#include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)< pii; typedef vector vi; typedef vector vll; const int M_MAX = 2010; // a^k(k>=0) mod mの周期を求める。 int cycle(int a, int m){ vector vis(m, -1); ll cur = 1; int res = -1; for(int i = 0;res==-1; ++i){ if(vis[cur] != -1)res = i - vis[cur]; else vis[cur] = i; cur = cur*a%m; } return res; } ll powMod(ll n, ll k, ll mod){ if(n==0)return 0; ll res = 1; while(k){ if(k&1)res=res*n%mod; n=n*n%mod; k>>=1; } return res; } const int MOD_MAX = 2016; vi preCalc; ll tetrationMod(int a, ll b, int m){ if(m == 1)return 0; if(b == 0)return 1; // a↑↑(b-1)がMOD_MAX未満 if(b - 1 < sz(preCalc)){ return powMod(a, preCalc[b - 1], m); } int c = cycle(a, m); ll after = tetrationMod(a, b - 1, c) - MOD_MAX; after %= c; if(after < 0)after += c; return powMod(a, MOD_MAX + after, m); } int main(){ int A, N, M; cin >> A >> N >> M; if(A == 1){ cout << 1 % M << endl; return 0; } preCalc.push_back(1); for(int i = 0; ; ++i){ ll x = 1; int ok = 1; rep(j, preCalc.back()){ x *= A; if(x >= MOD_MAX){ ok = 0; break; } } if(!ok)break; assert(x > preCalc.back()); preCalc.push_back((int)x); } cout << tetrationMod(A, N, M) << endl; }