시간 제한 | 메모리 제한 | 제출 | 정답 | 맞힌 사람 | 정답 비율 |
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1 초 | 128 MB | 148 | 73 | 60 | 67.416% |
Bessie is playing a card game with her N-1 (2 <= N <= 100) cow friends using a deck with K (N <= K <= 100,000; K is a multiple of N) cards. The deck contains M = K/N "good" cards and K-M "bad" cards. Bessie is the dealer and, naturally, wants to deal herself all of the "good" cards. She loves winning.
Her friends suspect that she will cheat, though, so they devise a dealing system in an attempt to prevent Bessie from cheating. They tell her to deal as follows:
Bessie, desperate to win, asks you to help her figure out where she should put the "good" cards so that she gets all of them. Notationally, the top card is card #1, next card is #2, and so on.
3 9 2
3 7 8
Bessie is playing cards with two cow friends and a deck of 9 cards. She must place two cards on the bottom of the deck each time she deals one.
Bessie should put the "good" cards in positions 3, 7, and 8. The cards will be dealt as follows; the card numbers are "position in original deck":
Card Deck P1 P2 Bessie Initial configuration 1 2 3 4 5 6 7 8 9 - - - - - - - - - Deal top card [1] to Player 1 2 3 4 5 6 7 8 9 1 - - - - - - - - Top card to bottom (#1 of 2) 3 4 5 6 7 8 9 2 1 - - - - - - - - Top card to bottom (#2 of 2) 4 5 6 7 8 9 2 3 1 - - - - - - - - Deal top card [4] to Player 2 5 6 7 8 9 2 3 1 - - 4 - - - - - Top card to bottom (#1 of 2) 6 7 8 9 2 3 5 1 - - 4 - - - - - Top card to bottom (#2 of 2) 7 8 9 2 3 5 6 1 - - 4 - - - - - Deal top card [7] to Bessie 8 9 2 3 5 6 1 - - 4 - - 7 - - Top card to bottom (#1 of 2) 9 2 3 5 6 8 1 - - 4 - - 7 - - Top card to bottom (#2 of 2) 2 3 5 6 8 9 1 - - 4 - - 7 - - Deal top card [2] to Player 1 3 5 6 8 9 1 2 - 4 - - 7 - - Top card to bottom (#1 of 2) 5 6 8 9 3 1 2 - 4 - - 7 - - Top card to bottom (#2 of 2) 6 8 9 3 5 1 2 - 4 - - 7 - - Deal top card [6] to Player 2 8 9 3 5 1 2 - 4 6 - 7 - - Top card to bottom (#1 of 2) 9 3 5 8 1 2 - 4 6 - 7 - - Top card to bottom (#2 of 2) 3 5 8 9 1 2 - 4 6 - 7 - - Deal top card [3] to Bessie 5 8 9 1 2 - 4 6 - 7 3 - Top card to bottom (#1 of 2) 8 9 5 1 2 - 4 6 - 7 3 - Top card to bottom (#2 of 2) 9 5 8 1 2 - 4 6 - 7 3 - Deal top card [9] to Player 1 5 8 1 2 9 4 6 - 7 3 - Top card to bottom (#1 of 2) 8 5 1 2 9 4 6 - 7 3 - Top card to bottom (#2 of 2) 5 8 1 2 9 4 6 - 7 3 - Deal top card [5] to Player 2 8 1 2 9 4 6 5 7 3 - Top card to bottom (#1 of 2) 8 1 2 9 4 6 5 7 3 - Top card to bottom (#1 of 2) 8 1 2 9 4 6 5 7 3 - Deal top card [8] to Bessie - 1 2 9 4 6 5 7 3 8
Bessie will end up with the "good cards" that have been placed in positions 3, 7, and 8 in the original deck.