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: N Transaction i Black Box contents after transaction Answer (elements are arranged by non-descending) 1 ADD(3) 03 2 GET 3 ADD(1) 4 GET 5 ADD(-4) 6 ADD(2) 7 ADD(8) 8 ADD(-1000) 9 GET 10 GET 11 ADD(2) 13 3 1 1,3 2 1,3 3 2 -4,1,3 2 -4,1,2,3 2 -4,1,2,3,8 2 -1000, -4, 1, 2, 3, 8 3 -1000, -4, 1, 2, 3, 8 1 4 -1000, -4, 1, 2, 3, 8 2 4 -1000,-4,1,2,2,3,8 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:
2/2 Input The first line of the input is an integer K, then a blank line followed by K datasets. There is a blank line between datasets. Input for each dataset 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. Output For each dataset, write to the output Black Box answers sequence for a given sequence of transactions. Write only a number per line in the output. Print a blank line between datasets. Sample Input 1 74 3 1 -4 2 8 -1000 2 1266 Sample Output 3 3 1 2