From c69a9f256b81920225706141d79abffd72368759 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Sat, 15 Mar 2014 11:01:06 +0400
Subject: [PATCH 01/17] Initial commit

---
 abragin/find_min.py | 9 +++++++++
 1 file changed, 9 insertions(+)
 create mode 100644 abragin/find_min.py

diff --git a/abragin/find_min.py b/abragin/find_min.py
new file mode 100644
index 0000000..9701eab
--- /dev/null
+++ b/abragin/find_min.py
@@ -0,0 +1,9 @@
+a = [2, 5, 9, 7]
+
+curmin = a[0]
+
+for x in a:
+    if x < curmin:
+        curmin = i
+
+print(curmin)

From 1dff3cefe2b725186a12e4da128221ed0fc49180 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Wed, 26 Mar 2014 01:09:44 +0400
Subject: [PATCH 02/17] 
Initial commit. Components solution based on DFS
 created (fails with TS).

---
 .gitignore               |      3 +
 components.in            |      6 +
 components.py            |     70 +
 test.in                  | 200001 ++++++++++++++++++++++++++++++++++++
 tests/__init__.py        |      1 +
 tests/test.in            | 200001 ++++++++++++++++++++++++++++++++++++
 tests/test_components.py |     38 +
 7 files changed, 400120 insertions(+)
 create mode 100644 .gitignore
 create mode 100644 components.in
 create mode 100644 components.py
 create mode 100644 test.in
 create mode 100644 tests/__init__.py
 create mode 100644 tests/test.in
 create mode 100644 tests/test_components.py

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..18294ef
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,3 @@
+.idea/
+**__pycache__/
+**.out
\ No newline at end of file
diff --git a/components.in b/components.in
new file mode 100644
index 0000000..8f9cb62
--- /dev/null
+++ b/components.in
@@ -0,0 +1,6 @@
+4 3
+1 3
+2 4
+1 3
+1 1
+
diff --git a/components.py b/components.py
new file mode 100644
index 0000000..88517b1
--- /dev/null
+++ b/components.py
@@ -0,0 +1,70 @@
+__author__ = 'abragin'
+
+import logging
+import sys
+
+sys.setrecursionlimit(200000)
+
+logger = logging.getLogger()
+logger.setLevel(logging.INFO)
+logger.addHandler(logging.StreamHandler(sys.stdout))
+
+class Graph:
+    def __init__(self, n, m):
+        self.n = n
+        self.m = m
+        self.vertices = [[] for i in range(n)]
+        self.component = [None for i in range(n)]
+
+    def __str__(self):
+        str_repr = 'Vertices: ' + str(self.n) + ' Edges: ' + str(self.m) + '\n'
+        for i, v in enumerate(self.vertices):
+            str_repr = str_repr + '{} (comp {}) is connected to: {}'.format(str(i), self.component[i], str(v)) + '\n'
+        return str_repr
+
+def create_graph(file_in):
+    with open(file_in) as f:
+        nm = [int(x) for x in f.readline().split()]
+
+        graph = Graph(nm[0], nm[1])
+        for line in f:
+            if len(line.strip()) > 0:
+                vx = [int(x) for x in line.split()]
+                #Self connections does not affects components
+                if vx[0] != vx[1]:
+                    graph.vertices[vx[0] - 1].append(vx[1] - 1)
+                    graph.vertices[vx[1] - 1].append(vx[0] - 1)
+
+    return graph
+
+def get_components(graph):
+    component = 0
+    for i in range(graph.n):
+        if graph.component[i] is None:
+            component = component + 1
+            dfs(graph, i, component)
+
+    return component
+
+def dfs(graph, i, component):
+    logger.debug('Starting DFS from {}'.format(i))
+    graph.component[i] = component
+    for linked in graph.vertices[i]:
+        if graph.component[linked] is None:
+            dfs(graph, linked, component)
+
+def print_components(file_out, graph, ncomp):
+    with open(file_out, 'w') as f:
+        f.write(str(ncomp))
+        f.write('\n')
+        for vc in graph.component:
+            f.write(str(vc))
+            f.write(' ')
+
+#Execute script
+#graph = create_graph('components.in')
+#
+#ncomp = get_components(graph)
+#logger.debug('Graph analyzed: {}'.format(graph))
+#
+#print_components('components.out', graph, ncomp)
\ No newline at end of file
diff --git a/test.in b/test.in
new file mode 100644
index 0000000..b885cc4
--- /dev/null
+++ b/test.in
@@ -0,0 +1,200001 @@
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diff --git a/tests/__init__.py b/tests/__init__.py
new file mode 100644
index 0000000..8606108
--- /dev/null
+++ b/tests/__init__.py
@@ -0,0 +1 @@
+__author__ = 'Антон Брагин'
diff --git a/tests/test.in b/tests/test.in
new file mode 100644
index 0000000..cf1ed31
--- /dev/null
+++ b/tests/test.in
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diff --git a/tests/test_components.py b/tests/test_components.py
new file mode 100644
index 0000000..c4277de
--- /dev/null
+++ b/tests/test_components.py
@@ -0,0 +1,38 @@
+from unittest import TestCase
+
+__author__ = 'Антон Брагин'
+
+import random
+import datetime
+import components
+
+class TestComponents(TestCase):
+
+    def test_time(self):
+        n = 5000
+        m = 200000
+
+        self.test_file = 'test.in'
+
+        with open(self.test_file, 'w') as f:
+            f.write(str(n))
+            f.write(' ')
+            f.write(str(m))
+            f.write('\n')
+
+            for e in range(m):
+                f.write(str(random.randint(1, n)))
+                f.write(' ')
+                f.write(str(random.randint(1, n)))
+                f.write('\n')
+
+        print('Test file created. n = {}, m = {}. Starting testing...'.format(n, m))
+        start = datetime.datetime.now()
+
+        graph = components.create_graph(self.test_file)
+        ncomp = components.get_components(graph)
+        components.print_components('test.out', graph, ncomp)
+
+        end = datetime.datetime.now()
+
+        print('Total time: {}'.format(end - start))
\ No newline at end of file

From 0783cbc264fd6872589f5f7940b9c3d01e1e95be Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Wed, 26 Mar 2014 02:03:20 +0400
Subject: [PATCH 03/17] BFS implemented

---
 components.in            |      5 +-
 components.py            |     40 +-
 tests/test.in            | 249996 +++++++-----------------------------
 tests/test_components.py |     12 +-
 4 files changed, 50041 insertions(+), 200012 deletions(-)

diff --git a/components.in b/components.in
index 8f9cb62..938abf4 100644
--- a/components.in
+++ b/components.in
@@ -1,6 +1,3 @@
-4 3
+4 2
 1 3
 2 4
-1 3
-1 1
-
diff --git a/components.py b/components.py
index 88517b1..70258e2 100644
--- a/components.py
+++ b/components.py
@@ -2,6 +2,7 @@
 
 import logging
 import sys
+from collections import deque
 
 sys.setrecursionlimit(200000)
 
@@ -14,7 +15,7 @@ def __init__(self, n, m):
         self.n = n
         self.m = m
         self.vertices = [[] for i in range(n)]
-        self.component = [None for i in range(n)]
+        self.component = [0 for i in range(n)]
 
     def __str__(self):
         str_repr = 'Vertices: ' + str(self.n) + ' Edges: ' + str(self.m) + '\n'
@@ -37,10 +38,10 @@ def create_graph(file_in):
 
     return graph
 
-def get_components(graph):
+def get_components_dfs(graph):
     component = 0
     for i in range(graph.n):
-        if graph.component[i] is None:
+        if graph.component[i] == 0:
             component = component + 1
             dfs(graph, i, component)
 
@@ -50,9 +51,34 @@ def dfs(graph, i, component):
     logger.debug('Starting DFS from {}'.format(i))
     graph.component[i] = component
     for linked in graph.vertices[i]:
-        if graph.component[linked] is None:
+        if linked != i and graph.component[linked] == 0:
             dfs(graph, linked, component)
 
+def get_components_bfs(graph):
+    component = 0
+    for i in range(graph.n):
+        if graph.component[i] == 0:
+            component = component + 1
+            bfs(graph, i, component)
+
+    return component
+
+def bfs(graph, i, component):
+    logger.debug('Starting BFS from {}'.format(i))
+
+    vertices_deque = deque()
+    vertices_deque.append(i)
+
+    while len(vertices_deque) > 0:
+        logger.debug('Deque: {}'.format(vertices_deque))
+        current = vertices_deque.popleft()
+
+        graph.component[current] = component
+
+        for linked in graph.vertices[current]:
+            if linked != current and graph.component[linked] == 0:
+                vertices_deque.append(linked)
+
 def print_components(file_out, graph, ncomp):
     with open(file_out, 'w') as f:
         f.write(str(ncomp))
@@ -61,10 +87,10 @@ def print_components(file_out, graph, ncomp):
             f.write(str(vc))
             f.write(' ')
 
-#Execute script
+##Execute script
 #graph = create_graph('components.in')
-#
-#ncomp = get_components(graph)
+#logger.debug('Graph created: {}'.format(graph))
+#ncomp = get_components_bfs(graph)
 #logger.debug('Graph analyzed: {}'.format(graph))
 #
 #print_components('components.out', graph, ncomp)
\ No newline at end of file
diff --git a/tests/test.in b/tests/test.in
index cf1ed31..1141de2 100644
--- a/tests/test.in
+++ b/tests/test.in
@@ -1,200001 +1,50001 @@
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diff --git a/tests/test_components.py b/tests/test_components.py
index c4277de..bfcb790 100644
--- a/tests/test_components.py
+++ b/tests/test_components.py
@@ -9,8 +9,8 @@
 class TestComponents(TestCase):
 
     def test_time(self):
-        n = 5000
-        m = 200000
+        n = 50000
+        m = 50000
 
         self.test_file = 'test.in'
 
@@ -30,9 +30,15 @@ def test_time(self):
         start = datetime.datetime.now()
 
         graph = components.create_graph(self.test_file)
-        ncomp = components.get_components(graph)
+        print('Graph created...')
+
+        #print('Graph:\n{}'.format(graph))
+
+        ncomp = components.get_components_bfs(graph)
         components.print_components('test.out', graph, ncomp)
 
         end = datetime.datetime.now()
 
+        #print('Graph:\n{}'.format(graph))
+
         print('Total time: {}'.format(end - start))
\ No newline at end of file

From 8b8d4612afd111c0caf0dc0249b5aeeccdae0ef1 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Wed, 26 Mar 2014 23:01:14 +0400
Subject: [PATCH 04/17] Array implementation for BFS components problem
 created.

---
 components.in            |      3 +-
 components.py            |     12 +-
 components_fast.py       |     83 +
 tests/test.in            | 149998 ++++++++++++++++++++++++------------
 tests/test_components.py |     10 +-
 5 files changed, 100095 insertions(+), 50011 deletions(-)
 create mode 100644 components_fast.py

diff --git a/components.in b/components.in
index 938abf4..8f17011 100644
--- a/components.in
+++ b/components.in
@@ -1,3 +1,4 @@
-4 2
+5 3
 1 3
 2 4
+1 4
diff --git a/components.py b/components.py
index 70258e2..f07b455 100644
--- a/components.py
+++ b/components.py
@@ -88,9 +88,9 @@ def print_components(file_out, graph, ncomp):
             f.write(' ')
 
 ##Execute script
-#graph = create_graph('components.in')
-#logger.debug('Graph created: {}'.format(graph))
-#ncomp = get_components_bfs(graph)
-#logger.debug('Graph analyzed: {}'.format(graph))
-#
-#print_components('components.out', graph, ncomp)
\ No newline at end of file
+graph = create_graph('components.in')
+logger.debug('Graph created: {}'.format(graph))
+ncomp = get_components_bfs(graph)
+logger.debug('Graph analyzed: {}'.format(graph))
+
+print_components('components.out', graph, ncomp)
\ No newline at end of file
diff --git a/components_fast.py b/components_fast.py
new file mode 100644
index 0000000..283e84d
--- /dev/null
+++ b/components_fast.py
@@ -0,0 +1,83 @@
+__author__ = 'Антон Брагин'
+
+import sys
+
+sys.setrecursionlimit(200000)
+
+class Graph:
+
+    def __init__(self, vertices, edges):
+        self.vertices = vertices
+        self.head = [-1 for i in range(vertices)]
+        self.component = [-1 for i in range(vertices)]
+        self.next = [-1 for i in range(2 * edges)]
+        self.edge = [-1 for i in range(2 * edges)]
+
+        self.edge_counter = 0
+
+    def addEdge(self, v, w):
+        if (v == w):
+            return
+        #Convert to zero based
+        v -= 1
+        w -= 1
+
+        self.edge[self.edge_counter] = w
+        self.next[self.edge_counter] = self.head[v]
+        self.head[v] = self.edge_counter
+        self.edge_counter += 1
+
+        self.edge[self.edge_counter] = v
+        self.next[self.edge_counter] = self.head[w]
+        self.head[w] = self.edge_counter
+        self.edge_counter += 1
+
+    def dfs(self, v, component):
+        #print('dfs from {}'.format(v))
+        self.component[v] = component
+
+        e = self.head[v]
+        while e >= 0:
+            w = self.edge[e]
+
+            if self.component[w] == -1:
+                self.dfs(w, component)
+
+            e = self.next[e]
+
+def create_graph(file_in):
+    with open(file_in) as f:
+        nm = [int(x) for x in f.readline().split()]
+
+        graph = Graph(nm[0], nm[1])
+        for line in f:
+            if len(line.strip()) > 0:
+                vx = [int(x) for x in line.split()]
+                #Self connections does not affects components
+                graph.addEdge(vx[0], vx[1])
+    #print(graph.head, graph.edge, graph.next)
+
+    return graph
+
+def get_components_dfs(graph):
+    comp = 0
+    for i in range(graph.vertices):
+        #print(graph.component)
+        if graph.component[i] == -1:
+            comp += 1
+            graph.dfs(i, comp)
+
+    return comp
+
+def print_components(file_out, graph, ncomp):
+    with open(file_out, 'w') as f:
+        f.write(str(ncomp))
+        f.write('\n')
+        for vc in graph.component:
+            f.write(str(vc))
+            f.write(' ')
+
+#Execute
+#graph = create_graph('components.in')
+#ncomp = get_components_dfs(graph)
+#print_components('components.out', graph, ncomp)
\ No newline at end of file
diff --git a/tests/test.in b/tests/test.in
index 1141de2..84ef544 100644
--- a/tests/test.in
+++ b/tests/test.in
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diff --git a/tests/test_components.py b/tests/test_components.py
index bfcb790..bec5e3d 100644
--- a/tests/test_components.py
+++ b/tests/test_components.py
@@ -1,16 +1,16 @@
-from unittest import TestCase
+from unittest import TestCase, skip
 
 __author__ = 'Антон Брагин'
 
 import random
 import datetime
-import components
+import components_fast as components
 
 class TestComponents(TestCase):
 
     def test_time(self):
-        n = 50000
-        m = 50000
+        n = 10000
+        m = 100000
 
         self.test_file = 'test.in'
 
@@ -34,7 +34,7 @@ def test_time(self):
 
         #print('Graph:\n{}'.format(graph))
 
-        ncomp = components.get_components_bfs(graph)
+        ncomp = components.get_components_dfs(graph)
         components.print_components('test.out', graph, ncomp)
 
         end = datetime.datetime.now()

From 233ac5971eadb3aa0153c952a85c9f3fbbc2846d Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Wed, 26 Mar 2014 23:23:01 +0400
Subject: [PATCH 05/17] BFS added to the fast graph implementation. Task 1
 (Components) solution created.

---
 components.in            |      3 +-
 components.py            |      2 +-
 components_fast.py       |     80 +-
 tests/test.in            | 300000 ++++++++++++++++++++++++------------
 tests/test_components.py |      6 +-
 5 files changed, 200076 insertions(+), 100015 deletions(-)

diff --git a/components.in b/components.in
index 8f17011..938abf4 100644
--- a/components.in
+++ b/components.in
@@ -1,4 +1,3 @@
-5 3
+4 2
 1 3
 2 4
-1 4
diff --git a/components.py b/components.py
index f07b455..7158ad0 100644
--- a/components.py
+++ b/components.py
@@ -1,4 +1,4 @@
-__author__ = 'abragin'
+__author__ = 'Антон Брагин'
 
 import logging
 import sys
diff --git a/components_fast.py b/components_fast.py
index 283e84d..f3030e4 100644
--- a/components_fast.py
+++ b/components_fast.py
@@ -1,12 +1,22 @@
 __author__ = 'Антон Брагин'
 
 import sys
+from collections import deque
 
+#Set it if you are planning to use DFS
 sys.setrecursionlimit(200000)
 
+#This is C-style graph representation that is extremely unnatural for Python
+#But I wasn't able to found object-based solution that could pass time tests
 class Graph:
 
     def __init__(self, vertices, edges):
+        """
+        Initialize graph object
+
+        :param vertices: number of vertices in the graph (nonzero by definition)
+        :param edges: number of edges in the graph
+        """
         self.vertices = vertices
         self.head = [-1 for i in range(vertices)]
         self.component = [-1 for i in range(vertices)]
@@ -16,6 +26,14 @@ def __init__(self, vertices, edges):
         self.edge_counter = 0
 
     def addEdge(self, v, w):
+        """
+        Add edge to graph
+
+        :param v: edge source
+        :param w: edge sink
+        :return: void
+        """
+        #Skip self-edges
         if (v == w):
             return
         #Convert to zero based
@@ -33,7 +51,12 @@ def addEdge(self, v, w):
         self.edge_counter += 1
 
     def dfs(self, v, component):
-        #print('dfs from {}'.format(v))
+        """
+        Run DFS from the vertex specified and mark components
+
+        :param v: vertex to start from
+        :param component: current component
+        """
         self.component[v] = component
 
         e = self.head[v]
@@ -45,7 +68,36 @@ def dfs(self, v, component):
 
             e = self.next[e]
 
+    def bfs(self, v, component):
+        """
+        Run BFS from the vertex specified and mark components
+
+        :param v: vertex to start from
+        :param component: current component
+        """
+        vertices_deque = deque()
+        vertices_deque.append(v)
+
+        while len(vertices_deque) > 0:
+            current = vertices_deque.popleft()
+            self.component[current] = component
+
+            e = self.head[current]
+            while e >= 0:
+                w = self.edge[e]
+
+                if self.component[w] == -1:
+                    vertices_deque.append(w)
+
+                e = self.next[e]
+
 def create_graph(file_in):
+    """
+    Create grapth from the file provided
+
+    :param file_in: file to read graph from
+    :return: Graph object
+    """
     with open(file_in) as f:
         nm = [int(x) for x in f.readline().split()]
 
@@ -53,23 +105,33 @@ def create_graph(file_in):
         for line in f:
             if len(line.strip()) > 0:
                 vx = [int(x) for x in line.split()]
-                #Self connections does not affects components
                 graph.addEdge(vx[0], vx[1])
-    #print(graph.head, graph.edge, graph.next)
 
     return graph
 
-def get_components_dfs(graph):
+def get_components(graph):
+    """
+    Mark graph vertices by components they belong to
+
+    :param graph: Graph object to analyze
+    :return: number of graph components
+    """
     comp = 0
     for i in range(graph.vertices):
-        #print(graph.component)
         if graph.component[i] == -1:
             comp += 1
-            graph.dfs(i, comp)
+            graph.bfs(i, comp)
 
     return comp
 
 def print_components(file_out, graph, ncomp):
+    """
+    Print output to the file specified
+
+    :param file_out: path to the output file
+    :param graph: Graph object to print
+    :param ncomp: numer of graph components
+    """
     with open(file_out, 'w') as f:
         f.write(str(ncomp))
         f.write('\n')
@@ -78,6 +140,6 @@ def print_components(file_out, graph, ncomp):
             f.write(' ')
 
 #Execute
-#graph = create_graph('components.in')
-#ncomp = get_components_dfs(graph)
-#print_components('components.out', graph, ncomp)
\ No newline at end of file
+graph = create_graph('components.in')
+ncomp = get_components(graph)
+print_components('components.out', graph, ncomp)
\ No newline at end of file
diff --git a/tests/test.in b/tests/test.in
index 84ef544..285909a 100644
--- a/tests/test.in
+++ b/tests/test.in
@@ -1,100001 +1,200001 @@
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diff --git a/tests/test_components.py b/tests/test_components.py
index bec5e3d..a584818 100644
--- a/tests/test_components.py
+++ b/tests/test_components.py
@@ -9,8 +9,8 @@
 class TestComponents(TestCase):
 
     def test_time(self):
-        n = 10000
-        m = 100000
+        n = 100000
+        m = 200000
 
         self.test_file = 'test.in'
 
@@ -34,7 +34,7 @@ def test_time(self):
 
         #print('Graph:\n{}'.format(graph))
 
-        ncomp = components.get_components_dfs(graph)
+        ncomp = components.get_components(graph)
         components.print_components('test.out', graph, ncomp)
 
         end = datetime.datetime.now()

From 542aceb547e5bb4c99fcb7c8ad49c4677b8840b8 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Thu, 27 Mar 2014 21:30:20 +0400
Subject: [PATCH 06/17]  Task 2 (Shortest path) BFS solution created and
 successfully submitted.

---
 pathbge1.in      |   8 +++
 shortest_path.py | 125 +++++++++++++++++++++++++++++++++++++++++++++++
 2 files changed, 133 insertions(+)
 create mode 100644 pathbge1.in
 create mode 100644 shortest_path.py

diff --git a/pathbge1.in b/pathbge1.in
new file mode 100644
index 0000000..79dadc6
--- /dev/null
+++ b/pathbge1.in
@@ -0,0 +1,8 @@
+7 7
+1 2
+3 1
+4 1
+2 4
+4 5
+6 7
+6 4
\ No newline at end of file
diff --git a/shortest_path.py b/shortest_path.py
new file mode 100644
index 0000000..a09bee9
--- /dev/null
+++ b/shortest_path.py
@@ -0,0 +1,125 @@
+__author__ = 'Антон Брагин'
+
+import sys
+from collections import deque
+
+#Set it if you are planning to use DFS
+sys.setrecursionlimit(200000)
+
+#This is C-style graph representation that is extremely unnatural for Python
+#But I wasn't able to found object-based solution that could pass time tests
+class Graph:
+
+    def __init__(self, vertices, edges):
+        """
+        Initialize graph object
+
+        :param vertices: number of vertices in the graph (nonzero by definition)
+        :param edges: number of edges in the graph
+        """
+        self.vertices = vertices
+        self.head = [-1 for i in range(vertices)]
+        self.distance = [-1 for i in range(vertices)]
+        self.next = [-1 for i in range(2 * edges)]
+        self.edge = [-1 for i in range(2 * edges)]
+
+        self.edge_counter = 0
+
+    def addEdge(self, v, w):
+        """
+        Add edge to graph
+
+        :param v: edge source
+        :param w: edge sink
+        :return: void
+        """
+        #Skip self-edges
+        if (v == w):
+            return
+        #Convert to zero based
+        v -= 1
+        w -= 1
+
+        self.edge[self.edge_counter] = w
+        self.next[self.edge_counter] = self.head[v]
+        self.head[v] = self.edge_counter
+        self.edge_counter += 1
+
+        self.edge[self.edge_counter] = v
+        self.next[self.edge_counter] = self.head[w]
+        self.head[w] = self.edge_counter
+        self.edge_counter += 1
+
+    def bfs(self, v):
+        """
+        Run BFS from the vertex specified and set distances to all other
+
+        :param v: vertex to start from
+        """
+        self.distance[v] = 0
+        vertices_deque = deque()
+        vertices_deque.append(v)
+
+        while len(vertices_deque) > 0:
+            current = vertices_deque.popleft()
+
+            e = self.head[current]
+            while e >= 0:
+                w = self.edge[e]
+
+                if self.distance[w] == -1:
+                    vertices_deque.append(w)
+                    self.distance[w] = self.distance[current] + 1
+
+                e = self.next[e]
+
+def create_graph(file_in):
+    """
+    Create grapth from the file provided
+
+    :param file_in: file to read graph from
+    :return: Graph object
+    """
+    with open(file_in) as f:
+        nm = [int(x) for x in f.readline().split()]
+
+        graph = Graph(nm[0], nm[1])
+        for line in f:
+            if len(line.strip()) > 0:
+                vx = [int(x) for x in line.split()]
+                graph.addEdge(vx[0], vx[1])
+
+    return graph
+
+def get_distances(graph):
+    """
+    Mark graph vertices by components they belong to
+
+    :param graph: Graph object to analyze
+    :return: number of graph components
+    """
+    comp = 0
+    for i in range(graph.vertices):
+        if graph.component[i] == -1:
+            comp += 1
+            graph.bfs(i, comp)
+
+    return comp
+
+def print_components(file_out, graph, ncomp):
+    """
+    Print output to the file specified
+
+    :param file_out: path to the output file
+    :param graph: Graph object to print
+    :param ncomp: numer of graph components
+    """
+    with open(file_out, 'w') as f:
+        for dc in graph.distance:
+            f.write(str(dc))
+            f.write(' ')
+
+#Execute
+graph = create_graph('pathbge1.in')
+ncomp = graph.bfs(0)
+print_components('pathbge1.out', graph, ncomp)
\ No newline at end of file

From 8c6df8703d8641a15254c91427e363ef1547a98c Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Thu, 27 Mar 2014 22:45:42 +0400
Subject: [PATCH 07/17]  Task 3 (Shortest path in weighted graph) Bellman-Ford
 solution created and successfully submitted.

---
 bellman_ford.py | 53 +++++++++++++++++++++++++++++++++++++++++++++++++
 pathmgep.in     |  4 ++++
 2 files changed, 57 insertions(+)
 create mode 100644 bellman_ford.py
 create mode 100644 pathmgep.in

diff --git a/bellman_ford.py b/bellman_ford.py
new file mode 100644
index 0000000..bebe867
--- /dev/null
+++ b/bellman_ford.py
@@ -0,0 +1,53 @@
+__author__ = 'Антон Брагин'
+
+class Graph:
+
+    def __init__(self, n, edges, total_weight):
+        """
+        Create graph representation suitable for Bellman-Ford traversal
+
+        :param n: number of vertices
+        :param edges: tuples of form (edge source, edge sink, edge weight)
+        :param total_weight: total weight of edges in the graph (assuming they all are non negative)
+        """
+        self.n = n
+        self.edges = edges
+        #In graph with positive edge weights path longer then total_weight + 1 can't exist
+        self.distances = [total_weight + 1 for i in range(n)]
+
+    def find_distance(self, start, finish):
+        self.distances[start - 1] = 0
+
+        for i in range(1, self.n):
+            for u, v, w in self.edges:
+                if self.distances[v] > self.distances[u] + w:
+                    self.distances[v] = self.distances[u] + w
+
+        return self.distances[finish - 1]
+
+def parse_input(file):
+    with open(file) as fin:
+        n, s, f = [int(x) for x in fin.readline().split()]
+        total_weight = 0
+
+        edges = []
+
+        for u in range(n):
+            adjacent = [int(x) for x in fin.readline().split()]
+            for v, w in enumerate(adjacent):
+                if w != -1 and u != v:
+                    edges.append((u, v, w))
+                    total_weight += w
+
+        return n, edges, s, f, total_weight
+
+#Execution
+n, edges, s, f, total_weight = parse_input('pathmgep.in')
+graph = Graph(n, edges, total_weight)
+d = graph.find_distance(s, f)
+
+with open('pathmgep.out', 'w') as fout:
+    if d <= total_weight:
+        fout.write(str(d))
+    else:
+        fout.write(str(-1))
diff --git a/pathmgep.in b/pathmgep.in
new file mode 100644
index 0000000..cbc53ba
--- /dev/null
+++ b/pathmgep.in
@@ -0,0 +1,4 @@
+3 1 2
+0 -1 2
+3 0 -1
+-1 4 0
\ No newline at end of file

From 4bb1a0a2225a73263f27cb99f6b318c95b98bf4d Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Thu, 27 Mar 2014 23:31:40 +0400
Subject: [PATCH 08/17]  Task 5 (Shortest path between all vertices)
 Floyd-Warshall solution created and successfully submitted.

---
 floyd_warshall.py | 46 ++++++++++++++++++++++++++++++++++++++++++++++
 pathsg.in         |  4 ++++
 2 files changed, 50 insertions(+)
 create mode 100644 floyd_warshall.py
 create mode 100644 pathsg.in

diff --git a/floyd_warshall.py b/floyd_warshall.py
new file mode 100644
index 0000000..9b9bc7f
--- /dev/null
+++ b/floyd_warshall.py
@@ -0,0 +1,46 @@
+__author__ = 'Антон Брагин'
+
+def parse_input(file):
+    with open(file) as f:
+        n, m = [int(x) for x in f.readline().split()]
+
+        #Create distances matrix. None is placeholder that will be replaces with +Inf
+        d = [[None for j in range(n)] for i in range(n)]
+
+        #Vertex always connected to itself with zero distance
+        for i in range(n):
+            d[i][i] = 0
+
+        total_weight = 0
+        #Read edges data
+        for i in range(m):
+            u, v, w = [int(x) for x in f.readline().split()]
+            d[u - 1][v - 1] = w
+            total_weight += w
+
+        #Replace None with the value that is greater then any path in graph without negative edges
+        for i in range(n):
+            for j in range(n):
+                if d[i][j] is None:
+                    d[i][j] = total_weight + 1
+
+        return n, d
+
+def floyd_warshall(n, d):
+    for k in range(n):
+        for i in range(n):
+            for j in range(n):
+                if d[i][k] + d[k][j] < d[i][j]:
+                    d[i][j] = d[i][k] + d[k][j]
+
+    return d
+
+#Execute
+n, d = parse_input('pathsg.in')
+d = floyd_warshall(n, d)
+
+#Write output
+with open('pathsg.out', 'w') as fout:
+    for row in d:
+        fout.write(' '.join(str(x) for x in row))
+        fout.write('\n')
\ No newline at end of file
diff --git a/pathsg.in b/pathsg.in
new file mode 100644
index 0000000..3d40042
--- /dev/null
+++ b/pathsg.in
@@ -0,0 +1,4 @@
+3 3
+1 2 5
+2 3 2
+3 1 8
\ No newline at end of file

From e1f79b7b5ba1be302b55fcb42001b2c2c30e4017 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Fri, 28 Mar 2014 01:26:55 +0400
Subject: [PATCH 09/17] Spanning tree solution created and basically tested.
 Solution fails with memory limit exceeded.

---
 spanning_tree.py            | 75 +++++++++++++++++++++++++++++++++++++
 spantree.in                 |  4 ++
 tests/spantree.in           |  4 ++
 tests/spantree1.in          |  3 ++
 tests/spantree2.in          |  6 +++
 tests/test_DSU.py           | 33 ++++++++++++++++
 tests/test_spanning_tree.py | 21 +++++++++++
 7 files changed, 146 insertions(+)
 create mode 100644 spanning_tree.py
 create mode 100644 spantree.in
 create mode 100644 tests/spantree.in
 create mode 100644 tests/spantree1.in
 create mode 100644 tests/spantree2.in
 create mode 100644 tests/test_DSU.py
 create mode 100644 tests/test_spanning_tree.py

diff --git a/spanning_tree.py b/spanning_tree.py
new file mode 100644
index 0000000..8750bbc
--- /dev/null
+++ b/spanning_tree.py
@@ -0,0 +1,75 @@
+__author__ = 'Антон Брагин'
+
+import math
+from operator import itemgetter
+
+class DSU:
+
+    def __init__(self, n):
+        #Create set of size n where each element is the parent of itself
+        self.parent = [i for i in range(n)]
+        self.size = [1 for i in range(n)]
+
+    def find_set(self, v):
+        if v == self.parent[v]:
+            return v
+        else:
+            self.parent[v] = self.find_set(self.parent[v])
+            return self.parent[v]
+
+    def union_sets(self, u, v):
+        uset = self.find_set(u)
+        vset = self.find_set(v)
+
+        if uset != vset:
+            if self.size[uset] < self.size[vset]:
+                self.parent[uset] = vset
+                self.size[vset] += self.size[uset]
+            else:
+                self.parent[vset] = uset
+                self.size[uset] += self.size[vset]
+
+def parse_input(file):
+    with open(file) as fin:
+        n = int(fin.readline().strip())
+        coordinates = []
+        for e in range(n):
+            x, y = [float(x) for x in fin.readline().split()]
+            #Append coordinate pair
+            coordinates.append((x, y))
+
+        #Number of edges in a complete graph can be calculated like this
+        edges = int(n * (n - 1) / 2)
+        edges = []
+        #Calculate distances between vertices
+        for u in range(len(coordinates)):
+            for v in range(u, len(coordinates)):
+                if u != v:
+                    p1 = coordinates[u]
+                    p2 = coordinates[v]
+                    edges.append((u, v, math.sqrt(math.pow(p1[0] - p2[0], 2) + math.pow(p1[1] - p2[1], 2))))
+
+        return n, edges
+
+def kruskal(n, edges):
+    edges = sorted(edges, key=itemgetter(2))
+    dsu = DSU(n)
+
+    tree_size = 0
+
+    for edge in edges:
+        u, v, d = edge
+        if dsu.find_set(u) != dsu.find_set(v):
+            dsu.union_sets(u, v)
+            tree_size += d
+
+
+    return tree_size
+
+#Execute
+n, edges = parse_input('spantree.in')
+tree_size = kruskal(n, edges)
+
+#Write output
+with open('spantree.out', 'w') as fout:
+    fout.write(str(tree_size))
diff --git a/spantree.in b/spantree.in
new file mode 100644
index 0000000..18c47c7
--- /dev/null
+++ b/spantree.in
@@ -0,0 +1,4 @@
+3
+0 0
+1 0
+0 1
diff --git a/tests/spantree.in b/tests/spantree.in
new file mode 100644
index 0000000..18c47c7
--- /dev/null
+++ b/tests/spantree.in
@@ -0,0 +1,4 @@
+3
+0 0
+1 0
+0 1
diff --git a/tests/spantree1.in b/tests/spantree1.in
new file mode 100644
index 0000000..3359ad7
--- /dev/null
+++ b/tests/spantree1.in
@@ -0,0 +1,3 @@
+1
+10 1
+
diff --git a/tests/spantree2.in b/tests/spantree2.in
new file mode 100644
index 0000000..9da8030
--- /dev/null
+++ b/tests/spantree2.in
@@ -0,0 +1,6 @@
+4
+0 1
+1 0
+-1 0
+0 -1
+
diff --git a/tests/test_DSU.py b/tests/test_DSU.py
new file mode 100644
index 0000000..4c5fffd
--- /dev/null
+++ b/tests/test_DSU.py
@@ -0,0 +1,33 @@
+from unittest import TestCase
+from spanning_tree import DSU
+
+__author__ = 'Антон Брагин'
+
+dsu_size = 10
+
+class TestDSU(TestCase):
+
+    def setUp(self):
+        self.dsu = DSU(dsu_size)
+
+    def test_find_set(self):
+        #Test that in the beginnng every element is the parent of itself
+        for i in range(dsu_size):
+            self.assertEqual(i, self.dsu.find_set(i))
+
+        #Unite and check
+        self.dsu.union_sets(0, 1)
+        self.assertEqual(self.dsu.find_set(0), self.dsu.find_set(1))
+
+        self.dsu.union_sets(5, 9)
+        self.assertEqual(self.dsu.find_set(5), self.dsu.find_set(9))
+
+        self.assertNotEqual(self.dsu.find_set(0), self.dsu.find_set(5))
+        self.assertNotEqual(self.dsu.find_set(0), self.dsu.find_set(3))
+        self.assertNotEqual(self.dsu.find_set(7), self.dsu.find_set(9))
+
+        self.dsu.union_sets(5, 7)
+        self.dsu.union_sets(0, 9)
+
+        print(self.dsu.parent)
+
diff --git a/tests/test_spanning_tree.py b/tests/test_spanning_tree.py
new file mode 100644
index 0000000..18d300a
--- /dev/null
+++ b/tests/test_spanning_tree.py
@@ -0,0 +1,21 @@
+from unittest import TestCase
+import spanning_tree
+
+__author__ = 'Антон Брагин'
+
+
+class TestSpanningTree(TestCase):
+
+    def test_spanning_tree(self):
+
+        n, edges = spanning_tree.parse_input('spantree.in')
+        tree_size = spanning_tree.kruskal(n, edges)
+        self.assertEqual(2, tree_size)
+
+        n, edges = spanning_tree.parse_input('spantree1.in')
+        tree_size = spanning_tree.kruskal(n, edges)
+        self.assertEqual(0, tree_size)
+
+        n, edges = spanning_tree.parse_input('spantree2.in')
+        tree_size = spanning_tree.kruskal(n, edges)
+        self.assertAlmostEqual(4.2426406871192851464050661726291, tree_size)

From cec770d1c22e0779731e16ba3da9b52a7ffbd2a5 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Fri, 28 Mar 2014 20:01:30 +0400
Subject: [PATCH 10/17] Documentation added to the spanning tree solution.

---
 spanning_tree.py | 37 ++++++++++++++++++++++++++++++++++---
 1 file changed, 34 insertions(+), 3 deletions(-)

diff --git a/spanning_tree.py b/spanning_tree.py
index 8750bbc..b040946 100644
--- a/spanning_tree.py
+++ b/spanning_tree.py
@@ -4,13 +4,26 @@
 from operator import itemgetter
 
 class DSU:
+    '''
+    Disjoint set union implementation with paths compression and ranks heuristics implemented
+    '''
 
     def __init__(self, n):
-        #Create set of size n where each element is the parent of itself
+        """
+        Create set of size n where each element is the parent of itself.
+
+        :param n: number of different elements/sets
+        """
         self.parent = [i for i in range(n)]
         self.size = [1 for i in range(n)]
 
     def find_set(self, v):
+        """
+        Find set to which element belongs.
+
+        :param v: element to search
+        :return: number of set
+        """
         if v == self.parent[v]:
             return v
         else:
@@ -18,6 +31,12 @@ def find_set(self, v):
             return self.parent[v]
 
     def union_sets(self, u, v):
+        """
+        Unite the sets provided.
+
+        :param u: first set to unite
+        :param v: second set to unite
+        """
         uset = self.find_set(u)
         vset = self.find_set(v)
 
@@ -30,6 +49,12 @@ def union_sets(self, u, v):
                 self.size[uset] += self.size[vset]
 
 def parse_input(file):
+    """
+    Read input from the file provided and return graph.
+
+    :param file: file to read data from
+    :return: tuple with number of graph vertices and list of tuples containing source vertex, sink vertex, edge weight
+    """
     with open(file) as fin:
         n = int(fin.readline().strip())
         coordinates = []
@@ -38,8 +63,7 @@ def parse_input(file):
             #Append coordinate pair
             coordinates.append((x, y))
 
-        #Number of edges in a complete graph can be calculated like this
-        edges = int(n * (n - 1) / 2)
+        #Generate all possible edges of complete graph and distances between them
         edges = []
         #Calculate distances between vertices
         for u in range(len(coordinates)):
@@ -52,6 +76,13 @@ def parse_input(file):
         return n, edges
 
 def kruskal(n, edges):
+    """
+    Runs Kruskal algorithm and return minimum spanning tree size.
+
+    :param n: number of vertices in the graph
+    :param edges: graph edges
+    :return: size of minimum spanning tree
+    """
     edges = sorted(edges, key=itemgetter(2))
     dsu = DSU(n)
 

From f0bf3f6ef0ce3758bfa8bbec5ad8ebb1bfa60f19 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Thu, 10 Apr 2014 21:10:50 +0400
Subject: [PATCH 11/17] Code for tasks 1 - 3 and 5 is ready for review.

---
 abragin/find_min.py | 9 ---------
 1 file changed, 9 deletions(-)
 delete mode 100644 abragin/find_min.py

diff --git a/abragin/find_min.py b/abragin/find_min.py
deleted file mode 100644
index 9701eab..0000000
--- a/abragin/find_min.py
+++ /dev/null
@@ -1,9 +0,0 @@
-a = [2, 5, 9, 7]
-
-curmin = a[0]
-
-for x in a:
-    if x < curmin:
-        curmin = i
-
-print(curmin)

From e83f7e57ac98e5698e2c5893e567d58a1ce6ddff Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Thu, 10 Apr 2014 21:36:18 +0400
Subject: [PATCH 12/17] Code refactored to make folder directory structure more
 clear.

---
 .gitignore                                    |      3 +-
 components.in                                 |      3 -
 README.md => graphs/README.md                 |      0
 graphs/__init__.py                            |      1 +
 bellman_ford.py => graphs/bellman_ford.py     |      0
 components.py => graphs/components.py         |      0
 .../components_fast.py                        |      0
 floyd_warshall.py => graphs/floyd_warshall.py |      0
 shortest_path.py => graphs/shortest_path.py   |      0
 spanning_tree.py => graphs/spanning_tree.py   |      0
 pathbge1.in                                   |      8 -
 pathmgep.in                                   |      4 -
 pathsg.in                                     |      4 -
 spantree.in                                   |      4 -
 test.in                                       | 200001 ---------------
 tests/test_DSU.py                             |      4 +-
 tests/test_components.py                      |      7 +-
 tests/test_spanning_tree.py                   |      4 +-
 18 files changed, 14 insertions(+), 200029 deletions(-)
 delete mode 100644 components.in
 rename README.md => graphs/README.md (100%)
 create mode 100644 graphs/__init__.py
 rename bellman_ford.py => graphs/bellman_ford.py (100%)
 rename components.py => graphs/components.py (100%)
 rename components_fast.py => graphs/components_fast.py (100%)
 rename floyd_warshall.py => graphs/floyd_warshall.py (100%)
 rename shortest_path.py => graphs/shortest_path.py (100%)
 rename spanning_tree.py => graphs/spanning_tree.py (100%)
 delete mode 100644 pathbge1.in
 delete mode 100644 pathmgep.in
 delete mode 100644 pathsg.in
 delete mode 100644 spantree.in
 delete mode 100644 test.in

diff --git a/.gitignore b/.gitignore
index 18294ef..8243744 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,3 +1,4 @@
 .idea/
 **__pycache__/
-**.out
\ No newline at end of file
+**.out
+**.in
\ No newline at end of file
diff --git a/components.in b/components.in
deleted file mode 100644
index 938abf4..0000000
--- a/components.in
+++ /dev/null
@@ -1,3 +0,0 @@
-4 2
-1 3
-2 4
diff --git a/README.md b/graphs/README.md
similarity index 100%
rename from README.md
rename to graphs/README.md
diff --git a/graphs/__init__.py b/graphs/__init__.py
new file mode 100644
index 0000000..8606108
--- /dev/null
+++ b/graphs/__init__.py
@@ -0,0 +1 @@
+__author__ = 'Антон Брагин'
diff --git a/bellman_ford.py b/graphs/bellman_ford.py
similarity index 100%
rename from bellman_ford.py
rename to graphs/bellman_ford.py
diff --git a/components.py b/graphs/components.py
similarity index 100%
rename from components.py
rename to graphs/components.py
diff --git a/components_fast.py b/graphs/components_fast.py
similarity index 100%
rename from components_fast.py
rename to graphs/components_fast.py
diff --git a/floyd_warshall.py b/graphs/floyd_warshall.py
similarity index 100%
rename from floyd_warshall.py
rename to graphs/floyd_warshall.py
diff --git a/shortest_path.py b/graphs/shortest_path.py
similarity index 100%
rename from shortest_path.py
rename to graphs/shortest_path.py
diff --git a/spanning_tree.py b/graphs/spanning_tree.py
similarity index 100%
rename from spanning_tree.py
rename to graphs/spanning_tree.py
diff --git a/pathbge1.in b/pathbge1.in
deleted file mode 100644
index 79dadc6..0000000
--- a/pathbge1.in
+++ /dev/null
@@ -1,8 +0,0 @@
-7 7
-1 2
-3 1
-4 1
-2 4
-4 5
-6 7
-6 4
\ No newline at end of file
diff --git a/pathmgep.in b/pathmgep.in
deleted file mode 100644
index cbc53ba..0000000
--- a/pathmgep.in
+++ /dev/null
@@ -1,4 +0,0 @@
-3 1 2
-0 -1 2
-3 0 -1
--1 4 0
\ No newline at end of file
diff --git a/pathsg.in b/pathsg.in
deleted file mode 100644
index 3d40042..0000000
--- a/pathsg.in
+++ /dev/null
@@ -1,4 +0,0 @@
-3 3
-1 2 5
-2 3 2
-3 1 8
\ No newline at end of file
diff --git a/spantree.in b/spantree.in
deleted file mode 100644
index 18c47c7..0000000
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-2436 67037
-70239 83336
-61673 78247
-5117 27944
-14903 67311
-13366 39983
-78050 85781
-51180 1864
-71368 80293
-78678 7414
-72248 4472
-28802 28023
-13538 89521
-33142 94866
-99545 23648
-73891 7503
-41606 96291
-35360 79172
-65433 60002
-6387 99698
-10854 99857
-38427 75594
-85549 72893
-3499 44843
-49612 38493
-83453 12370
-24159 55365
-20188 36246
-67272 57984
-70218 76876
-98725 65468
-28748 13723
-3244 42527
-49547 54651
-22685 38030
-21502 55137
-88753 99859
-2533 54050
-67368 97901
-17650 56837
-78310 70102
-128 81827
-64810 14814
-32581 91909
-25462 12013
-39866 48187
-85093 60405
-35050 82300
-89341 58970
-62452 75581
-88375 53400
-49227 5804
-24505 70314
-88908 73322
-37184 53229
-13496 60593
-29715 8057
-76121 29590
-93247 24230
-91344 94199
-18887 95385
-74978 55617
-28157 53143
-65505 98603
-50609 19303
-93037 47299
-68380 94381
-81424 68120
-14070 96333
-58133 32307
-59397 19192
-16768 57414
-37589 19668
-13220 64643
-91533 51917
-94899 19523
-18990 37933
-59527 24207
-41090 97847
-77905 78249
-85633 42182
-10704 71074
-37119 34903
-22380 30653
-22651 63832
-92132 76898
-9042 30409
-54270 83063
-85319 93535
-78876 62279
-39755 46038
-57299 66344
-30561 17665
-37504 47767
-37773 60763
-62691 50011
-23440 21678
diff --git a/tests/test_DSU.py b/tests/test_DSU.py
index 4c5fffd..dfda14a 100644
--- a/tests/test_DSU.py
+++ b/tests/test_DSU.py
@@ -1,5 +1,7 @@
 from unittest import TestCase
-from spanning_tree import DSU
+
+from graphs.spanning_tree import DSU
+
 
 __author__ = 'Антон Брагин'
 
diff --git a/tests/test_components.py b/tests/test_components.py
index a584818..83b3d17 100644
--- a/tests/test_components.py
+++ b/tests/test_components.py
@@ -1,10 +1,13 @@
-from unittest import TestCase, skip
+from unittest import TestCase
+
+from graphs import components_fast as components
+
 
 __author__ = 'Антон Брагин'
 
 import random
 import datetime
-import components_fast as components
+
 
 class TestComponents(TestCase):
 
diff --git a/tests/test_spanning_tree.py b/tests/test_spanning_tree.py
index 18d300a..48dd196 100644
--- a/tests/test_spanning_tree.py
+++ b/tests/test_spanning_tree.py
@@ -1,5 +1,7 @@
 from unittest import TestCase
-import spanning_tree
+
+from graphs import spanning_tree
+
 
 __author__ = 'Антон Брагин'
 

From 54627e7084abd9bf69434b237f913c95b60e9afa Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Fri, 11 Apr 2014 21:44:08 +0400
Subject: [PATCH 13/17] Solutions for sequences problems 1 - 4 added.

---
 sequences/__init__.py          |   1 +
 sequences/allvectors.py        |  24 +++++++
 sequences/choose.py            |  28 +++++++++
 sequences/nextperm.py          | 108 ++++++++++++++++++++++++++++++++
 sequences/permutations.py      |  77 +++++++++++++++++++++++
 sequences/vectors.py           |  31 ++++++++++
 tests/test_factorial_number.py | 110 +++++++++++++++++++++++++++++++++
 7 files changed, 379 insertions(+)
 create mode 100644 sequences/__init__.py
 create mode 100644 sequences/allvectors.py
 create mode 100644 sequences/choose.py
 create mode 100644 sequences/nextperm.py
 create mode 100644 sequences/permutations.py
 create mode 100644 sequences/vectors.py
 create mode 100644 tests/test_factorial_number.py

diff --git a/sequences/__init__.py b/sequences/__init__.py
new file mode 100644
index 0000000..8606108
--- /dev/null
+++ b/sequences/__init__.py
@@ -0,0 +1 @@
+__author__ = 'Антон Брагин'
diff --git a/sequences/allvectors.py b/sequences/allvectors.py
new file mode 100644
index 0000000..47e36d0
--- /dev/null
+++ b/sequences/allvectors.py
@@ -0,0 +1,24 @@
+__author__ = 'Антон Брагин'
+
+import sys
+
+#Print all binary vectors of given length
+def create_binary(n, writer=sys.stdout):
+    extend([], n, writer=writer)
+
+def extend(sequence, n, writer):
+    if n == 0:
+        writer.write(''.join(str(x) for x in sequence))
+        writer.write('\n')
+        return
+    extend(sequence + [0], n - 1, writer)
+    extend(sequence + [1], n - 1, writer)
+
+if __name__ == '__main__':
+    #Read input
+    with open('allvectors.in') as f:
+        n = int(f.readline().strip())
+
+        with open('allvectors.out', 'w') as fout:
+            create_binary(n, writer=fout)
+
diff --git a/sequences/choose.py b/sequences/choose.py
new file mode 100644
index 0000000..202c28a
--- /dev/null
+++ b/sequences/choose.py
@@ -0,0 +1,28 @@
+__author__ = 'Антон Брагин'
+
+def generate_combinations(n, k):
+    elements = [i + 1 for i in range(n)]
+    combinations = []
+    extend([], elements, k, -1, combinations)
+
+    return combinations
+
+def extend(combination, elements, k, last, combinations):
+    if len(elements) == 0 or k == 0:
+        combinations.append(combination)
+    else:
+        for e in elements:
+            if e > last:
+                extend(combination + [e], elements, k - 1, e, combinations)
+
+if __name__ == '__main__':
+    #Read input
+    with open('choose.in') as f:
+        n, k = tuple(int(x) for x in f.readline().strip().split())
+
+        combinations = generate_combinations(n, k)
+
+        with open('choose.out', 'w') as fout:
+            for c in combinations:
+                fout.write(' '.join(str(x) for x in c))
+                fout.write('\n')
\ No newline at end of file
diff --git a/sequences/nextperm.py b/sequences/nextperm.py
new file mode 100644
index 0000000..6808939
--- /dev/null
+++ b/sequences/nextperm.py
@@ -0,0 +1,108 @@
+__author__ = 'Антон Брагин'
+
+import math
+import sys
+
+#Create and return previous and next permutation
+
+#Maximum permutation length is set in the task conditions
+MAX_PERMUTATION_LENGTH = 8
+#Precalculate factorial powers
+factorial_powers = [math.factorial(i) for i in range(1, MAX_PERMUTATION_LENGTH + 1)]
+
+class FactorialNumber:
+    '''
+    Represent number if factorial number system that can be converted to permutation
+    '''
+
+    def __init__(self, n):
+        self.value = [0]
+        i = 0
+        while n > 0:
+            self.value.append(n % (factorial_powers[i + 1]) // factorial_powers[i])
+            n -= n % (factorial_powers[i + 1])
+            i += 1
+
+    def increment(self):
+        self.value.append(0)
+        for i in range(1, len(self.value)):
+            if self.value[i] < i:
+                self.value[i] += 1
+                break
+            else:
+                self.value[i] = 0
+
+        if self.value[-1] == 0:
+            del self.value[-1]
+
+        return self
+
+    def decrement(self):
+        for i in range(1, len(self.value)):
+            if self.value[i] > 0:
+                self.value[i] -= 1
+                break
+            else:
+                self.value[i] = i
+
+        return self
+
+def get_permutation(n, permutation_number):
+
+    inv = permutation_number.value + [0] * (n - len(permutation_number.value))
+    sequence = [i + 1 for i in range(n)]
+
+    permutation = []
+
+    for i in range(len(inv)):
+        element = inv[len(inv) - i - 1]
+        permutation.append(sequence[element])
+        del sequence[element]
+
+    return permutation
+
+def get_permutation_number(permutation):
+
+    factorial = []
+    for i in range(len(permutation)):
+        number_of_inversions = 0
+        for j in range(i, len(permutation)):
+            if permutation[j] < permutation[i]:
+                number_of_inversions += 1
+        factorial.append(number_of_inversions)
+
+    fn = FactorialNumber(0)
+    factorial.reverse()
+    fn.value = factorial
+
+    return fn
+
+#-------------------------------------------------------Execution-------------------------------------------------------
+
+if __name__ == '__main__':
+    #Read input
+    with open('nextperm.in') as f:
+        n = int(f.readline().strip())
+        permutation = [int(x) for x in f.readline().split()]
+
+        fn = get_permutation_number(permutation)
+
+        with open('nextperm.out', 'w') as fout:
+
+            down = get_permutation_number(permutation).decrement()
+
+            #Write previous
+            if sum(fn.value) != 0:
+                fout.write(' '.join(str(x) for x in get_permutation(n, down)))
+            else:
+                fout.write(' '.join(['0'] * n))
+
+            fout.write('\n')
+
+            up = get_permutation_number(permutation).increment()
+
+            #Write next
+            if len(up.value) == len(fn.value):
+                fout.write(' '.join(str(x) for x in get_permutation(n, up)))
+            else:
+                fout.write(' '.join(['0'] * n))
\ No newline at end of file
diff --git a/sequences/permutations.py b/sequences/permutations.py
new file mode 100644
index 0000000..9dde4db
--- /dev/null
+++ b/sequences/permutations.py
@@ -0,0 +1,77 @@
+__author__ = 'Антон Брагин'
+
+import math
+import sys
+
+#Create and return all possible permutations of given length
+
+#Maximum permutation length is set in the task conditions
+MAX_PERMUTATION_LENGTH = 8
+#Precalculate factorial powers
+factorial_powers = [math.factorial(i) for i in range(1, MAX_PERMUTATION_LENGTH + 1)]
+
+
+class FactorialNumber:
+    '''
+    Represent number if factorial number system that can be converted to permutation
+    '''
+
+    def __init__(self, n):
+        self.value = [0]
+        i = 0
+        while n > 0:
+            self.value.append(n % (factorial_powers[i + 1]) // factorial_powers[i])
+            n -= n % (factorial_powers[i + 1])
+            i += 1
+
+    def increment(self):
+        self.value.append(0)
+        for i in range(1, len(self.value)):
+            if self.value[i] < i:
+                self.value[i] += 1
+                break
+            else:
+                self.value[i] = 0
+
+        if self.value[-1] == 0:
+            del self.value[-1]
+
+        return self
+
+    def decrement(self):
+        for i in range(1, len(self.value)):
+            if self.value[i] > 0:
+                self.value[i] -= 1
+                break
+            else:
+                self.value[i] = i
+
+def create_permutations(n, writer=sys.stdout):
+    fn = FactorialNumber(0)
+
+    for i in range(math.factorial(n)):
+        writer.write(' '.join(str(x) for x in get_permutation(n, fn)))
+        writer.write('\n')
+        fn.increment()
+
+def get_permutation(n, permutation_number):
+
+    inv = permutation_number.value + [0] * (n - len(permutation_number.value))
+    sequence = [i + 1 for i in range(n)]
+
+    permutation = []
+
+    for i in range(len(inv)):
+        element = inv[len(inv) - i - 1]
+        permutation.append(sequence[element])
+        del sequence[element]
+
+    return permutation
+
+if __name__ == '__main__':
+    #Read input
+    with open('permutations.in') as f:
+        n = int(f.readline().strip())
+
+        with open('permutations.out', 'w') as fout:
+            create_permutations(n, fout)
\ No newline at end of file
diff --git a/sequences/vectors.py b/sequences/vectors.py
new file mode 100644
index 0000000..6d4d33b
--- /dev/null
+++ b/sequences/vectors.py
@@ -0,0 +1,31 @@
+__author__ = 'Антон Брагин'
+
+#Print all vectors of length n without two consecutive ones
+
+def create_vectors(n):
+    vectors = []
+    extend([], n, 0, vectors)
+    return vectors
+
+def extend(sequence, n, last, vectors):
+    if n == 0:
+        vectors.append(sequence)
+        return
+    extend(sequence + [0], n - 1, 0, vectors)
+    if last != 1:
+        extend(sequence + [1], n - 1, 1, vectors)
+
+if __name__ == '__main__':
+    #Read input
+    with open('vectors.in') as f:
+        n = int(f.readline().strip())
+
+    vectors = create_vectors(n)
+
+    with open('vectors.out', 'w') as fout:
+        fout.write(str(len(vectors)))
+        fout.write('\n')
+
+        for v in vectors:
+            fout.write(''.join(str(x) for x in v))
+            fout.write('\n')
\ No newline at end of file
diff --git a/tests/test_factorial_number.py b/tests/test_factorial_number.py
new file mode 100644
index 0000000..9cde169
--- /dev/null
+++ b/tests/test_factorial_number.py
@@ -0,0 +1,110 @@
+from unittest import TestCase, skip
+from sequences.permutations import FactorialNumber, get_permutation
+from sequences.nextperm import get_permutation_number
+
+__author__ = 'Антон Брагин'
+
+
+class TestFactorialNumber(TestCase):
+
+    def test_create(self):
+
+        n = 0
+        f = FactorialNumber(n)
+        self.assertEqual([0], f.value)
+
+        n = 1
+        f = FactorialNumber(n)
+        self.assertEqual([0, 1], f.value)
+
+        n = 2
+        f = FactorialNumber(n)
+        self.assertEqual([0, 0, 1], f.value)
+
+        n = 3
+        f = FactorialNumber(n)
+        self.assertEqual([0, 1, 1], f.value)
+
+        n = 4
+        f = FactorialNumber(n)
+        self.assertEqual([0, 0, 2], f.value)
+
+        n = 5
+        f = FactorialNumber(n)
+        self.assertEqual([0, 1, 2], f.value)
+
+        n = 6
+        f = FactorialNumber(n)
+        self.assertEqual([0, 0, 0, 1], f.value)
+
+        n = 23
+        f = FactorialNumber(n)
+        self.assertEqual([0, 1, 2, 3], f.value)
+
+        n = 719
+        f = FactorialNumber(n)
+        self.assertEqual([0, 1, 2, 3, 4, 5], f.value)
+
+        n = 720
+        f = FactorialNumber(n)
+        self.assertEqual([0, 0, 0, 0, 0, 0, 1], f.value)
+
+    def test_increment(self):
+
+        n = 0
+        f = FactorialNumber(n)
+        self.assertEqual([0, 1], f.increment().value)
+        self.assertEqual([0, 0, 1], f.increment().value)
+        self.assertEqual([0, 1, 1], f.increment().value)
+        self.assertEqual([0, 0, 2], f.increment().value)
+        self.assertEqual([0, 1, 2], f.increment().value)
+        self.assertEqual([0, 0, 0, 1], f.increment().value)
+        self.assertEqual([0, 1, 0, 1], f.increment().value)
+        self.assertEqual([0, 0, 1, 1], f.increment().value)
+
+        n = 719
+        f = FactorialNumber(n)
+        self.assertEqual([0, 0, 0, 0, 0, 0, 1], f.increment().value)
+
+    def test_decrement(self):
+        for n in range(1, 100):
+            f = FactorialNumber(n)
+            fval = f.value
+            f.increment().decrement()
+            self.assertEqual(fval, f.value)
+
+    def test_permutation(self):
+
+        n = 5
+        f = FactorialNumber(0)
+        p = get_permutation(n, f)
+        self.assertEqual([1, 2, 3, 4, 5], p)
+
+        f.increment()
+        p = get_permutation(n, f)
+        self.assertEqual([1, 2, 3, 5, 4], p)
+
+        n = 719
+        f = FactorialNumber(n)
+        p = get_permutation(6, f)
+        self.assertEqual([6, 5, 4, 3, 2, 1], p)
+
+    def test_get_permutation_number(self):
+        p = [1, 2, 3, 4, 5]
+        p = [5, 4, 3, 2, 1]
+        p = [1, 2, 3]
+
+        self.assertEqual([0, 0, 0], get_permutation_number([1, 2, 3]).value)
+        self.assertEqual([0, 1, 2], get_permutation_number([3, 2, 1]).value)
+
+        p = [1, 2, 3]
+        pn = get_permutation_number(p)
+        self.assertEqual(p, get_permutation(3, pn))
+
+        p = [3, 2, 1]
+        pn = get_permutation_number(p)
+        self.assertEqual(p, get_permutation(3, pn))
+
+        p = [5, 2, 4, 3, 1]
+        pn = get_permutation_number(p)
+        self.assertEqual(p, get_permutation(5, pn))

From 3e6adcb83b1b568176f1fb3674bbf67ba94760a6 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Sun, 13 Apr 2014 12:21:30 +0400
Subject: [PATCH 14/17] Solutions for problems B6 - B8 added.

---
 sequences/nextchoose.py        | 25 +++++++++++
 sequences/nextperm_fast.py     | 76 ++++++++++++++++++++++++++++++++++
 sequences/nextvector.py        | 41 ++++++++++++++++++
 sequences/subsets.py           | 26 ++++++++++++
 tests/test_next_permutation.py | 43 +++++++++++++++++++
 5 files changed, 211 insertions(+)
 create mode 100644 sequences/nextchoose.py
 create mode 100644 sequences/nextperm_fast.py
 create mode 100644 sequences/nextvector.py
 create mode 100644 sequences/subsets.py
 create mode 100644 tests/test_next_permutation.py

diff --git a/sequences/nextchoose.py b/sequences/nextchoose.py
new file mode 100644
index 0000000..80e4b78
--- /dev/null
+++ b/sequences/nextchoose.py
@@ -0,0 +1,25 @@
+__author__ = 'Антон Брагин'
+
+def generate_next(n, k, choose):
+    for i in range(k):
+        if choose[len(choose) - i - 1] < n - i:
+            choose[len(choose) - i - 1] += 1
+            for j in range(len(choose) - i, len(choose)):
+                choose[j] = choose[j - 1] + 1
+            return choose
+    return None
+
+if __name__ == '__main__':
+
+    with open('nextchoose.in') as f:
+        n, k = [int(x) for x in f.readline().split()]
+        choose = [int(x) for x in f.readline().split()]
+
+    next = generate_next(n, k, choose)
+
+    with open('nextchoose.out', 'w') as f:
+        if next is None:
+            f.write('-1')
+        else:
+            f.write(' '.join(str(x) for x in next))
+        f.write('\n')
diff --git a/sequences/nextperm_fast.py b/sequences/nextperm_fast.py
new file mode 100644
index 0000000..931e216
--- /dev/null
+++ b/sequences/nextperm_fast.py
@@ -0,0 +1,76 @@
+__author__ = 'Антон Брагин'
+
+def generate_next(permutation):
+    #Find maximum decreasing suffix
+    current_max = permutation[-1]
+    max_decreasing_suffix = len(permutation) - 1
+    for i in range(len(permutation)):
+        current = permutation[len(permutation) - i - 2]
+        if current > current_max:
+            current_max = current
+            max_decreasing_suffix = len(permutation) - i - 2
+        else:
+            break
+
+    if max_decreasing_suffix == 0:
+        return None
+
+    prefix = permutation[:max_decreasing_suffix - 1]
+
+    element = max(permutation[max_decreasing_suffix:])
+    for x in permutation[max_decreasing_suffix:]:
+        if x > permutation[max_decreasing_suffix - 1] and x < element:
+            element = x
+
+    suffix = permutation[max_decreasing_suffix:]
+    suffix.remove(element)
+    suffix.append(permutation[max_decreasing_suffix - 1])
+
+    return prefix + [element] + sorted(suffix)
+
+def generate_previous(permutation):
+    #Find maximum increasing suffix
+    current_min = permutation[-1]
+    max_increasing_suffix = len(permutation) - 1
+    for i in range(len(permutation)):
+        current = permutation[len(permutation) - i - 2]
+        if current < current_min:
+            current_min = current
+            max_increasing_suffix = len(permutation) - i - 2
+        else:
+            break
+
+    if max_increasing_suffix == 0:
+        return None
+
+    prefix = permutation[:max_increasing_suffix - 1]
+
+    element = min(permutation[max_increasing_suffix:])
+    for x in permutation[max_increasing_suffix:]:
+        if x < permutation[max_increasing_suffix - 1] and x > element:
+            element = x
+
+    suffix = permutation[max_increasing_suffix:]
+    suffix.remove(element)
+    suffix.append(permutation[max_increasing_suffix - 1])
+
+    return prefix + [element] + sorted(suffix, reverse=True)
+
+if __name__ == '__main__':
+    #Read input
+    with open('nextperm.in') as f:
+        n = int(f.readline().strip())
+        permutation = [int(x) for x in f.readline().split()]
+
+    previous = generate_previous(permutation)
+    if previous is None:
+        previous = [0] * len(permutation)
+    next = generate_next(permutation)
+    if next is None:
+        next = [0] * len(permutation)
+
+    with open('nextperm.out', 'w') as f:
+        f.write(' '.join(str(x) for x in previous))
+        f.write('\n')
+        f.write(' '.join(str(x) for x in next))
+        f.write('\n')
\ No newline at end of file
diff --git a/sequences/nextvector.py b/sequences/nextvector.py
new file mode 100644
index 0000000..80917b0
--- /dev/null
+++ b/sequences/nextvector.py
@@ -0,0 +1,41 @@
+__author__ = 'Антон Брагин'
+
+def generate_vectors(vector):
+    return (decrement(list(vector)), increment(vector))
+
+def increment(vector):
+    for i in range(len(vector)):
+        if vector[len(vector) - i - 1] == 0:
+            vector[len(vector) - i - 1] = 1
+            return vector
+        else:
+            vector[len(vector) - i - 1] = 0
+    return None
+
+def decrement(vector):
+    for i in range(len(vector)):
+        if vector[len(vector) - i - 1] == 1:
+            vector[len(vector) - i - 1] = 0
+            return vector
+        else:
+            vector[len(vector) - i - 1] = 1
+    return None
+
+if __name__ == '__main__':
+    #Read input
+    with open('nextvector.in') as f:
+        vector = [int(x) for x in f.readline().strip()]
+
+        prev_next = generate_vectors(vector)
+
+        with open('nextvector.out', 'w') as fout:
+            if prev_next[0] is not None:
+                fout.write(''.join(str(x) for x in prev_next[0]))
+            else:
+                fout.write('-')
+            fout.write('\n')
+            if prev_next[1] is not None:
+                fout.write(''.join(str(x) for x in prev_next[1]))
+            else:
+                fout.write('-')
+            fout.write('\n')
\ No newline at end of file
diff --git a/sequences/subsets.py b/sequences/subsets.py
new file mode 100644
index 0000000..26243b8
--- /dev/null
+++ b/sequences/subsets.py
@@ -0,0 +1,26 @@
+__author__ = 'Антон Брагин'
+
+def generate_subsets(n):
+    elements = [x + 1 for x in range(n)]
+    subsets = []
+    extend_subset([], elements, -1, subsets)
+    return subsets
+
+def extend_subset(subset, elements, last, subsets):
+    #if len(subset) > 0:
+    subsets.append(subset)
+    for e in elements:
+        if e > last:
+            extend_subset(subset + [e], elements, e, subsets)
+
+if __name__ == '__main__':
+    #Read input
+    with open('subsets.in') as f:
+        n = int(f.readline().strip())
+
+        subsets = generate_subsets(n)
+
+        with open('subsets.out', 'w') as fout:
+            for s in subsets:
+                fout.write(' '.join(str(x) for x in s))
+                fout.write('\n')
diff --git a/tests/test_next_permutation.py b/tests/test_next_permutation.py
new file mode 100644
index 0000000..c383a5e
--- /dev/null
+++ b/tests/test_next_permutation.py
@@ -0,0 +1,43 @@
+from unittest import TestCase, skip
+
+__author__ = 'Антон Брагин'
+
+from sequences import nextperm_fast
+
+class TestPermutations(TestCase):
+
+    def test_generate_next(self):
+
+        permutation = [1, 2, 3, 4]
+        next = nextperm_fast.generate_next(permutation)
+        self.assertEqual([1, 2, 4, 3], next)
+
+        permutation = [3, 2, 4, 1]
+        next = nextperm_fast.generate_next(permutation)
+        self.assertEqual([3, 4, 1, 2], next)
+
+        permutation = [1, 4, 3, 2]
+        next = nextperm_fast.generate_next(permutation)
+        self.assertEqual([2, 1, 3, 4], next)
+
+        permutation = [4, 3, 2, 1]
+        next = nextperm_fast.generate_next(permutation)
+        self.assertEqual(None, next)
+
+    def test_generate_previous(self):
+
+        permutation = [1, 2, 3, 4]
+        next = nextperm_fast.generate_previous(permutation)
+        self.assertEqual(None, next)
+
+        permutation = [2, 3, 4, 1]
+        next = nextperm_fast.generate_previous(permutation)
+        self.assertEqual([2, 3, 1, 4], next)
+
+        permutation = [4, 3, 2, 1]
+        next = nextperm_fast.generate_previous(permutation)
+        self.assertEqual([4, 3, 1, 2], next)
+
+        permutation = [2, 1, 3, 4]
+        next = nextperm_fast.generate_previous(permutation)
+        self.assertEqual([1, 4, 3, 2], next)

From 5931adebc9c426fc05dcf5a4595a7cab8a95141e Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Sun, 18 May 2014 22:30:55 +0400
Subject: [PATCH 15/17] Solutions for tasks C-4...C-7 created and submitted.

---
 problemsc/__init__.py     |  1 +
 problemsc/airplane.py     | 20 +++++++++++++++++
 problemsc/anagrams.py     | 47 +++++++++++++++++++++++++++++++++++++++
 problemsc/harddrive.py    | 22 ++++++++++++++++++
 problemsc/maxpiece.py     | 44 ++++++++++++++++++++++++++++++++++++
 problemsc/olympic.py      | 31 ++++++++++++++++++++++++++
 tests/anagrams_profile.py | 13 +++++++++++
 tests/bitoperations.py    | 14 ++++++++++++
 8 files changed, 192 insertions(+)
 create mode 100644 problemsc/__init__.py
 create mode 100644 problemsc/airplane.py
 create mode 100644 problemsc/anagrams.py
 create mode 100644 problemsc/harddrive.py
 create mode 100644 problemsc/maxpiece.py
 create mode 100644 problemsc/olympic.py
 create mode 100644 tests/anagrams_profile.py
 create mode 100644 tests/bitoperations.py

diff --git a/problemsc/__init__.py b/problemsc/__init__.py
new file mode 100644
index 0000000..8606108
--- /dev/null
+++ b/problemsc/__init__.py
@@ -0,0 +1 @@
+__author__ = 'Антон Брагин'
diff --git a/problemsc/airplane.py b/problemsc/airplane.py
new file mode 100644
index 0000000..f0b5a47
--- /dev/null
+++ b/problemsc/airplane.py
@@ -0,0 +1,20 @@
+__author__ = 'Антон Брагин'
+
+def calculate_fuel(plane_mass, alpha):
+    if 1000 - alpha <= 0:
+        return None
+    else:
+        return alpha * plane_mass / (1000 - alpha)
+
+if __name__ == '__main__':
+    with open('airplane.in') as f:
+        plane, num_pass, alpha = [float(x) for x in f.readline().split()]
+        passengers = [float(x) for x in f.readline().split()]
+
+    fuel = calculate_fuel(plane + sum(passengers), alpha)
+
+    with open('airplane.out', 'w') as f:
+        if fuel:
+            f.write(str(fuel))
+        else:
+            f.write('Impossible')
\ No newline at end of file
diff --git a/problemsc/anagrams.py b/problemsc/anagrams.py
new file mode 100644
index 0000000..c0b20cf
--- /dev/null
+++ b/problemsc/anagrams.py
@@ -0,0 +1,47 @@
+import time
+
+__author__ = 'Антон Брагин'
+
+vovels = set(['a', 'e', 'i', 'o', 'u', 'y'])
+anagrams = []
+printed = set()
+
+def create_anagrams(prefix, alphabet):
+    if not alphabet:
+        word = ''.join(prefix)
+        if word not in printed:
+            anagrams.append(word)
+            printed.add(word)
+        return
+
+    index = len(prefix) - len(alphabet)
+
+    for i, letter in enumerate(alphabet):
+        if index == 0 or letter not in vovels or prefix[index - 1] not in vovels:
+            prefix[index] = letter
+            create_anagrams(prefix, alphabet[:i] + alphabet[i + 1:])
+
+def run():
+    #Execution
+    time_start = time.time()
+
+    with open('anagrams.in') as f:
+        word = f.readline().strip()
+        alphabet = sorted(list(word))
+
+    prefix = [None for _ in range(len(alphabet))]
+
+    create_anagrams(prefix, alphabet)
+
+    with open('anagrams.out', 'w') as f:
+        f.write('\n'.join(anagrams))
+
+    time_elapsed = time.time() - time_start
+    print('Elapsed time: {}, anagrams: {}'.format(time_elapsed, len(anagrams)))
+
+if __name__ == '__main__':
+    run()
+
+
+
+
diff --git a/problemsc/harddrive.py b/problemsc/harddrive.py
new file mode 100644
index 0000000..15b381c
--- /dev/null
+++ b/problemsc/harddrive.py
@@ -0,0 +1,22 @@
+__author__ = 'Антон Брагин'
+
+def get_number_of_rounds(blocks):
+    block_coords = {}
+    for coord, block in enumerate(blocks):
+        block_coords[block] = coord
+    head = -1
+    rounds = 0
+    for i in range(len(blocks)):
+        move = block_coords[i + 1]
+        if move < head:
+            rounds += 1
+        head = move
+    return rounds
+
+if __name__ == '__main__':
+    with open('harddrive.in') as f:
+        n = int(f.readline())
+        blocks = [int(x) for x in f.readline().split()]
+    rounds = get_number_of_rounds(blocks)
+    with open('harddrive.out', 'w') as f:
+        f.write(str(rounds))
diff --git a/problemsc/maxpiece.py b/problemsc/maxpiece.py
new file mode 100644
index 0000000..b5ec5c5
--- /dev/null
+++ b/problemsc/maxpiece.py
@@ -0,0 +1,44 @@
+__author__ = 'Антон Брагин'
+
+import itertools
+
+def get_max_square_chop(xchops, ychops):
+    xchops.sort(reverse=True)
+    ychops.sort(reverse=True)
+    return min(xchops[0], ychops[0])
+
+if __name__ == '__main__':
+    with open('maxpiece.in') as f:
+        n, m, k = [int(x) for x in f.readline().split()]
+        xcuts = []
+        ycuts = []
+        for _ in range(k):
+            axis, coord = [int(x) for x in f.readline().split()]
+            if axis == 0:
+                xcuts.append(coord)
+            else:
+                ycuts.append(coord)
+    #Sort x and y chops
+    xcuts.append(0)
+    ycuts.append(0)
+    xcuts.append(n)
+    ycuts.append(m)
+    xcuts.sort()
+    ycuts.sort()
+
+    xchops = []
+    ychops = []
+    for i in range(len(xcuts) - 1):
+        xchops.append(xcuts[i + 1] - xcuts[i])
+    for j in range(len(ycuts) - 1):
+        ychops.append(ycuts[j + 1] - ycuts[j])
+
+    max_square = get_max_square_chop(xchops, ychops)
+
+    with open('maxpiece.out', 'w') as f:
+        f.write(str(max_square))
+
+
+
+
+
diff --git a/problemsc/olympic.py b/problemsc/olympic.py
new file mode 100644
index 0000000..447dead
--- /dev/null
+++ b/problemsc/olympic.py
@@ -0,0 +1,31 @@
+__author__ = 'Антон Брагин'
+
+from operator import itemgetter
+
+def get_medals(stand):
+    competitors = {}
+    for competition in stand:
+        for i, competitor in enumerate(competition):
+            if competitor not in competitors:
+                competitors[competitor] = [0, 0, 0, competitor]
+            competitors[competitor][i] += 1
+    return competitors
+
+def get_winner(stand):
+    competitors = get_medals(stand)
+    #Sort by names
+    winners = sorted(list(competitors.values()), key=itemgetter(3))
+    #Sort by medals in reverse order. Since sorting is stable name order is preserved
+    winners = sorted(winners, key=itemgetter(0, 1, 2), reverse=True)
+    return winners[0][3]
+
+if __name__ == '__main__':
+    with open('olympic.in') as f:
+        n = int(f.readline())
+        stand = []
+        for line in f:
+            stand.append(line.split())
+        winner = get_winner(stand)
+    with open('olympic.out', 'w') as f:
+        f.write(winner)
+
diff --git a/tests/anagrams_profile.py b/tests/anagrams_profile.py
new file mode 100644
index 0000000..4f88abc
--- /dev/null
+++ b/tests/anagrams_profile.py
@@ -0,0 +1,13 @@
+__author__ = 'Антон Брагин'
+
+import cProfile
+from problemsc.anagrams import run
+from sequences import nextperm_fast
+
+def gen_perm():
+    permutation = [x + 1 for x in range(9)]
+    for _ in range(362880):
+        permutation = nextperm_fast.generate_next(permutation)
+
+cProfile.run('run()')
+#cProfile.run('gen_perm()')
\ No newline at end of file
diff --git a/tests/bitoperations.py b/tests/bitoperations.py
new file mode 100644
index 0000000..ec6b618
--- /dev/null
+++ b/tests/bitoperations.py
@@ -0,0 +1,14 @@
+__author__ = 'Антон Брагин'
+
+alphabet = {'a', 'b', 'c', 'd'}
+
+max_mask = 2 ** len(alphabet) - 1
+
+print('Max: {0:b}'.format(max_mask))
+
+mask = max_mask
+
+print('Mask: {0:b}'.format(mask))
+
+while mask > 0:
+    pass

From e47dcd365ae5e38a00b0fe2433251d31df43b1d7 Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Tue, 20 May 2014 00:51:50 +0400
Subject: [PATCH 16/17] Solutions for tasks C-2 and C-3 created and submitted

---
 problemsc/cycle.py | 62 ++++++++++++++++++++++++++++++++++++++++++++++
 problemsc/tower.py | 38 ++++++++++++++++++++++++++++
 2 files changed, 100 insertions(+)
 create mode 100644 problemsc/cycle.py
 create mode 100644 problemsc/tower.py

diff --git a/problemsc/cycle.py b/problemsc/cycle.py
new file mode 100644
index 0000000..19f38b0
--- /dev/null
+++ b/problemsc/cycle.py
@@ -0,0 +1,62 @@
+__author__ = 'Антон Брагин'
+
+import sys
+import threading
+
+sys.setrecursionlimit(1000000)
+
+def find_cycle(graph):
+    #State codes: 0 - non-visited, 1 - visiting, 2 - closed
+    state = [0] * len(graph)
+    parent = [None] * len(graph)
+    for i in range(len(graph)):
+        if state[i] == 0:
+            cycle = dfs(graph, state, parent, i)
+            if cycle:
+                return cycle
+    return None
+
+def dfs(graph, state, parent, index):
+    state[index] = 1
+    for child in graph[index]:
+        parent[child] = index
+        if state[child] == 0:
+            cycle = dfs(graph, state, parent, child)
+            if cycle is not None:
+                return cycle
+        if state[child] == 1:
+            #Cycle found
+            return get_cycle(parent, child, child)
+    state[index] = 2
+    return None
+
+def get_cycle(parent, start, end):
+    cycle = [end]
+    while parent[end] != start:
+        previous = parent[end]
+        cycle.append(previous)
+        end = previous
+    return cycle
+
+def main():
+    with open('cycle.in') as f:
+        n, m = [int(x) for x in f.readline().split()]
+        graph = [[] for _ in range(n)]
+        for _ in range(m):
+            fr, to = [int(x) for x in f.readline().split()]
+            graph[fr - 1].append(to - 1)
+    cycle = find_cycle(graph)
+    with open('cycle.out', 'w') as f:
+        if cycle:
+            cycle.reverse()
+            cycle = ' '.join([str(x + 1) for x in cycle])
+            f.write('YES\n')
+            f.write(cycle)
+        else:
+            f.write('NO\n')
+
+if __name__ == '__main__':
+    threading.stack_size(2 ** 26) #64 MB stack size
+    sys.setrecursionlimit(2 ** 20) #recursion depth
+    thread = threading.Thread(target=main)
+    thread.start()
diff --git a/problemsc/tower.py b/problemsc/tower.py
new file mode 100644
index 0000000..473f2cc
--- /dev/null
+++ b/problemsc/tower.py
@@ -0,0 +1,38 @@
+__author__ = 'Антон Брагин'
+
+def get_component(people, languages):
+    #Creating hybrid bipartite graph
+    graph = []
+    for language in languages:
+        graph.append([50 + x for x in language])
+    graph += people
+    visited = [0] * len(graph)
+    dfs(graph, visited, 50)
+    #Account for visited people nodes only
+    return sum(visited[50:])
+
+def dfs(graph, visited, node):
+    visited[node] = 1
+    for next in graph[node]:
+        if not visited[next]:
+            dfs(graph, visited, next)
+
+if __name__ == '__main__':
+    with open('tower.in') as f:
+        n = int(f.readline())
+        language_knowledge = []
+        for line in f:
+            language_knowledge.append([int(x) for x in line.split()])
+    people = []
+    languages = [[] for _ in range(50)]
+    #Create bipartite graph of peoples and languages
+    for man, lk in enumerate(language_knowledge):
+        man_languages = []
+        #Create people->language and language->people mapping
+        for i in range(1, len(lk)):
+            man_languages.append(lk[i] - 1)
+            languages[lk[i] - 1].append(man)
+        people.append(man_languages)
+    people_acknowledged = get_component(people, languages)
+    with open('tower.out', 'w') as f:
+        f.write(str(people_acknowledged))

From cf4cb9017aa447f3640f022521e8c1ed369ba06e Mon Sep 17 00:00:00 2001
From: Anton Bragin <a.g.bragin@gmail.com>
Date: Wed, 4 Jun 2014 00:23:56 +0400
Subject: [PATCH 17/17] Regression notebook and code added.

---
 ml/Regression.py    | 202 ++++++++++++++++++++
 ml/regression.ipynb | 445 ++++++++++++++++++++++++++++++++++++++++++++
 2 files changed, 647 insertions(+)
 create mode 100644 ml/Regression.py
 create mode 100644 ml/regression.ipynb

diff --git a/ml/Regression.py b/ml/Regression.py
new file mode 100644
index 0000000..2aea1dc
--- /dev/null
+++ b/ml/Regression.py
@@ -0,0 +1,202 @@
+
+# coding: utf-8
+
+## Homework 3 (Linear regression)
+
+#### Author: Anton Bragin
+
+#### Generate data
+
+# Generate and plot 1000 (x, y) points that are on the same line
+
+# In[111]:
+
+#Enable graph embedding into notebook pages
+get_ipython().magic(u'matplotlib inline')
+
+
+# In[112]:
+
+import numpy
+import scipy
+from matplotlib import pyplot
+
+orig_model = [7, 25]
+
+x = numpy.linspace(0, 100, 1000)
+y = orig_model[0] * x + orig_model[1]
+
+pyplot.plot(x, y, '.')
+pyplot.title('Randomly generated points')
+pyplot.xlabel('x')
+pyplot.ylabel('y')
+pyplot.show()
+
+
+# Create noise with normal distribution
+
+# In[113]:
+
+noise = numpy.random.normal(0, 75, len(y))
+pyplot.hist(noise, bins=100)
+pyplot.title('Random noise with normal distribution')
+pyplot.show()
+
+
+# Add noise to y-coordinates and plot (x, y) points
+
+# In[114]:
+
+y_noise = y + noise
+pyplot.plot(x, y_noise, '.')
+pyplot.xlabel('x')
+pyplot.ylabel('y')
+pyplot.title('Original data with noise added to y values')
+pyplot.show()
+
+
+# Splitting data into two cohorts: for education and testing
+
+# In[115]:
+
+#Do random sampling
+samples = [_ for _ in range(len(y))]
+numpy.random.shuffle(samples)
+
+edu_size = 0.7 * len(y)
+test_size = 1000 - edu_size
+
+x_edu = []
+y_edu = []
+x_test = []
+y_test = []
+
+for i in range(len(samples)):
+    if i < edu_size:
+        x_edu.append(x[samples[i]])
+        y_edu.append(y_noise[samples[i]])
+    else:
+        x_test.append(x[samples[i]])
+        y_test.append(y_noise[samples[i]])
+#Plot data for education and data for testing
+pyplot.plot(x_edu, y_edu, '.b')
+pyplot.plot(x_test, y_test, '.r')
+pyplot.title('Educational and test data')
+pyplot.xlabel('x')
+pyplot.ylabel('y')
+pyplot.show()
+
+
+#### Do linear regression for the education cohort
+
+# In[116]:
+
+model = numpy.polyfit(x_edu, y_edu, 1)
+print('Parameters for linear model are: b1 = {}, b0 = {}'.format(model[0], model[1]))
+
+
+# Plot education cohort and linear fit
+
+# In[117]:
+
+pyplot.plot(x_edu, y_edu, '.b')
+pyplot.plot(x_edu, numpy.polyval(model, x_edu), '-r')
+pyplot.title('Linear fit of educational data')
+pyplot.xlabel('x')
+pyplot.ylabel('y')
+pyplot.show()
+
+
+#### Calculate RSS (residual sum of squares) for educational and testing cohorts
+
+# In[118]:
+
+from scipy.stats import pearsonr
+
+def rss(x, y, model):
+    y_model = numpy.polyval(model, x)
+    rss = 0
+    for y_d, y_m in zip(y, y_model):
+        rss += (y_d - y_m) ** 2
+    return rss
+
+def r_square(x, y, model):
+    ss_res = rss(x, y, model)
+    ss_tot = 0
+    y_mean = numpy.mean(y)
+    for y_d in y:
+        ss_tot += (y_d - y_mean) ** 2
+    return 1 - ss_res/ss_tot
+    
+print('RSS for education data: {}'.format(rss(x_edu, y_edu, model)))
+print('RSS for testing data: {}'.format(rss(x_test, y_test, model)))
+print('R2 for the whole dataset is: {}'.format(r_square(x, y_noise, model)))
+print('Pearson correlation coeficient is: {}'.format(*pearsonr(x, y_noise)))
+
+
+#### Check linearity hypotesis
+
+# The null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.
+# Set statistical significance level to 0.01 and calculate sum of squares and p-value. The hypotesis is that noise has normal distribution.
+
+# In[119]:
+
+stat_significance = 0.99
+slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(x,y_noise)
+print('R-value is: {}'.format(r_value))
+print('t-statistic is: {}'.format(std_err / model[0]))
+print('P-value is: {0:0.2e}'.format(p_value))
+
+
+#### Plot graphs from the task
+
+# In[120]:
+
+pyplot.plot(x_edu, y_edu, '.b')
+pyplot.plot(x_test, y_test, '.r')
+pyplot.plot(x_edu, numpy.polyval(model, x_edu), '-k')
+pyplot.plot(x, numpy.polyval(orig_model, x), '-c')
+#Add legend
+pyplot.xlabel('x')
+pyplot.ylabel('y')
+e_legend = pyplot.Rectangle((0, 0), 1, 1, fc="b")
+t_legend = pyplot.Rectangle((0, 0), 1, 1, fc="r")
+r_legend = pyplot.Rectangle((0, 0), 1, 1, fc="k")
+i_legend = pyplot.Rectangle((0, 0), 1, 1, fc="c")
+pyplot.legend([e_legend, t_legend, r_legend, i_legend], 
+              ['Education cohort', 'Test cohort', 'Regression model', 'Original model'], loc=4)
+pyplot.show()
+
+
+# In[121]:
+
+#Calculate mean sum of squares for the whole dataset
+mss = pow(rss(x, y_noise, model) / len(x), 0.5)
+
+y_model = numpy.polyval(model, x)
+
+x_in_mss = []
+y_in_mss = []
+x_out_mss = []
+y_out_mss = []
+
+for i in range(len(x)):
+    if abs(y_model[i] - y_noise[i]) <= mss:
+        x_in_mss.append(x[i])
+        y_in_mss.append(y_noise[i])
+    else:
+        x_out_mss.append(x[i])
+        y_out_mss.append(y_noise[i])
+
+pyplot.plot(x_in_mss, y_in_mss, '.b')
+pyplot.plot(x_out_mss, y_out_mss, '.r')
+pyplot.plot(x_edu, numpy.polyval(model, x_edu), '-k')
+#Add legend
+pyplot.xlabel('x')
+pyplot.ylabel('y')
+in_legend = pyplot.Rectangle((0, 0), 1, 1, fc="b")
+out_legend = pyplot.Rectangle((0, 0), 1, 1, fc="r")
+pyplot.legend([in_legend, out_legend], 
+              ['Points within MSS', 'Points outside of MSS'], loc=4)
+pyplot.show()
+
diff --git a/ml/regression.ipynb b/ml/regression.ipynb
new file mode 100644
index 0000000..11026b8
--- /dev/null
+++ b/ml/regression.ipynb
@@ -0,0 +1,445 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:f8adacd4a2cf69fd856fbbc9868bc14613e588a6ae6ac209a24202972148c47c"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Homework 3 (Linear regression)"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Author: Anton Bragin"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Generate data"
+     ]
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Generate and plot 1000 (x, y) points that are on the same line"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#Enable graph embedding into notebook pages\n",
+      "%matplotlib inline"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [],
+     "prompt_number": 111
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import numpy\n",
+      "import scipy\n",
+      "from matplotlib import pyplot\n",
+      "\n",
+      "orig_model = [7, 25]\n",
+      "\n",
+      "x = numpy.linspace(0, 100, 1000)\n",
+      "y = orig_model[0] * x + orig_model[1]\n",
+      "\n",
+      "pyplot.plot(x, y, '.')\n",
+      "pyplot.title('Randomly generated points')\n",
+      "pyplot.xlabel('x')\n",
+      "pyplot.ylabel('y')\n",
+      "pyplot.show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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XIyUlBZmZmWhtbZXPKS4uRnJyMjQaDaqqqtwdEhFR0OitnCRJwHvvAQ4HMHHiwH+WJAay\no3Ufurq6oFQqUV1djQ0bNiAuLg6rVq3CmjVr0NLSAqPRCLPZjPz8fHz44YewWq2YO3cuampqEBZ2\nOXcNdONtIqJAt3QpsGUL0Nnp/PisWUBFxaWeRbeBvnd6dAxi7969SEpKQmJiIioqKmAwGAAABoMB\nO3fuBACUl5cjLy8PERERUKvVSEpKQnV1tSfDIiIKKFFRwKZNzpNDTAxQXw+8+27P5OAOHh2DKC0t\nRV5eHgDAZrNBoVAAABQKBWw2GwCgsbERGRkZ8jkqlQpWq/WatgoLC+WvdToddDqd5wInIvIDGo3r\nAWhJAg4cAL7//cuPmUwmmEwmt/18jyUIh8OBN998E2vWrLnmmCRJkHpZxeHs2JUJgogomPWWGADn\n5STg2g/PRUVFA4rDYyWmPXv24Pbbb8fIkSMBXOo1NDc3AwCampoQHx8PAFAqlbBYLPJ5DQ0NUCqV\nngqLiMhv9TVt1ZPlJGc8liC2b98ul5cAIDs7GyUlJQCAkpIS5OTkyI+XlpbC4XCgrq4OtbW1SE9P\n91RYRER+pzsxuBpn6J6ddPo0MHas9+LyyCyms2fPYuzYsairq0NkZCQAwG63Izc3F1999RXUajV2\n7NiBqO9S4OrVq7FlyxaEh4dj3bp1yMrK6hkkZzERUZDq6/YYs2cDf/7zjfUYBvre6dFpru7CBEFE\nwaavcYaBJIZufj3NlYiIeuprnGHWLKClBXjnHe+MM/SGt9ogIvKS3spJMTHA0aPeHWPoC3sQREQe\n1p/bY3h7ALo/mCCIiDykP+Uku73nYjd/whITEZGb9XXfJH8sJznDBEFE5Ea9jTM4uz2GP2OJiYjI\nDfra1c3fy0nOMEEQEQ1AX+MMcXHevT2GO7HERER0gwJt2ur1Yg+CiOg6Beq01evFBEFE1E+BPm31\nerHERETUD8FeTnKGPQgiol6ESjnJGSYIIiInuhNDqJSTnGGCICK6gr/t6uZLHIMgIvpOMK2Cdgf2\nIIgo5PW1Cnr27OAvJznDBEFEISuQNu/xBZaYiCgkheK01evlkR5Ea2srFi5ciPHjx0Or1eLw4cOw\n2+3Q6/VISUlBZmYmWltb5ecXFxcjOTkZGo0GVVVVngiJiAhAaE9bvV4eSRArVqzAvffeixMnTuCT\nTz6BRqOB0WiEXq9HTU0N5syZA6PRCAAwm80oKyuD2WxGZWUlli1bhq6uLk+ERUQhLNRWQbuD20tM\n33zzDQ4cOICSkpJLPyA8HCNGjEBFRQX2798PADAYDNDpdDAajSgvL0deXh4iIiKgVquRlJSE6upq\nZGRk9Gi3sLBQ/lqn00Gn07k7dCIKQsGyeU9/mEwmmEwmt7Xn9gRRV1eHkSNHYvHixfjb3/6G22+/\nHWvXroXNZoNCoQAAKBQK2Gw2AEBjY2OPZKBSqWC1Wq9p98oEQUTUH6E2bfXqD89FRUUDas/tJaaL\nFy/i6NGjWLZsGY4ePYphw4bJ5aRukiRBkiSXbfR2jIioL8G4eY8vuD1BqFQqqFQq3HHHHQCAhQsX\n4ujRo0hISEBzczMAoKmpCfHx8QAApVIJi8Uin9/Q0AClUunusIgoBATz5j2+4PYEkZCQgMTERNTU\n1AAA9u7di9TUVMybN08elygpKUFOTg4AIDs7G6WlpXA4HKirq0NtbS3S09PdHRYRBbmoKGDTJudj\nDd23x/j66+AYa/AWj6yD2LBhA3784x/D4XBg3Lhx2Lp1Kzo7O5Gbm4vNmzdDrVZjx44dAACtVovc\n3FxotVqEh4dj48aNLDERUb9pNK57DME4zuBNkhBC+DqIvkiShAAIk4i8qK/ZSbNmARUVoV1KGuh7\nJ1dSE1HA4Spo7+C9mIgoYHAVtHcxQRCR3+PmPb7BBEFEfoub9/gWxyCIyC+F2ipof8QeBBH5lago\nbt7jL5ggiMgv9Of2GKG8eY8vMEEQkU/x9hj+i2MQROQzXM/g39iDICKv43qGwMAEQURew13dAgtL\nTETkcaG0q1swYYIgIo/ieobAxRITEXkEd3ULfEwQRORWnLYaPFhiIiK34bTV4MIeBBENGKetBicm\nCCK6YZy2Gtw8kiDUajUmTZqEtLQ0pKenAwDsdjv0ej1SUlKQmZmJ1tZW+fnFxcVITk6GRqNBVVWV\nJ0IiIjeLigI2bXI+dZW34Q4OHkkQkiTBZDLh2LFjqK6uBgAYjUbo9XrU1NRgzpw5MBqNAACz2Yyy\nsjKYzWZUVlZi2bJl6Orq8kRYROQGvd1tleWk4OKxEtPVG2VXVFTAYDAAAAwGA3bu3AkAKC8vR15e\nHiIiIqBWq5GUlCQnFSLyH5y2Gno8MotJkiTMnTsXgwYNwiOPPIKHH34YNpsNCoUCAKBQKGCz2QAA\njY2NyMjIkM9VqVSwWq3XtFlYWCh/rdPpoNPpPBE6EV2Fq6ADh8lkgslkclt7HkkQ77//PkaNGoWv\nv/4aer0eGo2mx3FJkiBJksvznR27MkEQkXf0Nm01IgL46CNg4kTvxkSuXf3huaioaEDteaTENGrU\nKADAyJEjMX/+fFRXV0OhUKC5uRkA0NTUhPj4eACAUqmExWKRz21oaIBSqfREWETUT/2ZtupwMDkE\nO7cniHPnzuHMmTMAgLNnz6KqqgoTJ05EdnY2SkpKAAAlJSXIyckBAGRnZ6O0tBQOhwN1dXWora2V\nZz4RkXdx2ipdye0lJpvNhvnz5wMALl68iB//+MfIzMzEtGnTkJubi82bN0OtVmPHjh0AAK1Wi9zc\nXGi1WoSHh2Pjxo29lp+IyDO4CpquJomrpxv5IUmSrpkVRUTuodG47jHwbquBbaDvnVxJTRSiWE6i\nvvBmfUQhhtNWqb+YIIhCCDfvoevBEhNRCOAqaLoRTBBEQYyb99BAsMREFKQ4bZUGij0IoiDDzXvI\nXZggiIIEp62Su7HERBQEWE4iT2APgiiAsZxEnsQEQRSAuhMDy0nkSUwQRAGkr3EG7gVN7sQxCKIA\nwVXQ5G3sQRD5ub5WQc+ezXISeQZ7EER+SqMBamoAV3drnjULqKhgKYk8hz0IIj9z5TiDs+TAcQby\nFvYgiPwIxxnIn7AHQeQHehtnGDQIyMzkOAN5H3sQRD7U23afAMcZyLc81oPo7OxEWloa5s2bBwCw\n2+3Q6/VISUlBZmYmWltb5ecWFxcjOTkZGo0GVVVVngqJyG9wPQMFAo8liHXr1kGr1UKSJACA0WiE\nXq9HTU0N5syZA6PRCAAwm80oKyuD2WxGZWUlli1bhq6uLk+FReRzUVHApk3Ot/zk7THIn7hMEOvX\nr0dLS8sNNdrQ0IDdu3fjZz/7GcR30zAqKipgMBgAAAaDATt37gQAlJeXIy8vDxEREVCr1UhKSkJ1\ndfUN/Vwif8b1DBRoXI5B2Gw23HHHHZg6dSoeeughZGVlyb2BvjzxxBN44YUX8O233/ZoT6FQAAAU\nCgVsNhsAoLGxERkZGfLzVCoVrFbrNW0WFhbKX+t0Ouh0un7FQuRrS5cCW7Y47zEAHGcg9zGZTDCZ\nTG5rz2WCeP755/Gb3/wGVVVVeOWVV7B8+XLk5uZiyZIlGDdunMsGd+3ahfj4eKSlpbkMVJKkXpON\ns2NXJgiiQMHbcJM3Xf3huaioaEDt9ToGERYWhoSEBCgUCgwaNAgtLS1YuHAhVq5c6fKcDz74ABUV\nFbjllluQl5eHffv2oaCgAAqFAs3NzQCApqYmxMfHAwCUSiUsFot8fkNDA5RK5YBeFJGv8TbcFBSE\nC2vXrhVTp04Ver1elJWVCYfDIYQQorOzU9x6662uTuvBZDKJ++67TwghxMqVK4XRaBRCCFFcXCye\neuopIYQQx48fF5MnTxYXLlwQX3zxhbj11ltFV1dXj3Z6CZPIrzz8sBCDBglxaQ30tf9mzRKipcXX\nUVKoGOh7p8sSk91ux1/+8heMveojTlhYGN58881+J6DuctHTTz+N3NxcbN68GWq1Gjt27AAAaLVa\n5ObmQqvVIjw8HBs3buz3WAeRP2E5iYKN9F2W8WuSJCEAwqQQxdtjkL8a6Hsnb7VBdIP6mrbKXd0o\n0DFBEF0nroKmUMF7MRFdh97KSRERwEcfARMnejcmIk9hD4KoH/ozbdXhYHKg4MIEQdSLvspJHGeg\nYMYSE5ELnLZKoY49CKKrcBU00SVMEETfYTmJqCeWmCjk9XW3VZaTKFQxQVBI4ypoItdYYqKQxFXQ\nRH1jgqCQ0tc4Q1wcV0ETdWOJiUIGp60SXR/2ICjocdoq0Y1hgqCgxWmrRAPDEhMFJZaTiAaOPQgK\nKlFRLCcRuQsTBAUFTlslcj8mCApo3LyHyHPcniDOnz+PO++8E1OmTIFWq8Uvf/lLAIDdboder0dK\nSgoyMzPR2toqn1NcXIzk5GRoNBpUVVW5OyQKUlFRwKZNzm+REREBfPIJy0lEAyGJgexo7cK5c+cw\ndOhQXLx4ETNnzsSLL76IiooKxMXFYdWqVVizZg1aWlpgNBphNpuRn5+PDz/8EFarFXPnzkVNTQ3C\nwi7nroFuvE3BRaNx3WPg7TGILhvoe6dHSkxDhw4FADgcDnR2diI6OhoVFRUwGAwAAIPBgJ07dwIA\nysvLkZeXh4iICKjVaiQlJaG6utoTYVGA47RVIu/yyDTXrq4uTJ06FSdPnsS//Mu/IDU1FTabDQqF\nAgCgUChgs9kAAI2NjcjIyJDPValUsFqt17RZWFgof63T6aDT6TwROvmhpUuBbduA9nbnxzltlegS\nk8kEk8nktvY8kiDCwsLw8ccf45tvvkFWVhb++te/9jguSRIkSXJ5vrNjVyYICh282ypR/1394bmo\nqGhA7Xl0FtOIESPwT//0T/joo4+gUCjQ3NwMAGhqakJ8fDwAQKlUwmKxyOc0NDRAqVR6MiwKAJy2\nSuR7bk8Qp06dkmcotbe34+2330ZaWhqys7NRUlICACgpKUFOTg4AIDs7G6WlpXA4HKirq0NtbS3S\n09PdHRYFiO7E4GqcIT6e01aJvMXtJaampiYYDAZ0dXWhq6sLBQUFmDNnDtLS0pCbm4vNmzdDrVZj\nx44dAACtVovc3FxotVqEh4dj48aNvZafKDhxVzci/+ORaa7uxmmuwY3jDESe4ZfTXIn6o69xhtmz\nOc5A5EtMEOR1/VnP0NICvPMOxxmIfIm3+yav4m24iQIHexDkFdzVjSjwMEGQR/H2GESBiyUm8hiW\nk4gCG3sQ5Hbc1Y0oODBBkNvw9hhEwYUJggaMu7oRBSeOQdCA9DbOEBEBfPQRMHGid2MiIvdgD4Ju\nSH+mrTocTA5EgYwJgq4Lp60ShQ6WmKjfOG2VKLSwB0F94ipootDEBEEu9bV5D8tJRMGNCYKuwWmr\nRARwDIKuws17iKgbexAEgJv3ENG1mCBCHDfvISJX3J4gLBYL7r77bqSmpmLChAlYv349AMBut0Ov\n1yMlJQWZmZlobW2VzykuLkZycjI0Gg2qqqrcHRK5EBUFbNoEdHZee4zjDEQkiYHsaO1Ec3Mzmpub\nMWXKFLS1teH222/Hzp07sXXrVsTFxWHVqlVYs2YNWlpaYDQaYTabkZ+fjw8//BBWqxVz585FTU0N\nwsIu566BbrxNPWk0rnsMHGcgCh4Dfe90ew8iISEBU6ZMAQDcfPPNGD9+PKxWKyoqKmAwGAAABoMB\nO3fuBACUl5cjLy8PERERUKvVSEpKQnV1tbvDInAVNBFdH4/OYqqvr8exY8dw5513wmazQaFQAAAU\nCgVsNhsAoLGxERkZGfI5KpUKVqv1mrYKCwvlr3U6HXQ6nSdDDzpcBU0U/EwmE0wmk9va81iCaGtr\nw4IFC7Bu3TpERkb2OCZJEiRJcnmus2NXJgjqP05bJQodV394LioqGlB7HpnF1NHRgQULFqCgoAA5\nOTkALvUampubAQBNTU2Ij48HACiVSlgsFvnchoYGKJVKT4QVUrh5DxENlNsThBACS5YsgVarxeOP\nPy4/np2djZKSEgBASUmJnDiys7NRWloKh8OBuro61NbWIj093d1hhQyugiYid3H7LKb33nsPd911\nFyZNmiSXioqLi5Geno7c3Fx89dVXUKvV2LFjB6K+e4davXo1tmzZgvDwcKxbtw5ZWVk9g+Qspn7h\n5j1EdKVPvbNfAAAJuUlEQVSBvne6PUF4AhNE7zhtlYic8btpruQ9nLZKRJ7Em/UFKE5bJSJPYw8i\nwHDzHiLyFiaIAMHNe4jI21hi8nO9DUADLCcRkeewB+Gn+hqAHjwY+OQTlpOIyHPYg/BDvD0GEfkD\n9iD8CHd1IyJ/wgThB7irGxH5I5aYfIzrGYjIX7EH4SNcz0BE/o4Jwst4ewwiChQsMXkRy0lEFEjY\ng/CCqCiWk4go8DBBeBB3dSOiQMYE4QHc1Y2IggHHINyMu7oRUbBgD8JN+jNt1eFgciCiwMEEMUCc\ntkpEwcrtCeKhhx6CQqHAxCs+Ktvtduj1eqSkpCAzMxOtra3yseLiYiQnJ0Oj0aCqqsrd4XhUVBSw\naRPQ2XntMY4zEFGgc3uCWLx4MSorK3s8ZjQaodfrUVNTgzlz5sBoNAIAzGYzysrKYDabUVlZiWXL\nlqGrq8vdIbkdV0ETUShwe4KYNWsWoqOjezxWUVEBg8EAADAYDNi5cycAoLy8HHl5eYiIiIBarUZS\nUhKqq6vdHZLbcFc3IgolXpnFZLPZoFAoAAAKhQI2mw0A0NjYiIyMDPl5KpUKVqvVaRuFhYXy1zqd\nDjqdzmPxXm3pUmDLFuelJICroInIP5hMJphMJre15/VprpIkQZKkXo87c2WC8CZu3kNEgeLqD89F\nRUUDas8rs5gUCgWam5sBAE1NTYiPjwcAKJVKWCwW+XkNDQ1QKpXeCKlP3LyHiEKdVxJEdnY2SkpK\nAAAlJSXIycmRHy8tLYXD4UBdXR1qa2uRnp7ujZBc4uY9RESXuL3ElJeXh/379+PUqVNITEzEc889\nh6effhq5ubnYvHkz1Go1duzYAQDQarXIzc2FVqtFeHg4Nm7c2Gv5ydN4t1UiosskIYTwdRB9kSQJ\nngxTo3HdY+A4AxEFqoG+d4b0SmqugiYici1kb9bHchIRUe9CrgfBzXuIiPonZBIEN+8hIro+QZ8g\nuHkPEdGNCeoxCG7eQ0R044KyB8HNe4iIBi6oEgSnrRIRuU/QlJg4bZWIyL0CvgfBzXuIiDwjYBME\ny0lERJ4VcCWm3u6bBLCcRETkLgHTg+irx8ByEhGRewXM3VwB12HOng38+c9c6EZEdKWB3s014EpM\nV2JiICLynIBMELNmARUVTAxERJ4UUAkiLg44coRjDERE3hAwCaK+nomBiMibAmYWE5PDJSaTydch\n+A1ei8t4LS7jtXAfv0kQlZWV0Gg0SE5Oxpo1a3wdjt/iH/9lvBaX8VpcxmvhPn6RIDo7O7F8+XJU\nVlbCbDZj+/btOHHihK/DIiIKaX6RIKqrq5GUlAS1Wo2IiAg88MADKC8v93VYREQhzS8Wyv3pT3/C\n//7v/2LTpk0AgG3btuHw4cPYsGEDgO6FckREdL0CfqFcXwnAD3IYEVHI8YsSk1KphMVikb+3WCxQ\nqVQ+jIiIiPwiQUybNg21tbWor6+Hw+FAWVkZsrOzfR0WEVFI84sSU3h4OP7zP/8TWVlZ6OzsxJIl\nSzB+/Hhfh0VEFNL8ogcBAPfccw8+//xz/N///R9++ctfyo+H8voIi8WCu+++G6mpqZgwYQLWr18P\nALDb7dDr9UhJSUFmZiZaW1t9HKn3dHZ2Ii0tDfPmzQMQuteitbUVCxcuxPjx46HVanH48OGQvRbF\nxcVITU3FxIkTkZ+fjwsXLoTMtXjooYegUCgwceJE+bHeXntxcTGSk5Oh0WhQVVXVZ/t+kyCcCfX1\nEREREfiP//gPHD9+HIcOHcLLL7+MEydOwGg0Qq/Xo6amBnPmzIHRaPR1qF6zbt06aLVaeWJDqF6L\nFStW4N5778WJEyfwySefQKPRhOS1qK+vx6ZNm3D06FH8/e9/R2dnJ0pLS0PmWixevBiVlZU9HnP1\n2s1mM8rKymA2m1FZWYlly5ahq6ur9x8g/NgHH3wgsrKy5O+Li4tFcXGxDyPyrR/96Efi7bffFrfd\ndptobm4WQgjR1NQkbrvtNh9H5h0Wi0XMmTNH7Nu3T9x3331CCBGS16K1tVXccsst1zweitfi9OnT\nIiUlRdjtdtHR0SHuu+8+UVVVFVLXoq6uTkyYMEH+3tVrX716tTAajfLzsrKyxMGDB3tt2697EFar\nFYmJifL3KpUKVqvVhxH5Tn19PY4dO4Y777wTNpsNCoUCAKBQKGCz2XwcnXc88cQTeOGFFxAWdvnP\nNhSvRV1dHUaOHInFixdj6tSpePjhh3H27NmQvBYxMTF48sknMWbMGIwePRpRUVHQ6/UheS26uXrt\njY2NPWaH9uf91K8TBBfIXdLW1oYFCxZg3bp1iIyM7HFMkqSQuE67du1CfHw80tLSXK6LCZVrcfHi\nRRw9ehTLli3D0aNHMWzYsGtKKKFyLU6ePIm1a9eivr4ejY2NaGtrw7Zt23o8J1SuhTN9vfa+rotf\nJwiujwA6OjqwYMECFBQUICcnB8ClTwXNzc0AgKamJsTHx/syRK/44IMPUFFRgVtuuQV5eXnYt28f\nCgoKQvJaqFQqqFQq3HHHHQCAhQsX4ujRo0hISAi5a3HkyBHMmDEDsbGxCA8Px/3334+DBw+G5LXo\n5ur/xNXvpw0NDVAqlb225dcJItTXRwghsGTJEmi1Wjz++OPy49nZ2SgpKQEAlJSUyIkjmK1evRoW\niwV1dXUoLS3F7Nmz8dprr4XktUhISEBiYiJqamoAAHv37kVqairmzZsXctdCo9Hg0KFDaG9vhxAC\ne/fuhVarDclr0c3V/4ns7GyUlpbC4XCgrq4OtbW1SE9P770xdw+YuNvu3btFSkqKGDdunFi9erWv\nw/GqAwcOCEmSxOTJk8WUKVPElClTxJ49e8Tp06fFnDlzRHJystDr9aKlpcXXoXqVyWQS8+bNE0KI\nkL0WH3/8sZg2bZqYNGmSmD9/vmhtbQ3Za7FmzRqh1WrFhAkTxE9+8hPhcDhC5lo88MADYtSoUSIi\nIkKoVCqxZcuWXl/7888/L8aNGyduu+02UVlZ2Wf7fnGzPiIi8j9+XWIiIiLfYYIgIiKnmCCIiMgp\nJggiInKKCYLoBnz44YeYPHkyLly4gLNnz2LChAkwm82+DovIrTiLiegGPfPMMzh//jza29uRmJiI\np556ytchEbkVEwTRDero6MC0adMwZMgQHDx4MGRv50DBiyUmoht06tQpnD17Fm1tbWhvb/d1OERu\nxx4E0Q3Kzs5Gfn4+vvjiCzQ1NWHDhg2+DonIrfxiy1GiQPPqq6/ie9/7Hh544AF0dXVhxowZMJlM\n0Ol0vg6NyG3YgyAiIqc4BkFERE4xQRARkVNMEERE5BQTBBEROcUEQURETjFBEBGRU/8PwfIktDb1\nLCAAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x4622910>"
+       ]
+      }
+     ],
+     "prompt_number": 112
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Create noise with normal distribution"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "noise = numpy.random.normal(0, 75, len(y))\n",
+      "pyplot.hist(noise, bins=100)\n",
+      "pyplot.title('Random noise with normal distribution')\n",
+      "pyplot.show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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IRZjUraAzu1o1XheR/Tk3e+yz+6H98OYjKzDnRqH2ftbc+d3j5hh7r1/t8Vov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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3edb550>"
+       ]
+      }
+     ],
+     "prompt_number": 113
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Add noise to y-coordinates and plot (x, y) points"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "y_noise = y + noise\n",
+      "pyplot.plot(x, y_noise, '.')\n",
+      "pyplot.xlabel('x')\n",
+      "pyplot.ylabel('y')\n",
+      "pyplot.title('Original data with noise added to y values')\n",
+      "pyplot.show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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HRXme9PXkiKpLrypA8nXXruL/xESnvcOoqqDeb6N7zs11tgcIG4tdI7vTDZkF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\n29P+9W/nAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x4eea690>"
+       ]
+      }
+     ],
+     "prompt_number": 114
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Splitting data into two cohorts: for education and testing"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#Do random sampling\n",
+      "samples = [_ for _ in range(len(y))]\n",
+      "numpy.random.shuffle(samples)\n",
+      "\n",
+      "edu_size = 0.7 * len(y)\n",
+      "test_size = 1000 - edu_size\n",
+      "\n",
+      "x_edu = []\n",
+      "y_edu = []\n",
+      "x_test = []\n",
+      "y_test = []\n",
+      "\n",
+      "for i in range(len(samples)):\n",
+      "    if i < edu_size:\n",
+      "        x_edu.append(x[samples[i]])\n",
+      "        y_edu.append(y_noise[samples[i]])\n",
+      "    else:\n",
+      "        x_test.append(x[samples[i]])\n",
+      "        y_test.append(y_noise[samples[i]])\n",
+      "#Plot data for education and data for testing\n",
+      "pyplot.plot(x_edu, y_edu, '.b')\n",
+      "pyplot.plot(x_test, y_test, '.r')\n",
+      "pyplot.title('Educational and test data')\n",
+      "pyplot.xlabel('x')\n",
+      "pyplot.ylabel('y')\n",
+      "pyplot.show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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MZ88CLpe8mVWouxoquwf+ObUGM07WA9MS5Is6nfpNCLVYvmlyjNFnUlMjv57g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\nMAwTEiwgDMMwTEiwgDAMwzAh8f8DxqhK0gZn4IwAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x4eef150>"
+       ]
+      }
+     ],
+     "prompt_number": 115
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Do linear regression for the education cohort"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "model = numpy.polyfit(x_edu, y_edu, 1)\n",
+      "print('Parameters for linear model are: b1 = {}, b0 = {}'.format(model[0], model[1]))"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Parameters for linear model are: b1 = 7.02102011604, b0 = 21.9059305895\n"
+       ]
+      }
+     ],
+     "prompt_number": 116
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "Plot education cohort and linear fit"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "pyplot.plot(x_edu, y_edu, '.b')\n",
+      "pyplot.plot(x_edu, numpy.polyval(model, x_edu), '-r')\n",
+      "pyplot.title('Linear fit of educational data')\n",
+      "pyplot.xlabel('x')\n",
+      "pyplot.ylabel('y')\n",
+      "pyplot.show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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WKx9ZaDmWxb27s7KE1+JueEYNrTgdJJblcY2GQ1yss3Qr18pKfdH0pv/EaanY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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x516a890>"
+       ]
+      }
+     ],
+     "prompt_number": 117
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Calculate RSS (residual sum of squares) for educational and testing cohorts"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from scipy.stats import pearsonr\n",
+      "\n",
+      "def rss(x, y, model):\n",
+      "    y_model = numpy.polyval(model, x)\n",
+      "    rss = 0\n",
+      "    for y_d, y_m in zip(y, y_model):\n",
+      "        rss += (y_d - y_m) ** 2\n",
+      "    return rss\n",
+      "\n",
+      "def r_square(x, y, model):\n",
+      "    ss_res = rss(x, y, model)\n",
+      "    ss_tot = 0\n",
+      "    y_mean = numpy.mean(y)\n",
+      "    for y_d in y:\n",
+      "        ss_tot += (y_d - y_mean) ** 2\n",
+      "    return 1 - ss_res/ss_tot\n",
+      "    \n",
+      "print('RSS for education data: {}'.format(rss(x_edu, y_edu, model)))\n",
+      "print('RSS for testing data: {}'.format(rss(x_test, y_test, model)))\n",
+      "print('R2 for the whole dataset is: {}'.format(r_square(x, y_noise, model)))\n",
+      "print('Pearson correlation coeficient is: {}'.format(*pearsonr(x, y_noise)))"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "RSS for education data: 4329147.64386\n",
+        "RSS for testing data: 1790157.83125\n",
+        "R2 for the whole dataset is: 0.872491141907\n",
+        "Pearson correlation coeficient is: 0.93412963609\n"
+       ]
+      }
+     ],
+     "prompt_number": 118
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Check linearity hypotesis"
+     ]
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "The null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.\n",
+      "Set statistical significance level to 0.01 and calculate sum of squares and p-value. The hypotesis is that noise has normal distribution."
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "stat_significance = 0.99\n",
+      "slope, intercept, r_value, p_value, std_err = scipy.stats.linregress(x,y_noise)\n",
+      "print('R-value is: {}'.format(r_value))\n",
+      "print('t-statistic is: {}'.format(std_err / model[0]))\n",
+      "print('P-value is: {0:0.2e}'.format(p_value))"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "R-value is: 0.93412963609\n",
+        "t-statistic is: 0.0121999921208\n",
+        "P-value is: 0.00e+00\n"
+       ]
+      }
+     ],
+     "prompt_number": 119
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Plot graphs from the task"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "pyplot.plot(x_edu, y_edu, '.b')\n",
+      "pyplot.plot(x_test, y_test, '.r')\n",
+      "pyplot.plot(x_edu, numpy.polyval(model, x_edu), '-k')\n",
+      "pyplot.plot(x, numpy.polyval(orig_model, x), '-c')\n",
+      "#Add legend\n",
+      "pyplot.xlabel('x')\n",
+      "pyplot.ylabel('y')\n",
+      "e_legend = pyplot.Rectangle((0, 0), 1, 1, fc=\"b\")\n",
+      "t_legend = pyplot.Rectangle((0, 0), 1, 1, fc=\"r\")\n",
+      "r_legend = pyplot.Rectangle((0, 0), 1, 1, fc=\"k\")\n",
+      "i_legend = pyplot.Rectangle((0, 0), 1, 1, fc=\"c\")\n",
+      "pyplot.legend([e_legend, t_legend, r_legend, i_legend], \n",
+      "              ['Education cohort', 'Test cohort', 'Regression model', 'Original model'], loc=4)\n",
+      "pyplot.show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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FXFDvo4ia+/XTdb9VC5LU7RlFBnmnBLFqXxwE5XhJH0xZmXx9aXNdr8CUmukT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\ntwAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5155050>"
+       ]
+      }
+     ],
+     "prompt_number": 120
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "#Calculate mean sum of squares for the whole dataset\n",
+      "mss = pow(rss(x, y_noise, model) / len(x), 0.5)\n",
+      "\n",
+      "y_model = numpy.polyval(model, x)\n",
+      "\n",
+      "x_in_mss = []\n",
+      "y_in_mss = []\n",
+      "x_out_mss = []\n",
+      "y_out_mss = []\n",
+      "\n",
+      "for i in range(len(x)):\n",
+      "    if abs(y_model[i] - y_noise[i]) <= mss:\n",
+      "        x_in_mss.append(x[i])\n",
+      "        y_in_mss.append(y_noise[i])\n",
+      "    else:\n",
+      "        x_out_mss.append(x[i])\n",
+      "        y_out_mss.append(y_noise[i])\n",
+      "\n",
+      "pyplot.plot(x_in_mss, y_in_mss, '.b')\n",
+      "pyplot.plot(x_out_mss, y_out_mss, '.r')\n",
+      "pyplot.plot(x_edu, numpy.polyval(model, x_edu), '-k')\n",
+      "#Add legend\n",
+      "pyplot.xlabel('x')\n",
+      "pyplot.ylabel('y')\n",
+      "in_legend = pyplot.Rectangle((0, 0), 1, 1, fc=\"b\")\n",
+      "out_legend = pyplot.Rectangle((0, 0), 1, 1, fc=\"r\")\n",
+      "pyplot.legend([in_legend, out_legend], \n",
+      "              ['Points within MSS', 'Points outside of MSS'], loc=4)\n",
+      "pyplot.show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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SsrTV0t3TZBHEu8P8fKI3oUweeyNzKQZ2t8m9e3fXrRt1TXD19k9GhjNlyIgR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\n/vOf07/927/RpUuX6NKlS/SPf/xDs48LFiygm26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+       "text": [
+        "<matplotlib.figure.Figure at 0x51748d0>"
+       ]
+      }
+     ],
+     "prompt_number": 121
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
\ No newline at end of file