// 0009.go contains some functions to solve ProjectEuler.net's Problem #9
// https://projecteuler.net/problem=9
package main

import (
	"fmt"
	"math"
)

// Pythagorean triplet returns the pythagorean a, b, c given the sum of a, b, c.
// If the combination does not exist, the result is -1, -1, -1
func PythagoreanTriplet(sum int) (int, int, int) {
	// Initialise variables
	var a2b2, c float64

	for i := 1; i <= sum; i++ {
		for j := 1; j <= sum; j++ {
			a2b2 = float64(i*i + j*j)
			c = math.Sqrt(a2b2)

			if c == math.Trunc(c) && i+j+int(c) == sum {
				// Combination found, return results
				return i,j,int(c)
			}
		}
	}
	// Nothing found
	return -1, -1, -1
}

func main(){
	// Get result
	a,b,c := PythagoreanTriplet(1000)
	fmt.Println(a*b*c)
}