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.

这道题里面，一开始从左右两边开始，这个case下宽度是最大的，那之后出现比它大的情况只有两条边中至少一边更长。一种思路是先从左边开始，如果左边比右边小，那么向左挪一位，继续比较。当左边比右边大的情况下，修正结果。然后从右边开始挪，因为此时左边的边是更大的，只有右边比左边还大才可能比之前的contains更多水。

public int MaxArea(int[] height) {
         int left = 0;
         int right = height.Count()-1;
         int res =Math.Min(height[right],height[left])*(right - left);
         while(left<right)
         {
             res =Math.Max(res,Math.Min(height[right],height[left])*(right - left));
             if(height[left]>= height[right])
             {
                 right--;
             }
             else 
             {
                 left++;
             }
            
         }
         
         return res;
    }