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Write a program that takes input of integer N, followed by N more integers. For each integer. Output the next fibonacci number after it.

Fibonacci number: Any number that belongs to the fibonacci series.

The Fibonacci series is defined as: F(0) = 0; F(1) = 1; F(n) = F(nโ€“1) + F(nโ€“2) when n>1

Your output lines should not have any trailing or leading whitespaces In case of error your output should be 0

Constraints:

Your program should run correctly for the first 60 Fibonacci Numbers

Input

3 1 9 22

Output

2 13 34

Explanation:

2 is the next fibonacci number greater than 1, the fibonacci number that comes after 9 is 13. 34 is the next fibonacci number after 22

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