An easy problem

Time Limit: 8000/5000 MS (Java/Others)

Memory Limit: 65536/65536 K (Java/Others)


One day, a useless calculator was being built by Kuros. Let's assume that number X is showed on the screen of calculator. At first, X = 1. This calculator only supports two types of operation.
1. multiply X with a number.
2. divide X with a number which was multiplied before.
After each operation, please output the number X modulo M.


The first line is an integer T($1 \leq T \leq 10$), indicating the number of test cases.
For each test case, the first line are two integers Q and M. Q is the number of operations and M is described above. ($1 \leq Q \leq 10^5, 1 \leq M \leq 10^9$)
The next Q lines, each line starts with an integer x indicating the type of operation.
if x is 1, an integer y is given, indicating the number to multiply. ($0 < y \leq 10^9$)
if x is 2, an integer n is given. The calculator will divide the number which is multiplied in the nth operation. (the nth operation must be a type 1 operation.)

It's guaranteed that in type 2 operation, there won't be two same n.


For each test case, the first line, please output "Case #x:" and x is the id of the test cases starting from 1.
Then Q lines follow, each line please output an answer showed by the calculator.

Sample Input

1 10 1000000000 1 2 2 1 1 2 1 10 2 3 2 4 1 6 1 7 1 12 2 7

Sample Output

Case #1: 2 1 2 20 10 1 6 42 504 84




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