本文将介绍计算机算法中的经典问题——最大子数组问题(maximum subarray problem)。所谓的最大子数组问题,指的是:给定一个数组A,寻找A的和最大的非空连续子数组。比如,数组 A = [-2, -3, 4, -1, -2, 1, 5, -3], 最大子数组应为[4, -1, -2, 1, 5],其和为7。 首先,如果...
the minimum subarray problem is to find the contiguous subarray having the smallest sum. Variants of Kadane’s algorithm can solve these problems in O(N) time.
Given an integer arraynums, 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...
Notice that if we changed "sum" into "min" the problem would be solvable in time. Similarly, if we changed "sum" into "gcd" the problem would still be solvable in time. (I can elaborate if you are interested). The problem is, with other associative operations, such as sum or product...
Given an array A of n real numbers, the maximum subarray problem is to find a contiguous subarray which has the largest sum. The k-maximum subarrays problem is to find ksuch subarrays with the...doi:10.1007/978-3-030-34029-2_29Ovidiu Daescu...
Notice:The subarray should contain at least one number. 给定一个整数数组,找到一个具有最大和的子数组,返回其最大和。 注意:子数组最少包含一个数 【题目链接】 http://www.lintcode.com/en/problem/maximum-subarray/ 【题目解析】 O(n)就是一维DP. ...
problem: 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...Leetcode 53:Maximum Subarray Given an integer array nums, find the contiguous subarray (containing...
http://www.lintcode.com/en/problem/maximum-subarray-iii/ 【题目解析】 最重要的思路: 维护一个 globalMax [ k+1 ] [ len+1 ] 的矩阵, globalMax [ i ] [ j ] 代表了前 j 个数中取 i 个 subarray 得到的最大和, 注意这里第 j 个数不一定被包括。
//A Divide and Conquer based program for maximum subarray sum problem#include <stdio.h>#include<limits.h>//A utility funtion to find maximum of two integersintmax(inta,intb) {return(a > b)?a : b; }//A utility funtion to find maximum of three integersintmax(inta,intb,intc) {return...
LeetCode#53 Maximum Subarray Problem Difinition: 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....