Bicycle
(Published yesterday, 08:00 by Kaktuslav)
Rules: Normal sudoku rules apply. In each row, a digit N points to column N. Following these pointers decomposes the row into cycles. If a cell contains a horizontal mark, it belongs to a cycle whose length is equal to its digit. Analogously, in each column, a digit N points to row N, decomposing the column into cycles. If a cell contains a vertical mark, it belongs to a cycle whose length is equal to its digit. Not all possible marks are necessarily given.
Example: The row 645213798 consists of four cycles: 6->3->5->1->6, 4->2->4, 7->7, and 9->8->9. The digit 2 could therefore have a horizontal mark, since it belongs to a cycle of length 2 (but it need not have one).
Note: Rows are numbered from top to bottom, and columns from left to right.
Solution code: Row 9
Comments
today, 19:40 by Fool on Hill
Excellent puzzle. It brought back memories of this one by feadoor https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000OJ2 which uses cycle sums rather than cycle counts.
I was surprised at how naturally this solved - it looked as though it might take more work.
today, 04:53 by emoney1374
Incredible puzzle! Brilliant ruleset!
yesterday, 21:05 by ICHTUES
Many greetings to SirSchmoopy. He created several 'cycle' sudokus.
Gr8 puzzle Kaktuslav
yesterday, 17:50 by ralphwaldo1
Neat solve path, one to try again after brain finally becomes attuned to the logic!
yesterday, 13:12 by lmdemasi
Outstanding puzzle. The ideas here are quite fresh, and the logic is very nice.
yesterday, 11:18 by yellow
weird and cool
yesterday, 10:29 by palletpusher
Astonishing construction; absolutely wonderful. Thank you, Kaktuslav.
hi youtube
