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.
Input: 9 Output: 9, 27, 140, 11, 36, 6, 2, 1 We start with 9 and use above formula to get next terms. Input: 6 Output: 6, 2, 1
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.
For each test case in a new line print the space separated juggler sequence for number N as the first term of the sequence.
9 27 140 11 36 6 2 1
6 2 1
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