**π‘ Problem Formulation:** The challenge is to calculate the maximum number of boxes that can fit into a godown given the size constraints of both the godown and the boxes. For instance, if the godown has a volume of 1000 cubic units and each box occupies 10 cubic units, the program should output 100 as the maximum number of boxes that can be accommodated.

## Method 1: Brute Force Calculation

This method involves a direct calculation based on the godownβs volume and the volume of a single box. Itβs straightforward and requires dividing the godown’s total available volume by the volume of one box.

Here’s an example:

def calculate_boxes(godown_volume, box_volume): return godown_volume // box_volume # Example usage: num_boxes = calculate_boxes(1000, 10) print(num_boxes)

Output: 100

This code snippet defines a function `calculate_boxes()`

which takes the total volume of the godown and the volume of a single box as arguments. It uses the floor division operator to calculate the maximum number of boxes that can fit into the godown without partial boxes.

## Method 2: Using Modulus for Exact Fit

This method extends the brute force calculation by considering the remaining space after filling the godown with the maximum number of boxes. If the remainder is not enough for an additional box, it confirms the exact fit.

Here’s an example:

def calculate_exact_fit(godown_volume, box_volume): boxes = godown_volume // box_volume return boxes, godown_volume % box_volume == 0 # Example usage: num_boxes, exact_fit = calculate_exact_fit(1000, 10) print(f'Number of Boxes: {num_boxes}, Exact Fit: {exact_fit}')

Output: Number of Boxes: 100, Exact Fit: True

This snippet introduces a function `calculate_exact_fit()`

that calculates the total number of boxes and also checks if they fit exactly without leaving unused space. This is handy to ensure that no additional smaller box could potentially fit into the godown.

## Method 3: Iterative Box Packing Simulation

This method simulates the packing process iteratively, filling the godown box by box. This approach is useful if additional constraints are to be considered, like different box sizes or complex shapes.

Here’s an example:

def simulate_box_packing(godown_volume, box_volume): boxes = 0 while godown_volume >= box_volume: godown_volume -= box_volume boxes += 1 return boxes # Example usage: num_boxes = simulate_box_packing(1000, 10) print(num_boxes)

Output: 100

The function `simulate_box_packing()`

iteratively subtracts the box volume from the godown’s volume and increments a counter until no more boxes can fit. This is suitable for scenarios where box placement needs to be visualized or other conditional logic applies.

## Method 4: Object-Oriented Design

Approaching the problem using Object-Oriented Programming (OOP) principles by creating classes for the Godown and Box can provide a scalable and maintainable codebase, especially for complex systems where godowns or boxes have additional attributes or methods.

Here’s an example:

class Box: def __init__(self, volume): self.volume = volume class Godown: def __init__(self, volume): self.volume = volume def calculate_capacity(self, box): return self.volume // box.volume # Example usage: godown = Godown(1000) box = Box(10) print(godown.calculate_capacity(box))

Output: 100

This example demonstrates an object-oriented approach to the problem. We define a `Box`

class and a `Godown`

class, each with a volume attribute. The `Godown`

class includes a method to calculate how many instances of `Box`

it can contain.

## Bonus One-Liner Method 5: Lambda Function

A lambda function can offer a compact solution to the problem. It’s a straightforward, concise way to calculate box capacity with a single line of code.

Here’s an example:

calculate_boxes = lambda godown_volume, box_volume: godown_volume // box_volume # Example usage: print(calculate_boxes(1000, 10))

Output: 100

The lambda function defined here takes two parameters and returns the integer division of the godown volume by the box volume. It’s a quick and concise way to perform this calculation without the need for a full function definition.

## Summary/Discussion

**Method 1: Brute Force Calculation.**Fast and straightforward. Best for simple scenarios where no additional constraints or complexities are involved.**Method 2: Using Modulus for Exact Fit.**Extends brute force logic to account for an exact fit. Useful for situations where godown space optimization is critical.**Method 3: Iterative Box Packing Simulation.**Simulates the packing process. Ideal for problems incorporating varying box sizes or other additional puzzle-like problems.**Method 4: Object-Oriented Design.**Provides a modular and scalable approach. Recommended for complex systems where godowns and boxes have many attributes or behaviors.**Bonus One-Liner Method 5: Lambda Function.**Extremely concise. Best for quick calculations in simple scripts or inline usage.