八数码问题(8-Puzzle Problem) P1379 八数码难题 - 洛谷 题目概述:在 \(3 \times 3\) 的棋盘上摆放着 \(8\) 个棋子,棋子的编号分别为 \(1\) 到 \(8\),空格则用 \(0\) 表示.与空格直接相连的棋子可以移至空格中,这样原来棋子的位置就成为空格.现给出一种初始布局,求到达目标布局的最少步数.为简单起见,目标布局总是如下: 123 804 765 本题是一道经典的搜索题,下面将介绍几种常见的搜索算法.以下所有代码均需要 C++11 标准. 朴…

八数码问题 利用启发式搜索,找出以下问题的最优解. #include <iostream> #include <vector> #include <algorithm> using namespace std; const int BLANK = 0; const int R = 3; const int C = 3; pair<int, int> find_blank(const vector<vector<int>> &m…

题意:给定M*N的数码图,问能否移动到最终状态 分析 有解的判定条件可见 八数码有解条件 值得一提的是,这道题求逆序对卡树状数组,只能用归并排序. #include<cstdio> #include<algorithm> #include<cstring> using namespace std; ; int n,m,pos,x,ans,zero; int seq[maxn],tmp[maxn]; void msort(int l,int r) //对seq进行排序 {…

理论基础 轮换与对换 概念:把 $S$ 中的元素 $i_1$ 变成 $i_2$,$i_2$ 变成 $i_3$ ... $i_k$ 又变成 $i_1$,并使 $S$ 中的其余元素保持不变的置换称为循环,又称轮换,记为 $(i_1, i_2,...,i_k)$,$k$ 称为循环长度,特别地,循环长度为2的循环称为对换. 定理: (1)任一置换可表示成若干个无公共元素的循环之积 (2)任一置换可表示成若干个对换之积,且对换个数的奇偶性不变. 八数码中的置换 若一个置换可以分解成奇数个对换之积称为奇置换…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1043 The 15-puzzle has been around for over 100 years; even if you don't know it by that name, you've seen it. It is constructed with 15 sliding tiles, each with a number from 1 to 15 on it, and all pack…

The 15-puzzle has been around for over 100 years; even if you don't know it by that name, you've seen it. It is constructed with 15 sliding tiles, each with a number from 1 to 15 on it, and all packed into a 4 by 4 frame with one tile missing. Let's…

题意  输出八数码问题从给定状态到12345678x的路径 用康托展开将排列相应为整数  即这个排列在全部排列中的字典序  然后就是基础的BFS了 #include <bits/stdc++.h> using namespace std; const int N = 5e5, M = 9; int x[4] = { -1, 1, 0, 0}; int y[4] = {0, 0, -1, 1}; int fac[] = {1, 1, 2, 6, 24, 120, 720, 5040, 40320…

HDU 1043 Eight(八数码) 00 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)   Problem Description - 题目描述 The 15-puzzle has been around for over 100 years; even if you don't know it by that name, you've seen it. It is constructed with 15 slid…

Eight Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 20993    Accepted Submission(s): 5634Special Judge Problem Description The 15-puzzle has been around for over 100 years; even if you don't…

HDU 3567 Eight II(八数码 II) /65536 K (Java/Others)   Problem Description - 题目描述 Eight-puzzle, which is also called "Nine grids", comes from an old game. In this game, you are given a 3 by 3 board and 8 tiles. The tiles are numbered from 1 to 8 and…