oj.uz

Submission #200891

# Submission time Handle Problem Language Result Execution time Memory
200891 2020-02-08T12:09:06 Z EntityIT Mergers (JOI19_mergers) C++14
100 / 100
 916 ms 171320 KB 
#include<bits/stdc++.h>

using namespace std;

#define all(x) (x).begin(), (x).end()
#define sz(x) ( (int)(x).size() )
using LL = long long;

template<class T>
inline bool asMn(T &a, const T &b) { return a > b ? a = b, true : false; }
template<class T>
inline bool asMx(T &a, const T &b) { return a < b ? a = b, true : false; }

const int inf = 1e9;
mt19937 rng( (uint32_t)chrono::steady_clock::now().time_since_epoch().count() );

int n, k;
vector<vector<int> > gr;

vector<int> be, en, ver;
void dfs(int u, int pr) {
  static int iTime = 0;

  ver[iTime] = u;
  be[u] = iTime++;
  for (int v : gr[u]) if (v != pr) dfs(v, u);
  en[u] = iTime - 1;
}

pair<int, int> operator + (const pair<int, int> &a, const pair<int, int> &b) {
  return { min(a.first, b.first), max(a.second, b.second) };
}

vector<vector<pair<int, int> > > rmq;
pair<int, int> get(int l, int r) {
  int i = __lg(r - l + 1);
  return rmq[i][l] + rmq[i][r - (1 << i) + 1];
}

struct Dsu {
  vector<int> pSet;
  Dsu(int nSet = 0) { pSet.assign(nSet, 0); iota(all(pSet), 0); }
  void reset(int nSet = 0) { pSet.assign(nSet, 0); iota(all(pSet), 0); }

  int findSet(int i) { return i == pSet[i] ? i : pSet[i] = findSet(pSet[i]); }
  void unite(int i, int j) {
    i = findSet(i); j = findSet(j);
    if (i == j) return ;
    pSet[i] = j;
  }
} dsu;

vector<pair<int, int> > edge;
void solve(int u, int pr) {
  for (int v : gr[u]) if (v != pr) {
    auto tmp = get(be[v], en[v]);
    if (be[v] <= tmp.first && tmp.second <= en[v]) edge.emplace_back(u, v);
    else dsu.unite(u, v);
    solve(v, u);
  }
}

int main() {
  ios_base::sync_with_stdio(0); cin.tie(0);

  #ifdef FourLeafClover
  freopen("input", "r", stdin);
  #endif // FourLeafCLover

  cin >> n >> k;
  gr.assign(n, {} );
  for (int i = 1; i < n; ++i) {
    int u, v; cin >> u >> v; --u; --v;
    gr[u].emplace_back(v);
    gr[v].emplace_back(u);
  }

  be.assign(n, 0);
  en.assign(n, 0);
  ver.assign(n, 0);
  dfs(0, -1);

  vector<int> s(n), L(k, inf), R(k, -inf);
  for (int u = 0; u < n; ++u) {
    cin >> s[u]; --s[u];
    asMn(L[ s[u] ], be[u]);
    asMx(R[ s[u] ], be[u]);
  }

  rmq.assign(__lg(n) + 1, vector<pair<int, int> >(n, { 0, 0 } ) );
  for (int u = 0; u < n; ++u) rmq[0][ be[u] ] = { L[ s[u] ], R[ s[u] ] };
  for (int j = 1; j < sz(rmq); ++j) {
    for (int i = 0; i + (1 << j) <= n; ++i) rmq[j][i] = rmq[j - 1][i] + rmq[j - 1][i + (1 << (j - 1) )];
  }

  dsu.reset(n);

  solve(0, -1);

  vector<int> cnt(n);
  for (auto e : edge) {
    ++cnt[ dsu.findSet(e.first) ];
    ++cnt[ dsu.findSet(e.second) ];
  }

  cout << ( (int)(count(all(cnt), 1) ) + 1) / 2 << '\n';

  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 380 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 5 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 380 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 5 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 7 ms 888 KB Output is correct
27 Correct 8 ms 888 KB Output is correct
28 Correct 7 ms 1144 KB Output is correct
29 Correct 7 ms 1016 KB Output is correct
30 Correct 6 ms 888 KB Output is correct
31 Correct 5 ms 376 KB Output is correct
32 Correct 7 ms 1144 KB Output is correct
33 Correct 5 ms 376 KB Output is correct
34 Correct 6 ms 888 KB Output is correct
35 Correct 7 ms 1016 KB Output is correct
36 Correct 7 ms 888 KB Output is correct
37 Correct 7 ms 888 KB Output is correct
38 Correct 5 ms 380 KB Output is correct
39 Correct 7 ms 888 KB Output is correct
40 Correct 6 ms 888 KB Output is correct
41 Correct 6 ms 888 KB Output is correct
42 Correct 7 ms 1016 KB Output is correct
43 Correct 7 ms 1272 KB Output is correct
44 Correct 5 ms 376 KB Output is correct
45 Correct 8 ms 1016 KB Output is correct
46 Correct 7 ms 888 KB Output is correct
47 Correct 5 ms 376 KB Output is correct
48 Correct 7 ms 888 KB Output is correct
49 Correct 6 ms 1016 KB Output is correct
50 Correct 7 ms 1144 KB Output is correct
51 Correct 7 ms 888 KB Output is correct
52 Correct 6 ms 888 KB Output is correct
53 Correct 7 ms 888 KB Output is correct
54 Correct 7 ms 916 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 380 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 5 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 72 ms 23408 KB Output is correct
27 Correct 99 ms 23108 KB Output is correct
28 Correct 6 ms 888 KB Output is correct
29 Correct 5 ms 376 KB Output is correct
30 Correct 5 ms 376 KB Output is correct
31 Correct 98 ms 23032 KB Output is correct
32 Correct 6 ms 888 KB Output is correct
33 Correct 117 ms 34536 KB Output is correct
34 Correct 100 ms 23032 KB Output is correct
35 Correct 7 ms 888 KB Output is correct
36 Correct 110 ms 24296 KB Output is correct
37 Correct 6 ms 888 KB Output is correct
38 Correct 6 ms 888 KB Output is correct
39 Correct 71 ms 23408 KB Output is correct
40 Correct 7 ms 1272 KB Output is correct
41 Correct 106 ms 23044 KB Output is correct
42 Correct 117 ms 26856 KB Output is correct
43 Correct 5 ms 376 KB Output is correct
44 Correct 118 ms 35048 KB Output is correct
45 Correct 105 ms 29032 KB Output is correct
46 Correct 7 ms 888 KB Output is correct
47 Correct 7 ms 888 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 22000 KB Output is correct
2 Correct 74 ms 24160 KB Output is correct
3 Correct 7 ms 888 KB Output is correct
4 Correct 7 ms 888 KB Output is correct
5 Correct 5 ms 380 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 6 ms 888 KB Output is correct
8 Correct 101 ms 24040 KB Output is correct
9 Correct 7 ms 888 KB Output is correct
10 Correct 96 ms 23160 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 120 ms 23144 KB Output is correct
13 Correct 104 ms 24168 KB Output is correct
14 Correct 108 ms 25552 KB Output is correct
15 Correct 67 ms 23280 KB Output is correct
16 Correct 7 ms 892 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 74 ms 25696 KB Output is correct
19 Correct 120 ms 31976 KB Output is correct
20 Correct 7 ms 888 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 69 ms 24288 KB Output is correct
23 Correct 7 ms 888 KB Output is correct
24 Correct 111 ms 23528 KB Output is correct
25 Correct 116 ms 29800 KB Output is correct
26 Correct 6 ms 1016 KB Output is correct
27 Correct 7 ms 1016 KB Output is correct
28 Correct 7 ms 888 KB Output is correct
29 Correct 6 ms 888 KB Output is correct
30 Correct 6 ms 1016 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 380 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 5 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 7 ms 888 KB Output is correct
27 Correct 8 ms 888 KB Output is correct
28 Correct 7 ms 1144 KB Output is correct
29 Correct 7 ms 1016 KB Output is correct
30 Correct 6 ms 888 KB Output is correct
31 Correct 5 ms 376 KB Output is correct
32 Correct 7 ms 1144 KB Output is correct
33 Correct 5 ms 376 KB Output is correct
34 Correct 6 ms 888 KB Output is correct
35 Correct 7 ms 1016 KB Output is correct
36 Correct 7 ms 888 KB Output is correct
37 Correct 7 ms 888 KB Output is correct
38 Correct 5 ms 380 KB Output is correct
39 Correct 7 ms 888 KB Output is correct
40 Correct 6 ms 888 KB Output is correct
41 Correct 6 ms 888 KB Output is correct
42 Correct 7 ms 1016 KB Output is correct
43 Correct 7 ms 1272 KB Output is correct
44 Correct 5 ms 376 KB Output is correct
45 Correct 8 ms 1016 KB Output is correct
46 Correct 7 ms 888 KB Output is correct
47 Correct 5 ms 376 KB Output is correct
48 Correct 7 ms 888 KB Output is correct
49 Correct 6 ms 1016 KB Output is correct
50 Correct 7 ms 1144 KB Output is correct
51 Correct 7 ms 888 KB Output is correct
52 Correct 6 ms 888 KB Output is correct
53 Correct 7 ms 888 KB Output is correct
54 Correct 7 ms 916 KB Output is correct
55 Correct 5 ms 376 KB Output is correct
56 Correct 72 ms 23408 KB Output is correct
57 Correct 99 ms 23108 KB Output is correct
58 Correct 6 ms 888 KB Output is correct
59 Correct 5 ms 376 KB Output is correct
60 Correct 5 ms 376 KB Output is correct
61 Correct 98 ms 23032 KB Output is correct
62 Correct 6 ms 888 KB Output is correct
63 Correct 117 ms 34536 KB Output is correct
64 Correct 100 ms 23032 KB Output is correct
65 Correct 7 ms 888 KB Output is correct
66 Correct 110 ms 24296 KB Output is correct
67 Correct 6 ms 888 KB Output is correct
68 Correct 6 ms 888 KB Output is correct
69 Correct 71 ms 23408 KB Output is correct
70 Correct 7 ms 1272 KB Output is correct
71 Correct 106 ms 23044 KB Output is correct
72 Correct 117 ms 26856 KB Output is correct
73 Correct 5 ms 376 KB Output is correct
74 Correct 118 ms 35048 KB Output is correct
75 Correct 105 ms 29032 KB Output is correct
76 Correct 7 ms 888 KB Output is correct
77 Correct 7 ms 888 KB Output is correct
78 Correct 66 ms 22000 KB Output is correct
79 Correct 74 ms 24160 KB Output is correct
80 Correct 7 ms 888 KB Output is correct
81 Correct 7 ms 888 KB Output is correct
82 Correct 5 ms 380 KB Output is correct
83 Correct 5 ms 376 KB Output is correct
84 Correct 6 ms 888 KB Output is correct
85 Correct 101 ms 24040 KB Output is correct
86 Correct 7 ms 888 KB Output is correct
87 Correct 96 ms 23160 KB Output is correct
88 Correct 5 ms 376 KB Output is correct
89 Correct 120 ms 23144 KB Output is correct
90 Correct 104 ms 24168 KB Output is correct
91 Correct 108 ms 25552 KB Output is correct
92 Correct 67 ms 23280 KB Output is correct
93 Correct 7 ms 892 KB Output is correct
94 Correct 5 ms 376 KB Output is correct
95 Correct 74 ms 25696 KB Output is correct
96 Correct 120 ms 31976 KB Output is correct
97 Correct 7 ms 888 KB Output is correct
98 Correct 5 ms 376 KB Output is correct
99 Correct 69 ms 24288 KB Output is correct
100 Correct 7 ms 888 KB Output is correct
101 Correct 111 ms 23528 KB Output is correct
102 Correct 116 ms 29800 KB Output is correct
103 Correct 6 ms 1016 KB Output is correct
104 Correct 7 ms 1016 KB Output is correct
105 Correct 7 ms 888 KB Output is correct
106 Correct 6 ms 888 KB Output is correct
107 Correct 6 ms 1016 KB Output is correct
108 Correct 493 ms 128200 KB Output is correct
109 Correct 859 ms 151424 KB Output is correct
110 Correct 860 ms 169136 KB Output is correct
111 Correct 916 ms 171320 KB Output is correct
112 Correct 826 ms 154160 KB Output is correct
113 Correct 527 ms 135452 KB Output is correct
114 Correct 697 ms 122160 KB Output is correct
115 Correct 729 ms 122216 KB Output is correct
116 Correct 750 ms 124848 KB Output is correct
117 Correct 763 ms 134564 KB Output is correct
118 Correct 708 ms 120700 KB Output is correct
119 Correct 772 ms 134540 KB Output is correct
120 Correct 843 ms 157168 KB Output is correct
121 Correct 793 ms 134352 KB Output is correct
122 Correct 770 ms 128428 KB Output is correct
123 Correct 501 ms 135976 KB Output is correct
124 Correct 878 ms 130668 KB Output is correct