oj.uz

Submission #673534

# Submission time Handle Problem Language Result Execution time Memory
673534 2022-12-20T21:57:23 Z taher Portals (BOI14_portals) C++17
100 / 100
 245 ms 14440 KB 
#include <bits/stdc++.h>

using namespace std;

const int inf = 1000000000;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n , m;
  cin >> n >> m;
  vector<vector<char>> g(n , vector<char> (m));
  for (int i = 0 ; i < n ; i++) {
    for (int j = 0 ; j < m ; j++) {
      cin >> g[i][j];
    }
  }
  vector<vector<int>> prefX(n , vector<int> (m));
  vector<vector<int>> prefY(m , vector<int> (n));
  for (int i = 0 ; i < n ; i++) {
    for (int j = 0 ; j < m ; j++) {
      if (j > 0) prefX[i][j] = prefX[i][j - 1];
      if (g[i][j] == '#') prefX[i][j] += 1;
    }
  }
  for (int j = 0 ; j < m ; j++) {
    for (int i = 0 ; i < n ; i++) {
      if (i > 0) prefY[j][i] = prefY[j][i - 1];
      if (g[i][j] == '#') prefY[j][i] += 1;      
    }
  }
  int locX = 0 , locY = 0;
  int desX = 0 , desY = 0;
  for (int i = 0 ; i < n ; i++) {
    for (int j = 0 ; j < m ; j++) {
      if (g[i][j] == 'S') {
        locX = i;
        locY = j;
      }
      if (g[i][j] == 'C') {
        desX = i;
        desY = j;
      }
    }
  }
  auto Ok = [&](int i , int j) {
    if (i >= 0 && i < n && j >= 0 && j < m) {
      return true;
    } 
    return false;
  };
  auto Up = [&](int i , int j) {
    int lo = 0 , hi = i - 1;
    int at = prefY[j][i];
    if (at == 0) return -1;
    while (lo <= hi) {
      int mid = lo + (hi - lo) / 2;
      if (prefY[j][mid] < at) {
        lo = mid + 1;
      } else {
        hi = mid - 1;
      }
    }
    return lo;
  };
  auto Down = [&](int i , int j) {
    int lo = i + 1 , hi = n - 1;
    int at = prefY[j][n - 1] - prefY[j][i];
    if (at == 0) return n;
    while (lo <= hi) {
      int mid = lo + (hi - lo) / 2;
      if (prefY[j][n - 1] - prefY[j][mid] == at) {
        lo = mid + 1;
      } else {
        hi = mid - 1;
      }
    }
    return lo;
  };

  auto Left = [&](int i , int j) {
    int lo = 0 , hi = j - 1;
    int at = prefX[i][j];
    if (at == 0) return -1;
    while (lo <= hi) {
      int mid = lo + (hi - lo) / 2;
      if (prefX[i][mid] < at) {
        lo = mid + 1;
      } else {
        hi = mid - 1;
      }
    }
    return lo;
  };

  auto Right = [&](int i , int j) {
    int lo = j + 1 , hi = m - 1;
    int at = prefX[i][m - 1] - prefX[i][j];
    if (at == 0) return m;
    while (lo <= hi) {
      int mid = lo + (hi - lo) / 2;
      if (prefX[i][m - 1] - prefX[i][mid] == at) {
        lo = mid + 1;
      } else {
        hi = mid - 1;
      }
    }
    return lo;
  };

  const int dx[4] = {1 , 0 , 0 , -1};
  const int dy[4] = {0 , 1 , -1 , 0};
  #define pi pair<int , int>
  priority_queue<pair<int , pi> , vector<pair<int , pi>> , greater<pair<int , pi>>> que;
  que.emplace(0 , make_pair(locX , locY));
  vector<vector<int>> dist(n , vector<int> (m , inf));
  dist[locX][locY] = 0;

  auto Update = [&](int i , int j , int ni , int nj , int add) {
    if (dist[ni][nj] > dist[i][j] + add) {
      dist[ni][nj] = dist[i][j] + add;
      que.emplace(dist[ni][nj] , make_pair(ni , nj));
    }
    return ;
  };
  while (!que.empty()) {
    auto pos = que.top();
    que.pop();
    int x = pos.second.first;
    int y = pos.second.second;
    if (dist[x][y] != pos.first) {
      continue;
    }
    for (int it = 0 ; it < 4 ; it++) {
      int nx = x + dx[it];
      int ny = y + dy[it];
      if (Ok(nx , ny)) {
        if (g[nx][ny] != '#' && dist[nx][ny] > dist[x][y] + 1) {
          dist[nx][ny] = dist[x][y] + 1;
          que.emplace(dist[nx][ny] , make_pair(nx , ny));
        }
      }
    }
    int x0 = Up(x , y);
    int x1 = Down(x , y);
    int y0 = Left(x , y);
    int y1 = Right(x , y);
    int d0 = x - x0;
    int d1 = x1 - x;
    int d2 = y - y0;
    int d3 = y1 - y;
    int d = min({d0 , d1 , d2 , d3});
    if (Ok(x0 + 1 , y)) {
      if (d < d0) {
        assert(g[x0 + 1][y] != '#');
        Update(x , y , x0 + 1 , y , d);
      }
    }
    if (Ok(x1 - 1 , y)) {
      if (d < d1) {
        assert(g[x1 - 1][y] != '#');
        Update(x , y , x1 - 1 , y , d);
      }
    }
    if (Ok(x , y0 + 1)) {
      if (d < d2) {
        assert(g[x][y0 + 1] != '#');
        Update(x , y , x , y0 + 1 , d);
      }
    }
    if (Ok(x , y1 - 1)) {
      if (d < d3) {
        assert(g[x][y1 - 1] != '#');
        Update(x , y , x , y1 - 1 , d);
      }
    }
  }
  cout << dist[desX][desY] << '\n';
  return 0;  
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 320 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 324 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 316 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 212 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 6 ms 904 KB Output is correct
6 Correct 9 ms 852 KB Output is correct
7 Correct 8 ms 852 KB Output is correct
8 Correct 4 ms 852 KB Output is correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 0 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 312 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 6 ms 900 KB Output is correct
15 Correct 7 ms 852 KB Output is correct
16 Correct 8 ms 852 KB Output is correct
17 Correct 8 ms 852 KB Output is correct
18 Correct 11 ms 852 KB Output is correct
19 Correct 9 ms 916 KB Output is correct
20 Correct 8 ms 852 KB Output is correct
21 Correct 7 ms 852 KB Output is correct
22 Correct 8 ms 908 KB Output is correct
23 Correct 7 ms 852 KB Output is correct
24 Correct 7 ms 840 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 324 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 4 ms 852 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 0 ms 316 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 1 ms 324 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 1 ms 320 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 6 ms 852 KB Output is correct
15 Correct 7 ms 852 KB Output is correct
16 Correct 8 ms 852 KB Output is correct
17 Correct 8 ms 852 KB Output is correct
18 Correct 10 ms 852 KB Output is correct
19 Correct 8 ms 852 KB Output is correct
20 Correct 8 ms 944 KB Output is correct
21 Correct 6 ms 840 KB Output is correct
22 Correct 6 ms 852 KB Output is correct
23 Correct 8 ms 868 KB Output is correct
24 Correct 229 ms 14300 KB Output is correct
25 Correct 245 ms 14428 KB Output is correct
26 Correct 193 ms 14440 KB Output is correct
27 Correct 193 ms 14332 KB Output is correct
28 Correct 143 ms 14284 KB Output is correct
29 Correct 169 ms 14180 KB Output is correct
30 Correct 196 ms 14176 KB Output is correct
31 Correct 7 ms 852 KB Output is correct
32 Correct 184 ms 14108 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 184 ms 14160 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 3 ms 852 KB Output is correct
38 Correct 89 ms 14156 KB Output is correct
39 Correct 123 ms 14112 KB Output is correct