How to find the number of squares in an N*N grid with Node.js

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/*
Total squares in a 3 * 3 grid are 14

1x1 squares = 9 Squares
2x2 squares = 4 Squares
3x3 squares = 1 Squares
*/

// Function to calculate the total number of squares in an N x N grid
function countSquaresInNxNGrid(N) {
    // Formula: Total Squares = N * (N + 1) * (2N + 1) / 6
    return (N * (N + 1) * (2 * N + 1)) / 6;
}

// Main function to run the logic
function main() {
    const N = 3;

    // Validate input
    if (N <= 0) {
        console.error("Grid size must be a positive integer!");
        process.exit(1); // Exit with error code
    }

    // Calculate and display the total number of squares
    const totalSquares = countSquaresInNxNGrid(N);
    console.log(`The total number of squares in a ${N}x${N} grid is: ${totalSquares}`);
}

main();



/*
run:

The total number of squares in a 3x3 grid is: 14

*/

 



answered Aug 31, 2025 by avibootz
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