Equality Cages 104: Even the lines split their sums equally

by gUBBLOR · Difficulty 2 of 5 by gUBBLOR

CASE 1311

Equality Cages 104: Even the lines split their sums equally

More from gUBBLOR

  • Equality cages
  • Kropki dots
  • Region sum lines
  • Negative constraint

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. However, all dots WITHIN EQUALITY CAGES are shown.

Region sum lines: Digits along region sum lines have the same sum within each box the line passes through. I.e. if a line has 1,2,3 on it in one box, and only 1 digit in another box that digit has to be 6. If the line enters a third box with 2 digits on it, those would have to be either 2,4 or 1,5, so the total is 6 in all the boxes. Digits may repeat on lines.

Equality Cages: 104 Contains the full solution