2026-07-02
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Puzzle guide
Full breakdown using the Case file format — patch placements, tiling analysis, and strategy notes.
Overview
LinkedIn Patches #107 is the LinkedIn Patches daily for July 2, 2026. Patches is LinkedIn's tiling puzzle: partition a 7×7 grid into non-overlapping rectangles — one per clue — matching area and shape hints until every cell is covered. This page includes the live board, a solved-board view, and a step-by-step Solution walkthrough. Difficulty: Medium. Estimated solve time: 4–6 min.
Answer
This board has 20 clues on a 7×7 grid — each maps to one non-overlapping patch.
20 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×2, clue 3 → 3×1, clue 4 → 2×1, clue 5 → 1×2, clue 6 → 2×1, clue 7 → 3×1, clue 8 → 2×1, clue 9 → 2×1, clue 10 → 2×2, clue 11 → 1×3, clue 12 → 2×1, clue 13 → 2×1, clue 14 → 2×1, clue 15 → 2×2, clue 16 → 2×2, clue 17 → 2×1, clue 18 → 1×2, clue 19 → 1×2, clue 20 → 1×2. No overlap, every clue covered exactly once.
Analysis
Case file LinkedIn Patches #107: 7×7 tiling puzzle, 20 clue exhibits, area range 2–4 cells per patch. Full partition: 20 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×2, clue 3 → 3×1, clue 4 → 2×1, clue 5 → 1×2, clue 6 → 2×1, clue 7 → 3×1, clue 8 → 2×1, clue 9 → 2×1, clue 10 → 2×2, clue 11 → 1×3, clue 12 → 2×1, clue 13 → 2×1, clue 14 → 2×1, clue 15 → 2×2, clue 16 → 2×2, clue 17 → 2×1, clue 18 → 1×2, clue 19 → 1×2, clue 20 → 1×2. No overlap, every clue covered exactly once. Pattern tag: shape-locked board.
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 8 of 20 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
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.
Exhibit 1: clue 1, 1×2 at Row 1, column 1. The shape icon requires a wide rectangle (wider than tall). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 2: clue 2, 1×2 at Row 1, column 3. The shape icon requires a wide rectangle (wider than tall). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 3: clue 3, 3×1 at Row 1, column 5. The shape icon requires a tall rectangle (taller than wide). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 4: clue 4, 2×1 at Row 1, column 7. The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 5: clue 5, 1×2 at Row 2, column 2. The clue shows area 2, so its patch must cover exactly 2 cells (1×2 = 2). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 6: clue 6, 2×1 at Row 2, column 4. The clue shows area 2, so its patch must cover exactly 2 cells (2×1 = 2). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 7: clue 7, 3×1 at Row 1, column 6. The clue shows area 3, so its patch must cover exactly 3 cells (3×1 = 3). The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 8: clue 8, 2×1 at Row 2, column 1. The shape icon requires a tall rectangle (taller than wide). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 9: clue 9, 2×1 at Row 3, column 7. The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 10: clue 10, 2×2 at Row 3, column 2. The clue shows area 4, so its patch must cover exactly 4 cells (2×2 = 4). The shape icon requires a square. Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 11: clue 11, 1×3 at Row 4, column 4. The clue shows area 3, so its patch must cover exactly 3 cells (1×3 = 3). The shape icon requires a wide rectangle (wider than tall). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 12: clue 12, 2×1 at Row 4, column 1. The shape icon requires a tall rectangle (taller than wide). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 13: clue 13, 2×1 at Row 5, column 7. The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 14: clue 14, 2×1 at Row 5, column 2. The clue shows area 2, so its patch must cover exactly 2 cells (2×1 = 2). The shape icon requires a tall rectangle (taller than wide). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 15: clue 15, 2×2 at Row 5, column 3. The clue shows area 4, so its patch must cover exactly 4 cells (2×2 = 4). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 16: clue 16, 2×2 at Row 5, column 5. The clue shows area 4, so its patch must cover exactly 4 cells (2×2 = 4). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 17: clue 17, 2×1 at Row 6, column 1. The shape icon requires a tall rectangle (taller than wide). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 18: clue 18, 1×2 at Row 7, column 2. The shape icon requires a wide rectangle (wider than tall). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 19: clue 19, 1×2 at Row 7, column 4. The shape icon requires a wide rectangle (wider than tall). Several rectangles fit this clue on their own, but only this one still allows the whole grid to be tiled.
Exhibit 20: clue 20, 1×2 at Row 7, column 6. The shape icon requires a wide rectangle (wider than tall). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Verdict: tiling set is consistent with every clue constraint. Case closed.
Patches
Shape & area
This patch covers 2 cells (1×2). The shape icon requires a wide rectangle (wider than tall).
After placing this 2-cell rectangle, 47 cells remain for 19 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 47 cells remain for 19 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (1×2). The shape icon requires a wide rectangle (wider than tall).
After placing this 2-cell rectangle, 45 cells remain for 18 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 45 cells remain for 18 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 3 cells (3×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 3-cell rectangle, 42 cells remain for 17 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 42 cells remain for 17 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (2×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 40 cells remain for 16 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 40 cells remain for 16 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2).
After placing this 2-cell rectangle, 38 cells remain for 15 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 38 cells remain for 15 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 2, so this patch must cover exactly 2 cells (2×1 = 2).
After placing this 2-cell rectangle, 36 cells remain for 14 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 36 cells remain for 14 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 3, so this patch must cover exactly 3 cells (3×1 = 3). The shape icon requires a tall rectangle (taller than wide).
After placing this 3-cell rectangle, 33 cells remain for 13 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 33 cells remain for 13 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (2×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 31 cells remain for 12 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 31 cells remain for 12 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (2×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 29 cells remain for 11 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 29 cells remain for 11 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). The shape icon requires a square.
After placing this 4-cell rectangle, 25 cells remain for 10 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 25 cells remain for 10 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3). The shape icon requires a wide rectangle (wider than tall).
After placing this 3-cell rectangle, 22 cells remain for 9 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 3-cell rectangle, 22 cells remain for 9 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (2×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 20 cells remain for 8 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 20 cells remain for 8 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (2×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 18 cells remain for 7 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 18 cells remain for 7 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 2, so this patch must cover exactly 2 cells (2×1 = 2). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 16 cells remain for 6 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 16 cells remain for 6 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4).
After placing this 4-cell rectangle, 12 cells remain for 5 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 12 cells remain for 5 clues. Each leftover region must still tile without overlap.
Shape & area
The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4).
After placing this 4-cell rectangle, 8 cells remain for 4 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 4-cell rectangle, 8 cells remain for 4 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (2×1). The shape icon requires a tall rectangle (taller than wide).
After placing this 2-cell rectangle, 6 cells remain for 3 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 6 cells remain for 3 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (1×2). The shape icon requires a wide rectangle (wider than tall).
After placing this 2-cell rectangle, 4 cells remain for 2 clues. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 4 cells remain for 2 clues. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (1×2). The shape icon requires a wide rectangle (wider than tall).
After placing this 2-cell rectangle, 2 cells remain for 1 clue. Each leftover region must still tile without overlap.
Solving note
After placing this 2-cell rectangle, 2 cells remain for 1 clue. Each leftover region must still tile without overlap.
Shape & area
This patch covers 2 cells (1×2). The shape icon requires a wide rectangle (wider than tall).
This 2-cell patch completes the grid — all 49 cells are now assigned to exactly one clue.
Solving note
This 2-cell patch completes the grid — all 49 cells are now assigned to exactly one clue.
Verification
Evidence chain supports 20 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×2, clue 3 → 3×1, clue 4 → 2×1, clue 5 → 1×2, clue 6 → 2×1, clue 7 → 3×1, clue 8 → 2×1, clue 9 → 2×1, clue 10 → 2×2, clue 11 → 1×3, clue 12 → 2×1, clue 13 → 2×1, clue 14 → 2×1, clue 15 → 2×2, clue 16 → 2×2, clue 17 → 2×1, clue 18 → 1×2, clue 19 → 1×2, clue 20 → 1×2. No overlap, every clue covered exactly once. Alternative rectangles around any single clue would either double-cover cells or leave holes that cannot host the remaining clues.
Solve path
Phase 1: Partition the 7×7 grid into 20 non-overlapping rectangles — one per clue, matching area and shape hints. Patch 1: draw 1×2 at Row 1, column 1 for the clue at Row 1, column 1. This patch covers 2 cells (1×2). Patch 2: draw 1×2 at Row 1, column 3 for the clue at Row 1, column 3. This patch covers 2 cells (1×2). Patch 3: draw 3×1 at Row 1, column 5 for the clue at Row 1, column 5. This patch covers 3 cells (3×1). Patch 4: draw 2×1 at Row 1, column 7 for the clue at Row 1, column 7. This patch covers 2 cells (2×1). Patch 5: draw 1×2 at Row 2, column 2 for the clue at Row 2, column 2. The clue shows area 2, so this patch must cover exactly 2 cells (1×2 = 2). Patch 6: draw 2×1 at Row 2, column 4 for the clue at Row 2, column 4. The clue shows area 2, so this patch must cover exactly 2 cells (2×1 = 2). Patch 7: draw 3×1 at Row 1, column 6 for the clue at Row 2, column 6. The clue shows area 3, so this patch must cover exactly 3 cells (3×1 = 3). Patch 8: draw 2×1 at Row 2, column 1 for the clue at Row 3, column 1. This patch covers 2 cells (2×1). Patch 9: draw 2×1 at Row 3, column 7 for the clue at Row 3, column 7. This patch covers 2 cells (2×1). Patch 10: draw 2×2 at Row 3, column 2 for the clue at Row 4, column 2. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Patch 11: draw 1×3 at Row 4, column 4 for the clue at Row 4, column 6. The clue shows area 3, so this patch must cover exactly 3 cells (1×3 = 3). Patch 12: draw 2×1 at Row 4, column 1 for the clue at Row 5, column 1. This patch covers 2 cells (2×1). Patch 13: draw 2×1 at Row 5, column 7 for the clue at Row 5, column 7. This patch covers 2 cells (2×1). Patch 14: draw 2×1 at Row 5, column 2 for the clue at Row 6, column 2. The clue shows area 2, so this patch must cover exactly 2 cells (2×1 = 2). Patch 15: draw 2×2 at Row 5, column 3 for the clue at Row 6, column 4. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Patch 16: draw 2×2 at Row 5, column 5 for the clue at Row 6, column 6. The clue shows area 4, so this patch must cover exactly 4 cells (2×2 = 4). Patch 17: draw 2×1 at Row 6, column 1 for the clue at Row 7, column 1. This patch covers 2 cells (2×1). Patch 18: draw 1×2 at Row 7, column 2 for the clue at Row 7, column 3. This patch covers 2 cells (1×2). Patch 19: draw 1×2 at Row 7, column 4 for the clue at Row 7, column 5. This patch covers 2 cells (1×2). Patch 20: draw 1×2 at Row 7, column 6 for the clue at Row 7, column 7. This patch covers 2 cells (1×2). Complete: 49 cells covered, 20 valid patches — full tiling verified.
Pattern
Most clues specify a strict shape icon (square, tall, or wide) — shape constraints often pin down dimensions before you can draw anything.
Learn more in Patches Puzzle Strategies →Takeaways
20 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×2, clue 3 → 3×1, clue 4 → 2×1, clue 5 → 1×2, clue 6 → 2×1, clue 7 → 3×1, clue 8 → 2×1, clue 9 → 2×1, clue 10 → 2×2, clue 11 → 1×3, clue 12 → 2×1, clue 13 → 2×1, clue 14 → 2×1, clue 15 → 2×2, clue 16 → 2×2, clue 17 → 2×1, clue 18 → 1×2, clue 19 → 1×2, clue 20 → 1×2. No overlap, every clue covered exactly once.
Any 4-cell candidate that overlaps an existing patch or leaves an odd-sized gap is eliminated — the grid must partition exactly.
Most clues specify a strict shape icon (square, tall, or wide) — shape constraints often pin down dimensions before you can draw anything.
Solution
This 7×7 board has 20 clues, 8 of which specify a required area. Shape hints include wide, tall, any, square proportions. 20 rectangles tile the 7×7 grid (49 cells): clue 1 → 1×2, clue 2 → 1×2, clue 3 → 3×1, clue 4 → 2×1, clue 5 → 1×2, clue 6 → 2×1, clue 7 → 3×1, clue 8 → 2×1, clue 9 → 2×1, clue 10 → 2×2, clue 11 → 1×3, clue 12 → 2×1, clue 13 → 2×1, clue 14 → 2×1, clue 15 → 2×2, clue 16 → 2×2, clue 17 → 2×1, clue 18 → 1×2, clue 19 → 1×2, clue 20 → 1×2. No overlap, every clue covered exactly once. Most clues specify a strict shape icon (square, tall, or wide) — shape constraints often pin down dimensions before you can draw anything. Use the Solution tab for a patch-by-patch reveal with live board updates, or the Solved board tab for the complete tiling.