Generate all possible solitaire game states

Use the rules from solitaire-game.com to build a permutation tree of all possible games for each possible
permutation of the deck of cards. Cards may be reshuffled up to three times for each game. Each game will constitute a unique and deterministic path along the permutation tree which is generate for each unique deck configuration.

Here are the rules:

Klondike

klondike soiltaire card gameThis solitaire uses one deck (52 cards). Twenty-eight cards are dealt from the deck into the 7 tableau piles with the number of cards per pile increasing from one to seven from left to right. The top card is face up, the rest face down.

The object of the game is to move four aces to the foundations as they become, and to build the foundations up in suit from Ace to King.
The rules:

Top cards of tableau piles and waste pile are available to play.

You can build tableau piles down by alternate color. One card or group of cards in the proper sequence can be moved from pile to pile. If during the play any of closed cards become the top card of a stack it turns over. Empty tableaus may be filled with a King or group of cards headed with a King.

When you have made all the available plays on the board, begin turning over cards from stock. 3 cards at a time are turned over from the Stock. You can move cards from stock pile to the tableau piles and to the foundations according to the rules mentioned above.

You have two redeals.