#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } vector isprime; vector primes; void sieve(int n){ if((int)isprime.size() >= n+1) return; isprime.assign(n+1, true); isprime[0] = isprime[1] = false; int sqrtn = (int)(sqrt(n * 1.) + .5); for(int i = 2; i <= sqrtn; i ++) if(isprime[i]) { for(int j = i * i; j <= n; j += i) isprime[j] = false; } primes.clear(); for(int i = 2; i <= n; i ++) if(isprime[i]) primes.push_back(i); } typedef unsigned long long ull; unsigned red(ull x, unsigned m) { return x >= m ? (unsigned)(x - m) : (unsigned)x; } ull mulMod(ull x, ull y, unsigned m) { if(x > y) swap(x, y); unsigned z = (ull)red(x, m) * red(y, m) % m; if(x != 0 && (y >= m || x * y >= m)) return (ull)m + z; else return z; } ull powMod(ull x, ull y, unsigned m) { ull r = 1, a = x; while(y > 0) { if(y & 1) r = mulMod(r, a, m); a = mulMod(a, a, m); y >>= 1; } return r; } unsigned phi(unsigned n) { unsigned res = n; each(pi, primes) { int p = *pi; if((ll)p * p > n) break; if(n % p == 0) { for(n /= p; n % p == 0; ) n /= p; res -= res / p; } } if(n > 1) res -= res / n; return res; } ull toMod(unsigned x, unsigned m) { if(x >= m) return (ull)m + x % m; else return x; } int main() { sieve(1 << 16); int T = 1; rep(ii, T) { unsigned X, N, M; scanf("%u%u%u", &X, &N, &M); vector orders; orders.push_back(M); while(orders.back() > 1) { unsigned p = phi(orders.back()); orders.push_back(p); } unsigned K = (unsigned)orders.size(); ull r = X == 0 && K < N && (N - K) % 2 != 0 ? 0 : 1; for(int i = min(K, N); i > 0; -- i) { unsigned m = orders[i - 1]; r = powMod(toMod(X, m), r, m); } unsigned ans = red(r, M); printf("%u\n", ans); } return 0; }