Problem2733--CF519 - D. A and B and Interesting Substrings

2733: CF519 - D. A and B and Interesting Substrings

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

Description

A and B are preparing themselves for programming contests.
After several years of doing sports programming and solving many problems that require calculating all sorts of abstract objects, A and B also developed rather peculiar tastes.
A likes lowercase letters of the Latin alphabet. He has assigned to each letter a number that shows how much he likes that letter (he has assigned negative numbers to the letters he dislikes).
B likes substrings. He especially likes the ones that start and end with the same letter (their length must exceed one).
Also, A and B have a strings. Now they are trying to find out how many substringstof a stringsare interesting to B (that is,tstarts and ends with the same letter and its length is larger than one), and also the sum of values of all letters (assigned by A),except for the first and the last oneis equal to zero.
Naturally, A and B have quickly found the number of substringstthat are interesting to them. Can you do it?

Input

The first line contains $26$ integers $x_a,x_b,...,x_z\ (-10^5≤x_i≤10^5)$ − the value assigned to letters a,b,c,...,z respectively.
The second line contains string s of length between $1$ and $10^5$ characters, consisting of Lating lowercase letters− the string for which you need to calculate the answer.

Output

Print the answer to the problem.

Sample 1 Input

1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1
xabcab

Sample 1 Output

2
test strings satisfying the condition above are abca and bcab.

Sample 2 Input

1 1 -1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 8 1 1 1 1 1 1
aaa

Sample 2 Output

2
test strings satisfying the condition above are two occurences of aa.

HINT

CF519.

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