LinkedIn Queens #772 Answer & Analysis

The puzzle already gives queens at R1C2 and R2C7. That immediately fills rows 1 and 2, columns 2 and 7, and the purple and orange regions. It also eliminates every touching neighbor around those queens. This opening cleanup is the best way to begin How to solve LinkedIn Queens #772.

The blue region contains R2C3, R3C2, and R3C3. R2C3 is ruled out because it touches R1C2, and R3C2 is ruled out because column 2 is already used. That leaves only R3C3, so the blue queen is forced there.

With queens now fixed in columns 2, 3, and 7, the brown region at the bottom can no longer use any cell in columns 2 or 3. Its only surviving square is R8C4, so that region is solved next.

Brown at R8C4 removes nearby gray options by adjacency, especially the gray cells on row 7. That leaves the gray region effectively centered on R5C5 or R6C5. If gray were at R6C5, the red region would fail: R6C6 would share the row, and R7C6 would touch diagonally. So gray must be R5C5. Once gray is placed there, red cannot be R6C6 because that would touch diagonally, so red is forced to R7C6.

The yellow region now comes down to row placement. R7C8 cannot be yellow because row 7 already contains the red queen at R7C6, so yellow must go at R6C8. That leaves row 4 as the only open row for the green region in column 1, so green lands at R4C1. This completes today's Queens solution and the full LinkedIn Queens answer.