• Breadth-First Search


    1. Maze

      This is my solution to a problem in  SJTU ACM Online Judge:

     1 import java.util.*;
     2 
     3 public class Main {
     4     public static final int INF = 65535;
     5     public static int wid, len;
     6     public static char [] map;
     7     
     8     public static int bfs(int x1,int y1,int x2,int y2)  {
     9         Queue<Integer> q = new LinkedList<Integer>();
    10         boolean [] vis = new boolean[wid*len];
    11         int [] dist = new int[wid*len];
    12         for (int i=0;i<wid;i++) {
    13             for (int j=0;j<len;j++) {
    14                 dist[i*len+j] = INF;
    15             }
    16         }
    17         q.add(new Integer(x1*len+y1));
    18         vis[x1*len+y1] = true;
    19         dist[x1*len+y1] = 0;
    20         while (dist[x2*len+y2]==INF) {
    21             if (q.isEmpty()) {
    22                 // no such path exists
    23                 return -1;
    24             }
    25             int pos = q.poll().intValue();
    26             if (map[pos]=='.') {
    27                 if (pos%len>0 && !vis[pos-1] && map[pos-1]!='|') { //West
    28                     q.add(new Integer(pos-1));
    29                     vis[pos-1] = true;
    30                     dist[pos-1] = dist[pos]+1;
    31                 }
    32                 if (pos/len>0 && !vis[pos-len] && map[pos-len]!='-') { //North
    33                     q.add(new Integer(pos-len));
    34                     vis[pos-len] = true;
    35                     dist[pos-len] = dist[pos]+1;
    36                 }
    37                 if (pos%len<len-1 && !vis[pos+1] && map[pos+1]!='|') { //East
    38                     q.add(new Integer(pos+1));
    39                     vis[pos+1] = true;
    40                     dist[pos+1] = dist[pos]+1;
    41                 }
    42                 if (pos/len<wid-1 && !vis[pos+len] && map[pos+len]!='-') { //South
    43                     q.add(new Integer(pos+len));
    44                     vis[pos+len] = true;
    45                     dist[pos+len] = dist[pos]+1;
    46                 }
    47             }  else if (map[pos]=='|') {
    48                 if (pos/len>0 && !vis[pos-len] && map[pos-len]!='-') { //North
    49                     q.add(new Integer(pos-len));
    50                     vis[pos-len] = true;
    51                     dist[pos-len] = dist[pos]+1;
    52                 }
    53                 if (pos/len<wid-1 && !vis[pos+len] && map[pos+len]!='-') { //South
    54                     q.add(new Integer(pos+len));
    55                     vis[pos+len] = true;
    56                     dist[pos+len] = dist[pos]+1;
    57                 }
    58             } else if (map[pos]=='-') {
    59                 if (pos%len>0 && !vis[pos-1] && map[pos-1]!='|') { //West
    60                     q.add(new Integer(pos-1));
    61                     vis[pos-1] = true;
    62                     dist[pos-1] = dist[pos]+1;
    63                 }
    64                 if (pos%len<len-1 && !vis[pos+1] && map[pos+1]!='|') { //East
    65                     q.add(new Integer(pos+1));
    66                     vis[pos+1] = true;
    67                     dist[pos+1] = dist[pos]+1;
    68                 }
    69            } 
    70         }
    71         return dist[x2*len+y2];
    72     }
    73     public static void main(String[] args)  {
    74         Scanner in = new Scanner(System.in);
    75         wid = in.nextInt();
    76         len = in.nextInt();
    77         map = new char[wid*len];
    78         int x1=in.nextInt()-1;
    79         int y1=in.nextInt()-1;
    80         int x2=in.nextInt()-1;
    81         int y2=in.nextInt()-1;
    82         for (int i=0;i<wid;i++) {
    83             String line = in.next();
    84             for (int j=0;j<len;j++) {
    85                 map[i*len+j]=line.charAt(j);
    86             }
    87         }
    88         in.close();
    89         System.out.println(bfs(x1,y1,x2,y2));
    90     }
    91 }


    2. The Clocks

      This is my solution to the USACO training problem "clocks":

      1 import java.io.*;
      2 import java.util.*;
      3 
      4 public class clocks {
      5     public static BufferedReader input;
      6     public static PrintWriter output;
      7     
      8     private static int turn(int state,int pos) {
      9         int tmp = state;
     10         pos = 8 - pos;
     11         tmp &= (3<<pos<<pos);
     12         tmp >>= (pos<<1);
     13         tmp = ((tmp+1)&3);
     14         tmp <<= (pos<<1);
     15         state &= (~(3<<pos<<pos));
     16         state |= tmp;
     17         return state;
     18     }
     19     private static int operate(int state,int mode) {
     20         switch (mode) {
     21         case 1:
     22             state = turn(state,0);
     23             state = turn(state,1);
     24             state = turn(state,3);
     25             state = turn(state,4);
     26             break;
     27         case 2:
     28             state = turn(state,0);
     29             state = turn(state,1);
     30             state = turn(state,2);
     31             break;
     32         case 3:
     33             state = turn(state,1);
     34             state = turn(state,2);
     35             state = turn(state,4);
     36             state = turn(state,5);
     37             break;
     38         case 4:
     39             state = turn(state,0);
     40             state = turn(state,3);
     41             state = turn(state,6);
     42             break;
     43         case 5:
     44             state = turn(state,1);
     45             state = turn(state,3);
     46             state = turn(state,4);
     47             state = turn(state,5);
     48             state = turn(state,7);
     49             break;
     50         case 6:
     51             state = turn(state,2);
     52             state = turn(state,5);
     53             state = turn(state,8);
     54             break;
     55         case 7:
     56             state = turn(state,3);
     57             state = turn(state,4);
     58             state = turn(state,6);
     59             state = turn(state,7);;
     60             break;
     61         case 8:
     62             state = turn(state,6);
     63             state = turn(state,7);
     64             state = turn(state,8);
     65             break;
     66         case 9:
     67             state = turn(state,4);
     68             state = turn(state,5);
     69             state = turn(state,7);
     70             state = turn(state,8);
     71         }
     72         return state;
     73     }
     74     private static boolean threeTimes(int path,int mode)   {
     75         path &= (3<<mode<<mode);
     76         path >>= (mode<<1);
     77         return (path==3);
     78     }
     79     private static void printPath(int path) {
     80         // Print the move sequence except the last one
     81         for (int i=1;i<=9;i++) {
     82             int cnt = (3<<i<<i);
     83             cnt &= path;
     84             cnt >>= (i<<1);
     85             for (int j=0;j<cnt;j++) {
     86                 output.print(i+" ");
     87             }
     88         }
     89     }
     90     private static void bfs(int clk) {
     91         // Breadth-First Search in a State Space:
     92         //        state and path are both coded into integers
     93         Queue<Integer> pathQ = new LinkedList<Integer>();
     94         Queue<Integer> stateQ = new LinkedList<Integer>();
     95         boolean [] vis = new boolean[1<<18];
     96         pathQ.add(new Integer(0));
     97         stateQ.add(new Integer(clk));
     98         vis[clk] = true;
     99         while (!pathQ.isEmpty()) {
    100             int path = pathQ.poll().intValue();
    101             int state = stateQ.poll().intValue();
    102             for (int i=1;i<=9;i++) {
    103                 if (threeTimes(path,i)) {
    104                     // each move can be operated no more than 3 times
    105                     continue;
    106                 }
    107                 int newState = operate(state,i);
    108                 if (newState==0) {
    109                     // print the path when reaching the destination
    110                     printPath(path);
    111                     output.println(i);
    112                     return;
    113                 } else if (!vis[newState]) {
    114                     vis[newState] = true;
    115                     stateQ.add(new Integer(newState));
    116                     pathQ.add(new Integer(path+(1<<i<<i)));
    117                 }
    118             }
    119         }
    120     }
    121     public static void main(String [] args) throws IOException {
    122         input = new BufferedReader(new FileReader("clocks.in"));
    123         int clk = 0;
    124         for (int i=0;i<3;i++) {
    125             StringTokenizer str = new StringTokenizer(input.readLine());
    126             for (int j=0;j<3;j++) {
    127                 clk = (clk<<2)+((12-Integer.parseInt(str.nextToken()))&3);
    128             }
    129         }
    130         input.close();
    131         output = new PrintWriter(new FileWriter("clocks.out"));
    132         if (clk==0) {
    133             output.println();
    134         } else {
    135             bfs(clk);
    136         }
    137         output.close();
    138     }
    139 }
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  • 原文地址:https://www.cnblogs.com/DevinZ/p/4411438.html
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