Problem:
Score : 300 points

Problem Statement

How many integer sequences A_1,A_2,\ldots,A_N of length N satisfy all of the following conditions?

0 \leq A_i \leq 9

There exists some i such that A_i=0 holds.

There exists some i such that A_i=9 holds.

The answer can be very large, so output it modulo 10^9 + 7.

Constraints

1 \leq N \leq 10^6

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print the answer modulo 10^9 + 7.

Sample Input 1

2

Sample Output 1

2

Two sequences \{0,9\} and \{9,0\} satisfy all conditions.

Sample Input 2

1

Sample Output 2

0

Sample Input 3

869121

Sample Output 3

2511445

Solution in C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace abc178_c
{
    class Program
    {
        static void Main(string[] args)
        {
            var N = CIn.ReadLong();
            var x = ModPow(10, N) - ModPow(9, N) - ModPow(9, N) + ModPow(8, N) + (int)Math.Pow(10,9) + 7;    
            var ans = x % ((int)Math.Pow(10, 9) + 7);
            Console.WriteLine(ans);
        }
        static long ModPow(long a, long n)
        {
            var result = 1L;
            for (var i = 1; i <= n; i++)
            {
               result = result *  a % ((int)Math.Pow(10, 9) + 7);
            }
            return result;
        }
    }
    class CIn
    {
        private static readonly Queue<string> fieldBuffer = new Queue<string>();

        public static string Read()
        {
            if (fieldBuffer.Count == 0)
            {
                foreach (var field in Console.ReadLine().Split())
                {
                    fieldBuffer.Enqueue(field);
                }
            }

            return fieldBuffer.Dequeue();
        }

        public static int ReadInt() => int.Parse(Read());
        public static long ReadLong() => long.Parse(Read());
        public static double ReadDouble() => double.Parse(Read());

        public static string[] ReadStringArray(long n)
        {
            var array = new string[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = Read();
            }

            return array;
        }

        public static int[] ReadIntArray(long n)
        {
            var array = new int[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = ReadInt();
            }

            return array;
        }

        public static long[] ReadLongArray(long n)
        {
            var array = new long[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = ReadLong();
            }

            return array;
        }
        public static double[] ReadDoubleArray(long n)
        {
            var array = new double[n];

            for (var i = 0; i < n; i++)
            {
                array[i] = ReadDouble();
            }

            return array;
        }
    }
    
}