Strategic subtraction using positive proper factors.
Reduce the number to 1 before your opponent does.
On your turn, choose one displayed move card. A factor move subtracts a positive proper factor from the current number. For example, selecting factor 4 from 20 changes the number to 16.
You see at most three randomly selected legal moves each turn. Choose only from those cards.
An odd composite number can sometimes offer a × 3 + 1 move. It increases the number, but it may create a better position for a later turn.
The special move is unavailable for prime or even numbers and can never exceed the initial number.
The player whose move makes the current number exactly 1 wins immediately. Plan ahead: each move changes the options available to the next player.
A win scores maximum steps − moves used + 1. Faster wins score more; the other player receives the matching negative score.
If nobody reaches 1 before the configured maximum-step limit, the game is a tie and both players score 0.
Choose who will participate in this session
Run PPO self-play and save a resumable neural-network checkpoint.
Choose the strategy used by the AI opponent.
Configure your starting game rules
Resume an in-progress game or review a completed match.
Includes EvE matches and saved replays from AI training runs.
Choose up to three randomly sampled factors or special moves.
Reached the target number 1 first.