#include #define fi first #define se second #define rep(i,n) for(int i = 0; i < (n); ++i) #define rrep(i,n) for(int i = 1; i <= (n); ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) #define srep(i,s,t) for (int i = s; i < t; ++i) #define rng(a) a.begin(),a.end() #define rrng(a) a.rbegin(),a.rend() #define maxs(x,y) (x = max(x,y)) #define mins(x,y) (x = min(x,y)) #define isin(x,l,r) ((l) <= (x) && (x) < (r)) #define pb push_back #define eb emplace_back #define sz(x) (int)(x).size() #define pcnt __builtin_popcountll #define uni(x) x.erase(unique(rng(x)),x.end()) #define snuke srand((unsigned)clock()+(unsigned)time(NULL)); #define show(x) cout<<#x<<" = "< > #define bn(x) ((1< #define vv(T) v(v(T)) using namespace std; typedef long long int ll; typedef unsigned uint; typedef unsigned long long ull; typedef pair P; typedef tuple T; typedef vector vi; typedef vector vvi; typedef vector vl; typedef vector

vp; typedef vector vt; inline int getInt() { int x; scanf("%d",&x); return x;} templateinline istream& operator>>(istream&i,v(T)&v) {rep(j,sz(v))i>>v[j];return i;} templatestring join(const v(T)&v) {stringstream s;rep(i,sz(v))s<<' '<inline ostream& operator<<(ostream&o,const v(T)&v) {if(sz(v))o<inline istream& operator>>(istream&i,pair&v) {return i>>v.fi>>v.se;} templateinline ostream& operator<<(ostream&o,const pair&v) {return o<inline ll suma(const v(T)& a) { ll res(0); for (auto&& x : a) res += x; return res;} const double eps = 1e-10; const ll LINF = 1001002003004005006ll; const int INF = 1001001001; #define dame { puts("-1"); return 0;} #define yn {puts("Yes");}else{puts("No");} const int MX = 200005; // Mod int const int mod = 1000000007; // const int mod = 998244353; struct mint { ll x; mint():x(0){} mint(ll x):x((x%mod+mod)%mod){} // mint(ll x):x(x){} mint& fix() { x = (x%mod+mod)%mod; return *this;} mint operator-() const { return mint(0) - *this;} mint operator~() const { return mint(1) / *this;} mint& operator+=(const mint& a){ if((x+=a.x)>=mod) x-=mod; return *this;} mint& operator-=(const mint& a){ if((x+=mod-a.x)>=mod) x-=mod; return *this;} mint& operator*=(const mint& a){ (x*=a.x)%=mod; return *this;} mint& operator/=(const mint& a){ (x*=a.pow(mod-2).x)%=mod; return *this;} mint operator+(const mint& a)const{ return mint(*this) += a;} mint operator-(const mint& a)const{ return mint(*this) -= a;} mint operator*(const mint& a)const{ return mint(*this) *= a;} mint operator/(const mint& a)const{ return mint(*this) /= a;} mint pow(ll t) const { if(!t) return 1; mint res = pow(t/2); res *= res; return (t&1)?res*x:res; } bool operator<(const mint& a)const{ return x < a.x;} bool operator==(const mint& a)const{ return x == a.x;} }; mint ex(mint x, ll t) { return x.pow(t);} istream& operator>>(istream&i,mint&a){i>>a.x;return i;} ostream& operator<<(ostream&o,const mint&a){o< vm; struct comb { vm f, g; comb(){} comb(int mx):f(mx+1),g(mx+1) { f[0] = 1; rrep(i,mx) f[i] = f[i-1]*i; g[mx] = f[mx].pow(mod-2); for(int i=mx;i>0;i--) g[i-1] = g[i]*i; } mint operator()(int a, int b) { if (a < b) return 0; return f[a]*g[b]*g[a-b]; } }; // // Matrix struct mat { typedef mint TT; int h, w; vv(TT) d; mat(){} mat(int h, int w, TT v=0):h(h),w(w),d(h,vector(w,v)){} v(TT)& operator[] (int i) { return d[i];} const v(TT)& operator[] (int i) const { return d[i];} void fil(TT v=0) { rep(i,h)rep(j,w) d[i][j] = v;} void unit() { rep(i,h)rep(j,w) d[i][j] = (i==j);} mat operator+(const mat& a) const { // same size mat res(h,w); rep(i,h)rep(j,w) res[i][j] = d[i][j]+a[i][j]; return res; } mat operator-(const mat& a) const { // same size mat res(h,w); rep(i,h)rep(j,w) res[i][j] = d[i][j]-a[i][j]; return res; } mat operator*(const mat& a) const { // w = a.h mat res(h,a.w); rep(i,h)rep(k,w)rep(j,a.w) res[i][j] += d[i][k]*a[k][j]; return res; } mat power(ll a) { // h = w if (a == 0) { mat res(h,w); res.unit(); return res; } mat res = power(a/2); res = res*res; if (a&1) res = res*(*this); return res; } void pri() { rep(i,h) { cout << "|"; rep(j,w) cout << " " << d[i][j]; cout << " |" << endl; } cout<>n; mat d(6,6); rep(i,6) d[0][i] = mint(1)/6; rrep(i,5) d[i][i-1] = 1; d = d.power(n); mint ans = d[0][0]; cout<