Given a string and a pattern, your task is to count the number of positions where the pattern occurs in the string.

Input

The first input line has a string of length n, and the second input line has a pattern of length m. Both of them consist of characters a–z.

Output

Print one integer: the number of occurrences.

Constraints

• 1 \le n,m \le 10^6

Example

Input:

saippuakauppias
pp

Output:

2