Logic Masters Deutschland e.V.

Run on Water

This was a puzzle that was inspired by a prompt in the sudoku stream team discord. The prompt was to set a pencil puzzle hybrid with two constraints that I've never set with before. I decided on using nurikabe and a constraint created by Agent called "Road Runner". The constraint builds a loop, by using numbers to indicate the distance that loop segments takes to get to a circle. I Will provide a link down below to a couple of Agent's Road Runner puzzles.

Rules:

How fast does a Road runner move? Fast enough to run on water.

1.Fill the entire grid with with loop segments and shading. No cell contains both.

2.Numbers are either Road Runner clues or island clues, which must be determined by the solver.

3.Road Runner clues indicates the amount of moves the loop travels until reaching a circle. The road runner is traveling too fast to be concerned about 2x2's, meaning a 2x2 can contain all loop segments.

4.The loop does not branch or cross itself.

5.Island clues indicates the size of the shaded cells that are orthogonally connected. No two distinct islands connect orthogonally but can touch diagonally. No island forms a 2x2. Every island has at least one number inside.

This proves that the road runner is fast enough to run on water.

Agent's Road Runner puzzle on LMD

Run on Water Puzzle penpa

Run on Water Sudokupad (no answer check)

Road Runner Example image:

Run on Water Puzzle: