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Skyscrapers: Clues of 1 and n

A clue of 1 sees only the first building, so it’s the tallest. A clue as big as the grid sees every building, so the line climbs 1, 2, 3 and so on from that end.

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This is the first of the Skyscrapers techniques. Each page shows its technique on the same 7×7 from the game, Hard level 1.

The rule

  1. Find every clue of 1: the square next to it holds the tallest building.
  2. Find every clue equal to the size of the grid: fill its line from that end, 1, 2, 3 and up.

In a real puzzle

On the 7×7 every technique page follows, it’s the very first move. Row 2 has a clue of 1 on the right: only the nearest building shows, so it’s the tallest, 7.

Step 1: a clue of 1 Row 2 has a clue of 1 on the right: only the nearest building shows, so it is the tallest, 7. 2 7 3 1 5 3 1 3 3 4 1 2 2 3 4 3 4 3 3 2 3
Step 1: a clue of 1 puts the 7 next to it.

How often you’ll need it

On 36 of the 50 Easy levels, 33 Medium and 28 Hard: whenever there’s a clue of 1 or a full clue, it’s the first move. It’s 2 of the 47 moves on the 7×7 here.

Next steps

Questions

Can a line have a clue of 1 at one end and n at the other?

Yes, and they agree. A line that climbs 1 to n from one end ends with the tallest building, which hides everything behind it from the other end.