#include #include #include #include #include #define repeat(i,n) for (int i = 0; (i) < int(n); ++(i)) using ll = long long; using namespace std; struct sequence { vector data; int offset, cycle; }; sequence iterate(int a, function f) { sequence xs; map used; while (not used.count(a)) { used[a] = xs.data.size(); xs.data.push_back(a); a = f(a); } xs.offset = used[a]; xs.cycle = xs.data.size() - xs.offset; return xs; } int at(sequence const & xs, int i) { return xs.data[i < xs.offset ? i : (i - xs.offset) % xs.cycle + xs.offset]; } double tet(int a, int n) { double acc = 1; repeat (i,n) { acc = pow(a, acc); if (isinf(acc)) break; } return acc; } int tetmod(int a, int n, int m) { if (m == 1) return 0; if (n == 0) return 1; if (a == 0) return 0; if (a == 1) return 1; double estimated = tet(a, n-1); sequence powmod = iterate(1, [&](int x) { return a *(ll) x % m; }); ll b = tetmod(a, n-1, powmod.cycle); int i = estimated < powmod.offset ? estimated : ((b - powmod.offset) % powmod.cycle + powmod.cycle) % powmod.cycle + powmod.offset; return powmod.data[i]; } int main() { int a, n, m; cin >> a >> n >> m; cout << tetmod(a, n, m) << endl; return 0; }