Introduction

In this blog post, we will explore how to solve the LeetCode problem "3492" using AI. LeetCode is a popular platform for preparing for coding interviews, and with the help of AI tools like Chatmagic, we can generate solutions quickly and efficiently - helping you pass the interviews and get the job offer without having to study for months.

Problem Statement

You are given a positive integer n representing an n x n cargo deck on a ship. Each cell on the deck can hold one container with a weight of exactly w. However, the total weight of all containers, if loaded onto the deck, must not exceed the ship's maximum weight capacity, maxWeight. Return the maximum number of containers that can be loaded onto the ship. Example 1: Input: n = 2, w = 3, maxWeight = 15 Output: 4 Explanation: The deck has 4 cells, and each container weighs 3. The total weight of loading all containers is 12, which does not exceed maxWeight. Example 2: Input: n = 3, w = 5, maxWeight = 20 Output: 4 Explanation: The deck has 9 cells, and each container weighs 5. The maximum number of containers that can be loaded without exceeding maxWeight is 4. Constraints: 1 <= n <= 1000 1 <= w <= 1000 1 <= maxWeight <= 109

Explanation

Here's an efficient solution to determine the maximum number of containers that can be loaded onto the ship:

• Calculate the total number of cells on the cargo deck.

• Determine the maximum number of containers that can be loaded by dividing the ship's maximum weight capacity by the weight of each container, using integer division.

• Runtime Complexity: O(1), Storage Complexity: O(1)

Code

    def max_containers(n: int, w: int, maxWeight: int) -> int:
    """
    Calculates the maximum number of containers that can be loaded onto the ship.

    Args:
        n: The size of the cargo deck (n x n).
        w: The weight of each container.
        maxWeight: The ship's maximum weight capacity.

    Returns:
        The maximum number of containers that can be loaded onto the ship.
    """
    total_cells = n * n
    max_loadable_containers = maxWeight // w
    return min(total_cells, max_loadable_containers)