How to Solve Snake: Connect the Numbers in One Path

Snake looks like a drawing puzzle, but the best way to solve it is to treat it as a scheduling problem. You need one orthogonal path that starts at 1, visits every numbered cell in sequence, fills every box exactly once, and never crosses a wall. A route can connect the visible numbers and still be wrong if it leaves one forgotten cell outside the path.

That last requirement changes everything. The question is not simply, “How do I reach the next number?” It is, “How do I reach the next number while preserving a route through every cell that remains?” The following workflow is the one I use when a Daily Grid Snake board stops looking obvious.

Begin with the map, not the number 1

Before drawing, scan the walls and the edge of the board. Look for cells with only two usable sides. If both sides must belong to the final route, that cell already tells you how the path passes through it. A pocket with one entrance is even more important: the path must enter, cover the pocket, and leave in a way that respects the numbered order.

These structural facts are more durable than a speculative move from 1. Marking them mentally gives you rails that the numbered path will eventually have to follow.

Use distance as a quick reality check

Consecutive clues create deadlines. If 7 and 8 are near each other, there may be only one legal way to connect them without revisiting a cell. If they are separated by walls, the shortest visible route may be impossible and the path must take a longer corridor.

Count the minimum orthogonal steps between the clues, then inspect the cells that any route would have to use. This does not always produce a complete segment, but it quickly eliminates paths that arrive from the wrong side or consume a cell needed later.

Reserve one-entry regions for one continuous visit

A narrow doorway is a warning. Once the path enters a region through that doorway, it may be impossible to come back later without crossing itself. Plan to cover the entire region during one continuous stretch of the number sequence.

If the region contains a numbered clue, that clue tells you roughly when the visit must happen. If it contains no clue, decide which gap between numbered cells has enough room to absorb it. This is often the key deduction on boards with internal walls.

Grow from both ends of a forced segment

You do not have to solve only forward from 1. Work backward from the highest number and outward from any tightly constrained clue pair. Several short, certain segments are more useful than one long, doubtful snake.

When two segments approach the same corridor, ask whether joining them would strand cells elsewhere. A correct connection should reduce uncertainty without creating a sealed empty island.

The empty-cell audit

After every substantial extension, stop and look only at the unused cells. Are they still one connected region, or can the remaining path enter every piece of them? A single isolated cell is enough to prove the latest turn was wrong.

This audit is especially useful near the end. Many almost-solutions fail because the route reaches the final number too efficiently. The winning path often takes a deliberate detour through the last open strip before it closes.

A practical solve order

• Read walls, bottlenecks, and one-entry pockets before drawing.
• Lock short forced connections between nearby numbered clues.
• Assign large empty regions to a specific gap in the sequence.
• Build from 1, from the final number, and from constrained middle clues.
• Audit unused cells whenever you are about to close a corridor.

Undo is part of route building

Snake lets you drag backward along the current path. Use that deliberately. If an empty-cell audit reveals a stranded pocket, unwind only to the turn that sealed it, then try the alternate exit from that junction. Erasing the whole route throws away every forced segment you already proved.

It also helps to distinguish a committed segment from a trial segment. A corridor forced by walls is worth keeping. A long sweep through an open room is provisional until the remaining cells confirm it. That simple distinction makes backtracking controlled rather than frustrating.

If you need to experiment, drag backward along your current route to undo cleanly. Practice boards are useful because they teach the feel of a healthy leftover region. Once that becomes instinctive, Snake stops being a maze and starts becoming a chain of small, checkable decisions.

A new Snake puzzle is available every day. For more repetitions with the same rules, open Practice and choose Snake.