Doctor Elephant is testing his new program: output the bitwise or of the numbers inputed.
He has decided to input several multiples of 3 and the output of the program should be his favorite number

.
Because he is lazy,
he decided to input as few numbers as possible. He wants you to construct such an input for every

he chose.
It's guaranteed that for every

in the input there is such a solution. If there're multiple solutions you can output any.
输入描述:
There're multiple test cases in a test file.
The first line contains a positive integer

- the number of test cases.
In each of the following

lines there is one positive integer

.
输出描述:
For each test case output a line. First you need to output the number of numbers in your input, and then you need to output these numbers, separating by spaces.
备注:
,
.