#include using namespace std; #define int long long int MOD=1000000007LL; //<- alert!!! typedef vector arr; typedef vector mat; inline arr mul(mat a,arr& b,int mod){ arr res(b.size(),0); for(int i=0;i<(int)b.size();i++) for(int j=0;j<(int)a[i].size();j++) (res[i]+=a[i][j]*b[j])%=mod; return res; } inline mat mul(mat& a,mat& b,int mod){ mat res(a.size(),arr(b[0].size(),0)); for(int i=0;i<(int)a.size();i++) for(int j=0;j<(int)b[0].size();j++) for(int k=0;k<(int)b.size();k++) (res[i][j]+=a[i][k]*b[k][j])%=mod; return res; } mat base; inline mat mat_pow(mat a,int n,int mod){ if(base.empty()){ base=mat(a); for(int i=0;i<(int)a.size();i++) for(int j=0;j<(int)a[i].size();j++) base[i][j]=(i==j); } mat res(base); while(n){ if(n&1) res=mul(a,res,mod); a=mul(a,a,mod); n>>=1; } return res; } void s(arr &a,int a0,int a1,int a2,int a3,int a4, int a5,int a6,int a7,int a8,int a9){ a[0]=a0; a[1]=a1; a[2]=a2; a[3]=a3; a[4]=a4; a[5]=a5; a[6]=a6; a[7]=a7; a[8]=a8; a[9]=a9; } signed main(){ int n; cin>>n; arr a(10,0); a[8]=1; mat m(10,arr(10,0)); s(m[0],1,0,0,0,0,0,0,0,0,0); s(m[1],1,1,0,1,0,0,0,1,0,1); s(m[2],1,0,1,1,0,0,1,1,0,0); s(m[3],1,1,1,1,0,0,1,1,0,0); s(m[4],1,0,0,0,1,0,1,1,0,1); s(m[5],1,1,0,0,1,1,0,0,0,0); s(m[6],1,0,1,1,1,0,1,1,0,0); s(m[7],1,1,1,1,1,1,1,1,0,0); s(m[8],0,1,1,1,1,0,1,1,1,1); s(m[9],0,0,0,0,0,0,0,1,0,1); for(int i=0;i<10;i++) for(int j=i+1;j<10;j++) swap(m[i][j],m[j][i]); m=mat_pow(m,n+1,MOD); /* for(int i=0;i<10;i++){ for(int j=0;j<10;j++) cout<