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Submission #931573

# Submission time Handle Problem Language Result Execution time Memory
931573 2024-02-22T05:25:03 Z nguyentunglam Simurgh (IOI17_simurgh) C++17
100 / 100
 201 ms 7288 KB 
#include<bits/stdc++.h>
#include "simurgh.h"

using namespace std;

const int N = 510 + 10;

struct DSU {
  vector<int> lab;

  void init (int sz) {
    lab.resize(sz + 2);
    for(int i = 0; i <= sz; i++) lab[i] = -1;
  }

  int root(int v) {
    return lab[v] < 0 ? v : lab[v] = root(lab[v]);
  }

  bool join(int u, int v) {
    u = root(u);
    v = root(v);
    if (u == v) return false;
    if (lab[u] > lab[v]) swap(u, v);
    lab[u] += lab[v];
    lab[v] = u;
    return true;
  }
};

DSU edge;

DSU tree[N];

vector<int> adj[N], _adj[N], st, arr[N];

int h[N], par[N], __u[N * N], __v[N * N];

bool in[N * N], taken[N], vis[N], royal[N * N];

int idx[N], know[N];

void dfs(int u, int p) {
  h[u] = h[p] + 1;
  par[u] = p;
  for(int &v : adj[u]) if (v != p) dfs(v, u);
}

void tell (int u) {
  vis[u] = 1;
  for(int &v : _adj[u]) if (know[v] == -1) {
    know[v] = know[u];
    tell(v);
  }
}

int calc (vector<int> a) {
  DSU tmp;
  tmp.init(st.size() + 2);
  vector<int> ask = a;
  for(int &j : a) assert(tmp.join(__u[j], __v[j]));
  int sum = 0;
  for(int &j : st) if (tmp.join(__u[j], __v[j])) {
    ask.push_back(j);
    sum += royal[j];
  }
  assert(ask.size() == st.size());
  return count_common_roads(ask) - sum;
}

void solve(vector<int> cur, int tmp) {
  if (!tmp) return;
//  for(auto &j : cur) cout << j << " "; cout << tmp << "@@" << endl;
  if (cur.size() == 1) {
    royal[cur.back()] = tmp;
    return;
  }
  vector<int> left, right;
  for(int i = 0; i < cur.size(); i++) {
    if (i < (int) cur.size() / 2) left.push_back(cur[i]);
    else right.push_back(cur[i]);
  }
//  if (left.size() >= cur.size()) {
//    cerr << cur.size() << endl;
//  }
  assert(left.size() < cur.size());
  int cost_left = calc(left);
  int cost_right = tmp - cost_left;
  solve(left, cost_left);
  solve(right, cost_right);
}

std::vector<int> find_roads(int n, std::vector<int> u, std::vector<int> v) {
  int m = u.size();
  edge.init(n);
  for(int i = 0; i < m; i++) __u[i] = u[i], __v[i] = v[i];
  tree[0].init(n);
  for(int i = 0; i < m; i++) {
    if (tree[0].join(u[i], v[i])) {
      st.push_back(i);
      adj[u[i]].push_back(v[i]);
      adj[v[i]].push_back(u[i]);
      in[i] = 1;
    }
  }

//  for(int &j : st) cout << j << " "; cout << endl;

  int init = count_common_roads(st);

  dfs(0, 0);

  for(int i = 0; i < n; i++) know[i] = -1;
//  exit(0);

  for(int i = 0; i < m; i++) if (in[i]) {
    if (h[u[i]] < h[v[i]]) {
      swap(u[i], v[i]);
      swap(__u[i], __v[i]);
    }
    idx[u[i]] = i;
  }

//  exit(0);
  for(int i = 0; i < m; i++) if (!in[i]) {
    int x = u[i], y = v[i];
    if (h[x] < h[y]) swap(x, y);
    vector<int> part;

    auto add = [&] (int a) {
      if (a == 0) return;
      int _a = edge.root(a);
      if (!taken[_a]) {
        taken[_a] = 1;
        part.push_back(a);
      }
    };

    while (h[x] > h[y]) {
      add(x);
      x = par[x];
    }

    while (x != y) {
      add(x);
      add(y);
      x = par[x];
      y = par[y];
    }
    for(int &j : part) taken[edge.root(j)] = 0;
    if (part.size() <= 1) continue;
    int know_i = -1;
//    for(int &j : part) cout << j << " "; cout << endl;
//    cout << i << "@\n";
    for(int &j : part) {
      vector<int> ask;
      for(int &k : st) if (k != idx[j]) ask.push_back(k);
      ask.push_back(i);
      assert(ask.size() == st.size());
      int tmp = count_common_roads(ask);
      if (tmp < init) {
        know[j] = 1;
        know_i = 0;
      }
      else if (tmp > init) {
        know_i = 1;
        know[j] = 0;
      }
      else if (know[j] != -1) {
        know_i = know[j];
      }
    }
    int head = part[0];
    for(int &j : part) edge.join(j, head);
    if (know_i == -1) {
      for(int &j : part) if (j != head) {
        _adj[j].push_back(head);
        _adj[head].push_back(j);
      }
    }
    else {
      for(int &j : part) {
        if (know[j] == -1) know[j] = know_i;
        if (!vis[j]) tell(j);
      }
    }
  }

  if (init == 0) for(int i = 0; i < n; i++) know[i] = 0;
  if (init == n - 1) for(int i = 0; i < n; i++) know[i] = 1;

  for(int i = 1; i < n; i++) {
    if (know[i] == -1) know[i] = 1;
    royal[idx[i]] = know[i];
  }
//
//  for(int &j : st) {
//    cout << royal[j] << " " << u[j] << " " << v[j] << " " << j << endl;
//  } exit(0);

  for(int j = 1; j <= n; j++) tree[j].init(n);
  for(int i = 0; i < m; i++) if (!in[i]) {
    bool stop = 0;
    for(int j = 1; j <= n; j++) if (tree[j].join(u[i], v[i])) {
      arr[j].push_back(i);
      stop = 1;
      break;
    }
    assert(stop);
  }

  for(int j = 1; j <= n; j++) {
    if (!arr[j].empty()) solve(arr[j], calc(arr[j]));
  }

  for(int i = 0; i < m; i++) assert(__u[i] == u[i] && __v[i] == v[i]);

  #ifdef ngu
  for(int i = 0; i < m; i++) if (royal[i]) cout << i << " "; cout << endl;
  #endif // ngu


  vector<int> ret;

  for(int i = 0; i < m; i++) if (royal[i]) ret.push_back(i);

  return ret;
}

Compilation message

simurgh.cpp: In function 'void solve(std::vector<int>, int)':
simurgh.cpp:79:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |   for(int i = 0; i < cur.size(); i++) {
      |                  ~~^~~~~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2392 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 1 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2396 KB correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2392 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 1 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 2 ms 2648 KB correct
15 Correct 2 ms 2392 KB correct
16 Correct 1 ms 2396 KB correct
17 Correct 1 ms 2392 KB correct
18 Correct 1 ms 2392 KB correct
19 Correct 2 ms 2396 KB correct
20 Correct 1 ms 2396 KB correct
21 Correct 1 ms 2396 KB correct
22 Correct 1 ms 2396 KB correct
23 Correct 1 ms 2396 KB correct
24 Correct 1 ms 2396 KB correct
25 Correct 1 ms 2396 KB correct
26 Correct 1 ms 2396 KB correct
27 Correct 1 ms 2396 KB correct
28 Correct 1 ms 2392 KB correct
29 Correct 1 ms 2396 KB correct
30 Correct 1 ms 2396 KB correct
31 Correct 1 ms 2396 KB correct
32 Correct 1 ms 2592 KB correct
33 Correct 1 ms 2540 KB correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2392 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 1 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 2 ms 2648 KB correct
15 Correct 2 ms 2392 KB correct
16 Correct 1 ms 2396 KB correct
17 Correct 1 ms 2392 KB correct
18 Correct 1 ms 2392 KB correct
19 Correct 2 ms 2396 KB correct
20 Correct 1 ms 2396 KB correct
21 Correct 1 ms 2396 KB correct
22 Correct 1 ms 2396 KB correct
23 Correct 1 ms 2396 KB correct
24 Correct 1 ms 2396 KB correct
25 Correct 1 ms 2396 KB correct
26 Correct 1 ms 2396 KB correct
27 Correct 1 ms 2396 KB correct
28 Correct 1 ms 2392 KB correct
29 Correct 1 ms 2396 KB correct
30 Correct 1 ms 2396 KB correct
31 Correct 1 ms 2396 KB correct
32 Correct 1 ms 2592 KB correct
33 Correct 1 ms 2540 KB correct
34 Correct 32 ms 3544 KB correct
35 Correct 37 ms 3660 KB correct
36 Correct 23 ms 3160 KB correct
37 Correct 6 ms 2652 KB correct
38 Correct 32 ms 3476 KB correct
39 Correct 28 ms 3460 KB correct
40 Correct 23 ms 3164 KB correct
41 Correct 32 ms 3416 KB correct
42 Correct 31 ms 3664 KB correct
43 Correct 12 ms 3420 KB correct
44 Correct 7 ms 3068 KB correct
45 Correct 8 ms 3176 KB correct
46 Correct 6 ms 2904 KB correct
47 Correct 3 ms 2908 KB correct
48 Correct 1 ms 2652 KB correct
49 Correct 2 ms 2652 KB correct
50 Correct 4 ms 2908 KB correct
51 Correct 8 ms 3068 KB correct
52 Correct 7 ms 2904 KB correct
53 Correct 6 ms 2904 KB correct
54 Correct 9 ms 3164 KB correct
55 Correct 8 ms 3164 KB correct
56 Correct 8 ms 3164 KB correct
57 Correct 8 ms 3164 KB correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 111 ms 4944 KB correct
4 Correct 193 ms 6996 KB correct
5 Correct 191 ms 7172 KB correct
6 Correct 191 ms 6996 KB correct
7 Correct 194 ms 6992 KB correct
8 Correct 194 ms 7024 KB correct
9 Correct 191 ms 7004 KB correct
10 Correct 199 ms 7012 KB correct
11 Correct 189 ms 6992 KB correct
12 Correct 190 ms 6992 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 201 ms 7224 KB correct
15 Correct 188 ms 7060 KB correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB correct
2 Correct 1 ms 2396 KB correct
3 Correct 1 ms 2396 KB correct
4 Correct 1 ms 2396 KB correct
5 Correct 1 ms 2396 KB correct
6 Correct 1 ms 2396 KB correct
7 Correct 1 ms 2396 KB correct
8 Correct 1 ms 2392 KB correct
9 Correct 1 ms 2396 KB correct
10 Correct 1 ms 2396 KB correct
11 Correct 1 ms 2396 KB correct
12 Correct 1 ms 2396 KB correct
13 Correct 1 ms 2396 KB correct
14 Correct 2 ms 2648 KB correct
15 Correct 2 ms 2392 KB correct
16 Correct 1 ms 2396 KB correct
17 Correct 1 ms 2392 KB correct
18 Correct 1 ms 2392 KB correct
19 Correct 2 ms 2396 KB correct
20 Correct 1 ms 2396 KB correct
21 Correct 1 ms 2396 KB correct
22 Correct 1 ms 2396 KB correct
23 Correct 1 ms 2396 KB correct
24 Correct 1 ms 2396 KB correct
25 Correct 1 ms 2396 KB correct
26 Correct 1 ms 2396 KB correct
27 Correct 1 ms 2396 KB correct
28 Correct 1 ms 2392 KB correct
29 Correct 1 ms 2396 KB correct
30 Correct 1 ms 2396 KB correct
31 Correct 1 ms 2396 KB correct
32 Correct 1 ms 2592 KB correct
33 Correct 1 ms 2540 KB correct
34 Correct 32 ms 3544 KB correct
35 Correct 37 ms 3660 KB correct
36 Correct 23 ms 3160 KB correct
37 Correct 6 ms 2652 KB correct
38 Correct 32 ms 3476 KB correct
39 Correct 28 ms 3460 KB correct
40 Correct 23 ms 3164 KB correct
41 Correct 32 ms 3416 KB correct
42 Correct 31 ms 3664 KB correct
43 Correct 12 ms 3420 KB correct
44 Correct 7 ms 3068 KB correct
45 Correct 8 ms 3176 KB correct
46 Correct 6 ms 2904 KB correct
47 Correct 3 ms 2908 KB correct
48 Correct 1 ms 2652 KB correct
49 Correct 2 ms 2652 KB correct
50 Correct 4 ms 2908 KB correct
51 Correct 8 ms 3068 KB correct
52 Correct 7 ms 2904 KB correct
53 Correct 6 ms 2904 KB correct
54 Correct 9 ms 3164 KB correct
55 Correct 8 ms 3164 KB correct
56 Correct 8 ms 3164 KB correct
57 Correct 8 ms 3164 KB correct
58 Correct 0 ms 2396 KB correct
59 Correct 1 ms 2396 KB correct
60 Correct 111 ms 4944 KB correct
61 Correct 193 ms 6996 KB correct
62 Correct 191 ms 7172 KB correct
63 Correct 191 ms 6996 KB correct
64 Correct 194 ms 6992 KB correct
65 Correct 194 ms 7024 KB correct
66 Correct 191 ms 7004 KB correct
67 Correct 199 ms 7012 KB correct
68 Correct 189 ms 6992 KB correct
69 Correct 190 ms 6992 KB correct
70 Correct 1 ms 2396 KB correct
71 Correct 201 ms 7224 KB correct
72 Correct 188 ms 7060 KB correct
73 Correct 1 ms 2396 KB correct
74 Correct 192 ms 6980 KB correct
75 Correct 188 ms 7288 KB correct
76 Correct 62 ms 4432 KB correct
77 Correct 189 ms 7032 KB correct
78 Correct 191 ms 6992 KB correct
79 Correct 188 ms 6944 KB correct
80 Correct 180 ms 6992 KB correct
81 Correct 154 ms 6264 KB correct
82 Correct 182 ms 6992 KB correct
83 Correct 97 ms 5440 KB correct
84 Correct 58 ms 5412 KB correct
85 Correct 48 ms 5212 KB correct
86 Correct 31 ms 4696 KB correct
87 Correct 19 ms 4580 KB correct
88 Correct 16 ms 4184 KB correct
89 Correct 14 ms 4188 KB correct
90 Correct 13 ms 4048 KB correct
91 Correct 5 ms 3600 KB correct
92 Correct 4 ms 3420 KB correct
93 Correct 56 ms 5360 KB correct
94 Correct 29 ms 4696 KB correct
95 Correct 27 ms 4920 KB correct
96 Correct 13 ms 3932 KB correct
97 Correct 15 ms 4184 KB correct
98 Correct 20 ms 4188 KB correct
99 Correct 16 ms 4188 KB correct
100 Correct 7 ms 3676 KB correct
101 Correct 5 ms 3420 KB correct
102 Correct 46 ms 5252 KB correct
103 Correct 46 ms 5204 KB correct
104 Correct 48 ms 5204 KB correct
105 Correct 45 ms 5308 KB correct