7-5 Shuffling Machine

Topic describes:

Shuffling is a procedure used to randomize a deck of playing cards. Because standard shuffling techniques are seen as weak, and in order to avoid "inside jobs" where employees collaborate with gamblers by performing inadequate shuffles, many casinos employ automatic shuffling machines. Your task is to simulate a shuffling machine.

The machine shuffles a deck of 54 cards according to a given random order and repeats for a given number of times. It is assumed that the initial status of a card deck is in the following order:

S1, S2, ..., S13, 
H1, H2, ..., H13, 
C1, C2, ..., C13, 
D1, D2, ..., D13, 
J1, J2

where "S" stands for "Spade", "H" for "Heart", "C" for "Club", "D" for "Diamond", and "J" for "Joker". A given order is a permutation of distinct integers in [1, 54]. If the number at the i-th position is j, it means to move the card from position i to position j. For example, suppose we only have 5 cards: S3, H5, C1, D13 and J2. Given a shuffling order {4, 2, 5, 3, 1}, the result will be: J2, H5, D13, S3, C1. If we are to repeat the shuffling again, the result will be: C1, H5, S3, J2, D13.

Input Specification:

Each input file contains one test case. For each case, the first line contains a positive integer K (≤20) which is the number of repeat times. Then the next line contains the given order. All the numbers in a line are separated by a space.

Output Specification:

For each test case, print the shuffling results in one line. All the cards are separated by a space, and there must be no extra space at the end of the line.

Sample Input:

2
36 52 37 38 3 39 40 53 54 41 11 12 13 42 43 44 2 4 23 24 25 26 27 6 7 8 48 49 50 51 9 10 14 15 16 5 17 18 19 1 20 21 22 28 29 30 31 32 33 34 35 45 46 47

Sample Output:

S7 C11 C10 C12 S1 H7 H8 H9 D8 D9 S11 S12 S13 D10 D11 D12 S3 S4 S6 S10 H1 H2 C13 D2 D3 D4 H6 H3 D13 J1 J2 C1 C2 C3 C4 D1 S5 H5 H11 H12 C6 C7 C8 C9 S2 S8 S9 H10 D5 D6 D7 H4 H13 C5

Train of thought:

此题中的洗牌规则为：

因此我们需要设置三个数组，分别存放洗牌之前的牌的摆放情形，洗牌之后的牌的摆放情形以及题目给的洗牌顺序。

Code:

#include 
#include 
using namespace std;
int main() 
{
    int n;
    cin >> n;
    int arr1[60];//洗牌之前的牌的摆放情形
    int arr2[60];//洗牌之后的牌的摆放情形
    //arr1和arr2的下标表示牌的顺序
    int rate[60];//题目给的洗牌顺序
    for (int i = 1; i <=54; i++) 
    {
        cin >> rate[i];//输入题目所给的洗牌顺序
        arr2[i] = i;//用数组的值1~54表示S1,S2,S3……J1,J2.
    }
    while(n--)
    {
        for (int j = 1; j <= 54; j++)
        {
            arr1[j] = arr2[j];
        }
        for (int j = 1; j <= 54; j++)
        {
            arr2[rate[j]] = arr1[j];
        }
    }
    char id[6] = { "SHCDJ" };
    for (int i = 1; i <=54; i++) 
    {
        arr2[i] -= 1;//防止13的倍数被整除导致下面输出时出错
        cout << id[(arr2[i]) / 13] << arr2[i] % 13+1;
        if(i!=54)
            cout<<' ';
    }
    return 0;
}
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