Tag Archives: skyscrapers

Puzzle 149: Skyscrapers²

The WPC 2017 in Bengaluru is over. Here’s a puzzle from my very thin set of preparation puzzles. It’s from a round with original types that applied the same set of rules “twice over” in a sense.

Rules Solve the grid as a regular skyscrapers puzzle, digits 1 through 5. In addition, small clues in the outer corners are skyscraper clues for the regular skyscraper clues along the outside. These 20 regular syscrapers clues are part of the solution.

For example, the regular skyscraper clues along the left side could be something like 1,3,5,2,2 to satisfy the second-level 3 clue in the top left corner.

Or see the rules of Round 20: Puzzle Fusion in the WPC instruction booklet, available at the WPC page. You can find an example there, too.

You can check your solution and solve online here.

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Puzzle 120: Hochhausblöcke

Some more Hochhausblöcke. In other news, the 10×10×10 series on croco-puzzle continues, and I submitted a few puzzles to the excellent puzzlepicnic, including a Fences puzzle where I’m curious to know if people find the intended break-in, and a Yajilin.

hochhausblock1

Rules Place numbers from 1 to 4 in each cell so that each row and column of each 4×4-block contains all numbers 1 to 4. Circled numbers are valid skyscraper clues for the adjacent grid (for both adjacent grids in the central corners). Uncircled numbers are not valid skyscraper clues for the adjacent grid (for neither adjacent grid in the central corners).

Puzzle 119: Skyscrapers (with parks)

Here’s a skyscrapers puzzle. This is from a batch of puzzles I recently made for a series on croco-puzzle, consisting of 10 puzzles on 10×10 grids. I thought it was a nice opportunity to try my hands at making a large skyscraper puzzle, after some failed attempts in the past. The difficulty turned out such that it didn’t really fit with the rest of the series, so here you go.

Buildings of size 1-9 and one park (gap, invisible) per row and column.

skyscraper-gross-1

Puzzles 107, 108: Hochhausblöcke

To make it a full two weeks of post-LM posts, here are two more Hochhausblöcke. One with the maximal number of givens, one with the minimal number. (There are some more of each, but these are the nicer ones. The minimal one requires a well-placed deep case distinction, or I do at least.)

hochhausblock-max hochhausblock-min

Rules Place numbers from 1 to 4 in each cell so that each row and column of each 4×4-block contains all numbers 1 to 4. Circled numbers are valid skyscraper clues for the adjacent grid (for both adjacent grids in the central corners). Uncircled numbers are not valid skyscraper clues for the adjacent grid (for neither adjacent grid in the central corners).

Puzzle 99: Hochhausblöcke

Hochhausblöcke is a neat skyscraper variant that showed up in the Rätselportal round. They’ve usually been less regular, but from the instructions it was clear that the one on the competition would be an 8×8-grid. I thought there was a good chance of a puzzle without outside clues, and certainly the interactions involved there need more practice, so I tried to construct such a puzzle. I kept running into dead ends, started doubting that they exist at all, and threw the computer at the problem. It turns out that there’s a lot, but they’re rare enough: there’s a good 200000 excluding symmetries, or a little under 1% of all clueless grids you could write down. It should not be unreasonable to find one by hand. Here’s one.

hochhausblock-v

Rules Place numbers from 1 to 4 in each cell so that each row and column of each 4×4-block contains all numbers 1 to 4. Circled numbers are valid skyscraper clues for the adjacent grid (for both adjacent grids in the central corners). Uncircled numbers are not valid skyscraper clues for the adjacent grid (for neither adjacent grid in the central corners).