package main
import (
"fmt"
)
func main() {
// Define the total sum of the Pythagorean triplet (a + b + c = 1000)
sum := 1000
// Loop through possible values for 'a'
// We only check up to sum/3 because 'a' must be the smallest in the triplet
for a := 1; a <= sum/3; a++ {
// Loop through possible values for 'b', starting just above 'a'
// It goes only up to sum/2 to avoid redundancy and ensure 'b < c'
for b := a + 1; b <= sum/2; b++ {
// Calculate 'c' as the remaining value so that a + b + c = sum
c := sum - a - b
// Check if the triplet (a, b, c) satisfies the Pythagorean condition
// That is, a² + b² must equal c²
if a*a + b*b == c*c {
fmt.Printf("(%d^2 = %d) + (%d^2 = %d) = %d^2 = %d\n", a, a*a, b, b*b, c, c*c)
fmt.Printf("a = %d, b = %d, c = %d\n", a, b, c)
fmt.Printf("%d + %d + %d = %d\n", a, b, c, a+b+c)
}
}
}
}
/*
run:
(200^2 = 40000) + (375^2 = 140625) = 425^2 = 180625
a = 200, b = 375, c = 425
200 + 375 + 425 = 1000
*/
