Equality Cages 129: Checkmate? Stalemate!

by gUBBLOR by gUBBLOR

CASE 3409

Equality Cages 129: Checkmate? Stalemate!

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  • Equality cages
  • Kropki dots

The brief

Normal Sudoku rules apply. Place the digits 1 through 9 in each empty cell. Digits must not repeat within the same row, column, or box.

Equality cages: Cages must have an equal number of low (1,2,3,4) and high (6,7,8,9) digits AND an equal number of even (2,4,6,8) and odd (1,3,7,9) digits. Equality cages can never contain 5. Digits may not repeat in a cage.

Kropki dots: A black dot between cells indicates cell values with a 2:1 ratio. Not all dots are shown.

Chess lines: Adjacent digits on a line must form a valid chess move by the indicated piece on a 3x3 numpad. Some examples of a given digit and all valid candidates for cells next to it on the line:

  • Knight (box 1+9): 3➔48, 7➔26
  • King (box 2): 1➔425, 8➔74569
  • Bishop (box 3+7): 2➔46, 7➔53
  • Rook (box 4): 5➔2468, 9➔7863
  • Pawn (box 6): 6➔39, 7➔4, 2➔5
  • Queen (box 8): 3➔125679, 4➔785612
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