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Sum Of Fibonacci Numbers

Problem Description

How many minimum numbers from the Fibonacci series are required such that the sum of numbers should be equal to a given Number A
Note: repetition of numbers is allowed.


Problem Constraints
1 <= A <= 109


Input Format
The first argument is an integer A.


Output Format
Return an integer equal to the minimum number of Fibonacci numbers whose sum is equal to A


Example Input
Input 1:
A = 4
Input 2:
A = 7


Example Output
Output 1:
2
Output 2:
2


Example Explanation
Explanation 1:
Two numbers are required, A = 4 which is equal to (2 + 2)
Explanation 2:
Two numbers are required, A = 7 which is equal to (2 + 5)


NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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