Zip Level 5 is a 6×6 Zip board with 5 numbered checkpoints and 6 walls. The Hamiltonian path visits all 36 cells once, hits checkpoints 1–5 in order, and ends on the final number. Segment plan: 1→2 (16 cells, R5C2→R4C6); 2→3 (7 cells, R4C6→R1C3); 3→4 (2 cells, R1C3→R1C2); 4→5 (14 cells, R1C2→R5C5).
Board spotlight: Many blocked edges narrow your options early — map wall bottlenecks before tracing toward the next numbered checkpoint. Wall count 6 on 6×6 shapes which corridors stay open between numbered cells.
Segment 1 (1→2): 16 cells from R5C2 to R4C6. Long 16-cell sweep (44% of the board) from checkpoint 1 to 2 — most of the Hamiltonian path lives in this detour.
Segment 2 (2→3): 7 cells from R4C6 to R1C3. 7 cells link checkpoint 2 at R4C6 to checkpoint 3 at R1C3 with open corridors (no walls on this segment).
Segment 3 (3→4): 2 cells from R1C3 to R1C2. Tight 2-cell hop — checkpoints 3 and 4 sit near each other; still visit every intervening cell exactly once.
Segment 4 (4→5): 14 cells from R1C2 to R5C5. Long 14-cell sweep (39% of the board) from checkpoint 4 to 5 — most of the Hamiltonian path lives in this detour.
Complete path: 36 cells, checkpoints in order, ending on 5. Pattern: dense-wall maze — Many blocked edges narrow your options early — map wall bottlenecks before tracing toward the next numbered checkpoint.