SOLO-027 · Hamiltonian path
EXTREMEThe Maze Without Walls
Number all boxes from 1 to 36 to form a single orthogonal path without repetition.
Materials: Pencil, gum and grill; no connection required.
Rules you need
- The successive numbers occupy two boxes sharing one side; no diagonal displacement.
- Each box receives exactly a number of 1 to 36. Print marks remain in their place.
- The course starts in 1 and ends in 36; it does not have to go back to the start.
The puzzle
The white boxes are all usable. The boxes without clues are not obstacles.
| L / C | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| 1 | ||||||
| 2 | 23 | |||||
| 3 | ||||||
| 4 | 1 | |||||
| 5 | 36 | 17 | ||||
| 6 | 33 | 32 |
Your workspace
Write down your assumptions separately from deductions you have proved.