Assume that SQUARE, CARRE, and QUADRAT are alphametic squares, that is, that their component letters (accents being ignored) can be replaced by a mutually consistent, non-duplicating set of base-10 digits, with no leading zeroes. Prove that there is in fact no set of numbers by which these letters can be so replaced.

Alternatively, provide a solution to the alphametic.

CARRE  SQUARE

Edited on June 5, 2024, 1:44 am

Edited on June 5, 2024, 1:45 am

Posted by K Sengupta on 2024-06-05 01:43:58