Archive · Zip #31
Zip #31 (October 26, 2026): solution and route
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Zip #31 was the 6×6 easy board of Monday, October 26, 2026: 9 numbered dots, 0 walls, and one path that visits all 36 cells in order. Our solver, a line-for-line port of the app's, needed 145 search nodes to prove the path unique, which puts the board at 4 of 5 on the difficulty scale. Along the answer, 60% of the moves had only one legal continuation; the other 14 steps offered a real choice, and those are where you have to look ahead. The path turns at 65% of its cells, and its longest straight run is 4 cells. The longest leg, between two consecutive dots, is 10 cells.
Zip #31 in numbers
| Board | 6×6, Easy |
| Numbered dots | 9 |
| Walls | 0 |
| Cells on the path | 36 |
| Solver search nodes | 145 (4/5) |
| Moves with a single legal continuation | 60% |
| Decision points | 14 |
| Turns along the path | 65% |
Zip #31 route, dot by dot
How many cells each leg takes and which way it runs, reading from dot 1. “Right 3” means three steps to the right.
| Leg | Cells | Directions |
|---|---|---|
| 1 → 2 | 1 | right 1 |
| 2 → 3 | 8 | right 1, up 1, left 3, down 1, left 2 |
| 3 → 4 | 10 | up 1, right 1, up 1, left 1, up 3, right 1, down 1, right 1 |
| 4 → 5 | 1 | up 1 |
| 5 → 6 | 3 | right 1, down 2 |
| 6 → 7 | 3 | right 1, up 2 |
| 7 → 8 | 6 | right 1, down 3, left 2 |
| 8 → 9 | 3 | left 1, up 1, left 1 |
Where the choices are: step 1 at row 6, column 4 (3 ways), step 2 at row 6, column 5 (2 ways), step 4 at row 5, column 6 (2 ways), step 5 at row 5, column 5 (2 ways), step 7 at row 5, column 3 (3 ways) and step 9 at row 6, column 2 (2 ways) and 8 more. Everywhere else only one move keeps the board solvable.
Zip #31 solution
The number in each cell is its position on the path; the dots keep their own numbers and are highlighted.
Back to the Zip archive, today's puzzle, or how to play Zip.
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