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,…

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 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 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…

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…

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. For given [1, 3, -1, 2, -1, 2], the two subarrays are [1, 3] and [2, -1, 2] or [1, 3,…

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…

leetcode644. Maximum Average Subarray II 题意: 给定由n个整数组成的数组,找到长度大于或等于k的连续子阵列,其具有最大平均值.您需要输出最大平均值. 思路: 先计算前k个的avg和sum,然后每次往后加一个数,每次加一个数的同时用一个tempsum( = sum)依次减少前置的数,以此来模拟区间向后移动的计算.与直接的暴力相比,少了向后加又前减的一些步骤,减少了许多重复计算,但是这应该不是最优的算法,更快的算法暂时还没想到. ac代码: C++ clas…

Given an array consisting of n integers, find the contiguous subarray whose length is greater than or equal to k that has the maximum average value. And you need to output the maximum average value. Example 1: Input: [1,12,-5,-6,50,3], k = 4 Output:…

Description Given an array with positive and negative numbers, find the maximum average subarray which length should be greater or equal to given length k. It's guaranteed that the size of the array is greater or equal to k. Example Example 1: Input:…

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:…

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…

间隔2天,继续开始写LeetCodeOj. 原题: Maximum Subarray 其实这题很早就看了,也知道怎么做,在<编程珠玑>中有提到,求最大连续子序列,其实只需要O(n)的复杂度就可以. 今天早上到公司比较早,就写了一下,发现还是有地方忘了: 1. 记得记录当前的最大值,因为局部最大和全局最大是不同的. 2. 记得描述32位int最大值,最小值的方法,最大值是 0x7FFFFFFF,最小值是0x80000000. class Solution { public: int maxSub…

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…

# -*- 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…

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…

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…

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…

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…

最大子数组:Maximum Subarray 参考来源:Maximum subarray problem Kadane算法扫描一次整个数列的所有数值,在每一个扫描点计算以该点数值为结束点的子数列的最大和(正数和).该子数列由两部分组成:以前一个位置为结束点的最大子数列.该位置的数值.因为该算法用到了“最佳子结构”(以每个位置为终点的最大子数列都是基于其前一位置的最大子数列计算得出)时间复杂度O(n) public class Solution { public int maxSubArray(i…

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…

问题简介   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A中的元素全部为正(或非负数),则最大子数组就是它本身:如果A中的元素全部为负,则最大子数组就是第一个元素组成的数组.以上两种情形是平凡的,那么,…

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. SOLUTION 1: 采用滑…