考察:最大连续字段和问题. 解决问题时间复杂度:O(n) 问题隐含条件:如果给出的数集都是负数,那么最大连续字段和就是,最大的那个负数. eg:{-2,-1}  结果应该输出 -1 而不是 0 int maxSubArray(int* nums, int numsSize) { int maxSum = 0; //维护最大连续字段和 int currentMaxSum = 0;//当前最大和 int nextNum = 0; int singleSum = nums[0]; //存在全是负数,则…

1 class Solution { 2 public: 3 //动态规划,维护两个变量 local[i+1]=max(array[i],local[i]+array[i+1]) 4 int FindGreatestSumOfSubArray(vector<int> array) { 5 int len=array.size(); 6 if(len==0) return 0; 7 if(len==1) return array[0]; 8 int local=array[0]; 9 int g…

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. 思路:类似最大和连续子序列那样,不过除了记录最大乘积,我们还要记录最小的乘积.这里我…

题目 乘积最大子序列 找出一个序列中乘积最大的连续子序列(至少包含一个数). 样例 比如, 序列 [2,3,-2,4] 中乘积最大的子序列为 [2,3] ,其乘积为6. 解题  法一:直接暴力求解 时间复杂度O(N2) public class Solution { /** * @param nums: an array of integers * @return: an integer */ public int maxProduct(int[] nums) { // write your c…

题目大意: 连续最大子段积 题目思路: 最大值只能产生在一个正数x一个正数,一个负数乘一个负数,所以维护两个值,一个区间最大值,一个最小值 其他的话: 在讨论这个问题之前,我先来说一说大一刚开学就学了的最简单的dp问题之一的[最大连续子序列] 先来看一个数组a{ -2, 11, -4, 13, -5, -2 },求连续子序列中和最大的那个 对于第i个数来说,dp[i]表示,以i结尾的序列最大的和为dp[i] 状态转移方程为dp[i] = max{ dp[i-1] + a[i], a[i] } 无…

https://leetcode.com/problems/maximum-subarray/ 思路: 如果全为负值,那么取最大值 如果有非负值,那么我们依次计算到当前位置为止的最大值.假设有n个元素,那么最大连续子序列只可能以0~n-1中某个位置结尾.当我们遍历到第i个元素时,判断以位置i-1为结尾的最大元素子序列和是否小于0,如果小于0,那么以位置i为结尾的最大连续子序列和为位置i对应的元素:否则,以位置i为结尾的最大连续子序列和为(以位置i-1为结尾的最大元素子序列和 + 位置i的元素)…

题目来源:https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=3&page=show_problem&problem=44  Maximum Sum  Background A problem that is simple to solve in one dimension is often much more difficult to solve in more th…

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…

Given a sequence of K integers { N1, N2, …, NK }. A continuous subsequence is defined to be { Ni, Ni+1, …,Nj } where 1 <= i <= j <= K. The Maximum Subsequence is the continuous subsequence which has thelargest sum of its elements. For example, gi…

Given a sequence of K integers { N1, N2, ..., *N**K* }. A continuous subsequence is defined to be { Ni, Ni+1, ..., *N**j* } where 1≤i≤j≤K. The Maximum Subsequence is the continuous subsequence which has the largest sum of its elements. For example, g…