The Two That Ate Half the Board: an Evening with Fillomino
The 2 ate half the board while I sat and watched it happen.

I kept growing its region cell by cell — left looked free, down looked free, plenty of room. I got carried away. When I looked up, the whole left half glowed as one region, and next to it sat a 5 with nowhere left to grow. The game was dead, and I had grown the corpse myself.
The cell you hate to give away
Greed looks innocent in Fillomino Fields: an empty cell next to my region, surely nobody will take it. Somebody will. Every extra cell is somebody else's shortage. Now I play backwards: not where my region can grow, but where it must stop. A 5 in the corner? It needs five cells and the corner gives only three directions. So I mark its future lands in my head, and my little 2 stays out.
The fence trick
Mid-game is the sticky part. Hints untouched, digits 1-9 jumping under clicks, the board refusing to split. My rescue is the fence: I find two same-size candidates side by side and wall them off with cells belonging to other regions. Equal regions never touch by side, and that rule cuts like a knife. Slice the board in two and each half solves itself.
The quiet moment
The best part comes without fanfare: I click a cell, cycle the digit, and suddenly everything fits. No region can grow, none can shrink. The board freezes in the only true shape. I feel nothing but the urge to press New Game.