The Fibonacci sequence is defined as:
Fib(1) = 0 Fib(2) = 1 Fib(N) = Fib(N-1) + Fib(N-2)
The Fibonacci sequence can be generalize as follow:
Fib_gen(1) = a Fib_gen(2) = b Fib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)
where 0 >= a >= b
Moreover it can be shown that
Fib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)
Given a and b find k(1) and k(2).