mosaic-arrangements-must-be-hole-free

Build a ranked mosaic (one big tile plus smaller ones) with an arm for every possible count, so no entry is silently dropped and no arrangement leaves an empty rectangle — plus one clip around the whole block rather than one per tile. Use when a "top five" shows four, when a grid renders a visible gap at some counts, or when an early return on an "unsupported" size looks harmless.