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11. Container With Most Water

Given n non-negative integers a1a2, ..., an, where each represents a point at coordinate (iai). n vertical lines are drawn such that the two endpoints of line i is at (iai) 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;    }

 

11. Container With Most Water