I solve LinkedIn Patches #111 patch by patch on a 7×7 grid. 4 clues to satisfy, 3 with numbered areas. My tiling order: clue 1 (2×2) → clue 2 (1×5) → clue 3 (5×2) → clue 4 (6×5). 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 One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit.
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 — 2×2 at Row 1, column 1. This patch covers 4 cells (2×2). The shape icon requires a square. After placing this 4-cell rectangle, 45 cells remain for 3 clues. Each leftover region must still tile without overlap.
I draw patch 2 next — 1×5 at Row 1, column 6. The clue shows area 5, so this patch must cover exactly 5 cells (1×5 = 5). The shape icon requires a wide rectangle (wider than tall). After placing this 5-cell rectangle, 40 cells remain for 2 clues. Each leftover region must still tile without overlap.
I draw patch 3 next — 5×2 at Row 7, column 2. The clue shows area 10, so this patch must cover exactly 10 cells (5×2 = 10). The shape icon requires a tall rectangle (taller than wide). After placing this 10-cell rectangle, 30 cells remain for 1 clue. Each leftover region must still tile without overlap.
I draw patch 4 next — 6×5 at Row 7, column 7. The clue shows area 30, so this patch must cover exactly 30 cells (6×5 = 30). This 30-cell patch completes the grid — all 49 cells are now assigned to exactly one clue.
Done — every cell colored, no overlaps, all clues satisfied. One or more clues demand large rectangles — lock those anchors first because they consume the most territory and constrain where every smaller patch can fit.