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Submission #1007378

# Submission time Handle Problem Language Result Execution time Memory
1007378 2024-06-24T17:51:47 Z AdamGS Designated Cities (JOI19_designated_cities) C++17
100 / 100
 263 ms 68904 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long double ld;
typedef long long ll;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
const int LIM=2e5+7;
vector<pair<ll,ll>>V[LIM];
pair<ll,ll>sred={-1, -1};
ll wynik[LIM], sum, dp[LIM], dp_up[LIM], oc[LIM], ile[LIM];
void DFS(int x, int o) {
  for(auto i : V[x]) if(i.st==o) oc[x]=i.nd; else DFS(i.st, x);
  sum+=oc[x];
}
void DFS2(int x, int o) {
  for(auto i : V[x]) if(i.st!=o) {
    DFS2(i.st, x);
    dp[x]=max(dp[x], dp[i.st]+i.nd);
  }
}
void DFS3(int x, int o) {
  pair<ll,ll>ma={-1, -1};
  for(auto i : V[x]) if(i.st!=o) {
    ma=max(ma, {dp[i.st]+i.nd, i.st});
  }
  for(auto i : V[x]) if(i.st!=o) {
    dp_up[i.st]=max(dp_up[i.st], dp_up[x]+oc[i.st]);
    if(i.st!=ma.nd) {
      dp_up[i.st]=max(dp_up[i.st], ma.st+oc[i.st]);
    } else {
      for(auto j : V[x]) if(j.st!=o && j.st!=ma.nd) {
        dp_up[i.st]=max(dp_up[i.st], dp[j.st]+j.nd+oc[i.st]);
      }
    }
  }
  for(auto i : V[x]) if(i.st!=o) DFS3(i.st, x);
}
void DFS4(int x, int o) {
  for(auto i : V[x]) if(i.st==o) sum-=i.nd;
  wynik[1]=max(wynik[1], sum);
  sred=max(sred, {sum+max(dp[x], dp_up[x]), x});
  for(auto i : V[x]) if(i.st!=o) {
    sum+=i.nd;
    DFS4(i.st, x);
    sum-=i.nd;
  }
  for(auto i : V[x]) if(i.st==o) sum+=i.nd;
}
void DFS5(int x, int o) {
  ile[x]=1;
  for(auto i : V[x]) if(i.st!=o) {
    DFS5(i.st, x);
    ile[x]+=ile[i.st];
  }
  rep(i, V[x].size()) if(V[x][0].st==o || (V[x][i].st!=o && ile[V[x][i].st]>ile[V[x][0].st])) swap(V[x][0], V[x][i]);
}
void DFS6(int x, int o, multiset<ll>&S) {
  if(V[x][0].st==o) {
    S.insert(0);
    return;
  }
  DFS6(V[x][0].st, x, S);
  auto it=S.end(); --it;
  auto a=*it;
  S.erase(it);
  S.insert(a+V[x][0].nd);
  for(int i=1; i<V[x].size(); ++i) if(V[x][i].st!=o) {
    multiset<ll>tmp;
    DFS6(V[x][i].st, x, tmp);
    it=tmp.end(); --it;
    a=*it;
    tmp.erase(it);
    tmp.insert(a+V[x][i].nd);
    for(auto j : tmp) S.insert(j);
    tmp.clear();
  }
}
int main() {
  ios_base::sync_with_stdio(0); cin.tie(0);
  int n;
  cin >> n;
  ll summ=0;
  rep(i, n-1) {
    ll a, b, c, d;
    cin >> a >> b >> c >> d; --a; --b;
    V[a].pb({b, c});
    V[b].pb({a, d});
    summ+=c+d;
  }
  DFS(0, 0);
  DFS2(0, 0);
  DFS3(0, 0);
  DFS4(0, 0);
  oc[sred.nd]=0;
  sum=0;
  DFS(sred.nd, sred.nd);
  DFS5(sred.nd, sred.nd);
  multiset<ll>A;
  DFS6(sred.nd, sred.nd, A);
  rep(i, n) {
    if(A.size()==0) break;
    auto it=A.end(); --it;
    auto a=*it;
    A.erase(it);
    sum+=a;
    wynik[i+2]=sum;
  }
  rep(i, n) wynik[i+1]=max(wynik[i+1], wynik[i]);
  rep(i, n+1) wynik[i]=summ-wynik[i];
  int q;
  cin >> q;
  while(q--) {
    int x;
    cin >> x;
    cout << wynik[x] << '\n';
  }
}

Compilation message

designated_cities.cpp: In function 'void DFS5(int, int)':
designated_cities.cpp:5:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define rep(a, b) for(int a = 0; a < (b); ++a)
      |                                    ^
designated_cities.cpp:58:3: note: in expansion of macro 'rep'
   58 |   rep(i, V[x].size()) if(V[x][0].st==o || (V[x][i].st!=o && ile[V[x][i].st]>ile[V[x][0].st])) swap(V[x][0], V[x][i]);
      |   ^~~
designated_cities.cpp: In function 'void DFS6(int, int, std::multiset<long long int>&)':
designated_cities.cpp:70:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   70 |   for(int i=1; i<V[x].size(); ++i) if(V[x][i].st!=o) {
      |                ~^~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10752 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 1 ms 10752 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 155 ms 27088 KB Output is correct
3 Correct 204 ms 60792 KB Output is correct
4 Correct 172 ms 27472 KB Output is correct
5 Correct 148 ms 27252 KB Output is correct
6 Correct 166 ms 31568 KB Output is correct
7 Correct 138 ms 28352 KB Output is correct
8 Correct 216 ms 59476 KB Output is correct
9 Correct 111 ms 31696 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 165 ms 27196 KB Output is correct
3 Correct 195 ms 60756 KB Output is correct
4 Correct 136 ms 26964 KB Output is correct
5 Correct 166 ms 27464 KB Output is correct
6 Correct 157 ms 33128 KB Output is correct
7 Correct 119 ms 30808 KB Output is correct
8 Correct 234 ms 49488 KB Output is correct
9 Correct 118 ms 31668 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10752 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 1 ms 10752 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 3 ms 10844 KB Output is correct
14 Correct 3 ms 11100 KB Output is correct
15 Correct 3 ms 11020 KB Output is correct
16 Correct 3 ms 10844 KB Output is correct
17 Correct 3 ms 10844 KB Output is correct
18 Correct 3 ms 10844 KB Output is correct
19 Correct 3 ms 10868 KB Output is correct
20 Correct 3 ms 10844 KB Output is correct
21 Correct 3 ms 10848 KB Output is correct
22 Correct 3 ms 10844 KB Output is correct
23 Correct 3 ms 10844 KB Output is correct
24 Correct 2 ms 11040 KB Output is correct
25 Correct 3 ms 11100 KB Output is correct
26 Correct 2 ms 10844 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 155 ms 27088 KB Output is correct
3 Correct 204 ms 60792 KB Output is correct
4 Correct 172 ms 27472 KB Output is correct
5 Correct 148 ms 27252 KB Output is correct
6 Correct 166 ms 31568 KB Output is correct
7 Correct 138 ms 28352 KB Output is correct
8 Correct 216 ms 59476 KB Output is correct
9 Correct 111 ms 31696 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 165 ms 27196 KB Output is correct
12 Correct 195 ms 60756 KB Output is correct
13 Correct 136 ms 26964 KB Output is correct
14 Correct 166 ms 27464 KB Output is correct
15 Correct 157 ms 33128 KB Output is correct
16 Correct 119 ms 30808 KB Output is correct
17 Correct 234 ms 49488 KB Output is correct
18 Correct 118 ms 31668 KB Output is correct
19 Correct 2 ms 10588 KB Output is correct
20 Correct 188 ms 27108 KB Output is correct
21 Correct 240 ms 67124 KB Output is correct
22 Correct 162 ms 32760 KB Output is correct
23 Correct 180 ms 33908 KB Output is correct
24 Correct 164 ms 33108 KB Output is correct
25 Correct 173 ms 33624 KB Output is correct
26 Correct 196 ms 32536 KB Output is correct
27 Correct 161 ms 33680 KB Output is correct
28 Correct 174 ms 38664 KB Output is correct
29 Correct 189 ms 33684 KB Output is correct
30 Correct 158 ms 33068 KB Output is correct
31 Correct 141 ms 35388 KB Output is correct
32 Correct 246 ms 56804 KB Output is correct
33 Correct 129 ms 38108 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10752 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 2 ms 10588 KB Output is correct
8 Correct 1 ms 10752 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 1 ms 10588 KB Output is correct
13 Correct 155 ms 27088 KB Output is correct
14 Correct 204 ms 60792 KB Output is correct
15 Correct 172 ms 27472 KB Output is correct
16 Correct 148 ms 27252 KB Output is correct
17 Correct 166 ms 31568 KB Output is correct
18 Correct 138 ms 28352 KB Output is correct
19 Correct 216 ms 59476 KB Output is correct
20 Correct 111 ms 31696 KB Output is correct
21 Correct 1 ms 10588 KB Output is correct
22 Correct 165 ms 27196 KB Output is correct
23 Correct 195 ms 60756 KB Output is correct
24 Correct 136 ms 26964 KB Output is correct
25 Correct 166 ms 27464 KB Output is correct
26 Correct 157 ms 33128 KB Output is correct
27 Correct 119 ms 30808 KB Output is correct
28 Correct 234 ms 49488 KB Output is correct
29 Correct 118 ms 31668 KB Output is correct
30 Correct 2 ms 10588 KB Output is correct
31 Correct 3 ms 10844 KB Output is correct
32 Correct 3 ms 11100 KB Output is correct
33 Correct 3 ms 11020 KB Output is correct
34 Correct 3 ms 10844 KB Output is correct
35 Correct 3 ms 10844 KB Output is correct
36 Correct 3 ms 10844 KB Output is correct
37 Correct 3 ms 10868 KB Output is correct
38 Correct 3 ms 10844 KB Output is correct
39 Correct 3 ms 10848 KB Output is correct
40 Correct 3 ms 10844 KB Output is correct
41 Correct 3 ms 10844 KB Output is correct
42 Correct 2 ms 11040 KB Output is correct
43 Correct 3 ms 11100 KB Output is correct
44 Correct 2 ms 10844 KB Output is correct
45 Correct 2 ms 10588 KB Output is correct
46 Correct 188 ms 27108 KB Output is correct
47 Correct 240 ms 67124 KB Output is correct
48 Correct 162 ms 32760 KB Output is correct
49 Correct 180 ms 33908 KB Output is correct
50 Correct 164 ms 33108 KB Output is correct
51 Correct 173 ms 33624 KB Output is correct
52 Correct 196 ms 32536 KB Output is correct
53 Correct 161 ms 33680 KB Output is correct
54 Correct 174 ms 38664 KB Output is correct
55 Correct 189 ms 33684 KB Output is correct
56 Correct 158 ms 33068 KB Output is correct
57 Correct 141 ms 35388 KB Output is correct
58 Correct 246 ms 56804 KB Output is correct
59 Correct 129 ms 38108 KB Output is correct
60 Correct 1 ms 10588 KB Output is correct
61 Correct 193 ms 35924 KB Output is correct
62 Correct 246 ms 68904 KB Output is correct
63 Correct 169 ms 34992 KB Output is correct
64 Correct 181 ms 36688 KB Output is correct
65 Correct 176 ms 35668 KB Output is correct
66 Correct 185 ms 36728 KB Output is correct
67 Correct 207 ms 36212 KB Output is correct
68 Correct 166 ms 36552 KB Output is correct
69 Correct 190 ms 41208 KB Output is correct
70 Correct 198 ms 36424 KB Output is correct
71 Correct 181 ms 36120 KB Output is correct
72 Correct 150 ms 38268 KB Output is correct
73 Correct 263 ms 58964 KB Output is correct
74 Correct 153 ms 42364 KB Output is correct