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