package main
import (
"fmt"
)
// Function to check if the matrix is a magic square
func isMagicSquare(matrix [][]int) bool {
size := len(matrix)
sumDiagonal1 := 0
sumDiagonal2 := 0
// Calculate the sum of the primary diagonal
for i := 0; i < size; i++ {
sumDiagonal1 += matrix[i][i]
}
// Calculate the sum of the secondary diagonal
for i := 0; i < size; i++ {
sumDiagonal2 += matrix[i][size-i-1]
}
// If the two diagonals don't have the same sum, it's not a magic square
if sumDiagonal1 != sumDiagonal2 {
return false
}
// Check sums of each row and column
for i := 0; i < size; i++ {
sumRow := 0
sumCol := 0
for j := 0; j < size; j++ {
sumRow += matrix[i][j] // Sum of the current row
sumCol += matrix[j][i] // Sum of the current column
}
// If any row or column sum is not equal to the diagonal sum, it's not a magic square
if sumRow != sumDiagonal1 || sumCol != sumDiagonal1 {
return false
}
}
// If all checks pass, it's a magic square
return true
}
func main() {
matrix := [][]int{
{8, 3, 4},
{1, 5, 9},
{6, 7, 2},
}
if isMagicSquare(matrix) {
fmt.Println("The given matrix is a magic square.")
} else {
fmt.Println("The given matrix is NOT a magic square.")
}
}
/*
run:
The given matrix is a magic square.
*/