11. Container With Most Water
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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.
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
Constraints:
n == height.length2 <= n <= 1050 <= height[i] <= 104
Hints
Hint 1
If you simulate the problem, it will be O(n^2) which is not efficient.
Hint 2
Try to use two-pointers. Set one pointer to the left and one to the right of the array. Always move the pointer that points to the lower line.
Hint 3
How can you calculate the amount of water at each step?