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48
leetcode/0053.Maximum-Subarray/53. Maximum Subarray.go
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48
leetcode/0053.Maximum-Subarray/53. Maximum Subarray.go
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package leetcode
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// 解法一 DP
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func maxSubArray(nums []int) int {
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if len(nums) == 0 {
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return 0
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}
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if len(nums) == 1 {
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return nums[0]
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}
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dp, res := make([]int, len(nums)), nums[0]
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dp[0] = nums[0]
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for i := 1; i < len(nums); i++ {
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if dp[i-1] > 0 {
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dp[i] = nums[i] + dp[i-1]
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} else {
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dp[i] = nums[i]
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}
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res = max(res, dp[i])
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}
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return res
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}
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// 解法二 模拟
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func maxSubArray1(nums []int) int {
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if len(nums) == 1 {
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return nums[0]
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}
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maxSum, res, p := nums[0], 0, 0
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for p < len(nums) {
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res += nums[p]
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if res > maxSum {
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maxSum = res
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}
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if res < 0 {
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res = 0
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}
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p++
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}
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return maxSum
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}
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func max(a int, b int) int {
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if a > b {
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return a
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}
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return b
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}
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56
leetcode/0053.Maximum-Subarray/53. Maximum Subarray_test.go
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56
leetcode/0053.Maximum-Subarray/53. Maximum Subarray_test.go
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package leetcode
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import (
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"fmt"
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"testing"
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)
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type question53 struct {
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para53
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ans53
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}
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// para 是参数
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// one 代表第一个参数
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type para53 struct {
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one []int
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}
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// ans 是答案
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// one 代表第一个答案
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type ans53 struct {
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one int
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}
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func Test_Problem53(t *testing.T) {
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qs := []question53{
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question53{
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para53{[]int{-2, 1, -3, 4, -1, 2, 1, -5, 4}},
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ans53{6},
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},
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question53{
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para53{[]int{2, 7, 9, 3, 1}},
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ans53{22},
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},
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question53{
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para53{[]int{2}},
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ans53{2},
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},
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question53{
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para53{[]int{-1, -2}},
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ans53{-1},
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},
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}
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fmt.Printf("------------------------Leetcode Problem 53------------------------\n")
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for _, q := range qs {
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_, p := q.ans53, q.para53
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fmt.Printf("【input】:%v 【output】:%v\n", p, maxSubArray(p.one))
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}
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fmt.Printf("\n\n\n")
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}
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27
leetcode/0053.Maximum-Subarray/README.md
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27
leetcode/0053.Maximum-Subarray/README.md
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# [53. Maximum Subarray](https://leetcode.com/problems/maximum-subarray/)
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## 题目
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Given an integer array `nums`, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.
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**Example:**
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Input: [-2,1,-3,4,-1,2,1,-5,4],
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Output: 6
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Explanation: [4,-1,2,1] has the largest sum = 6.
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**Follow up:**
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If you have figured out the O(*n*) solution, try coding another solution using the divide and conquer approach, which is more subtle.
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## 题目大意
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给定一个整数数组 nums ,找到一个具有最大和的连续子数组(子数组最少包含一个元素),返回其最大和。
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## 解题思路
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- 这一题可以用 DP 求解也可以不用 DP。
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- 题目要求输出数组中某个区间内数字之和最大的那个值。`dp[i]` 表示 `[0,i]` 区间内各个子区间和的最大值,状态转移方程是 `dp[i] = nums[i] + dp[i-1] (dp[i-1] > 0)`,`dp[i] = nums[i] (dp[i-1] ≤ 0)`。
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