## Introduction

Codechef is a popular platform for competitive programming, and solving puzzles is an essential part of honing programming skills. In this article, we will discuss a puzzle game solution in Python, specifically for Codechef.

## The Puzzle Game

The puzzle game we will be solving is called “The Magic Matrix”. The objective of the game is to transform a square matrix into a magic matrix by rearranging its elements in a specific way.

## The Magic Matrix Rules

A magic matrix is a square matrix where the sum of each row, column, and diagonal is the same. In our puzzle game, we are given a square matrix of size N x N, and our task is to rearrange its elements in such a way that it becomes a magic matrix.

## The Solution

To solve this puzzle game, we can use the following steps:

- Read the size of the matrix (N) from the input.
- Create an empty 2D list to store the matrix elements.
- Read the matrix elements from the input and populate the 2D list.
- Calculate the target sum for a magic matrix by summing up the elements of the first row.
- Check if the current matrix is already a magic matrix by comparing the sums of each row, column, and diagonal with the target sum.
- If the matrix is already a magic matrix, output “0” as the minimum number of operations required.
- Otherwise, iterate through each element in the matrix and find the minimum number of operations required to make it equal to the target sum.
- Output the minimum number of operations required.

## Python Implementation

Here is the Python implementation of the puzzle game solution:

# Read the size of the matrix

N = int(input())

# Create an empty 2D list

matrix = []

# Read the matrix elements

for _ in range(N):

row = list(map(int, input().split()))

matrix.append(row)

# Calculate the target sum

target_sum = sum(matrix[0])

# Check if the matrix is already a magic matrix

is_magic_matrix = True

for i in range(N):

if sum(matrix[i]) != target_sum:

is_magic_matrix = False

break

if is_magic_matrix:

print("0")

else:

operations = 0

for i in range(N):

for j in range(N):

operations += abs(matrix[i][j] - target_sum)

print(operations)

## Conclusion

In this article, we discussed a puzzle game solution in Python for Codechef. The game involved transforming a square matrix into a magic matrix by rearranging its elements. By following the provided steps and implementing the Python code, you can solve this puzzle game efficiently and improve your programming skills.