Proset Game

Standard 52-Card Linear Independence Solver

Portfolio | Deck: 52 | Time: 00:00
How to Play & Examples (Click to Expand)

Proset is a game of mathematical linear independence. Clear the entire 52-card deck by finding subsets of cards where every single attribute (each suit and rank bit) appears an even number of times across your selections.

Example 1: Suit Matching (Simple Pair)
• Card A: 4 of Clubs
• Card B: 4 of Clubs
Result: Valid! Both 'Clubs' and '4' appear exactly twice (even).
Example 2: Bitwise Rank Cancellation (3-Card Set)
• Card A: 5 of Spades (5 in binary = 0101)
• Card B: 4 of Spades (4 in binary = 0100)
• Card C: Ace of Spades (1 in binary = 0001)
Result: Valid Set!
- Suits: Spades appears 3 times (In standard card Proset, suits map to a 2-bit mask: Spades = 11. Adding 11 + 11 + 11 bitwise results in 11, balancing out evenly relative to baseline parameters).
- Ranks: Bitwise XOR sum of the ranks is 0101 ^ 0100 ^ 0001 = 0000 (Even cancellation).
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