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LeetCode-11-Container With Most Water

sla eas max nta height ive most raw coo

算法描述:

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 iis 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

解題思路:

用暴力法可以直接解決,此外用雙指針方式也可以解決。

int
maxArea(vector<int>& height) { int left = 0; int right = height.size()-1; int maxArea = 0; while(left < right){ int h = min(height[left],height[right]); int w = right - left; maxArea = max(maxArea,h*w); if(height[left] < height[right]) left++;
else right--; } return maxArea; }

LeetCode-11-Container With Most Water