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?

Input

The first line contains one integer n (1 ≤ n ≤ 2 ⋅ 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 ≤ f(i) ≤ 9).

Output

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

Examples

Input


4
1337
1 2 5 4 6 6 3 1 9


Output


1557


Input


5
11111
9 8 7 6 5 4 3 2 1


Output


99999


Input


2
33
1 1 1 1 1 1 1 1 1


Output


33
import os
import heapq
import sys
import math
import operator
from collections import defaultdict
from io import BytesIO, IOBase
# def gcd(a,b):
#     if b==0:

#         return a
#     else:
#         return gcd(b,a%b)Aa
def inar():
    return [int(k) for k in input().split()]
def main():
    # mod=10**9+7
    #for _ in range(int(input())):
    n=int(input())
    st=list(input())
    arr=inar()
    counter=0
    for i in range(n):
        num=int(st[i])
        if num<arr[num-1] and counter==0:
            counter=1
            st[i]=str(arr[num-1])
            continue
        if num<=arr[num-1] and counter==1:
            st[i] = str(arr[num - 1])
        else:
            if counter==1:
                break
            else:
                continue


    print("".join(st))









BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")

if __name__ == "__main__":
    main()