Enigma 1476

Posted on: Friday 11/1, 2008;  3:43 PM

Generate lists of all perfect squares with 1, 2, 3, and 4 digits. Split each perfect square into its component digits.

Define the Portugese words, and compute the word lengths.

Split the words into their constituent letters, and then convert these to symbols so they can be manipulated algebraically.

Construct a list of all of the symbols that occur.

Compute a list of the locations where each of the basic symbols occur in the words.

Clear out any preassignment to x, which is going to be used as a temporary variable to stand for the list-of-lists of the symbol values chosen in wordsymbols.

Compute a Boolean expression that guarantees that assignments to each symbol are the same for different instances of the same symbol in wordsymbols.

Compute a Boolean expression that guarantees that the assigments to the symbols are different for different symbols in wordsymbols.

Construct a list-of-lists, where the list (in the list-of-lists) is the list of possible solutions for the list in wordsymbols. The set of all solutions is the outer product of the lists in this list-of-lists.

Compute a list of Boolean values that specify the validy of each candidate solution in the outer product of solutions.

Determine which solutions are valid. There is only one valid solution.

Display the solution.

Compute the required numerical value from the solution.

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