package main
import (
"fmt"
"os"
)
/*
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
func countSquaresInNxNGrid(N int) int {
// Formula: Total Squares = N * (N + 1) * (2N + 1) / 6
return (N * (N + 1) * (2*N + 1)) / 6
}
func main() {
N := 3
// Validate input
if N <= 0 {
fmt.Println("Grid size must be a positive integer!")
os.Exit(1) // Exit with error code
}
// Calculate and display the total number of squares
totalSquares := countSquaresInNxNGrid(N)
fmt.Printf("The total number of squares in a %dx%d grid is: %d\n", N, N, totalSquares)
}
/*
run:
The total number of squares in a 3x3 grid is: 14
*/
