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Archipelago Bridge Network

(Published on 2. May 2024, 20:28 by sfushidahardy)

Due to your sudoku prowess, you have been tasked with surveying a collection of islands and building a network of bridges to connect them

Solve it on Sudokupad

Rules:

  • Standard Sudoku rules: every row, column, and box contains the digits from 1 to 9 exactly once each.
  • Islands: every cell of the grid is either part of an island or the ocean. Every concrete foundation and corner-clue lies on an island. Conversely, every island, which is necessarily an orthogonally connected cage, contains exactly one corner-clue (anywhere on the island). This corner-clue denotes the sum of all digits on the island. The digit occupying the cell containing the corner-clue is the size of the island. All digits on an island are distinct, and no two distinct islands may touch each other (orthogonally or diagonally).
  • Ocean: the ocean is orthogonally connected.
  • Bridges: Between any two islands, there is a sequence of islands and bridges that connect them. A bridge is a line (consisting of vertical, horizontal, or diagonal segments) whose endpoints must lie on concrete foundations. Besides their endpoints, bridges exclusively lie over ocean cells. No two bridges can share a cell (including endpoints) or cross over each other. A bridge is a palindrome line, that is, digits in the cells under a bridge form a palindrome along the bridge. Finally, a bridge cannot be built through the center of a windy cell.

Note: the win-condition is to correctly fill the grid with digits. The islands and digits are unique, but the bridges are not.

Solution code: The digits in the top row.

Last changed on on 2. May 2024, 20:31

Solved by ashisstuff, Maxima, StefanSch, Franjo, SKORP17, Brodie2000, halakani, itweb, SudokuHero, trashghost, QuiltyAsCharged, Grothenlace, MaizeGator, Piatato
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Comments

on 29. May 2024, 21:46 by QuiltyAsCharged
Excellent puzzle. Mapping out the bridges was the trickiest part for me, but also the part that led to surprising insights.

on 3. May 2024, 14:20 by Franjo
Very nice and original puzzle. I think the difficulty is at most 3/5. Thank you so much for sharing.

on 2. May 2024, 21:36 by ashisstuff
very enjoyable :3

on 2. May 2024, 20:31 by sfushidahardy
Moved the sudokupad link to the top

Difficulty:4
Rating:83 %
Solved:14 times
Observed:6 times
ID:000HXJ

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