11. Container With Most Water（js）

11. Container With Most Water

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 and n is at least 2.

 

The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49.

 

Example:

Input: [1,8,6,2,5,4,8,3,7]
Output: 49
题意：计算直方图中任意两边围成矩形的面积，返回最大值
代码如下（js）:

var maxArea = function(height) {
    var len=height.length;
    var max=0;
    var left=0,right=len-1;
    while(left<right){
//         找出左右两边较矮的高，计算面积和当前最大值进行比较
        max=max>(right-left)*Math.min(height[left],height[right])?max:(right-left)*Math.min(height[left],height[right]);
//         比较左右两边的高，较矮的向中间挪一步
        height[left]>height[right]?right--:left++;
    }
    return max;
};