Zball in Tina Town

Time Limit: 3000/1500 MS (Java/Others)

Memory Limit: 262144/262144 K (Java/Others)

Description

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.

Sample Input

2 3 10

Sample Output

2 0

Hint

hujie

Source

BestCoder Round #51 (div.2)

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