Puzzle 31 / Fillomino [Sashigane]

This is a Fillomino puzzle where every polyomino is required to be an L-shape, as in Sashigane. Write a number in every empty cell so that every group of cells with the same number that is connected through its edges is an L-shape (with arms of positive length and 1-cell thickness) with that number of cells.

My second, and now symmetric, attempt at this crazy self-invented mutant; puzzle 22 was the first. A word of warning: I can’t solve this without bifurcating near the end, so logic purists may be disappointed, but I like the clue arrangement too much. In fact I suspect this puzzle could have many more clues removed without affecting uniqueness, so tight are the rule constraints in this type.

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Puzzle 22 / Fillomino [Sashigane]

This is a Fillomino puzzle where every polyomino is required to be an L-shape, as in Sashigane. Write a number in every empty cell so that every group of cells with the same number that is connected through its edges is an L-shape (with arms of positive length and 1-cell thickness) with that number of cells.

May be slightly reminiscent of no-rectangle Fillominoes. Slightly… (Has anybody done this before? It seems so interesting that I feel like I couldn’t be first.)

From any rational viewpoint, I’m not supposed to have time to construct puzzles now. Sigh…

Puzzle 20 / Sashigane

Yeah, I lied last time I made one of these; the original Nikoli name wasn’t that hard to remember, and “sashigane puzzles” has shown up as a search query, so here you go. Perfect opposite-type-clue rotational symmetry, chaotic_iak! I hope you’re satisfied now.

As usual, short rules: cut the grid into L-shapes; circles indicate corners; numbers in circles indicate area of Ls; arrows are dead-ends pointing towards the corner. For details, refer to mathgrant’s rules as last time.)

Puzzle 12 / “Ellbound”

If you are reading this, then our APMO testing time is over! There’s a small chance of me being really happy or really frustrated about how I did, but I’m betting on a solid “meh.”

Rules page by mathgrant. There’s no way I’m going to memorize the Japanese name yet.

I obsessed over getting those arrows to come out nicely and neatly for a ridiculous amount of time… and I still don’t like them!