The input contains multiple test cases.
The first line of the input contains an integer, the number of test cases.
For each test case, the first line contains an integer.
The next line contains, the 01-sequence of length
. It is guaranteed that
is not sorted, i.e., there exists some integers
such that
and
.
For each test case, outputin the first line, indicating the length of array
and
.
In the-th of the next
lines, print
and
separated by a space.