#include<iostream>
#include<atcoder/modint>
using namespace std;
using mint=atcoder::modint1000000007;
#include<array>
template<typename T,unsigned int N>
struct Matrix{
	array<array<T,N>,N>dat;
	array<T,N>&operator[](int i){return dat[i];}
	const array<T,N>&operator[](int i)const{return dat[i];}
	static Matrix eye(){
		Matrix res;
		for(int i=0;i<N;i++)res[i][i]=1;
		return res;
	}
	Matrix operator+(const Matrix&A)const{
		Matrix res;
		for(int i=0;i<N;i++)for(int j=0;j<N;j++)
			res[i][j]=dat[i][j]+A[i][j];
		return res;
	}
	Matrix operator*(const Matrix&A)const{
		Matrix res;
		for(int i=0;i<N;i++)for(int k=0;k<N;k++)for(int j=0;j<N;j++)
			res[i][j]+=dat[i][k]*A[k][j];
		return res;
	}
	Matrix pow(long long n)const{
		Matrix a=*this,res=eye();
		for(;n;a=a*a,n>>=1)if(n&1)res=res*a;
		return res;
	}
};
using mat=Matrix<mint,6>;
const mint inv3=mint(1)/3;
main()
{
	mat A;
	for(int i=3;i<6;i++)A[i-3][i]=1;
	for(int i=0;i<3;i++)
	{
		A[i][i]=inv3;
		for(int j=0;j<3;j++)if(i!=j)A[j+3][i]=inv3;
	}
	int T;cin>>T;
	for(;T--;)
	{
		int N;cin>>N;
		mat now=A.pow(N);
		cout<<now[0][0].val()<<"\n";
	}
}