LinkedIn Patches #57 Answer & Analysis

Begin with the patches that have almost no freedom. The red 3-cell patch fits into the left edge as a vertical strip, and the orange 3-cell patch fits into the upper-right edge as another vertical strip. These placements immediately protect the corners and stop the board from fragmenting.

The blue 5-cell patch is forced into a narrow vertical lane near the left side. Because it needs five connected cells and the surrounding space is limited, it becomes a straight column-like region. Solving it early also leaves a clean top band for the smaller patch above the middle.

Once the top edge is cleared, the yellow 3-cell patch settles across the remaining top-center cells. Directly beneath it, the large purple 6-cell patch fills the middle band in a compact rectangle. This is the key divide in the board: after these two are placed, the upper and lower halves are much easier to read.

The gray 3-cell patch drops into the lower-left side, where the left border limits expansion. The green 4-cell patch forms a compact 2x2 block in the center-lower area, using the open space directly below the purple block. These placements preserve connectivity and avoid trapping isolated cells.

The brown 3-cell patch occupies the lower-middle-right column, and the cyan 3-cell patch finishes the far-right side as a vertical strip. The magenta 3-cell patch then fills the bottom-center run. These are the last pieces, and they fit cleanly because the earlier patches have already boxed them in.