package main import ( "fmt" "math/bits" ) func main() { var n int fmt.Scanf("%d", &n) for i := 0; i < n; i++ { var x uint64 fmt.Scanf("%d", &x) if isPrime(x) { fmt.Printf("%d 1\n", x) } else { fmt.Printf("%d 0\n", x) } } } func modMul(a, b, m uint64) uint64 { h, l := bits.Mul64(a, b) _, rem := bits.Div64(h, l, m) return rem } func modPow(x, y, m uint64) uint64 { res := uint64(1) for y > 0 { if y&1 != 0 { res = modMul(res, x, m) } x = modMul(x, x, m) y >>= 1 } return res } func isPrime(x uint64) bool { if x <= 1 { return false } if x == 2 { return true } if x%2 == 0 { return false } s := bits.TrailingZeros64(x - 1) d := (x - 1) >> s for _, a := range []uint64{2, 325, 9375, 28178, 450775, 9780504, 1795265022} { if a%x == 0 { continue } t := modPow(a, d, x) if t == 1 || t == x-1 { continue } for i := 1; t != x-1; i++ { if i >= s { return false } t = modMul(t, t, x) } } return true }