Question

How to find the number of squares in an N*N grid with Kotlin

Answer 1

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

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

fun countSquaresInNxNGrid(n: Int): Int {
    // Formula: Total Squares = N * (N + 1) * (2N + 1) / 6
    return (n * (n + 1) * (2 * n + 1)) / 6
}

fun main() {
    val n = 3

    // Validate input
    if (n <= 0) {
        println("Grid size must be a positive integer!")
        return
    }

    // Calculate and display the total number of squares
    val totalSquares = countSquaresInNxNGrid(n)
    println("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

*/

 

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