Knight Moves

Problem Description

A friend of you is doing research on the Traveling Knight Problem (TKP) where you are to find the shortest closed tour of knight moves that visits each square of a given set of n squares on a chessboard exactly once. He thinks that the most difficult part of the problem is determining the smallest number of knight moves between two given squares and that, once you have accomplished this, finding the tour would be easy.<br>Of course you know that it is vice versa. So you offer him to write a program that solves the &quot;difficult&quot; part. <br><br>Your job is to write a program that takes two squares a and b as input and then determines the number of knight moves on a shortest route from a to b. <br>

 3

Input

The input file will contain one or more test cases. Each test case consists of one line containing two squares separated by one space. A square is a string consisting of a letter (a-h) representing the column and a digit (1-8) representing the row on the chessboard. <br>

 

Output

For each test case, print one line saying "To get from xx to yy takes n knight moves.". <br>

 

Sample Input

   
   
   
   

    
    
    
    e2 e4<br>a1 b2<br>b2 c3<br>a1 h8<br>a1 h7<br>h8 a1<br>b1 c3<br>f6 f6<br>
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    To get from e2 to e4 takes 2 knight moves.<br>To get from a1 to b2 takes 4 knight moves.<br>To get from b2 to c3 takes 2 knight moves.<br>To get from a1 to h8 takes 6 knight moves.<br>To get from a1 to h7 takes 5 knight moves.<br>To get from h8 to a1 takes 6 knight moves.<br>To get from b1 to c3 takes 1 knight moves.<br>To get from f6 to f6 takes 0 knight moves.<br>
   
   
   
   

 

Source

University of Ulm Local Contest 1996

题目：求一个棋子移动到某个位置的最小步数。

思路：这是一个典型的移动问题，出于好理解第一反映是dfs，但是求最小步数还是bfs

代码：

#include <stdio.h>
#include <string.h>
#include <queue>
#include <iostream>
using namespace std;
int step;
int to[8][2] = { -2,1,-1,2,1,2,2,1,2,-1,1,-2,-1,-2,-2,-1 };
int map[10][10], ex, ey;
char s1[5], s2[5];

struct node
{
    int x, y, step;
};

int check(int x, int y)
{
   if (x<0 || y<0 || x >= 8 || y >= 8 || map[x][y])
      return 1;
   return 0;
}

int bfs()
{
   int i;
   queue<node> Q;
   node p, next, q;
    p.x = s1[0] - 'a';
   p.y = s1[1] - '1';
   p.step = 0;
    ex = s2[0] - 'a';
   ey = s2[1] - '1';
   memset(map, 0, sizeof(map));
   map[p.x][p.y] = 1;
   Q.push(p);
    while (!Q.empty())
    {
      q = Q.front();
      Q.pop();
      if (q.x == ex && q.y == ey)
          return q.step;
      for (i = 0; i<8; i++)
      {
           next.x = q.x + to[i][0];
          next.y = q.y + to[i][1];
          if (next.x == ex && next.y == ey)
              return q.step + 1;
          if (check(next.x, next.y))
              continue;
         next.step = q.step + 1;
       map[next.x][next.y] = 1;
           Q.push(next);
       }
   }
   return 0;
}

int main()
{
   while (cin >> s1 >> s2)
   {
       printf("To get from %s to %s takes %d knight moves.\n", s1, s2, bfs());
 }
   return 0;
}