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Container with most water

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.
https://leetcode.com/problems/container-with-most-water/

使用首尾两个指针,每次收缩高度较小的那个。因为如果收缩高度大的那端,无论收缩后高度变高还是变低,收缩后面积一定变小(因为收缩后宽度减1,高度不会大于高度小的那端)。

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public int maxArea(int[] height) {
if(height == null || height.length <= 1) return 0;
int left = 0, right = height.length - 1, max = 0;
while(left < right) {
max = Math.max(max, (right - left) * Math.min(height[left], height[right]));
if(height[left] < height[right])
++left;
else
--right;
}
return max;
}