#include #define pb push_back #define SZ(x) ((int)(x).size()) #define rep(i,a,n) for (int i=a;i VI; const ll mod=1E9+7; ll powmod(ll a,ll b){ll res=1;a%=mod;for(;b;b>>=1){if(b&1)res=res*a%mod;a=a*a%mod;}return res;} namespace nico{ const int N=10010; ll res[N],base[N],_c[N],_md[N]; vector Md; void mul(ll *a,ll *b,LL k){ rep(i,0,k+k) _c[i]=0; rep(i,0,k) if (a[i]) rep(j,0,k) _c[i+j]=(_c[i+j]+a[i]*b[j])%mod; for (LL i=k+k-1;i>=k;i--) if (_c[i]) rep(j,0,SZ(Md)) _c[i-k+Md[j]]=(_c[i-k+Md[j]]-_c[i]*_md[Md[j]])%mod; rep(i,0,k) a[i]=_c[i]; } LL solve(ll n,VI a,VI b){ ll ans=0,pnt=0; LL k=SZ(a); assert(SZ(a)==SZ(b)); rep(i,0,k) _md[k-1-i]=-a[i];_md[k]=1; Md.clear(); rep(i,0,k) if (_md[i]!=0) Md.push_back(i); rep(i,0,k) res[i]=base[i]=0; res[0]=1; while ((1ll<=0;p--){ mul(res,res,k); if ((n>>p)&1){ for (LL i=k-1;i>=0;i--) res[i+1]=res[i];res[0]=0; rep(j,0,SZ(Md)) res[Md[j]]=(res[Md[j]]-res[k]*_md[Md[j]])%mod; } } rep(i,0,k) ans=(ans+res[i]*b[i])%mod; if (ans<0) ans+=mod; return ans; } VI BM(VI s){ VI C(1,1),B(1,1); LL L=0,m=1,b=1; rep(n,0,SZ(s)){ ll d=0; rep(i,0,L+1) d=(d+(ll)C[i]*s[n-i])%mod; if (d==0) ++m; else if (2*L<=n){ VI T=C; ll c=mod-d*powmod(b,mod-2)%mod; while (SZ(C) a({2, 5, 22, 75, 264, 941, 3286, 11623, 40960, 144267, 508812, 1792981, 6319994, 22277291, 78518760, 276763545ll, 975517878ll, 3438444583ll, 12119670866ll, 42718700667ll, 150572583140ll, 530730064095ll, 1870688029160ll, 6593699432859ll, 23241110692298ll, 81918995835971ll, 288743600016544ll, 1017747647730855ll, 3587301266941940ll, 12644323361314601ll, 44568019595356576ll}); LL n; cin >> n; cout << nico::gao(a, n - 1) << endl; return 0; }