Logic Masters Deutschland e.V.

The Coin Game (6 by 6)

(Published on 12. March 2026, 05:48 by Liamhere)

Sudoku Rules:

Classic 6x6: Normal 6 by 6 Sudoku rules apply. Fill the grid so that each row, column, and 2 by 3 box contains the digits 1–6 exactly once.

Killer Cages: Digits within a cage must not repeat. If a total is indicated in the upper-left corner of a cage, the digits within that cage must sum to that total. Some cages do not have a given total.

White Kropki Dots: Digits separated by a white dot must be consecutive.

The Coin Game:

Setup: At the start, a coin is placed on an initial cell. This cell cannot be inside a cage and cannot be the "Win" cell (the bottom-right cell).

Turn Order: This is a two-player, turn-based game. Player 1 moves first.

Movement: A player may move the coin one cell downward, one cell to the right, or one cell diagonally (lower-right).

Constraints: The coin cannot enter any cell that is part of a Killer Cage. (For example, a coin at R2C1 can be moved to R3C1 or R2C2 but not R3C2; and a coin at R2C5 can be moved to R3C6 but not R3C5 and R2C6).

Winning: The player who moves the coin onto the "Win" cell wins the game.

Optimal Play: Assume both players play optimally. If the initial cell is a winning position for Player 1, the digit in that cell must be odd. If the initial cell is a losing position for Player 1, the digit in that cell must be even.

Solve on Sudokupad.

Solution code: Digits visited by the coin, if the initial cell is R1C4, assuming optimal play.

Last changed on on 12. March 2026, 07:25

Solved by cullenmersch, EFlatMinor, Nylimb, TeamSchmidt, Mr. Happy, drbs, 3ColorTheorem, tovima, dzamie, BakersDozenBagels, QuiltyAsCharged, TheJRMY, kangaroo, MaxSmartable, JoBerlin
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Comments

on 12. March 2026, 08:50 by TeamSchmidt
It took me way too long to realize that optimal wasn't the path with the shortest steps but the optimal path for the player to win. I need to read the instructions better. Great Puzzle!!

on 12. March 2026, 07:25 by Liamhere
Happy solving!

Difficulty:2
Rating:95 %
Solved:15 times
Observed:3 times
ID:000RUF

Standard puzzle

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Solution code:

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