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leetcode Container With Most Water

时间:2014-03-28 08:55:23      阅读:426      评论:0      收藏:0      [点我收藏+]

Given n non-negative integers a1a2, ..., an, where each represents a point at coordinate (iai). n vertical lines are drawn such that the two endpoints of line i is at (iai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container.

面试中比较常问的一道题,开始还以为是选择两个极大值点和一个极小值点,理解错了

第一种解法,直接暴力,时间复杂度O(n^2)

第二种解法,有点类似一次快排的过程

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#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

int maxArea(vector<int> &height){
    int maxWaterArea = 0;
    int left = 0, right = height.size()-1;
    while (left < right) {
        maxWaterArea = max((right-left)*min(height[left],height[right]),maxWaterArea);
        if (height[left] < height[right])  left++;
        else right--;
    }
    return maxWaterArea;
}
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leetcode Container With Most Water

原文:http://www.cnblogs.com/xiongqiangcs/p/3628789.html

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