/*
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: number): number {
// Formula: Total Squares = N * (N + 1) * (2N + 1) / 6
return (N * (N + 1) * (2 * N + 1)) / 6;
}
function main(): void {
const N: number = 3;
// Validate input
if (N <= 0) {
console.log("Grid size must be a positive integer!");
return;
}
// Calculate and display the total number of squares
const totalSquares: number = 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"
*/
