• 不相交集类应用:迷宫生成


      1 #include <iostream>
      2 #include <vector>
      3 #include <cstdlib>
      4 #include <ctime>
      5 
      6 #define N 100
      7 
      8 using namespace std;
      9 
     10 int wall_row[N+1][N];
     11 int wall_col[N][N+1];
     12 
     13 class DisjSets
     14 {
     15 public:
     16   explicit DisjSets(int numElements);
     17 
     18   int find(int x) const;
     19   void unionSets(int node1, int node2);
     20   bool connected(int node1, int node2) const
     21   {
     22     return find(node1) == find(node2);
     23   }
     24 
     25 private:
     26   vector<int> s;
     27 };
     28 
     29 DisjSets::DisjSets(int numElements):s(numElements)
     30 {
     31   for (int i = 0; i < s.size(); i++)
     32     s[i] = -1;
     33 }
     34 
     35 int DisjSets::find(int x) const
     36 {
     37   if (s[x] < 0)
     38     return x;
     39   else
     40     return find(s[x]);
     41 }
     42 
     43 void DisjSets::unionSets(int node1, int node2)
     44 {
     45   int root1 = find(node1);
     46   int root2= find(node2);
     47 
     48   if (root1==root2)
     49     return;
     50 
     51   if (s[root2] < s[root1])
     52     s[root1] = root2;
     53   else 
     54   {
     55     if(s[root1] == s[root2])
     56       s[root1]--;
     57     s[root2] = root1;
     58   }
     59 }
     60 
     61 void fill(int value)
     62 {
     63   int i,j;
     64   for(i=0; i<N+1; i++)
     65     for(j=0; j<N; j++)
     66       wall_row[i][j] = value;
     67   for(i=0; i<N; i++)
     68     for(j=0; j<N+1; j++)
     69       wall_col[i][j] = value;
     70 }
     71 
     72 void print()
     73 {
     74   int i, j;
     75   for (i=0; i<N+1; i++) 
     76   {
     77     for (j=0; j<N+1; j++) 
     78     {
     79         if (i > 0)
     80         {
     81             if(wall_col[i-1][j])
     82               cout<<"|";
     83             else
     84               cout<<" ";
     85         }
     86         if (j<N)
     87         {
     88             if (i>0)
     89             {
     90               if (wall_row[i][j])
     91                 cout<<"_";
     92               else
     93                 cout<<" ";
     94             }
     95             else
     96             {
     97               if(wall_row[i][j])
     98                 cout<<" _";
     99               else
    100                 cout<<"  ";
    101             }
    102         }
    103     }
    104     cout<<endl;
    105   }
    106 }
    107 
    108 void map_rand(int x, int &type, int &a, int &b)
    109 {
    110   type = 0;
    111   if(x >= N*(N-1)) 
    112       type = 1;
    113   if(type == 0) 
    114   {
    115     a = x / (N - 1);
    116     b = x % (N - 1) + 1;
    117   } 
    118   else 
    119   {
    120     x -= N*(N-1);
    121     a = x / N + 1;
    122     b = x % N;
    123   }
    124 }
    125 
    126 void map_pos(int type, int a, int b, int &node1, int &node2)
    127 {
    128   if(type == 0) 
    129   {
    130     node1 = a * N + b - 1;
    131     node2 = a * N + b;
    132   } else 
    133   {
    134     node1 = (a - 1) * N + b;
    135     node2 = (a - 1) * N + b + N;
    136   }
    137 }
    138 
    139 int randselect(void)
    140 {
    141   int range = N*(N-1)*2;
    142   return rand() % range;
    143 }
    144 
    145 int main()
    146 {
    147   fill(1); //赋值全部为1
    148   srand(time(0));
    149   wall_row[0][0] = 0;
    150   wall_col[0][0] = 0;
    151   wall_row[N][N-1] = 0;
    152   wall_col[N-1][N] = 0;//定义出口入口
    153 
    154   int amount = N * N;
    155 
    156   DisjSets s(amount);
    157 
    158   while(!s.connected(0, amount-1)) //是否两个节点相连(相同)
    159   {
    160     int type, a, b;
    161     do 
    162     {
    163       int wall = randselect();
    164       map_rand(wall, type, a, b);
    165     } 
    166     while ((type == 0 && wall_col[a][b] == 0) ||(type == 1 && wall_row[a][b] == 0))
    167         ;
    168     int node1, node2;
    169     map_pos(type, a, b, node1, node2);
    170     if(!s.connected(node1, node2)) 
    171     {
    172       if(type == 0)
    173         wall_col[a][b] = 0;
    174       else
    175         wall_row[a][b] = 0;
    176       s.unionSets(node1, node2);
    177     }
    178   }
    179   print();
    180   return 0;
    181 }

    生成结果“

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  • 原文地址:https://www.cnblogs.com/xing901022/p/2714038.html
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