#include using namespace atcoder; #include #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define fin(a) {pt(a);return 0;} using namespace std; using ll=long long; using ld=long double; using pll=pair; templateT popcnt(T a){return __builtin_popcountll(a);} templateusing ascending_priority_queue=priority_queue,greater>; templateusing descending_priority_queue=priority_queue; templatebool chmax(T&a,const T&b){if(abool chmin(T&a,const T&b){if(bT max(vector&vec,const T&id){T r=id;for(auto&v:vec)chmax(r,max(v,id));return r;} templateT min(vector&vec,const T&id){T r=id;for(auto&v:vec)chmin(r,min(v,id));return r;} istream&operator>>(istream&is,modint1000000007&x){unsigned int t;is>>t;x=t;return is;} istream&operator>>(istream&is,modint998244353&x){unsigned int t;is>>t;x=t;return is;} istream&operator>>(istream&is,modint&x){unsigned int t;is>>t;x=t;return is;} ostream&operator<<(ostream&os,const modint1000000007&x){os<istream&operator>>(istream&is,pair&p){is>>p.first>>p.second;return is;} templateostream&operator<<(ostream&os,const pair&p){os<istream&operator>>(istream&is,vector&v){for(T&x:v)is>>x;return is;} templateostream&operator<<(ostream&os,const vector&v){for(int i=0;i<(int)v.size();i++){os<void pt_rest(){cout<<'\n';} templatevoid pt(){cout<<'\n';} templatevoid pt_rest(const T&first,const A&...rest){cout<<" "<void pt(const T&first,const A&...rest){cout<void resize(vector&vec,const H head){vec.resize(head);} templatevoid resize(vector&vec,const H&head,const T...tail){vec.resize(head);for(auto&v:vec)resize(v,tail...);} templatevoid fill(V&x,const T&val){x=val;} templatevoid fill(vector&vec,const T&val){for(auto&v:vec)fill(v,val);} templatevoid vin(istream&is,const int idx,vector&head){is>>head[idx];} templatevoid vin(istream&is,const int idx,vector&head,T&...tail){vin(is>>head[idx],idx,tail...);} templatevoid vin(istream&is,vector&head,T&...tail){for(int i=0;i<(int)head.size();i++)vin(is,i,head,tail...);} templatevoid vin(vector&head,T&...tail){vin(cin,head,tail...);} void divisor(ll n,map&div){for(ll i=1;i*i<=n;i++)if(n%i==0){div[i]++;div[n/i]++;}} void factrization(ll n,map&fact){for(ll i=2;i*i<=n;i++)while(n%i==0){fact[i]++;n/=i;}if(n>1)fact[n]++;} ll lsqrt(ll x){ll r=sqrt(x)-1;while((r+1)<=x/(r+1))r++;return r;}; ll inf=ll(1e18)+7; ld pi=acos(-1); ld eps=1e-10; using v1=vector; using v2=vector; using v3=vector; using v4=vector; using S=ll; S op(S a,S b){return a+b;} S e(){return 0;} using mint=modint1000000007; using T=mint; using mat=vector>; using vec=vector; mat mul(mat&A,mat&B){ ll n=A.size(); ll m=B[0].size(); ll l=B.size(); mat C(n,vec(m)); for(ll i=0;i>=1; } return res; } mat transpose(mat&A){ ll n=A.size(); ll m=A[0].size(); mat B(m,vec(n)); for(ll i=0;i>N; mat A={{0,1,1,0,0,0,0,0}, {0,0,0,1,0,0,0,0}, {1,0,0,0,0,0,0,0}, {0,0,1,0,0,0,0,0}, {0,0,0,1,0,1,1,0}, {0,0,0,0,0,0,0,1}, {0,1,0,0,1,0,0,0}, {0,0,0,1,0,0,1,0}}; mat _({{1,0,0,0,0,0,0,0}}); mat v=transpose(_); A=powmat(A,N); mat res=mul(A,v); if(N&1)pt(res[1][0]+res[2][0]+res[4][0]); else pt(res[0][0]); }