RAJA has got two number: a and b. However, Raja finds number a too short. So he decided to repeat the operation of lengthening number a n times.

One operation of lengthening a number means adding exactly one digit to the number (in the decimal notation) to the right provided that the resulting number is divisible by b. If it is impossible to obtain the number which is divisible by b, then the lengthening operation cannot be performed.

Your task is to help Raja and print the number he can get after applying the lengthening operation to number a n times.

Input

The first line contains three integers: a, b, n (1 ≤ a, b, n ≤ 105).

Output

In a single line print the integer without leading zeros, which Raja can get when he applies the lengthening operations to number a ntimes. If no such number exists, then print number -1. If there are multiple possible answers, print one which has smallest possible value with largest number of zeros . 

Example

Input:
5 4 5
Output:
520000