迷宫问题——BFS

改进版

BFS

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#include <bits/stdc++.h>
using namespace std;
#define coordi(x,y) ( m*(x-1)+y )
const int maxn = 30;
const int dx[] = {0,0,1,-1};
const int dy[] = {1,-1,0,0};

int mp[maxn+10][maxn+10];
int nxtx[maxn+10][maxn+10];
int nxty[maxn+10][maxn+10];
bool vis[maxn+10][maxn+10];
int fa[(maxn+10)*(maxn+10)];
int n , m;
int stx , sty , edx , edy;

inline int check( int x , int y )
{
    return 1<=x && x<=n && 1<=y && y<=m;
}
inline void print_map()
{
    puts("
==============================================");
    for( int i = 1; i <= n; i++ )
    {
        for( int j = 1; j <= m; j++ )
            printf("%c",mp[i][j]);
        putchar('
');
    }
    puts("==============================================");
}
// 并查集
int getfa( int x )
{
    return x==fa[x]?x:fa[x] = getfa(fa[x]);
}
void unio( int a , int b )
{
    int fx = getfa(a) , fy = getfa(b);
    if ( fx != fy ) fa[fx] = fy;
}
// 并查集

void connect()
{
    int t = n*m/3*2;
    for( int i = 1; i <= n*m; i++ ) fa[i] = i;
    int fs = getfa(coordi(stx,sty)) , ft = getfa(coordi(edx,edy));
    while( fs != ft || t > 0 )
    {
        t--;
        int px = rand()%n+1 , py = rand()%m+1;
        if ( mp[px][py] == 'X' )
        {
            mp[px][py] = '#';
            for( int k = 0 ; k< 4; k++ )
            {
                int xx = px + dx[k] , yy = py + dy[k];
                if ( check(xx,yy) && mp[xx][yy] != 'X' ) unio( coordi(px,py) , coordi(xx,yy) );
            }
        }
        fs = getfa(coordi(stx,sty)) , ft = getfa(coordi(edx,edy));
    }
}

void init()
{
    srand(time(0));
    n = rand()%maxn+10;
    m = rand()%maxn+10;
    cout<<"map size : "<<n<<" * "<<m<<endl;
    for( int i = 1; i <= n; i++ )
        for( int j = 1; j <= m; j++ ) mp[i][j] = 'X';
    stx = rand()%n+1 , sty = rand()%m+1;
    edx = rand()%n+1 , edy = rand()%m+1;
    while( abs(edx-stx) + abs(edy-sty) <= 1 ) edx = rand()%n+1 , edy = rand()%m+1;
    mp[stx][sty] = 'S' , mp[edx][edy] = 'T';
    cout<<"start:("<<stx<<","<<sty<<")"<<endl;
    cout<<"end:("<<edx<<","<<edy<<")"<<endl;
    connect();
    print_map();
}

void print_path() // path = '*'  st = S , ed = T   ,  road = ## wall =  X
{
    int x = edx , y = edy;
    while( !( x == stx && y == sty ) )
    {
        mp[x][y] = '*';
        int tx = nxtx[x][y];
        y = nxty[x][y];
        x = tx;
    }
    mp[edx][edy] = 'T';
    print_map();
}

void bfs()
{
    queue< pair<int,int> > q;
    q.push( make_pair(stx,sty) );
    memset(vis,0,sizeof(vis));
    vis[stx][sty] = true;
    while( !q.empty() )
    {
        pair<int,int> temp = q.front();
        q.pop();
        if ( temp.first == edx && temp.second == edy )
        {
            print_path();
            return;
        }
        for( int k = 0; k < 4; k++ )
        {
            int xx = temp.first + dx[k] , yy = temp.second + dy[k];
            if ( !check(xx,yy) || vis[xx][yy] || mp[xx][yy] == 'X' ) continue;
            vis[xx][yy] = 1 , nxtx[xx][yy] = temp.first , nxty[xx][yy] = temp.second;
            q.push( make_pair(xx,yy) );
        }
    }
}

int main()
{
    init();
    bfs();
    return 0;
}

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