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 Rust (1.42.0) (judge verdict: Wrong Answer)

#![allow(unused_imports)]
#![allow(non_snake_case)]
use std::*;
use proconio::{input, fastout, marker::*};

#[fastout]
fn main() {
  input!{
    n:i64
  }
  let mut ans:i64 = 1;
  let MOD = 10i64.pow(9)+7;
  if n < 2 {
    println!("{}",0);
    return;
  }
  ans = (ans%MOD)*2;
  for _i in 0..(n-2) {
      ans *= 10;
      ans %= MOD;
  }
  println!("{}",ans);
}