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
alen = int(input())
a = input()
funcs = input().split()

# The idea would be to pick the starting number, and then pick the ending number
# 1 3 3 7
# 1 2 5 4 6 6 3 1 9
# 
# Go through each character in a
# 1
# 1 maps to 1
# If it's the equivalent number, continue
# If it maps into a lower number, continue
# (continue
# 3 maps to 5
# Now we have our starting number
# 3 maps to 5 again
# Add this to the contiguous sequence
# 7 maps to 3
# We stop since it maps to a number less than itself
# Do not add this to contiguous sequence
# Apply f to numbers [1-3)

start_index = None  # Inclusive
end_index = None    # Exclusive
ans = ""
for i, c in enumerate(a):
    ic = int(c)
    maps_to = int(funcs[ic-1])
    if not end_index:
        if ic < maps_to:
            
            start_index = True
            ans += str(maps_to)
            continue
        elif ic > maps_to:
            if start_index is not None:
                end_index = True
    ans += c
        

print(ans)
