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It is possible to dissect any square drawn on a grid into smaller squares, by cutting along grid lines.


For example a 3 by 3 square can be dissected into either 9 smaller squares or 6 squares:



  • What is the minimum number of squares a 13 by 13 square can be dissected into?
     
  • What is the smallest size square which can be dissected into squares which are all different sizes?