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【leetcode】Container With Most Water

时间:2014-08-27 09:29:57      阅读:174      评论:0      收藏:0      [点我收藏+]

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题目:

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.

解析:给一组数组作为水池的高度,以其中两个高度作为水池的壁,求最大的水池容量。假设左边的壁为left,右边的壁为right,则水池容量:

capacity= (right-left)*min(height(right),height(right))

解决方法是定义两个指针left和right从数组两头开始遍历:如果left的高度低于right,则将left指针右移找到比left高的重新判定capacity;反之,如果right的高度低于left,则将right的指针左移找到比right高的重新判定capacity。最后left==right结束while循环。

C++ AC代码:

class Solution {
public:
    int maxArea(vector<int> &height) {
        int capacity = 0;
        int left = 0,right = height.size()-1;
        int k;
        while(left<right){
            capacity = max(capacity,(right-left)*min(height[left],height[right]));
           
            if(height[left]<height[right]){
                k = left;
                while(k<right && height[k] <= height[left]){
                    k++;
                }
                left = k;
            }else{
                k = right;
                while(k>left && height[k] <= height[right]){
                    k--;
                }
                right = k;
            }
        }
        return capacity;
    }
};



【leetcode】Container With Most Water

标签:style   color   os   io   for   ar   div   代码   amp   

原文地址:http://blog.csdn.net/u013378502/article/details/38857361

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