validate.py

def word_on_card(word_index, card_number):
    patterns = {
        0: {1: True, 2: True, 3: False},
        1: {1: False, 2: True, 3: True},
        2: {1: True, 2: False, 3: True},
    }
    pattern_index = word_index % 3
    return patterns[pattern_index][card_number]

def validate_recovery():
    print("Validating 2-of-3 card recovery for 24 words...")
    print("Pattern: Word 1: 1-yes, 2-yes, 3-no - Word 2: 1-no, 2-yes, 3-yes - Word 3: 1-yes, 2-no, 3-yes")
    print()
    
    # Check all possible 2-card combinations
    card_combinations = [(1, 2), (1, 3), (2, 3)]
    
    all_valid = True
    
    for combo in card_combinations:
        print(f"Testing cards {combo[0]} + {combo[1]}:")
        missing_words = []
        
        for word_pos in range(24):  # 24 words in BIP39
            # Check if word appears on at least one of the two cards
            appears_on_card1 = word_on_card(word_pos, combo[0])
            appears_on_card2 = word_on_card(word_pos, combo[1])
            
            if not (appears_on_card1 or appears_on_card2):
                missing_words.append(word_pos + 1)
        
        if missing_words:
            print(f"  ❌ FAILED: Words {missing_words} are missing from both cards")
            all_valid = False
        else:
            print("  ✅ PASSED: All words recoverable")
        print()
    
    # Detailed analysis
    print("Detailed word coverage analysis:")
    print("Word#  Card1  Card2  Card3  | 1+2  1+3  2+3")
    print("-------|-------|-------|-------|-----|-----|-----")
    
    for word_pos in range(24):
        c1 = word_on_card(word_pos, 1)
        c2 = word_on_card(word_pos, 2)
        c3 = word_on_card(word_pos, 3)
        
        combo_12 = c1 or c2
        combo_13 = c1 or c3
        combo_23 = c2 or c3
        
        print(f"Word{word_pos+1:2d}   {c1!s:5}  {c2!s:5}  {c3!s:5}  |  {combo_12!s:3}  {combo_13!s:3}  {combo_23!s:3}")
    
    print()
    if all_valid:
        print("🎉 VALIDATION SUCCESSFUL: All word combinations can be recovered with any 2 of 3 cards!")
    else:
        print("💥 VALIDATION FAILED: Some words cannot be recovered with 2 cards!")
    
    return all_valid

if __name__ == "__main__":
    validate_recovery()