Problem8858--[yosupo] Number Theory - Factorize

8858: [yosupo] Number Theory - Factorize

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

Given $Q$ cases. For each case, given integer $a_i$. Please factorize it.

Input

$Q$
$a_0$
$a_1$
:
$a_{Q - 1}$

Output

Print $Q$ lines. For each line, print as follows. $k$ is the number of factors and $x_i$ is the factors in __ascending__ order.
$k$ $x_0$ $x_1$ ... $x_{k - 1}$

Constraints

- $1 \leq Q \leq 100$
- $1 \leq a_i \leq 10^{18}$

Sample 1 Input

10
1
2
3
4
5
6
7
8
9
10

Sample 1 Output

0
1 2
1 3
2 2 2
1 5
2 2 3
1 7
3 2 2 2
2 3 3
2 2 5

HINT

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