How to Win the Snake Game: The Perfect-Game Strategy

Most people think snake is endless — that you play until you slip up. But snake is a solvable puzzle. With the right method you can, in theory, fill every square on the board. Here is how winning actually works.

What “winning” means in snake

You win snake when your body fills every free cell on the board, leaving no room for another apple. On a 20 by 20 grid that is 400 segments — a genuinely huge snake. Getting there is not about reflexes; it is about following a route that never traps you.

The Hamiltonian cycle: the guaranteed method

The safest winning strategy borrows a idea from graph theory called a Hamiltonian cycle — a single looping path that visits every square exactly once and returns to the start. If your snake simply follows that loop forever, it will eventually eat every apple without ever crossing itself, because the path never overlaps.

The simplest Hamiltonian loop is the boustrophedon sweep: go up the first column, across one square, down the next column, and so on, then run back along the top row to close the loop. Trace that pattern patiently and you cannot lose — only get bored.

Why pros take shortcuts

Following the full loop every time is safe but slow, because you often travel the long way round to reach an apple that is sitting right next to you. Advanced players cut across the inside of the loop when it is safe, then rejoin it — trading a little risk for a lot of speed. The skill is knowing when a shortcut leaves you enough room to survive.

The practical version for real games

You do not need to memorise a perfect loop to play well. Three habits get you most of the way: fill the board in tidy rows, follow directly behind your tail when space runs low, and never turn into a gap you cannot exit. Do that consistently and your scores climb fast.

Try it now

The wrap-around no-walls mode is the friendliest place to practise looping paths, and the big board gives you room to rehearse the sweep. When you are ready to test control, the classic board keeps you honest.