普通DFS——0分,Time Exceeded:
#include <queue>
#include <iostream>
using namespace std;
int n, m, sx, sy, ex, ey, ans = 0xfffffff, cnt, f[705][705];
int dx[] = {0, 1, -1, 0, 0};
int dy[] = {0, 0, 0, 1, -1};
char a[705][705], b[705][705];
bool vis[705][705];
bool check1(int x, int y)
{
if (x < 1 || x > n)return 0;
if (y < 1 || y > m)return 0;
if (a[x][y] == '.')return 0;
return 1;
}
bool check2(int x, int y)
{
if (x < 1 || x > n)return 0;
if (y < 1 || y > m)return 0;
if (vis[x][y])return 0;
return 1;
}
void dfs1(int x, int y)
{
for (int i = 1; i <= 4; i++)
{
int nx = x + dx[i];
int ny = y + dy[i];
if (check1(nx, ny))
{
a[nx][ny] = '.';
dfs1(nx, ny);
}
}
}
void dfs2(int x, int y)
{
if (x == ex && y == ey)
{
ans = min(ans, cnt);
return ;
}
for (int i = 1; i <= 4; i++)
{
int nx = x + dx[i];
int ny = y + dy[i];
if (check2(nx, ny))
{
if (b[nx][ny] == '.')cnt++;
vis[nx][ny] = 1;
dfs2(nx, ny);
vis[nx][ny] = 0;
if (b[nx][ny] == '.')cnt--;
}
}
}
int main()
{
for (int i = 0; i < 705; i++)
for (int j = 0; j < 705; j++)
f[i][j] = 0xfffffff;
cin >> n >> m;
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= m; j++)
{
cin >> a[i][j];
b[i][j] = a[i][j];
}
}
bool flag = 0;
for (int i = 1; i <= n; i++)
{
for (int j = 1; j <= m; j++)
{
if (a[i][j] == 'X')
{
if (flag == 0)
{
sx = i;
sy = j;
flag = 1;
}
else
{
ex = i;
ey = j;
}
dfs1(i, j);
}
}
}
dfs2(sx, sy);
cout << ans;
return 0;
}
DFS+记忆化优化——70分,Time Exceeded:
#include <queue>
#include <iostream>
using namespace std;
//...
void dfs2(int x, int y)
{
//...
if (f[x][y] <= cnt)return ;
f[x][y] = cnt;
//...
}
int main()
{
//...
return 0;
}
普通BFS——6分,Memory Exceeded:
//...
void bfs()
{
queue <stu> q;
q.push(stu{sx, sy, 0});
while (!q.empty())
{
stu f = q.front();
q.pop();
if (f.x == ex && f.y == ey)
{
cout << f.step;
exit(0);
}
for (int i = 1; i <= 4; i++)
{
int nx = f.x + dx[i];
int ny = f.y + dy[i];
int nstep = f.step + 1;
if (check2(nx, ny))
{
if (b[nx][ny] == '.')nstep--;
q.push(stu{nx, ny, nstep});
}
}
}
}
//...
BFS+奇怪的优化——40分, Wrong Answer:
//...
void bfs(int sx, int sy)
{
//...
while (!q.empty())
{
//...
for (int i = 1; i <= 4; i++)
{
//...
if (check2(nx, ny))
{
int nstep = f[t.x][t.y] + (b[nx][ny] == '.' ? 1 : 0);
if (nstep < f[nx][ny])
{
//...
}
}
}
}
}
//...
DeepSeekⅠ——82分,Runtime Error Segmentation fault:
#include <iostream>
#include <queue>
#include <climits>
using namespace std;
const int MX = 705;
int n, m, ans;
char g[MX][MX];
int d[MX][MX];
int qx[MX*MX], qy[MX*MX];
int dx[] = {1, -1, 0, 0};
int dy[] = {0, 0, 1, -1};
int s1x[MX*MX], s1y[MX*MX], s2x[MX*MX], s2y[MX*MX];
int c1, c2;
void bfs_mark(int sx, int sy, int id)
{
int h = 0, t = 0;
qx[t] = sx;
qy[t++] = sy;
g[sx][sy] = 'V';
while (h < t)
{
int x = qx[h], y = qy[h++];
if (id == 0)
{
s1x[c1] = x;
s1y[c1++] = y;
}
else
{
s2x[c2] = x;
s2y[c2++] = y;
}
for (int i = 0; i < 4; i++)
{
int nx = x + dx[i], ny = y + dy[i];
if (nx >= 1 && nx <= n && ny >= 1 && ny <= m && g[nx][ny] == 'X')
{
g[nx][ny] = 'V';
qx[t] = nx;
qy[t++] = ny;
}
}
}
}
int bfs_search()
{
int h = 0, t = 0;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
d[i][j] = INT_MAX;
for (int i = 0; i < c1; i++)
{
d[s1x[i]][s1y[i]] = 0;
qx[t] = s1x[i];
qy[t++] = s1y[i];
}
while (h < t)
{
int x = qx[h], y = qy[h++];
for (int i = 0; i < 4; i++)
{
int nx = x + dx[i], ny = y + dy[i];
if (nx >= 1 && nx <= n && ny >= 1 && ny <= m)
{
int nd = d[x][y] + (g[nx][ny] == '.' ? 1 : 0);
if (nd < d[nx][ny])
{
d[nx][ny] = nd;
qx[t] = nx;
qy[t++] = ny;
}
}
}
}
int res = INT_MAX;
for (int i = 0; i < c2; i++)
res = min(res, d[s2x[i]][s2y[i]]);
return res;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n >> m;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
cin >> g[i][j];
int cnt = 0;
for (int i = 1; i <= n && cnt < 2; i++)
for (int j = 1; j <= m && cnt < 2; j++)
if (g[i][j] == 'X')
{
bfs_mark(i, j, cnt);
cnt++;
}
ans = bfs_search();
cout << ans << endl;
return 0;
}
DeepSeekⅡ——100分,Accepted:
#include <iostream>
#include <queue>
#include <climits>
using namespace std;
const int MX = 710; // 增加缓冲空间
int n, m, ans;
char g[MX][MX];
int d[MX][MX];
int qx[MX*MX], qy[MX*MX];
int dx[] = {1, -1, 0, 0};
int dy[] = {0, 0, 1, -1};
int s1x[MX*MX], s1y[MX*MX], s2x[MX*MX], s2y[MX*MX];
int c1 = 0, c2 = 0; // 显式初始化
void bfs_mark(int sx, int sy, int id)
{
int h = 0, t = 0;
qx[t] = sx;
qy[t++] = sy;
g[sx][sy] = 'V';
while (h < t)
{
int x = qx[h], y = qy[h++];
if (id == 0)
{
if(c1 >= MX*MX) return; // 防止数组越界
s1x[c1] = x;
s1y[c1++] = y;
}
else
{
if(c2 >= MX*MX) return; // 防止数组越界
s2x[c2] = x;
s2y[c2++] = y;
}
for (int i = 0; i < 4; i++)
{
int nx = x + dx[i];
int ny = y + dy[i];
if (nx >= 1 && nx <= n && ny >= 1 && ny <= m && g[nx][ny] == 'X')
{
g[nx][ny] = 'V';
if(t >= MX*MX) return; // 防止队列溢出
qx[t] = nx;
qy[t++] = ny;
}
}
}
}
int bfs_search()
{
int h = 0, t = 0;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
d[i][j] = INT_MAX;
for (int i = 0; i < c1; i++)
{
d[s1x[i]][s1y[i]] = 0;
qx[t] = s1x[i];
qy[t++] = s1y[i];
}
while (h < t)
{
int x = qx[h], y = qy[h++];
for (int i = 0; i < 4; i++)
{
int nx = x + dx[i];
int ny = y + dy[i];
if (nx >= 1 && nx <= n && ny >= 1 && ny <= m)
{
int nd = d[x][y] + (g[nx][ny] == '.' ? 1 : 0);
if (nd < d[nx][ny])
{
d[nx][ny] = nd;
if(t >= MX*MX) continue; // 防止队列溢出
qx[t] = nx;
qy[t++] = ny;
}
}
}
}
int res = INT_MAX;
for (int i = 0; i < c2; i++)
if(s2x[i] >= 1 && s2x[i] <= n && s2y[i] >= 1 && s2y[i] <= m) // 边界检查
res = min(res, d[s2x[i]][s2y[i]]);
return res == INT_MAX ? 0 : res; // 处理无解情况
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n >> m;
if(n < 1 || n > 700 || m < 1 || m > 700) return 0; // 输入验证
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
cin >> g[i][j];
int cnt = 0;
for (int i = 1; i <= n && cnt < 2; i++)
for (int j = 1; j <= m && cnt < 2; j++)
if (g[i][j] == 'X')
{
bfs_mark(i, j, cnt);
cnt++;
}
ans = bfs_search();
cout << ans << endl;
return 0;
}