题目大意:就是给起点,终点,看最少走几步能从起点到终点。走的方式是采用国际象棋,走日字型。
解题思路:BFS,广度优先遍历。
#include<stdio.h>
#include<string.h>
#include<queue>
using namespace std;
struct bit {
int x, y;
};
const int N = 8;
int dir[8][2] = {{-1, -2}, {-2, -1}, {-2, 1}, {-1, 2}, {1, -2}, {2, -1}, {2, 1}, {1, 2}};
char s1[N], s2[N];
queue<bit> q;
int path[N + 2][N + 2], visit[N + 2][N + 2];
void bfs(bit k) {
visit[k.x][k.y] = 1;
if(k.x == s2[1] - '0' && k.y == s2[0] - 'a' + 1)
return;
q.push(k);
while(!q.empty()) {
k = q.front();
q.pop();
for(int i = 0; i < N; i++) {
int x = k.x + dir[i][0];
int y = k.y + dir[i][1];
if(x > 0 && x <= N && y > 0 && y <= N && visit[x][y] == 0 ) {
visit[x][y] = 1;
path[x][y] = path[k.x][k.y] + 1;
if(x == s2[1] - '0' && y == s2[0] - 'a' + 1)
return;
bit m;
m.x = x;
m.y = y;
q.push(m);
}
}
}
}
int main() {
while(scanf("%s%s", s1, s2) != EOF) {
memset(path, 0, sizeof(path));
memset(visit, 0, sizeof(visit));
bit k;
k.x = s1[1] - '0';
k.y = s1[0] - 'a' + 1;
bfs(k);
if(visit[s2[1]- '0'][s2[0] - 'a' + 1])
printf("To get from %s to %s takes %d knight moves.\n", s1, s2, path[s2[1] - '0'][s2[0] - 'a' + 1]);
while(!q.empty()) {
q.pop();
}
}
return 0;
}