// {{{ Templates #include #define show(x) cerr << #x << " = " << x << endl using namespace std; using ll = long long; using pii = pair; using vi = vector; template ostream& operator<<(ostream& os, const vector& v) { os << "sz:" << v.size() << "\n["; for (const auto& p : v) { os << p << ","; } os << "]\n"; return os; } template ostream& operator<<(ostream& os, const pair& p) { os << "(" << p.first << "," << p.second << ")"; return os; } constexpr ll MOD = (ll)1e9 + 7LL; template constexpr T INF = numeric_limits::max() / 100; // }}} int main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; ll X; cin >> X; X++; if (N > (ll)log2(X)) { cout << 0 << endl; return 0; } vector divs; for (ll i = 1; i * i <= X; i++) { if (X % i == 0) { if (i * i != X) { if (i != 1) { divs.push_back(i); } divs.push_back(X / i); } else { divs.push_back(i); } } } sort(divs.begin(), divs.end()); unordered_map zip; divs.erase(unique(divs.begin(), divs.end()), divs.end()); for (int i = 0; i < divs.size(); i++) { zip[divs[i]] = i; } // show(divs); const int size = divs.size(); // show(size); vector>> dp(N, vector>(size, vector(size, 0))); // n個で積がXでn個目がY である集合の個数 vector>> sum(N, vector>(size, vector(size, 0))); // n個で積がXでn個目がY以下である集合の個数 for (int x = 0; x < size; x++) { for (int y = 0; y < size; y++) { dp[0][x][y] = (x == y) ? 1 : 0; if (y == 0) { sum[0][x][0] = (x == 0) ? 1 : 0; } else { sum[0][x][y] = sum[0][x][y - 1] + dp[0][x][y]; } } } for (int i = 1; i < N; i++) { for (int x = 0; x < size; x++) { for (int y = 0; y < size; y++) { if (y < x and divs[x] % divs[y] == 0) { dp[i][x][y] = sum[i - 1][zip[divs[x] / divs[y]]][y]; } if (y == 0) { sum[i][x][y] = dp[i][x][y]; } else { sum[i][x][y] = sum[i][x][y - 1] + dp[i][x][y]; } } } } cout << sum[N - 1][size - 1][size - 1] << endl; return 0; }