#include using namespace std; using Int = long long; //BEGIN CUT HERE template struct Mod{ Int prev=0; vector fact,inv,finv; Mod(){} Mod(Int n){init(n);} Int pow(Int x,Int n){ Int res=1; while(n){ if(n&1) (res*=x)%=MOD; (x*=x)%=MOD; n>>=1; } return res; } Int inverse(Int a){ return pow(a,MOD-2); } void init(Int n){ if(prev>=n) return; prev=n; fact=inv=finv=vector(n); fact[0]=1; for(Int i=1;in) return 0; return fact[n]*finv[k]%MOD*finv[n-k]%MOD; } Int P(int n,int k){ if(k<0||k>n) return 0; return fact[n]*finv[n-k]%MOD; } Int H(Int n,Int k){ return C(n+k-1,n); } Int S(Int n,Int k){ Int res=0; for(Int i=1;i<=k;i++){ Int tmp=C(k,i)*pow(i,n)%MOD; if((k-i)&1) res+=MOD-tmp; else res+=tmp; res%=MOD; } res=res*finv[k]%MOD; return res; } Int B(Int n,Int k){ Int res=0; for(Int j=1;j<=k;j++){ res+=S(n,j); res%=MOD; } return res; } vector > D(Int n,Int m){ vector > dp(n+1,vector(m+1,0)); dp[0][0]=1; for(Int i=0;i<=n;i++){ for(Int j=1;j<=m;j++){ if(i-j>=0) dp[i][j]=(dp[i][j-1]+dp[i-j][j])%MOD; else dp[i][j]=dp[i][j-1]; } } return dp; } Int montmort(Int n){ Int res=0,rinv=1; for(Int k=2;k<=n;k++){ rinv=rinv*inverse(k)%MOD; if(k%2) res+=MOD-rinv; else res+=rinv; res%=MOD; } for(Int i=1;i<=n;i++) res=res*i%MOD; return res; } // calculate P(t) from given points in [0,N] Int LagrangePolynomial(vector &y,Int t){ Int n=y.size()-1; init(n+1); Int num=1; for(Int i=0;i<=n;i++) num=num*((t-i)%MOD)%MOD; Int res=0; for(Int i=0;i<=n;i++){ Int tmp=(y[i]*num%MOD)*inverse((t-i)%MOD)%MOD; tmp=tmp*finv[i]%MOD; tmp=tmp*finv[n-i]%MOD; if((n-i)&1) tmp=MOD-tmp; res=(res+tmp)%MOD; } return res; } }; //END CUT HERE //mod_pow signed AOJ_NTL1B(){ Int n,m; cin>>m>>n; Mod<> mod; cout<>n>>k; const Int MMOD = 1777777777; Mod mod; Int a=mod.montmort(k); a=a*mod.comb(n,k)%MMOD; cout<>n>>k; vector y(k+2,0); const Int MOD = 1e9+7; Mod mod; for(Int i=1;i<=k+1;i++) y[i]=(y[i-1]+mod.pow(i,k))%MOD; if(n<=k+1) cout<>n; vector y(n+1); for(Int i=0;i<=n;i++) cin>>y[i]; Int t; cin>>t; const Int MOD = 1e9+7; Mod mod; if(t<=n) cout<