[kuangbin带你飞]专题一 简单搜索 -G - Shuffle'm Up

本文介绍了一种关于扑克筹码洗牌的算法问题,通过不断交错叠放两堆筹码实现洗牌,并探讨如何通过有限次操作达到特定的目标排列。文中提供了一个编程解决方案,利用模拟的方法并借助 map 数据结构来记录每一步的状态。

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Shuffle'm Up
Time Limit: 1000MS Memory Limit: 65536K
Total Submissions: 8706 Accepted: 4002

Description

A common pastime for poker players at a poker table is to shuffle stacks of chips. Shuffling chips is performed by starting with two stacks of poker chips, S1 and S2, each stack containing C chips. Each stack may contain chips of several different colors.

The actual shuffle operation is performed by interleaving a chip from S1 with a chip from S2 as shown below for C = 5:

The single resultant stack, S12, contains 2 * C chips. The bottommost chip of S12 is the bottommost chip from S2. On top of that chip, is the bottommost chip from S1. The interleaving process continues taking the 2nd chip from the bottom of S2 and placing that on S12, followed by the 2nd chip from the bottom of S1 and so on until the topmost chip from S1 is placed on top of S12.

After the shuffle operation, S12 is split into 2 new stacks by taking the bottommost C chips from S12 to form a new S1 and the topmost C chips from S12 to form a new S2. The shuffle operation may then be repeated to form a new S12.

For this problem, you will write a program to determine if a particular resultant stack S12 can be formed by shuffling two stacks some number of times.

Input

The first line of input contains a single integer N, (1 ≤ N ≤ 1000) which is the number of datasets that follow.

Each dataset consists of four lines of input. The first line of a dataset specifies an integer C, (1 ≤ C ≤ 100) which is the number of chips in each initial stack (S1 and S2). The second line of each dataset specifies the colors of each of the C chips in stack S1, starting with the bottommost chip. The third line of each dataset specifies the colors of each of the C chips in stack S2 starting with the bottommost chip. Colors are expressed as a single uppercase letter (A through H). There are no blanks or separators between the chip colors. The fourth line of each dataset contains 2 * C uppercase letters (A through H), representing the colors of the desired result of the shuffling of S1 and S2 zero or more times. The bottommost chip’s color is specified first.

Output

Output for each dataset consists of a single line that displays the dataset number (1 though N), a space, and an integer value which is the minimum number of shuffle operations required to get the desired resultant stack. If the desired result can not be reached using the input for the dataset, display the value negative 1 (−1) for the number of shuffle operations.

Sample Input

2
4
AHAH
HAHA
HHAAAAHH
3
CDE
CDE
EEDDCC

Sample Output

1 2
2 -1


分析:暴力模拟,使用了map。顺便学习一波。


code:

#include <map>
#include <cstdio>
#include <cstring>
#include <iostream>

using namespace std;
typedef long long ll;
int len, flag, cas;
char arr_A[210], arr_B[210], arr_R[420], arr_C[420], arr_AC[210], arr_BC[210];

int cheack(char *A,char *B)
{
	//cout << strlen(A) << endl;
	for (ll i = 1; i <= strlen(A) ; i++)
	{
		if (arr_R[i] != arr_C[i])
			return 0;
	}
	return 1;
}

void work()
{
	map<string,bool> vist;
	//vist[arr_R] = true;
	int wal, awal, bwal, ans = 0;
	int sum = 0;
	while (true)
	{
		wal = 1;
		for (int i = 1; i <= len; i++)
		{
			arr_C[wal++] = arr_B[i];
			arr_C[wal++] = arr_A[i];
		}
		ans++;
		//printf("%s", arr_C+1);
		if (cheack(arr_C+1, arr_R+1))
		{
			cout << cas++ << ' ' << ans << endl;
			flag = 1;
			return;
		}
		else
		{
			if (vist[arr_C + 1]) return;
			else vist[arr_C + 1] = true;
			for (int i = 1; i <= len; i++)
			{
				arr_AC[i] = arr_C[i];
				arr_BC[i] = arr_C[i + len];
			}
			for (int i = 1; i <= len; i++)
			{
				arr_A[i] = arr_AC[i];
				arr_B[i] = arr_BC[i];
			}
		}
	}
}

void init()
{
	memset(arr_A, 0, sizeof arr_A);
	memset(arr_B, 0, sizeof arr_B);
	memset(arr_C, 0, sizeof arr_C);
	memset(arr_R, 0, sizeof arr_R);
	memset(arr_AC, 0, sizeof arr_AC);
	memset(arr_BC, 0, sizeof arr_BC);
	flag = 0;
	scanf("%d", &len);
	scanf("%s", arr_A + 1);
	scanf("%s", arr_B + 1);
	scanf("%s", arr_R + 1);
}

int main(void)
{
	int t;
	cin >> t;
	cas = 1;
	while (t--)
	{
		init();
		work();
		if (!flag) cout << cas++ << ' ' << -1 << endl;
	}
}


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