S2T2

Jim Randell 8:35 am on 8 May 2026 Permalink Reply
Tags: by: Victor Bryant ( 147 )   

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  Jim Randell 8:36 am on 8 May 2026 Permalink | Reply

  Here is a solution using the [[ SubstitutedExpression ]] solver from the enigma.py library.

  The following run file executes in 92ms. (Internal runtime of the generated code is 10.2ms).

  #! python3 -m enigma -rr
  
  SubstitutedExpression
  
  # assign values from 1 - 26 to the grid:
  #
  #   A B C
  #   D E F
  #   G H I
  #
  # to make a magic square with sum 3E
  --distinct="ABCDEFGHI"
  --base="27"
  --digits="1-26"
  
  # rows sum to 3E
  "A + B + C == 3 * E"
  "D + F == 2 * E"
  "G + H + I == 3 * E"
  
  # cols sum to 3E
  "A + D + G == 3 * E"
  "B + H == 2 * E"
  "C + F + I == 3 * E"
  
  # diags sum to 3E
  "A + I == 2 * E"
  "C + G == 2 * E"
  
  # required values (S, A, M, E)
  "{1, 5, 13, 19}.issubset({A, B, C, D, E, F, G, H, I})"
  
  # remove symmetric arrangements
  "A < C" "C < G" "A < I"
  
  --template=""
  --answer="ordered(A, B, C, D, E, F, G, H, I)"
  

  The completed grid is:

  [ C  (3) | U (21) | I  (9) ]      [ S (19) | A  (1) | M (13) ]
  [ Q (17) | K (11) | E  (5) ]  ->  [ E  (5) | K (11) | Q (17) ]
  [ M (13) | A  (1) | S (19) ]      [ I  (9) | U (21) | C  (3) ]

  Each row, column and diagonal has a sum of 33.

  And the corresponding letters are: SAME (= 19, 1, 13, 5) + KQIUC (= 11, 17, 9, 21, 3).

  Solution: The word is: QUICK.

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