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.

Similar: 42. Trapping Rain Water

 1 public class Solution {
 2     public int maxArea(int[] height) {
 3         if (height.length < 2) return 0;
 4         int l = 0, r = height.length-1;
 5         int max = 0;
 6         while (l < r) {
 7             int lomax = height[l];
 8             int himax = height[r];
 9             max = Math.max(max, (r - l) * (lomax < himax ? lomax : himax));
10             
11             if (height[l] < height[r])
12                 while (l < r && height[l] <= lomax) l++; // will change l at least one step
13             else while (l < r && height[r] <= himax) r--;
14         }
15         
16         return max;
17     }
18 }