(Leetcode)11. Container With Most Water

題目:

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.

題意:

找到條縱線然後這兩條線以及X軸構成的容器能容納最多的水。

思路:
面積,它受長和高的影響,當長度減小時候,高必須增長才有可能提升面積,所以我們從長度最長時開始遞減,然後尋找更高的線來更新候補;

public int maxArea(int[] height) {
        int left = 0;
        int right = height.length-1;
        int area = 0 ;

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

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

        return area;

    }
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