using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var t = NN;
        var ans = new long[t];
        for (var i = 0; i < t; ++i)
        {
            var n = NN;
            ans[i] = Bus(n);
        }
        WriteLine(string.Join("\n", ans));
    }
    static long Bus(int n)
    {
        var a = new long[][] { new long[] { 0, 1, 0, 0, 0, 0 } };
        var b = Matrix.Mul(a, Matrix.Pow(x, n));
        return b[0][1];
    }
    static int r3 = 333333336;
    static long[][] x = new long[][]
    {
        new long[] { 0, 1, 0, 0, 0, 0 },
        new long[] { 0, r3, r3, 0, r3, 0 },
        new long[] { 0, 0, 0, 1, 0, 0 },
        new long[] { r3, 0, 0, r3, r3, 0 },
        new long[] { 0, 0, 0, 0, 0, 1 },
        new long[] { r3, 0, r3, 0, 0, r3 },
    };
    class Matrix
    {
        public static int mod = 1_000_000_007;
        // 行列の累乗
        public static long[][] Pow(long[][] m, long k)
        {
            var multi = m;
            var r = new long[m.Length][];
            for (var i = 0; i < m.Length; ++i)
            {
                r[i] = new long[m.Length];
                r[i][i] = 1;
            }
            while (k > 0)
            {
                if ((k & 1) == 1) r = Mul(r, multi);
                multi = Mul(multi, multi);
                k >>= 1;
            }
            return r;
        }
        // 行列の積
        public static long[][] Mul(long[][] x, long[][] y)
        {
            var r = new long[x.Length][];
            for (var i = 0; i < x.Length; ++i) r[i] = new long[y[0].Length];
            for (var i = 0; i < x.Length; ++i) for (var k = 0; k < x[0].Length; ++k)
            {
                for (var j = 0; j < y[0].Length; ++j) r[i][j] = (r[i][j] + x[i][k] * y[k][j]) % mod;
            }
            return r;
        }
    }
}