LeetCode-in-All

11. Container With Most Water

Medium

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

Constraints:

• n == height.length
• 2 <= n <= 105
• 0 <= height[i] <= 104

Solution

impl Solution {
    pub fn max_area(height: Vec<i32>) -> i32 {
        let mut max_area = 0;
        let mut left = 0;
        let mut right = height.len() as i32 - 1;
        while left < right {
            let h_left = height[left as usize];
            let h_right = height[right as usize];

            if h_left < h_right {
                max_area = max_area.max(h_left * (right - left));
                left += 1;
            } else {
                max_area = max_area.max(h_right * (right - left));
                right -= 1;
            }
        }
        max_area
    }
}

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