Word square

A word square of order k is a matrix of k × k letters in form that in
each row and in each column a word of the dictionary appears and that
the same words are read horizontally and vertically. For instance, below
some word squares of order three to eight are given:

      B I T    C A R D    H E A R T    G A R T E R    B R A V A D O    L A T E R A L S
      I C E    A R E A    E M B E R    A V E R S E    R E N A M E D    A X O N E M A L
      T E N    R E A R    A B U S E    R E C I T E    A N A L O G Y    T O E P L A T E
               D A R T    R E S I N    T R I B A L    V A L U E R S    E N P L A N E D
                          T R E N D    E S T A T E    A M O E B A S    R E L A N D E D
                                       R E E L E D    D E G R A D E    A M A N D I N E
                                                      O D Y S S E Y    L A T E E N E R
                                                                       S L E D D E R S

Write a program that reads a dictionary and prints if various matrices
of characters are or are not word squares.

Input

Input has two parts:

- The first part is a dictionary of n words. First, the value of n is
  given. Then, n words of the dictionary (all in uppercase letters) come
  in lexicographical order.

- The second part is various matrices of characters. Each matrix starts
  with an integer k that indicates the number of rows and columns and
  continues with k² characters (all uppercase letters) arranged in k
  rows and k columns. The value k = 0 indicates the end on the input.

Output

For each matrix of the input, print “YES” if forms a word square using
some of the dictionary words and must print “NO” otherwise.

Observation

In private test data is used a dictionary derived from
@/usr/share/dict/words@ with four hundred thousand words and a thousand
of matrices are tested.

Problem information

Author: Unknown
Translator: Carlos Molina

Generation: 2026-01-25T11:56:21.870Z

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