Logic Masters Deutschland e.V.

Matroschka, grosse Version

(Published on 5. February 2016, 18:00 by pirx)

The Matryoshka contains four puzzles. None of the puzzles is unique by itself, only together the puzzles yield a unique solution.

Kakuro
Place a digit from 1 to 9 into each white cell. The numbers in grey cells indicate the sum of digits in the corresponding "word". Within a word, a digit can not appear more than once.

For the solved Kakuro:
  • Write the numbers in cells with circles into the corresponding fields of the Nurikabe puzzle,
  • All other cells have no meaning for the Nurikabe.

7x7-grid: Nurikabe
Shade some empty cells black so that the grid is divided into white areas, each containing exactly one number (cells with circles, you get the numbers from the Kakuro) and with the same area in cells as that number. Two white areas may only touch diagonally. All black cells must be connected with each other, but no 2×2 group of cells can be entirely shaded black.
Remark: One blackened cell is already given.

For the solved Nurikabe:
  • Write the the size of each white area in all its cells,
  • Remove the first and last row,
  • Remove the first and last column,
  • All numbers in the remaining 5x5-grid are clues for the Fillomino puzzle. Blackened cells have no meaning.

5x5-grid: Fillomino
Divide the grid into several areas and fill in a number into each square. Within each area, all numbers must be the same and be equal to the number of squares of that area. Areas of same size may touch each other only diagonally. Given numbers may belong to the same area, and there may be areas from which no number is given at all, even with higher numbers than all the given ones.

For the solved Fillomino:
  • Remove the first and last row,
  • Remove the first and last column,
  • All numbers in the remaining 3x3-grid are clues for the Arrows puzzle.

3x3-grid: Arrows
Place arrows into the empty squares, pointing into one of eight possible directions (horizontally, vertically, diagonally). Each arrow must point to at least one number; each number indicates the number of arrows pointing to it.


The thick black dots are meant to help you make the connection between the grids.


Solution code: Kakuro: The second to last row (8 numbers).
Nurikabe: Column 5; the size of the corresponding island for white cells, 0 for black cells (7 numbers).
Fillomino: Row 2.
Arrows: The number of arrows pointing up right, followed by down right, down left, up left (4 numbers).

Last changed on -

Solved by rob, r45, tuace, moss, ibag, Zzzyxas, ildiko, Krokofant, zorant, Luigi, Babsi, Statistica, sf2l, cornuto, Alex, zuzanina, karzym, ch1983, ffricke, pin7guin, BFaw, dm_litv, AnnaTh, ManuH, matter, darksida, pandiani42, Uhu, Joe Average, jirk, Ours brun, Krokant, misko, Mark Sweep, polar, 85392, Kekes, Errorandy, fjam, ClashCode, Bellsita, Myxo, Agent
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Comments

on 13. March 2020, 10:51 by Krokant
Reibungslos ineinander verschachtelt, das ist echte Handwerkskunst. :)

on 2. March 2016, 09:44 by dm_litv
Incredibly creative!

on 15. February 2016, 20:20 by Alex
Genial und spannend bis zur letzten Minute

on 13. February 2016, 10:47 by sf2l
majestic, thank you

on 7. February 2016, 01:26 by ibag
Wirklich wunderbar verwickelt!

on 6. February 2016, 11:41 by tuace
Klasse Rätsel, und schön tricky! :)

on 6. February 2016, 08:17 by r45
Ein Wahnsinn in positivem Sinne, vielen Dank.

Difficulty:5
Rating:97 %
Solved:43 times
Observed:4 times
ID:0002DJ

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