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ycFw
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Leetcode-Java
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Leetcode-Java
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ContainerWithMostWater.java
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ContainerWithMostWater.java
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/**
* 题目的意思是选定两块板子组成一个桶,使得装水量最大。注意其余的板子都忽略。
* 一种O(n)的方法是对于区间[left, right],假如height[left] < height[right],则我们可以认定[left, right - 1],[left, right - 2] ...
* 都不会比[left, right]装的水更多。原因是木桶的短板没变,所以水平面不会变,但是宽度减小了。
* 所以我们要继续尝试的方向是从较短的一方推进,寄希望于其之后的板子能高一点
* 如果两边一样高,那随便推进哪一边都行,因为假如之后还能装更多水,一定不会包含这两边任意一块。如果包含了,水量不会超过当前。
*/
public class ContainerWithMostWater {
public int maxArea(int[] height) {
int max = 0;
for (int left = 0, right = height.length - 1; left < right; ) {
max = Math.max(max, Math.min(height[left], height[right]) * (right - left));
if (height[left] < height[right]) {
left++;
} else {
right--;
}
}
return max;
}
}
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