Drillinge

[pin7guin]

CHESS PLACEMENT, HASHIWOKAKERO, LIGHTHOUSES (points 50+4)

Chess Placement: Place 5 chess figures (a King (K), a Queen (D), a Rock (T), a Bishop (L) and a Knight (S) – in the example only a King and a Knight) on free cells. They must not attack each other.
Some of the fields with circles were attacked by at least one of the chess figures. The numbers in this circles show how many times the field is attacked. A chess figure or a field with a circle is attacked by another chess figure, when the chess figure can move to the field with the circle or to the other chess figure. Everything that stands in the way is ignored.

Hashiwokakero: Connect all islands (the fields with circles, which are not attacked by any chess figure) with bridges. Every island can be reached on bridges from any other island of the grid. The bridges can only be horizontally and vertically, must be at least one field long, cannot cross or overlap with another bridge, with a chess figure, a lighthouse, or another island. Two islands can be connected by a maximum of 2 bridges. The numbers on the islands show how many bridges start at this island.

Lighthouses: Draw ships in some of the still empty fields. A ship cannot touch another ship or a lighthouse, not even diagonally. The numbers on the lighthouses indicate how many ships can be seen from this lighthouse in horizontal or vertical direction. It is not important if between the lighthouse and the ship there is something else. All the ships must be seen from at least one lighthouse.

Solution Code: Write the number of ships, row by row.
In the example the correct answer would be 10010.

[pin7guin]

PARTITION, IRREGULAR SUDOKU, MAGNETS (Points: 50+1)

Partition: Split the big part in the middle of the grid in 4 congruent parts. The parts can be mirrored and rotated.

Irregular Sudoku: Insert the digits from 1 to 5 (in the example 1 to 2) in the grid so that in every row, column and in each of the outlined areas, every digit occurs exactly once.

Magnets: Split in every outlined region the fields without digits in plates of the size 1x2. Fill these plates with neutral (black) and magnetic plates. Magnetic plates have the two poles plus “+” and minus “-“. Parts of the plates with the same polarity (plus or minus) cannot touch each other orthogonally. The numbers outside the grid show how many positive and negative poles are found in the corresponding row or column.

Solution Code: The 4. row. Write a vertical line (“|”) for a border of an outlined region, the digits, the “+” and “-“ for the poles of the magnets and “N” for a neutral field.
For the example the solution would be -|N-|12|-

[pin7guin]

CAVERN, MOSAIC, TETRIS PARTITION (Points: 50+7)

Cavern: Draw a single, closed loop along the dotted lines. Blacken all cells outside the loop.
Some of the numbers are inside the loop. These numbers show how many fields of the cavern can be seen from that field in all directions, horizontal and vertical, until a black cell or the boundary of the grid is reached. The cell with the number itself is included in this number of seen fields. There is no 2x2-area inside the loop.

Mosaic: All the remaining numbers show how many of the cells, which are at a maximum distance of one cell (i.e.: the cell itself, those vertically and horizontally adjacent, and the 4 diagonally adjacent cells) are to be blackened. Cells with digits can also be blackened.

Tetris Partition: Draw lines along the dotted lines, so that all the white area is split in tetromino forms.

Hint: Outlined areas are always either completely black or completely white.

Solution Code: The top (1.) row and the bottom (12.) row. Write S for a black cell, W for a white cell, and ignore the numbers.
For the example the solution would be WWWWWSWWWW.

[rakesh]

For the last puzzle set (CAVERN, MOSAIC, TETRIS PARTITION), are the mosaic instructions (in english, as above) complete? I am unable to understand the logic for placement of 5 and the second 4 as they have, in their neighbourhood, 2 and 5 cells respectively which are black

[Calavera]

For the last puzzle set (CAVERN, MOSAIC, TETRIS PARTITION), are the mosaic instructions (in english, as above) complete? I am unable to understand the logic for placement of 5 and the second 4 as they have, in their neighbourhood, 2 and 5 cells respectively which are black

I currently don't have the example at hand, but is it possible, that you missed the word "remaining"? So not all numbers fulfill the mosaic rules only the ones outside the loop.

[rakesh]

Thanks. You are right.

[rakesh]

One more doubt in the same set. The 6 is inside the loop but it sees only three cells vertically or horizontally.

[Calavera]

You are right and the translation is wrong about this detail.

It should be: Some of the numbers inside the loop show how many [...] All the remaining numbers...

[berni]

With other words: The numbers outside the loop always belong to the mosaik, the numbers inside the loop might belong to the mosaik or to the cave.

PS: By the way, thanks to all the translators!

[Calavera]

Edit: Diese Posting hat sich erübrigt.

Ist es möglich, dass das Beispiel vom Drilling Zickzackweg, Rechteckszerlegung, von 1 bis 14 nicht eindeutig lösbar ist?

Beim Testlösen bin ich auf folgende Lösung gekommen:

Rechteck 4 ist identisch. Rechteck 6 geht zwei Felder weiter nach rechts. Rechteck 2 ist demnach ein Feld weniger hoch. Über Rechteck 6 befindet sich genauso breit Rechteck 5. Auf der rechten Seite befindet sich ein kleines Quadrat unten rechts und darüber ein Rechteck, das den Rest ausfüllt. In einem steht eine 1 im anderen eine 3.
Damit sind wie in der Beispiellösung die Kreise 6 und 10 links unten erfüllt. Darüber hinaus wird noch der Kreis 12 erfüllt. Andere Kreise befinden sich nicht an Kreuzungen.

Übersehe ich etwas?


Schönen Gruß,

Calavera