Linearum Summatio

by Dr Logic by Dr Logic

CASE 3277

Linearum Summatio

Not graded yet
  • Killer cages
  • Kropki dots
  • Region sum lines
  • Whisper lines

The brief

Normal sudoku rules apply.

Red lines are both 'zipper' and 'region sum lines', they obey both of the following:

Zipper: Digits equidistant from the marked centre of a zipper line must sum to the digit placed at the centre (if there is no marked centre, the sum is to be determined).

Region Sum Line: Box borders divide red and blue lines into regions that all sum to the same number. This sum is not necessarily the same for different lines.

German Whispers lines: Alternating digits along green German Whispers lines differ by at least 5.

Digits in a killer cage sum to the value in the top left (if given).

Cells separated by a white dot are consecutive.

No negative constraint on dots.

The digits on each instance of each constraint (except from the white dot!) must sum to the same number, this number is to be deduced by the solver.