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 PyPy3 (7.3.0) (judge verdict: Accepted)

def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby, product
    from bisect import bisect_left,bisect_right
    from heapq import heapify, heappop, heappush
    from math import floor, ceil,pi,factorial
    from operator import itemgetter
    def I(): return int(input())
    def MI(): return map(int, input().split())
    def LI(): return list(map(int, input().split()))
    def LI2(): return [int(input()) for i in range(n)]
    def MXI(): return [[LI()]for i in range(n)]
    def SI(): return input().rstrip()
    def printns(x): print('\n'.join(x))
    def printni(x): print('\n'.join(list(map(str,x))))
    inf = 10**17
    mod = 10**9 + 7
#main code here!
    n=I()
    ans=pow(10,n,mod)-2*pow(9,n,mod)+pow(8,n,mod)
    print(ans%mod)
    

        
        
        
        
    
if __name__=="__main__":
    main()