#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using P = pair; ll MOD = 998244353; const ll MODx = 1000000007; const int INF = (1<<30)-1; const ll LINF = (1LL<<62LL)-1; const double EPS = (1e-10); P ar4[4] = {{0,1},{0,-1},{1,0},{-1,0}}; P ar8[8] = {{-1,-1},{-1,0},{-1,1},{0,-1},{0,1},{1,-1},{1,0},{1,1}}; template vector make_vector(size_t a, T b) { return vector(a, b); } template auto make_vector(size_t a, Ts... ts) { return vector(a, make_vector(ts...)); } /* 確認ポイント cout << fixed << setprecision(n) << 小数計算//n桁の小数表記になる 計算量は変わらないが楽できるシリーズ min(max)_element(iter,iter)で一番小さい(大きい)値のポインタが帰ってくる count(iter,iter,int)でintがiterからiterの間にいくつあったかを取得できる */ /* function corner below */ /* Function corner above */ /* comment outed because can cause bugs __attribute__((constructor)) void initial() { cin.tie(0); ios::sync_with_stdio(false); } */ long long modadd(long long A, long long B){ return (A+B)%MOD; } long long modsub(long long A, long long B){ return ((A-B)%MOD+MOD)%MOD; } long long modmul(long long A, long long B){ return (A*B)%MOD; } long long modpow(long long A, long long B){ long long ret = 1; long long nw = A; while(B){ if(B%2 == 1){ ret = modmul(ret, nw); } B/=2; nw = modmul(nw, nw); } return ret; } long long modinv(long long A){ return modpow(A, MOD-2); } long long moddiv(long long A, long long B){ return modmul(A, modinv(B)); } int main(){ map ind; long long a,n;cin>>a>>n>>MOD; if(n == 0){ cout << 1 << endl; return 0; }else if(n == 1){ cout << a << endl; return 0; }n--; long long cur = a%MOD; int index = 1; ind[cur] = index++; cur = modpow(a, cur); vector z = {cur}; while(!ind[cur]){ n--; if(n == 0){ cout << cur << endl; return 0; } ind[cur] = index++; cur = modpow(a, cur); z.push_back(cur); } //cout << ind[cur] << " " << index << endl; long long nex = n%(index-ind[cur]); cout << z[ind[cur]-1+nex] << endl; return 0; }