I solve LinkedIn Patches #116 patch by patch on a 7×7 grid. 12 clues to satisfy, 4 with numbered areas. My tiling order: clue 1 (1×3) → clue 2 (2×1) → clue 3 (3×3) → clue 4 (1×3) → clue 5 (1×4) → clue 6 (2×4) → clue 7 (1×2) → clue 8 (1×2) → clue 9 (2×2) → clue 10 (2×3) → clue 11 (2×1) → clue 12 (4×1). I draw the tightest rectangles first and check that the remaining space can still partition cleanly before committing each shape.
Before the first drag I scan for the largest area clues and strict shape icons — on this board that means Clues are spread across the grid with mixed constraints — work from the tightest clues outward and verify each patch still allows a full tiling.
General Patches strategy on 7×7: 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.
I draw patch 1 next — 1×3 at Row 1, column 3. This patch covers 3 cells (1×3). The shape icon allows any rectangle proportion. After placing this 3-cell rectangle, 46 cells remain for 11 clues. Each leftover region must still tile without overlap.
I draw patch 2 next — 2×1 at Row 1, column 4. The clue shows area 2, so this patch must cover exactly 2 cells (2×1 = 2). After placing this 2-cell rectangle, 44 cells remain for 10 clues. Each leftover region must still tile without overlap.
I draw patch 3 next — 3×3 at Row 1, column 5. This patch covers 9 cells (3×3). The shape icon requires a square. After placing this 9-cell rectangle, 35 cells remain for 9 clues. Each leftover region must still tile without overlap.
I draw patch 4 next — 1×3 at Row 2, column 2. This patch covers 3 cells (1×3). The shape icon requires a wide rectangle (wider than tall). After placing this 3-cell rectangle, 32 cells remain for 8 clues. Each leftover region must still tile without overlap.
I draw patch 5 next — 1×4 at Row 3, column 2. This patch covers 4 cells (1×4). The shape icon allows any rectangle proportion. After placing this 4-cell rectangle, 28 cells remain for 7 clues. Each leftover region must still tile without overlap.
I draw patch 6 next — 2×4 at Row 4, column 2. The clue shows area 8, so this patch must cover exactly 8 cells (2×4 = 8). After placing this 8-cell rectangle, 20 cells remain for 6 clues. Each leftover region must still tile without overlap.
I draw patch 7 next — 1×2 at Row 4, column 6. The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2). After placing this 2-cell rectangle, 18 cells remain for 5 clues. Each leftover region must still tile without overlap.
I draw patch 8 next — 1×2 at Row 5, column 6. This patch covers 2 cells (1×2). The shape icon allows any rectangle proportion. After placing this 2-cell rectangle, 16 cells remain for 4 clues. Each leftover region must still tile without overlap.
I draw patch 9 next — 2×2 at Row 6, column 6. This patch covers 4 cells (2×2). The shape icon requires a square. After placing this 4-cell rectangle, 12 cells remain for 3 clues. Each leftover region must still tile without overlap.
I draw patch 10 next — 2×3 at Row 7, column 3. This patch covers 6 cells (2×3). The shape icon requires a wide rectangle (wider than tall). After placing this 6-cell rectangle, 6 cells remain for 2 clues. Each leftover region must still tile without overlap.
I draw patch 11 next — 2×1 at Row 7, column 4. The clue shows area 2, so this patch must cover exactly 2 cells (2×1 = 2). After placing this 2-cell rectangle, 4 cells remain for 1 clue. Each leftover region must still tile without overlap.
I draw patch 12 next — 4×1 at Row 7, column 5. This patch covers 4 cells (4×1). The shape icon allows any rectangle proportion. This 4-cell patch completes the grid — all 49 cells are now assigned to exactly one clue.
Done — every cell colored, no overlaps, all clues satisfied. Clues are spread across the grid with mixed constraints — work from the tightest clues outward and verify each patch still allows a full tiling.