Submission #681787

# Submission time Handle Problem Language Result Execution time Memory
681787 2023-01-14T09:54:06 Z peijar Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
1398 ms 252472 KB
#include <bits/extc++.h>
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

struct chash { // large odd number for C
  const uint64_t C = (int)(4e18 * acos(0)) | 71;
  int operator()(int x) const { return __builtin_bswap64(x * C); }
};

using hash_set = __gnu_pbds::gp_hash_table<int, __gnu_pbds::null_type, chash>;

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int nbSommet, nbAretes;
  cin >> nbSommet >> nbAretes;

  vector<map<int, hash_set>> outEdges(nbSommet), inEdges(nbSommet);
  vector<int> inDeg(nbSommet);
  vector<int> idCC(nbSommet), szCC(nbSommet, 1);
  vector<vector<int>> inCC(nbSommet);
  for (int i = 0; i < nbSommet; ++i)
    inCC[i].push_back(i);
  iota(idCC.begin(), idCC.end(), 0LL);

  int nbFollows = 0;

  for (int iArete = 0; iArete < nbAretes; ++iArete) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    v = idCC[v];
    if (idCC[u] == idCC[v] or
        (inEdges[v].count(idCC[u]) and
         inEdges[v][idCC[u]].find(u) != inEdges[v][idCC[u]].end())) {
      cout << nbFollows << '\n';
      continue;
    }
    nbFollows += szCC[v];
    inEdges[v][idCC[u]].insert(u);
    outEdges[idCC[u]][v].insert(u);
    inDeg[v]++;
    u = idCC[u];
    queue<pair<int, int>> toMerge;

    if (outEdges[v].count(u))
      toMerge.emplace(u, v);

    while (!toMerge.empty()) {
      auto [A, B] = toMerge.front();
      toMerge.pop();
      A = idCC[A], B = idCC[B];
      if (A == B)
        continue;
      dbg(A, B);

      if (szCC[A] < szCC[B])
        swap(A, B);

      if (inEdges[A].count(B)) {
        nbFollows -= szCC[A] * inEdges[A][B].size();
        inDeg[A] -= inEdges[A][B].size();
        inEdges[A].erase(B);
        outEdges[B].erase(A);
      }
      if (outEdges[A].count(B)) {
        nbFollows -= szCC[B] * outEdges[A][B].size();
        inDeg[B] -= outEdges[A][B].size();
        outEdges[A].erase(B);
        inEdges[B].erase(A);
      }

      nbFollows += 2 * szCC[A] * szCC[B];
      nbFollows -= inDeg[A] * szCC[A] + inDeg[B] * szCC[B];
      for (auto &[cc, s] : inEdges[B]) {
        for (int y : s) {

          outEdges[cc][B].erase(y);

          if (!inEdges[A].count(cc) or
              inEdges[A][cc].find(y) == inEdges[A][cc].end()) {
            inEdges[A][cc].insert(y), inDeg[A]++;
            outEdges[cc][A].insert(y);
          }
        }
        if (outEdges[A].count(cc))
          toMerge.emplace(A, cc);
      }

      for (auto &[cc, s] : outEdges[B]) {
        for (int y : s) {

          inEdges[cc][B].erase(y);
          inEdges[cc][A].insert(y);
          outEdges[A][cc].insert(y);
        }
        if (inEdges[A].count(cc))
          toMerge.emplace(A, cc);
      }

      szCC[A] += szCC[B];
      nbFollows += szCC[A] * inDeg[A];
      for (int x : inCC[B])
        inCC[A].push_back(x), idCC[x] = A;
    }
    cout << nbFollows << '\n';
  }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 320 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 328 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 324 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 324 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 320 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 328 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 324 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 324 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 3 ms 724 KB Output is correct
35 Correct 77 ms 11540 KB Output is correct
36 Correct 138 ms 22344 KB Output is correct
37 Correct 153 ms 22784 KB Output is correct
38 Correct 122 ms 20904 KB Output is correct
39 Correct 3 ms 724 KB Output is correct
40 Correct 5 ms 1748 KB Output is correct
41 Correct 5 ms 1748 KB Output is correct
42 Correct 3 ms 724 KB Output is correct
43 Correct 5 ms 1364 KB Output is correct
44 Correct 6 ms 1320 KB Output is correct
45 Correct 3 ms 720 KB Output is correct
46 Correct 3 ms 724 KB Output is correct
47 Correct 8 ms 1748 KB Output is correct
48 Correct 6 ms 1804 KB Output is correct
49 Correct 18 ms 6356 KB Output is correct
50 Correct 127 ms 23348 KB Output is correct
51 Correct 14 ms 2516 KB Output is correct
52 Correct 93 ms 15132 KB Output is correct
53 Correct 16 ms 5844 KB Output is correct
54 Correct 109 ms 18956 KB Output is correct
55 Correct 11 ms 3796 KB Output is correct
56 Correct 11 ms 3688 KB Output is correct
57 Correct 9 ms 3436 KB Output is correct
58 Correct 9 ms 3540 KB Output is correct
59 Correct 4 ms 900 KB Output is correct
60 Correct 62 ms 5756 KB Output is correct
61 Correct 8 ms 2388 KB Output is correct
62 Correct 142 ms 20288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 320 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 328 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 324 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 324 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 3 ms 724 KB Output is correct
35 Correct 77 ms 11540 KB Output is correct
36 Correct 138 ms 22344 KB Output is correct
37 Correct 153 ms 22784 KB Output is correct
38 Correct 122 ms 20904 KB Output is correct
39 Correct 3 ms 724 KB Output is correct
40 Correct 5 ms 1748 KB Output is correct
41 Correct 5 ms 1748 KB Output is correct
42 Correct 3 ms 724 KB Output is correct
43 Correct 5 ms 1364 KB Output is correct
44 Correct 6 ms 1320 KB Output is correct
45 Correct 3 ms 720 KB Output is correct
46 Correct 3 ms 724 KB Output is correct
47 Correct 8 ms 1748 KB Output is correct
48 Correct 6 ms 1804 KB Output is correct
49 Correct 18 ms 6356 KB Output is correct
50 Correct 127 ms 23348 KB Output is correct
51 Correct 14 ms 2516 KB Output is correct
52 Correct 93 ms 15132 KB Output is correct
53 Correct 16 ms 5844 KB Output is correct
54 Correct 109 ms 18956 KB Output is correct
55 Correct 11 ms 3796 KB Output is correct
56 Correct 11 ms 3688 KB Output is correct
57 Correct 9 ms 3436 KB Output is correct
58 Correct 9 ms 3540 KB Output is correct
59 Correct 4 ms 900 KB Output is correct
60 Correct 62 ms 5756 KB Output is correct
61 Correct 8 ms 2388 KB Output is correct
62 Correct 142 ms 20288 KB Output is correct
63 Correct 637 ms 201536 KB Output is correct
64 Correct 681 ms 201460 KB Output is correct
65 Correct 664 ms 201564 KB Output is correct
66 Correct 180 ms 22944 KB Output is correct
67 Correct 443 ms 74428 KB Output is correct
68 Correct 180 ms 22804 KB Output is correct
69 Correct 508 ms 52448 KB Output is correct
70 Correct 188 ms 22852 KB Output is correct
71 Correct 169 ms 22784 KB Output is correct
72 Correct 533 ms 78100 KB Output is correct
73 Correct 511 ms 78676 KB Output is correct
74 Correct 1398 ms 252472 KB Output is correct
75 Correct 723 ms 78200 KB Output is correct
76 Correct 1016 ms 163864 KB Output is correct
77 Correct 1016 ms 164948 KB Output is correct
78 Correct 288 ms 65656 KB Output is correct
79 Correct 474 ms 69260 KB Output is correct
80 Correct 302 ms 65776 KB Output is correct
81 Correct 443 ms 69312 KB Output is correct
82 Correct 1291 ms 173536 KB Output is correct
83 Correct 1128 ms 172980 KB Output is correct
84 Correct 876 ms 163012 KB Output is correct
85 Correct 872 ms 163116 KB Output is correct
86 Correct 240 ms 32940 KB Output is correct
87 Correct 240 ms 35192 KB Output is correct
88 Correct 536 ms 81064 KB Output is correct
89 Correct 996 ms 152864 KB Output is correct