#P1475. SUFFIX

SUFFIX

    A string is a list of characters containingonly letter ‘a’ to ‘z’. For example: “abcdefg”, “isun” are valid strings. “rocket323”is not a valid string.  Asuffix of a string suf[i] is the list of characters at positions from i to n-1(positions are labeled from 0 to n – 1, n is length of the string). For thestring “hustacm”, suf[0] = “hustacm”, suf[1] = “ustacm”, suf[3] = “tacm”,suf[6] = “m”. Thesuffix list L of a string is a permutation of numbers from 0 to n-1(n is lengthof the string), which satisfy the following condition: suf[L[0]] < suf[L[1]] < suf[L[2]]< … < suf[L[n-1]]. Forthe string “aabac”, its suffix list is [0, 1, 3, 2, 4].

       Herecomes the question: Given a string S and a suffix list L, you are to changeminimum number of characters of S so that the suffix list of the new string isequal to L.

Input

There are multiple cases, for each case:
The first line is integer n representing the length of the string. (1 <= n <= 500)
The second line is the string.
The third line is a permutation of numbers from 0 to n-1.

Output

For each case, output the minimum number of characters to change in order to satisfy the condition above, if there is no solution, just output -1.

Sample Input

3
abc
0 1 2
3
aab
2 0 1

Sample Output

</p>
0
2

HINT

Source