Equality Cages 119: Friendly, hostile, and neutral cages

by gUBBLOR by gUBBLOR

CASE 3431

Equality Cages 119: Friendly, hostile, and neutral cages

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  • Equality cages

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.

Friendly, hostile, and neutral:

  • Green cages contain only friendly cells. Friendly cells have to match either their row, column, or box. I.e. if R1C6 was friendly, it would have to be 1, 6, or 2 (as it is in row 1, column 6, and box 2).
  • Red cages contain only hostile cells. Hostile cells CAN NOT match their row, column or box. I.e. if R1C6 was hostile, it could never be 1, 6, or 2.
  • Yellow cages are neutral, and exactly half the cells are friendly, and the other half are hostile.