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 the line i
is at (i, ai)
and (i, 0)
. Find two lines, which, together with the x-axis forms a container, such that the container contains the most water.
Notice that you may not slant the container.
Example 1:

Input: height = [1,8,6,2,5,4,8,3,7] Output: 49 Explanation: 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 2:
Input: height = [1,1] Output: 1
Example 3:
Input: height = [4,3,2,1,4] Output: 16
Example 4:
Input: height = [1,2,1] Output: 2
NOTE:
n == height.length
2 <= n <= 105
0 <= height[i] <= 104
This problem is also popular in LeetCode and GeeksForGeeks A collection of hundreds of interview questions and solutions are available in our blog at Interview Question Solutions
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/** | |
* 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. | |
*/ | |
package com.alg.leetcode.others; | |
/** | |
* ref:http://rafal.io/posts/leetcode-11-container-with-most-water.html | |
* @author rbaral | |
* | |
*/ | |
public class ContainerWithMaxWater { | |
public int maxArea(int[] height) { | |
int maxA = 0; | |
int i = 0; | |
int j = height.length-1; | |
int curArea=0; | |
while(i < j){ | |
if(height[i]- height[j]<=0) | |
curArea = (j-i) * height[i]; | |
else | |
curArea = (j-i) * height[j]; | |
maxA = Math.max(curArea,maxA); | |
if(height[i] < height[j]) i++; | |
else j--; | |
} | |
return maxA; | |
} | |
} |
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