Logic Masters Deutschland e.V.

Expanding Universe

(Published on 6. January 2022, 23:07 by BellBear)

This is my second puzzle based on the idea of alternating sums and arrows. If you like it, check out Alternating Universe. For a hint for the break-in look under the puzzle.

Have fun and be creative!

Rules
  • Normal arrow sudoku rules apply (normal sudoku rules apply and numbers on an arrow sum up to the number in the attached circle).
  • Digits outside the grid show the alternating sum in that row/column. The alternating sum is calculated by alternatingly adding and subtracting digits (so if you have 123 456 789 in a row - in that order - its alternating sum is 1-2+3-4+5-6+7-8+9 = 5)
  • Digits can not repeat within a cage.
  • In cages the digital root of the cage total is given as a hint in the top left corner (so if you have a cage with 3, 4 and 8 than the hint will be 6 since 3+4+8 = 15 and 1+5 = 6).
  • A number in a circle between 4 cells says that diagonally adjacent cells have a difference of at least that number (so if there is a 4 between r1c1, r1c2, r2c2 and r2c1, then r1c1 and r2c2 as well as r1c2 and r2c1 have a difference of at least 4).
Link to this puzzle in F-Puzzles

Link to this puzzle in CTC app

Hint: Find out the sum of the cells in the even rows even columns and the cells in the odd rows odd columns.

Solution code: Row 3 followed by column 9 (18 digits, no spaces)

Last changed on on 7. January 2022, 09:50

Solved by SKORP17, Jooshy, jsalomon, qoala
Full list

Comments

on 15. August 2026, 21:39 by qoala
Beautiful solve. Loved how everything worked together.

on 12. August 2026, 09:55 by Jooshy
This was one of the greatest puzzles I've ever solved, you absolutely showed off your setting skills with this puzzle, to the point where I could see the exact solve path you intended. I was astonished during the entire solve, amazing.

So glad to be the first real solver of this puzzle. Thanks for sharing and hats off to you.

on 7. January 2022, 09:50 by BellBear
Labels adjusted.

Difficulty:4
Rating:N/A
Solved:4 times
Observed:11 times
ID:000837

Puzzle variant Math knowledge Solving hints Online solving tool

Enter solution

Solution code:

Login