LeetCode Container With Most Water
2014-10-16 10:53
411 查看
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.
题意:二维坐标系里有 n 个点 (i, ai), ai >= 0,从 (i, ai)到(i, 0)划竖线,共有 n 条竖线。
找出两条竖线,使得它们构成的矩形的面积最大,矩形的高取决于最短的竖线。
思路:贪心
从首尾两个下标head 和trail 处开始扫描,用一个变量 maxArea 保持当前最大的矩形面积。
如果head 指向的竖线短于 trail 的,则右移 head
否则左移 trail
计算面积,更新 maxArea
复杂度:时间O(n),空间O(1)
Note: You may not slant the container.
题意:二维坐标系里有 n 个点 (i, ai), ai >= 0,从 (i, ai)到(i, 0)划竖线,共有 n 条竖线。
找出两条竖线,使得它们构成的矩形的面积最大,矩形的高取决于最短的竖线。
思路:贪心
从首尾两个下标head 和trail 处开始扫描,用一个变量 maxArea 保持当前最大的矩形面积。
如果head 指向的竖线短于 trail 的,则右移 head
否则左移 trail
计算面积,更新 maxArea
复杂度:时间O(n),空间O(1)
public class Solution { public int maxArea(int[] height) { if (height.length<2) { return 0; } int leftEdge=0; int rightEdge=height.length-1; int maxarea=0,area=0; while (leftEdge!=rightEdge) { area=Math.min(height[leftEdge], height[rightEdge])*(rightEdge-leftEdge); if (area>maxarea) { maxarea=area; } if (height[leftEdge]<height[rightEdge]) { leftEdge++; }else { rightEdge--; } } return maxarea; } }
相关文章推荐
- [week 5][Leetcode] Container With Most Water
- [leetcode]Container With Most Water @ Python
- LeetCode之路——Container With Most Water
- [Leetcode] Container With Most Water
- Leetcode: Container With Most Water
- 30-Container With Most Water-Leetcode
- [leetcode题后感]container with most water
- [LeetCode] Container With Most Water
- Leetcode: Container With Most Water
- LeetCode-11 Container With Most Water(容器装水最大量)
- [LeetCode]Container With Most Water
- LeetCode之11_Container With Most Water
- 【Leetcode】Container With Most Water in JAVA
- leetcode_Container With Most Water
- LeetCode: Container With Most Water
- 【LEETCODE】11-Container With Most Water [Python]
- [leetcode] Container With Most Water
- Leetcode Container With Most Water
- leetcode:Container With Most Water 【Java】
- leetcode 【 Container With Most Water 】python 实现