package main import ( "bufio" "fmt" "os" "sort" "strconv" ) func out(x ...interface{}) { fmt.Println(x...) } var sc = bufio.NewScanner(os.Stdin) func getInt() int { sc.Scan() i, e := strconv.Atoi(sc.Text()) if e != nil { panic(e) } return i } func getInts(N int) []int { ret := make([]int, N) for i := 0; i < N; i++ { ret[i] = getInt() } return ret } func getString() string { sc.Scan() return sc.Text() } // min, max, asub, absなど基本関数 func max(a, b int) int { if a > b { return a } return b } func min(a, b int) int { if a < b { return a } return b } func asub(a, b int) int { if a > b { return a - b } return b - a } func abs(a int) int { if a >= 0 { return a } return -a } func lowerBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] >= x }) return idx } func upperBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] > x }) return idx } // 逆元を使った割り算(MOD) // mod. m での a の逆元 a^{-1} を計算する func modinv(a, m int) int { b := m u := 1 v := 0 for b != 0 { t := a / b a -= t * b a, b = b, a u -= t * v u, v = v, u } u %= m if u < 0 { u += m } return u } func check(n int) bool { for i := 2; i*i <= n; i++ { if n%i == 0 { return true } } return false } func main() { sc.Split(bufio.ScanWords) T := getInt() for i := 0; i < T; i++ { n, m := getInt(), getInt() if m <= n { out(0) continue } if n < 100000 { x := 1 % m for i := 1; i <= n; i++ { x *= i x %= m } out(x) continue } if check(m) { out(0) continue } x := m - 1 for i := m - 2; i >= n; i-- { x *= modinv(i+1, m) x %= m } out(x) } }