Number Sequence

Time limit: 1 Seconds

Memory limit: 32768K

A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7. Given A, B, and n, you are to calculate the value of f(n).

1. Input

The input consists of multiple test cases. Each test case contains 3 integers A, B and n on a single line (1 <= A, B <= 1000, 1 <= n <= 100,000,000). Three zeros signal the end of input and this test case is not to be processed.

2. Output

For each test case, print the value of f(n) on a single line.

3. Sample Input

{{{1 1 3 1 2 10 0 0 0 }}}

4. Sample Output