hdu1005

Number Sequence

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 72091    Accepted Submission(s): 16791

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

 

 

 

 

 

 

 

 

1. #include<iostream>
2. using namespace std;
3. int f[10000];
4. int main()
5. {
6.  int a,b,n;
7.  while(scanf("%d%d%d",&a,&b,&n)!=EOF)
8.  {
9.   int i;
10.   if(a==b&&b==0&&n==0)
11.    break;
12.   f[1]=1;
13.   f[2]=1;
14.   for(i=3;i<48;i++)
15.   {
16.    f[i] = (a*f[i-1] +b*f[i-2])%7;
17.   }
18.   n=n%48;
19.     printf("%d\n" ,f[n]);
20.  }
21.  return 0;
22. }