Ozone Hole (Straight-Sum Arrows)
(Published on 6. August 2021, 01:00 by manushand)
- Standard Sudoku Rules Apply
- Straight-Sum Arrows
- The digit in an arrow-circle is the sum of the digits in every distinct arrow-path emanating from the circle to reach any arrowhead, including only the square(s) in which the arrow does not bend (this includes the arrow-tips, of course).
IN OTHER WORDS (thank you, @kublai): The digit in a circle is the sum of all possible arrows connected to that circle, where the value of an arrow is the sum of cells along the arrow in which the path does not bend (always including the arrowhead).
PUT ANOTHER WAY (thank you, @SKORP17): The number in each circle is the sum of all the numbers in the squares on all arrows that start from this circle. However, only the squares in which the arrow does not turn are counted; that is, only the squares that the arrow runs through completely, whether horizontally, vertically or diagonally. Digits in arrow-tip squares are always counted.
FOR EXAMPLE: The digit in R6C2 does not count in the sum for the arrow-circle at R7C1 (because the arrow from that circle bends when passing through that square). The R7C1 square contains the sum only of the two arrow-tip squares, R5C2 and R6C1. The digit in R6C2 does count in the sum for the digits in both of the circles in R8C3 and R9C3, because the arrow-paths that lead from those circles to the arrowhead do not change direction while passing through R6C2. - Difference Dots
- Digits in the squares on either side of an unfilled dot are consecutive; one of them is one greater than the other.
- Solve Online
- f-puzzles
Solution code: Row 7 then Column 3
Comments
on 15. August 2021, 00:28 by manushand
Der deutsche Text wurde aktualisiert (nochmals vielen Dank, @SKORP17!)
on 11. August 2021, 03:44 by manushand
Updated the German language description (thank you again, @SKORP17 !)
on 9. August 2021, 17:15 by manushand
Updated description text to match second Straight-Sum Arrow puzzle, and added German-language description. Thank you, @SKORP17!
on 9. August 2021, 00:05 by SKORP17
gilt hier eigentlich dieselbe Regel wie bei dem 2. Rätsel (der Text ist etwas anders!)
on 6. August 2021, 17:25 by SKORP17
etwas irritiert mich
R7C6, die dortige "Kreuzung" sieht merkwürdig aus, aber die Circles in R6C6 und R8C8 können doch nur mit dem Pfeil in R9C9 enden?
manushand: Ja, das Auftreten der Kreuzung in R7C6 irritiert mich auch. Es ist das Beste, was f-Puzzles leisten können. Sie haben Recht, dass alle drei Kreise R6C6, R9C5 und R8C8 sich in R7C6 verbinden und gemeinsam durch R8C6 weitergehen, bis sie bei R9C9 enden.
UPDATE: Ich habe einen Grafikeditor verwendet, um das irritierende Aussehen von R7C6 im Bild auf dieser Seite anzugehen, aber es wird natürlich immer noch die unglückliche zusätzliche Ecke bei f-Puzzles haben.
on 6. August 2021, 11:02 by marcmees
nice idea. Well executed. thanks.
@SKORP17: yes.
I suppose the "unubersichtlich" aspect of the puzzle is part of the puzzle. :-)
