package diffsquares

import "math"

// SquareOfSums calculates the Square of the sums
// of the first 'num' natural numbers
func SquareOfSums(num int) int {
	ret := 0
	for num > 0 {
		ret += num
		num--
	}
	return int(math.Pow(float64(ret), 2))
}

// SumOfSquares calculates the Sum of the Squares
// of the first 'num' natural numbers
func SumOfSquares(num int) int {
	ret := 0
	for num > 0 {
		ret += int(math.Pow(float64(num), 2))
		num--
	}
	return ret
}

// Difference calculates the difference between
// The SquareOfSums and the SumOfSquares for the
// first 'num' natural numbers
func Difference(num int) int {
	return SquareOfSums(num) - SumOfSquares(num)
}