Challenge Statement

  • You are given an integer array height of length n. There are n vertical lines drawn such that the two endpoints of the ith line are (i, 0) and (i, height[i]).
  • Find two lines that together with the x-axis, form a container, such that the container contains the most water.
  • Return the maximum amount of water a container can store.
  • This challenge corresponds to LeetCode #11.

Constraints

  • n == len(height)
  • 2 <= n <= 105
  • 0 <= height[i] <= 104

Example 1:

Input: height = [1, 8, 6, 2, 5, 4, 8, 3, 7]

Output: 49

Explanation: The above vertical lines are represented by the array [1, 8, 6, 2, 5, 4, 8, 3, 7]. In this case, the max area of water the container can contain is 49.

Example 2:

Input: height = [1,1]

Output: 1

Solution

Below is my solution and some test cases. This solution has a linear time complexity O(n) and a constant space complexity O(1), where n is the length of the input list.