A8981. Good Substrings

Smart Beaver recently got interested in a new word game. The point is as follows: count the number of distinct good substrings of some string $s$ . To determine if a string is good or not the game uses rules. Overall there are $n$ rules. Each rule is described by a group of three $(p,l,r)$ , where $p$ is a string and $l$ and $r$ $(l<=r)$ are integers. We’ll say that string $t$ complies with rule $(p,l,r)$ , if the number of occurrences of string $t$ in string $p$ lies between $l$ and $r$ , inclusive. For example, string "ab", complies with rules ("ab", $1$ , $2$ ) and ("aab", $0$ , $1$ ), but does not comply with rules ("cd", $1$ , $2$ ) and ("abab", $0$ , $1$ ).

A substring $s[l...\ r]$ $(1<=l<=r<=|s|)$ of string $s=s_{1}s_{2}...\ s_{|s|}$ ( $|s|$ is a length of $s$ ) is string $s_{l}s_{l+1}...\ s_{r}$ .

Consider a number of occurrences of string $t$ in string $p$ as a number of pairs of integers $l,r$ $(1<=l<=r<=|p|)$ such that $p[l...\ r]=t$ .

We’ll say that string $t$ is good if it complies with all $n$ rules. Smart Beaver asks you to help him to write a program that can calculate the number of distinct good substrings of string $s$ . Two substrings $s[x...\ y]$ and $s[z...\ w]$ are cosidered to be distinct iff $s[x...\ y]≠s[z...\ w]$ .

The first line contains string $s$ . The second line contains integer $n$ . Next $n$ lines contain the rules, one per line. Each of these lines contains a string and two integers $p_{i},l_{i},r_{i}$ , separated by single spaces ( $0<=l_{i}<=r_{i}<=|p_{i}|$ ). It is guaranteed that all the given strings are non-empty and only contain lowercase English letters.

The input limits for scoring 30 points are (subproblem G1):

- $0<=n<=10$ .
- The length of string $s$ and the maximum length of string $p$ is $<=200$ .

The input limits for scoring 70 points are (subproblems G1+G2):

- $0<=n<=10$ .
- The length of string $s$ and the maximum length of string $p$ is $<=2000$ .

The input limits for scoring 100 points are (subproblems G1+G2+G3):

- $0<=n<=10$ .
- The length of string $s$ and the maximum length of string $p$ is $<=50000$ .

Print a single integer — the number of good substrings of string $s$ .

There are three good substrings in the first sample test: «aab», «ab» and «b».

In the second test only substrings «e» and «t» are good.