Number Sequence

Problem Description

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).

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.

Output

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

Sample Input

1 1 3
1 2 10
0 0 0

Sample Output

2
5

#include<iostream>
#include<cmath>
using namespace std;
int a,b,f[100];
int main()
{
int n,m,i;

while(cin>>a>>b>>n)
{
if(a == 0 && b == 0 && n == 0)
break;
a=a%7;
b=b%7;
f[1]=1;f[2]=1;
for(i=3;i<=99;i++)
f[i]= (a*f[i-1]+b*f[i-2])%7;
n=n%48;
cout<<f
<<endl;

}
return 0;
}