nyoj 714 Card Trick
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Card Trick
时间限制:1000 ms | 内存限制:65535 KB
难度:3
- 描述
The magician shuffles a small pack of cards, holds it face down and performs the following procedure:
- The top card is moved to the bottom of the pack. The new top card is dealt face up onto the table. It is the Ace of Spades.
- Two cards are moved one at a time from the top to the bottom. The next card is dealt face up onto the table. It is the Two of Spades.
- Three cards are moved one at a time…
- This goes on until the nth and last card turns out to be the n of Spades.
This impressive trick works if the magician knows how to arrange the cards beforehand (and knows how to give a false shuffle). Your program has to determine the initial order of the cards for a given number of cards, 1 ≤ n ≤ 13.
- 输入
- On the first line of the input is a single positive integer k, telling the number of test cases to follow. 1 ≤ k ≤ 10 Each case consists of one line containing the integer n. 1 ≤ n ≤ 13
- 输出
- For each test case, output a line with the correct permutation of the values 1 to n, space separated. The first number showing the top card of the pack, etc…
- 样例输入
245
- 样例输出
2 1 4 33 1 4 5 2
- 来源
- 第六届河南省程序设计大赛
- 上传者
ACM_赵铭浩
代码:
#include <stdio.h>#include <string.h>#include <algorithm>#include <queue>using namespace std;int a[20];int top,bottom;void move(int bottom,int top,int n){while(n--){int tt=a[top],t;for(int i=bottom;i<=top;i++){t=a[i];a[i]=tt;tt=t;}}}int main(){int T;scanf("%d",&T);while(T--){int n;scanf("%d",&n);for(int i=1;i<=n;i++){a[i]=i;}top=bottom=n;//保存数组的起点和终点 for(int i=n;i>=1;i--)//i代表移动的次数 {//因为i/(top-bottom+1)*(top-bottom+1)次的移动会使数组保持不变 move(bottom,top,i%(top-bottom+1));//数组的起点,终点,移动的次数 bottom--;//每次加一个数 }printf("%d",a[1]);//输出最初的数组 for(int i=2;i<=n;i++){printf(" %d",a[i]);}printf("\n");}return 0;}
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