// Function to check if the matrix is a magic square
function isMagicSquare(matrix) {
const size = matrix.length;
let sumDiagonal1 = 0, sumDiagonal2 = 0;
// Calculate the sum of the primary diagonal
for (let i = 0; i < size; i++) {
sumDiagonal1 += matrix[i][i];
}
// Calculate the sum of the secondary diagonal
for (let 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 (let i = 0; i < size; i++) {
let sumRow = 0, sumCol = 0;
for (let 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;
}
const matrix = [
[8, 3, 4],
[1, 5, 9],
[6, 7, 2]
];
if (isMagicSquare(matrix)) {
console.log("The given matrix is a magic square.");
} else {
console.log("The given matrix is NOT a magic square.");
}
/*
run:
The given matrix is a magic square.
*/
