LinkedIn Patches #58 Answer & Analysis

The first reliable placements are the small patches in the upper-left corner. The red 2-cell patch is forced across the top-left edge, and the teal 2-cell patch fits directly beneath it. Those two placements establish the left boundary without trapping any cells.

Next, place the narrow gold 2-cell patch in the top-middle column, then lock the largest blue 8-cell patch into the full upper-right block. The blue patch is strongly constrained by the top and right edges, so it wants a long rectangle rather than a broken shape.

With the top edge fixed, the orange 4-cell patch becomes the vertical divider in the middle of the board. It separates the left and right halves and leaves a clean path for the remaining patches below.

Once the divider is set, the purple 4-cell patch naturally drops down the far-left column, and the green 6-cell patch fills the center-left rectangle beside it. These two placements use the remaining open space efficiently and keep both regions connected.

The last open area is the lower strip of the grid. The brown 3-cell patch completes the lower middle-right section, the salmon 3-cell patch fills the bottom-middle run, and the magenta 2-cell patch closes the bottom-right corner. At this point the grid is fully filled with no overlaps.