oj.uz

Submission #319959

# Submission time Handle Problem Language Result Execution time Memory
319959 2020-11-06T23:50:42 Z eriksuenderhauf Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 283 ms 24420 KB 
#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;
int par[1005], inTree[1005];
vector<int> cyc[1005], tree[1005];

int qry(int x) { return x == par[x] ? x : par[x] = qry(par[x]); }
void join(int x, int y) { par[qry(x)] = qry(y); }

int construct(vector<vector<int>> p) {
  auto check_connectivity = [&](int n) {
    iota(par, par+n, 0);
    for (int i = 0; i < n; i++)
      for (int j = 0; j < n; j++)
        if (p[i][j] != 0)
          join(i, j);
    for (int i = 0; i < n; i++)
      for (int j = i+1; j < n; j++)
        if (p[i][j] == 0 && qry(i) == qry(j))
          return 0;
    return 1;
  };
  auto connect = [&](int n, int t) {
    iota(par, par+n, 0);
    for (int i = 0; i < n; i++)
      for (int j = 0; j < n; j++)
        if (p[i][j] == t)
          join(i, j);
  };
  int n = p.size();
  for (int i = 0; i < n; i++)
    for (int j = 0; j < n; j++)
      if (p[i][j] > 2 || p[i][j] != p[j][i])
        return 0;
  if (!check_connectivity(n))
    return 0;
  connect(n, 2);
  for (int i = 0; i < n; i++)
    cyc[qry(i)].push_back(i);
  connect(n, 1);
  for (int i = 0; i < n; i++)
    tree[qry(i)].push_back(i);
  vector<vector<int>> ans(n, vector<int>(n, 0));
  for (int i = 0; i < n; i++) {
    if (int(tree[i].size()) <= 1)
      continue;
    int l = -1;
    for (int j: tree[i]) {
      for (int k: tree[i])
        if (p[j][k] != 1)
          return 0;
      if (l != -1)
        ans[l][j] = ans[j][l] = 1;
      l = j, inTree[j] = 1;
    }
  }
  for (int i = 0; i < n; i++) {
    if (int(cyc[i].size()) <= 1)
      continue;
    vector<int> nx;
    for (int j: cyc[i]) {
      if (!inTree[j])
        nx.push_back(j);
      else if (qry(j) == j)
        nx.push_back(j);
    }
    if (int(nx.size()) <= 2)
      return 0;
    int l = -1;
    for (int j: nx) {
      if (l != -1)
        ans[l][j] = ans[j][l] = 1;
      l = j;
    }
    ans[l][nx[0]] = ans[nx[0]][l] = 1;
  }
  build(ans);
  return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 1388 KB Output is correct
7 Correct 265 ms 24420 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 1388 KB Output is correct
7 Correct 265 ms 24420 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 492 KB Output is correct
12 Correct 10 ms 1388 KB Output is correct
13 Correct 253 ms 24164 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 396 KB Output is correct
16 Correct 6 ms 876 KB Output is correct
17 Correct 122 ms 10212 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 63 ms 6372 KB Output is correct
21 Correct 272 ms 24164 KB Output is correct
22 Correct 252 ms 24164 KB Output is correct
23 Correct 280 ms 24208 KB Output is correct
24 Correct 253 ms 24164 KB Output is correct
25 Correct 111 ms 10356 KB Output is correct
26 Correct 104 ms 10212 KB Output is correct
27 Correct 278 ms 24192 KB Output is correct
28 Correct 264 ms 24420 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 12 ms 1388 KB Output is correct
9 Correct 248 ms 24164 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 492 KB Output is correct
12 Correct 11 ms 1388 KB Output is correct
13 Correct 261 ms 24164 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 6 ms 748 KB Output is correct
17 Correct 129 ms 10340 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 492 KB Output is correct
21 Correct 69 ms 6504 KB Output is correct
22 Correct 265 ms 24160 KB Output is correct
23 Correct 251 ms 24308 KB Output is correct
24 Correct 276 ms 24164 KB Output is correct
25 Correct 115 ms 14180 KB Output is correct
26 Correct 106 ms 10212 KB Output is correct
27 Correct 253 ms 24164 KB Output is correct
28 Correct 283 ms 24420 KB Output is correct
29 Correct 119 ms 14304 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 64 ms 6376 KB Output is correct
5 Correct 264 ms 24164 KB Output is correct
6 Correct 254 ms 24292 KB Output is correct
7 Correct 282 ms 24164 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 68 ms 6372 KB Output is correct
10 Correct 259 ms 24164 KB Output is correct
11 Correct 251 ms 24164 KB Output is correct
12 Correct 280 ms 24164 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 79 ms 6372 KB Output is correct
17 Correct 254 ms 24164 KB Output is correct
18 Correct 257 ms 24164 KB Output is correct
19 Correct 258 ms 24164 KB Output is correct
20 Correct 249 ms 24292 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 1388 KB Output is correct
7 Correct 265 ms 24420 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 492 KB Output is correct
12 Correct 10 ms 1388 KB Output is correct
13 Correct 253 ms 24164 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 396 KB Output is correct
16 Correct 6 ms 876 KB Output is correct
17 Correct 122 ms 10212 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 63 ms 6372 KB Output is correct
21 Correct 272 ms 24164 KB Output is correct
22 Correct 252 ms 24164 KB Output is correct
23 Correct 280 ms 24208 KB Output is correct
24 Correct 253 ms 24164 KB Output is correct
25 Correct 111 ms 10356 KB Output is correct
26 Correct 104 ms 10212 KB Output is correct
27 Correct 278 ms 24192 KB Output is correct
28 Correct 264 ms 24420 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 12 ms 1388 KB Output is correct
37 Correct 248 ms 24164 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 11 ms 1388 KB Output is correct
41 Correct 261 ms 24164 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 6 ms 748 KB Output is correct
45 Correct 129 ms 10340 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 492 KB Output is correct
49 Correct 69 ms 6504 KB Output is correct
50 Correct 265 ms 24160 KB Output is correct
51 Correct 251 ms 24308 KB Output is correct
52 Correct 276 ms 24164 KB Output is correct
53 Correct 115 ms 14180 KB Output is correct
54 Correct 106 ms 10212 KB Output is correct
55 Correct 253 ms 24164 KB Output is correct
56 Correct 283 ms 24420 KB Output is correct
57 Correct 119 ms 14304 KB Output is correct
58 Correct 1 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 5 ms 876 KB Output is correct
61 Correct 116 ms 10212 KB Output is correct
62 Correct 1 ms 492 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 63 ms 6372 KB Output is correct
66 Correct 108 ms 10212 KB Output is correct
67 Correct 113 ms 10212 KB Output is correct
68 Correct 104 ms 10340 KB Output is correct
69 Correct 113 ms 14228 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 11 ms 1388 KB Output is correct
7 Correct 265 ms 24420 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 492 KB Output is correct
12 Correct 10 ms 1388 KB Output is correct
13 Correct 253 ms 24164 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 396 KB Output is correct
16 Correct 6 ms 876 KB Output is correct
17 Correct 122 ms 10212 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 63 ms 6372 KB Output is correct
21 Correct 272 ms 24164 KB Output is correct
22 Correct 252 ms 24164 KB Output is correct
23 Correct 280 ms 24208 KB Output is correct
24 Correct 253 ms 24164 KB Output is correct
25 Correct 111 ms 10356 KB Output is correct
26 Correct 104 ms 10212 KB Output is correct
27 Correct 278 ms 24192 KB Output is correct
28 Correct 264 ms 24420 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 492 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 12 ms 1388 KB Output is correct
37 Correct 248 ms 24164 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 492 KB Output is correct
40 Correct 11 ms 1388 KB Output is correct
41 Correct 261 ms 24164 KB Output is correct
42 Correct 1 ms 492 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 6 ms 748 KB Output is correct
45 Correct 129 ms 10340 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 492 KB Output is correct
49 Correct 69 ms 6504 KB Output is correct
50 Correct 265 ms 24160 KB Output is correct
51 Correct 251 ms 24308 KB Output is correct
52 Correct 276 ms 24164 KB Output is correct
53 Correct 115 ms 14180 KB Output is correct
54 Correct 106 ms 10212 KB Output is correct
55 Correct 253 ms 24164 KB Output is correct
56 Correct 283 ms 24420 KB Output is correct
57 Correct 119 ms 14304 KB Output is correct
58 Correct 1 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 64 ms 6376 KB Output is correct
62 Correct 264 ms 24164 KB Output is correct
63 Correct 254 ms 24292 KB Output is correct
64 Correct 282 ms 24164 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 68 ms 6372 KB Output is correct
67 Correct 259 ms 24164 KB Output is correct
68 Correct 251 ms 24164 KB Output is correct
69 Correct 280 ms 24164 KB Output is correct
70 Correct 1 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 1 ms 364 KB Output is correct
73 Correct 79 ms 6372 KB Output is correct
74 Correct 254 ms 24164 KB Output is correct
75 Correct 257 ms 24164 KB Output is correct
76 Correct 258 ms 24164 KB Output is correct
77 Correct 249 ms 24292 KB Output is correct
78 Correct 1 ms 364 KB Output is correct
79 Correct 1 ms 364 KB Output is correct
80 Correct 5 ms 876 KB Output is correct
81 Correct 116 ms 10212 KB Output is correct
82 Correct 1 ms 492 KB Output is correct
83 Correct 1 ms 364 KB Output is correct
84 Correct 1 ms 364 KB Output is correct
85 Correct 63 ms 6372 KB Output is correct
86 Correct 108 ms 10212 KB Output is correct
87 Correct 113 ms 10212 KB Output is correct
88 Correct 104 ms 10340 KB Output is correct
89 Correct 113 ms 14228 KB Output is correct
90 Correct 1 ms 364 KB Output is correct
91 Correct 1 ms 364 KB Output is correct
92 Correct 5 ms 748 KB Output is correct
93 Correct 103 ms 10244 KB Output is correct
94 Correct 1 ms 364 KB Output is correct
95 Correct 1 ms 364 KB Output is correct
96 Correct 1 ms 364 KB Output is correct
97 Correct 25 ms 2788 KB Output is correct
98 Correct 103 ms 10212 KB Output is correct
99 Correct 103 ms 10212 KB Output is correct
100 Correct 100 ms 10212 KB Output is correct
101 Correct 105 ms 10212 KB Output is correct
102 Correct 105 ms 10212 KB Output is correct
103 Correct 102 ms 10212 KB Output is correct
104 Correct 103 ms 10340 KB Output is correct
105 Correct 108 ms 10216 KB Output is correct