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 Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/*
 * Copyright (c) --> Arpit
 * Date Created : 13/9/2020
 * Have A Good Day !
 */

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Arpit
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastReader in = new FastReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        CUbiquity solver = new CUbiquity();
        solver.solve(1, in, out);
        out.close();
    }
    
    static class CUbiquity {
        public void solve(int testNumber, FastReader r, OutputWriter out) {
            long n = r.nextLong();
            long ans = 0;
            if (n > 1) {
                long mod = (long) 1e9 + 7;
                long ten = 1, eight = 1, nine = 1;
                while (n-- > 0) {
                    ten = (ten * 10) % mod;
                    nine = (nine * 9) % mod;
                    eight = (eight * 8) % mod;
                }
                ans = ((ten + eight) % mod - (2 * (nine)) % mod) % mod;
            }
            out.println(ans);
        }
        
    }
    
    static class FastReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private FastReader.SpaceCharFilter filter;
        
        public FastReader(InputStream stream) {
            this.stream = stream;
        }
        
        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }
        
        public long nextLong() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
        
        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }
        
        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
        
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
            
        }
        
    }
    
    static class OutputWriter {
        private final PrintWriter writer;
        
        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }
        
        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }
        
        public void print(Object... objects) {
            for (int i = 0; i < objects.length; i++) {
                writer.print(objects[i]);
                if (i != objects.length - 1) writer.print(" ");
            }
        }
        
        public void println(Object... objects) {
            print(objects);
            writer.println();
        }
        
        public void close() {
            writer.close();
        }
        
    }
}