# 2172. Censorship

As part of the new educational reform program, the CS department has decided to engage in censorship of school texts. In this problem, you must help the department by writing a program which eliminates from an input text string all occurrences of strings from a set of words to be filtered. More formally, a word w can be removed from another string s if w is a substring of s (i.e., the char-acters of w appear consecutively in s). Given a text string s and a set T of words to be filtered, return the length of the shortest possible string that can result from iteratively removing words in T from s. Each word in T may be removed from s an unlimited number of times.

### 输入格式

The input test file will contain multiple cases, with each case on a single line of input. Each test case begins with a single integer n (where 1 ≤ n ≤ 50) indicating the size of the set T followed by a text string s to be processed. Then, n strings t1 . . . tn indicating the words of T follow. The text string and all of the filter words are guaranteed to contain only the characters ‘a’ through ‘z’ and will have lengths between 1 and 50. All filter words will be unique. Input is terminated by a single line containing the number 0; do not process this line.

### 输出格式

For each test case, print a single integer indicating the minimum length resulting string possible.

### 样例

Input
1 ccdedefcde cde
3 aabaab aa ba ab
3 aabaab aa ba bb
0

Output
1
0
0
Hint:
Possible reductions giving the lengths shown for the three sample inputs are:
ccdedefcde → cdefcde → fcde → f
aabaab → baab → ab → #
aabaab → baab → bb → #,
where # denotes the empty string.


1 人解决，3 人已尝试。

2 份提交通过，共有 6 份提交。

9.9 EMB 奖励。