AT_abc474_c Remove and Append

Description

You are given a permutation $ P=(P_1,P_2,\dots,P_N) $ of $ (1,2,\dots,N) $ . For $ q=1,2,\dots,Q $ in this order, perform the following operation. - Remove the element with value $ a_q $ from $ P $ , and append it to the end of $ P $ . Find the value of each element of $ P $ after performing the $ Q $ operations.

Input Format

The input is given from Standard Input in the following format: > $ N $ $ Q $ $ P_1 $ $ P_2 $ $ \ldots $ $ P_N $ $ a_1 $ $ a_2 $ $ \vdots $ $ a_Q $

Output Format

Output $ P_1,P_2,\dots,P_N $ after performing the $ Q $ operations, in this order, separated by spaces, in one line.

Explanation/Hint

### Sample Explanation 1 Initially, $ P=(2,4,3,1) $ . After the first operation, $ P=(2,4,1,3) $ . After the second operation, $ P=(4,1,3,2) $ . ### Constraints - $ 1 \leq N \leq 2 \times 10^5 $ - $ 1 \leq Q \leq 2 \times 10^5 $ - $ (P_1,P_2,\dots,P_N) $ is a permutation of $ (1,2,\dots,N) $ . - $ 1 \leq a_q \leq N $ - All input values are integers.