Classification target LinkedIn Patches #124. Grid 8×8. Clue sample 14. Shape mix: 1 square, 4 tall, 1 wide, 8 flexible. Area spread 2–9. Pattern: grid-partition puzzle. Placement vector: clue 1 (3×2) → clue 2 (3×1) → clue 3 (3×3) → clue 4 (4×1) → clue 5 (3×1) → clue 6 (3×1) → clue 7 (1×4) → clue 8 (4×1) → clue 9 (5×1) → clue 10 (2×4) → clue 11 (1×4) → clue 12 (2×1) → clue 13 (1×5) → clue 14 (4×1).
Board spotlight: Clues are spread across the grid with mixed constraints — work from the tightest clues outward and verify each patch still allows a full tiling. With 8 of 14 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
General Patches strategy on 8×8: rectangles cannot overlap, every cell must belong to exactly one patch, and each patch must contain precisely one clue at its anchor cell. When a clue shows area 12 and a tall icon, only a few height×width pairs are legal — list them before drawing. After each placement, mentally partition the leftover white space: if any region cannot host its remaining clues, back up and try the next candidate.
Sample 1: clue 1, area 6, shape tall. 3×2 at Row 1, column 1. After placing this 6-cell rectangle, 58 cells remain for 13 clues. Each leftover region must still tile without overlap.
Sample 2: clue 2, area 3, shape tall. 3×1 at Row 1, column 4. After placing this 3-cell rectangle, 55 cells remain for 12 clues. Each leftover region must still tile without overlap.
Sample 3: clue 3, area 9, shape square. 3×3 at Row 1, column 6. After placing this 9-cell rectangle, 46 cells remain for 11 clues. Each leftover region must still tile without overlap.
Sample 4: clue 4, area 4, shape any. 4×1 at Row 1, column 3. After placing this 4-cell rectangle, 42 cells remain for 10 clues. Each leftover region must still tile without overlap.
Sample 5: clue 5, area 3, shape any. 3×1 at Row 1, column 5. After placing this 3-cell rectangle, 39 cells remain for 9 clues. Each leftover region must still tile without overlap.
Sample 6: clue 6, area 3, shape any. 3×1 at Row 4, column 1. After placing this 3-cell rectangle, 36 cells remain for 8 clues. Each leftover region must still tile without overlap.
Sample 7: clue 7, area 4, shape any. 1×4 at Row 4, column 4. After placing this 4-cell rectangle, 32 cells remain for 7 clues. Each leftover region must still tile without overlap.
Sample 8: clue 8, area 4, shape any. 4×1 at Row 4, column 2. After placing this 4-cell rectangle, 28 cells remain for 6 clues. Each leftover region must still tile without overlap.
Sample 9: clue 9, area 5, shape any. 5×1 at Row 4, column 8. After placing this 5-cell rectangle, 23 cells remain for 5 clues. Each leftover region must still tile without overlap.
Sample 10: clue 10, area 8, shape any. 2×4 at Row 5, column 3. After placing this 8-cell rectangle, 15 cells remain for 4 clues. Each leftover region must still tile without overlap.
Sample 11: clue 11, area 4, shape any. 1×4 at Row 7, column 3. After placing this 4-cell rectangle, 11 cells remain for 3 clues. Each leftover region must still tile without overlap.
Sample 12: clue 12, area 2, shape tall. 2×1 at Row 7, column 1. After placing this 2-cell rectangle, 9 cells remain for 2 clues. Each leftover region must still tile without overlap.
Sample 13: clue 13, area 5, shape wide. 1×5 at Row 8, column 2. After placing this 5-cell rectangle, 4 cells remain for 1 clue. Each leftover region must still tile without overlap.
Sample 14: clue 14, area 4, shape tall. 4×1 at Row 5, column 7. This 4-cell patch completes the grid — all 64 cells are now assigned to exactly one clue.
Lab result: Grid-partition puzzle. 14 rectangles tile the 8×8 grid (64 cells): clue 1 → 3×2, clue 2 → 3×1, clue 3 → 3×3, clue 4 → 4×1, clue 5 → 3×1, clue 6 → 3×1, clue 7 → 1×4, clue 8 → 4×1, clue 9 → 5×1, clue 10 → 2×4, clue 11 → 1×4, clue 12 → 2×1, clue 13 → 1×5, clue 14 → 4×1. No overlap, every clue covered exactly once.