AT_abc417_b [ABC417B] Search and Delete

Description

Takahashi has an integer sequence $ A=(A_1,A_2,\ldots,A_N) $ of length $ N $ . It is guaranteed that $ A $ is non-decreasing. Takahashi performs $ M $ operations on this integer sequence. In the $ i $ -th operation $ (1\leq i\leq M) $ , he performs the following operation: > If the sequence $ A $ contains $ B_i $ as an element, select one such element and delete it. If no such element exists, do nothing. > > Note that since $ A $ is non-decreasing, the sequence after the operation is uniquely determined regardless of the choice of element, and remains non-decreasing. Find $ A $ after performing $ M $ operations. What is non-decreasing?A sequence $ X=(X_1,X_2,\ldots,X_K) $ is non-decreasing if $ X_i\leq X_{i+1} $ holds for all $ i $ $ (1\leq i\leq K-1) $ .

Input Format

The input is given from Standard Input in the following format: > $ N $ $ M $ $ A_1 $ $ A_2 $ $ \ldots $ $ A_N $ $ B_1 $ $ B_2 $ $ \ldots $ $ B_M $

Output Format

Output the elements of $ A $ after the operations, in order, separated by spaces on a single line. If $ A $ is empty after the operations, output nothing.

Explanation/Hint

### Sample Explanation 1 Initially, $ A $ is $ A=(1,2,2,3,3,3,5,6) $ . The operations are performed as follows: - Delete one $ 2 $ from $ A $ , and $ A $ becomes $ A=(1,2,3,3,3,5,6) $ after the operation. - Delete one $ 2 $ from $ A $ , and $ A $ becomes $ A=(1,3,3,3,5,6) $ after the operation. - Since $ A $ does not contain $ 7 $ as an element, do nothing. $ A $ remains $ A=(1,3,3,3,5,6) $ after the operation. - Delete one $ 3 $ from $ A $ , and $ A $ becomes $ A=(1,3,3,5,6) $ after the operation. - Since $ A $ does not contain $ 2 $ as an element, do nothing. $ A $ remains $ A=(1,3,3,5,6) $ after the operation. Therefore, after all operations, $ A=(1,3,3,5,6) $ , so output the elements in this order separated by spaces. ### Sample Explanation 2 $ A $ becomes empty after the operations, so output nothing. ### Constraints - $ 1 \leq N \leq 100 $ - $ 1 \leq M \leq 100 $ - $ 1 \leq A_i,B_i \leq 10^9 $ - The integer sequence $ A $ is non-decreasing. - All input values are integers.