思路: 最大子段和的变体,前后两个方向分别扫一遍即可. 实现: class Solution { public: int maximumSum(vector<int>& arr) { int n = arr.size(); ) ]; vector<int> f(n), b(n); , sum = ; ; i < n; i++) { sum += arr[i]; f[i] = sum - minn; minn = min(minn, sum); } minn = sum…

题目如下: Given an array of integers, return the maximum sum for a non-empty subarray (contiguous elements) with at most one element deletion. In other words, you want to choose a subarray and optionally delete one element from it so that there is still…

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…

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…

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 practice. Mor…

描述: 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…

Description 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: [-,,-,,-,,,-,], Output: Explanation: [,-,,] has the largest sum = . Follow up: If you…

Given an array nums and a target value k, find the maximum length of a subarray that sums to k. If there isn't one, return 0 instead. Example 1: Given nums = [1, -1, 5, -2, 3], k = 3, return 4. (because the subarray [1, -1, 5, -2] sums to 3 and is th…

Subarray Sum Given an integer array, find a subarray where the sum of numbers is zero. Your code should return the index of the first number and the index of the last number. Notice There is at least one subarray that it's sum equals to zero. Example…

Subarray Sum Given an integer array, find a subarray where the sum of numbers is zero. Your code should return the index of the first number and the index of the last number. Notice There is at least one subarray that it's sum equals to zero. Example…

Given an array nums and a target value k, find the maximum length of a subarray that sums to k. If there isn't one, return 0 instead. Note:The sum of the entire nums array is guaranteed to fit within the 32-bit signed integer range. Example 1: Given…

Given an array nums and a target value k, find the maximum length of a subarray that sums to k. If there isn't one, return 0 instead. Example 1: Given nums = [1, -1, 5, -2, 3], k = 3,return 4. (because the subarray [1, -1, 5, -2] sums to 3 and is the…

整体上3个题都是求subarray,都是同一个思想,通过累加,然后判断和目标k值之间的关系,然后查看之前子数组的累加和. map的存储:560题是存储的当前的累加和与个数 561题是存储的当前累加和的余数与第一次出现这个余数的位置 325题存储的是当前累加和与第一次出现这个和的位置 其实561与325都是求的最长长度,那就一定要存储的是第一次出现满足要求的位置,中间可能还出现这种满足要求的情况,但都不能进行存储 560. Subarray Sum Equals K 求和为k的连续子数组的个数 h…

2020-02-18 20:57:58 一.Maximum Subarray 经典的动态规划问题. 问题描述: 问题求解: public int maxSubArray(int[] nums) { int res = nums[0]; int n = nums.length; int[] dp = new int[n]; dp[0] = nums[0]; for (int i = 1; i < n; i++) { if (dp[i - 1] < 0) dp[i] = nums[i]; else…

Given an array of n positive integers and a positive integer s, find the minimal length of a subarray of which the sum ≥ s. If there isn't one, return 0 instead. For example, given the array [2,3,1,2,4,3] and s = 7,the subarray [4,3] has the minimal…

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…

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:…

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…

Given an integer array, find a continuous subarray where the sum of numbers is the biggest. Your code should return the index of the first number and the index of the last number. (If their are duplicate answer, return anyone) Have you met this quest…

转自:http://kartikkukreja.wordpress.com/2013/06/17/kadanes-algorithm/ 本来打算自己写的,后来看到上述链接的博客已经说得很清楚了,就不重复劳动啦. Here, I describe variants of Kadane’s algorithm to solve the maximum subarray and the minimum subarray problems. The maximum subarray problem is…

Maximum Product Subarray Title: Find the contiguous subarray within an array (containing at least one number) which has the largest product. For example, given the array [2,3,-2,4],the contiguous subarray [2,3] has the largest product = 6. 对于Product…

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. click to show…

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…

# -*- coding: utf8 -*-'''__author__ = 'dabay.wang@gmail.com' 53: Maximum Subarrayhttps://leetcode.com/problems/maximum-subarray/ Find the contiguous subarray within an array (containing at least one number) which has the largest sum.For example, give…

53. 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. 思路:这个题还挺经典…

53. Maximum Subarray[leetcode] 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. 挑…

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…

题目描述 给定一个序列(至少含有 1 个数),从该序列中寻找一个连续的子序列,使得子序列的和最大. 例如,给定序列 [-2,1,-3,4,-1,2,1,-5,4], 连续子序列 [4,-1,2,1] 的和最大,为 6. 扩展练习: 若你已实现复杂度为 O(n) 的解法,尝试使用更为精妙的分治法求解. 思路 思路一: maxSum 必然是以numsi结尾的某段构成的,也就是说maxSum的candidate必然是以nums[i]结果的.如果遍历每个candidate,然后进行比较,那么就能找到最大…