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Juggler Sequence
##### Submissions: 1873   Accuracy: 40.61%   Difficulty: Basic   Marks: 1

Juggler Sequence is a series of integer number in which the first term starts with a positive integer number a and the remaining terms are generated from the immediate previous term using the below recurrence relation:

Given a number N your task is to print the space separated Juggler Sequence for this number as the first term of the sequence.

Examples:

```Input: 9
Output: 9, 27, 140, 11, 36, 6, 2, 1
next terms.

Input: 6
Output: 6, 2, 1```

Input:
The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each line contains an integer N.

Output:
For each test case in a new line print the space separated juggler sequence for  number N as the first term of the sequence.

Constraints:
1<=T<=100
1<=N<=100

Example:
Input:

2
9
6
Output:
9  27 140 11 36 6 2 1
6 2 1

#### ** For More Input/Output Examples Use 'Expected Output' option **

Author: Shubham Joshi 1

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