1 题目: 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. click to show more practic…

In computer science, the maximum subarray problem is the task of finding the contiguous subarray within a one-dimensional array of numbers which has the largest sum. For example, for the sequence of values −2, 1, −3, 4, −1, 2, 1, −5, 4; the contiguou…

Maximum Subarray Sum 题意 给你一个大小为N的数组和另外一个整数M.你的目标是找到每个子数组的和对M取余数的最大值.子数组是指原数组的任意连续元素的子集. 分析 参考 求出前缀和,问题变成了O(n*n)复杂度的问题,但是仍然不能解决问题. 设prefix为前缀和,设i < j,一般都是通过算sum = prefix[j] - prefix[i]求和的最大值,但是本题中有取模,要求sum最大. 第一种情况:如果prefix[j] > prefix[i],sum < pr…

leetcode - 53. Maximum Subarray - Easy descrition 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 th…

［抄题］: 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. 方法一:贪心算法greedy ［一句话思路］: 每次…

Dynamic Programming There is a nice introduction to the DP algorithm in this Wikipedia article. The idea is to maintain a running maximum smax and a current summation sum. When we visit each num in nums, addnum to sum, then update smax if necessary o…

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…

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:…