Problem Description
Fibonacci sequence is familiar to you, right? Here comes the SZ Fibonacci sequence, with the property like the following formula.
F(n)= a (n=1)
F(n)= b (n=2)
F(n)= F(n-1)+F(n-2), n>2 and n is odd
F(n)= F(n-1)+F(n-2)+F(n-3), n>2 and n is even
Here a and b are constants. Given a,b,and n, your task is to calculate the F(n).
Input
First line of input comes a positive integer T(T<=10), indicating the number of test cases. Each test case contains three positive integer a,b and n(a<=10,b<=10,n<=30)
Output
Print one line containing an integer, i.e.F(n), for each test case.
Sample Input
2
1 2 3
1 3 6
Sample Output
3
24
#include <stdio.h>
int a,b,n;
int fib(int n)
{
if(n==1) return a;
if(n==2) return b;
if(n>2&&n%2==0) return fib(n-1)+fib(n-2)+fib(n-3);
if(n>2&&n%2!=0) return fib(n-1)+fib(n-2);
}
int main()
{
//freopen("a.txt","r",stdin);
int T,n;
scanf("%d",&T);
while(T--)
{
scanf("%d%d%d",&a,&b,&n);
printf("%d\n",fib(n));
}
return 0;
}