This is Fibonacci madness.
Given a number n. Print the first n Fibonacci numbers in reverse order.

Input:

First line is number T denoting number of test cases.
T lines follow. Each line has number N.

Output:

Print the first n Fibonacci numbers in reverse order for all test cases.

Constraints:

1 ≤ T ≤ 10

0 ≤ N ≤ 100

Example

Input:
3

1

7

4
Output:
0

8 5 3 2 1 1 0

2 1 1 0

SAMPLE INPUT
3
1
7
4

SAMPLE OUTPUT
0
8 5 3 2 1 1 0
2 1 1 0

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