UVA 10935 Throwing cards away I (queue)

本文介绍了一个特定的算法问题:给定一组有序卡片,通过特定规则移除卡片直至剩下最后一张。文章详细描述了输入输出格式及样例,并提供了一段C++代码实现该算法。

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  Given is an ordered deck of n cards numbered 1 to n with card 1 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. 

Input Each line of input (except the last) contains a number n ≤ 50. The last line contains ‘0’ and this line should not be processed. 

Output For each number from the input produce two lines of output. The first line presents the sequence of discarded cards, the second line reports the last remaining card. No line will have leading or trailing spaces. See the sample for the expected format.

Sample Input

7

19

10

6

0


Sample 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, 3, 5, 7, 9, 2, 6, 10, 8

Remaining card: 4

Discarded cards: 1, 3, 5, 2, 6

Remaining card: 4


#include <iostream>
#include <algorithm>
#include <cstdlib>
#include <queue>

using namespace std;

int main()
{
    int n;
    while(cin>>n&&n)
    {
        queue <int> a;
        for(int i=1;i<=n;++i)//若i为1,则直接执行两个cout语句
            a.push(i);
        cout<<"Discarded cards:";
        int flag=0;
        while(a.size()>1)
        {
            if(flag)
                cout<<",";

            cout<<" "<<a.front();
            a.pop();

            a.push(a.front());
            a.pop();
            flag=1;
        }
        cout<<endl<<"Remaining card: "<<a.front()<<endl;
    }
    return 0;
}



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