fun main() {
// Define the total sum of the Pythagorean triplet (a + b + c = 1000)
val 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 in 1..(sum / 3)) {
// 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 in (a + 1)..(sum / 2)) {
// Calculate 'c' as the remaining value so that a + b + c = sum
val 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) {
println("($a^2 = ${a * a}) + ($b^2 = ${b * b}) = $c^2 = ${c * c}")
println("a = $a, b = $b, c = $c")
println("$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
*/
