The most definitive starting point was the Brown 6. Its clue was in the last row (row 8). For a rectangle to contain this clue, it must lie on that row. A 2x3 shape would require rows 7 and 8, but other clues (like Gray and Purple) were already occupying the space above. This forced the Brown 6 to be a 1x6 rectangle, defining the entire bottom boundary of the puzzle.

With the Brown 1x6 in place, attention turned to the Purple 6 in the bottom-left. It was now boxed in from below by the Brown patch and from the right by the clues for the Red and Green patches. With no room to expand downwards or far to the right, its only possible configuration was a 6x1 vertical strip, forming a solid "wall" on the left side of the grid.

A similar logic applied to the top-right corner. The Blue 3 clue, tucked into the absolute corner, could only be a 1x3 or a 3x1 strip. Placing it as a 1x3 vertical strip created a clean, predictable boundary. This move was important because it contained the adjacent Orange 6, forcing it into a neat 3x2 rectangle. Trying it the other way (a 3x1 Blue strip) would have created an unsolvable, L-shaped gap.

Once these four foundational "wall" pieces (Brown, Purple, Blue, and Orange) were set, the rest of the grid was a straightforward chain reaction. The Green 6 was now bordered on three sides, locking it into a 3x2 shape. The Pink 4 was similarly hemmed in, forcing it into a 4x1 strip. The remaining pieces then slotted into the only spaces they could fit, completing the grid.