Shifter Lines 114: Chess

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.

Shifter lines: Adjacent digits within the same box on a shifter line share both parity (even/odd) AND polarity (low/high). Whenever the line enters a new box either the parity OR the polarity shifts, never both. Shifter lines can never have 5 on it. Digits may repeat on lines.

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

Chess lines: All shifter lines are also 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 (R3C2+R3C7+R3C9): 3➔48, 7➔26
• King (R6C4+R8C3): 1➔425, 8➔74569
• Bishop (R1C3+R2C3+R6C5): 2➔46, 7➔53
• Rook (R6C2+R8C6): 5➔2468, 9➔7863
• Pawn (R1C7+R3C6): 6➔39, 7➔4, 2➔5
• Queen (R5C2): 3➔125679, 4➔785612