#include using namespace std; #include #include //#define int long long #define REP(i,m,n) for(int i=(m);i<(n);i++) #define rep(i,n) REP(i,0,n) #define pb push_back #define all(a) a.begin(),a.end() #define rall(c) (c).rbegin(),(c).rend() #define mp make_pair #define endl '\n' //#define vec vector //#define mat vector > #define fi first #define se second #define double long double typedef long long ll; typedef unsigned long long ull; typedef pair pll; //typedef long double ld; typedef complex Complex; const ll INF=1e9+7; const ll MOD=998244353; const ll inf=INF*INF; const ll mod=INF; const ll MAX=100010; const double PI=acos(-1.0); typedef vector > mat; typedef vector vec; double pi=M_PI; //行列累乗 mat mul(mat &A,mat &B){ mat C(A.size(),vec(B[0].size())); rep(i,A.size()){ rep(j,B[0].size()){ rep(k,B.size()){ C[i][j]=(C[i][j]+(A[i][k]*B[k][j])%mod)%mod; } } } return C; } mat pow(mat A,ll k){ mat B(A.size(),vec(A.size())); rep(i,A.size())B[i][i]=1; while(k>0){ if(k&1)B=mul(B,A); A=mul(A,A); k>>=1; } return B; } void solve(){ ll n;cin>>n; if(n==1){ cout<<1< >k(4,vector(4)); k[0][0]=2,k[0][1]=1,k[0][2]=-2,k[0][3]=-1; rep(j,3){ k[j+1][j]=1; } vectora(4); a[0]=15; a[1]=7; a[2]=3; a[3]=1; ll ans=0; if(n/2>=4){ auto c=pow(k,n/2-3); rep(j,4){ ans=(ans+a[j]*c[0][j]%mod)%mod; } if(ans<0)ans+=mod; }else{ ans=a[3-n/2]; } cout< >k(2,vector(2)); k[0][0]=1,k[0][1]=1,k[1][0]=1; auto c=pow(k,n/2); cout<