#pragma GCC optimize("O3") #include using namespace std; using ll=long long; typedef unsigned long long int ull; typedef pair P; template using V=vector; #define fi first #define se second #define all(v) (v).begin(),(v).end() const ll inf=(1e18); //const ll mod=998244353; const ll mod=1000000007; //ios_base::sync_with_stdio(false); //cin.tie(NULL); ll gcd(ll a,ll b) {return b ? gcd(b,a%b):a;} struct __INIT{__INIT(){cin.tie(0);ios::sync_with_stdio(false);cout< bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } struct mint{ using ull=unsigned long long int; ull v; mint(ll vv=0){s(vv%mod+mod);} mint& s(ull vv){ v=vv>=1; } return res; } mint inv()const{return pow(mod-2);} //拡張ユークリッドの互除法 /* mint inv()const{ int x,y; int g=extgcd(v,mod,x,y); assert(g==1); if(x<0)x+=mod; return mint(x); }*/ friend ostream& operator<<(ostream&os,const mint&val){ return os<(const mint&val)const{return v>val.v;} }; const ll MAX = 2000010;//設定 mint fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void init(){ fac[0] = fac[1] = 1; for(int i=1;i=0;i--)finv[i]=finv[i+1]*(i+1); for(int i=MAX-2;i>=1;i--)inv[i]=finv[i]+fac[i-1]; } //階乗 mint factor(ll n,ll k){ if (n struct strling{ V> S; constexpr strling(int MAX) noexcept : S(MAX,V(MAX,0)){ S[0][0]=1; for(int n=1;n>n>>k; if(n