Submission #223824

# Submission time Handle Problem Language Result Execution time Memory
223824 2020-04-16T14:07:27 Z jk_ Political Development (BOI17_politicaldevelopment) C++14
100 / 100
199 ms 10852 KB
#include <bits/stdc++.h>  // score: 100
using namespace std;

int clique_n;
array<bitset<10>, 10> adjmat;
vector<uint8_t> selected;
int largest_clique(int i) {
  if (i == clique_n)
    return selected.size();
  int best = largest_clique(i+1);  // skip i

  bool can_take_i = true;
  for (auto j : selected) {
    if (!adjmat[i][j]) {
      can_take_i = false;
      break;
    }
  }
  if (can_take_i) {
    selected.push_back(i);
    best = max(best, largest_clique(i)); // take i
    selected.pop_back();
  }
  return best;
}

signed main() {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);

  int n, k; cin >> n >> k;
  vector<vector<int>> g(n);
  vector<int> degree(n);
  for (int i = 0; i < n; ++i) {
    cin >> degree[i];
    for (int j = 0; j < degree[i]; ++j) {
      int b; cin >> b;
      g[i].push_back(b);
    }
  }
  vector<bool> removed(n);
  priority_queue<pair<size_t, int>,
		 vector<pair<size_t, int>>,
		 greater<>> pq;
  for (int i = 0; i < n; ++i)
    pq.emplace(degree[i], i);
  for (auto& v : g)
    sort(v.begin(), v.end());
  
  auto has_edge = [&](int a, int b) { return binary_search(g[a].begin(), g[a].end(), b); };
  int best = 1;
  
  while (!pq.empty()) {
    auto [_, i] = pq.top();
    pq.pop();
    if (removed[i])
      continue;
    removed[i] = true;
    vector<int> nbs = g[i];
    nbs.erase(remove_if(nbs.begin(), nbs.end(), [&](int v){ return removed[v]; }), nbs.end());
    
    adjmat = {};
    selected.clear();
    clique_n = nbs.size();
    for (size_t i = 0; i < nbs.size(); ++i) {
      for (size_t j = 0; j < nbs.size(); ++j) {
	if (i != j)
	  adjmat[i][j] = has_edge(nbs[i], nbs[j]);
      }
    }
    best = max(best, 1+largest_clique(0));   // 1+ because we always take i itself
    for (auto j : nbs) {
      --degree[j];
      pq.emplace(degree[j], j);
    }
  }
  cout << best << '\n';
}

Compilation message

politicaldevelopment.cpp: In function 'int main()':
politicaldevelopment.cpp:54:10: warning: decomposition declaration only available with -std=c++1z or -std=gnu++1z
     auto [_, i] = pq.top();
          ^
politicaldevelopment.cpp:54:15: warning: unused variable '_' [-Wunused-variable]
     auto [_, i] = pq.top();
               ^
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 8 ms 896 KB Output is correct
4 Correct 8 ms 896 KB Output is correct
5 Correct 8 ms 896 KB Output is correct
6 Correct 8 ms 896 KB Output is correct
7 Correct 8 ms 896 KB Output is correct
8 Correct 6 ms 768 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 6 ms 640 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 8 ms 896 KB Output is correct
4 Correct 8 ms 896 KB Output is correct
5 Correct 8 ms 896 KB Output is correct
6 Correct 8 ms 896 KB Output is correct
7 Correct 8 ms 896 KB Output is correct
8 Correct 6 ms 768 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 6 ms 640 KB Output is correct
11 Correct 8 ms 896 KB Output is correct
12 Correct 8 ms 1024 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 8 ms 896 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 11 ms 896 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 8 ms 896 KB Output is correct
19 Correct 6 ms 640 KB Output is correct
20 Correct 7 ms 896 KB Output is correct
21 Correct 9 ms 1024 KB Output is correct
22 Correct 5 ms 768 KB Output is correct
23 Correct 9 ms 896 KB Output is correct
24 Correct 6 ms 640 KB Output is correct
25 Correct 9 ms 896 KB Output is correct
26 Correct 9 ms 896 KB Output is correct
27 Correct 8 ms 896 KB Output is correct
28 Correct 9 ms 896 KB Output is correct
29 Correct 8 ms 896 KB Output is correct
30 Correct 9 ms 1024 KB Output is correct
31 Correct 9 ms 896 KB Output is correct
32 Correct 9 ms 1024 KB Output is correct
33 Correct 10 ms 896 KB Output is correct
34 Correct 10 ms 896 KB Output is correct
35 Correct 7 ms 640 KB Output is correct
36 Correct 7 ms 640 KB Output is correct
37 Correct 7 ms 640 KB Output is correct
38 Correct 6 ms 512 KB Output is correct
39 Correct 6 ms 512 KB Output is correct
40 Correct 11 ms 1152 KB Output is correct
41 Correct 6 ms 512 KB Output is correct
42 Correct 11 ms 1152 KB Output is correct
43 Correct 12 ms 1152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 640 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 193 ms 10216 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 184 ms 10088 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 185 ms 10088 KB Output is correct
16 Correct 199 ms 10216 KB Output is correct
17 Correct 183 ms 10192 KB Output is correct
18 Correct 183 ms 10088 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 8 ms 896 KB Output is correct
4 Correct 8 ms 896 KB Output is correct
5 Correct 8 ms 896 KB Output is correct
6 Correct 8 ms 896 KB Output is correct
7 Correct 8 ms 896 KB Output is correct
8 Correct 6 ms 768 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 6 ms 640 KB Output is correct
11 Correct 8 ms 896 KB Output is correct
12 Correct 8 ms 1024 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 8 ms 896 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 11 ms 896 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 8 ms 896 KB Output is correct
19 Correct 6 ms 640 KB Output is correct
20 Correct 7 ms 896 KB Output is correct
21 Correct 9 ms 1024 KB Output is correct
22 Correct 5 ms 768 KB Output is correct
23 Correct 9 ms 896 KB Output is correct
24 Correct 6 ms 640 KB Output is correct
25 Correct 9 ms 896 KB Output is correct
26 Correct 9 ms 896 KB Output is correct
27 Correct 8 ms 896 KB Output is correct
28 Correct 9 ms 896 KB Output is correct
29 Correct 8 ms 896 KB Output is correct
30 Correct 9 ms 1024 KB Output is correct
31 Correct 9 ms 896 KB Output is correct
32 Correct 9 ms 1024 KB Output is correct
33 Correct 10 ms 896 KB Output is correct
34 Correct 10 ms 896 KB Output is correct
35 Correct 7 ms 640 KB Output is correct
36 Correct 7 ms 640 KB Output is correct
37 Correct 7 ms 640 KB Output is correct
38 Correct 6 ms 512 KB Output is correct
39 Correct 6 ms 512 KB Output is correct
40 Correct 11 ms 1152 KB Output is correct
41 Correct 6 ms 512 KB Output is correct
42 Correct 11 ms 1152 KB Output is correct
43 Correct 12 ms 1152 KB Output is correct
44 Correct 24 ms 1152 KB Output is correct
45 Correct 4 ms 384 KB Output is correct
46 Correct 11 ms 1152 KB Output is correct
47 Correct 19 ms 1664 KB Output is correct
48 Correct 11 ms 1152 KB Output is correct
49 Correct 18 ms 1664 KB Output is correct
50 Correct 19 ms 1664 KB Output is correct
51 Correct 37 ms 2556 KB Output is correct
52 Correct 9 ms 896 KB Output is correct
53 Correct 38 ms 2680 KB Output is correct
54 Correct 44 ms 2672 KB Output is correct
55 Correct 8 ms 896 KB Output is correct
56 Correct 8 ms 896 KB Output is correct
57 Correct 6 ms 768 KB Output is correct
58 Correct 34 ms 2680 KB Output is correct
59 Correct 11 ms 896 KB Output is correct
60 Correct 8 ms 896 KB Output is correct
61 Correct 11 ms 896 KB Output is correct
62 Correct 11 ms 896 KB Output is correct
63 Correct 21 ms 1152 KB Output is correct
64 Correct 17 ms 1152 KB Output is correct
65 Correct 11 ms 1152 KB Output is correct
66 Correct 11 ms 896 KB Output is correct
67 Correct 23 ms 1660 KB Output is correct
68 Correct 17 ms 1152 KB Output is correct
69 Correct 11 ms 1152 KB Output is correct
70 Correct 17 ms 1280 KB Output is correct
71 Correct 23 ms 1660 KB Output is correct
72 Correct 22 ms 1660 KB Output is correct
73 Correct 8 ms 896 KB Output is correct
74 Correct 17 ms 1280 KB Output is correct
75 Correct 21 ms 1660 KB Output is correct
76 Correct 14 ms 1280 KB Output is correct
77 Correct 25 ms 1792 KB Output is correct
78 Correct 8 ms 896 KB Output is correct
79 Correct 15 ms 1152 KB Output is correct
80 Correct 14 ms 1280 KB Output is correct
81 Correct 25 ms 2084 KB Output is correct
82 Correct 6 ms 512 KB Output is correct
83 Correct 21 ms 1152 KB Output is correct
84 Correct 20 ms 1792 KB Output is correct
85 Correct 6 ms 640 KB Output is correct
86 Correct 20 ms 1792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 8 ms 896 KB Output is correct
4 Correct 8 ms 896 KB Output is correct
5 Correct 8 ms 896 KB Output is correct
6 Correct 8 ms 896 KB Output is correct
7 Correct 8 ms 896 KB Output is correct
8 Correct 6 ms 768 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 6 ms 640 KB Output is correct
11 Correct 8 ms 896 KB Output is correct
12 Correct 8 ms 1024 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 8 ms 896 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 11 ms 896 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 8 ms 896 KB Output is correct
19 Correct 6 ms 640 KB Output is correct
20 Correct 7 ms 896 KB Output is correct
21 Correct 9 ms 1024 KB Output is correct
22 Correct 5 ms 768 KB Output is correct
23 Correct 9 ms 896 KB Output is correct
24 Correct 6 ms 640 KB Output is correct
25 Correct 9 ms 896 KB Output is correct
26 Correct 9 ms 896 KB Output is correct
27 Correct 8 ms 896 KB Output is correct
28 Correct 9 ms 896 KB Output is correct
29 Correct 8 ms 896 KB Output is correct
30 Correct 9 ms 1024 KB Output is correct
31 Correct 9 ms 896 KB Output is correct
32 Correct 9 ms 1024 KB Output is correct
33 Correct 10 ms 896 KB Output is correct
34 Correct 10 ms 896 KB Output is correct
35 Correct 7 ms 640 KB Output is correct
36 Correct 7 ms 640 KB Output is correct
37 Correct 7 ms 640 KB Output is correct
38 Correct 6 ms 512 KB Output is correct
39 Correct 6 ms 512 KB Output is correct
40 Correct 11 ms 1152 KB Output is correct
41 Correct 6 ms 512 KB Output is correct
42 Correct 11 ms 1152 KB Output is correct
43 Correct 12 ms 1152 KB Output is correct
44 Correct 4 ms 384 KB Output is correct
45 Correct 124 ms 10088 KB Output is correct
46 Correct 62 ms 5500 KB Output is correct
47 Correct 128 ms 10092 KB Output is correct
48 Correct 125 ms 10088 KB Output is correct
49 Correct 39 ms 5496 KB Output is correct
50 Correct 131 ms 10724 KB Output is correct
51 Correct 124 ms 10220 KB Output is correct
52 Correct 41 ms 5368 KB Output is correct
53 Correct 39 ms 5368 KB Output is correct
54 Correct 13 ms 2940 KB Output is correct
55 Correct 133 ms 10852 KB Output is correct
56 Correct 30 ms 4860 KB Output is correct
57 Correct 41 ms 5368 KB Output is correct
58 Correct 57 ms 5492 KB Output is correct
59 Correct 29 ms 4860 KB Output is correct
60 Correct 36 ms 4860 KB Output is correct
61 Correct 57 ms 5444 KB Output is correct
62 Correct 44 ms 5116 KB Output is correct
63 Correct 80 ms 7020 KB Output is correct
64 Correct 30 ms 4860 KB Output is correct
65 Correct 92 ms 7280 KB Output is correct
66 Correct 44 ms 5116 KB Output is correct
67 Correct 73 ms 6764 KB Output is correct
68 Correct 87 ms 7144 KB Output is correct
69 Correct 95 ms 7412 KB Output is correct
70 Correct 41 ms 5116 KB Output is correct
71 Correct 86 ms 7148 KB Output is correct
72 Correct 70 ms 6768 KB Output is correct
73 Correct 100 ms 7532 KB Output is correct
74 Correct 45 ms 5116 KB Output is correct
75 Correct 39 ms 3700 KB Output is correct
76 Correct 72 ms 6832 KB Output is correct
77 Correct 98 ms 7532 KB Output is correct
78 Correct 51 ms 3952 KB Output is correct
79 Correct 39 ms 3704 KB Output is correct
80 Correct 21 ms 2172 KB Output is correct
81 Correct 51 ms 3952 KB Output is correct
82 Correct 77 ms 6768 KB Output is correct
83 Correct 21 ms 2080 KB Output is correct
84 Correct 77 ms 6768 KB Output is correct