Submission #915702

# Submission time Handle Problem Language Result Execution time Memory
915702 2024-01-24T15:02:19 Z Alcabel Robots (APIO13_robots) C++17
30 / 100
125 ms 131920 KB
#include <bits/stdc++.h>
using namespace std;

const int maxc = 500, maxn = 10;
const int deltaX[4] = {0, -1, 0, 1}, deltaY[4] = {1, 0, -1, 0};
char t[maxc][maxc];
pair<int, int> dest[maxc][maxc][4];
char vis[maxc][maxc][4];
int w, h;

pair<int, int> getDest(int x, int y, int dir) {
    if (vis[x][y][dir] == 1) {
        dest[x][y][dir] = {-1, -1};
        return {-1, -1};
    }
    if (vis[x][y][dir] == 2) {
        return dest[x][y][dir];
    }
    vis[x][y][dir] = 1;
    int newDir = dir;
    if (t[x][y] == 'A') {
        newDir = (dir < 3 ? dir + 1 : 0);
    } else if (t[x][y] == 'C') {
        newDir = (dir > 0 ? dir - 1 : 3);
    }
    int newX = x + deltaX[newDir], newY = y + deltaY[newDir];
    if (newX < 0 || newX >= h || newY < 0 || newY >= w || t[newX][newY] == 'x') {
        dest[x][y][dir] = {x, y};
    } else {
        dest[x][y][dir] = getDest(newX, newY, newDir);
    }
    vis[x][y][dir] = 2;
    return dest[x][y][dir];
}

const int inf = 1e9;
int dist[maxc][maxc];
int dp[maxn][maxn][maxc][maxc];

void bfs(int sx, int sy) {
    static queue<pair<int, int>> q;
    for (int i = 0; i < h; ++i) {
        for (int j = 0; j < w; ++j) {
            dist[i][j] = -1;
        }
    }
    dist[sx][sy] = 0;
    q.emplace(sx, sy);
    while (!q.empty()) {
        auto [x, y] = q.front();
        q.pop();
        for (int dir = 0; dir < 4; ++dir) {
            auto [newX, newY] = dest[x][y][dir];
            if (newX != -1 && dist[newX][newY] == -1) {
                dist[newX][newY] = dist[x][y] + 1;
                q.emplace(newX, newY);
            }
        }
    }
    int num = t[sx][sy] - '1';
    for (int i = 0; i < h; ++i) {
        for (int j = 0; j < w; ++j) {
            if (dist[i][j] != -1) {
                dp[num][num][i][j] = dist[i][j];
            }
        }
    }
}

const int maxd = maxn * maxc * maxc + 10;
vector<pair<int ,int>> byDist[maxd];
int distT[maxd], tt;

void solve() {
    int n;
    cin >> n >> w >> h;
    for (int i = 0; i < h; ++i) {
        for (int j = 0; j < w; ++j) {
            cin >> t[i][j];
        }
    }
    for (int i = 0; i < h; ++i) {
        for (int j = 0; j < w; ++j) {
            // cerr << "i: " << i << ", j: " << j << '\n';
            for (int dir = 0; dir < 4; ++dir) {
                if (t[i][j] == 'x') {
                    dest[i][j][dir] = {-1, -1};
                    vis[i][j][dir] = 2;
                } else {
                    dest[i][j][dir] = getDest(i, j, dir);
                }
                // cerr << "dir: " << dir << ", dest: " << dest[i][j][dir].first << ' ' << dest[i][j][dir].second << '\n';
            }
        }
    }
    for (int l = 0; l < n; ++l) {
        for (int r = 0; r < n; ++r) {
            for (int i = 0; i < h; ++i) {
                for (int j = 0; j < w; ++j) {
                    dp[l][r][i][j] = inf;
                }
            }
        }
    }
    for (int i = 0; i < h; ++i) {
        for (int j = 0; j < w; ++j) {
            if (t[i][j] >= '1' && t[i][j] <= '9') {
                bfs(i, j);
            }
        }
    }
    tt = 0;
    for (int len = 2; len <= n; ++len) {
        for (int l = 0; l + len <= n; ++l) {
            int r = l + len - 1;
            // cerr << "l: " << l << ", r: " << r << '\n';
            int needcnt = 0, start = inf;
            ++tt;
            for (int i = 0; i < h; ++i) {
                for (int j = 0; j < w; ++j) {
                    for (int m = l; m < r; ++m) {
                        dp[l][r][i][j] = min(dp[l][r][i][j], dp[l][m][i][j] + dp[m + 1][r][i][j]);
                    }
                    dist[i][j] = dp[l][r][i][j];
                    if (dist[i][j] != inf) {
                        ++needcnt;
                        if (distT[dist[i][j]] < tt) {
                            distT[dist[i][j]] = tt;
                            byDist[dist[i][j]].clear();
                        }
                        byDist[dist[i][j]].emplace_back(i, j);
                        start = min(start, dist[i][j]);
                    }
                    // cerr << "i: " << i << ", j: " << j << ", dist: " << dist[i][j] << '\n';
                }
            }
            while (needcnt > 0) {
                if (distT[start] < tt) {
                    ++start;
                    continue;
                }
                while (!byDist[start].empty()) {
                    auto [i, j] = byDist[start].back();
                    byDist[start].pop_back();
                    dp[l][r][i][j] = dist[i][j];
                    --needcnt;
                    for (int dir = 0; dir < 4; ++dir) {
                        auto [newI, newJ] = dest[i][j][dir];
                        if (newI != -1 && dist[newI][newJ] > dist[i][j] + 1) {
                            int newd = dist[i][j] + 1;
                            dist[newI][newJ] = newd;
                            if (distT[newd] < tt) {
                                distT[newd] = tt;
                                byDist[newd].clear();
                            }
                            byDist[newd].emplace_back(newI, newJ);
                        }
                    }
                }
                ++start;
            }
        }
    }
    int ans = inf;
    for (int i = 0; i < h; ++i) {
        for (int j = 0; j < w; ++j) {
            ans = min(ans, dp[0][n - 1][i][j]);
        }
    }
    if (ans == inf) {
        ans = -1;
    }
    cout << ans << '\n';
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    int T = 1;
    cin >> T;
    while (T--) {
        solve();
        cerr << "-----------\n";
        cout << "-----------\n";
    }
#else
    int T = 1;
    // cin >> T;
    while (T--) {
        solve();
    }
#endif

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 21 ms 68440 KB Output is correct
2 Correct 19 ms 68156 KB Output is correct
3 Correct 20 ms 68188 KB Output is correct
4 Correct 19 ms 67928 KB Output is correct
5 Correct 18 ms 68188 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 68440 KB Output is correct
2 Correct 19 ms 68156 KB Output is correct
3 Correct 20 ms 68188 KB Output is correct
4 Correct 19 ms 67928 KB Output is correct
5 Correct 18 ms 68188 KB Output is correct
6 Correct 19 ms 68184 KB Output is correct
7 Correct 19 ms 67928 KB Output is correct
8 Correct 18 ms 68192 KB Output is correct
9 Correct 19 ms 67932 KB Output is correct
10 Correct 20 ms 67932 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 68440 KB Output is correct
2 Correct 19 ms 68156 KB Output is correct
3 Correct 20 ms 68188 KB Output is correct
4 Correct 19 ms 67928 KB Output is correct
5 Correct 18 ms 68188 KB Output is correct
6 Correct 19 ms 68184 KB Output is correct
7 Correct 19 ms 67928 KB Output is correct
8 Correct 18 ms 68192 KB Output is correct
9 Correct 19 ms 67932 KB Output is correct
10 Correct 20 ms 67932 KB Output is correct
11 Correct 79 ms 126372 KB Output is correct
12 Correct 23 ms 72284 KB Output is correct
13 Correct 45 ms 103932 KB Output is correct
14 Incorrect 125 ms 131920 KB Output isn't correct
15 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 21 ms 68440 KB Output is correct
2 Correct 19 ms 68156 KB Output is correct
3 Correct 20 ms 68188 KB Output is correct
4 Correct 19 ms 67928 KB Output is correct
5 Correct 18 ms 68188 KB Output is correct
6 Correct 19 ms 68184 KB Output is correct
7 Correct 19 ms 67928 KB Output is correct
8 Correct 18 ms 68192 KB Output is correct
9 Correct 19 ms 67932 KB Output is correct
10 Correct 20 ms 67932 KB Output is correct
11 Correct 79 ms 126372 KB Output is correct
12 Correct 23 ms 72284 KB Output is correct
13 Correct 45 ms 103932 KB Output is correct
14 Incorrect 125 ms 131920 KB Output isn't correct
15 Halted 0 ms 0 KB -