CF1157B.Long Number

You are given a long decimal number $a$ consisting of $n$ digits from $1$ to $9$ . You also have a function $f$ that maps every digit from $1$ to $9$ to some (possibly the same) digit from $1$ to $9$ .

You can perform the following operation no more than once: choose a non-empty contiguous subsegment of digits in $a$ , and replace each digit $x$ from this segment with $f(x)$ . For example, if $a = 1337$ , $f(1) = 1$ , $f(3) = 5$ , $f(7) = 3$ , and you choose the segment consisting of three rightmost digits, you get $1553$ as the result.

What is the maximum possible number you can obtain applying this operation no more than once?

The first line contains one integer $n$ ( $1 \le n \le 2 \cdot 10^5$ ) — the number of digits in $a$ .

The second line contains a string of $n$ characters, denoting the number $a$ . Each character is a decimal digit from $1$ to $9$ .

The third line contains exactly $9$ integers $f(1)$ , $f(2)$ , ..., $f(9)$ ( $1 \le f(i) \le 9$ ).

Print the maximum number you can get after applying the operation described in the statement no more than once.