ADASEQEN - Ada and Subsequence

Ada the Ladybug has two string which she wants to give to her friends. As she doesn't want to distinguish between them, she wants to use only some common subsequence. Firstly she wanted to simply use the longest common subsequence but then she realized it wouldn't be kosher.

She assigned a positive value to each letter. Now she wants to find the most expensive subsequence.

Input

The first line of each test-case will contain two integers 1 ≤ N, M ≤ 2000, the length of each subsequence.

The next line will contain 26 integers (1 ≤ Pi ≤ 105), the price of each letter.

The next line will contain string of length N consisting of lowercase English alphabet.

The next line will contain string of length M consisting of lowercase English alphabet.

Output

For each test-case, print the cost of the most expensive common subsequence.

Example Input

4 4
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
abcd
dbca

Example Output

2

Example Input

3 3
1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
baa
aab

Example Output

7

Example Input

4 5
1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6
zbbz
bbzbb

Example Output

14

Example Input

3 3
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
abc
def

Example Output

0

Added by:Morass
Date:2017-10-08
Time limit:2s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:Tunisian Collegiate Training Contest - Round #01

hide comments
2021-06-12 09:34:32
Just a Straight forward LCS .
2020-11-17 01:44:35 Rafail Loizou
Use your functions stack memory N*M array will fit. Or you can get TLE instead.
2020-11-16 14:33:50
You have to find subsequence. Not substring.
2020-05-29 08:42:57
AC in one go! YEAH BOI ;)
2020-05-10 19:37:13
AC in 1 go!
2019-12-29 19:28:36
cakewalk!
2019-08-07 09:51:45
Does anyone know why getting SIGSEV error in test case 15.
2019-07-18 17:57:14
Is it required to generate all common subsequences?? If yes, someone give me a hint. Thanks in advance.
2018-12-05 20:10:47
Just LCS.
2018-11-21 09:16:45
my code is working fine in codeblocks but is showing WA in Online Judge, pls help.
http://discuss.spoj.com/t/https-www-spoj-com-problems-adaseqen/31209
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