Case file Patches Level 2: 5×5 tiling puzzle, 7 clue exhibits, area range 1–8 cells per patch. Full partition: 7 rectangles tile the 5×5 grid (25 cells): clue 1 → 1×1, clue 2 → 2×2, clue 3 → 2×2, clue 4 → 2×1, clue 5 → 2×4, clue 6 → 2×1, clue 7 → 1×4. No overlap, every clue covered exactly once. Pattern tag: large-anchor tiling.
Board spotlight: 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. With 7 of 7 clues showing a numbered area, dimension math often pins down rectangle size before you choose a position on the grid.
General Patches strategy on 5×5: 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, 1×1 at Row 1, column 1. The clue shows area 1, so its patch must cover exactly 1 cells (1×1 = 1). The shape icon requires a square. This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 2: clue 2, 2×2 at Row 1, 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 3: clue 3, 2×2 at Row 1, column 4. The clue shows area 4, so its patch must cover exactly 4 cells (2×2 = 4). The shape icon requires a square. This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 4: clue 4, 2×1 at Row 2, column 1. 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). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 5: clue 5, 2×4 at Row 3, column 2. The clue shows area 8, so its patch must cover exactly 8 cells (2×4 = 8). 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 6: clue 6, 2×1 at Row 4, column 1. 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). This is the only rectangle that fits the clue, avoids other patches, and still allows a full tiling.
Exhibit 7: clue 7, 1×4 at Row 5, column 2. The clue shows area 4, so its patch must cover exactly 4 cells (1×4 = 4). 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.