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LeetCode题解:Container With Most Water

2015-08-28 10:53 441 查看
Given n non-negative integers a1, a2, …, an, where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints of line i is at (i, ai) 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.

题意:给定n个正整数作为纵坐标,每个数在横坐标上相隔1,求构成的最大矩形

解题思路:最大矩形必然左右矩形纵坐标大于等于中心矩形的纵坐标

代码:

public class Solution {
    public int maxArea(int[] height) {
        if(height == null || height.length == 0){
            return 0;
        }

        int max = 0;
        int left = 0;
        int right = height.length - 1;

        while(left < right){
            int temp = Math.min(height[left], height[right]) * (right - left);

            if(temp > max){
                max = temp;
            }

            if(height[left] < height[right]){
                ++left;
            }else{
                --right;
            }
        }

        return max;
    }
}
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