#include<bits/stdc++.h>
#define Mod 1000000007
#define LL long long
using namespace std;
struct Matrix{
LL x[4][4];
Matrix(){memset(x,0,sizeof(x));}
};
int T,n;
Matrix mul(Matrix a,Matrix b){
Matrix c;
for(int i=1;i<=3;i++)
for(int j=1;j<=3;j++)
for(int k=1;k<=3;k++)
c.x[i][j] = (c.x[i][j] + a.x[i][k] * b.x[k][j]) % Mod;
return c;
}
Matrix power(Matrix a,int k){
Matrix ans;
for(int i=1;i<=3;i++) ans.x[i][i]=1;
for(;k;k>>=1){
if(k&1) ans = mul(ans,a);
a = mul(a,a);
}return ans;
}
int main(){
scanf("%d",&T); while(T--){
scanf("%d",&n); if(n<=3){printf("1\n"); continue;}
Matrix a,b;
a.x[1][1]=a.x[1][2]=a.x[1][3]=1;
b.x[1][1]=b.x[1][2]=b.x[2][3]=b.x[3][1]=1;
b = power(b,n-3); a = mul(a,b);
printf("%lld\n",a.x[1][1]);
}
}