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.Linq;

namespace B
{
    class Program
    {
        static void Main(string[] args)
        {
            var abcd = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToList();
            long max = long.MinValue;
            foreach (var ab in abcd.Take(2))
            {
                foreach (var cd in abcd.Skip(2))
                {
                    max = Math.Max(max, ab * cd);
                }
            }
            Console.WriteLine(max);
        }
    }
}