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 } func modpow(a, p, m int) int { if a == 0 { return 0 } if p == 0 { return 1 } if p%2 == 0 { tmp := modpow(a, p/2, m) return tmp * tmp % m } return a * modpow(a, p-1, m) % m } const Mmax = 2000 var phi [Mmax + 20]int func AtoB(a, b, upbound int) int { if b == 0 || a == 1 { return min(upbound, 1) } if b == 1 { return min(upbound, a) } if b == 2 { if a > 10 { return upbound } return min(modpow(a, a, 1<<60), upbound) } if a == 2 && b == 3 { return min(upbound, 1<<4) } if a == 3 && b == 3 { return min(upbound, modpow(3, 27, 1<<60)) } if a == 2 && b == 4 { return min(upbound, 1<<16) } return upbound } func H4M(a, b, m int) int { if m == 1 { return 0 } if a == 1 || b == 0 { return 1 } t := AtoB(a, b-1, m+1) if t <= m { return modpow(a, t, m) } return modpow(a, m+(H4M(a, b-1, phi[m])-m)%phi[m], m) } // GCD : greatest common divisor (GCD) via Euclidean algorithm func GCD(a, b int) int { for b != 0 { t := b b = a % b a = t } return a } func GetPhi() { for x := 1; x <= Mmax; x++ { for i := 1; i <= x; i++ { if GCD(i, x) == 1 { phi[x]++ } } } } func main() { sc.Split(bufio.ScanWords) A, N, M := getInt(), getInt(), getInt() GetPhi() out(H4M(A, N, M)) }