Description
Fibonacci number
This problem is a programming version of Problem 25 from projecteuler.net
The Fibonacci sequence is defined by the recurrence relation:
Fn = Fn−1 + Fn−2, where F1 = 1 and F2 = 1
.
Hence the first 12 terms will be:
F1 = 1
F2 = 1
F3 = 2
F4 = 3
F5 = 5
F6 = 8
F7 = 13
F8 = 21
F9 = 34
F10 = 55
F11 = 89
F12 = 144
The 12th term, F12, is the first term to contain three digits.
What is the first term in the Fibonacci sequence to contain N digits?
Input Format
The first line contains an integer T , i.e., number of test cases.
Next T lines will contain an integer N.
Output Format
Print the values corresponding to each test case.
Constraints
1 ≤ T ≤ 5000
2 ≤ N ≤ 5000
Sample Input
Sample Output




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