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leetcode/0053.Maximum-Subarray/README.md

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+# [53. Maximum Subarray](https://leetcode.com/problems/maximum-subarray/)
+
+
+## 题目
+
+Given an integer array `nums`, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.
+
+**Example:**
+
+
+    Input: [-2,1,-3,4,-1,2,1,-5,4],
+    Output: 6
+    Explanation: [4,-1,2,1] has the largest sum = 6.
+
+
+**Follow up:**
+
+If you have figured out the O(*n*) solution, try coding another solution using the divide and conquer approach, which is more subtle.
+
+## 题目大意
+
+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。
+
+## 解题思路
+
+- 这一题可以用 DP 求解也可以不用 DP。
+- 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)`。