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Skyscrapers #5202 · Medium

Laying out the puzzle…

At a glance

Grid
5×5
Edge clues
11/20
Heights given
0
Clues of 1
2

Notes on this puzzle

Skyscrapers #5202 is a 5×5 city: every row and column holds the heights 1 to 5 once, and 11 of the 20 edge positions carry a clue. No heights are given inside the grid; the edge clues do all the work.

There are 2 clues of 1 around the frame; the first cell beside each of them must hold a 5. 1 clue shows 5: that line rises one step at a time. On 1 line the two opposite clues add up to 6, which fixes exactly where the tallest building stands. The bottom edge carries the most clues (3). 9 edge positions are blank, so parts of the grid are solved from the inside out.

Where to beginTry row 2, column 1 first: its row and column clues decide it without any other help. Remember that a clue of k keeps the tallest building at least k−1 cells away from that edge.