oj.uz

Submission #265153

# Submission time Handle Problem Language Result Execution time Memory
265153 2020-08-14T13:30:50 Z extraterrestrial Duathlon (APIO18_duathlon) C++14
36 / 100
 453 ms 13864 KB 
#include <bits/stdc++.h>
typedef long long ll;
typedef long double ld;
using namespace std;
#define F first
#define S second
#define pb push_back  
#define all(x) (x).begin(), (x).end()
#define SZ(x) (int)(x).size()
//#define int ll    

const int N = 1e5 + 10;
vector<int> g[N], comp;
bool used[N];
int sz[N], root[N], pr[N];

void dfs(int v, int rt) {
  comp.pb(v);
  used[v] = true;
  sz[v] = 1;
  root[v] = rt;
  for (auto u : g[v]) {
    if (!used[u]) {
      pr[u] = v;
      dfs(u, rt);
      sz[v] += sz[u];
    }
  }
}

int sum = 0;
vector<int> path;
bool was[11][11][11];
void go(int mask) {
  int cnt = __builtin_popcount(mask);
  if (cnt >= 3) {
    for (int i = 1; i + 1 < SZ(path); i++) {
      if (!was[path[0]][path[i]][path.back()]) {
        was[path[0]][path[i]][path.back()] = true;
        sum++;
      }
    }
  }
  for (auto u : g[path.back()]) {
    if ((mask >> u) & 1) {
      continue;
    }
    path.pb(u);
    go(mask | (1 << u));
    path.pop_back();
  }
}

signed main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0); 
  cout.tie(0);
  int n, m;
  cin >> n >> m;
  for (int i = 0; i < m; i++) {
    int u, v;
    cin >> u >> v;
    g[u].pb(v);
    g[v].pb(u);
  }
  bool gr2 = true;
  for (int i = 1; i <= n; i++) {
    if (SZ(g[i]) > 2) {
      gr2 = false;
      break;
    }
  }
  if (gr2) {
    ll ans = 0;
    for (int i = 1; i <= n; i++) {
      if (!used[i]) {
        comp = {};
        dfs(i, i);
        int sum_sz = 0;
        for (int v : comp) {
          sum_sz += SZ(g[v]);
        } 
        if (sum_sz == 2 * sz[i]) {
          ans += 1ll * sz[i] * (sz[i] - 1) * (sz[i] - 2);
        }
        else {
          assert(sum_sz == 2 * (sz[i] - 1));
          ans += 1ll * sz[i] * (sz[i] - 1) * (sz[i] - 2) / 3;
        }
      }
    }
    cout << ans << '\n';
    exit(0);
  }
  if (n <= 10) {
    for (int i = 1; i <= n; i++) {
      path.pb(i);
      go(1 << i);
      path.pop_back();
      //cout << sum << '\n';
    }
    cout << sum << '\n';
    exit(0);
  }
  for (int i = 1; i <= n; i++) {
    if (!used[i]) {
      dfs(i, i);
    }
  }
  ll ans = 0;
  for (int v = 1; v <= n; v++) {
    for (auto u : g[v]) {
      if (u == pr[v]) {
        ans += (sz[root[v]] - sz[v]) * 1ll * (sz[v] - 1);
      }
      else {
        ans += sz[u] * 1ll * (sz[root[v]] - sz[u] - 1);
      }
    }
  }
  cout << ans << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2744 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 15 ms 2688 KB Output is correct
10 Correct 453 ms 2744 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 2 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2688 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2688 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 2 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 2 ms 2688 KB Output is correct
29 Correct 2 ms 2688 KB Output is correct
30 Correct 2 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 2 ms 2688 KB Output is correct
34 Correct 2 ms 2688 KB Output is correct
35 Correct 3 ms 2688 KB Output is correct

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2744 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 15 ms 2688 KB Output is correct
10 Correct 453 ms 2744 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 2 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2688 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2688 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 2 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 2 ms 2688 KB Output is correct
29 Correct 2 ms 2688 KB Output is correct
30 Correct 2 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 2 ms 2688 KB Output is correct
34 Correct 2 ms 2688 KB Output is correct
35 Correct 3 ms 2688 KB Output is correct
36 Correct 2 ms 2688 KB Output is correct
37 Correct 2 ms 2688 KB Output is correct
38 Incorrect 2 ms 2688 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 13808 KB Output is correct
2 Correct 63 ms 13864 KB Output is correct
3 Correct 63 ms 10484 KB Output is correct
4 Correct 64 ms 12144 KB Output is correct
5 Correct 67 ms 9592 KB Output is correct
6 Correct 63 ms 9464 KB Output is correct
7 Correct 57 ms 8568 KB Output is correct
8 Correct 70 ms 9236 KB Output is correct
9 Correct 59 ms 7800 KB Output is correct
10 Correct 73 ms 8508 KB Output is correct
11 Correct 58 ms 7032 KB Output is correct
12 Correct 54 ms 6904 KB Output is correct
13 Correct 48 ms 6904 KB Output is correct
14 Correct 44 ms 6776 KB Output is correct
15 Correct 34 ms 6520 KB Output is correct
16 Correct 36 ms 6400 KB Output is correct
17 Correct 4 ms 3840 KB Output is correct
18 Correct 5 ms 3840 KB Output is correct
19 Correct 5 ms 3840 KB Output is correct
20 Correct 4 ms 3840 KB Output is correct
21 Correct 4 ms 3840 KB Output is correct
22 Correct 5 ms 3840 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2720 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 3 ms 2816 KB Output is correct
5 Correct 2 ms 2816 KB Output is correct
6 Correct 2 ms 2816 KB Output is correct
7 Correct 2 ms 2816 KB Output is correct
8 Correct 3 ms 2816 KB Output is correct
9 Correct 3 ms 2816 KB Output is correct
10 Correct 2 ms 2688 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 2 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 2 ms 2816 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2816 KB Output is correct
20 Correct 2 ms 2816 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 7796 KB Output is correct
2 Correct 60 ms 7800 KB Output is correct
3 Correct 61 ms 7796 KB Output is correct
4 Correct 64 ms 7800 KB Output is correct
5 Correct 70 ms 7796 KB Output is correct
6 Correct 77 ms 11124 KB Output is correct
7 Correct 83 ms 9984 KB Output is correct
8 Correct 72 ms 9328 KB Output is correct
9 Correct 71 ms 8880 KB Output is correct
10 Correct 61 ms 7796 KB Output is correct
11 Correct 63 ms 7796 KB Output is correct
12 Correct 67 ms 7828 KB Output is correct
13 Correct 52 ms 7796 KB Output is correct
14 Correct 48 ms 7808 KB Output is correct
15 Correct 50 ms 7672 KB Output is correct
16 Correct 31 ms 6904 KB Output is correct
17 Correct 45 ms 8304 KB Output is correct
18 Correct 50 ms 8184 KB Output is correct
19 Correct 37 ms 8172 KB Output is correct
20 Correct 56 ms 8180 KB Output is correct

Subtask #6
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Incorrect 2 ms 2688 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 7796 KB Output is correct
2 Correct 57 ms 7800 KB Output is correct
3 Incorrect 66 ms 7800 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #8
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2744 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 15 ms 2688 KB Output is correct
10 Correct 453 ms 2744 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 2 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2688 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2688 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 2 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 2 ms 2688 KB Output is correct
29 Correct 2 ms 2688 KB Output is correct
30 Correct 2 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 2 ms 2688 KB Output is correct
34 Correct 2 ms 2688 KB Output is correct
35 Correct 3 ms 2688 KB Output is correct
36 Correct 2 ms 2688 KB Output is correct
37 Correct 2 ms 2688 KB Output is correct
38 Incorrect 2 ms 2688 KB Output isn't correct
39 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2688 KB Output is correct
3 Correct 2 ms 2688 KB Output is correct
4 Correct 2 ms 2744 KB Output is correct
5 Correct 2 ms 2688 KB Output is correct
6 Correct 2 ms 2688 KB Output is correct
7 Correct 2 ms 2688 KB Output is correct
8 Correct 2 ms 2688 KB Output is correct
9 Correct 15 ms 2688 KB Output is correct
10 Correct 453 ms 2744 KB Output is correct
11 Correct 2 ms 2688 KB Output is correct
12 Correct 2 ms 2688 KB Output is correct
13 Correct 2 ms 2688 KB Output is correct
14 Correct 2 ms 2688 KB Output is correct
15 Correct 2 ms 2688 KB Output is correct
16 Correct 2 ms 2688 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
18 Correct 2 ms 2688 KB Output is correct
19 Correct 2 ms 2688 KB Output is correct
20 Correct 2 ms 2688 KB Output is correct
21 Correct 2 ms 2688 KB Output is correct
22 Correct 2 ms 2688 KB Output is correct
23 Correct 2 ms 2688 KB Output is correct
24 Correct 2 ms 2688 KB Output is correct
25 Correct 2 ms 2688 KB Output is correct
26 Correct 2 ms 2688 KB Output is correct
27 Correct 2 ms 2688 KB Output is correct
28 Correct 2 ms 2688 KB Output is correct
29 Correct 2 ms 2688 KB Output is correct
30 Correct 2 ms 2688 KB Output is correct
31 Correct 2 ms 2688 KB Output is correct
32 Correct 2 ms 2688 KB Output is correct
33 Correct 2 ms 2688 KB Output is correct
34 Correct 2 ms 2688 KB Output is correct
35 Correct 3 ms 2688 KB Output is correct
36 Correct 2 ms 2688 KB Output is correct
37 Correct 2 ms 2688 KB Output is correct
38 Incorrect 2 ms 2688 KB Output isn't correct
39 Halted 0 ms 0 KB -