UVA12113 Overlapping Squares重叠的正方形 暴力破解

题意:给定一个4*4的棋盘,用不超过6个2*2的纸片堆放出给出的图案,问是否可行

分析:题目很简单,不难想到枚举纸片位置,每张纸片有9中放置方法,只有6张纸片,可以断定不会超时。

题目难点在于数据处理,又是数据结构知识,如何表示数据。

开始我想把格子抽象到数组中,相同的格子用相同的数字表示,一共是4*4。然后直接搜索就完事了。

数据转换部分:

	/*cout << "       #"<< endl;
	cout << " _ _ _ #" << endl;
	cout << "| |_ _|#" << endl;
	cout << "|_|   |#" << endl;
	cout << "  |_ _|#" << endl;*/
	string s[5]; int kase = 1;
	while (getline(cin,s[0])&&s[0][0]!='0') {
		memset(vis, 0, sizeof(vis));
		maxlen = 0;
		memset(target, 0, sizeof(target));
		for (int i = 1; i < 5; i++)getline(cin,s[i]);
		int ans = 1; int first1 = 0;
		for (int i = 1;i<5; i++) {
			int cnt = 0;
				int x1;
				int x2; int anr = 0;
				for (int j = 0; j < s[i].length()-1; j++) {
					if (s[i][j] == '|') {
						x1 = j; anr = 1;
						for (int z = j + 1; z < s[i].length()-1; z++) {
							if (s[i][z] == '|') {
								x2 = z;
								j = z - 1;
								int ok = 0;
								for (int w = x1 + 1; w < x2; w += 2) {
									if (i == first1+1) { if (!ok) { cnt = x1 / 2; ok = 1; }target[i - 1][cnt++] = ans; continue; }
									if (s[i - 1][w] == ' ') {
										if (!ok)cnt = x1 / 2;
										ok = 1;
										target[i - 1][cnt] = target[i - 2][cnt];
										cnt++;
									}
								}
								if (!ok) {
									for (int z = x1 + 1; z < x2; z += 2) {
										if (!ok) { cnt = x1 / 2; ok = 1; }
										target[i - 1][cnt++] = ans;
									}
								}
								ans++;
								break;
							}
						}
					}

				}
				if (anr == 0)first1 = i;
			
		}
	}

然而数据实际上可以不用这样处理,直接处理,每次放纸片,就在纸片的周围加上“_”和“|”。再判断是否和目标图案相同。

不用特意去找正方形,而是将它们当成一个整体,一幅图案。

#include <iostream>
#include <algorithm>
#include <queue>
#include <stack>
#include <cstdio>
#include <string>
#include <string.h>
#include <vector>
#include <set>
#include <cmath>
#define LL long long
#define INF 0x3f3f3f3f
#define mod 1000000007
const int maxn = 1000000 + 5;
using namespace std;
string s[10];
int ans[10][10];
int maps[10][10];
void putmap(int op) {
	int row = op / 3;
	int col = 2 * (op % 3);
	maps[row][col + 1] = maps[row][col + 3] = 2;
	maps[row + 2][col + 1] = maps[row + 2][col + 3] = 2;
	maps[row + 1][col] = maps[row + 1][col + 4] = 1;
	maps[row + 2][col] = maps[row + 2][col + 4] = 1;
	maps[row + 2][col + 2] = 0;
	maps[row + 1][col + 1] = maps[row + 1][col + 2] = maps[row + 1][col + 3] = 0;
}
bool judge() {
	for (int i = 0; i < 5; i++) {
		for (int j = 0; j < 9; j++) {
			if (ans[i][j] != maps[i][j])
				return false;
		}
	}
	return true;
}
bool dfs(int step) {
	if (step > 6) return false;
	for (int i = 0; i < 9; i++) {
		int remaps[5][10];
		for (int k = 0; k < 5; k++)
			for (int j = 0; j < 9; j++) {
				remaps[k][j] = maps[k][j];
			}
		putmap(i);
		if (judge()) return true;
		if (dfs(step + 1)) return true;
		for (int k = 0; k < 5; k++)
			for (int j = 0; j < 9; j++) {
				maps[k][j] = remaps[k][j];
			}
	}
	return false;
}
int main() {
	int kases = 1;
	while (getline(cin,s[0])) {
		memset(ans, 0, sizeof(ans));
		memset(maps, 0, sizeof(maps));
		if (s[0][0] == '0') break;
		for (int i = 1; i < 5; i++)
			getline(cin,s[i]);
		for (int i = 0; i < 5; i++) {
			for (int j = 0; j < 9; j++) {
				if (s[i][j] == '|')
					ans[i][j] = 1;
				else if (s[i][j] == '_')
					ans[i][j] = 2;
			}
		}
		printf("Case %d: ", kases++);
		if (dfs(1)) printf("Yes\n");
		else printf("No\n");
	}
}

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转载自blog.csdn.net/qq_36973725/article/details/84727811
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