package main import ( "bufio" "fmt" "os" "strconv" ) func configure(scanner *bufio.Scanner) { scanner.Split(bufio.ScanWords) scanner.Buffer(make([]byte, 1000005), 1000005) } func getNextString(scanner *bufio.Scanner) string { scanned := scanner.Scan() if !scanned { panic("scan failed") } return scanner.Text() } func getNextInt(scanner *bufio.Scanner) int { i, _ := strconv.Atoi(getNextString(scanner)) return i } func getNextInt64(scanner *bufio.Scanner) int64 { i, _ := strconv.ParseInt(getNextString(scanner), 10, 64) return i } func getNextFloat64(scanner *bufio.Scanner) float64 { i, _ := strconv.ParseFloat(getNextString(scanner), 64) return i } func main() { fp := os.Stdin wfp := os.Stdout extra := 0 if os.Getenv("I") == "IronMan" { fp, _ = os.Open(os.Getenv("END_GAME")) extra = 100 } scanner := bufio.NewScanner(fp) configure(scanner) writer := bufio.NewWriter(wfp) defer func() { r := recover() if r != nil { fmt.Fprintln(writer, r) } writer.Flush() }() solve(scanner, writer) for i := 0; i < extra; i++ { fmt.Fprintln(writer, "-----------------------------------") solve(scanner, writer) } } func solve(scanner *bufio.Scanner, writer *bufio.Writer) { t := getNextInt(scanner) for i := 0; i < t; i++ { testcase(scanner, writer) } } func testcase(scanner *bufio.Scanner, writer *bufio.Writer) { a := getNextInt64(scanner) p := getNextInt(scanner) var ans mint if isPrime(p) { m = mint(p) ans = 1 aa := mint(a).mod() for i := 1; i < p+1; i++ { ans.mulAs(aa.pow(mint(i))) } fmt.Fprintln(writer, ans) return } fmt.Fprintln(writer, -1) } func isPrime(p int) bool { for i := 2; i*i < p+1; i++ { if p%i == 0 { return false } } return true } var m mint type mint int64 func (mt mint) mod() mint { mt %= m if mt < 0 { return mt + m } return mt } func (mt mint) inv() mint { return mt.pow(mint(0).sub(2)) } func (mt mint) pow(n mint) mint { p := mint(1) for n > 0 { if n&1 == 1 { p.mulAs(mt) } mt.mulAs(mt) n >>= 1 } return p } func (mt mint) add(x mint) mint { return (mt + x).mod() } func (mt mint) sub(x mint) mint { return (mt - x).mod() } func (mt mint) mul(x mint) mint { return (mt * x).mod() } func (mt mint) div(x mint) mint { return mt.mul(x.inv()) } func (mt *mint) addAs(x mint) *mint { *mt = mt.add(x) return mt } func (mt *mint) subAs(x mint) *mint { *mt = mt.sub(x) return mt } func (mt *mint) mulAs(x mint) *mint { *mt = mt.mul(x) return mt } func (mt *mint) divAs(x mint) *mint { *mt = mt.div(x) return mt }