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≤2×10⁵ and 1≤q≤5×10⁵).

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.