A9930 | Mike and Friends

What-The-Fatherland is a strange country! All phone numbers there are strings consisting of lowercase English letters. What is double strange that a phone number can be associated with several bears!

In that country there is a rock band called CF consisting of $n$ bears (including Mike) numbered from $1$ to $n$ .

Phone number of $i$ -th member of CF is $s_{i}$ . May 17th is a holiday named Phone Calls day. In the last Phone Calls day, everyone called all the numbers that are substrings of his/her number (one may call some number several times). In particular, everyone called himself (that was really strange country).

Denote as $call(i,j)$ the number of times that $i$ -th member of CF called the $j$ -th member of CF.

The geek Mike has $q$ questions that he wants to ask you. In each question he gives you numbers $l,r$ and $k$ and you should tell him the number


The first line of input contains integers $n$ and $q$ ( $1<=n<=2×10^{5}$ and $1<=q<=5×10^{5}$ ).

The next $n$ lines contain the phone numbers, $i$ -th line contains a string $s_{i}$ consisting of lowercase English letters ().

The next $q$ lines contain the information about the questions, each of them contains integers $l,r$ and $k$ ( $1<=l<=r<=n$ and $1<=k<=n$ ).

Print the answer for each question in a separate line.