Wichtel 2018 (5): Japanische U-Bahn
(Published on 29. November 2019, 02:18 by wichtel)
Japanese subway
The chief gnome was just busy with collecting and sorting the gnome presents when he spotted a piece of paper sticking out from under the parcels. Carefully he pulled it out and threw a glance at it. O yes, a souvenir from his summer holidays in Japan. A subway plan. The plan of the line 2412. As a Christmas gnome he had necessarily to take it with him. But what was that in the background? In thick lines the stations and routes of the subway were drawn. And behind stood yes - numbers?! Excited he adjusted his reading glasses and took a closer look: The background was made up of he digits 1 to 9 - each once per row and column. Thence he got an idea: He grabbed a pencil and a piece of paper. Thereupon he draw a grid of size 9x9. On the right and underneath he noted for each type of route segments the number of their appearances. Just like in a normal subway puzzle.
On the left and above he wrote the sums of digits from one station to the next completely and in the right order; this means: the straight route parts either till the next corner or the next branch or crossing. In doing so he counted digits on straight segments once, on corners twice, on branches thrice and digits on crossings four times.
"Wonderful", he muttered as he folded the puzzle and put it into a red envelope with 24 golden stars on it , "now I add "Merry Christmas!" and then the present can be delivered on time".
Solution code: The values of the two main diagonals starting top left and top right.
Comments
on 10. August 2023, 13:25 by Piatato
Fun puzzle, not too hard either :)
on 10. December 2019, 08:02 by AnnaTh
Super schön. Tolle Idee!
on 4. December 2019, 10:27 by ffricke
Wo der Einstieg zu finden ist, war schnell klar, allerdings tat ich mich sehr schwer mit der anfänglichen Zahlenbelegung der Felder. Nach dieser ersten Hürde ließ sich das Rätsel sehr flüssig lösen. Danke für die schöne Konstruktion
on 2. December 2019, 11:04 by CHalb
Tolle Idee, viel Rechenarbeit für mich und ich hatte viel Spaß dabei.
on 30. November 2019, 20:36 by ManuH
Sehr schön!
on 30. November 2019, 20:03 by Statistica
Superklasse!
on 30. November 2019, 16:04 by Mody
Großartiges Rätsel und wunderschön zu lösen
on 30. November 2019, 14:44 by ibag
Wie schön! Und wie so oft ist es mal wieder nahezu unmöglich, den Urheber zu erraten. ;-)))
on 29. November 2019, 20:03 by ch1983
Großartig, herzlichen Dank!
on 29. November 2019, 19:58 by Mody
Oh, Du hast recht, irgendwie habe ich Geraden und Ecken verwechselt. Vielen Dank, das könnte meinen Widerspruch erklären ;)
on 29. November 2019, 17:33 by zuzanina
@Mody: Müsste die letzte Summe nicht 3*3+2*4=17 sein?
on 29. November 2019, 17:14 by Mody
Habe ich die Regeln richtig verstanden?
Wenn im U-Bahn-Beispiel des Puzzle-Wiki in der zweiten Zeile die Ziffern 1234 wären, dann lauten die dazugehörigen Summen 9, 15, 13?
on 29. November 2019, 10:53 by tuace
Das kann ich bestätigen. Vielen Dank nochmal. :)
on 29. November 2019, 10:28 by Joe Average
Das durfte ich im Dezember Test-Lösen. Tolles Rätsel! Der/die Beschenkte hat sich mit Sicherheit drüber gefreut.
