Kattis

# I Hate The Number Nine

How many positive $d$ digit numbers exist that do not contain a nine?

## Input

The first line of the input consists of a single integer, $T$, the number of test cases.
Each of the following $T$ cases consists of a single integer $d$, the number of digits.

• $1 \leq T \leq 20$

• $1 \leq d \leq 10^{18}$

## Output

For each test case, output the number of positive numbers with $d$ digits that do not contain a nine. Since this number can be very large, output it modulo $1\, 000\, 000\, 007$.

Sample Input 1 Sample Output 1
3
1
2
100

8
72
343393926