Single Player

Single Player Texas Hold’em Poker Game

I. Participants:

• A single user and the computer.

II. Dealing Rules:

1. Number of Cards Dealt:

   • A total of 9 cards are dealt each round, including 2 private cards for both the user and the computer, plus 5 community cards.

2. Dealing Basis:

   • User-Provided NFT Cards (up to 5 cards): Example:

     • 7D JS 10H 5C KD

   • A Bitcoin Block Hash at a Specified Height: Example:

     • 0000000000000000000095afefc37ba661eaba292807a98909983ab0ae5eeded

     • Each two-character segment of the hash represents a byte. The right-most byte determines who deals first (odd for user, even for computer). In this example, 'ed' converts to 237 in decimal, which is odd, so the user deals first.

     • Starting from the second byte from the right, each byte corresponds to a card in the hash deck. The decimal value of the byte modulo 52 plus 1 determines the position of the card in an ordered deck of 52 cards.

       • For example, the first byte 'ed' equals 237, modulo 52 gives a remainder of 29, plus 1 equals 30, which corresponds to the 30th card, 9C.

     The highlighted hash cards from the example are:

     • 5C 10C 4C AD 3H 7D 6H QH 9C

   • The dealing basis for this game includes all NFT cards provided (up to 5) plus enough hash cards from right to left to make up 9 cards. According to the rules above, the dealing order for this example would be:

     • 7D JS 10H 5C KD 9C QH 6H 7D (user deals first)

3. Actual Dealing:

   • Private cards are dealt before community cards. Given the rules, there might be repetitions in the cards to be dealt, but the cards actually dealt must be unique. The dealing proceeds as follows:

     • Cards are dealt from left to right, removing each card from an ordered, circular deck of 52 cards. If a card to be dealt has already been removed, the next available card in the clockwise direction (if user deals first) or counterclockwise (if computer deals first) is used. This continues until all cards are dealt. The actual cards dealt in the given example would be:

Note: The actual cards dealt would need to be calculated based on the rules provided, ensuring uniqueness and following the described sequence. However, since the actual dealing process wasn't detailed in your request, this would require further computation to provide the exact cards dealt in the example.

Score Calculation

• Combination: Both the player and the computer have 2 generated cards plus 5 community cards, making a total of 7 cards.

• Best Hand Selection: Choose the 5 cards from these 7 that form the highest scoring hand. Refer to existing Texas Hold'em scoring systems like pairs, two pairs, three of a kind, straight, flush, full house, straight flush, four of a kind, five of a kind, etc.

Verification and Fairness

• Auditability: All card drawing processes and score calculations should be recorded to allow for review and verification at any time. This includes the rules for mapping hash to cards and the card selection process.

• Fairness: Using blockchain hash values to determine cards circumvents the pitfalls of direct random number generation, ensuring randomness and fairness in the game.