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#F2764. Little Elephant and Strings

    ID: 2770 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 9 上传者: 标签>数据结构模拟后缀结构双指针编程与模拟字符串算法思想挑战难度共享题库Codeforces英文题面题目来源题面语言

Little Elephant and Strings

题目描述

E. Little Elephant and Strings
time limit per test
3 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

The Little Elephant loves strings very much.

He has an array a from n strings, consisting of lowercase English letters. Let's number the elements of the array from 1 to n, then let's denote the element number i as ai. For each string ai (1≤in) the Little Elephant wants to find the number of pairs of integers l and r (1≤lr≤|ai|) such that substring ai[l... r] is a substring to at least k strings from array a (including the i-th string).

Help the Little Elephant solve this problem.

If you are not familiar with the basic notation in string problems, you can find the corresponding definitions in the notes.

Input

The first line contains two space-separated integers − n and k (1≤n,k≤105). Next n lines contain array a. The i-th line contains a non-empty string ai, consisting of lowercase English letter. The total length of all strings ai does not exceed 105.

Output

On a single line print n space-separated integers − the i-th number is the answer for string ai.

Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.

Examples
Input
3 1
abc
a
ab
Output
6 1 3 
Input
7 4
rubik
furik
abab
baba
aaabbbababa
abababababa
zero
Output
1 0 9 9 21 30 0 
Note

Let's assume that you are given string a=a1a2... a|a|, then let's denote the string's length as |a| and the string's i-th character as ai.

A substring a[l... r] (1≤lr≤|a|) of string a is string alal+1... ar.

String a is a substring of string b, if there exists such pair of integers l and r (1≤lr≤|b|), that b[l... r]=a.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2431 题。保留原作者与原赛事署名。