Division

Given positive integers $t$, $a$, and $b$ not bigger than $2\, 147\, 483\, 647$, establish whether $(t^ a - 1)/(t^ b -1)$ is an integer with less than $100$ digits.

Input

Each line of input contains a test case $t$, $a$ and $b$. There are at most $100$ lines of input.

Output

For each line of input print the formula followed by its value, or followed by “is not an integer with less than $100$ digits.”, whichever is appropriate.

Sample Input 1 Sample Output 1
2 9 3
2 3 2
21 42 7
123 911 1
(2^9-1)/(2^3-1) 73
(2^3-1)/(2^2-1) is not an integer with less than 100 digits.
(21^42-1)/(21^7-1) 18952884496956715554550978627384117011154680106
(123^911-1)/(123^1-1) is not an integer with less than 100 digits.