 2125, 0, 0, 0, 0, 0, 0, 0, 1033, 
-    2117, 2118, 0, 2119, 0, 0, 0, 2120, 0, 0, 0, 0, 0, 0, 0, 2121, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1034, 
-    2111, 2112, 0, 2113, 0, 0, 0, 2114, 0, 0, 0, 0, 0, 0, 0, 2115, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2116, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 372, 
-    1020, 1021, 2110, 1022, 2108, 2109, 0, 1023, 2105, 2106, 0, 2107, 0, 0, 0, 1024, 2101, 2102, 0, 2103, 0, 0, 0, 2104, 0, 0, 0, 0, 0, 0, 0, 1025, 
-    2096, 2097, 0, 2098, 0, 0, 0, 2099, 0, 0, 0, 0, 0, 0, 0, 2100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1026, 
-    2090, 2091, 0, 2092, 0, 0, 0, 2093, 0, 0, 0, 0, 0, 0, 0, 2094, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2095, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1027, 
-    2083, 2084, 0, 2085, 0, 0, 0, 2086, 0, 0, 0, 0, 0, 0, 0, 2087, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2088, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2089, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 373, 
-    1011, 1012, 2082, 1013, 2080, 2081, 0, 1014, 2077, 2078, 0, 2079, 0, 0, 0, 1015, 2073, 2074, 0, 2075, 0, 0, 0, 2076, 0, 0, 0, 0, 0, 0, 0, 1016, 
-    2068, 2069, 0, 2070, 0, 0, 0, 2071, 0, 0, 0, 0, 0, 0, 0, 2072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1017, 
-    2062, 2063, 0, 2064, 0, 0, 0, 2065, 0, 0, 0, 0, 0, 0, 0, 2066, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2067, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1018, 
-    2055, 2056, 0, 2057, 0, 0, 0, 2058, 0, 0, 0, 0, 0, 0, 0, 2059, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2060, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2061, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1019, 
-    2047, 2048, 0, 2049, 0, 0, 0, 2050, 0, 0, 0, 0, 0, 0, 0, 2051, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2052, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2053, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2054, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 374, 
-    1001, 1002, 2046, 1003, 2044, 2045, 0, 1004, 2041, 2042, 0, 2043, 0, 0, 0, 1005, 2037, 2038, 0, 2039, 0, 0, 0, 2040, 0, 0, 0, 0, 0, 0, 0, 1006, 
-    2032, 2033, 0, 2034, 0, 0, 0, 2035, 0, 0, 0, 0, 0, 0, 0, 2036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1007, 
-    2026, 2027, 0, 2028, 0, 0, 0, 2029, 0, 0, 0, 0, 0, 0, 0, 2030, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2031, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1008, 
-    2019, 2020, 0, 2021, 0, 0, 0, 2022, 0, 0, 0, 0, 0, 0, 0, 2023, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2024, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2025, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1009, 
-    2011, 2012, 0, 2013, 0, 0, 0, 2014, 0, 0, 0, 0, 0, 0, 0, 2015, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2016, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2017, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2018, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1010, 
-    2002, 2003, 0, 2004, 0, 0, 0, 2005, 0, 0, 0, 0, 0, 0, 0, 2006, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2007, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2008, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2009, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2010, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 
-    0, 1, 90, 2, 88, 89, 363, 3, 85, 86, 362, 87, 360, 361, 1000, 4, 81, 82, 359, 83, 357, 358, 999, 84, 354, 355, 998, 356, 996, 997, 2001, 5, 
-    76, 77, 353, 78, 351, 352, 995, 79, 348, 349, 994, 350, 992, 993, 2000, 80, 344, 345, 991, 346, 989, 990, 1999, 347, 986, 987, 1998, 988, 1996, 1997, 0, 6, 
-    70, 71, 343, 72, 341, 342, 985, 73, 338, 339, 984, 340, 982, 983, 1995, 74, 334, 335, 981, 336, 979, 980, 1994, 337, 976, 977, 1993, 978, 1991, 1992, 0, 75, 
-    329, 330, 975, 331, 973, 974, 1990, 332, 970, 971, 1989, 972, 1987, 1988, 0, 333, 966, 967, 1986, 968, 1984, 1985, 0, 969, 1981, 1982, 0, 1983, 0, 0, 0, 7, 
-    63, 64, 328, 65, 326, 327, 965, 66, 323, 324, 964, 325, 962, 963, 1980, 67, 319, 320, 961, 321, 959, 960, 1979, 322, 956, 957, 1978, 958, 1976, 1977, 0, 68, 
-    314, 315, 955, 316, 953, 954, 1975, 317, 950, 951, 1974, 952, 1972, 1973, 0, 318, 946, 947, 1971, 948, 1969, 1970, 0, 949, 1966, 1967, 0, 1968, 0, 0, 0, 69, 
-    308, 309, 945, 310, 943, 944, 1965, 311, 940, 941, 1964, 942, 1962, 1963, 0, 312, 936, 937, 1961, 938, 1959, 1960, 0, 939, 1956, 1957, 0, 1958, 0, 0, 0, 313, 
-    931, 932, 1955, 933, 1953, 1954, 0, 934, 1950, 1951, 0, 1952, 0, 0, 0, 935, 1946, 1947, 0, 1948, 0, 0, 0, 1949, 0, 0, 0, 0, 0, 0, 0, 8, 
-    55, 56, 307, 57, 305, 306, 930, 58, 302, 303, 929, 304, 927, 928, 1945, 59, 298, 299, 926, 300, 924, 925, 1944, 301, 921, 922, 1943, 923, 1941, 1942, 0, 60, 
-    293, 294, 920, 295, 918, 919, 1940, 296, 915, 916, 1939, 917, 1937, 1938, 0, 297, 911, 912, 1936, 913, 1934, 1935, 0, 914, 1931, 1932, 0, 1933, 0, 0, 0, 61, 
-    287, 288, 910, 289, 908, 909, 1930, 290, 905, 906, 1929, 907, 1927, 1928, 0, 291, 901, 902, 1926, 903, 1924, 1925, 0, 904, 1921, 1922, 0, 1923, 0, 0, 0, 292, 
-    896, 897, 1920, 898, 1918, 1919, 0, 899, 1915, 1916, 0, 1917, 0, 0, 0, 900, 1911, 1912, 0, 1913, 0, 0, 0, 1914, 0, 0, 0, 0, 0, 0, 0, 62, 
-    280, 281, 895, 282, 893, 894, 1910, 283, 890, 891, 1909, 892, 1907, 1908, 0, 284, 886, 887, 1906, 888, 1904, 1905, 0, 889, 1901, 1902, 0, 1903, 0, 0, 0, 285, 
-    881, 882, 1900, 883, 1898, 1899, 0, 884, 1895, 1896, 0, 1897, 0, 0, 0, 885, 1891, 1892, 0, 1893, 0, 0, 0, 1894, 0, 0, 0, 0, 0, 0, 0, 286, 
-    875, 876, 1890, 877, 1888, 1889, 0, 878, 1885, 1886, 0, 1887, 0, 0, 0, 879, 1881, 1882, 0, 1883, 0, 0, 0, 1884, 0, 0, 0, 0, 0, 0, 0, 880, 
-    1876, 1877, 0, 1878, 0, 0, 0, 1879, 0, 0, 0, 0, 0, 0, 0, 1880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 
-    46, 47, 279, 48, 277, 278, 874, 49, 274, 275, 873, 276, 871, 872, 1875, 50, 270, 271, 870, 272, 868, 869, 1874, 273, 865, 866, 1873, 867, 1871, 1872, 0, 51, 
-    265, 266, 864, 267, 862, 863, 1870, 268, 859, 860, 1869, 861, 1867, 1868, 0, 269, 855, 856, 1866, 857, 1864, 1865, 0, 858, 1861, 1862, 0, 1863, 0, 0, 0, 52, 
-    259, 260, 854, 261, 852, 853, 1860, 262, 849, 850, 1859, 851, 1857, 1858, 0, 263, 845, 846, 1856, 847, 1854, 1855, 0, 848, 1851, 1852, 0, 1853, 0, 0, 0, 264, 
-    840, 841, 1850, 842, 1848, 1849, 0, 843, 1845, 1846, 0, 1847, 0, 0, 0, 844, 1841, 1842, 0, 1843, 0, 0, 0, 1844, 0, 0, 0, 0, 0, 0, 0, 53, 
-    252, 253, 839, 254, 837, 838, 1840, 255, 834, 835, 1839, 836, 1837, 1838, 0, 256, 830, 831, 1836, 832, 1834, 1835, 0, 833, 1831, 1832, 0, 1833, 0, 0, 0, 257, 
-    825, 826, 1830, 827, 1828, 1829, 0, 828, 1825, 1826, 0, 1827, 0, 0, 0, 829, 1821, 1822, 0, 1823, 0, 0, 0, 1824, 0, 0, 0, 0, 0, 0, 0, 258, 
-    819, 820, 1820, 821, 1818, 1819, 0, 822, 1815, 1816, 0, 1817, 0, 0, 0, 823, 1811, 1812, 0, 1813, 0, 0, 0, 1814, 0, 0, 0, 0, 0, 0, 0, 824, 
-    1806, 1807, 0, 1808, 0, 0, 0, 1809, 0, 0, 0, 0, 0, 0, 0, 1810, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 
-    244, 245, 818, 246, 816, 817, 1805, 247, 813, 814, 1804, 815, 1802, 1803, 0, 248, 809, 810, 1801, 811, 1799, 1800, 0, 812, 1796, 1797, 0, 1798, 0, 0, 0, 249, 
-    804, 805, 1795, 806, 1793, 1794, 0, 807, 1790, 1791, 0, 1792, 0, 0, 0, 808, 1786, 1787, 0, 1788, 0, 0, 0, 1789, 0, 0, 0, 0, 0, 0, 0, 250, 
-    798, 799, 1785, 800, 1783, 1784, 0, 801, 1780, 1781, 0, 1782, 0, 0, 0, 802, 1776, 1777, 0, 1778, 0, 0, 0, 1779, 0, 0, 0, 0, 0, 0, 0, 803, 
-    1771, 1772, 0, 1773, 0, 0, 0, 1774, 0, 0, 0, 0, 0, 0, 0, 1775, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 251, 
-    791, 792, 1770, 793, 1768, 1769, 0, 794, 1765, 1766, 0, 1767, 0, 0, 0, 795, 1761, 1762, 0, 1763, 0, 0, 0, 1764, 0, 0, 0, 0, 0, 0, 0, 796, 
-    1756, 1757, 0, 1758, 0, 0, 0, 1759, 0, 0, 0, 0, 0, 0, 0, 1760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 797, 
-    1750, 1751, 0, 1752, 0, 0, 0, 1753, 0, 0, 0, 0, 0, 0, 0, 1754, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1755, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
-    36, 37, 243, 38, 241, 242, 790, 39, 238, 239, 789, 240, 787, 788, 1749, 40, 234, 235, 786, 236, 784, 785, 1748, 237, 781, 782, 1747, 783, 1745, 1746, 0, 41, 
-    229, 230, 780, 231, 778, 779, 1744, 232, 775, 776, 1743, 777, 1741, 1742, 0, 233, 771, 772, 1740, 773, 1738, 1739, 0, 774, 1735, 1736, 0, 1737, 0, 0, 0, 42, 
-    223, 224, 770, 225, 768, 769, 1734, 226, 765, 766, 1733, 767, 1731, 1732, 0, 227, 761, 762, 1730, 763, 1728, 1729, 0, 764, 1725, 1726, 0, 1727, 0, 0, 0, 228, 
-    756, 757, 1724, 758, 1722, 1723, 0, 759, 1719, 1720, 0, 1721, 0, 0, 0, 760, 1715, 1716, 0, 1717, 0, 0, 0, 1718, 0, 0, 0, 0, 0, 0, 0, 43, 
-    216, 217, 755, 218, 753, 754, 1714, 219, 750, 751, 1713, 752, 1711, 1712, 0, 220, 746, 747, 1710, 748, 1708, 1709, 0, 749, 1705, 1706, 0, 1707, 0, 0, 0, 221, 
-    741, 742, 1704, 743, 1702, 1703, 0, 744, 1699, 1700, 0, 1701, 0, 0, 0, 745, 1695, 1696, 0, 1697, 0, 0, 0, 1698, 0, 0, 0, 0, 0, 0, 0, 222, 
-    735, 736, 1694, 737, 1692, 1693, 0, 738, 1689, 1690, 0, 1691, 0, 0, 0, 739, 1685, 1686, 0, 1687, 0, 0, 0, 1688, 0, 0, 0, 0, 0, 0, 0, 740, 
-    1680, 1681, 0, 1682, 0, 0, 0, 1683, 0, 0, 0, 0, 0, 0, 0, 1684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 
-    208, 209, 734, 210, 732, 733, 1679, 211, 729, 730, 1678, 731, 1676, 1677, 0, 212, 725, 726, 1675, 727, 1673, 1674, 0, 728, 1670, 1671, 0, 1672, 0, 0, 0, 213, 
-    720, 721, 1669, 722, 1667, 1668, 0, 723, 1664, 1665, 0, 1666, 0, 0, 0, 724, 1660, 1661, 0, 1662, 0, 0, 0, 1663, 0, 0, 0, 0, 0, 0, 0, 214, 
-    714, 715, 1659, 716, 1657, 1658, 0, 717, 1654, 1655, 0, 1656, 0, 0, 0, 718, 1650, 1651, 0, 1652, 0, 0, 0, 1653, 0, 0, 0, 0, 0, 0, 0, 719, 
-    1645, 1646, 0, 1647, 0, 0, 0, 1648, 0, 0, 0, 0, 0, 0, 0, 1649, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 215, 
-    707, 708, 1644, 709, 1642, 1643, 0, 710, 1639, 1640, 0, 1641, 0, 0, 0, 711, 1635, 1636, 0, 1637, 0, 0, 0, 1638, 0, 0, 0, 0, 0, 0, 0, 712, 
-    1630, 1631, 0, 1632, 0, 0, 0, 1633, 0, 0, 0, 0, 0, 0, 0, 1634, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 713, 
-    1624, 1625, 0, 1626, 0, 0, 0, 1627, 0, 0, 0, 0, 0, 0, 0, 1628, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1629, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 
-    199, 200, 706, 201, 704, 705, 1623, 202, 701, 702, 1622, 703, 1620, 1621, 0, 203, 697, 698, 1619, 699, 1617, 1618, 0, 700, 1614, 1615, 0, 1616, 0, 0, 0, 204, 
-    692, 693, 1613, 694, 1611, 1612, 0, 695, 1608, 1609, 0, 1610, 0, 0, 0, 696, 1604, 1605, 0, 1606, 0, 0, 0, 1607, 0, 0, 0, 0, 0, 0, 0, 205, 
-    686, 687, 1603, 688, 1601, 1602, 0, 689, 1598, 1599, 0, 1600, 0, 0, 0, 690, 1594, 1595, 0, 1596, 0, 0, 0, 1597, 0, 0, 0, 0, 0, 0, 0, 691, 
-    1589, 1590, 0, 1591, 0, 0, 0, 1592, 0, 0, 0, 0, 0, 0, 0, 1593, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 206, 
-    679, 680, 1588, 681, 1586, 1587, 0, 682, 1583, 1584, 0, 1585, 0, 0, 0, 683, 1579, 1580, 0, 1581, 0, 0, 0, 1582, 0, 0, 0, 0, 0, 0, 0, 684, 
-    1574, 1575, 0, 1576, 0, 0, 0, 1577, 0, 0, 0, 0, 0, 0, 0, 1578, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 685, 
-    1568, 1569, 0, 1570, 0, 0, 0, 1571, 0, 0, 0, 0, 0, 0, 0, 1572, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1573, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 207, 
-    671, 672, 1567, 673, 1565, 1566, 0, 674, 1562, 1563, 0, 1564, 0, 0, 0, 675, 1558, 1559, 0, 1560, 0, 0, 0, 1561, 0, 0, 0, 0, 0, 0, 0, 676, 
-    1553, 1554, 0, 1555, 0, 0, 0, 1556, 0, 0, 0, 0, 0, 0, 0, 1557, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 677, 
-    1547, 1548, 0, 1549, 0, 0, 0, 1550, 0, 0, 0, 0, 0, 0, 0, 1551, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1552, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 678, 
-    1540, 1541, 0, 1542, 0, 0, 0, 1543, 0, 0, 0, 0, 0, 0, 0, 1544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1545, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1546, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 
-    25, 26, 198, 27, 196, 197, 670, 28, 193, 194, 669, 195, 667, 668, 1539, 29, 189, 190, 666, 191, 664, 665, 1538, 192, 661, 662, 1537, 663, 1535, 1536, 0, 30, 
-    184, 185, 660, 186, 658, 659, 1534, 187, 655, 656, 1533, 657, 1531, 1532, 0, 188, 651, 652, 1530, 653, 1528, 1529, 0, 654, 1525, 1526, 0, 1527, 0, 0, 0, 31, 
-    178, 179, 650, 180, 648, 649, 1524, 181, 645, 646, 1523, 647, 1521, 1522, 0, 182, 641, 642, 1520, 643, 1518, 1519, 0, 644, 1515, 1516, 0, 1517, 0, 0, 0, 183, 
-    636, 637, 1514, 638, 1512, 1513, 0, 639, 1509, 1510, 0, 1511, 0, 0, 0, 640, 1505, 1506, 0, 1507, 0, 0, 0, 1508, 0, 0, 0, 0, 0, 0, 0, 32, 
-    171, 172, 635, 173, 633, 634, 1504, 174, 630, 631, 1503, 632, 1501, 1502, 0, 175, 626, 627, 1500, 628, 1498, 1499, 0, 629, 1495, 1496, 0, 1497, 0, 0, 0, 176, 
-    621, 622, 1494, 623, 1492, 1493, 0, 624, 1489, 1490, 0, 1491, 0, 0, 0, 625, 1485, 1486, 0, 1487, 0, 0, 0, 1488, 0, 0, 0, 0, 0, 0, 0, 177, 
-    615, 616, 1484, 617, 1482, 1483, 0, 618, 1479, 1480, 0, 1481, 0, 0, 0, 619, 1475, 1476, 0, 1477, 0, 0, 0, 1478, 0, 0, 0, 0, 0, 0, 0, 620, 
-    1470, 1471, 0, 1472, 0, 0, 0, 1473, 0, 0, 0, 0, 0, 0, 0, 1474, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 
-    163, 164, 614, 165, 612, 613, 1469, 166, 609, 610, 1468, 611, 1466, 1467, 0, 167, 605, 606, 1465, 607, 1463, 1464, 0, 608, 1460, 1461, 0, 1462, 0, 0, 0, 168, 
-    600, 601, 1459, 602, 1457, 1458, 0, 603, 1454, 1455, 0, 1456, 0, 0, 0, 604, 1450, 1451, 0, 1452, 0, 0, 0, 1453, 0, 0, 0, 0, 0, 0, 0, 169, 
-    594, 595, 1449, 596, 1447, 1448, 0, 597, 1444, 1445, 0, 1446, 0, 0, 0, 598, 1440, 1441, 0, 1442, 0, 0, 0, 1443, 0, 0, 0, 0, 0, 0, 0, 599, 
-    1435, 1436, 0, 1437, 0, 0, 0, 1438, 0, 0, 0, 0, 0, 0, 0, 1439, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 170, 
-    587, 588, 1434, 589, 1432, 1433, 0, 590, 1429, 1430, 0, 1431, 0, 0, 0, 591, 1425, 1426, 0, 1427, 0, 0, 0, 1428, 0, 0, 0, 0, 0, 0, 0, 592, 
-    1420, 1421, 0, 1422, 0, 0, 0, 1423, 0, 0, 0, 0, 0, 0, 0, 1424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 593, 
-    1414, 1415, 0, 1416, 0, 0, 0, 1417, 0, 0, 0, 0, 0, 0, 0, 1418, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1419, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 
-    154, 155, 586, 156, 584, 585, 1413, 157, 581, 582, 1412, 583, 1410, 1411, 0, 158, 577, 578, 1409, 579, 1407, 1408, 0, 580, 1404, 1405, 0, 1406, 0, 0, 0, 159, 
-    572, 573, 1403, 574, 1401, 1402, 0, 575, 1398, 1399, 0, 1400, 0, 0, 0, 576, 1394, 1395, 0, 1396, 0, 0, 0, 1397, 0, 0, 0, 0, 0, 0, 0, 160, 
-    566, 567, 1393, 568, 1391, 1392, 0, 569, 1388, 1389, 0, 1390, 0, 0, 0, 570, 1384, 1385, 0, 1386, 0, 0, 0, 1387, 0, 0, 0, 0, 0, 0, 0, 571, 
-    1379, 1380, 0, 1381, 0, 0, 0, 1382, 0, 0, 0, 0, 0, 0, 0, 1383, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 161, 
-    559, 560, 1378, 561, 1376, 1377, 0, 562, 1373, 1374, 0, 1375, 0, 0, 0, 563, 1369, 1370, 0, 1371, 0, 0, 0, 1372, 0, 0, 0, 0, 0, 0, 0, 564, 
-    1364, 1365, 0, 1366, 0, 0, 0, 1367, 0, 0, 0, 0, 0, 0, 0, 1368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 565, 
-    1358, 1359, 0, 1360, 0, 0, 0, 1361, 0, 0, 0, 0, 0, 0, 0, 1362, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1363, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 162, 
-    551, 552, 1357, 553, 1355, 1356, 0, 554, 1352, 1353, 0, 1354, 0, 0, 0, 555, 1348, 1349, 0, 1350, 0, 0, 0, 1351, 0, 0, 0, 0, 0, 0, 0, 556, 
-    1343, 1344, 0, 1345, 0, 0, 0, 1346, 0, 0, 0, 0, 0, 0, 0, 1347, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 557, 
-    1337, 1338, 0, 1339, 0, 0, 0, 1340, 0, 0, 0, 0, 0, 0, 0, 1341, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1342, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 558, 
-    1330, 1331, 0, 1332, 0, 0, 0, 1333, 0, 0, 0, 0, 0, 0, 0, 1334, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1335, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1336, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 
-    144, 145, 550, 146, 548, 549, 1329, 147, 545, 546, 1328, 547, 1326, 1327, 0, 148, 541, 542, 1325, 543, 1323, 1324, 0, 544, 1320, 1321, 0, 1322, 0, 0, 0, 149, 
-    536, 537, 1319, 538, 1317, 1318, 0, 539, 1314, 1315, 0, 1316, 0, 0, 0, 540, 1310, 1311, 0, 1312, 0, 0, 0, 1313, 0, 0, 0, 0, 0, 0, 0, 150, 
-    530, 531, 1309, 532, 1307, 1308, 0, 533, 1304, 1305, 0, 1306, 0, 0, 0, 534, 1300, 1301, 0, 1302, 0, 0, 0, 1303, 0, 0, 0, 0, 0, 0, 0, 535, 
-    1295, 1296, 0, 1297, 0, 0, 0, 1298, 0, 0, 0, 0, 0, 0, 0, 1299, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 151, 
-    523, 524, 1294, 525, 1292, 1293, 0, 526, 1289, 1290, 0, 1291, 0, 0, 0, 527, 1285, 1286, 0, 1287, 0, 0, 0, 1288, 0, 0, 0, 0, 0, 0, 0, 528, 
-    1280, 1281, 0, 1282, 0, 0, 0, 1283, 0, 0, 0, 0, 0, 0, 0, 1284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 529, 
-    1274, 1275, 0, 1276, 0, 0, 0, 1277, 0, 0, 0, 0, 0, 0, 0, 1278, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1279, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 
-    515, 516, 1273, 517, 1271, 1272, 0, 518, 1268, 1269, 0, 1270, 0, 0, 0, 519, 1264, 1265, 0, 1266, 0, 0, 0, 1267, 0, 0, 0, 0, 0, 0, 0, 520, 
-    1259, 1260, 0, 1261, 0, 0, 0, 1262, 0, 0, 0, 0, 0, 0, 0, 1263, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 521, 
-    1253, 1254, 0, 1255, 0, 0, 0, 1256, 0, 0, 0, 0, 0, 0, 0, 1257, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1258, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 522, 
-    1246, 1247, 0, 1248, 0, 0, 0, 1249, 0, 0, 0, 0, 0, 0, 0, 1250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1251, 
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-    129, 130, 495, 131, 493, 494, 1204, 132, 490, 491, 1203, 492, 1201, 1202, 0, 133, 486, 487, 1200, 488, 1198, 1199, 0, 489, 1195, 1196, 0, 1197, 0, 0, 0, 19, 
-    123, 124, 485, 125, 483, 484, 1194, 126, 480, 481, 1193, 482, 1191, 1192, 0, 127, 476, 477, 1190, 478, 1188, 1189, 0, 479, 1185, 1186, 0, 1187, 0, 0, 0, 128, 
-    471, 472, 1184, 473, 1182, 1183, 0, 474, 1179, 1180, 0, 1181, 0, 0, 0, 475, 1175, 1176, 0, 1177, 0, 0, 0, 1178, 0, 0, 0, 0, 0, 0, 0, 20, 
-    116, 117, 470, 118, 468, 469, 1174, 119, 465, 466, 1173, 467, 1171, 1172, 0, 120, 461, 462, 1170, 463, 1168, 1169, 0, 464, 1165, 1166, 0, 1167, 0, 0, 0, 121, 
-    456, 457, 1164, 458, 1162, 1163, 0, 459, 1159, 1160, 0, 1161, 0, 0, 0, 460, 1155, 1156, 0, 1157, 0, 0, 0, 1158, 0, 0, 0, 0, 0, 0, 0, 122, 
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-    407, 408, 1073, 409, 1071, 1072, 0, 410, 1068, 1069, 0, 1070, 0, 0, 0, 411, 1064, 1065, 0, 1066, 0, 0, 0, 1067, 0, 0, 0, 0, 0, 0, 0, 105, 
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-    27, 28, 0, 29, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 
-    19, 20, 0, 21, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 
-    10, 11, 0, 12, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 
-    0, 1, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
-};
-
-const unsigned _bitcount[] =
-{
-    0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 1, 
-    2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 2, 
-    3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 3, 
-    4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 4, 
-    5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 5, 
-    6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 6, 
-    7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 7, 
-    8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 8, 
-    9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 9, 
-    10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 10, 
-    11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 11, 
-    12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 12, 13, 13, 14, 13, 14, 14, 15, 13, 14, 14, 15, 14, 15, 15, 16, 
-};
-
-const unsigned _offsets52c[] = { 0, 73629072, 122715120, 132988944, 133767264 };
-
-const unsigned _offsets48c[] =
-{
-    0, 3365856, 17864928, 42030048, 62167648, 71194848, 73361376, 73617632, 73629072, 0, 0, 0, 0, 0, 0, 0,
-    0,  906192,  4128208,  8443408, 11221008, 12123728, 12263504, 12271512,        0, 0, 0, 0, 0, 0, 0, 0,
-    0,  201376,   776736,  1371936,  1649696,  1707936,  1712304,        0,        0, 0, 0, 0, 0, 0, 0, 0,
-    0,   35960,   115320,   174840,   192760,   194580,        0,        0,        0, 0, 0, 0, 0, 0, 0, 0,
-    0,    4960,    12896,    16736,    17296,        0,        0,        0,        0, 0, 0, 0, 0, 0, 0, 0,
-    0,     496,     1008,     1128,        0,        0,        0,        0,        0, 0, 0, 0, 0, 0, 0, 0,
-    0,      32,       48,        0,        0,        0,        0,        0,        0, 0, 0, 0, 0, 0, 0, 0,
-    0,       1,        0,        0,        0,        0,        0,        0,        0, 0, 0, 0, 0, 0, 0, 0
-};
-
-const unsigned _offsets32c[] =
-{
-    0, 11440, 139568, 663728, 1682928, 2702128, 3226288, 3354416, 3365856, 0, 0, 0, 0, 0, 0, 0,
-    0,  8008,  77896, 296296,  609896,  828296,  898184,  906192,       0, 0, 0, 0, 0, 0, 0, 0,
-    0,  4368,  33488, 100688,  167888,  197008,  201376,       0,       0, 0, 0, 0, 0, 0, 0, 0,
-    0,  1820,  10780,  25180,   34140,   35960,       0,       0,       0, 0, 0, 0, 0, 0, 0, 0,
-    0,   560,   2480,   4400,    4960,       0,       0,       0,       0, 0, 0, 0, 0, 0, 0, 0,
-    0,   120,    376,    496,       0,       0,       0,       0,       0, 0, 0, 0, 0, 0, 0, 0,
-    0,    16,     32,      0,       0,       0,       0,       0,       0, 0, 0, 0, 0, 0, 0, 0,
-    0,     1,      0,      0,       0,       0,       0,       0,       0, 0, 0, 0, 0, 0, 0, 0
-};
-
-}
-
-inline unsigned index52c7(unsigned __int64 x)
-{
-    const unsigned short *a = (const unsigned short *)&x;
-    unsigned A    = a[3],                B    = a[2],                        C    = a[1],            D   = a[0],
-             bcA  = _bitcount[A],        bcB  = _bitcount[B],                bcC  = _bitcount[C],    bcD = _bitcount[D],
-	         mulA = _choose48x[7 - bcA], mulB = _choose32x[7 - (bcA + bcB)], mulC = _choose16x[bcD];
-	return _offsets52c[bcA]                      + _table4[A] * mulA + 
-		   _offsets48c[ (bcA << 4)        + bcB] + _table [B] * mulB +
-		   _offsets32c[((bcA + bcB) << 4) + bcC] + _table [C] * mulC + 
-		                                           _table [D];
-}
\ No newline at end of file
+// Fast mapping of all 52 bit numbers with 7 bits set to an index 0 - 133M (52
+// choose 7)
+//
+// (c) 2007
+// Paul D. Senzee
+// Senzee 5
+// http://senzee.blogspot.com
+
+namespace {
+
+const unsigned _choose16x[] = {1, 16, 120, 560, 1820, 4368, 8008, 11440};
+const unsigned _choose32x[] = {1,     32,     496,    4960,
+                               35960, 201376, 906192, 3365856};
+const unsigned _choose48x[] = {1,      48,      1128,     17296,
+                               194580, 1712304, 12271512, 73629072};
+
+const unsigned _table4[] = {0, 0, 1, 5, 2, 3, 4, 3, 3, 0, 1, 2, 2, 0, 1, 0, 0};
+
+const unsigned _table[] = {
+    0,     0,     1,     119,   2,     117,   118,   559,   3,     114,   115,
+    558,   116,   556,   557,   1819,  4,     110,   111,   555,   112,   553,
+    554,   1818,  113,   550,   551,   1817,  552,   1815,  1816,  4367,  5,
+    105,   106,   549,   107,   547,   548,   1814,  108,   544,   545,   1813,
+    546,   1811,  1812,  4366,  109,   540,   541,   1810,  542,   1808,  1809,
+    4365,  543,   1805,  1806,  4364,  1807,  4362,  4363,  8007,  6,     99,
+    100,   539,   101,   537,   538,   1804,  102,   534,   535,   1803,  536,
+    1801,  1802,  4361,  103,   530,   531,   1800,  532,   1798,  1799,  4360,
+    533,   1795,  1796,  4359,  1797,  4357,  4358,  8006,  104,   525,   526,
+    1794,  527,   1792,  1793,  4356,  528,   1789,  1790,  4355,  1791,  4353,
+    4354,  8005,  529,   1785,  1786,  4352,  1787,  4350,  4351,  8004,  1788,
+    4347,  4348,  8003,  4349,  8001,  8002,  11439, 7,     92,    93,    524,
+    94,    522,   523,   1784,  95,    519,   520,   1783,  521,   1781,  1782,
+    4346,  96,    515,   516,   1780,  517,   1778,  1779,  4345,  518,   1775,
+    1776,  4344,  1777,  4342,  4343,  8000,  97,    510,   511,   1774,  512,
+    1772,  1773,  4341,  513,   1769,  1770,  4340,  1771,  4338,  4339,  7999,
+    514,   1765,  1766,  4337,  1767,  4335,  4336,  7998,  1768,  4332,  4333,
+    7997,  4334,  7995,  7996,  11438, 98,    504,   505,   1764,  506,   1762,
+    1763,  4331,  507,   1759,  1760,  4330,  1761,  4328,  4329,  7994,  508,
+    1755,  1756,  4327,  1757,  4325,  4326,  7993,  1758,  4322,  4323,  7992,
+    4324,  7990,  7991,  11437, 509,   1750,  1751,  4321,  1752,  4319,  4320,
+    7989,  1753,  4316,  4317,  7988,  4318,  7986,  7987,  11436, 1754,  4312,
+    4313,  7985,  4314,  7983,  7984,  11435, 4315,  7980,  7981,  11434, 7982,
+    11432, 11433, 0,     8,     84,    85,    503,   86,    501,   502,   1749,
+    87,    498,   499,   1748,  500,   1746,  1747,  4311,  88,    494,   495,
+    1745,  496,   1743,  1744,  4310,  497,   1740,  1741,  4309,  1742,  4307,
+    4308,  7979,  89,    489,   490,   1739,  491,   1737,  1738,  4306,  492,
+    1734,  1735,  4305,  1736,  4303,  4304,  7978,  493,   1730,  1731,  4302,
+    1732,  4300,  4301,  7977,  1733,  4297,  4298,  7976,  4299,  7974,  7975,
+    11431, 90,    483,   484,   1729,  485,   1727,  1728,  4296,  486,   1724,
+    1725,  4295,  1726,  4293,  4294,  7973,  487,   1720,  1721,  4292,  1722,
+    4290,  4291,  7972,  1723,  4287,  4288,  7971,  4289,  7969,  7970,  11430,
+    488,   1715,  1716,  4286,  1717,  4284,  4285,  7968,  1718,  4281,  4282,
+    7967,  4283,  7965,  7966,  11429, 1719,  4277,  4278,  7964,  4279,  7962,
+    7963,  11428, 4280,  7959,  7960,  11427, 7961,  11425, 11426, 0,     91,
+    476,   477,   1714,  478,   1712,  1713,  4276,  479,   1709,  1710,  4275,
+    1711,  4273,  4274,  7958,  480,   1705,  1706,  4272,  1707,  4270,  4271,
+    7957,  1708,  4267,  4268,  7956,  4269,  7954,  7955,  11424, 481,   1700,
+    1701,  4266,  1702,  4264,  4265,  7953,  1703,  4261,  4262,  7952,  4263,
+    7950,  7951,  11423, 1704,  4257,  4258,  7949,  4259,  7947,  7948,  11422,
+    4260,  7944,  7945,  11421, 7946,  11419, 11420, 0,     482,   1694,  1695,
+    4256,  1696,  4254,  4255,  7943,  1697,  4251,  4252,  7942,  4253,  7940,
+    7941,  11418, 1698,  4247,  4248,  7939,  4249,  7937,  7938,  11417, 4250,
+    7934,  7935,  11416, 7936,  11414, 11415, 0,     1699,  4242,  4243,  7933,
+    4244,  7931,  7932,  11413, 4245,  7928,  7929,  11412, 7930,  11410, 11411,
+    0,     4246,  7924,  7925,  11409, 7926,  11407, 11408, 0,     7927,  11404,
+    11405, 0,     11406, 0,     0,     0,     9,     75,    76,    475,   77,
+    473,   474,   1693,  78,    470,   471,   1692,  472,   1690,  1691,  4241,
+    79,    466,   467,   1689,  468,   1687,  1688,  4240,  469,   1684,  1685,
+    4239,  1686,  4237,  4238,  7923,  80,    461,   462,   1683,  463,   1681,
+    1682,  4236,  464,   1678,  1679,  4235,  1680,  4233,  4234,  7922,  465,
+    1674,  1675,  4232,  1676,  4230,  4231,  7921,  1677,  4227,  4228,  7920,
+    4229,  7918,  7919,  11403, 81,    455,   456,   1673,  457,   1671,  1672,
+    4226,  458,   1668,  1669,  4225,  1670,  4223,  4224,  7917,  459,   1664,
+    1665,  4222,  1666,  4220,  4221,  7916,  1667,  4217,  4218,  7915,  4219,
+    7913,  7914,  11402, 460,   1659,  1660,  4216,  1661,  4214,  4215,  7912,
+    1662,  4211,  4212,  7911,  4213,  7909,  7910,  11401, 1663,  4207,  4208,
+    7908,  4209,  7906,  7907,  11400, 4210,  7903,  7904,  11399, 7905,  11397,
+    11398, 0,     82,    448,   449,   1658,  450,   1656,  1657,  4206,  451,
+    1653,  1654,  4205,  1655,  4203,  4204,  7902,  452,   1649,  1650,  4202,
+    1651,  4200,  4201,  7901,  1652,  4197,  4198,  7900,  4199,  7898,  7899,
+    11396, 453,   1644,  1645,  4196,  1646,  4194,  4195,  7897,  1647,  4191,
+    4192,  7896,  4193,  7894,  7895,  11395, 1648,  4187,  4188,  7893,  4189,
+    7891,  7892,  11394, 4190,  7888,  7889,  11393, 7890,  11391, 11392, 0,
+    454,   1638,  1639,  4186,  1640,  4184,  4185,  7887,  1641,  4181,  4182,
+    7886,  4183,  7884,  7885,  11390, 1642,  4177,  4178,  7883,  4179,  7881,
+    7882,  11389, 4180,  7878,  7879,  11388, 7880,  11386, 11387, 0,     1643,
+    4172,  4173,  7877,  4174,  7875,  7876,  11385, 4175,  7872,  7873,  11384,
+    7874,  11382, 11383, 0,     4176,  7868,  7869,  11381, 7870,  11379, 11380,
+    0,     7871,  11376, 11377, 0,     11378, 0,     0,     0,     83,    440,
+    441,   1637,  442,   1635,  1636,  4171,  443,   1632,  1633,  4170,  1634,
+    4168,  4169,  7867,  444,   1628,  1629,  4167,  1630,  4165,  4166,  7866,
+    1631,  4162,  4163,  7865,  4164,  7863,  7864,  11375, 445,   1623,  1624,
+    4161,  1625,  4159,  4160,  7862,  1626,  4156,  4157,  7861,  4158,  7859,
+    7860,  11374, 1627,  4152,  4153,  7858,  4154,  7856,  7857,  11373, 4155,
+    7853,  7854,  11372, 7855,  11370, 11371, 0,     446,   1617,  1618,  4151,
+    1619,  4149,  4150,  7852,  1620,  4146,  4147,  7851,  4148,  7849,  7850,
+    11369, 1621,  4142,  4143,  7848,  4144,  7846,  7847,  11368, 4145,  7843,
+    7844,  11367, 7845,  11365, 11366, 0,     1622,  4137,  4138,  7842,  4139,
+    7840,  7841,  11364, 4140,  7837,  7838,  11363, 7839,  11361, 11362, 0,
+    4141,  7833,  7834,  11360, 7835,  11358, 11359, 0,     7836,  11355, 11356,
+    0,     11357, 0,     0,     0,     447,   1610,  1611,  4136,  1612,  4134,
+    4135,  7832,  1613,  4131,  4132,  7831,  4133,  7829,  7830,  11354, 1614,
+    4127,  4128,  7828,  4129,  7826,  7827,  11353, 4130,  7823,  7824,  11352,
+    7825,  11350, 11351, 0,     1615,  4122,  4123,  7822,  4124,  7820,  7821,
+    11349, 4125,  7817,  7818,  11348, 7819,  11346, 11347, 0,     4126,  7813,
+    7814,  11345, 7815,  11343, 11344, 0,     7816,  11340, 11341, 0,     11342,
+    0,     0,     0,     1616,  4116,  4117,  7812,  4118,  7810,  7811,  11339,
+    4119,  7807,  7808,  11338, 7809,  11336, 11337, 0,     4120,  7803,  7804,
+    11335, 7805,  11333, 11334, 0,     7806,  11330, 11331, 0,     11332, 0,
+    0,     0,     4121,  7798,  7799,  11329, 7800,  11327, 11328, 0,     7801,
+    11324, 11325, 0,     11326, 0,     0,     0,     7802,  11320, 11321, 0,
+    11322, 0,     0,     0,     11323, 0,     0,     0,     0,     0,     0,
+    0,     10,    65,    66,    439,   67,    437,   438,   1609,  68,    434,
+    435,   1608,  436,   1606,  1607,  4115,  69,    430,   431,   1605,  432,
+    1603,  1604,  4114,  433,   1600,  1601,  4113,  1602,  4111,  4112,  7797,
+    70,    425,   426,   1599,  427,   1597,  1598,  4110,  428,   1594,  1595,
+    4109,  1596,  4107,  4108,  7796,  429,   1590,  1591,  4106,  1592,  4104,
+    4105,  7795,  1593,  4101,  4102,  7794,  4103,  7792,  7793,  11319, 71,
+    419,   420,   1589,  421,   1587,  1588,  4100,  422,   1584,  1585,  4099,
+    1586,  4097,  4098,  7791,  423,   1580,  1581,  4096,  1582,  4094,  4095,
+    7790,  1583,  4091,  4092,  7789,  4093,  7787,  7788,  11318, 424,   1575,
+    1576,  4090,  1577,  4088,  4089,  7786,  1578,  4085,  4086,  7785,  4087,
+    7783,  7784,  11317, 1579,  4081,  4082,  7782,  4083,  7780,  7781,  11316,
+    4084,  7777,  7778,  11315, 7779,  11313, 11314, 0,     72,    412,   413,
+    1574,  414,   1572,  1573,  4080,  415,   1569,  1570,  4079,  1571,  4077,
+    4078,  7776,  416,   1565,  1566,  4076,  1567,  4074,  4075,  7775,  1568,
+    4071,  4072,  7774,  4073,  7772,  7773,  11312, 417,   1560,  1561,  4070,
+    1562,  4068,  4069,  7771,  1563,  4065,  4066,  7770,  4067,  7768,  7769,
+    11311, 1564,  4061,  4062,  7767,  4063,  7765,  7766,  11310, 4064,  7762,
+    7763,  11309, 7764,  11307, 11308, 0,     418,   1554,  1555,  4060,  1556,
+    4058,  4059,  7761,  1557,  4055,  4056,  7760,  4057,  7758,  7759,  11306,
+    1558,  4051,  4052,  7757,  4053,  7755,  7756,  11305, 4054,  7752,  7753,
+    11304, 7754,  11302, 11303, 0,     1559,  4046,  4047,  7751,  4048,  7749,
+    7750,  11301, 4049,  7746,  7747,  11300, 7748,  11298, 11299, 0,     4050,
+    7742,  7743,  11297, 7744,  11295, 11296, 0,     7745,  11292, 11293, 0,
+    11294, 0,     0,     0,     73,    404,   405,   1553,  406,   1551,  1552,
+    4045,  407,   1548,  1549,  4044,  1550,  4042,  4043,  7741,  408,   1544,
+    1545,  4041,  1546,  4039,  4040,  7740,  1547,  4036,  4037,  7739,  4038,
+    7737,  7738,  11291, 409,   1539,  1540,  4035,  1541,  4033,  4034,  7736,
+    1542,  4030,  4031,  7735,  4032,  7733,  7734,  11290, 1543,  4026,  4027,
+    7732,  4028,  7730,  7731,  11289, 4029,  7727,  7728,  11288, 7729,  11286,
+    11287, 0,     410,   1533,  1534,  4025,  1535,  4023,  4024,  7726,  1536,
+    4020,  4021,  7725,  4022,  7723,  7724,  11285, 1537,  4016,  4017,  7722,
+    4018,  7720,  7721,  11284, 4019,  7717,  7718,  11283, 7719,  11281, 11282,
+    0,     1538,  4011,  4012,  7716,  4013,  7714,  7715,  11280, 4014,  7711,
+    7712,  11279, 7713,  11277, 11278, 0,     4015,  7707,  7708,  11276, 7709,
+    11274, 11275, 0,     7710,  11271, 11272, 0,     11273, 0,     0,     0,
+    411,   1526,  1527,  4010,  1528,  4008,  4009,  7706,  1529,  4005,  4006,
+    7705,  4007,  7703,  7704,  11270, 1530,  4001,  4002,  7702,  4003,  7700,
+    7701,  11269, 4004,  7697,  7698,  11268, 7699,  11266, 11267, 0,     1531,
+    3996,  3997,  7696,  3998,  7694,  7695,  11265, 3999,  7691,  7692,  11264,
+    7693,  11262, 11263, 0,     4000,  7687,  7688,  11261, 7689,  11259, 11260,
+    0,     7690,  11256, 11257, 0,     11258, 0,     0,     0,     1532,  3990,
+    3991,  7686,  3992,  7684,  7685,  11255, 3993,  7681,  7682,  11254, 7683,
+    11252, 11253, 0,     3994,  7677,  7678,  11251, 7679,  11249, 11250, 0,
+    7680,  11246, 11247, 0,     11248, 0,     0,     0,     3995,  7672,  7673,
+    11245, 7674,  11243, 11244, 0,     7675,  11240, 11241, 0,     11242, 0,
+    0,     0,     7676,  11236, 11237, 0,     11238, 0,     0,     0,     11239,
+    0,     0,     0,     0,     0,     0,     0,     74,    395,   396,   1525,
+    397,   1523,  1524,  3989,  398,   1520,  1521,  3988,  1522,  3986,  3987,
+    7671,  399,   1516,  1517,  3985,  1518,  3983,  3984,  7670,  1519,  3980,
+    3981,  7669,  3982,  7667,  7668,  11235, 400,   1511,  1512,  3979,  1513,
+    3977,  3978,  7666,  1514,  3974,  3975,  7665,  3976,  7663,  7664,  11234,
+    1515,  3970,  3971,  7662,  3972,  7660,  7661,  11233, 3973,  7657,  7658,
+    11232, 7659,  11230, 11231, 0,     401,   1505,  1506,  3969,  1507,  3967,
+    3968,  7656,  1508,  3964,  3965,  7655,  3966,  7653,  7654,  11229, 1509,
+    3960,  3961,  7652,  3962,  7650,  7651,  11228, 3963,  7647,  7648,  11227,
+    7649,  11225, 11226, 0,     1510,  3955,  3956,  7646,  3957,  7644,  7645,
+    11224, 3958,  7641,  7642,  11223, 7643,  11221, 11222, 0,     3959,  7637,
+    7638,  11220, 7639,  11218, 11219, 0,     7640,  11215, 11216, 0,     11217,
+    0,     0,     0,     402,   1498,  1499,  3954,  1500,  3952,  3953,  7636,
+    1501,  3949,  3950,  7635,  3951,  7633,  7634,  11214, 1502,  3945,  3946,
+    7632,  3947,  7630,  7631,  11213, 3948,  7627,  7628,  11212, 7629,  11210,
+    11211, 0,     1503,  3940,  3941,  7626,  3942,  7624,  7625,  11209, 3943,
+    7621,  7622,  11208, 7623,  11206, 11207, 0,     3944,  7617,  7618,  11205,
+    7619,  11203, 11204, 0,     7620,  11200, 11201, 0,     11202, 0,     0,
+    0,     1504,  3934,  3935,  7616,  3936,  7614,  7615,  11199, 3937,  7611,
+    7612,  11198, 7613,  11196, 11197, 0,     3938,  7607,  7608,  11195, 7609,
+    11193, 11194, 0,     7610,  11190, 11191, 0,     11192, 0,     0,     0,
+    3939,  7602,  7603,  11189, 7604,  11187, 11188, 0,     7605,  11184, 11185,
+    0,     11186, 0,     0,     0,     7606,  11180, 11181, 0,     11182, 0,
+    0,     0,     11183, 0,     0,     0,     0,     0,     0,     0,     403,
+    1490,  1491,  3933,  1492,  3931,  3932,  7601,  1493,  3928,  3929,  7600,
+    3930,  7598,  7599,  11179, 1494,  3924,  3925,  7597,  3926,  7595,  7596,
+    11178, 3927,  7592,  7593,  11177, 7594,  11175, 11176, 0,     1495,  3919,
+    3920,  7591,  3921,  7589,  7590,  11174, 3922,  7586,  7587,  11173, 7588,
+    11171, 11172, 0,     3923,  7582,  7583,  11170, 7584,  11168, 11169, 0,
+    7585,  11165, 11166, 0,     11167, 0,     0,     0,     1496,  3913,  3914,
+    7581,  3915,  7579,  7580,  11164, 3916,  7576,  7577,  11163, 7578,  11161,
+    11162, 0,     3917,  7572,  7573,  11160, 7574,  11158, 11159, 0,     7575,
+    11155, 11156, 0,     11157, 0,     0,     0,     3918,  7567,  7568,  11154,
+    7569,  11152, 11153, 0,     7570,  11149, 11150, 0,     11151, 0,     0,
+    0,     7571,  11145, 11146, 0,     11147, 0,     0,     0,     11148, 0,
+    0,     0,     0,     0,     0,     0,     1497,  3906,  3907,  7566,  3908,
+    7564,  7565,  11144, 3909,  7561,  7562,  11143, 7563,  11141, 11142, 0,
+    3910,  7557,  7558,  11140, 7559,  11138, 11139, 0,     7560,  11135, 11136,
+    0,     11137, 0,     0,     0,     3911,  7552,  7553,  11134, 7554,  11132,
+    11133, 0,     7555,  11129, 11130, 0,     11131, 0,     0,     0,     7556,
+    11125, 11126, 0,     11127, 0,     0,     0,     11128, 0,     0,     0,
+    0,     0,     0,     0,     3912,  7546,  7547,  11124, 7548,  11122, 11123,
+    0,     7549,  11119, 11120, 0,     11121, 0,     0,     0,     7550,  11115,
+    11116, 0,     11117, 0,     0,     0,     11118, 0,     0,     0,     0,
+    0,     0,     0,     7551,  11110, 11111, 0,     11112, 0,     0,     0,
+    11113, 0,     0,     0,     0,     0,     0,     0,     11114, 0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
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+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,     0,     0,
+    0,     0,     0,     0,     0,     0,     0,     0,     0,
+};
+
+const unsigned _bitcount[] = {
+    0,  1,  1,  2,  1,  2,  2,  3,  1,  2,  2,  3,  2,  3,  3,  4,  1,  2,  2,
+    3,  2,  3,  3,  4,  2,  3,  3,  4,  3,  4,  4,  5,  1,  2,  2,  3,  2,  3,
+    3,  4,  2,  3,  3,  4,  3,  4,  4,  5,  2,  3,  3,  4,  3,  4,  4,  5,  3,
+    4,  4,  5,  4,  5,  5,  6,  1,  2,  2,  3,  2,  3,  3,  4,  2,  3,  3,  4,
+    3,  4,  4,  5,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,
+    6,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,  3,  4,
+    4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  1,  2,  2,  3,  2,
+    3,  3,  4,  2,  3,  3,  4,  3,  4,  4,  5,  2,  3,  3,  4,  3,  4,  4,  5,
+    3,  4,  4,  5,  4,  5,  5,  6,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,
+    5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,
+    6,  7,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,  3,
+    4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  3,  4,  4,  5,
+    4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,
+    7,  5,  6,  6,  7,  6,  7,  7,  8,  1,  2,  2,  3,  2,  3,  3,  4,  2,  3,
+    3,  4,  3,  4,  4,  5,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,
+    5,  5,  6,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,
+    3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  2,  3,  3,
+    4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,
+    5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  3,  4,  4,  5,  4,  5,  5,  6,  4,
+    5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,
+    6,  7,  7,  8,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,
+    6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  3,  4,
+    4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,
+    6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  3,  4,  4,  5,  4,  5,  5,  6,
+    4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,
+    7,  6,  7,  7,  8,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,
+    7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  1,
+    2,  2,  3,  2,  3,  3,  4,  2,  3,  3,  4,  3,  4,  4,  5,  2,  3,  3,  4,
+    3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,  2,  3,  3,  4,  3,  4,  4,
+    5,  3,  4,  4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,
+    5,  6,  5,  6,  6,  7,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,
+    5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,
+    3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,
+    6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  2,  3,  3,  4,  3,  4,
+    4,  5,  3,  4,  4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,
+    5,  5,  6,  5,  6,  6,  7,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,
+    5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,
+    8,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,
+    5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  4,  5,  5,  6,  5,
+    6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,
+    6,  7,  7,  8,  7,  8,  8,  9,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,
+    5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,
+    6,  7,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,
+    5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  3,  4,  4,  5,
+    4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,
+    7,  5,  6,  6,  7,  6,  7,  7,  8,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,
+    6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,
+    8,  8,  9,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,
+    4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  4,  5,  5,
+    6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,
+    7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  4,  5,  5,  6,  5,  6,  6,  7,  5,
+    6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,
+    7,  8,  8,  9,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,
+    9,  6,  7,  7,  8,  7,  8,  8,  9,  7,  8,  8,  9,  8,  9,  9,  10, 1,  2,
+    2,  3,  2,  3,  3,  4,  2,  3,  3,  4,  3,  4,  4,  5,  2,  3,  3,  4,  3,
+    4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,  2,  3,  3,  4,  3,  4,  4,  5,
+    3,  4,  4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,
+    6,  5,  6,  6,  7,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,
+    5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  3,
+    4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,
+    5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  2,  3,  3,  4,  3,  4,  4,
+    5,  3,  4,  4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,
+    5,  6,  5,  6,  6,  7,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,
+    6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,
+    3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,
+    6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  4,  5,  5,  6,  5,  6,
+    6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,
+    7,  7,  8,  7,  8,  8,  9,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,
+    4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,
+    7,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,
+    5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  3,  4,  4,  5,  4,
+    5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,
+    5,  6,  6,  7,  6,  7,  7,  8,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,
+    7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,
+    8,  9,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,
+    5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  4,  5,  5,  6,
+    5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,
+    8,  6,  7,  7,  8,  7,  8,  8,  9,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,
+    6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,
+    8,  8,  9,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,
+    6,  7,  7,  8,  7,  8,  8,  9,  7,  8,  8,  9,  8,  9,  9,  10, 2,  3,  3,
+    4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,
+    5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  3,  4,  4,  5,  4,  5,  5,  6,  4,
+    5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,
+    6,  7,  7,  8,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,
+    7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  4,  5,
+    5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,
+    7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  3,  4,  4,  5,  4,  5,  5,  6,
+    4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,
+    7,  6,  7,  7,  8,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,
+    7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  4,
+    5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,
+    6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  5,  6,  6,  7,  6,  7,  7,
+    8,  6,  7,  7,  8,  7,  8,  8,  9,  6,  7,  7,  8,  7,  8,  8,  9,  7,  8,
+    8,  9,  8,  9,  9,  10, 3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,
+    6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,
+    4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,
+    7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  4,  5,  5,  6,  5,  6,
+    6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,
+    7,  7,  8,  7,  8,  8,  9,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,
+    7,  8,  8,  9,  6,  7,  7,  8,  7,  8,  8,  9,  7,  8,  8,  9,  8,  9,  9,
+    10, 4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  5,  6,
+    6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  5,  6,  6,  7,  6,
+    7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,  6,  7,  7,  8,  7,  8,  8,  9,
+    7,  8,  8,  9,  8,  9,  9,  10, 5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,
+    8,  7,  8,  8,  9,  6,  7,  7,  8,  7,  8,  8,  9,  7,  8,  8,  9,  8,  9,
+    9,  10, 6,  7,  7,  8,  7,  8,  8,  9,  7,  8,  8,  9,  8,  9,  9,  10, 7,
+    8,  8,  9,  8,  9,  9,  10, 8,  9,  9,  10, 9,  10, 10, 11, 1,  2,  2,  3,
+    2,  3,  3,  4,  2,  3,  3,  4,  3,  4,  4,  5,  2,  3,  3,  4,  3,  4,  4,
+    5,  3,  4,  4,  5,  4,  5,  5,  6,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,
+    4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,
+    6,  6,  7,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,  5,  6,
+    3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  3,  4,  4,
+    5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,
+    6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  2,  3,  3,  4,  3,  4,  4,  5,  3,
+    4,  4,  5,  4,  5,  5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,
+    5,  6,  6,  7,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,
+    7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  3,  4,
+    4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,
+    6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  4,  5,  5,  6,  5,  6,  6,  7,
+    5,  6,  6,  7,  6,  7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,
+    8,  7,  8,  8,  9,  2,  3,  3,  4,  3,  4,  4,  5,  3,  4,  4,  5,  4,  5,
+    5,  6,  3,  4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  3,
+    4,  4,  5,  4,  5,  5,  6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,
+    5,  6,  6,  7,  5,  6,  6,  7,  6,  7,  7,  8,  3,  4,  4,  5,  4,  5,  5,
+    6,  4,  5,  5,  6,  5,  6,  6,  7,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,
+    6,  7,  6,  7,  7,  8,  4,  5,  5,  6,  5,  6,  6,  7,  5,  6,  6,  7,  6,
+    7,  7,  8,  5,  6,  6,  7,  6,  7,  7,  8,  6,  7,  7,  8,  7,  8,  8,  9,
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+    12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13,
+    13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 9,  10, 10, 11, 10, 11, 11, 12, 10,
+    11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13,
+    12, 13, 13, 14, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13,
+    14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 10, 11,
+    11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12,
+    13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 11, 12, 12, 13, 12, 13, 13, 14,
+    12, 13, 13, 14, 13, 14, 14, 15, 12, 13, 13, 14, 13, 14, 14, 15, 13, 14, 14,
+    15, 14, 15, 15, 16,
+};
+
+const unsigned _offsets52c[] = {0, 73629072, 122715120, 132988944, 133767264};
+
+const unsigned _offsets48c[] = {
+    0,        3365856,  17864928, 42030048, 62167648, 71194848, 73361376,
+    73617632, 73629072, 0,        0,        0,        0,        0,
+    0,        0,        0,        906192,   4128208,  8443408,  11221008,
+    12123728, 12263504, 12271512, 0,        0,        0,        0,
+    0,        0,        0,        0,        0,        201376,   776736,
+    1371936,  1649696,  1707936,  1712304,  0,        0,        0,
+    0,        0,        0,        0,        0,        0,        0,
+    35960,    115320,   174840,   192760,   194580,   0,        0,
+    0,        0,        0,        0,        0,        0,        0,
+    0,        0,        4960,     12896,    16736,    17296,    0,
+    0,        0,        0,        0,        0,        0,        0,
+    0,        0,        0,        0,        496,      1008,     1128,
+    0,        0,        0,        0,        0,        0,        0,
+    0,        0,        0,        0,        0,        0,        32,
+    48,       0,        0,        0,        0,        0,        0,
+    0,        0,        0,        0,        0,        0,        0,
+    0,        1,        0,        0,        0,        0,        0,
+    0,        0,        0,        0,        0,        0,        0,
+    0,        0};
+
+const unsigned _offsets32c[] = {
+    0,      11440,  139568, 663728, 1682928, 2702128, 3226288, 3354416, 3365856,
+    0,      0,      0,      0,      0,       0,       0,       0,       8008,
+    77896,  296296, 609896, 828296, 898184,  906192,  0,       0,       0,
+    0,      0,      0,      0,      0,       0,       4368,    33488,   100688,
+    167888, 197008, 201376, 0,      0,       0,       0,       0,       0,
+    0,      0,      0,      0,      1820,    10780,   25180,   34140,   35960,
+    0,      0,      0,      0,      0,       0,       0,       0,       0,
+    0,      0,      560,    2480,   4400,    4960,    0,       0,       0,
+    0,      0,      0,      0,      0,       0,       0,       0,       0,
+    120,    376,    496,    0,      0,       0,       0,       0,       0,
+    0,      0,      0,      0,      0,       0,       0,       16,      32,
+    0,      0,      0,      0,      0,       0,       0,       0,       0,
+    0,      0,      0,      0,      0,       1,       0,       0,       0,
+    0,      0,      0,      0,      0,       0,       0,       0,       0,
+    0,      0};
+
+}  // namespace
+
+inline unsigned index52c7(unsigned __int64 x) {
+  const unsigned short *a = (const unsigned short *)&x;
+  unsigned A = a[3], B = a[2], C = a[1], D = a[0], bcA = _bitcount[A],
+           bcB = _bitcount[B], bcC = _bitcount[C], bcD = _bitcount[D],
+           mulA = _choose48x[7 - bcA], mulB = _choose32x[7 - (bcA + bcB)],
+           mulC = _choose16x[bcD];
+  return _offsets52c[bcA] + _table4[A] * mulA + _offsets48c[(bcA << 4) + bcB] +
+         _table[B] * mulB + _offsets32c[((bcA + bcB) << 4) + bcC] +
+         _table[C] * mulC + _table[D];
+}
diff --git a/cpp/test/kev/kev_eval.c b/cpp/test/kev/kev_eval.c
index fd4afd9..d6be8c4 100644
--- a/cpp/test/kev/kev_eval.c
+++ b/cpp/test/kev/kev_eval.c
@@ -1,35 +1,45 @@
 extern short eval_5cards_fast(int c1, int c2, int c3, int c4, int c5);
 extern short eval_6cards_fast(int c1, int c2, int c3, int c4, int c5, int c6);
-extern short eval_7cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7);
-extern short eval_8cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8);
-extern short eval_9cards_fast(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8, int c9);
+extern short eval_7cards_fast(int c1, int c2, int c3, int c4, int c5, int c6,
+                              int c7);
+extern short eval_8cards_fast(int c1, int c2, int c3, int c4, int c5, int c6,
+                              int c7, int c8);
+extern short eval_9cards_fast(int c1, int c2, int c3, int c4, int c5, int c6,
+                              int c7, int c8, int c9);
 
-int deck[52] =
-{
-    98306, 81922, 73730, 69634, 164099, 147715, 139523, 135427, 295429, 279045, 270853, 266757, 557831, 541447, 533255, 529159, 1082379, 1065995, 1057803, 1053707, 2131213, 2114829, 2106637, 2102541, 4228625, 4212241, 4204049, 4199953, 8423187, 8406803, 8398611, 8394515, 16812055, 16795671, 16787479, 16783383, 33589533, 33573149, 33564957, 33560861, 67144223, 67127839, 67119647, 67115551, 134253349, 134236965, 134228773, 134224677, 268471337, 268454953, 268446761, 268442665, 
+int deck[52] = {
+    98306,     81922,     73730,     69634,     164099,    147715,    139523,
+    135427,    295429,    279045,    270853,    266757,    557831,    541447,
+    533255,    529159,    1082379,   1065995,   1057803,   1053707,   2131213,
+    2114829,   2106637,   2102541,   4228625,   4212241,   4204049,   4199953,
+    8423187,   8406803,   8398611,   8394515,   16812055,  16795671,  16787479,
+    16783383,  33589533,  33573149,  33564957,  33560861,  67144223,  67127839,
+    67119647,  67115551,  134253349, 134236965, 134228773, 134224677, 268471337,
+    268454953, 268446761, 268442665,
 };
 
-short kev_eval_5cards(int c1, int c2, int c3, int c4, int c5)
-{
-    return eval_5cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5]);
+short kev_eval_5cards(int c1, int c2, int c3, int c4, int c5) {
+  return eval_5cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5]);
 }
 
-short kev_eval_6cards(int c1, int c2, int c3, int c4, int c5, int c6)
-{
-    return eval_6cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5], deck[c6]);
+short kev_eval_6cards(int c1, int c2, int c3, int c4, int c5, int c6) {
+  return eval_6cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5],
+                          deck[c6]);
 }
 
-short kev_eval_7cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7)
-{
-    return eval_7cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5], deck[c6], deck[c7]);
+short kev_eval_7cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7) {
+  return eval_7cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5],
+                          deck[c6], deck[c7]);
 }
 
-short kev_eval_8cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8)
-{
-    return eval_8cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5], deck[c6], deck[c7], deck[c8]);
+short kev_eval_8cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7,
+                      int c8) {
+  return eval_8cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5],
+                          deck[c6], deck[c7], deck[c8]);
 }
 
-short kev_eval_9cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8, int c9)
-{
-    return eval_9cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5], deck[c6], deck[c7], deck[c8], deck[c9]);
+short kev_eval_9cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7,
+                      int c8, int c9) {
+  return eval_9cards_fast(deck[c1], deck[c2], deck[c3], deck[c4], deck[c5],
+                          deck[c6], deck[c7], deck[c8], deck[c9]);
 }
diff --git a/cpp/test/kev/kev_eval.h b/cpp/test/kev/kev_eval.h
index c40cdb0..c9fbe9c 100644
--- a/cpp/test/kev/kev_eval.h
+++ b/cpp/test/kev/kev_eval.h
@@ -8,11 +8,13 @@ extern "C" {
 short kev_eval_5cards(int c1, int c2, int c3, int c4, int c5);
 short kev_eval_6cards(int c1, int c2, int c3, int c4, int c5, int c6);
 short kev_eval_7cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7);
-short kev_eval_8cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8);
-short kev_eval_9cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7, int c8, int c9);
+short kev_eval_8cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7,
+                      int c8);
+short kev_eval_9cards(int c1, int c2, int c3, int c4, int c5, int c6, int c7,
+                      int c8, int c9);
 
 #ifdef __cplusplus
-} // closing brace for extern "C"
+}  // closing brace for extern "C"
 #endif
 
 #endif
diff --git a/cpp/test/rank.cc b/cpp/test/rank.cc
index 70f8073..16d581d 100644
--- a/cpp/test/rank.cc
+++ b/cpp/test/rank.cc
@@ -1,7 +1,9 @@
-#include <cstdio>
-#include <cassert>
-#include <algorithm>
 #include <phevaluator/phevaluator.h>
+
+#include <algorithm>
+#include <cassert>
+#include <cstdio>
+
 #include "gtest/gtest.h"
 #include "kev/kev_eval.h"
 
@@ -9,7 +11,7 @@ using namespace phevaluator;
 
 TEST(RankTest, TestValue) {
   Rank a = EvaluateCards("9c", "4c", "4s", "9d", "4h");
-	Rank b = EvaluateCards("9c", "4c", "4s", "9d", "9h");
+  Rank b = EvaluateCards("9c", "4c", "4s", "9d", "9h");
 
   ASSERT_EQ(a.value(), 292);
   ASSERT_EQ(b.value(), 236);
@@ -17,7 +19,7 @@ TEST(RankTest, TestValue) {
 
 TEST(RankTest, TestComparison) {
   Rank a = EvaluateCards("9c", "4c", "4s", "9d", "4h");
-	Rank b = EvaluateCards("9c", "4c", "4s", "9d", "9h");
+  Rank b = EvaluateCards("9c", "4c", "4s", "9d", "9h");
 
   ASSERT_GT(b, a);
   ASSERT_GE(b, a);
@@ -29,7 +31,7 @@ TEST(RankTest, TestComparison) {
 
 TEST(RankTest, TestRankCategory) {
   Rank a = EvaluateCards("9c", "4c", "4s", "9d", "4h");
-	Rank b = EvaluateCards("As", "Ks", "Qs", "Js", "Ts");
+  Rank b = EvaluateCards("As", "Ks", "Qs", "Js", "Ts");
 
   ASSERT_EQ(a.category(), rank_category::FULL_HOUSE);
   ASSERT_EQ(b.category(), rank_category::STRAIGHT_FLUSH);
@@ -166,7 +168,7 @@ TEST(RankTest, TestRankCategoryHighCards) {
 
 TEST(RankTest, TestRankDescription) {
   Rank a = EvaluateCards("9c", "4c", "4s", "9d", "4h");
-	Rank b = EvaluateCards("As", "Ks", "Qs", "Js", "Ts");
+  Rank b = EvaluateCards("As", "Ks", "Qs", "Js", "Ts");
 
   ASSERT_EQ(a.describeRank(), "Fours Full over Nines");
   ASSERT_EQ(b.describeRank(), "Royal Flush");
@@ -178,8 +180,7 @@ TEST(RankTest, TestRankDescription) {
   ASSERT_TRUE(b.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionStraightFlushes)
-{
+TEST(RankTest, TestRankDescriptionStraightFlushes) {
   Rank a = EvaluateCards("6s", "2s", "5s", "3s", "4s");
   Rank b = EvaluateCards("8d", "Td", "Jd", "Qd", "9d");
   Rank c = EvaluateCards("6h", "8h", "5h", "7h", "4h");
@@ -197,8 +198,7 @@ TEST(RankTest, TestRankDescriptionStraightFlushes)
   ASSERT_TRUE(c.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionFourOfAKinds)
-{
+TEST(RankTest, TestRankDescriptionFourOfAKinds) {
   Rank a = EvaluateCards("As", "Ad", "Ac", "2s", "Ah");
   Rank b = EvaluateCards("Qs", "Qc", "3d", "Qd", "Qh");
   Rank c = EvaluateCards("3d", "3c", "8c", "3h", "3s");
@@ -216,8 +216,7 @@ TEST(RankTest, TestRankDescriptionFourOfAKinds)
   ASSERT_FALSE(c.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionFullHouses)
-{
+TEST(RankTest, TestRankDescriptionFullHouses) {
   Rank a = EvaluateCards("As", "2d", "Ac", "2s", "Ah");
   Rank b = EvaluateCards("3c", "Qc", "3d", "3s", "Qh");
   Rank c = EvaluateCards("8d", "7d", "8c", "8s", "7h");
@@ -235,8 +234,7 @@ TEST(RankTest, TestRankDescriptionFullHouses)
   ASSERT_FALSE(c.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionFlushes)
-{
+TEST(RankTest, TestRankDescriptionFlushes) {
   Rank a = EvaluateCards("As", "2s", "3s", "7s", "Ts");
   Rank b = EvaluateCards("2c", "Qc", "Tc", "7c", "4c");
   Rank c = EvaluateCards("2d", "4d", "3d", "8d", "5d");
@@ -254,8 +252,7 @@ TEST(RankTest, TestRankDescriptionFlushes)
   ASSERT_TRUE(c.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionStraights)
-{
+TEST(RankTest, TestRankDescriptionStraights) {
   Rank a = EvaluateCards("As", "Kc", "Qd", "Jd", "Th");
   Rank b = EvaluateCards("Ks", "Qc", "Jd", "Td", "9h");
   Rank c = EvaluateCards("5h", "4d", "3d", "2c", "As");
@@ -277,8 +274,7 @@ TEST(RankTest, TestRankDescriptionStraights)
   ASSERT_EQ(c.category(), rank_category::STRAIGHT);
 }
 
-TEST(RankTest, TestRankDescriptionThreeOfAKinds)
-{
+TEST(RankTest, TestRankDescriptionThreeOfAKinds) {
   Rank a = EvaluateCards("As", "2s", "Ad", "Ac", "Ts");
   Rank b = EvaluateCards("6d", "6c", "2h", "6s", "4c");
   Rank c = EvaluateCards("9s", "4d", "9d", "8d", "9h");
@@ -296,8 +292,7 @@ TEST(RankTest, TestRankDescriptionThreeOfAKinds)
   ASSERT_FALSE(c.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionTwoPairs)
-{
+TEST(RankTest, TestRankDescriptionTwoPairs) {
   Rank a = EvaluateCards("As", "2s", "Ad", "Tc", "Ts");
   Rank b = EvaluateCards("6d", "2c", "4h", "6s", "4c");
   Rank c = EvaluateCards("9s", "7d", "9d", "7s", "Ah");
@@ -315,8 +310,7 @@ TEST(RankTest, TestRankDescriptionTwoPairs)
   ASSERT_FALSE(c.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionOnePairs)
-{
+TEST(RankTest, TestRankDescriptionOnePairs) {
   Rank a = EvaluateCards("Qs", "2s", "Qh", "3c", "Ts");
   Rank b = EvaluateCards("5s", "2c", "3h", "6s", "3c");
   Rank c = EvaluateCards("Ts", "Qd", "Td", "7s", "Ah");
@@ -334,8 +328,7 @@ TEST(RankTest, TestRankDescriptionOnePairs)
   ASSERT_FALSE(c.isFlush());
 }
 
-TEST(RankTest, TestRankDescriptionHighCards)
-{
+TEST(RankTest, TestRankDescriptionHighCards) {
   Rank a = EvaluateCards("6s", "7s", "2d", "3c", "4h");
   Rank b = EvaluateCards("Qs", "3c", "Ah", "Kc", "2d");
   Rank c = EvaluateCards("4h", "9s", "Td", "7s", "2d");