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
Output
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 <string.h>
using namespace std;
int main()
{
int n;
while(cin>>n&&n)
{
int a[100],b[100],c[1];
int i,j=0,head,tail;
head=0; //将head标记到队列开头
tail=n; //将tail标记到队列最后一位的后一位,因为需要留一个位置给开头的数
for(i=0; i<n; i++)
a[i]=i+1;// 1 2 3 4 5 6 7
if(n==1)
{
cout<<"Discarded cards:"<<endl;
cout<<"Remaining card: 1"<<endl;
}
else
{
while(head+1<tail) //这里的判断条件表示当a数组还没有到一个数时,就循环下去
{
b[j++]=a[head]; //将第一个数赋给数组b,并且j由0开始增加
head++; //head向后移动一位,此时去掉了”第一个数“ 2 3 4 5 6 7
a[tail]=a[head]; //将第二个数移动到队列最后 2 3 4 5 6 7 2
c[0]=a[tail]; //每次将最后一个数赋给长度为1的数组c,当还剩最后一个数时,c[0]就是剩下的数
tail++; //tail向后移动一位,为下一个移动到队尾的数留位子
head++; //因为已经将队列的第一个移动到了队尾,所以head向后移动一位 3 4 5 6 7 2
}
cout<<"Discarded cards: ";
for(int k=0; k<=j-2; k++) //因为j++。当跳出while时,j还多加了1,所以多减个1
cout<<b[k]<<", ";
cout<<b[j-1]<<endl; //与上一条一样
cout<<"Remaining card: ";
cout<<c[0]<<endl;
}
}
}
特别注意输出是否少多空格,符号问题,反正我是吃了苦头.....