Equality Cages 134: Equality candy

by gUBBLOR by gUBBLOR

CASE 3398

Equality Cages 134: Equality candy

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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.

Ambigous dots: There are dots of four different colors in the puzzle, and four different constraints. It's up to the solver to deduce which color is paired with which constraint. Each color has only one constraint it identifies as, but dots are allowed to act as more than one constraint. There are no negative constraints, and the dots could be any of these four;

  1. X - Adjacent cells connected with an X must sum to 10.
  2. V - Adjacent cells connected with an V must sum to 5.
  3. Black Kropki dots - A black dot between cells indicates cell values with a 2:1 ratio.
  4. White Kropki dots - A white dot between cells indicates cells with consecutive values.