oj.uz

Submission #963860

# Submission time Handle Problem Language Result Execution time Memory
963860 2024-04-15T20:30:04 Z nguyentunglam Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 174 ms 24228 KB 
#include "supertrees.h"
#ifdef ngu
#include "grader.cpp"
#endif // ngu
#include <vector>
#include<bits/stdc++.h>
using namespace std;


int construct(std::vector<std::vector<int>> p) {
	int n = p.size();

  auto valid = [&] (vector<int> a, vector<int> b, int c) {
    for(int &j : a) for(int &k : b) if (p[j][k] != c) return false;
    return true;
  };

	vector<int> vis(n), arr;

  auto dfs = [&] (auto self, int u) -> void {
    vis[u] = 1;
    arr.push_back(u);
    for(int v = 0; v < n; v++) if (!vis[v] && p[u][v] == 1) self(self, v);
  };

	std::vector<std::vector<int>> answer(n, vector<int> (n));

  auto add = [&] (int u, int v) {
    answer[u][v] = answer[v][u] = 1;
  };

  vector<vector<int> > connected;

  for(int i = 0; i < n; i++) if (!vis[i]) {
    arr.clear();
    dfs(dfs, i);
    if (!valid(arr, arr, 1)) return 0;
    connected.push_back(arr);
    for(int j = 1; j < arr.size(); j++) {
      answer[arr[j]][arr[j - 1]] = answer[arr[j - 1]][arr[j]] = 1;
    }
  }

  for(int i = 0; i < n; i++) vis[i] = 0;

  for(auto &arr : connected) {
    for(auto &j : arr) for(int k = 0; k < n; k++) if (p[j][k] != p[arr[0]][k]) return 0;
  }

  auto _dfs = [&] (auto self, int u, int c) -> void {
    vis[u] = 1;
    arr.push_back(u);
    for(int v = 0; v < connected.size(); v++) if (!vis[v] && p[connected[u][0]][connected[v][0]] == c) {
      self(self, v, c);
    }
  };

  vector<int> dd(n);

  for(int i = 0; i < connected.size(); i++) if (!vis[i]) {
    arr.clear();
    _dfs(_dfs, i, 2);
    for(int &k : arr) for(int &j : arr) if (j != k) {
      if (p[connected[k][0]][connected[j][0]] != 2) return 0;
    }
    if (arr.size() == 1) continue;
    if (arr.size() < 3) return 0;
    for(int i = 1; i < arr.size(); i++) {
      add(connected[arr[i]][0], connected[arr[i - 1]][0]);
    }
    add(connected[arr[0]][0], connected[arr.back()][0]);
    dd[i] = 1;
  }

  for(int i = 0; i < connected.size(); i++) vis[i] = 0;

  for(int i = 0; i < connected.size(); i++) if (!vis[i]) {
    arr.clear();
    _dfs(_dfs, i, 3);
    for(int &k : arr) for(int &j : arr) if (j != k) {
      if (p[connected[k][0]][connected[j][0]] != 2) return 0;
    }
    if (arr.size() == 1) continue;
    if (arr.size() < 4) return 0;
    for(int i = 1; i < arr.size(); i++) {
      add(connected[arr[i]][0], connected[arr[i - 1]][0]);
    }
    add(connected[arr[0]][0], connected[arr.back()][0]);
    add(connected[arr[1]][0], connected[arr.back()][0]);
    if (dd[i]) return 0;
  }

  build(answer);

	return 1;
}

Compilation message

supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:39:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |     for(int j = 1; j < arr.size(); j++) {
      |                    ~~^~~~~~~~~~~~
supertrees.cpp:60:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |   for(int i = 0; i < connected.size(); i++) if (!vis[i]) {
      |                  ~~^~~~~~~~~~~~~~~~~~
supertrees.cpp:68:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |     for(int i = 1; i < arr.size(); i++) {
      |                    ~~^~~~~~~~~~~~
supertrees.cpp:75:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |   for(int i = 0; i < connected.size(); i++) vis[i] = 0;
      |                  ~~^~~~~~~~~~~~~~~~~~
supertrees.cpp:77:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   77 |   for(int i = 0; i < connected.size(); i++) if (!vis[i]) {
      |                  ~~^~~~~~~~~~~~~~~~~~
supertrees.cpp:85:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   85 |     for(int i = 1; i < arr.size(); i++) {
      |                    ~~^~~~~~~~~~~~
supertrees.cpp: In instantiation of 'construct(std::vector<std::vector<int> >)::<lambda(auto:24, int, int)> [with auto:24 = construct(std::vector<std::vector<int> >)::<lambda(auto:24, int, int)>]':
supertrees.cpp:62:20:   required from here
supertrees.cpp:53:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |     for(int v = 0; v < connected.size(); v++) if (!vis[v] && p[connected[u][0]][connected[v][0]] == c) {
      |                    ~~^~~~~~~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 6 ms 1184 KB Output is correct
7 Correct 150 ms 24000 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 6 ms 1184 KB Output is correct
7 Correct 150 ms 24000 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 7 ms 1372 KB Output is correct
13 Correct 158 ms 24092 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 4 ms 860 KB Output is correct
17 Correct 63 ms 14160 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 44 ms 6644 KB Output is correct
21 Correct 149 ms 24144 KB Output is correct
22 Correct 151 ms 24104 KB Output is correct
23 Correct 153 ms 24084 KB Output is correct
24 Correct 162 ms 23996 KB Output is correct
25 Correct 61 ms 14164 KB Output is correct
26 Correct 62 ms 14160 KB Output is correct
27 Correct 167 ms 24148 KB Output is correct
28 Correct 148 ms 24200 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 7 ms 1364 KB Output is correct
9 Correct 152 ms 24116 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 7 ms 1368 KB Output is correct
13 Correct 153 ms 24228 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 4 ms 860 KB Output is correct
17 Correct 66 ms 14076 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 40 ms 6372 KB Output is correct
22 Correct 164 ms 23828 KB Output is correct
23 Correct 174 ms 23888 KB Output is correct
24 Correct 155 ms 23892 KB Output is correct
25 Correct 63 ms 13936 KB Output is correct
26 Correct 64 ms 14088 KB Output is correct
27 Correct 152 ms 24016 KB Output is correct
28 Correct 156 ms 23952 KB Output is correct
29 Correct 73 ms 13984 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 38 ms 6212 KB Output is correct
5 Correct 149 ms 23960 KB Output is correct
6 Correct 156 ms 24144 KB Output is correct
7 Correct 159 ms 24184 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 38 ms 6224 KB Output is correct
10 Correct 169 ms 24144 KB Output is correct
11 Correct 150 ms 24144 KB Output is correct
12 Correct 156 ms 24052 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 38 ms 6212 KB Output is correct
17 Correct 162 ms 22868 KB Output is correct
18 Correct 155 ms 24180 KB Output is correct
19 Correct 153 ms 23656 KB Output is correct
20 Correct 169 ms 24188 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 6 ms 1184 KB Output is correct
7 Correct 150 ms 24000 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 7 ms 1372 KB Output is correct
13 Correct 158 ms 24092 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 4 ms 860 KB Output is correct
17 Correct 63 ms 14160 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 44 ms 6644 KB Output is correct
21 Correct 149 ms 24144 KB Output is correct
22 Correct 151 ms 24104 KB Output is correct
23 Correct 153 ms 24084 KB Output is correct
24 Correct 162 ms 23996 KB Output is correct
25 Correct 61 ms 14164 KB Output is correct
26 Correct 62 ms 14160 KB Output is correct
27 Correct 167 ms 24148 KB Output is correct
28 Correct 148 ms 24200 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 7 ms 1364 KB Output is correct
37 Correct 152 ms 24116 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 7 ms 1368 KB Output is correct
41 Correct 153 ms 24228 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 4 ms 860 KB Output is correct
45 Correct 66 ms 14076 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 40 ms 6372 KB Output is correct
50 Correct 164 ms 23828 KB Output is correct
51 Correct 174 ms 23888 KB Output is correct
52 Correct 155 ms 23892 KB Output is correct
53 Correct 63 ms 13936 KB Output is correct
54 Correct 64 ms 14088 KB Output is correct
55 Correct 152 ms 24016 KB Output is correct
56 Correct 156 ms 23952 KB Output is correct
57 Correct 73 ms 13984 KB Output is correct
58 Correct 1 ms 432 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 3 ms 860 KB Output is correct
61 Correct 67 ms 13904 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 432 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 39 ms 6260 KB Output is correct
66 Correct 60 ms 13908 KB Output is correct
67 Correct 59 ms 13908 KB Output is correct
68 Correct 68 ms 13908 KB Output is correct
69 Correct 67 ms 13908 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 440 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 6 ms 1184 KB Output is correct
7 Correct 150 ms 24000 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 7 ms 1372 KB Output is correct
13 Correct 158 ms 24092 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 4 ms 860 KB Output is correct
17 Correct 63 ms 14160 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 44 ms 6644 KB Output is correct
21 Correct 149 ms 24144 KB Output is correct
22 Correct 151 ms 24104 KB Output is correct
23 Correct 153 ms 24084 KB Output is correct
24 Correct 162 ms 23996 KB Output is correct
25 Correct 61 ms 14164 KB Output is correct
26 Correct 62 ms 14160 KB Output is correct
27 Correct 167 ms 24148 KB Output is correct
28 Correct 148 ms 24200 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 7 ms 1364 KB Output is correct
37 Correct 152 ms 24116 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 7 ms 1368 KB Output is correct
41 Correct 153 ms 24228 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 4 ms 860 KB Output is correct
45 Correct 66 ms 14076 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 40 ms 6372 KB Output is correct
50 Correct 164 ms 23828 KB Output is correct
51 Correct 174 ms 23888 KB Output is correct
52 Correct 155 ms 23892 KB Output is correct
53 Correct 63 ms 13936 KB Output is correct
54 Correct 64 ms 14088 KB Output is correct
55 Correct 152 ms 24016 KB Output is correct
56 Correct 156 ms 23952 KB Output is correct
57 Correct 73 ms 13984 KB Output is correct
58 Correct 0 ms 344 KB Output is correct
59 Correct 0 ms 344 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 38 ms 6212 KB Output is correct
62 Correct 149 ms 23960 KB Output is correct
63 Correct 156 ms 24144 KB Output is correct
64 Correct 159 ms 24184 KB Output is correct
65 Correct 1 ms 344 KB Output is correct
66 Correct 38 ms 6224 KB Output is correct
67 Correct 169 ms 24144 KB Output is correct
68 Correct 150 ms 24144 KB Output is correct
69 Correct 156 ms 24052 KB Output is correct
70 Correct 0 ms 344 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 38 ms 6212 KB Output is correct
74 Correct 162 ms 22868 KB Output is correct
75 Correct 155 ms 24180 KB Output is correct
76 Correct 153 ms 23656 KB Output is correct
77 Correct 169 ms 24188 KB Output is correct
78 Correct 1 ms 432 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 3 ms 860 KB Output is correct
81 Correct 67 ms 13904 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 432 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 39 ms 6260 KB Output is correct
86 Correct 60 ms 13908 KB Output is correct
87 Correct 59 ms 13908 KB Output is correct
88 Correct 68 ms 13908 KB Output is correct
89 Correct 67 ms 13908 KB Output is correct
90 Correct 1 ms 344 KB Output is correct
91 Correct 0 ms 600 KB Output is correct
92 Correct 3 ms 860 KB Output is correct
93 Correct 65 ms 14340 KB Output is correct
94 Correct 0 ms 348 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 19 ms 3932 KB Output is correct
98 Correct 67 ms 14072 KB Output is correct
99 Correct 64 ms 14204 KB Output is correct
100 Correct 60 ms 14160 KB Output is correct
101 Correct 65 ms 14072 KB Output is correct
102 Correct 64 ms 14344 KB Output is correct
103 Correct 65 ms 14164 KB Output is correct
104 Correct 62 ms 14160 KB Output is correct
105 Correct 71 ms 14264 KB Output is correct