给定n张卡片，按照1-n的顺序编号，然后拿出一张卡片扔掉，拿出一张卡片放到最后，重复该操作直到只剩1张卡片。

求扔掉的卡片序列和最后剩的卡片的编号。

7　　　　　　　　//卡牌编号从1到7
19　　　　　　　//卡牌编号从1到19
10
6
0

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

#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <queue>

using namespace std;

#define MAX_N 15

int main103()
{
    freopen("data5_3_h.in", "r", stdin);
    freopen("data5_3_h.out", "w", stdout);

    int num,first_ele;
    while (cin>>num&&num!=0)
    {
        queue<int> card;　　//使用队列进行模拟
        bool flag = false;
        for (int i = 1; i <= num; i++)
            card.push(i);
        cout << "Discarded cards: ";
        while (card.size()!=1)
        {
            if (!flag)
            {
                cout << card.front();
                if (card.size() != 2)
                    cout << ", ";
            }
            else
                card.push(card.front());
            card.pop();
            flag = !flag;
        }
        cout << "
Remaining card:" << card.front() << endl;
    }

    freopen("CON", "r", stdin);
    freopen("CON", "w", stdout);
    return 0;
}