#include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; #define int long long typedef vector VI; typedef pair pii; typedef vector VP; typedef vector VS; typedef priority_queue PQ; templatebool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } templatebool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; } #define fore(i,a) for(auto &i:a) #define REP(i,n) for(int i=0;i, greater > q2; typedef vector mat; mat mul(mat &A, mat &B) { mat C(A.size(), VI(B[0].size())); REP(i, A.size()) { REP(k, B.size()) { REP(j, B[0].size()) { C[i][j] = (C[i][j] + (A[i][k] * B[k][j])); C[i][j] %= mod; } } } return C; } mat pow(mat A, int N) { mat B(A.size(), VI(A.size())); REP(i, A.size())B[i][i] = 1; while (N > 0) { if (N & 1)B = mul(A, B); A = mul(A, A); N /= 2; } return B; } signed main() { cin.tie(0); ios::sync_with_stdio(false); int M, K; cin >> M >> K; mat C(M, VI(M)); REP(i, M) { REP(j, M) { int cnt = 0; REP(k, M) { if ((i + k) % M == j)cnt++; if ((i * k) % M == j)cnt++; } C[i][j] = cnt; } } C = pow(C, K); mat A(1, VI(M, 0)); A[0][0] = 1; mat ans = mul(C, A); cout << ans[0][0] << endl; return 0; }