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using namespace std; const int maxn=14; typedef long long ll; const int N=10; const ll mo=1000000007; ll tmp[N][N]; ll c[N][N],d[N][N]; ll ans[5]={0,0,31,197,1255}; void (ll a[][N],ll b[][N],int n){ memset(tmp,0,sizeof (tmp)); for(int i=0;i<n;i++) for(int j=0;j<n;j++) for(int k=0;k<n;k++){ tmp[i][j]+=a[i][k]*b[k][j]; tmp[i][j]%=mo; } for(int i=0;i<n;i++) for(int j=0;j<n;j++) a[i][j]=tmp[i][j]; } ll res[N][N]; void Pow(ll a[][N],ll n,int cnt){ memset(res,0,sizeof (res)); for(int i=0;i<cnt;i++) res[i][i]=1; while(n) { if(n&1) multi(res,a,cnt); multi(a,a,cnt); n>>=1; } } int main(){ int t; scanf("%d",&t); while(t--){ ll n; scanf("%lld",&n); if(n<=4) {printf("%lldn",ans[n]); continue;} c[0][0]=4; c[0][1]=17; c[0][2]=-12; c[1][0]=1; c[1][1]=c[1][2]=c[2][0]=c[2][2]=0; c[2][1]=1; Pow(c,n-4,3); d[0][0]=ans[4]; d[1][0]=ans[3]; d[2][0]=ans[2]; multi(res,d,3); printf("%lldn",(mo+res[0][0])%mo); } }
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