Time Limit: Java: 10000 ms / Others: 10000 ms

Memory Limit: Java: 32768 KB / Others: 32768 KB

Our Black Box represents a primitive database. It can save an integer array and
has a special i variable. At the initial moment Black Box is empty and i equals
0. This Black Box processes a sequence of commands (transactions). There are two
types of transactions:

ADD(x): put element x into Black Box;

GET: increase i by 1 and give an i-minimum out of all integers containing in
the Black Box.

Keep in mind that i-minimum is a number located at i-th place after Black Box
elements sorting by non-descending.

Example

Let us examine a possible sequence of 11 transactions:

It is required to work out an efficient algorithm which treats a given sequence of transactions. The maximum number of ADD and GET transactions: 30000 of each type.

Let us describe the sequence of transactions by two integer arrays:

1. A(1), A(2), ..., A(M): a sequence of elements which are being included into
Black Box. A values are integers not exceeding 2 000 000 000 by their absolute
value, M <= 30000. For the Example we have A=(3, 1, -4, 2, 8, -1000, 2).

2. u(1), u(2), ..., u(N): a sequence setting a number of elements which are being included into Black Box at the moment of first, second, ... and N-transaction GET. For the Example we have u=(1, 2, 6, 6).

The Black Box algorithm supposes that natural number sequence u(1), u(2), ..., u(N) is sorted in non-descending order, N <= M and for each p (1 <= p <= N) an inequality p <= u(p) <= M is valid. It follows from the fact that for the p-element of our u sequence we perform a GET transaction giving p-minimum number from our A(1), A(2), ..., A(u(p)) sequence.

Input contains (in given order): M, N, A(1), A(2), ..., A(M), u(1), u(2), ...,
u(N). All numbers are divided by spaces and (or) carriage return characters.

Write to the output Black Box answers sequence for a given sequence of transactions,
one number each line.

This problem contains multiple test cases!

The first line of a multiple input is an integer N, then a blank line followed by N input blocks. Each input block is in the format indicated in the problem description. There is a blank line between input blocks.

The output format consists of N output blocks. There is a blank line between output blocks.

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