LinkedIn Patches #115 Answer & Analysis

The yellow 6 in the top-left corner is forced into a 3x2 rectangle, because the corner gives it exactly enough room and no extra bend. Next to it, the orange 3 becomes a straight vertical strip, and the red 6 settles into the upper-middle 3x2 block. On the far right, the blue 6 also has a natural edge-based rectangle, so the entire top section becomes fixed very early.

Once the blue 6 is fixed, the green 3 underneath it is forced into a short horizontal run. After that, the cyan 8 becomes the most obvious move: it spans the full width as a single horizontal band and cleanly divides the board into top and bottom halves.

The purple 4 in the lower-left section is forced into a 2x2 block, because the left border and the central divider limit its shape. Right beside it, the gray 2 can only be a vertical domino. That leaves the tan 10 with one clean large rectangle across the lower-right-middle area.

The bottom two rows are then split into three clean rectangles: the dark green 6 on the left, the magenta 4 in the center, and the pink 6 on the right. These are all natural rectangular fits, so once the earlier patches are placed, the bottom band completes itself with no overlaps and no leftover cells.

The final layout works because every numbered patch matches its exact cell count, every region stays connected, no two patches overlap, and the entire board is filled. That is why the published LinkedIn Patches #115 solution for 2026-07-10 is valid.