Classification target Patches Level 4. Grid 6×6. Clue sample 17. Shape mix: 6 square, 10 tall, 1 wide. Area spread 1–4. Pattern: shape-locked board. Placement vector: clue 1 (1×2) → clue 2 (2×1) → clue 3 (4×1) → clue 4 (3×1) → clue 5 (2×1) → clue 6 (2×1) → clue 7 (2×1) → clue 8 (3×1) → clue 9 (1×1) → clue 10 (3×1) → clue 11 (2×1) → clue 12 (2×2) → clue 13 (2×1) → clue 14 (1×1) → clue 15 (1×1) → clue 16 (1×1) → clue 17 (1×1).
Board spotlight: Most clues specify a strict shape icon (square, tall, or wide) — shape constraints often pin down dimensions before you can draw anything. With 17 of 17 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
General Patches strategy on 6×6: 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 2, shape wide. 1×2 at Row 1, column 1. After placing this 2-cell rectangle, 34 cells remain for 16 clues. Each leftover region must still tile without overlap.
Sample 2: clue 2, area 2, shape tall. 2×1 at Row 1, column 3. After placing this 2-cell rectangle, 32 cells remain for 15 clues. Each leftover region must still tile without overlap.
Sample 3: clue 3, area 4, shape tall. 4×1 at Row 1, column 4. After placing this 4-cell rectangle, 28 cells remain for 14 clues. Each leftover region must still tile without overlap.
Sample 4: clue 4, area 3, shape tall. 3×1 at Row 1, column 5. After placing this 3-cell rectangle, 25 cells remain for 13 clues. Each leftover region must still tile without overlap.
Sample 5: clue 5, area 2, shape tall. 2×1 at Row 1, column 6. After placing this 2-cell rectangle, 23 cells remain for 12 clues. Each leftover region must still tile without overlap.
Sample 6: clue 6, area 2, shape tall. 2×1 at Row 2, column 1. After placing this 2-cell rectangle, 21 cells remain for 11 clues. Each leftover region must still tile without overlap.
Sample 7: clue 7, area 2, shape tall. 2×1 at Row 2, column 2. After placing this 2-cell rectangle, 19 cells remain for 10 clues. Each leftover region must still tile without overlap.
Sample 8: clue 8, area 3, shape tall. 3×1 at Row 3, column 3. After placing this 3-cell rectangle, 16 cells remain for 9 clues. Each leftover region must still tile without overlap.
Sample 9: clue 9, area 1, shape square. 1×1 at Row 3, column 6. After placing this 1-cell rectangle, 15 cells remain for 8 clues. Each leftover region must still tile without overlap.
Sample 10: clue 10, area 3, shape tall. 3×1 at Row 4, column 1. After placing this 3-cell rectangle, 12 cells remain for 7 clues. Each leftover region must still tile without overlap.
Sample 11: clue 11, area 2, shape tall. 2×1 at Row 4, column 2. After placing this 2-cell rectangle, 10 cells remain for 6 clues. Each leftover region must still tile without overlap.
Sample 12: clue 12, area 4, shape square. 2×2 at Row 4, column 5. After placing this 4-cell rectangle, 6 cells remain for 5 clues. Each leftover region must still tile without overlap.
Sample 13: clue 13, area 2, shape tall. 2×1 at Row 5, column 4. After placing this 2-cell rectangle, 4 cells remain for 4 clues. Each leftover region must still tile without overlap.
Sample 14: clue 14, area 1, shape square. 1×1 at Row 6, column 2. After placing this 1-cell rectangle, 3 cells remain for 3 clues. Each leftover region must still tile without overlap.
Sample 15: clue 15, area 1, shape square. 1×1 at Row 6, column 3. After placing this 1-cell rectangle, 2 cells remain for 2 clues. Each leftover region must still tile without overlap.
Sample 16: clue 16, area 1, shape square. 1×1 at Row 6, column 5. After placing this 1-cell rectangle, 1 cells remain for 1 clue. Each leftover region must still tile without overlap.
Sample 17: clue 17, area 1, shape square. 1×1 at Row 6, column 6. This 1-cell patch completes the grid — all 36 cells are now assigned to exactly one clue.
Lab result: Shape-locked board. 17 rectangles tile the 6×6 grid (36 cells): clue 1 → 1×2, clue 2 → 2×1, clue 3 → 4×1, clue 4 → 3×1, clue 5 → 2×1, clue 6 → 2×1, clue 7 → 2×1, clue 8 → 3×1, clue 9 → 1×1, clue 10 → 3×1, clue 11 → 2×1, clue 12 → 2×2, clue 13 → 2×1, clue 14 → 1×1, clue 15 → 1×1, clue 16 → 1×1, clue 17 → 1×1. No overlap, every clue covered exactly once.