Submission #684313

# Submission time Handle Problem Language Result Execution time Memory
684313 2023-01-20T21:37:21 Z MilosMilutinovic Virus Experiment (JOI19_virus) C++14
100 / 100
1452 ms 20580 KB
/**
 *    author:  wxhtzdy
 *    created: 20.01.2023 20:24:06
**/
#include <bits/stdc++.h>

using namespace std;

const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
const string D = "NSWE";
       
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);  
  int k, n, m;
  cin >> k >> n >> m;
  string d;
  cin >> d;
  vector<vector<int>> a(n, vector<int>(m));
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      cin >> a[i][j];
    }
  }
  vector<vector<int>> id(n, vector<int>(m));
  vector<vector<int>> par(n, vector<int>(m));
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      id[i][j] = i * m + j;
      par[i][j] = id[i][j];
    }
  }
  vector<int> len(1 << 4);
  for (int mask = 0; mask < (1 << 4); mask++) {
    int bal = 0;
    for (int i = 0; i < k; i++) {
      bool ok = false;
      for (int j = 0; j < 4; j++) {
        if ((mask >> j & 1) && D[j] == d[i]) {
          ok = true;
        }
      }     
      bal = (ok ? bal + 1 : 0);
      len[mask] = max(len[mask], bal);
    }         
    if (len[mask] == k) {
      len[mask] = (int) 1e9;
    } else {
      int L = 0;
      while (L < k) {
        bool ok = false;       
        for (int j = 0; j < 4; j++) {
          if ((mask >> j & 1) && D[j] == d[L]) {
            ok = true;
          }
        }
        if (ok) {
          L += 1;
        } else {
          break;
        }
      }
      int R = k - 1;
      while (R >= 0) {
        bool ok = false;
        for (int j = 0; j < 4; j++) {
          if ((mask >> j & 1) && D[j] == d[R]) {
            ok = true;
          }
        }
        if (ok) {
          R -= 1;
        } else {
          break;
        }
      }
      assert(L <= R);
      len[mask] = max(len[mask], L + (k - 1 - R));   
    }
  }
  function<int(int, int)> Get = [&](int x, int y) {
    return par[x][y] == id[x][y] ? id[x][y] : par[x][y] = Get(par[x][y] / m, par[x][y] % m);
  };
  auto Valid = [&](int x, int y) {
    return 0 <= x && x < n && 0 <= y && y < m && a[x][y] != 0;
  };
  vector<vector<int>> v(n, vector<int>(m));
  auto Update = [&](vector<int> q) {
    for (int i = 0; i < (int) q.size(); i++) {
      int x = q[i] / m;
      int y = q[i] % m;
      v[x][y] = (int) q.size();
    }
  };
  for (int iter = 0; iter < 20; iter++) {
    vector<int> f;
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        if (a[i][j] != 0 && Get(i, j) == id[i][j]) {
          f.push_back(id[i][j]);
        }
      }
    }
    vector<vector<bool>> was(n, vector<bool>(m));
    for (int i = 0; i < (int) f.size(); i++) {
      if (was[f[i] / m][f[i] % m]) {
        continue;
      }
      vector<int> que(1, f[i]);
      int idx = -1; 
      for (int b = 0; b < (int) que.size(); b++) {
        int x = que[b] / m;
        int y = que[b] % m;
        was[x][y] = true;
        for (int dir = 0; dir < 4; dir++) {
          int nx = x + dx[dir];
          int ny = y + dy[dir];
          if (Valid(nx, ny) && !was[nx][ny]) {
            int mask = 0;
            if (Valid(nx - 1, ny) && was[nx - 1][ny]) {
              mask ^= (1 << 0);              
            }
            if (Valid(nx + 1, ny) && was[nx + 1][ny]) {
              mask ^= (1 << 1);              
            }    
            if (Valid(nx, ny - 1) && was[nx][ny - 1]) {
              mask ^= (1 << 2);  
            }
            if (Valid(nx, ny + 1) && was[nx][ny + 1]) {
              mask ^= (1 << 3);  
            }
            if (len[mask] >= a[nx][ny]) {
              was[nx][ny] = true;
              que.push_back(id[nx][ny]);
              if (Get(nx, ny) != f[i]) {
                idx = Get(nx, ny);
                break;
              }
            }
          }
        }
        if (idx != -1) {
          break;
        }
      }
      for (auto& p : que) {
        was[p / m][p % m] = false;
      }
      if (idx != -1) { 
        int x = f[i] / m;
        int y = f[i] % m;
        par[x][y] = idx;
      } else {
        Update(que);
      }
    }    
  } 
  int res = (int) 1e9;
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      if (v[i][j] > 0) {
        res = min(res, v[i][j]); 
      }
    }
  }
  int cnt = 0;
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      if (v[i][j] == res) {
        cnt += 1;
      }
    }
  }
  cout << res << " " << cnt << '\n';                                                  
  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 340 KB Output is correct
2 Correct 858 ms 14616 KB Output is correct
3 Correct 302 ms 14616 KB Output is correct
4 Correct 302 ms 14616 KB Output is correct
5 Correct 1452 ms 17196 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 1276 ms 16120 KB Output is correct
8 Correct 566 ms 7812 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 8 ms 468 KB Output is correct
3 Correct 7 ms 468 KB Output is correct
4 Correct 8 ms 468 KB Output is correct
5 Correct 8 ms 468 KB Output is correct
6 Correct 12 ms 528 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 7 ms 468 KB Output is correct
9 Correct 2 ms 340 KB Output is correct
10 Correct 8 ms 532 KB Output is correct
11 Correct 3 ms 340 KB Output is correct
12 Correct 6 ms 340 KB Output is correct
13 Correct 8 ms 468 KB Output is correct
14 Correct 8 ms 468 KB Output is correct
15 Correct 8 ms 532 KB Output is correct
16 Correct 9 ms 488 KB Output is correct
17 Correct 8 ms 344 KB Output is correct
18 Correct 5 ms 396 KB Output is correct
19 Correct 17 ms 540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 340 KB Output is correct
2 Correct 858 ms 14616 KB Output is correct
3 Correct 302 ms 14616 KB Output is correct
4 Correct 302 ms 14616 KB Output is correct
5 Correct 1452 ms 17196 KB Output is correct
6 Correct 2 ms 468 KB Output is correct
7 Correct 1276 ms 16120 KB Output is correct
8 Correct 566 ms 7812 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 8 ms 468 KB Output is correct
11 Correct 7 ms 468 KB Output is correct
12 Correct 8 ms 468 KB Output is correct
13 Correct 8 ms 468 KB Output is correct
14 Correct 12 ms 528 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 7 ms 468 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 8 ms 532 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 6 ms 340 KB Output is correct
21 Correct 8 ms 468 KB Output is correct
22 Correct 8 ms 468 KB Output is correct
23 Correct 8 ms 532 KB Output is correct
24 Correct 9 ms 488 KB Output is correct
25 Correct 8 ms 344 KB Output is correct
26 Correct 5 ms 396 KB Output is correct
27 Correct 17 ms 540 KB Output is correct
28 Correct 1403 ms 20580 KB Output is correct
29 Correct 341 ms 17764 KB Output is correct
30 Correct 280 ms 16196 KB Output is correct
31 Correct 359 ms 15780 KB Output is correct
32 Correct 370 ms 15712 KB Output is correct
33 Correct 553 ms 16004 KB Output is correct
34 Correct 1368 ms 20484 KB Output is correct
35 Correct 991 ms 15032 KB Output is correct
36 Correct 1083 ms 16424 KB Output is correct
37 Correct 1056 ms 16348 KB Output is correct
38 Correct 1330 ms 20504 KB Output is correct
39 Correct 765 ms 17072 KB Output is correct
40 Correct 843 ms 17128 KB Output is correct
41 Correct 396 ms 16068 KB Output is correct
42 Correct 1149 ms 16736 KB Output is correct
43 Correct 290 ms 16232 KB Output is correct
44 Correct 579 ms 7732 KB Output is correct