(Schere, Stein, Papier) Rock Paper Scissors #3 (9x9)
(Published on 17. June 2020, 04:36 by RockyRoer)
In the game Rock, Paper, Scissors (RPS) two players each choose to play either Rock, Paper, or Scissors to determine who wins. If both players choose the same thing, its a tie. Otherwise:
- Rock beats ("crushes") scissors
- Paper beats ("covers") rock
- Scissors beats ("cuts through") paper
In this sudoku puzzle, normal sudoku rules apply.
In addition, many rounds of RPS have been played between numbers in neighboring cells. The rock, paper, and scissors symbols that are shown between cells indicate which cells played and who won. (Note, not every combination of cells chose to play -- sometimes numbers were busy, scared, tired, or simply preferred to watch instead.) No ties are shown.
The numbers consistently chose the same thing every time they played, although we obviously don't know choice each number made, but I'm sure you can figure that out. (e.g. if 3 played rock, it played rock every time it played.)
Remarkably, and importantly, each number won exactly the number of games equal to itself. (e.g. 5 won five games total...)
I found it helpful to use three colored pencils to shade the boxes when solving.
Solution code: Row 6, and column 9, no spaces or commas in between.
Comments
on 24. March 2023, 13:35 by Vebby
Penpa+ link with answer check:
https://tinyurl.com/2n34oomu
on 16. August 2021, 16:33 by Mody
Danke für die rasche Antwort.
Thank you for the quick reply :)
on 16. August 2021, 15:18 by Mody
Da ich das Rätsel (und auch das erste dieser Art) mehrmals in einen Widerspruch geführt habe, bitte ich um Hilfe, ob ich die Regeln verstanden habe.
Das Symbol Stein zwischen Zeile 8, Spalte1 und Zeile 8, Spalte 2 zeigt an, dass dort eine Scherenziffer mit einer Steinziffer gespielt hat und dass der Stein gewonnen hat. Keinesfalls kann sich dort eine Papierziffer befinden. Richtig?
Das Symbol Papier zwischen Zeile9, Spalte 1 und Zeile 9, Spalte 2 zeigt an, dass dort eine Steinziffer mit einer Papierziffer gespielt hat und dass die Papierziffer gewonnen hat. Keinesfalls kann sich dort eine Scherenziffer befinden. Richtig?
Was ist mit der Ziffer in Zeile 4, Spalte 8., Dort muss eine Steinziffer sein, die nach links verloren hat, aber nach rechts gewonnen hat. Zählt das auch als Sieg für diese Ziffer?
Since I have led the puzzle (and also the first of this kind) several times into a contradiction, please help me if I have understood the rules.
The symbol stone between row 8, column1 and row 8, column 2 indicates that a scissors digit has played there with a stone digit and that the stone has won. Under no circumstances can there be a paper digit there. Correct?
REPLY: That is correct.
The symbol Paper between row 9, column 1 and row 9, column 2 indicates that a stone digit has played with a paper digit and that the paper digit has won. Under no circumstances can there be a scissors digit there. Correct?
REPLY: That is correct.
What about the digit in row 4, column 8? There must be a stone digit that lost to the left but won to the right. Does that also count as a win for this digit?
REPLY: Yes -- R4C8 must be rock, and therefore there's a series of cells you can determine from there. You would count that cell as having one victory. I suppose it also has one loss - but the number of losses a cell has is not relevant.
on 21. June 2020, 19:51 by Krokant
Another lovely variant from you that was fun to solve. Mixing up Sudoku with other games works surprisingly well.
on 20. June 2020, 07:11 by Big Tiger
Finding these to be just the right level of challenging for a pleasant evening. I have to think, but it's not so tricky that I have to spend 15 minutes hunting for the first digit.
on 17. June 2020, 14:02 by becaVuse
In a game of Rock-Paper-Scissors(RPS), two players can choose between rock, paper and scissors. The winner is determined by three rules:
- rock wins against scissors
- paper wins against rock
- scissors wins against paper
- (if both players choose the same object it ends in a draw)
In this Sudoku-Puzzle normal Sudoku-Rules apply.
Additionally some of the numbers played a game of RPS with their orthogonal neighbour. This is indicated by the depiction of the winning object between two cells. Draws are not shown and some cells just didnt play against their neighbour.
Every number n (when they played) choose the same object as every other number n.
Ontop of that all same numbers n won n of their combined games of RPS. (e.g. all fives combined won five games)
Edit: just finished puzzle, hard to get started but a very satisfying solve
on 17. June 2020, 10:04 by SirWoezel
Great fun.
