func_code_string: #include <bits/stdc++.h>   using namespace std;   using ll = long long;   using vi = vector<int>;   using ii = pair<int, int>;   template <typename A, typename B>   ostream& operator<<(ostream& os, pair<A, B> p) {     return os <<  {  << p.first <<  ,   << p.second <<  } ;   }   const int oo = 0x3f3f3f3f;   const ll OO = ll(oo) * oo;   const ll M = 1e9 + 9;   ll p2[100005];   int main() {     ios_base::sync_with_stdio(false);     cin.tie(0);     cout.tie(0);     int n;     cin >> n;     int m;     cin >> m;     ll k = 1;     for (int i = 0; i < m + 1; i++) {       p2[i] = k;       k <<= 1ll;       k %= M;     }     ll ans = 1;     for (int i = 0; i < n; i++) {       if (p2[m] - i - 1 <= 0) {         cout << 0 << endl;         return 0;       }       ans *= (p2[m] - i - 1) % M;       ans %= M;     }     cout << ans << endl;     return 0;   }   