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Star Battle: Confined Regions

When a region’s open squares all lie in one row (or column), that line’s stars are in the region, so the rest of the line is empty. And the other way round: when a row’s open squares all lie in one region, the region’s stars are in that row, so the rest of the region is empty.

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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. Look for a region whose open squares all fall in one row or one column, or a line whose open squares all fall in one region.
  2. Check the stars still needed match on both sides.
  3. Cross out everything else in the other one.

In a real puzzle

On the 8×8, it’s first needed at step 4. Row 6’s open squares all belong to region f. Row 6 needs two stars, so both of region f’s stars are in row 6, and region f’s squares in row 5 are empty.

Step 4: row 6 inside region f Row 6's open squares all belong to region f. Row 6 needs two stars, so both of region f's stars are in row 6, and its squares in row 5 are empty. 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 4: row 6 lies inside region f, so region f’s squares in row 5 are empty.

How often you’ll need it

On 48 of the 50 Easy levels, 48 Medium and 36 Hard: 2.6 times per Easy level on average, 3.3 on Medium and 1.5 on Hard. It’s 3 of the 44 moves on the 8×8 here.

Next steps

Questions

Does it work on two-star puzzles?

Yes, as long as the counts match: a two-star region whose open squares all lie in one row takes both of that row’s stars.