/*
Total squares in a 3 * 3 grid are 14
1x1 squares = 9 Squares
2x2 squares = 4 Squares
3x3 squares = 1 Squares
*/
import Foundation
// Function to calculate the total number of squares in an N x N grid
func countSquaresInNxNGrid(_ n: Int) -> Int {
// Formula: Total Squares = N * (N + 1) * (2N + 1) / 6
return (n * (n + 1) * (2 * n + 1)) / 6
}
let n = 3
// Validate input
guard n > 0 else {
print("Grid size must be a positive integer!")
exit(1) // Exit with error code
}
// Calculate and display the total number of squares
let totalSquares = countSquaresInNxNGrid(n)
print("The total number of squares in a \(n)x\(n) grid is: \(totalSquares)")
/*
run:
The total number of squares in a 3x3 grid is: 14
*/
