From 60e3ca1c9a2e719379e492b5ec50677592776439 Mon Sep 17 00:00:00 2001 From: 0xff-dev Date: Sun, 9 Jun 2024 12:02:54 +0800 Subject: [PATCH] Add solution and test-cases for problem 3068 --- .../README.md | 50 +++++++++++++----- .../Solution.go | 28 +++++++++- .../Solution_test.go | 21 ++++---- .../screenshot-2023-11-10-012513.png | Bin 0 -> 20942 bytes .../screenshot-2023-11-10-012641.png | Bin 0 -> 29899 bytes .../screenshot-2024-01-09-220017.png | Bin 0 -> 15413 bytes 6 files changed, 74 insertions(+), 25 deletions(-) create mode 100644 leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/screenshot-2023-11-10-012513.png create mode 100644 leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/screenshot-2023-11-10-012641.png create mode 100644 leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/screenshot-2024-01-09-220017.png diff --git a/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/README.md b/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/README.md index 72c175ba..2d89e41a 100755 --- a/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/README.md +++ b/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/README.md @@ -1,28 +1,52 @@ # [3068.Find the Maximum Sum of Node Values][title] -> [!WARNING|style:flat] -> This question is temporarily unanswered if you have good ideas. Welcome to [Create Pull Request PR](https://github.com/kylesliu/awesome-golang-algorithm) - ## Description +There exists an **undirected** tree with `n` nodes numbered `0` to `n - 1`. You are given a **0-indexed** 2D integer array `edges` of length `n - 1`, where `edges[i] = [ui, vi]` indicates that there is an edge between nodes ui and vi in the tree. You are also given a **positive** integer `k`, and a **0-indexed** array of **non-negative** integers `nums` of length `n`, where `nums[i]` represents the **value** of the node numbered `i`. + +Alice wants the sum of values of tree nodes to be **maximum**, for which Alice can perform the following operation **any** number of times (**including zero**) on the tree: + +- Choose any edge `[u, v]` connecting the nodes `u` and `v`, and update their values as follows: + + - `nums[u] = nums[u] XOR k` + - `nums[v] = nums[v] XOR k` + +Return the **maximum** possible **sum** of the **values** Alice can achieve by performing the operation **any** number of times. + +**Example 1:** -**Example 1:** +![1](./screenshot-2023-11-10-012513.png) ``` -Input: a = "11", b = "1" -Output: "100" +Input: nums = [1,2,1], k = 3, edges = [[0,1],[0,2]] +Output: 6 +Explanation: Alice can achieve the maximum sum of 6 using a single operation: +- Choose the edge [0,2]. nums[0] and nums[2] become: 1 XOR 3 = 2, and the array nums becomes: [1,2,1] -> [2,2,2]. +The total sum of values is 2 + 2 + 2 = 6. +It can be shown that 6 is the maximum achievable sum of values. ``` -## 题意 -> ... +**Example 2:** -## 题解 +![2](./screenshot-2024-01-09-220017.png) -### 思路1 -> ... -Find the Maximum Sum of Node Values -```go ``` +Input: nums = [2,3], k = 7, edges = [[0,1]] +Output: 9 +Explanation: Alice can achieve the maximum sum of 9 using a single operation: +- Choose the edge [0,1]. nums[0] becomes: 2 XOR 7 = 5 and nums[1] become: 3 XOR 7 = 4, and the array nums becomes: [2,3] -> [5,4]. +The total sum of values is 5 + 4 = 9. +It can be shown that 9 is the maximum achievable sum of values. +``` + +**Example 3:** + +![3](./screenshot-2023-11-10-012641.png) +``` +Input: nums = [7,7,7,7,7,7], k = 3, edges = [[0,1],[0,2],[0,3],[0,4],[0,5]] +Output: 42 +Explanation: The maximum achievable sum is 42 which can be achieved by Alice performing no operations. +``` ## 结语 diff --git a/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution.go b/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution.go index d115ccf5..3e84f2da 100644 --- a/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution.go +++ b/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution.go @@ -1,5 +1,29 @@ package Solution -func Solution(x bool) bool { - return x +import "sort" + +func Solution(nums []int, k int, edges [][]int) int64 { + // 经过测试,[0,1],[1,2] [1,2,1]这组数据也是6,就是说他选的任何节点俩节点,都可以 + // 那么我们关注的就是,最大值从小大排列, 而且题目保证了是一棵树, + // 所以,只需要每次选俩和是正的就ok + + diff := make([]int, len(nums)) + ans := int64(0) + for i, v := range nums { + ans += int64(v) + diff[i] = v ^ k - v + } + + sort.Slice(diff, func(i, j int) bool { + return diff[i] > diff[j] + }) + for i := 0; i < len(diff); i += 2 { + if i+1 == len(diff) { + break + } + if s := int64(diff[i]) + int64(diff[i+1]); s > 0 { + ans += s + } + } + return ans } diff --git a/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution_test.go b/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution_test.go index 14ff50eb..93dbf32b 100644 --- a/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution_test.go +++ b/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/Solution_test.go @@ -10,30 +10,31 @@ func TestSolution(t *testing.T) { // 测试用例 cases := []struct { name string - inputs bool - expect bool + nums []int + edges [][]int + k int + expect int64 }{ - {"TestCase", true, true}, - {"TestCase", true, true}, - {"TestCase", false, false}, + {"TestCase1", []int{1, 2, 1}, [][]int{{0, 1}, {0, 2}}, 3, 6}, + {"TestCase2", []int{2, 3}, [][]int{{0, 1}}, 7, 9}, } // 开始测试 for i, c := range cases { t.Run(c.name+" "+strconv.Itoa(i), func(t *testing.T) { - got := Solution(c.inputs) + got := Solution(c.nums, c.k, c.edges) if !reflect.DeepEqual(got, c.expect) { - t.Fatalf("expected: %v, but got: %v, with inputs: %v", - c.expect, got, c.inputs) + t.Fatalf("expected: %v, but got: %v, with inputs: %v %v %v", + c.expect, got, c.nums, c.edges, c.k) } }) } } -// 压力测试 +// 压力测试 func BenchmarkSolution(b *testing.B) { } -// 使用案列 +// 使用案列 func ExampleSolution() { } diff --git a/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/screenshot-2023-11-10-012513.png b/leetcode/3001-3100/3068.Find-the-Maximum-Sum-of-Node-Values/screenshot-2023-11-10-012513.png new file mode 100644 index 0000000000000000000000000000000000000000..e56db2f0631504c6471156b02f82451a2d82fc70 GIT binary patch literal 20942 zcmeFZBoEk{$*-3 zy&C*=&p}y26s35OVjKK`W+Eadf`U>Oj`QyWI`|pOR#M#o1%<#7`g3o=n93CeMae)) zOa$qwvpE0Rf*wd}{*&BqbRFg24~b|M!RgGizWJZ1g8JSTfRTu6Ee-=5*5f^6z?>ie0NO z`oW~Gx06g9i<9u}MMi%tbCRbZN3-+EutbA$mULZ47++rullq9z#z4}fYKhJ~5wphF zwLHF*3-$_3ipyexsm62|#_g~nd%j<@Sl<~;(vaqL)w@4eH+u7@{gL(c+5UnHUmS;t zyvL`dn{F!a+9J)Gna!S5!3O@LjwkybVZ0kpU3T(v>PNC<8nB5Nr@GmV`f69h_y@18 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