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문제

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 characters 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.

입력

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.

출력

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

예제 입력

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

예제 출력

1
0
0

힌트

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.