This is a Melon puzzle. (7 – Fillomino)
or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)
Theme: Antisymmetric Ones
Rules: Standard Fillomino rules.
Answer String: For each cell in the marked rows/columns, enter the area of the polyomino it belongs to. Start with the 6th row, followed by a comma, followed by the 8th row. Enter both digits if the area is a double digit number.
Time Standards (highlight to view): Grandmaster = 2:00, Master = 2:45, Expert = 5:30
Solution: PDF
Note: Follow this link for other classic Fillomino and this link for more variations on Fillomino puzzles. If you are new to this puzzle type, here are our easiest Fillomino puzzles to get started on.
Interesting Fillomino with some packing elements to drive the solve. The bottom right was a nice bit, even if I didn’t rigorously prove it logically.
04:27. HOW ON EARTH IS THE MASTER TIME 02:45 ARGH
I think my fault is to begin adding all clues too soon (after only completing the 7 at top left, because I can’t find anything else; it takes about 2-3 minutes to realize that the 4 at top left is stuck). However, this provides the rigorous proof of the bottom-right as the result 😀
Fantastic puzzle. Large polyominoes that have tight places to wiggle through drives the solve. I think the aesthetic theme is much, much less striking than the logic 😛 But still, pulling it off with an additional aesthetic theme is great.
Since I seem to like answering rhetorical questions:
“HOW ON EARTH IS THE MASTER TIME 02:45” — we had 6 testers with times ranging from 2:00 to 3:40, with three sitting right within 5-10 seconds of 2:45. This was actually one of the easiest time standards to set as none of our solvers had an “off” solve so the spread was small.
No wonder this is the same logic puzzler who asked “Is a sudoku with zero solutions allowed?”
Love that bottom-right corner! I think you can show that it’s forced without having to do the addition; you can get the first few spaces of a bunch of polyominoes, enough to run out of room in that corner unless it goes the way it has to go.
I was far too lazy to do the addition, and was happy with the validity of the squeezing deduction!