Is Maximum Containers on a Ship easy or hard?

Maximum Containers on a Ship is categorized as an Easy problem. The main challenge is recognizing that the constraints reduce to a simple mathematical formula rather than implementing a loop or simulation.

Maximum Containers on a Ship Python/Java solution

The implementation is only a few lines in Python, Java, C++, Go, or TypeScript. Calculate the deck capacity, compute the number of containers allowed by weight, and return the minimum of the two values.

How to solve Maximum Containers on a Ship in O(1)?

First compute the total container slots on the ship, typically rows multiplied by columns. Then compute how many containers can be carried based on the ship's weight limit using maxWeight divided by containerWeight. The final answer is min(totalSlots, weightLimitContainers).

What is the best approach for Maximum Containers on a Ship?

The best approach is a direct mathematical calculation. Compute the total number of available container slots and the number of containers allowed by the ship's weight capacity. The answer is the minimum of these two values. This runs in O(1) time and O(1) space.

Is Maximum Containers on a Ship asked at Google/Amazon/Meta?

This problem represents the type of easy math and constraint reasoning questions that appear in early interview rounds or online assessments. Similar arithmetic optimization problems have appeared in interviews at large tech companies and coding platforms.

What data structure is used in Maximum Containers on a Ship?

No complex data structure is required. The problem is solved using basic arithmetic operations and a minimum comparison, making it a pure math-based problem.

What is the time complexity of Maximum Containers on a Ship?

The optimal solution runs in O(1) time because it only performs a few arithmetic operations and one minimum comparison. No loops or additional data structures are required, so the space complexity is also O(1).

Description Hints 2 Solution Video 4:02

3492. Maximum Containers on a Ship

Easy75.2% acceptance1 company

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

Asked at 1 company

Google

Topics

Math

Hints open one at a time

Hint 1

What are the limits on the number of containers?

Hint 2

We can load at most min(n * n, maxWeight / w) containers.

4:02

Still stuck?Read the written solution, or watch a walkthrough.

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1class Solution:
2    def maxContainers(self, n: int, w: int, maxWeight: int) -> int:
3        

Starter codePython 3Spaces: 4

Examples

Case 1Case 2

Input

2
3
15

Input

3
5
20

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