A 1042 Shuffling Machine (20分)

本文介绍了一种使用自动洗牌机模拟洗牌过程的算法。通过给定的随机顺序,算法能够对一副包含54张牌的牌堆进行多次洗牌,并详细解释了输入输出规格及示例。

题目

1042 Shuffling Machine (20分)
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

题目大意:

  • 按照给的顺序,进行洗牌。原有的位置将会变成现在对应的数字。
  • 并且重复k次。

思路

  • 构造两个数组,第一个记录原先的位置,第二个记录变更的位置,变更之后将end赋值给begin
  • 输出的时候可以采用 end/13这样,对应S,H,C,D,J。
  • 注意编号是从1到13,如果 直接end/13会造成当 n=13的时候,变成了 S0,可以提前end–,再进行+1

代码

#include <stdio.h>
int m[55];
int begin[55];
int end[55];
int main(){
	int n;
	scanf("%d\n",&n);

	for(int i=1;i<=54;i++){
		scanf("%d",&m[i]);
		begin[i]=i;
	}
	for(int i=0;i<n;i++){
	for (int i=1;i<=54;i++){
		end[m[i]] = begin[i];
	}
	for(int i=1;i<=54;i++){
		begin[i]=end[i];
	}	
	}
	int mp[5] = {'S','H','C','D','J'};
	for (int i=1;i<=54;i++){
		if(i!=1)printf(" ");
		end[i]--;
		printf("%c%d",mp[(end[i])/13],(end[i])%13+1);
	}

	
}

参考

晴神宝典

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A shuffling machine in C++ can be implemented using an array to represent the deck of cards and using the random number generator to shuffle the cards. Here is a sample code for a shuffling machine: ``` #include <iostream> #include <cstdlib> #include <ctime> using namespace std; const int NUM_CARDS = 52; class ShufflingMachine { private: int deck[NUM_CARDS]; int position; public: ShufflingMachine() { for (int i = 0; i < NUM_CARDS; i++) { deck[i] = i; } position = 0; } void shuffle() { srand(time(NULL)); for (int i = 0; i < NUM_CARDS; i++) { int j = rand() % NUM_CARDS; swap(deck[i], deck[j]); } position = 0; } int dealCard() { if (position >= NUM_CARDS) { shuffle(); } return deck[position++]; } }; int main() { ShufflingMachine shuffler; shuffler.shuffle(); for (int i = 0; i < NUM_CARDS; i++) { cout << shuffler.dealCard() << " "; } cout << endl; return 0; } ``` In this code, the `ShufflingMachine` class represents the shuffling machine. The `deck` array stores the deck of cards, and the `position` variable keeps track of the current position in the deck. The `shuffle` method shuffles the deck by randomly swapping cards. It uses the `srand` function to seed the random number generator with the current time, and the `rand` function to generate random indices for swapping cards. The `dealCard` method deals the next card from the deck. If the deck has been exhausted, it calls the `shuffle` method to shuffle the cards again. In the `main` function, we create a `ShufflingMachine` object and shuffle the cards. Then we deal all the cards and print them out.
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