LeetCode 11. Container With Most Water
Description
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 and n is at least 2.
class Solution {
public int maxArea(int[] height) {
int lo = 0;
int hi = height.length - 1;
int maxarea = 0;
while (lo < hi) {
maxarea = Math.max(maxarea, Math.min(height[lo], height[hi]) * (hi - lo));
if (height[lo] < height[hi]) {
lo++;
}
else
hi--;
}
return maxarea;
}
}
Complexity Analysis
Time complexity : O(n). Single pass.
Space complexity : O(1). Constant space is used.
本文介绍了解决LeetCode11题目的算法实现,该题目要求在给定的一系列垂直线中找到两个线段构成的容器能盛最多的水量。采用双指针法进行求解,从两端向中间逼近,确保复杂度为O(n)。
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