问题描述: 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. 问题分析(参考了算法导论第4章分治策略的内容):…

53. 最大子序和 53. Maximum Subarray 题目描述 给定一个整数数组 nums,找到一个具有最大和的连续子数组(子数组最少包含一个元素),返回其最大和. LeetCode53. Maximum Subarray 示例: 输入: [-2,1,-3,4,-1,2,1,-5,4], 输出: 6 解释: 连续子数组 [4,-1,2,1] 的和最大,为 6. 进阶: 如果你已经实现复杂度为 O(n) 的解法,尝试使用更为精妙的分治法求解. Java 实现 class Solution…

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 practice.…

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: If…

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. 这个求最大子数组乘积问题是由最大子数组之和问题演变而来,但是却比求最大子数组之和要复…

Given an integer array nums, find the contiguous subarray within an array (containing at least one number) which has the largest product. Example 1: Input: [2,3,-2,4] Output: 6 Explanation: [2,3] has the largest product 6. Example 2: Input: [-2,0,-1]…

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…

作者: 负雪明烛 id: fuxuemingzhu 个人博客: http://fuxuemingzhu.cn/ 目录 题目描述 题目大意 解题方法 暴力解法 动态规划 日期 题目地址: https://leetcode.com/problems/maximum-subarray/#/description 题目描述 Given an integer array nums, find the contiguous subarray (containing at least one number)…

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…

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…

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,…

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: If…

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: If…

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: If…

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…

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…

Leetcode之动态规划(DP)专题-53. 最大子序和(Maximum Subarray) 给定一个整数数组 nums ,找到一个具有最大和的连续子数组(子数组最少包含一个元素),返回其最大和. 示例: 输入: [-2,1,-3,4,-1,2,1,-5,4], 输出: 6 解释: 连续子数组 [4,-1,2,1] 的和最大,为 6. 进阶: 如果你已经实现复杂度为 O(n) 的解法,尝试使用更为精妙的分治法求解. 定义:dp[i] 表示从起点到index=i的这个段内的最大子序和. 例如:d…

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…

[053-Maximum Subarray(最大子数组和)] [LeetCode-面试算法经典-Java实现][全部题目文件夹索引] 原题 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 subarr…

［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…

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. More pr…

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…

题目:  最大子数组 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. 样例 给出数组[−2,2,−3,4,−1,2,1,−5,3],符合要求的子数组为[4,−1,2,1],其最大和为6 注意 子数组最少包含一个数 挑战 要求时间复杂度为O(n) 解题: 通过率37%,一定是暴力,时间复杂度O(N3)刷出来的成绩... 动态规划求解,维基百科, 下面程序半个暴力吧,时间复杂度O(n2) Java程序: public class Solution { /** * @param nums…

I 找一个连续最大子数组,sum加到nums[i], 如果前面子数组和<0则舍去,从头开始. class Solution { public: /** * @param nums: A list of integers * @return: A integer indicate the sum of max subarray */ int maxSubArray(vector<int> &nums) { // write your code here ; ;i<nums.s…

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…

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. 解题思路: 本题目是<算法导论> 4.1 节 最大子数组的原…

题目 最大子数组差 给定一个整数数组,找出两个不重叠的子数组A和B,使两个子数组和的差的绝对值|SUM(A) - SUM(B)|最大. 返回这个最大的差值. 样例 给出数组[1, 2, -3, 1],返回 6 注意 子数组最少包含一个数 挑战 时间复杂度为O(n),空间复杂度为O(n) 解题 刚做了数组中两个子数组和的最大值,这一题是求差,感觉上题的求解思想应该是可以用的 A B 分别是两个子数组的和,则: 所以 当A>B 的时候A越大越好 B越小越好 当A<B 的时候B越大越好 A越小越好…

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…