A Puzzle Game Codechef Solution In Python

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:

  1. Read the size of the matrix (N) from the input.
  2. Create an empty 2D list to store the matrix elements.
  3. Read the matrix elements from the input and populate the 2D list.
  4. Calculate the target sum for a magic matrix by summing up the elements of the first row.
  5. Check if the current matrix is already a magic matrix by comparing the sums of each row, column, and diagonal with the target sum.
  6. If the matrix is already a magic matrix, output “0” as the minimum number of operations required.
  7. Otherwise, iterate through each element in the matrix and find the minimum number of operations required to make it equal to the target sum.
  8. 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.

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