奇偶剪枝:http://baike.baidu.com/view/7789287.htm 百度百科,假设起点是sx,sy终点是ex,ey那么abs(ex-sx)+abs(ey-ey)为起点到终点的最短步数。起点到终点的步数要么是最短步数(最短步数+0),要么是最短步数+一个偶数(偏移路径)
#include
#include
#include
#include
using namespace std;
int dir[4][2] = { 1, 0, -1, 0, 0, -1, 0, 1 };
bool flag;
bool vis[10][10];
int xs, ys, xd, yd;
int n, m, t;
char map[8][8];
int ABS(int a)
{
if (a < 0)
return -a;
else
return a;
}
void dfs(int x, int y, int time)
{
if (x < 0 || y < 0 || x >= n || y >= m)
return;
if (map[x][y] == 'X')
return;
if (vis[x][y] == 1)
return;
vis[x][y] = 1;
if (x == xd&&y == yd&&time == t)
{
flag = true;
return;
}
if (time == t && (x != xd || y != yd))
return;
if (time > t)
return;
for (int i = 0; i < 4; i++)
{
int xt = x + dir[i][0];
int yt = y + dir[i][1];
if (xt < 0 || xt >= n || yt < 0 || yt >= m || map[xt][yt] == 'X' || vis[xt][yt] == 1)
continue;
dfs(xt, yt, ++time);
vis[xt][yt] = 0;
time--;
if (flag == 1)
return;
}
}
int main()
{
while (cin >> n >> m >> t && n && m && t)
{
map[n][m];
for (int i = 0; i < n; ++i)
{
cin >> map[i];
for (int j = 0; j < m; ++j)
{
if (map[i][j] == 'S')
{
xs = i;
ys = j;
}
if (map[i][j] == 'D')
{
xd = i;
yd = j;
}
}
}
int ms = ABS(xd - xs) + ABS(yd - ys);
if (t < ms)
{
cout << "NO\n";
continue;
}
if ((t - ms) % 2)
{
cout << "NO\n";
continue;
}
flag = false;
memset(vis, 0, sizeof(vis));
dfs(xs, ys, 0);
if (flag)
cout << "Yes\n";
else
cout << "NO\n";
}
return 0;
}