Inverteum Capital

Solitaire

1-card draw

Score 0 Legal player

Tap the stock to draw. Tap a face-up card, then a pile or a foundation. Tap the selected card again to play it if it has one clear spot. Undo draw returns the waste card and costs 10 points. Choose Legal player (no peeking) or God mode (the AI may use face-down cards) for AI move and Play AI. Face-down cards stay hidden on the board. Hint stays with the Legal player.

AI modes

Win rates are completed wins on this 1-card-draw Solitaire ruleset, not generic Klondike. The test used 1,000 random deals, seeds 1–1000, shuffled with Java’s Random.

Legal player

52.9% 529 / 1,000 games

Legal player cannot see cards that are not flipped over. It does not look at face-down tableau cards or undrawn stock. When a move is not forced, it shuffles the unseen cards into one sample layout and searches that sample only. This is the best stable legal result measured on this 1,000-deal set, not a proof that no no-peeking player can ever do better.

God mode

80.0% 800 / 1,000 games

God mode can see face-down tableau cards and undrawn stock, and it searches that true layout. The board shown to a person does not change: those cards stay face down. God mode is the AI’s hidden knowledge, not a cheat view for the person watching.

The 80.0% result used a 100,000-node search budget. Raising that budget to 500,000 nodes did not rescue the losses in a 30-deal check.

The original hint AI, a baseline that is not one of these two modes, won 386 / 1,000 games (38.6%). Eight of those deals crashed and were counted as losses. In the playable game, the AI mode menu selects Legal player or God mode for AI move and Play AI. Hint stays with the Legal player.