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Submission #107867

# Submission time Handle Problem Language Result Execution time Memory
107867 2019-04-26T04:23:28 Z shoemakerjo Mergers (JOI19_mergers) C++14
100 / 100
 2065 ms 172724 KB 
#include <bits/stdc++.h>

using namespace std;

const int maxn = 500010;
int n, k;

int cset[maxn]; //store for the states
int mstate[maxn]; //store for the nodes
int croot[maxn];

#define pii pair<int, int>

vector<int> adj[maxn];

int findset(int u) {
  if (cset[u] == u) return u;
  return cset[u] = findset(cset[u]);
}

void unionset(int a, int b) {
  a = findset(a);
  b = findset(b);
  if (a == b) return;
  if (rand()%2) cset[a] = b;
  else cset[b] = a;
}

int getcomp(int u) {
  return findset(mstate[u]);
}

int par[20][maxn];
int dep[maxn];
int subsize[maxn];

int walk(int u, int k) {
  for (int i = 0; i < 19; i++) {
    if (k & (1 << i)) {
      u = par[i][u];
    }
  }
  return u;
}

int lca(int a, int b) {
  // cout << a << " and " << b << endl;
  if (dep[a] < dep[b]) swap(a, b);
  a = walk(a, dep[a] - dep[b]);
  if (a == b) return a;
  for (int i = 19; i >= 0; i--) {
    if (par[i][a] != par[i][b]) {
      a = par[i][a];
      b = par[i][b];
    }
  }
  return par[0][a];
}

void predfs(int u, int p = -1) {
  dep[u] = p == -1 ? 1 : dep[p]+1;
  subsize[u] = 1;
  par[0][u] = p == -1 ? 0 : p;
  for (int v : adj[u]) {
    if (v == p) continue;
    predfs(v, u);
    subsize[u] += subsize[v];
  }
}

// set<pii> curin;
vector<int> myremos[maxn];

void dfs(int u, int p, set<pii>& curin) {

  // cout << " doing " << u << endl;

  int bigch = -1;
  for (int v : adj[u]) {
    if (v == p) continue;
    if (bigch == -1 || subsize[v] > subsize[bigch]) {
      bigch = v;
    }
  }
  if (bigch != -1) {
    dfs(bigch, u, curin);
  }

  for (int v : adj[u]) {
    if (v == p || v == bigch) continue;
    set<pii> tc;
    dfs(v, u, tc);
    for (pii vp : tc) curin.insert(vp);
  }



  if (curin.size()) {
    int cv = (*(curin.begin())).second;
    unionset(cv, mstate[u]);
  }
  curin.insert(pii(dep[croot[mstate[u]]], mstate[u]));

  // cout << u << " : ";
  // for (pii vp : curin) {
  //   cout << vp.first << "," << vp.second << " ";
  // }
  // cout << endl;

  int cv = (*(curin.begin())).second;

  for (int v : myremos[u]) {
    unionset(cv, v);
    curin.erase(curin.find(pii(dep[u], v)));
  }
}

int deg[maxn];

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cin >> n >> k;
  int u, v;
  for (int i = 0; i < n-1; i++) {
    cin >> u >> v;
    adj[u].push_back(v);
    adj[v].push_back(u);
  }
  for (int i = 1; i <= k; i++) {
    cset[i] = i;
  }
  for (int i = 1; i <= n; i++) {
    cin >> mstate[i];
  }
  predfs(1);
  for (int i = 1; i < 20; i++) {
    for (int j = 1; j <= n; j++) {
      if (par[i-1][j] != 0) {
        par[i][j] = par[i-1][par[i-1][j]];
      }
      else par[i][j] = 0;
    }
  }
  //now we are ready to union components
  for (int i= 1; i <= n; i++) {
    if (croot[mstate[i]] == 0) {
      croot[mstate[i]] = i;
    }
    else {
      croot[mstate[i]] = lca(croot[mstate[i]], i);
    }
  }
  for (int i = 1; i <= k; i++) {
    myremos[croot[i]].push_back(i);
    // cout << i << " :: " << croot[i] << endl;
  }
  for (int i = 1; i <= n; i++) {
    reverse(myremos[i].begin(), myremos[i].end());
  }

  set<pii> tc;
  dfs(1, -1, tc);

  for (int i = 1; i <= n; i++) {
    for (int j : adj[i]) {
      if (getcomp(i) != getcomp(j)) {
        deg[getcomp(i)]++;
        deg[getcomp(j)]++;
      }
    }
  }
  int nc = 0;
  for (int i = 1; i <= k; i++) {
    assert(deg[i]%2 == 0);
    deg[i] /= 2;
    if (deg[i] == 1) nc++;
  }

  // cout << "sz: " << curin.size() << endl;

  cout << (nc+1)/2 << endl;

}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 24064 KB Output is correct
2 Correct 25 ms 24064 KB Output is correct
3 Correct 23 ms 24064 KB Output is correct
4 Correct 22 ms 24064 KB Output is correct
5 Correct 27 ms 23976 KB Output is correct
6 Correct 27 ms 23992 KB Output is correct
7 Correct 25 ms 24056 KB Output is correct
8 Correct 24 ms 24060 KB Output is correct
9 Correct 26 ms 24056 KB Output is correct
10 Correct 25 ms 24064 KB Output is correct
11 Correct 27 ms 24064 KB Output is correct
12 Correct 25 ms 24056 KB Output is correct
13 Correct 25 ms 24064 KB Output is correct
14 Correct 25 ms 24064 KB Output is correct
15 Correct 25 ms 24064 KB Output is correct
16 Correct 28 ms 24064 KB Output is correct
17 Correct 27 ms 23968 KB Output is correct
18 Correct 23 ms 24028 KB Output is correct
19 Correct 28 ms 24064 KB Output is correct
20 Correct 22 ms 24064 KB Output is correct
21 Correct 21 ms 24192 KB Output is correct
22 Correct 24 ms 24064 KB Output is correct
23 Correct 24 ms 24064 KB Output is correct
24 Correct 25 ms 24064 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 24064 KB Output is correct
2 Correct 25 ms 24064 KB Output is correct
3 Correct 23 ms 24064 KB Output is correct
4 Correct 22 ms 24064 KB Output is correct
5 Correct 27 ms 23976 KB Output is correct
6 Correct 27 ms 23992 KB Output is correct
7 Correct 25 ms 24056 KB Output is correct
8 Correct 24 ms 24060 KB Output is correct
9 Correct 26 ms 24056 KB Output is correct
10 Correct 25 ms 24064 KB Output is correct
11 Correct 27 ms 24064 KB Output is correct
12 Correct 25 ms 24056 KB Output is correct
13 Correct 25 ms 24064 KB Output is correct
14 Correct 25 ms 24064 KB Output is correct
15 Correct 25 ms 24064 KB Output is correct
16 Correct 28 ms 24064 KB Output is correct
17 Correct 27 ms 23968 KB Output is correct
18 Correct 23 ms 24028 KB Output is correct
19 Correct 28 ms 24064 KB Output is correct
20 Correct 22 ms 24064 KB Output is correct
21 Correct 21 ms 24192 KB Output is correct
22 Correct 24 ms 24064 KB Output is correct
23 Correct 24 ms 24064 KB Output is correct
24 Correct 25 ms 24064 KB Output is correct
25 Correct 23 ms 23988 KB Output is correct
26 Correct 26 ms 24576 KB Output is correct
27 Correct 24 ms 24440 KB Output is correct
28 Correct 30 ms 24824 KB Output is correct
29 Correct 31 ms 24568 KB Output is correct
30 Correct 29 ms 24448 KB Output is correct
31 Correct 23 ms 24064 KB Output is correct
32 Correct 30 ms 24960 KB Output is correct
33 Correct 22 ms 24056 KB Output is correct
34 Correct 27 ms 24448 KB Output is correct
35 Correct 24 ms 24576 KB Output is correct
36 Correct 29 ms 24448 KB Output is correct
37 Correct 25 ms 24576 KB Output is correct
38 Correct 21 ms 24064 KB Output is correct
39 Correct 26 ms 24576 KB Output is correct
40 Correct 29 ms 24440 KB Output is correct
41 Correct 31 ms 24440 KB Output is correct
42 Correct 26 ms 24448 KB Output is correct
43 Correct 29 ms 24952 KB Output is correct
44 Correct 26 ms 24064 KB Output is correct
45 Correct 33 ms 24620 KB Output is correct
46 Correct 29 ms 24448 KB Output is correct
47 Correct 25 ms 24064 KB Output is correct
48 Correct 29 ms 24448 KB Output is correct
49 Correct 29 ms 24568 KB Output is correct
50 Correct 31 ms 24824 KB Output is correct
51 Correct 28 ms 24376 KB Output is correct
52 Correct 28 ms 24448 KB Output is correct
53 Correct 31 ms 24568 KB Output is correct
54 Correct 30 ms 24448 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 24064 KB Output is correct
2 Correct 25 ms 24064 KB Output is correct
3 Correct 23 ms 24064 KB Output is correct
4 Correct 22 ms 24064 KB Output is correct
5 Correct 27 ms 23976 KB Output is correct
6 Correct 27 ms 23992 KB Output is correct
7 Correct 25 ms 24056 KB Output is correct
8 Correct 24 ms 24060 KB Output is correct
9 Correct 26 ms 24056 KB Output is correct
10 Correct 25 ms 24064 KB Output is correct
11 Correct 27 ms 24064 KB Output is correct
12 Correct 25 ms 24056 KB Output is correct
13 Correct 25 ms 24064 KB Output is correct
14 Correct 25 ms 24064 KB Output is correct
15 Correct 25 ms 24064 KB Output is correct
16 Correct 28 ms 24064 KB Output is correct
17 Correct 27 ms 23968 KB Output is correct
18 Correct 23 ms 24028 KB Output is correct
19 Correct 28 ms 24064 KB Output is correct
20 Correct 22 ms 24064 KB Output is correct
21 Correct 21 ms 24192 KB Output is correct
22 Correct 24 ms 24064 KB Output is correct
23 Correct 24 ms 24064 KB Output is correct
24 Correct 25 ms 24064 KB Output is correct
25 Correct 22 ms 24064 KB Output is correct
26 Correct 151 ms 37976 KB Output is correct
27 Correct 212 ms 37812 KB Output is correct
28 Correct 27 ms 24448 KB Output is correct
29 Correct 25 ms 24060 KB Output is correct
30 Correct 24 ms 24068 KB Output is correct
31 Correct 200 ms 37648 KB Output is correct
32 Correct 30 ms 24440 KB Output is correct
33 Correct 242 ms 55084 KB Output is correct
34 Correct 207 ms 37628 KB Output is correct
35 Correct 28 ms 24448 KB Output is correct
36 Correct 220 ms 39576 KB Output is correct
37 Correct 23 ms 24320 KB Output is correct
38 Correct 25 ms 24448 KB Output is correct
39 Correct 128 ms 38000 KB Output is correct
40 Correct 27 ms 24904 KB Output is correct
41 Correct 189 ms 37596 KB Output is correct
42 Correct 228 ms 43384 KB Output is correct
43 Correct 27 ms 24064 KB Output is correct
44 Correct 263 ms 55764 KB Output is correct
45 Correct 186 ms 46776 KB Output is correct
46 Correct 23 ms 24448 KB Output is correct
47 Correct 24 ms 24440 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 36616 KB Output is correct
2 Correct 193 ms 40880 KB Output is correct
3 Correct 30 ms 24448 KB Output is correct
4 Correct 24 ms 24448 KB Output is correct
5 Correct 24 ms 24064 KB Output is correct
6 Correct 23 ms 24056 KB Output is correct
7 Correct 26 ms 24448 KB Output is correct
8 Correct 249 ms 39416 KB Output is correct
9 Correct 31 ms 24440 KB Output is correct
10 Correct 201 ms 37816 KB Output is correct
11 Correct 25 ms 24064 KB Output is correct
12 Correct 255 ms 37880 KB Output is correct
13 Correct 284 ms 39728 KB Output is correct
14 Correct 275 ms 42360 KB Output is correct
15 Correct 185 ms 37876 KB Output is correct
16 Correct 29 ms 24576 KB Output is correct
17 Correct 22 ms 24056 KB Output is correct
18 Correct 194 ms 42384 KB Output is correct
19 Correct 288 ms 51884 KB Output is correct
20 Correct 29 ms 24448 KB Output is correct
21 Correct 29 ms 24064 KB Output is correct
22 Correct 210 ms 41128 KB Output is correct
23 Correct 29 ms 24448 KB Output is correct
24 Correct 213 ms 38136 KB Output is correct
25 Correct 257 ms 48760 KB Output is correct
26 Correct 34 ms 24568 KB Output is correct
27 Correct 25 ms 24704 KB Output is correct
28 Correct 32 ms 24576 KB Output is correct
29 Correct 32 ms 24440 KB Output is correct
30 Correct 27 ms 24576 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 24064 KB Output is correct
2 Correct 25 ms 24064 KB Output is correct
3 Correct 23 ms 24064 KB Output is correct
4 Correct 22 ms 24064 KB Output is correct
5 Correct 27 ms 23976 KB Output is correct
6 Correct 27 ms 23992 KB Output is correct
7 Correct 25 ms 24056 KB Output is correct
8 Correct 24 ms 24060 KB Output is correct
9 Correct 26 ms 24056 KB Output is correct
10 Correct 25 ms 24064 KB Output is correct
11 Correct 27 ms 24064 KB Output is correct
12 Correct 25 ms 24056 KB Output is correct
13 Correct 25 ms 24064 KB Output is correct
14 Correct 25 ms 24064 KB Output is correct
15 Correct 25 ms 24064 KB Output is correct
16 Correct 28 ms 24064 KB Output is correct
17 Correct 27 ms 23968 KB Output is correct
18 Correct 23 ms 24028 KB Output is correct
19 Correct 28 ms 24064 KB Output is correct
20 Correct 22 ms 24064 KB Output is correct
21 Correct 21 ms 24192 KB Output is correct
22 Correct 24 ms 24064 KB Output is correct
23 Correct 24 ms 24064 KB Output is correct
24 Correct 25 ms 24064 KB Output is correct
25 Correct 23 ms 23988 KB Output is correct
26 Correct 26 ms 24576 KB Output is correct
27 Correct 24 ms 24440 KB Output is correct
28 Correct 30 ms 24824 KB Output is correct
29 Correct 31 ms 24568 KB Output is correct
30 Correct 29 ms 24448 KB Output is correct
31 Correct 23 ms 24064 KB Output is correct
32 Correct 30 ms 24960 KB Output is correct
33 Correct 22 ms 24056 KB Output is correct
34 Correct 27 ms 24448 KB Output is correct
35 Correct 24 ms 24576 KB Output is correct
36 Correct 29 ms 24448 KB Output is correct
37 Correct 25 ms 24576 KB Output is correct
38 Correct 21 ms 24064 KB Output is correct
39 Correct 26 ms 24576 KB Output is correct
40 Correct 29 ms 24440 KB Output is correct
41 Correct 31 ms 24440 KB Output is correct
42 Correct 26 ms 24448 KB Output is correct
43 Correct 29 ms 24952 KB Output is correct
44 Correct 26 ms 24064 KB Output is correct
45 Correct 33 ms 24620 KB Output is correct
46 Correct 29 ms 24448 KB Output is correct
47 Correct 25 ms 24064 KB Output is correct
48 Correct 29 ms 24448 KB Output is correct
49 Correct 29 ms 24568 KB Output is correct
50 Correct 31 ms 24824 KB Output is correct
51 Correct 28 ms 24376 KB Output is correct
52 Correct 28 ms 24448 KB Output is correct
53 Correct 31 ms 24568 KB Output is correct
54 Correct 30 ms 24448 KB Output is correct
55 Correct 22 ms 24064 KB Output is correct
56 Correct 151 ms 37976 KB Output is correct
57 Correct 212 ms 37812 KB Output is correct
58 Correct 27 ms 24448 KB Output is correct
59 Correct 25 ms 24060 KB Output is correct
60 Correct 24 ms 24068 KB Output is correct
61 Correct 200 ms 37648 KB Output is correct
62 Correct 30 ms 24440 KB Output is correct
63 Correct 242 ms 55084 KB Output is correct
64 Correct 207 ms 37628 KB Output is correct
65 Correct 28 ms 24448 KB Output is correct
66 Correct 220 ms 39576 KB Output is correct
67 Correct 23 ms 24320 KB Output is correct
68 Correct 25 ms 24448 KB Output is correct
69 Correct 128 ms 38000 KB Output is correct
70 Correct 27 ms 24904 KB Output is correct
71 Correct 189 ms 37596 KB Output is correct
72 Correct 228 ms 43384 KB Output is correct
73 Correct 27 ms 24064 KB Output is correct
74 Correct 263 ms 55764 KB Output is correct
75 Correct 186 ms 46776 KB Output is correct
76 Correct 23 ms 24448 KB Output is correct
77 Correct 24 ms 24440 KB Output is correct
78 Correct 132 ms 36616 KB Output is correct
79 Correct 193 ms 40880 KB Output is correct
80 Correct 30 ms 24448 KB Output is correct
81 Correct 24 ms 24448 KB Output is correct
82 Correct 24 ms 24064 KB Output is correct
83 Correct 23 ms 24056 KB Output is correct
84 Correct 26 ms 24448 KB Output is correct
85 Correct 249 ms 39416 KB Output is correct
86 Correct 31 ms 24440 KB Output is correct
87 Correct 201 ms 37816 KB Output is correct
88 Correct 25 ms 24064 KB Output is correct
89 Correct 255 ms 37880 KB Output is correct
90 Correct 284 ms 39728 KB Output is correct
91 Correct 275 ms 42360 KB Output is correct
92 Correct 185 ms 37876 KB Output is correct
93 Correct 29 ms 24576 KB Output is correct
94 Correct 22 ms 24056 KB Output is correct
95 Correct 194 ms 42384 KB Output is correct
96 Correct 288 ms 51884 KB Output is correct
97 Correct 29 ms 24448 KB Output is correct
98 Correct 29 ms 24064 KB Output is correct
99 Correct 210 ms 41128 KB Output is correct
100 Correct 29 ms 24448 KB Output is correct
101 Correct 213 ms 38136 KB Output is correct
102 Correct 257 ms 48760 KB Output is correct
103 Correct 34 ms 24568 KB Output is correct
104 Correct 25 ms 24704 KB Output is correct
105 Correct 32 ms 24576 KB Output is correct
106 Correct 32 ms 24440 KB Output is correct
107 Correct 27 ms 24576 KB Output is correct
108 Correct 1365 ms 108800 KB Output is correct
109 Correct 1324 ms 136568 KB Output is correct
110 Correct 1193 ms 163768 KB Output is correct
111 Correct 2065 ms 172724 KB Output is correct
112 Correct 1898 ms 149260 KB Output is correct
113 Correct 1242 ms 116472 KB Output is correct
114 Correct 1020 ms 92668 KB Output is correct
115 Correct 1010 ms 92664 KB Output is correct
116 Correct 1656 ms 96648 KB Output is correct
117 Correct 1890 ms 116600 KB Output is correct
118 Correct 1010 ms 92536 KB Output is correct
119 Correct 1739 ms 116528 KB Output is correct
120 Correct 1927 ms 150684 KB Output is correct
121 Correct 1627 ms 116492 KB Output is correct
122 Correct 1921 ms 110776 KB Output is correct
123 Correct 1257 ms 118052 KB Output is correct
124 Correct 1760 ms 115344 KB Output is correct