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Submission #411774

# Submission time Handle Problem Language Result Execution time Memory
411774 2021-05-25T21:53:20 Z SuhaibSawalha1 Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 254 ms 24180 KB 
#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;
 
struct DSU {
 
  vector<int> dsu, sz;
 
  DSU (int n) {
    dsu.resize(n);
    iota(dsu.begin(), dsu.end(), 0);
    sz.resize(n, 1);
  }
 
  int find (int u) {
    return u == dsu[u] ? u : dsu[u] = find(dsu[u]);
  }
 
  bool unite (int u, int v) {
    if ((u = find(u)) != (v = find(v))) {
      if (sz[u] < sz[v]) {
        swap(u, v);
      }
      dsu[v] = u;
      sz[u] += sz[v];
      return 1;
    }
    return 0;
  }
};
    
int construct(vector<vector<int>> p) {
  int n = p.size();
  for (int i = 0; i < n; ++i) {
  	if (count(p[i].begin(), p[i].end(), 3)) {
  		return 0;
  	}
  }
  vector<vector<int>> ans(n, vector<int>(n));
  DSU nodes(n);
  bool two = 0;
  auto sit = [&] (int i, int j, int t) {
    ans[i][j] = ans[j][i] = t;
  };
  for (int i = 0; i < n; ++i) {
    for (int j = i + 1; j < n; ++j) {
      if (p[i][j] == 1) {
        sit(i, j, nodes.unite(i, j));
      }
    }
  }
  for (int i = 0; i < n; ++i) {
    for (int j = 0; j < n; ++j) {
      if (p[i][j] == 0 && nodes.find(i) == nodes.find(j)) {
        return 0;
      }
    }
  }
  vector<vector<int>> c(n);
  for (int i = 0; i < n; ++i) {
    c[nodes.find(i)].push_back(i);
  }
  DSU cmp(n);
  for (int i = 0; i < n; ++i) {
    for (int j = 0; j < n; ++j) {
      if (p[i][j] == 2) {
        cmp.unite(nodes.find(i), nodes.find(j));
      }
    }
  }
  vector<vector<int>> C(n);
  for (int i = 0; i < n; ++i) {
    C[cmp.find(i)].push_back(i);
  }
  for (int i = 0; i < n; ++i) {
    if (i != cmp.find(i)) {
      continue;
    }
    for (int j = 0; j < n; ++j) {
      if (nodes.find(i) != nodes.find(j) && cmp.find(i) == cmp.find(j) && p[i][j] != 2) {
        return 0;
      }
    }
    for (int j : c[i]) {
      for (int k = 0; k < n; ++k) {
        if ((p[k][i] == 2) ^ (p[j][k] == 2)) {
          return 0;
        }
      }
    }
    for (int j = 0; j < C[i].size(); ++j) {
      for (int k = j + 1; k < C[i].size(); ++k) {
        if (p[C[i][j]][C[i][k]] ^ 2) {
          return 0;
        }
      }
    }
    if (C[i].size() == 2) {
      return 0;
    }
    if (C[i].size() > 2) {
      sit(C[i][0], C[i][1], 1);
      sit(C[i][1], C[i][2], 1);
      for (int j = 3; j < C[i].size(); ++j) {
        sit(C[i][j], C[i][j - 1], 1);
      }
      sit(C[i].back(), C[i][0], 1);
    }
  }
  build(ans);
  return 1;
}

Compilation message

supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:91:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   91 |     for (int j = 0; j < C[i].size(); ++j) {
      |                     ~~^~~~~~~~~~~~~
supertrees.cpp:92:29: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   92 |       for (int k = j + 1; k < C[i].size(); ++k) {
      |                           ~~^~~~~~~~~~~~~
supertrees.cpp:104:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  104 |       for (int j = 3; j < C[i].size(); ++j) {
      |                       ~~^~~~~~~~~~~~~
supertrees.cpp:41:8: warning: unused variable 'two' [-Wunused-variable]
   41 |   bool two = 0;
      |        ^~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 288 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 292 KB Output is correct
4 Correct 1 ms 296 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1228 KB Output is correct
7 Correct 234 ms 24080 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 288 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 292 KB Output is correct
4 Correct 1 ms 296 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1228 KB Output is correct
7 Correct 234 ms 24080 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 292 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1172 KB Output is correct
13 Correct 228 ms 24084 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 784 KB Output is correct
17 Correct 102 ms 14072 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 60 ms 6256 KB Output is correct
21 Correct 240 ms 24032 KB Output is correct
22 Correct 242 ms 24004 KB Output is correct
23 Correct 254 ms 24056 KB Output is correct
24 Correct 238 ms 24132 KB Output is correct
25 Correct 93 ms 14060 KB Output is correct
26 Correct 91 ms 14068 KB Output is correct
27 Correct 246 ms 24180 KB Output is correct
28 Correct 229 ms 24052 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 2 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 10 ms 1228 KB Output is correct
9 Correct 227 ms 24040 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 292 KB Output is correct
12 Correct 10 ms 1228 KB Output is correct
13 Correct 227 ms 24052 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 844 KB Output is correct
17 Correct 122 ms 14072 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 292 KB Output is correct
20 Correct 1 ms 292 KB Output is correct
21 Correct 57 ms 6224 KB Output is correct
22 Correct 225 ms 24004 KB Output is correct
23 Correct 226 ms 24004 KB Output is correct
24 Correct 237 ms 24008 KB Output is correct
25 Correct 98 ms 14184 KB Output is correct
26 Correct 101 ms 14076 KB Output is correct
27 Correct 226 ms 24052 KB Output is correct
28 Correct 237 ms 24004 KB Output is correct
29 Correct 106 ms 14148 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 60 ms 6208 KB Output is correct
5 Correct 234 ms 24004 KB Output is correct
6 Correct 233 ms 24004 KB Output is correct
7 Correct 247 ms 24072 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 57 ms 6244 KB Output is correct
10 Correct 226 ms 24056 KB Output is correct
11 Correct 224 ms 24004 KB Output is correct
12 Correct 241 ms 24060 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 58 ms 6248 KB Output is correct
17 Correct 232 ms 24140 KB Output is correct
18 Correct 234 ms 24004 KB Output is correct
19 Correct 236 ms 24036 KB Output is correct
20 Correct 233 ms 24028 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 288 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 292 KB Output is correct
4 Correct 1 ms 296 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1228 KB Output is correct
7 Correct 234 ms 24080 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 292 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1172 KB Output is correct
13 Correct 228 ms 24084 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 784 KB Output is correct
17 Correct 102 ms 14072 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 60 ms 6256 KB Output is correct
21 Correct 240 ms 24032 KB Output is correct
22 Correct 242 ms 24004 KB Output is correct
23 Correct 254 ms 24056 KB Output is correct
24 Correct 238 ms 24132 KB Output is correct
25 Correct 93 ms 14060 KB Output is correct
26 Correct 91 ms 14068 KB Output is correct
27 Correct 246 ms 24180 KB Output is correct
28 Correct 229 ms 24052 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 2 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 10 ms 1228 KB Output is correct
37 Correct 227 ms 24040 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 292 KB Output is correct
40 Correct 10 ms 1228 KB Output is correct
41 Correct 227 ms 24052 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 5 ms 844 KB Output is correct
45 Correct 122 ms 14072 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 292 KB Output is correct
48 Correct 1 ms 292 KB Output is correct
49 Correct 57 ms 6224 KB Output is correct
50 Correct 225 ms 24004 KB Output is correct
51 Correct 226 ms 24004 KB Output is correct
52 Correct 237 ms 24008 KB Output is correct
53 Correct 98 ms 14184 KB Output is correct
54 Correct 101 ms 14076 KB Output is correct
55 Correct 226 ms 24052 KB Output is correct
56 Correct 237 ms 24004 KB Output is correct
57 Correct 106 ms 14148 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 5 ms 844 KB Output is correct
61 Correct 104 ms 14020 KB Output is correct
62 Correct 1 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 1 ms 204 KB Output is correct
65 Correct 58 ms 6256 KB Output is correct
66 Correct 100 ms 14072 KB Output is correct
67 Correct 93 ms 14060 KB Output is correct
68 Correct 100 ms 14188 KB Output is correct
69 Correct 95 ms 14192 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 288 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 292 KB Output is correct
4 Correct 1 ms 296 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 10 ms 1228 KB Output is correct
7 Correct 234 ms 24080 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 292 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 10 ms 1172 KB Output is correct
13 Correct 228 ms 24084 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 784 KB Output is correct
17 Correct 102 ms 14072 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 60 ms 6256 KB Output is correct
21 Correct 240 ms 24032 KB Output is correct
22 Correct 242 ms 24004 KB Output is correct
23 Correct 254 ms 24056 KB Output is correct
24 Correct 238 ms 24132 KB Output is correct
25 Correct 93 ms 14060 KB Output is correct
26 Correct 91 ms 14068 KB Output is correct
27 Correct 246 ms 24180 KB Output is correct
28 Correct 229 ms 24052 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 2 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 10 ms 1228 KB Output is correct
37 Correct 227 ms 24040 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 292 KB Output is correct
40 Correct 10 ms 1228 KB Output is correct
41 Correct 227 ms 24052 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 5 ms 844 KB Output is correct
45 Correct 122 ms 14072 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 292 KB Output is correct
48 Correct 1 ms 292 KB Output is correct
49 Correct 57 ms 6224 KB Output is correct
50 Correct 225 ms 24004 KB Output is correct
51 Correct 226 ms 24004 KB Output is correct
52 Correct 237 ms 24008 KB Output is correct
53 Correct 98 ms 14184 KB Output is correct
54 Correct 101 ms 14076 KB Output is correct
55 Correct 226 ms 24052 KB Output is correct
56 Correct 237 ms 24004 KB Output is correct
57 Correct 106 ms 14148 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 1 ms 204 KB Output is correct
61 Correct 60 ms 6208 KB Output is correct
62 Correct 234 ms 24004 KB Output is correct
63 Correct 233 ms 24004 KB Output is correct
64 Correct 247 ms 24072 KB Output is correct
65 Correct 1 ms 204 KB Output is correct
66 Correct 57 ms 6244 KB Output is correct
67 Correct 226 ms 24056 KB Output is correct
68 Correct 224 ms 24004 KB Output is correct
69 Correct 241 ms 24060 KB Output is correct
70 Correct 1 ms 204 KB Output is correct
71 Correct 1 ms 204 KB Output is correct
72 Correct 1 ms 204 KB Output is correct
73 Correct 58 ms 6248 KB Output is correct
74 Correct 232 ms 24140 KB Output is correct
75 Correct 234 ms 24004 KB Output is correct
76 Correct 236 ms 24036 KB Output is correct
77 Correct 233 ms 24028 KB Output is correct
78 Correct 1 ms 204 KB Output is correct
79 Correct 1 ms 204 KB Output is correct
80 Correct 5 ms 844 KB Output is correct
81 Correct 104 ms 14020 KB Output is correct
82 Correct 1 ms 204 KB Output is correct
83 Correct 1 ms 204 KB Output is correct
84 Correct 1 ms 204 KB Output is correct
85 Correct 58 ms 6256 KB Output is correct
86 Correct 100 ms 14072 KB Output is correct
87 Correct 93 ms 14060 KB Output is correct
88 Correct 100 ms 14188 KB Output is correct
89 Correct 95 ms 14192 KB Output is correct
90 Correct 1 ms 204 KB Output is correct
91 Correct 1 ms 204 KB Output is correct
92 Correct 5 ms 656 KB Output is correct
93 Correct 94 ms 10100 KB Output is correct
94 Correct 1 ms 204 KB Output is correct
95 Correct 1 ms 204 KB Output is correct
96 Correct 1 ms 292 KB Output is correct
97 Correct 23 ms 2664 KB Output is correct
98 Correct 88 ms 10052 KB Output is correct
99 Correct 90 ms 10092 KB Output is correct
100 Correct 88 ms 10104 KB Output is correct
101 Correct 87 ms 10052 KB Output is correct
102 Correct 90 ms 10108 KB Output is correct
103 Correct 88 ms 10092 KB Output is correct
104 Correct 86 ms 10052 KB Output is correct
105 Correct 95 ms 10104 KB Output is correct