Equality Cages 120: Parity?! It's called polarity!

by gUBBLOR by gUBBLOR

CASE 1569

Equality Cages 120: Parity?! It's called polarity!

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  • Equality cages
  • Kropki dots
  • XV and number dots
  • Parity lines

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.

X: Adjacent cells connected with an X must sum to 10. Not all X's are shown.

Polarity lines (green): Adjacent digits along each polarity line must alternate between low (6,7,8,9) and high (1,2,3,4). 5 can never be on a polarity line. Digits may repeat on the line.

Parity lines (red): Adjacent digits along each parity line must alternate between odd (1,3,5,7,9) and even (2,4,6,8). Digits may repeat on the line.

Equality Cages 120: Parity?! It's Called Polarity: Equality Cages Sudoku with a Twist! Contains the full solution
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