You are given a list consisting of ~n~ integers. Your task is to remove elements from the list at given positions, and report the removed elements.

Input

• The first input line has an integer ~n~: the initial size of the list. During the process, the elements are numbered ~1,2,\dots,k~ where ~k~ is the current size of the list.
• The second line has ~n~ integers ~x_1,x_2,\dots,x_n~: the contents of the list.
• The last line has ~n~ integers ~p_1,p_2,\dots,p_n~: the positions of the elements to be removed.

Output

• Print the elements in the order they are removed.

Constraints

• ~1 \le n \le 2 \cdot 10^5~
• ~1 \le x_i \le 10^9~
• ~1 \le p_i \le n-i+1~

Example Input

5
2 6 1 4 2
3 1 3 1 1

Example Output

1 2 2 6 4

Explanation: The contents of the list are ~[2,6,1,4,2]~, ~[2,6,4,2]~, ~[6,4,2]~, ~[6,4]~, ~[4]~ and ~[]~.