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You will be given two positive numbers M and N. Your task is to print the greatest common divisor of Fib(M) and Fib(N) where Fib(x) means the x'th Fibonacci numbers defined as:
Fib(0) = 0
Fib(1) = 1
for n > 1, Fib(n) = Fib(n-1) + Fib(n-2)
Example 1:
Input: M = 3, N = 6
Output: 2
Explanation: Fib(3) = 2 and Fib(6) = 8
So, GCD(2,8)%100 = 2
​Example 2:
Input: M = 7, N = 8
Output: 1
Explanation: Fib(7) = 13 and Fib(8) = 21
So, GCD(13,21)%100 = 1
Your Task:
You don't need to read input or print anything. Your task is to complete the function fibGcd() which takes M and N as inputs and returns the answer.The answer may be very large, compute the answer modulo 100.
Expected Time Complexity: O(min(M, N))
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ M, N ≤ 103
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