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 si. 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

Input The first line of input contains integers n and q (1 \le n \le 2 \times 105 and 1 \le q \le 5 \times 105).The next n lines contain the phone numbers, i-th line contains a string si 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 \le l \le r \le n and 1 \le k \le n).

Output Print the answer for each question in a separate line.