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Medium

Bridges #523 · 9×9

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Bridges #523 is a 9×9 grid at medium level with 15 islands. The solution lays 20 bridges along 15 routes, and 5 of those routes carry a double bridge. The largest number on the map is 5.

You can start without any guessing: 5 islands have a number equal to or one below twice the neighbours they can see, so every one of those neighbours gets at least one bridge.

3 islands carry a 1. Two of them may never be linked to each other, because that pair would be cut off from the rest of the map.

3 islands sit in a corner of the grid, where it can see at most two neighbours: a good second place to look.

Medium grids also need the isolation rule: rule out any bridge that would close a group of islands off from the rest of the map.