Time Limit: 2 Seconds
Memory Limit: 65536 KB
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).
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.
For each test case, print the value of f(n) on a single line.
1 1 3
1 2 10
0 0 0
Author: CHEN, Shunbao
Source: Zhejiang Provincial Programming Contest 2004