11. Container With Most Water (Medium)

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

Given n non-negative integers a1, a2, ..., a, 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.

 

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:

Input: [1,8,6,2,5,4,8,3,7]
Output: 49

Hints

Solutions

  • Java

https://www.cnblogs.com/springfor/p/3871017.html

https://www.programcreek.com/2014/03/leetcode-container-with-most-water-java/

public int maxArea(int[] height) {
    if (height == null || height.length == 0)
        return 0;

    int i = 0;
    int j = height.length - 1;
    int max = 0;
    while (i < j) {
        int area = (j - i) * Math.min(height[i], height[j]);

        if (area > max) {
            max = area;
        }

        if (height[i] < height[j]) {
            i++;
        } else {
            j--;
        }
    }

    return max;
}
}
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