You will be given a list of Q (1 <= Q <= 100,000) instructions.
If the instructions is to "insert N", insert N into the list of numbers (there may be duplicates).
If the instruction is to "print" - print the XOR sum of the largest K (1<=K<=Q) elements in the list (or, if the list contains less than K elements, the XOR sum of all elements in the list).
XOR sum of a list of numbers is the result of XOR-ing all of them. XOR can be applied to two integers using the built in ^ operator in most languages (or xor in Haskell).
Note that XOR function has some useful properties, among them that if N^M=X then N=X^M and M=X^N.
First line of the input contains an integer T (1 <= T <= 30) - the number of test cases. Each test case start with a line containing two integers Q and K (1 <= Q,K <= 100,000). Following are Q lines containing one instruction each.
Instructions are in either of the following two forms:
insert N or printN is a non-negative integer less than 2^31.
For each print statement output the sum of (at most) K largest elements in the current list. Note that the list is cleared between test cases.
1 5 2 insert 1 insert 2 print insert 3 print