On New Year's Eve, a popular tradition is to have a countdown to midnight. Starting at some number \(N\), people count down from \(N\) to \(0\) and then burst into celebration. Your task is to write a program that simulates this countdown.
The first line of input provides the number of test cases, \(T\ (1 \le T \le 100)\). \(T\) test cases follow. Each test case consists of one integer \(N\ (1 \le N \le 100)\).
For each test case, your program should output one line containing the countdown, which consists of \(N+1\) space-separated integers ending with an exclamation point.
2 3 5
3 2 1 0! 5 4 3 2 1 0!