// yukicoder: No.181 A↑↑N mod M // 2019.7.4 bal4u #include #include typedef long long ll; int powmod(int a, int p, int m) { int r = 1; while (p) { if (p & 1) r = (ll)r * a % m; a = (ll)a * a % m; p >>= 1; } return r; } int t[2005]; int period(int a, int m) { int i, x; memset(t, 0, sizeof(t)); t[0] = 0, x = 1; for (i = 1; ; i++) { x = (ll)x * a % m; if (t[x]) break; t[x] = i; } return i-t[x]; } int calc(int a, int n, int m) { int r, k = 2001; int t = period(a, m); if (t == 1) return powmod(a, k, m); r = (calc(a, n-1, t) - k) % t; if (r < 0) r += t; return powmod(a, k+r, m); } int main() { int A, N, M, ans; scanf("%d%d%d", &A, &N, &M); if (M == 1) ans = 0; else if (N == 0) ans = 1; else if (A == 1) ans = 1; else if (A % M == 0) ans = 0; else if (N == 1) ans = powmod(A, 1, M); else if (N == 2) ans = powmod(A, A, M); else if (A == 2 && N <= 4) ans = powmod(A, N == 4? 16: 4, M); else ans = calc(A, N, M); printf("%d\n", ans); return 0; }