#include #include #include #include using namespace std; typedef long long ll; typedef pair P; typedef pair T; typedef pair Ps; long long int INF = 2e18; const ll fact_table = 3200008; double Pi = 3.1415926535897932384626; priority_queue pql; priority_queue

pqp; priority_queue

bag; //big priority queue priority_queue ,greater > pqls; priority_queue ,greater

> pqps; //small priority queue //top pop ll dx[8]={1,0,-1,0,1,1,-1,-1}; ll dy[8]={0,1,0,-1,1,-1,-1,1}; char dir[] = "DRUL"; //↓,→,↑,← #define endl "\n" #ifdef ENJAPMA #undef endl #endif #define p(x) cout<>=1;}(x*=a)%=mod;b--;}return x;} void YES(bool cond){ if(cond){ p("YES");}else{ p("NO");} return;} void Yes(bool cond){ if(cond){ p("Yes");}else{ p("No");} return;} namespace NTT { void DFT(ll m, ll root, vector &a, bool rev = false) { long double start = timer.get(); ll N = a.size(), h = 0; for (ll i = 0; 1 << i < N; i++) h++; for (ll i = 0; i < N; i++) { ll j = 0; for (ll k = 0; k < h; k++) j |= (i >> k & 1) << (h - 1 - k); if (i < j) swap(a[i], a[j]); } long double end = timer.get(); timers[0] += end - start; if (rev) root = mypow(root, mod - 2, mod); for (ll i = 1; i < N; i *= 2) { ll tmp = i * 2; ll base = mypow(root, (mod - 1) / tmp, mod); ll w = 1; for (ll j = 0; j < i; j++) { for (ll k = j; k + i < N; k += tmp) { ll s = a[k], t = a[k+i] * w % mod; a[k] = (s + t) % mod; a[k+i] = (s - t + mod) % mod; } (w *= base) %= mod; } } long double end2 = timer.get(); timers[1] += end2 - end; if (rev) { ll tmp = mypow(N, mod-2, mod); for(ll &v : a) v = v * tmp % mod; } long double end3 = timer.get(); timers[2] += end3 - end2; } //(1012924417, 5), (924844033, 5) vector conv(ll _mod, ll root, const vector &a, const vector &b) { ll s = 1, t = a.size() + b.size() - 1; while(s < t) s <<= 1; vector F(s), G(s); ll aa = (ll)a.size(), bb = (ll)b.size(); for(ll i = 0; i < aa; i++) F[i] = a[i]; for(ll i = 0; i < bb; i++) G[i] = b[i]; DFT(_mod, root, F); DFT(_mod, root, G); for(ll i = 0; i < s; i++) (F[i] *= G[i]) %= _mod; DFT(_mod, root, F, true); // pe(F.size());p(t); F.resize(t); return F; } }; // auto res = NTT::conv(mod, 3ll, atable, btable); /* ll fact[fact_table + 5],rfact[fact_table + 5]; void c3_init(){ fact[0] = rfact[0] = 1; for(ll i=1; i<=fact_table; i++){ fact[i] = (fact[i-1]*i) % mod; } rfact[fact_table] = mypow(fact[fact_table],mod - 2, mod); for(ll i=fact_table; i>=1; i--){ rfact[i-1] = rfact[i] * i; rfact[i-1] %= mod; } return;} ll c3(ll n,ll r){ return (((fact[n] * rfact[r]) % mod ) * rfact[n-r]) % mod;} */ bool multicase = false; ll n,m,num,a,b,c,d,e,h,q; ll w, k, ans; deque> G; vector v; void solve(){ cin >> n >> q; timer.reset(); for(ll i=0;i> a; a %= mod; if(a == 0)a += mod; G.pb({1, a-1}); } while(G.size() >= 2){ // 分割統治パート G.pb(NTT::conv(mod, 3ll, G[0], G[1])); G.pop_front(); G.pop_front(); } for(ll i=0;i> b; p(G[0][n-b]); } return; } int main(){ // init(); ios::sync_with_stdio(false); cin.tie(nullptr); ll q, testcase = 1; if(multicase){ cin >> q; }else{ q = 1; } while(q--){ // pu("Case ");pu("#");pu(testcase);pu(": "); solve(); testcase++; } // solve(); return 0; }