Digit Encryption

Problem Description

Xiaoyang has a string of digits and wants to turn it into another string of digits; this process is called encryption.

He has a codebook that tells him: which digit each digit should become.

There are $10$ digits in total: $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$.

The codebook tells, in order:

• what $0$ should become
• what $1$ should become
• what $2$ should become
• $\dots$
• what $9$ should become

Please replace every digit of the original string with the new digit according to the codebook, and output the result.

Input Format

The input consists of $3$ lines in total.

• The first line: an integer, the number of digits to be encrypted.
• The second line: the digits to be encrypted, separated by spaces.
• The third line: the codebook, $10$ space-separated digits in total.

The meaning of these $10$ digits is:

• the 1st digit: what $0$ becomes after encryption;
• the 2nd digit: what $1$ becomes after encryption;
• the 3rd digit: what $2$ becomes after encryption;
• $\dots$
• the 10th digit: what $9$ becomes after encryption.

Output Format

Output the encrypted digits, separated by spaces.

That is: replace each digit in the second line of input by the corresponding digit in the third line, then output.

Sample Input

7
0 2 0 3 4 1 9
9 0 1 2 3 4 5 6 7 8

Sample Output

9 1 9 2 3 0 8

Sample Explanation

The digits to be encrypted in the second line are, in order: $0, 2, 0, 3, 4, 1, 9$.

The codebook in the third line is, in order: $9, 0, 1, 2, 3, 4, 5, 6, 7, 8$.

Its meaning is:

• $0$ becomes $9$
• $1$ becomes $0$
• $2$ becomes $1$
• $3$ becomes $2$
• $4$ becomes $3$
• $5$ becomes $4$
• $6$ becomes $5$
• $7$ becomes $6$
• $8$ becomes $7$
• $9$ becomes $8$

Therefore, according to the mapping:

• the 1st digit $0$ becomes $9$
• the 2nd digit $2$ becomes $1$
• the 3rd digit $0$ becomes $9$
• the 4th digit $3$ becomes $2$
• the 5th digit $4$ becomes $3$
• the 6th digit $1$ becomes $0$
• the 7th digit $9$ becomes $8$

The resulting encrypted digits are, in order: $9, 1, 9, 2, 3, 0, 8$, output separated by spaces.

Constraints

The number of digits to be encrypted does not exceed $20000$, and each digit is between $0$ and $9$; the digits in the codebook are distinct and are all between $0$ and $9$.