58 lines
2.5 KiB
Plaintext
58 lines
2.5 KiB
Plaintext
--- Part Two ---
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Just as you're about to report your findings to the Elf, one of you realizes
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that the rules have actually been printed on the back of every card this whole
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time.
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There's no such thing as "points". Instead, scratchcards only cause you to win
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more scratchcards equal to the number of winning numbers you have.
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Specifically, you win copies of the scratchcards below the winning card equal to
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the number of matches. So, if card 10 were to have 5 matching numbers, you would
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win one copy each of cards 11, 12, 13, 14, and 15.
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Copies of scratchcards are scored like normal scratchcards and have the same
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card number as the card they copied. So, if you win a copy of card 10 and it has
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5 matching numbers, it would then win a copy of the same cards that the original
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card 10 won: cards 11, 12, 13, 14, and 15. This process repeats until none of
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the copies cause you to win any more cards. (Cards will never make you copy a
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card past the end of the table.)
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This time, the above example goes differently:
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Card 1: 41 48 83 86 17 | 83 86 6 31 17 9 48 53
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Card 2: 13 32 20 16 61 | 61 30 68 82 17 32 24 19
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Card 3: 1 21 53 59 44 | 69 82 63 72 16 21 14 1
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Card 4: 41 92 73 84 69 | 59 84 76 51 58 5 54 83
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Card 5: 87 83 26 28 32 | 88 30 70 12 93 22 82 36
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Card 6: 31 18 13 56 72 | 74 77 10 23 35 67 36 11
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Card 1 has four matching numbers, so you win one copy each of the next four
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cards: cards 2, 3, 4, and 5.
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Your original card 2 has two matching numbers, so you win one copy each of cards
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3 and 4.
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Your copy of card 2 also wins one copy each of cards 3 and 4.
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Your four instances of card 3 (one original and three copies) have two matching
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numbers, so you win four copies each of cards 4 and 5.
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Your eight instances of card 4 (one original and seven copies) have one matching
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number, so you win eight copies of card 5.
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Your fourteen instances of card 5 (one original and thirteen copies) have no
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matching numbers and win no more cards.
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Your one instance of card 6 (one original) has no matching numbers and wins no
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more cards.
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Once all of the originals and copies have been processed, you end up with 1
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instance of card 1, 2 instances of card 2, 4 instances of card 3, 8 instances of
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card 4, 14 instances of card 5, and 1 instance of card 6. In total, this example
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pile of scratchcards causes you to ultimately have 30 scratchcards!
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Process all of the original and copied scratchcards until no more scratchcards
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are won. Including the original set of scratchcards, how many total scratchcards
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do you end up with?
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