oj.uz

Submission #588390

# Submission time Handle Problem Language Result Execution time Memory
588390 2022-07-03T08:56:05 Z MilosMilutinovic Magenta (COCI21_magenta) C++14
110 / 110
 81 ms 10160 KB 
/**
 *    author:  wxhtzdy
 *    created: 02.07.2022 21:03:17
**/
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);  
  int n;
  cin >> n;
  int a, b;
  cin >> a >> b;
  --a; --b;
  vector<vector<pair<int, int>>> g(n);
  for (int i = 0; i < n - 1; i++) {
    int u, v;
    cin >> u >> v;
    string foo;
    cin >> foo;
    --u; --v;
    int t;
    if (foo == "plava") {
      t = 1;
    } else if (foo == "magenta") {
      t = 2;      
    } else {
      t = 3;
    }
    g[u].emplace_back(v, t);
    g[v].emplace_back(u, t);
  }
  vector<int> dep(n);
  vector<int> par(n);
  function<void(int, int)> Dfs = [&](int v, int pr) {
    par[v] = pr;
    dep[v] = dep[pr] + 1;
    for (auto& e : g[v]) {
      int u = e.first;
      if (u == pr) {
        continue;
      }
      Dfs(u, v);
    }
  };
  Dfs(0, 0);
  int x = a, y = b, dis = 0;
  while (x != y) {
    if (dep[x] > dep[y]) {
      x = par[x];
    } else {
      y = par[y];
    }
    dis += 1;
  }            
  vector<vector<int>> dist(2, vector<int>(n, -1));
  {                                            
    dist[0][a] = 0;
    vector<int> que(1, a);
    for (int x = 0; x < (int) que.size(); x++) {
      int i = que[x];
      for (auto& e : g[i]) {
        int u = e.first;
        int w = e.second;
        if (w <= 2 && dist[0][u] == -1) {
          dist[0][u] = dist[0][i] + 1;
          que.push_back(u);            
        }
      }
    }
  }
  {                                            
    dist[1][b] = 0;
    vector<int> que(1, b);
    for (int x = 0; x < (int) que.size(); x++) {
      int i = que[x];
      for (auto& e : g[i]) {
        int u = e.first;
        int w = e.second;
        if (w >= 2 && dist[1][u] == -1) {
          dist[1][u] = dist[1][i] + 1;
          que.push_back(u);            
        }
      }
    }
  }
  bool have = false;
  for (auto& e : g[a]) {
    if (e.first != b && e.second <= 2) {
      have = true;
    }
  }
  if (!have) {
    cout << "Marin" << '\n';
    return 0;
  }
  if (dis % 2 == 0) {
    if (dist[0][b] == -1 && (int) g[b].size() > 1) {
      cout << "Magenta" << '\n';
      return 0;
    }
    bool ok = false;
    function<void(int, int)> Dfs = [&](int v, int pr) {
      for (auto& e : g[v]) {
        int u = e.first;
        int w = e.second;
        if (u == pr || w == 1 || (dist[0][u] != -1 && dist[0][u] <= dist[1][u])) {
          continue;
        }
        if (dist[0][v] == -1 && dist[0][u] == -1) {
          ok = true;
        }          
        Dfs(u, v);
      }
    };
    Dfs(b, b);
    cout << (ok ? "Magenta" : "Paula") << '\n';
  } else { 
    have = false;
    for (auto& e : g[b]) {
      if (e.second >= 2) {
        have = true;
      }
    }
    if (!have) {
      cout << "Paula" << '\n';
      return 0;
    }
    have = false;
    for (auto& e : g[a]) {
      if (e.second <= 2 && dist[1][e.first] == -1) {
        have = true;
      }
    }
    if (dist[1][a] == -1 && have) {
      cout << "Magenta" << '\n';
      return 0;
    }
    bool ok = false;
    function<void(int, int)> Dfs = [&](int v, int pr) {
      for (auto& e : g[v]) {
        int u = e.first;
        int w = e.second;
        if (u == pr || w == 3 || (dist[1][u] != -1 && dist[1][u] < dist[0][u])) {
          continue;
        }   
        if (dist[1][v] == -1 && dist[1][u] == -1) {
          ok = true;
        }
        Dfs(u, v);
      }
    };
    Dfs(a, a);
    cout << (ok ? "Magenta" : "Marin") << '\n';
  }
  return 0;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 316 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 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 9300 KB Output is correct
2 Correct 56 ms 9372 KB Output is correct
3 Correct 81 ms 9356 KB Output is correct
4 Correct 57 ms 9384 KB Output is correct
5 Correct 73 ms 9356 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 212 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 316 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 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 61 ms 9300 KB Output is correct
15 Correct 56 ms 9372 KB Output is correct
16 Correct 81 ms 9356 KB Output is correct
17 Correct 57 ms 9384 KB Output is correct
18 Correct 73 ms 9356 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 320 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 56 ms 10068 KB Output is correct
32 Correct 54 ms 10160 KB Output is correct
33 Correct 49 ms 10116 KB Output is correct
34 Correct 53 ms 10060 KB Output is correct