You will be given a list of Q (1 <= Q <= 100,000) instructions.</p>

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.

입력 형식

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.</p>

Instructions are in either of the following two forms:

insert N

or

print

N is a non-negative integer less than 2^31.

출력 형식

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.

예제 입력

1
5 2
insert 1
insert 2
print
insert 3
print

예제 출력

3
1