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 AtCoder.Abc
{
    class QuestionC
    {
        public static void Main(string[] args)
        {
            var sw = new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);

            // 文字列の入力
            //string s = Console.ReadLine();

            // 整数の入力
            long n = long.Parse(Console.ReadLine());

            // 文字列配列の入力
            //string[] inputStrArray = Console.ReadLine().Split(' ');

            // 整数配列の入力
            //var la = Console.ReadLine().Split(' ').Select(i => long.Parse(i)).ToArray();

            long c = 1;
            long d = 0;

            if(n==1)
            {
                c=0;
            }

            if(n>=3)
            {
                
                c = n*(n-1);
                if(c > 1000000007)
                    {
                        c %= 1000000007;
                    }
                
                for (int i = 0; i < n-2 ; i++)
                {
                    c *= 10;
                    if(c > 1000000007)
                    {
                        c %= 1000000007;
                    }
                }
            }
            


            //string result = "";

            Console.WriteLine(c);

            Console.Out.Flush();
        }
    }
}