Simple Division Modulo m
As calculating division modulo
m requires quite involved computations, we are interested in computing the result of division a / b modulo m for only the cases when a is divisible by b. Input
The only line of the input contains 3 integers
a (1 ≤ a ≤ ), b (1 ≤ b ≤ ), and m (1 ≤ m ≤ ).Output
If
a is divisible by b, the program should print the result of Impossible.Examples
Input | Output |
3 8 5 | Impossible |
8 2 3 | 1 |
6 2 3 | 0 |
Explanation
- 3 is not divisible by 8 ⇒ Impossible
- 8 / 2 = 4 ⇒ 4 mod 3 = 1
- 6 / 2 = 3 ⇒ 3 mod 3 = 0
Constraints
Time limit: 2 seconds
Memory limit: 512 MB
Output limit: 1 MB