#include #include using namespace std; using ll = long long; using vv = vector>; constexpr ll MOD = 1e9 + 7; vv E(int n) { vv res(n, vector(n)); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) res[i][j] = (i == j); return res; } vv matprod(vv A, vv B) { int l = A.size(), m = B.size(), n = B[0].size(); vv res(l, vector(n, 0)); for (int i = 0; i < l; i++) for (int j = 0; j < n; j++) for (int k = 0; k < m; k++) res[i][j] = (res[i][j] + A[i][k] * B[k][j]) % MOD; return res; } vv matpow(vv A, ll n) { vv p = A, res = E(A.size()); while (n > 0) { if (n & 1) res = matprod(res, p); p = matprod(p, p); n >>= 1; } return res; } int main() { ll m, k; cin >> m >> k; vv a(m, vector(1)); for (int i = 0; i < m; i++) a[i][0] = (i == 0); vv tran(m, vector(m, 0)); for (int i = 0; i < m; i++) for (int t = 0; t < m; t++) { tran[(i + t) % m][i]++; tran[(i * t) % m][i]++; } tran = matpow(tran, k); a = matprod(tran, a); cout << a[0][0] << endl; return 0; }