Given an array of integers and a number k, find k non-overlapping subarrays which have the largest sum. The number in each subarray should be contiguous. Return the largest sum. Note The subarray should contain at least one number Example Given [-1,4…

Given an array of integers, find a contiguous subarray which has the largest sum. Notice The subarray should contain at least one number. Have you met this question in a real interview? Yes Example Given the array [−2,2,−3,4,−1,2,1,−5,3], the contigu…

Given an array with integers. Find two non-overlapping subarrays A and B, which |SUM(A) - SUM(B)| is the largest. Return the largest difference. Note The subarray should contain at least one number Example For [1, 2, -3, 1], return 6 Challenge O(n) t…

Given an array of integers, find two non-overlapping subarrays which have the largest sum. The number in each subarray should be contiguous. Return the largest sum. Note The subarray should contain at least one number Example For given [1, 3, -1, 2,…

1. 暴力枚举 2. “聪明”枚举 3. 分治法 分:两个基本等长的子数组,分别求解T(n/2) 合:跨中心点的最大子数组合(枚举)O(n) 时间复杂度:O(n*logn) class Solution { public: /** * @param nums: A list of integers * @return: A integer indicate the sum of max subarray */ int maxSubArray(vector<int> nums) { // wri…

这两个系列的题目其实是同一套题,可以互相转换. 首先我们定义一个数组: prefixSum (前序和数组) Given nums: [1, 2, -2, 3] prefixSum: [0, 1, 3, 1, 4 ] 现在我们发现对prefixSum做Best Time To Buy And Sell Stock和对nums做Maximum Subarray,结果相同. 接下来我们就利用prefixSum解这两个系列的题目. Maximum Subarray Question Given an a…

1.   Maximum Subarray (#53) Find the contiguous subarray within an array (containing at least one number) which has the largest sum. For example, given the array [-2, 1, -3, 4, -1, 2, 1, -5, 4], the contiguous subarray [4, -1, 2, 1] has the largest s…

<算法导论>一书中演示分治算法的第二个例子,第一个例子是递归排序,较为简单.寻找maximum subarray稍微复杂点. 题目是这样的:给定序列x = [1, -4, 4, 4, 5, -3, -4, 9, 6 - 4, 6, 4, 3, -5]:寻找一个连续的子序列,使得其和是最大. 这个题目有意义的地方在于,序列X的元素有正有负. 思路很简单,把序列分为相同的两部分A和B,在其内寻找maximum subarray,那么maximum subarray有可能在A中,也有可能在B中,也有…

Maximum Subarray Find the contiguous subarray within an array (containing at least one number) which has the largest sum. For example, given the array [−2,1,−3,4,−1,2,1,−5,4],the contiguous subarray [4,−1,2,1] has the largest sum = 6. More practice:…

Maximum Subarray Find the contiguous subarray within an array (containing at least one number) which has the largest sum. For example, given the array [−2,1,−3,4,−1,2,1,−5,4],the contiguous subarray [4,−1,2,1] has the largest sum = 6. More practice:…