10. Given is an ordered deck of n cards numbered 1 to n with card I at the top and card n at the bottom. The following operation is performed as long as there are at least two cards in the deck: Throw away the top card and move the card that is now on the top of the deck to the bottom of the deck. Your task is to find the sequence of discarded cards and the last, remaining card. Each line of input (except the last) contains a number 2 5ns 52. The last line contains 0 and this line should not be processed. Sample: Input: 7 19 2 Output: Discarded cards: 1, 3, 5, 7, 4, 2, Remaining card: 6 Discarded cards: 1,3, 5, 7,9, 11, 13, 15, 17, 19, 4, 8, 12, 16, 2, 10, 18, 14, Remaining card: 6 Discarded cards: 1, Remaining card: 2

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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10. Given is an ordered deck of n cards numbered 1 to n with card I at the top and card n at the
bottom. The following operation is performed as long as there are at least two cards in the deck:
Throw away the top card and move the card that is now on the top of the deck to the
bottom of the deck.
Your task is to find the sequence of discarded cards and the last, remaining card.
Each line of input (except the last) contains a number 2 <ns 52. The last line contains 0 and this line
should not be processed.
Sample:
Input:
7
19
2
Output:
Discarded cards: 1, 3, 5, 7, 4, 2,
Remaining card: 6
Discarded cards: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 4, 8, 12, 16, 2, 10, 18, 14,
Remaining card: 6
Discarded cards: 1,
Remaining card: 2
Transcribed Image Text:10. Given is an ordered deck of n cards numbered 1 to n with card I at the top and card n at the bottom. The following operation is performed as long as there are at least two cards in the deck: Throw away the top card and move the card that is now on the top of the deck to the bottom of the deck. Your task is to find the sequence of discarded cards and the last, remaining card. Each line of input (except the last) contains a number 2 <ns 52. The last line contains 0 and this line should not be processed. Sample: Input: 7 19 2 Output: Discarded cards: 1, 3, 5, 7, 4, 2, Remaining card: 6 Discarded cards: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 4, 8, 12, 16, 2, 10, 18, 14, Remaining card: 6 Discarded cards: 1, Remaining card: 2
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