#include #include #include #include #include #include #include #include #include #include using namespace std; long long gcd(long long a, long long b){ if(b==0) return a; return gcd(b, a%b); } long long lcm(long long a, long long b){ if(a1){ ret = lcm(ret, a-1); } return ret; } int carmichaelLambda(int n) { int ans = 1; if (n % 8 == 0) n /= 2; for (int d = 2; d <= n; ++d) { if (n % d == 0) { int y = d - 1; n /= d; while (n % d == 0) n /= d, y *= d; ans = lcm(ans, y); } } return ans; } long long mypow(long long x, long long y, long long MOD){ if(x==0 && y!=0) return 0; long long ret=1LL; while(y>0LL){ if(y&1LL) ret = (ret * x) % MOD; x = (x*x) % MOD; y >>= 1LL; } return ret; } pair hoge(long long x, long long m){ int u=0, v=0; long long g = gcd(x,m); while(g != 1){ m /= g; u++; g = gcd(x,m); } long long l = CarmichaelFunction(m); v = l; return {u,v}; } pair func(long long A, long long M){ int u=0,v=0; vector memo(M+1, -1); for(long long i=0, val=1; i= 0){ u = memo[val]; v = i - memo[val]; break; } memo[val] = i; } cout << mypow(A, v, M) << endl; return {u,v}; } // A^A^A...^A > u bool greater__(long long A, long long N, long long u){ if(u==0) return true; if(A==1) return A > u; double val = 1; for(int i=0; iu) return true; val = pow(1.0*A, val); } return false; } long long tetoration(long long A, long long N){ long long ret = 1; while(N){ ret = mypow(A, ret, 1LL<<50); N--; } return ret; } ostream& operator <<(ostream& os, pair& p){ os << p.first << " " << p.second; return os; } long long dfs(long long A, long long N, long long u, long long M){ if(A==0) return 0; if(N==0){ return 1%M; } if(M==1){ return 0; } if(A%M == 0){ return 0; } //auto x = func(A%M,M); auto x = hoge(A%M,M); bool g = greater__(A,N-1, x.first); if(g==false){ return mypow(A, tetoration(A,N-1) , M); } long long ret = dfs(A, N-1, x.first, x.second) - x.first + x.second*1000; ret = mypow(A, ret, M); ret = ret * mypow(A, x.first, M) % M; return ret%M; } int main(){ long long A,N,M; cin >> A >> N >> M; if(M==1){ cout << 0 << endl; return 0; } if(N==0){ cout << 1 << endl; return 0; } if(A==1){ cout << 1 << endl; return 0; } long long ans = dfs(A, N, 0, M); cout << ans << endl; return 0; }