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  • Safe Path(bfs+一维数组存图)

    题目链接:http://codeforces.com/gym/101755/problem/H

    题目分析:先bfs一遍怪兽可以到达的点,再bfs人可以走的地方看可不可以到达终点;

         很显然读到  2<=n*m<=200000 时,就不可以用二维数组存图了,不过据说因为数据比较水,可以用vector存图;

    vector存图AC代码:

      1 /* */
      2 # include <iostream>
      3 # include <stdio.h>
      4 # include <string.h>
      5 # include <string>
      6 # include <cmath>
      7 # include <climits>
      8 # include <cctype>
      9 # include <ctime>
     10 # include <algorithm>
     11 # include <functional>
     12 # include <bitset>
     13 # include <set>
     14 # include <map>
     15 # include <deque>
     16 # include <queue>
     17 # include <stack>
     18 # include <vector>
     19 using namespace std;
     20 
     21 const int maxn=2e5+7;
     22 vector<char>mp[maxn];
     23 vector<int>dis[maxn];
     24 vector<int>vis[maxn];
     25 int n, m;
     26 
     27 struct node
     28 {
     29     int x, y;
     30     int step;
     31 }cur, after;
     32 
     33 int dir[4][2]={{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
     34 int sx, sy, fx, fy;
     35 
     36 int check(int x, int y)
     37 {
     38     if( x>=0 && x<n && y>=0 && y<m )
     39         return 1;
     40     return 0;
     41 }
     42 
     43 void bfs1(int d)
     44 {
     45     queue<node>q;
     46     int i, j;
     47     for( i=0; i<n; i++ )
     48     {
     49         for( j=0; j<m; j++ )
     50         {
     51             if( mp[i][j]=='M' )
     52             {
     53                 cur.x = i;
     54                 cur.y = j;
     55                 cur.step = 0;
     56                 q.push(cur);
     57                 dis[i][j] = 1;
     58             }
     59         }
     60     }
     61 
     62     while( !q.empty() )
     63     {
     64         cur = q.front();
     65         q.pop();
     66         for(int i=0; i<4; i++ )
     67         {
     68             after.x = cur.x+dir[i][0];
     69             after.y = cur.y+dir[i][1];
     70             after.step = cur.step + 1;
     71 
     72             if( check(after.x, after.y) )
     73             {
     74                 if( !dis[after.x][after.y] && after.step<=d )
     75                 {
     76                     dis[after.x][after.y] = 1;
     77                     q.push(after);
     78                 }
     79             }
     80         }
     81     }
     82 }
     83 
     84 void bfs2(int x, int y)
     85 {
     86     cur.x = x;
     87     cur.y = y;
     88     cur.step = 0;
     89     queue<node>q;
     90     q.push(cur);
     91     vis[x][y] = 1;
     92     if( dis[x][y] )
     93     {
     94         printf("-1
    ");
     95         return ;
     96     }
     97     while( !q.empty() )
     98     {
     99         cur = q.front();
    100         q.pop();
    101         if( mp[cur.x][cur.y]=='F' )
    102         {
    103             printf("%d
    ", cur.step);
    104             return ;
    105         }
    106         for(int i=0; i<4; i++ )
    107         {
    108             after.x = cur.x + dir[i][0];
    109             after.y = cur.y + dir[i][1];
    110             after.step = cur.step + 1;
    111             if( check(after.x, after.y) )
    112             {
    113                 if( !dis[after.x][after.y] && !vis[after.x][after.y])
    114                 {
    115                     vis[after.x][after.y] = 1;
    116                     q.push(after);
    117                 }
    118             }
    119         }
    120     }
    121     printf("-1
    ");
    122     return ;
    123 }
    124 int main()
    125 {
    126     int d, i, j;
    127     cin>>n>>m>>d;
    128     char s;
    129 
    130     for(i=0; i<n; i++)
    131     {
    132         mp[i].clear();
    133         vis[i].clear();
    134         dis[i].clear();
    135     }
    136 
    137     for(i=0; i<n; i++ )
    138     {
    139         for(j=0; j<m; j++ )
    140         {
    141             cin>>s;
    142             mp[i].push_back(s);
    143             dis[i].push_back(0);
    144             vis[i].push_back(0);
    145         }
    146     }
    147     bfs1(d);
    148 
    149     for(i=0; i<n; i++ )
    150     {
    151         for( j=0; j<m; j++ )
    152         {
    153             if( mp[i][j]=='F' )
    154             {
    155                 fx = i;
    156                 fy = j;
    157             }
    158             if( mp[i][j]=='S' )
    159             {
    160                 sx = i;
    161                 sy = j;
    162             }
    163         }
    164     }
    165 
    166     if( dis[fx][fy] )
    167     {
    168         printf("-1
    ");
    169     }
    170     else
    171     {
    172         bfs2(sx, sy);
    173     }
    174     return 0;
    175 }
    View Code

    这道题也让我知道了可以用一位数组存图:

    详细的见代码注释:

    AC代码:

      1 /* */
      2 # include <iostream>
      3 # include <stdio.h>
      4 # include <string.h>
      5 # include <algorithm>
      6 # include <cctype>
      7 # include <ctime>
      8 # include <functional>
      9 # include <cmath>
     10 # include <bitset>
     11 # include <deque>
     12 # include <queue>
     13 # include <stack>
     14 # include <vector>
     15 # include <set>
     16 # include <map>
     17 # include <climits>
     18 using namespace std;
     19 
     20 typedef long long LL;
     21 const int maxn=1e6+100;
     22 int n, m, t;
     23 int a[maxn], d;
     24 char str[maxn];
     25 bool vis[maxn];///标记是否已经访问过
     26 int dis[maxn];///记录步数
     27 int dd[maxn];///dd[]为0,说明怪兽到不了,dd不为0说明怪兽可以到此处
     28 int cnt, fx, fy, sx, sy;
     29 int dir[4][2]={{0, 1}, {0, -1}, {-1, 0}, {1, 0}};
     30 struct node
     31 {
     32     int x;
     33     int y;
     34 }g[maxn], cur, after;
     35 
     36 bool check(int a, int b)
     37 {
     38     if( a>=1 && b>=1 && a<=n && b<=m && !dd[a*m+b] )
     39         return true;
     40     return false;
     41 }
     42 
     43 void bfs()
     44 {
     45     queue<node>q;
     46     cur.x = sx;
     47     cur.y = sy;
     48     vis[cur.x*m+cur.y] = 1;
     49     q.push(cur);
     50 
     51     while( !q.empty())
     52     {
     53         cur = q.front();
     54         q.pop();
     55         for(int i=0; i<4; i++ )
     56         {
     57             int xx = cur.x + dir[i][0];
     58             int yy = cur.y + dir[i][1];
     59 
     60             if( check(xx, yy) && !vis[xx*m+yy])
     61             {
     62                 dis[xx*m+yy] = dis[cur.x*m+cur.y]+1;
     63                 vis[xx*m+yy] = 1;
     64                 after.x = xx;
     65                 after.y = yy;
     66                 q.push(after);
     67             }
     68         }
     69     }
     70     return ;
     71 }
     72 
     73 void bfss()///广搜怪兽可以到达的地方
     74 {
     75     queue<node>q;
     76     for(int i=0; i<cnt; i++ )
     77         q.push(g[i]);
     78 
     79     while( !q.empty() )
     80     {
     81         cur=q.front();
     82         q.pop();
     83 
     84         if( dd[cur.x*m+cur.y]==0 )
     85             continue;
     86 
     87         for(int i=0; i<4; i++ )
     88         {
     89             int xx = cur.x + dir[i][0];
     90             int yy = cur.y + dir[i][1];
     91             if( check(xx, yy) )
     92             {
     93                 after.x = xx;
     94                 after.y = yy;
     95                 dd[xx*m+yy] = dd[cur.x*m+cur.y]-1;
     96                 q.push(after);
     97             }
     98         }
     99     }
    100     return ;
    101 }
    102 
    103 int main()
    104 {
    105     while( ~ scanf("%d %d %d", &n, &m, &d) )
    106     {
    107         getchar();
    108         for(int i=1; i<=n; i++ )
    109             scanf("%s", &str[i*m+1]);///一维数组存图
    110 
    111         memset(vis, false, sizeof(vis));
    112         memset(dd, 0, sizeof(dd));
    113         memset(dis, 0, sizeof(dis));
    114 
    115         for(int i=1; i<=n; i++ )
    116         {
    117             for(int j=1; j<=m; j++ )
    118             {
    119                 if( str[i*m+j]=='S' )
    120                 {
    121                     sx = i;
    122                     sy = j;
    123                 }
    124 
    125                 else if( str[i*m+j]=='F' )
    126                 {
    127                     fx = i;
    128                     fy = j;
    129                 }
    130 
    131                 else if( str[i*m+j]=='M' )
    132                 {
    133                     dd[i*m+j] = d+1;
    134                     cur.x = i;
    135                     cur.y = j;
    136                     g[cnt++] = cur;
    137                 }
    138             }
    139         }
    140 
    141         bfss();
    142         if( dd[sx*m+sy] || dd[fx*m+fy] )
    143         {
    144             printf("-1
    ");
    145         }
    146         else
    147         {
    148             bfs();
    149             if( !vis[fx*m+fy] )
    150                 printf("-1
    ");
    151             else
    152                 printf("%d
    ", dis[fx*m+fy]);
    153         }
    154     }
    155     return 0;
    156 }
    View Code
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  • 原文地址:https://www.cnblogs.com/wsy107316/p/11327168.html
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