Enigmatics

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.

"BE3409055034_1.gif"

"BE3409055034_2.gif"

Define the Portugese words, and compute the word lengths.

"BE3409055034_3.gif"

"BE3409055034_4.gif"

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

"BE3409055034_5.gif"

"BE3409055034_6.gif"

Construct a list of all of the symbols that occur.

"BE3409055034_7.gif"

"BE3409055034_8.gif"

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

"BE3409055034_9.gif"

"BE3409055034_10.gif"

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.

"BE3409055034_11.gif"

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

"BE3409055034_12.gif"

"BE3409055034_13.gif"

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

"BE3409055034_14.gif"

"BE3409055034_15.gif"

Construct a list-of-lists, where the "BE3409055034_16.gif" list (in the list-of-lists) is the list of possible solutions for the "BE3409055034_17.gif" list in wordsymbols. The set of all solutions is the outer product of the lists in this list-of-lists.

"BE3409055034_18.gif"

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

"BE3409055034_19.gif"

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

"BE3409055034_20.gif"

Display the solution.

"BE3409055034_21.gif"

Compute the required numerical value from the solution.

"BE3409055034_22.gif"

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