Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

B. Petr#

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputLong ago, when Petya was a schoolboy, he was very much interested in the Petr# language grammar. During one lesson Petya got interested in the following question: how many different continuous substrings starting with the *s*_{begin} and ending with the *s*_{end} (it is possible *s*_{begin} = *s*_{end}), the given string *t* has. Substrings are different if and only if their contents aren't equal, their positions of occurence don't matter. Petya wasn't quite good at math, that's why he couldn't count this number. Help him!

Input

The input file consists of three lines. The first line contains string *t*. The second and the third lines contain the *s*_{begin} and *s*_{end} identificators, correspondingly. All three lines are non-empty strings consisting of lowercase Latin letters. The length of each string doesn't exceed 2000 characters.

Output

Output the only number — the amount of different substrings of *t* that start with *s*_{begin} and end with *s*_{end}.

Examples

Input

round

ro

ou

Output

1

Input

codeforces

code

forca

Output

0

Input

abababab

a

b

Output

4

Input

aba

ab

ba

Output

1

Note

In the third sample there are four appropriate different substrings. They are: ab, abab, ababab, abababab.

In the fourth sample identificators intersect.

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/22/2017 09:10:41 (c3).

Desktop version, switch to mobile version.

User lists

Name |
---|