Knight Moves

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 11832 Accepted Submission(s): 6969

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.

Of course you know that it is vice versa. So you offer him to write a program that solves the "difficult" part.

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.

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.

Output

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

Sample Input

e2 e4

a1 b2

b2 c3

a1 h8

a1 h7

h8 a1

b1 c3

f6 f6

Sample Output

To get from e2 to e4 takes 2 knight moves.

To get from a1 to b2 takes 4 knight moves.

To get from b2 to c3 takes 2 knight moves.

To get from a1 to h8 takes 6 knight moves.

To get from a1 to h7 takes 5 knight moves.

To get from h8 to a1 takes 6 knight moves.

To get from b1 to c3 takes 1 knight moves.

To get from f6 to f6 takes 0 knight moves.

Source

University of Ulm Local Contest 1996

Problem : 1372 ( Knight Moves ) Judge Status : Accepted

RunId : 21142000 Language : G++ Author : hnustwanghe

Code Render Status : Rendered By HDOJ G++ Code Render Version 0.01 Beta

#include<iostream>
#include<cstdio>
#include<queue>
#include<cstring>

using namespace std;

const int N = 8+5;
int visit[N][N];
typedef struct node{
int x,y,step;
}Node;
const int dir[8][2]={{2,1},{-2,1},{-2,-1},{2,-1},{1,2},{1,-2},{-1,-2},{-1,2}};
int print(){
for(int i=1;i<=8;i++)
for(int j=1;j<=8;j++){
printf("%d",visit[i][j]);
if(j==7)
printf("\n");
}
}
int DBFS(int x,int y,int goalx,int goaly){
queue<Node> Q1,Q2;
Node t,s;
int step1=0,step2=0,flag =1,cnt,newx,newy,ans;
memset(visit,0,sizeof(visit));
t.x = x,t.y = y,t.step = 0;
s.x = goalx,s.y = goaly,s.step = 0;
visit[t.x][t.y] = 1;
visit[s.x][s.y] = 2;
Q1.push(t);
Q2.push(s);
while(flag){
cnt = Q1.size();
while(cnt--){
t = Q1.front();
if(t.x == goalx && t.y == goaly) return t.step;
for(int d=0;d<8;d++){
newx = t.x + dir[d][0];
newy = t.y + dir[d][1];
step1 = t.step + 1;
if(newx>0 && newx <= 8 && newy>0 && newy<=8){
if(visit[newx][newy]==2){
ans = step1 + step2;
return ans;
}
if(!visit[newx][newy]){
s.x = newx,s.y= newy,s.step = step1;
Q1.push(s);
visit[newx][newy] = 1;
}
}

}
Q1.pop();
}
cnt = Q2.size();
while(cnt--){
t = Q2.front();
if(t.x==x && t.y==y) return t.step;
for(int d=0;d<8;d++){
newx = t.x + dir[d][0];
newy = t.y + dir[d][1];
step2 = t.step + 1;
if(newx>0 && newx<=8 && newy>0 && newy <=8){
if(visit[newx][newy]==1){
ans = step1 + step2;
return ans;
}
if(!visit[newx][newy]){
s.x = newx,s.y = newy,s.step = step2;
Q2.push(s);
visit[newx][newy] = 2;
}
}
}
Q2.pop();
}
}

return -1;
}
void Input_and_solve(){
char ch[10];
int x,y,goalx,goaly;
while(gets(ch)!=NULL){
x = ch[0]-'a'+1;
y = ch[1]-'0';
goalx = ch[3]-'a'+1;
goaly = ch[4]-'0';
printf("To get from %c%c to %c%c takes %d knight moves.\n",ch[0],ch[1],ch[3],ch[4],DBFS(x,y,goalx,goaly));
//print();
}
}
int main(){
Input_and_solve();
}

#include<iostream>

#include<cstdio>

#include<queue>

#include<cstring>



using namespace std;

const int N = 8+5;

int visit[N][N];

typedef struct node{

    int x,y,step;

}Node;

const int dir[8][2]={{2,1},{-2,1},{-2,-1},{2,-1},{1,2},{1,-2},{-1,-2},{-1,2}};

int print(){

    for(int i=1;i<=8;i++)

    for(int j=1;j<=8;j++){

        printf("%d",visit[i][j]);

        if(j==7)

            printf("\n");

    }

}

int DBFS(int x,int y,int goalx,int goaly){

    queue<Node> Q1,Q2;

    Node t,s;

    int step1=0,step2=0,flag =1,cnt,newx,newy,ans;

    memset(visit,0,sizeof(visit));

    t.x = x,t.y = y,t.step = 0;

    s.x = goalx,s.y = goaly,s.step = 0;

    visit[t.x][t.y] = 1;

    visit[s.x][s.y] = 2;

    Q1.push(t);

    Q2.push(s);

    while(flag){

        cnt = Q1.size();

        while(cnt--){

                t = Q1.front();

                if(t.x == goalx && t.y == goaly) return t.step;

            for(int d=0;d<8;d++){

                newx = t.x + dir[d][0];

                newy = t.y + dir[d][1];

                step1 = t.step + 1;

                if(newx>0 && newx <= 8 && newy>0 && newy<=8){

                    if(visit[newx][newy]==2){

                        ans = step1 + step2;

                        return ans;

                    }

                    if(!visit[newx][newy]){

                        s.x = newx,s.y= newy,s.step = step1;

                        Q1.push(s);

                        visit[newx][newy] = 1;

                    }

                }

            }

            Q1.pop();

        }

        cnt = Q2.size();

        while(cnt--){

            t = Q2.front();

            if(t.x==x && t.y==y) return t.step;

            for(int d=0;d<8;d++){

                newx = t.x + dir[d][0];

                newy = t.y + dir[d][1];

                step2 = t.step + 1;

                if(newx>0 && newx<=8 && newy>0 && newy <=8){

                    if(visit[newx][newy]==1){

                        ans = step1 + step2;

                        return ans;

                    }

                    if(!visit[newx][newy]){

                        s.x = newx,s.y = newy,s.step = step2;

                        Q2.push(s);

                        visit[newx][newy] = 2;

                    }

                }

            }

            Q2.pop();

        }

    }

    return -1;

}

void Input_and_solve(){

    char ch[10];

    int x,y,goalx,goaly;

    while(gets(ch)!=NULL){

        x = ch[0]-'a'+1;

        y = ch[1]-'0';

        goalx = ch[3]-'a'+1;

        goaly = ch[4]-'0';

        printf("To get from %c%c to %c%c takes %d knight moves.\n",ch[0],ch[1],ch[3],ch[4],DBFS(x,y,goalx,goaly));

        //print();

    }

}

int main(){

    Input_and_solve();

Problem : 1372 ( Knight Moves )     Judge Status : Accepted

RunId : 21135178    Language : G++    Author : hnustwanghe

Code Render Status : Rendered By HDOJ G++ Code Render Version 0.01 Beta

#include<iostream>

#include<cstdio>

#include<queue>

#include<cstring>

using namespace std;

typedef struct node{

    int x,y,step;

}Node;

bool visit[10][10];

const int dir[8][2]={{-2,1},{-2,-1},{2,-1},{2,1},{1,2},{1,-2},{-1,2},{-1,-2}};

int BFS(int x,int y,int goalx,int goaly){

    queue<Node>Q;

    memset(visit,0,sizeof(visit));

    int newx,newy;

    Node t,s;

    t.x = x,t.y = y,t.step = 0;

    visit[t.x][t.y] = true;

    Q.push(t);

    while(!Q.empty()){

        t = Q.front();

        if(t.x==goalx && t.y==goaly) return t.step;

        for(int d=0;d<8;d++){

            newx = t.x+dir[d][0];

            newy = t.y+dir[d][1];

            if(newx>=1 && newx<=8 && newy>=1 && newy<=8 && !visit[newx][newy]){

                s.x = newx;

                s.y = newy;

                s.step = t.step+1;

                Q.push(s);

            }

        }

        Q.pop();

    }

    return -1;

}

void Input_data_and_solve(){

    char a,c,ch[10];

    int b,d,x,y,goalx,goaly;

    while(gets(ch)!=NULL){

    a = ch[0];

    b = ch[1]-'0';

    c = ch[3];

    d = ch[4]-'0';

    x = a-'a'+1;

    y = b;

    goalx = c-'a'+1;

    goaly = d;

    BFS(x,y,goalx,goaly);

    printf("To get from %c%d to %c%d takes %d knight moves.\n",a,b,c,d,BFS(x,y,goalx,goaly));

    }

}

int main(){

    Input_data_and_solve();

}

#include<iostream>

#include<cstdio>

#include<queue>

#include<cstring>

using namespace std;

typedef struct node{

    int x,y,step;

}Node;

bool visit[10][10];

const int dir[8][2]={{-2,1},{-2,-1},{2,-1},{2,1},{1,2},{1,-2},{-1,2},{-1,-2}};

int BFS(int x,int y,int goalx,int goaly){

    queue<Node>Q;

    memset(visit,0,sizeof(visit));

    int newx,newy;

    Node t,s;

    t.x = x,t.y = y,t.step = 0;

    visit[t.x][t.y] = true;

    Q.push(t);

    while(!Q.empty()){

        t = Q.front();

        if(t.x==goalx && t.y==goaly) return t.step;

        for(int d=0;d<8;d++){

            newx = t.x+dir[d][0];

            newy = t.y+dir[d][1];

            if(newx>=1 && newx<=8 && newy>=1 && newy<=8 && !visit[newx][newy]){

                s.x = newx;

                s.y = newy;

                s.step = t.step+1;

                Q.push(s);

            }

        }

        Q.pop();

    }

    return -1;

}

void Input_data_and_solve(){

    char a,c,ch[10];

    int b,d,x,y,goalx,goaly;

    while(gets(ch)!=NULL){

    a = ch[0];

    b = ch[1]-'0';

    c = ch[3];

    d = ch[4]-'0';

    x = a-'a'+1;

    y = b;

    goalx = c-'a'+1;

    goaly = d;

    BFS(x,y,goalx,goaly);

    printf("To get from %c%d to %c%d takes %d knight moves.\n",a,b,c,d,BFS(x,y,goalx,goaly));

    }

}

int main(){

    Input_data_and_solve();

}

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搜索专题： HDU1372Knight Moves

Knight Moves

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