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<CENTER><FONT color=blue size=+2>Number Sequence</FONT></CENTER>
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<CENTER><FONT color=green>Time limit:</FONT> 1 Seconds <FONT
color=green>Memory limit: </FONT>32768K </FONT><BR><FONT
color=green>Total Submit:</FONT> 5561 <FONT color=green>Accepted
Submit:</FONT> 1194 </CENTER>
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<P>A number sequence is defined as follows:<BR><BR>f(1) = 1, f(2) = 1, f(n) = (A
* f(n - 1) + B * f(n - 2)) mod 7.<BR><BR>Given A, B, and n, you are to calculate
the value of f(n).</P>
<P><BR><B>Input</B><BR><BR>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.</P>
<P><BR><B>Output</B><BR><BR>For each test case, print the value of f(n) on a
single line. </P>
<P><BR><B>Sample Input</B><BR><BR>1 1 3<BR>1 2 10<BR>0 0 0</P>
<P><BR><B>Sample Output</B><BR><BR>2<BR>5</P>
<P><BR><B>Author: </B><I>CHEN, Shunbao</I><BR></P>
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<FONT color=green size=+1>Problem Source: </FONT><I>Zhejiang Provincial
Programming Contest 2004</I>
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