Logic Masters Deutschland e.V.

Are You Confused Yet? (Straight-Sum Arrows)

(Published on 8. August 2021, 08:25 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). So a cell may be counted multiple times for the same circle if it is on multiple arrow paths that do not bend in that cell.

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 circle in R2C5 is the sum of the digits along two arrow-paths. The first of these arrow-paths will include R1C6 and R2C7 into the sum, and the second path will add R1C6 (again!) and R2C8. The digits in the R1C5 and R1C7 squares are not counted in the sum for R2C5, since the arrow path(s) bend when passing through that square.

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Please try the first Straight-Sum Arrow Puzzle!
"Ozone Hole"

Solution code: Row 3

Last changed on on 11. August 2021, 03:47

Solved by kublai, marcmees
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Comments

on 11. August 2021, 03:47 by manushand
Revised German language description (thank you, @SKORP17 !)

on 9. August 2021, 04:51 by manushand
Added a link to the first Straight-Sum Arrow puzzle.

Last changed on 9. August 2021, 04:33

on 9. August 2021, 04:31 by e7odie
It took me a solid 5 minutes to understand the rules and now that I do all I can think is......why?

manushand: That made me laugh out loud. :-) Why indeed?

on 9. August 2021, 00:56 by manushand
Rätselbeschreibung auf Deutsch hinzugefügt (danke, @SKORP17!)

on 8. August 2021, 23:49 by manushand
Addressed issue raised by @marcmees (thank you!)

on 8. August 2021, 20:27 by manushand
Ich gebe zu, dass ich überrascht war, dass dieses Puzzle aktiv ist; Ich hatte vor, es für später in dieser Woche zu planen! Ich sehe, dass es bereits gelöst wurde und einige Diskussionen ausgelöst hat, die hoffentlich das Regelwerk klären werden. Ich wäre Ihnen sehr dankbar, wenn mir jemand eine klare und prägnante Beschreibung der Regeln in deutscher Sprache zur Verfügung stellen würde!

Last changed on 8. August 2021, 20:35

on 8. August 2021, 18:58 by Johannes Quack
@SKORP17: UND R2C1, stimmt's? Dann hab ich es wohl kapiert.

Von manushand: @SKORP17 ist richtig. R4C1=R3C1+R1C4. R2C1 (und R1C2 und R1C3 und R2C4) zählt NICHT zur Summe für den Kreis in R4C1, da sich der Pfeil beim Durchfahren von R2C1 verbiegt.

on 8. August 2021, 17:27 by kublai
Maybe this will help: 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 where the path does not bend (always including the arrowhead). So a cell may be counted multiple times for the same circle if it is on multiple arrow paths that do not bend in that cell.

Last changed on 8. August 2021, 10:23

on 8. August 2021, 09:28 by Johannes Quack
Mein Englisch ist jetzt nicht soo schlecht, aber ich verstehe das ruleset nicht. Kann das mal jemand, der‘s verstanden hat, im Kommentar auf deutsch übersetzen?

Difficulty:3
Rating:N/A
Solved:2 times
Observed:9 times
ID:000786

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