Tina Town is a friendly place. People there care about each other.
Tina has a ball called zball. Zball is magic. It grows larger every day. On the first day, it becomes $1$ time as large as its original size. On the second day,it will become $2$ times as large as the size on the first day. On the n-th day,it will become $n$ times as large as the size on the (n-1)-th day. Tina want to know its size on the (n-1)-th day modulo n.
Input
The first line of input contains an integer $T$, representing the number of cases.
The following $T$ lines, each line contains an integer $n$, according to the description.
$ T \leq {10}^{5},2 \leq n \leq {10}^{9} $
Output
For each test case, output an integer representing the answer.
