Given a string S. Find the sum of the values of the prefix function for all given positions of the string S.
Input
The first line of the input file contains the string S (\(1 <= |S| <= 150 000\)) and k (number of specified positions).
Followed by k numbers - positions, the values of the prefix function of which must be added.
Output
Output a single number in the output file - the sum of the values of the prefix function for all specified positions of the string S.
Examples
| # |
Input |
Output |
| 1 |
abacaba 2
3
7
|
4 |