Factor Map
(Published on 30. June 2024, 14:57 by ul-Rhymm)
Rules
Normal Sudoku Rules Apply: Each Digit 1-9 appears exactly once in each row, column, and 3x3 box.
Within cages, digits cannot repeat. Each cage has a value equal to the sum of all the digits it contains.
Color each cage 1 of 4 colors. Cages of the same color cannot share sides, though they may touch corner-to-corner.
All cages with the same color have sums whose prime factorizations contain the same set of prime factors. E.g. If a red cage is 20 = 2x2x5, then all other red cages must have a prime factoriaztion of 2^X*5^Y. For example, 10, 20, 40, 50, 80, 100, etc could all be valid. 25 would not be valid (no 2's). 30 would not be valid (2x3x5 has a 3). Any other colored cage cannot have a 2 nor 5 in their prime factorizations.)
Solution code: Row 3 Left to Right
Comments
on 1. August 2024, 23:18 by madhupt
Wonderful!
on 1. August 2024, 12:40 by Yawnus
Well crafted puzzle with a nice new ruleset!
on 1. August 2024, 05:36 by RockyRoer
I remember testing this one - congrats on your CTC feature! This is just the perfect amount of grind for me, one who loves figuring out unknown cage totals, and product puzzles!
on 1. August 2024, 01:23 by ThomasR
The restriction mentioned in the example (disjoint prime factor sets) should be part of the rules.
Other than that, brilliant puzzle!
on 5. July 2024, 20:10 by pecha_berrie
Wow, very tricky, but the logic was lovely! Took me a few days of work after making a mistake early on, but beautiful once I realized!
on 1. July 2024, 13:25 by Bankey
Wow, that was tough, but totally fun. Thanks, @ ul-Rhymm :).
on 30. June 2024, 16:00 by sanabas
Good fun. Negative constraints are very important.
