#include using namespace std; using VS = vector; using LL = long long; using VI = vector; using VVI = vector; using PII = pair; using PLL = pair; using VL = vector; using VVL = vector; #define ALL(a) begin((a)),end((a)) #define RALL(a) (a).rbegin(), (a).rend() #define SZ(a) int((a).size()) #define SORT(c) sort(ALL((c))) #define RSORT(c) sort(RALL((c))) #define UNIQ(c) (c).erase(unique(ALL((c))), end((c))) #define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++) #define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--) #define debug(x) cerr << #x << ": " << x << endl const int INF = 1e9; const LL LINF = 1e16; const LL MOD = 1000000007; const double PI = acos(-1.0); int DX[8] = { 0, 0, 1, -1, 1, 1, -1, -1 }; int DY[8] = { 1, -1, 0, 0, 1, -1, 1, -1 }; /* ----- 2018/07/30 Problem: yukicoder 181 / Link: http://yukicoder.me/problems/no/181 ----- */ /* ------問題------ -----問題ここまで----- */ /* -----解説等----- ----解説ここまで---- */ VI euler; void get_euler_phi(int n) { euler = VI(n + 1); for (int i = 0; i <= n; i++) { euler[i] = i; } for (int i = 2; i <= n; i++) { if (euler[i] == i) { for (int j = i; j <= n; j += i) { euler[j] = euler[j] / i * (i - 1); } } } } long long powmod(long long x, long long n, long long mod) { long long res = 1; while (n > 0) { if (n & 1) { res = (res*x) % mod; } x = (x*x) % mod; n >>= 1; } return res; } LL g(LL A, LL N) { // A^^N if (A == 1 || N == 0)return 1; if (N == 1)return A; if (N == 2)return A*A; return INF; } LL f(LL a, LL n, LL m) {// A^^N mod m if (m == 1)return 0; if (n == 0)return 1; if (g(a, n - 1) < euler[m]) { return powmod(a, f(a, n - 1, euler[m]), m); } else { return powmod(a, f(a, n - 1, euler[m]) + euler[m], m); } } int main() { cin.tie(0); ios_base::sync_with_stdio(false); LL A, N, M; cin >> A >> N >> M; get_euler_phi(M + 1); LL ans = f(A, N, M); cout << ans << "\n"; return 0; }