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)
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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