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Star Battle: Finished Rows, Columns and Regions

A row, column or region that has all its stars is empty everywhere else. One with exactly as many open squares left as stars still needed: those squares are all stars.

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This is one of the Star Battle techniques. Each page shows its technique on the same two-star 8×8 from the game, Hard level 34.

The rule

  1. For each row, column and region, count its stars and its open squares.
  2. If it has all its stars, cross out every open square in it.
  3. If its open squares exactly match the stars it still needs, they’re all stars.

In a real puzzle

On the 8×8, the second kind is first needed at step 19. Row 8 needs two stars and has exactly two open squares left, columns 5 and 7. Both are stars.

Step 19: just enough room in row 8 Row 8 needs two stars and has exactly two open squares left. Both are stars. a b c d e f g h 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8
Step 19: row 8 needs two stars and has two open squares: both stars.

How often you’ll need it

On every one of the game’s 150 levels, and more than any other technique on the one-star tracks: 10.3 times per Easy level on average, 15.9 on Medium and 12.4 on Hard. It’s 14 of the 44 moves on the 8×8 here.

Next steps

Questions

Which do I check first, rows or regions?

All three, every time something changes. A region is just as likely as a row to be down to its last place, and regions are easier to miss.