#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; typedef long long int ll; typedef pair P; const ll MOD=1e9+7; ll powmod(ll a, ll k){ ll ap=a, ans=1; while(k){ if(k&1){ ans*=ap; ans%=MOD; } ap=ap*ap; ap%=MOD; k>>=1; } return ans; } ll inv(ll a){ return powmod(a, MOD-2); } ll f[1500001], invf[1500001]; void fac(int n){ f[0]=1; for(ll i=1; i<=n; i++) f[i]=f[i-1]*i%MOD; invf[n]=inv(f[n]); for(ll i=n-1; i>=0; i--) invf[i]=invf[i+1]*(i+1)%MOD; } ll comb(int x, int y){ if(x>n>>B; for(int i=0; i>s; c[s]++; } int s=0; fac(n); for(int i=n-1; i>=0; i--){ if(c[i]==0){ a[i]=0, b[i]=1; continue; } ll x=f[s+c[i]]*invf[s]%MOD; if(s==0) b[i]=0; else b[i]=f[s+c[i]-1]*invf[s-1]%MOD; a[i]=(x-b[i]+MOD)%MOD; s+=c[i]; } ll p=B; ll d[200020]; ll p1[200020], p2[200020]; for(int i=0; i=0; i--){ p2[i]=p2[i+1]*d[i]%MOD; } ll ans=0; for(int i=0; i