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Container With Most Water

时间:2014-03-24 04:59:41      阅读:424      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.

思路:这道题就是求最大矩形面积。当长度减少时,高度必须增加才能增大面积。使用两个指针——首指针和尾指针,取min(ai,aj)*(j-i).如果头指针指向的结点小于尾指针指向的结点,这头指针向前移动,否则尾指针向前移动,再继续求解矩形面积。感觉就像贪心算法,如果距离减小,必须通过增加高度来弥补。

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class Solution {
public:
    int maxArea(vector<int> &height) {
        int nSize=height.size();
        if(nSize==0)
            return 0;
        int Area=0;
        int mostWater=0;
        vector<int>::iterator iter1=height.begin();
        vector<int>::iterator iter2=height.end()-1;
        while(iter1<iter2)
        {
            Area=min(*iter1,*iter2)*(iter2-iter1);
            if(mostWater<Area)
                mostWater=Area;
            if(*iter1<*iter2)
                iter1++;
            else
                iter2--;
        }
        return mostWater;
    }
};
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Container With Most Water

原文:http://www.cnblogs.com/awy-blog/p/3619989.html

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