Logic Masters Deutschland e.V.

The Fillomino Frog 2

(Eingestellt am 1. März 2025, 23:51 Uhr von Die Hard)

Introduction

Our friend the fillomino frog hops again!

Rules

Divide the grid into regions of 1 to 9 cells, each filled with their size, such that no two regions of the same size share an edge.

Find a path for the frog to reach the mosquito such that:

  • It always hops orthogonally one cell at a time.
  • In every 3 cells it visits, it always visits a low (1, 2, 3), middle (4, 5, 6), and high (7, 8, 9) digit.
  • Adjacent pairs of digits on the path sum to a prime.
  • It never visits the same fillomino region more than once.

Please leave a comment if you enjoy this puzzle.

Lösungscode: The nine digits in column nine.


Gelöst von Jesper, Azumagao, Snookerfan, SKORP17, AzureFire, askaksaksask, willi, Grausbert, jessica6, dogfarts, misko, BeeBoi, johnyzzh, MagnusJosefsson, Taeqle, jkuo7, slamwich
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Kommentare

Zuletzt geändert am 2. März 2025, 21:09 Uhr

am 2. März 2025, 21:08 Uhr von askaksaksask
I think this is really, really well done. There is certainly some global work to ponder before you can dive in, and i don't think the global theorems are immediate either. For that reason I might place this at 4*, but mileage may vary. Otherwise, a beautiful and fun puzzle that rewards some prerequisite, first principles logic with a much more accessible solve path. Thank you for this!

am 2. März 2025, 11:31 Uhr von Snookerfan
Very nice puzzle! Understanding the implications of the constraints was all I needed for an incredibly smooth solve. Very well set and a must solve for people who are not to familiar with filomino. Thank you

Schwierigkeit:4
Bewertung:95 %
Gelöst:17 mal
Beobachtet:2 mal
ID:000M8B

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Lösungscode:

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