Setup and opening position
Several cells begin with immutable values, and the rest are blank. The deterministic generator reveals clues until a bounded region-size solver proves exactly one completion.
Filling Puzzle
Complete the grid so each connected component of equal numbers has a cell count exactly equal to that number.
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How to play
Complete the grid so each connected component of equal numbers has a cell count exactly equal to that number.
- Several cells begin with immutable values, and the rest are blank. The deterministic generator reveals clues until a bounded region-size solver proves exactly one completion.
- Write one, two, three, or four in any unfixed cell, or clear it. Equal values touching orthogonally merge into one region and are evaluated together.
- Complete the grid so each connected component of equal numbers has a cell count exactly equal to that number.
Strategy tips
- Expand a numbered clue only as far as its required region size, and use completed regions as barriers that constrain the sizes and routes of neighboring values.
- Two equal-number groups that later touch become one larger component, so treating them as separate regions can silently exceed the number they contain.
- Count every nearly completed component before filling the final blanks; a single value can merge two regions and invalidate both even when each was correct beforehand.
Complete guide
Rules, scoring, and strategy
Filling Puzzle is a complete browser implementation with its own versioned rules profile. Fill a three-by-three grid with values one through four so every orthogonally connected region contains exactly as many cells as the number written in it.
Legal moves and game flow
Write one, two, three, or four in any unfixed cell, or clear it. Equal values touching orthogonally merge into one region and are evaluated together.
Winning and terminal positions
Complete the grid so each connected component of equal numbers has a cell count exactly equal to that number. Count every nearly completed component before filling the final blanks; a single value can merge two regions and invalidate both even when each was correct beforehand.
Practical strategy
Expand a numbered clue only as far as its required region size, and use completed regions as barriers that constrain the sizes and routes of neighboring values. Two equal-number groups that later touch become one larger component, so treating them as separate regions can silently exceed the number they contain.
Questions players ask
What is the objective in Filling Puzzle?
Complete the grid so each connected component of equal numbers has a cell count exactly equal to that number.
Which moves are legal in Filling Puzzle?
Write one, two, three, or four in any unfixed cell, or clear it. Equal values touching orthogonally merge into one region and are evaluated together.
What should I plan first in Filling Puzzle?
Expand a numbered clue only as far as its required region size, and use completed regions as barriers that constrain the sizes and routes of neighboring values.