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Word Search

Interview

Time limit1sMemory limit128 MB

Summary
Given N database words compared in order against a query using character-by-character matching that also checks for word-end, compute total comparisons per query.
Level

Medium5 of 10

Topics
Trie, String, Simulation
Solved
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Problem

A database stores N words.

The search algorithm compares a query word W with the database words one by one, in the order they were given. When comparing two words, it starts from the first character and continues until it sees different characters or confirms that one of the words has ended. If it finds a word equal to W, the search stops immediately.

Assume that the length of a word is not known before the comparison. Therefore, even if every real character matched, the algorithm must compare the next position once more to determine whether the word has ended. For example, when comparing abc and abcd, the algorithm discovers that the words are different at the fourth position, where one word has already ended. When comparing abc and abc, it also needs the fourth comparison to confirm that both words ended there.

If the query word is not in the database, the search ends after comparing it with every database word. Given the database words and the query words, compute how many character comparisons are needed for each query.

Input

The first line contains the number of database words N. (1 <= N <= 30000)

Each of the next N lines contains one database word. Searches must use exactly this input order, and all database words are distinct.

The next line contains the number of query words Q. (1 <= Q <= 30000)

Each of the next Q lines contains one query word.

Every database word and query word consists only of lowercase English letters, and each length is less than 30.

Output

For each query word, print the number of character comparisons needed until that search finishes, one result per line.

Examples2

  1. Example 1

    Input
    5
    hobotnica
    robot
    hobi
    hobit
    robi
    4
    robi
    hobi
    hobit
    rakija
    
    Expected output
    12
    10
    16
    7
    
  2. Example 2

    Input
    8
    majmunica
    majmun
    majka
    malina
    malinska
    malo
    maleni
    malesnica
    3
    krampus
    malnar
    majmun
    
    Expected output
    8
    29
    14