Archive · Zip #32

Zip #32 (October 27, 2026): solution and route

The 6×6 Medium puzzle from Tuesday, October 27, 2026. Play it first; the route and the solved path are folded below. Replays don't affect your streak.

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Zip #32 was the 6×6 medium board of Tuesday, October 27, 2026: 8 numbered dots, 2 walls, and one path that visits all 36 cells in order. Our solver, a line-for-line port of the app's, needed 303 search nodes to prove the path unique, which puts the board at 5 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 50% of its cells, and its longest straight run is 6 cells. The longest leg, between two consecutive dots, is 13 cells.

Zip #32 in numbers

Board6×6, Medium
Numbered dots8
Walls2
Cells on the path36
Solver search nodes303 (5/5)
Moves with a single legal continuation60%
Decision points14
Turns along the path50%
Zip #32 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.

LegCellsDirections
1 → 25down 4, right 1
2 → 34up 4
3 → 45up 1, left 4
4 → 53left 1, down 1, right 1
5 → 613right 2, down 2, left 1, down 1, right 1, down 1, left 3, up 1, right 1
6 → 72up 1, left 1
7 → 83up 1, right 2

Where the choices are: step 1 at row 2, column 5 (3 ways), step 2 at row 3, column 5 (3 ways), step 3 at row 4, column 5 (3 ways), step 4 at row 5, column 5 (2 ways), step 5 at row 6, column 5 (2 ways) and step 13 at row 1, column 4 (2 ways) and 8 more. Everywhere else only one move keeps the board solvable.

Zip #32 solution

The number in each cell is its position on the path; the dots keep their own numbers and are highlighted.

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