oj.uz

Submission #202634

# Submission time Handle Problem Language Result Execution time Memory
202634 2020-02-17T11:37:51 Z theStaticMind Designated Cities (JOI19_designated_cities) C++14
39 / 100
 1972 ms 67488 KB 
#include<bits/stdc++.h>
#define pb push_back
#define ii pair<int,int>
#define all(x) (x).begin(),(x).end()
#define INF 100000000000000000
#define modulo 1000000007
#define mod 998244353
#define int long long int
using namespace std;

vector<int> adj[200005];
vector<int> val(200005);
vector<int> Ans(200005, 0);
vector<int> sub(200005, 1);
vector<int> anc(200005, 0);
vector<pair<ii, int> > V(200005);
vector<int> P(200005, 0);
vector<bool> mark(200005, false);
vector<bool> vis(200005, false);
unordered_map<int, int> cost;
ii Q = {-INF, -1};
int S = 0;
int _hash(ii a){
      return a.first * 1e6 + a.second;
}
void dfs1(int x, int pre, int& v){
      for(int i = 0; i < adj[x].size(); i++){
            int y = adj[x][i];
            if(y == pre) continue;
            v += cost[_hash({y, x})];
            dfs1(y, x, v);
      }
}
void dfs2(int x, int pre, int v){
      val[x] = v;
      for(int i = 0; i < adj[x].size(); i++){
            int y = adj[x][i];
            if(y == pre) continue;
            dfs2(y, x, v - cost[_hash({y, x})] + cost[_hash({x, y})]);
      }
}
void dfs3(int x, int pre){
      sub[x] = 1;
      for(int i = 0; i < adj[x].size(); i++){
            int y = adj[x][i];
            if(y == pre || mark[y]) continue;
            dfs3(y, x);
            sub[x] += sub[y];
      }
}
void dfs4(int x, int pre, int sum, ii& mx){
      if(sum > mx.first){
            mx = {sum, x};
      }
      for(int i = 0; i < adj[x].size(); i++){
            int y = adj[x][i];
            if(y == pre || mark[y]) continue;
            dfs4(y, x, sum + cost[_hash({x, y})], mx);
      }
}
void dfs5(int x, int pre){
      for(int i = 0; i < adj[x].size(); i++){
            int y = adj[x][i];
            if(y == pre) continue;
            dfs5(y, x);
            anc[y] = x;
      }
}
void dfs6(int x, int pre, int value){
      for(auto y : adj[x]){
            if(vis[y] || pre == y)continue;
            dfs6(y, x, value + cost[_hash({x, y})]);
      }
      if(adj[x].size() == 1 && pre != -1){
            if(Q.first < value){
                  Q = {value, x};
            }
      }
}
int find_centroid(int x, int pre, int sum){
      for(int i = 0; i < adj[x].size(); i++){
            int y = adj[x][i];
            if(y == pre || mark[y])continue;
            if(sub[y] > sum / 2)return find_centroid(y, x, sum);
      }
      return x;
}
void solve(int x){
      dfs3(x, -1);
      x = find_centroid(x, -1, sub[x]);
      ii mx = {0, x};
      pair <ii, int> ans = {{x, x}, 0};
      for(int i = 0; i < adj[x].size(); i++){
            int y = adj[x][i];
            if(mark[y])continue;
            ii temp = {cost[_hash({x, y})], y};
            dfs4(y, x, cost[_hash({x, y})], temp);
            if(ans.second < mx.first + temp.first){
                  ans.first = {mx.second, temp.second};
                  ans.second = mx.first + temp.first;
            }
            if(temp.first > mx.first){
                  swap(temp, mx);
            }
      }
      V[x] = ans;
      mark[x] = true;
      for(int i = 0; i < adj[x].size(); i++){
            int y =adj[x][i];
            if(mark[y])continue;
            solve(y);
      }
}
int32_t main(){
      ios_base::sync_with_stdio(false);
      cin.tie(NULL);
//      freopen("q.gir","r",stdin);
//      freopen("q.cik","w",stdout);
      int n;
      cin >> n;
      for(int i = 0; i < n - 1; i++){
            int x, y, a, b;
            cin >> x >> y >> a >> b;
            adj[x].pb(y);
            adj[y].pb(x);
            cost[_hash({x, y})] = a;
            cost[_hash({y, x})] = b;
            S += a + b;
      }
      int w = 0;
      dfs1(1, 0, w);
      dfs2(1, 0, w);
      Ans[1] = S - *max_element(all(val));
      solve(1);
      Ans[2] = INF;
      int X, Y;
      for(int i = 1; i <= n; i++){
            if((S - val[i]) - V[i].second < Ans[2]){
                  X = V[i].first.first;
                  Y = V[i].first.second;
                  Ans[2] = (S - val[i]) - V[i].second;
            }
      }
      if(n <= 2001){
      dfs5(X, 0);
      int t = Y;
      while(t != X){
            vis[t] = true;
            t = anc[t];
      }
      vis[X] = true;
      for(int i = 1; i <= n; i++){
            if(vis[i]) dfs6(i, -1, 0);
      }
      for(int q = 3; Ans[q - 1] != 0; q++){
            Ans[q] = Ans[q - 1] - Q.first;
            int x = Q.second;
            Q = {-INF, -1};
            t = x;
            while(!vis[t]){
                  vis[t] = true;
                  t = anc[t];
            }
            for(int i = 1; i <= n; i++){
                  if(vis[i]) dfs6(i, -1, 0);
            }

      }
}
      int q;
      cin >> q;
      while(q--){
            int k;
            cin >> k;
            cout << Ans[k] << "\n";
      }
}

Compilation message

designated_cities.cpp: In function 'void dfs1(long long int, long long int, long long int&)':
designated_cities.cpp:27:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~
designated_cities.cpp: In function 'void dfs2(long long int, long long int, long long int)':
designated_cities.cpp:36:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~
designated_cities.cpp: In function 'void dfs3(long long int, long long int)':
designated_cities.cpp:44:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~
designated_cities.cpp: In function 'void dfs4(long long int, long long int, long long int, std::pair<long long int, long long int>&)':
designated_cities.cpp:55:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~
designated_cities.cpp: In function 'void dfs5(long long int, long long int)':
designated_cities.cpp:62:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~
designated_cities.cpp: In function 'long long int find_centroid(long long int, long long int, long long int)':
designated_cities.cpp:81:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~
designated_cities.cpp: In function 'void solve(long long int)':
designated_cities.cpp:93:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~
designated_cities.cpp:108:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
       for(int i = 0; i < adj[x].size(); i++){
                      ~~^~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 17656 KB Output is correct
2 Correct 19 ms 17656 KB Output is correct
3 Correct 15 ms 17660 KB Output is correct
4 Correct 15 ms 17656 KB Output is correct
5 Correct 15 ms 17656 KB Output is correct
6 Correct 15 ms 17656 KB Output is correct
7 Correct 15 ms 17660 KB Output is correct
8 Correct 15 ms 17656 KB Output is correct
9 Correct 15 ms 17656 KB Output is correct
10 Correct 15 ms 17656 KB Output is correct
11 Correct 15 ms 17656 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 17656 KB Output is correct
2 Correct 1194 ms 40968 KB Output is correct
3 Correct 1795 ms 60300 KB Output is correct
4 Correct 1221 ms 41156 KB Output is correct
5 Correct 808 ms 41700 KB Output is correct
6 Correct 1435 ms 50232 KB Output is correct
7 Correct 681 ms 47628 KB Output is correct
8 Correct 1806 ms 67488 KB Output is correct
9 Correct 486 ms 47992 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 17656 KB Output is correct
2 Correct 1376 ms 41100 KB Output is correct
3 Correct 1972 ms 63624 KB Output is correct
4 Correct 1379 ms 40968 KB Output is correct
5 Correct 877 ms 40844 KB Output is correct
6 Correct 1657 ms 44168 KB Output is correct
7 Correct 550 ms 41464 KB Output is correct
8 Correct 1878 ms 53344 KB Output is correct
9 Correct 506 ms 47612 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 17656 KB Output is correct
2 Correct 19 ms 17656 KB Output is correct
3 Correct 15 ms 17660 KB Output is correct
4 Correct 15 ms 17656 KB Output is correct
5 Correct 15 ms 17656 KB Output is correct
6 Correct 15 ms 17656 KB Output is correct
7 Correct 15 ms 17660 KB Output is correct
8 Correct 15 ms 17656 KB Output is correct
9 Correct 15 ms 17656 KB Output is correct
10 Correct 15 ms 17656 KB Output is correct
11 Correct 15 ms 17656 KB Output is correct
12 Correct 15 ms 17656 KB Output is correct
13 Correct 54 ms 17912 KB Output is correct
14 Correct 19 ms 18040 KB Output is correct
15 Correct 64 ms 17912 KB Output is correct
16 Correct 56 ms 17912 KB Output is correct
17 Correct 55 ms 17912 KB Output is correct
18 Correct 59 ms 17912 KB Output is correct
19 Correct 58 ms 17912 KB Output is correct
20 Correct 62 ms 17964 KB Output is correct
21 Correct 58 ms 17912 KB Output is correct
22 Correct 52 ms 17912 KB Output is correct
23 Correct 80 ms 18040 KB Output is correct
24 Correct 94 ms 17912 KB Output is correct
25 Correct 25 ms 18040 KB Output is correct
26 Correct 101 ms 17944 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 17656 KB Output is correct
2 Correct 1194 ms 40968 KB Output is correct
3 Correct 1795 ms 60300 KB Output is correct
4 Correct 1221 ms 41156 KB Output is correct
5 Correct 808 ms 41700 KB Output is correct
6 Correct 1435 ms 50232 KB Output is correct
7 Correct 681 ms 47628 KB Output is correct
8 Correct 1806 ms 67488 KB Output is correct
9 Correct 486 ms 47992 KB Output is correct
10 Correct 15 ms 17656 KB Output is correct
11 Correct 1376 ms 41100 KB Output is correct
12 Correct 1972 ms 63624 KB Output is correct
13 Correct 1379 ms 40968 KB Output is correct
14 Correct 877 ms 40844 KB Output is correct
15 Correct 1657 ms 44168 KB Output is correct
16 Correct 550 ms 41464 KB Output is correct
17 Correct 1878 ms 53344 KB Output is correct
18 Correct 506 ms 47612 KB Output is correct
19 Correct 15 ms 17656 KB Output is correct
20 Incorrect 1413 ms 47500 KB Output isn't correct
21 Halted 0 ms 0 KB -

Subtask #6
0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 17656 KB Output is correct
2 Correct 19 ms 17656 KB Output is correct
3 Correct 15 ms 17660 KB Output is correct
4 Correct 15 ms 17656 KB Output is correct
5 Correct 15 ms 17656 KB Output is correct
6 Correct 15 ms 17656 KB Output is correct
7 Correct 15 ms 17660 KB Output is correct
8 Correct 15 ms 17656 KB Output is correct
9 Correct 15 ms 17656 KB Output is correct
10 Correct 15 ms 17656 KB Output is correct
11 Correct 15 ms 17656 KB Output is correct
12 Correct 14 ms 17656 KB Output is correct
13 Correct 1194 ms 40968 KB Output is correct
14 Correct 1795 ms 60300 KB Output is correct
15 Correct 1221 ms 41156 KB Output is correct
16 Correct 808 ms 41700 KB Output is correct
17 Correct 1435 ms 50232 KB Output is correct
18 Correct 681 ms 47628 KB Output is correct
19 Correct 1806 ms 67488 KB Output is correct
20 Correct 486 ms 47992 KB Output is correct
21 Correct 15 ms 17656 KB Output is correct
22 Correct 1376 ms 41100 KB Output is correct
23 Correct 1972 ms 63624 KB Output is correct
24 Correct 1379 ms 40968 KB Output is correct
25 Correct 877 ms 40844 KB Output is correct
26 Correct 1657 ms 44168 KB Output is correct
27 Correct 550 ms 41464 KB Output is correct
28 Correct 1878 ms 53344 KB Output is correct
29 Correct 506 ms 47612 KB Output is correct
30 Correct 15 ms 17656 KB Output is correct
31 Correct 54 ms 17912 KB Output is correct
32 Correct 19 ms 18040 KB Output is correct
33 Correct 64 ms 17912 KB Output is correct
34 Correct 56 ms 17912 KB Output is correct
35 Correct 55 ms 17912 KB Output is correct
36 Correct 59 ms 17912 KB Output is correct
37 Correct 58 ms 17912 KB Output is correct
38 Correct 62 ms 17964 KB Output is correct
39 Correct 58 ms 17912 KB Output is correct
40 Correct 52 ms 17912 KB Output is correct
41 Correct 80 ms 18040 KB Output is correct
42 Correct 94 ms 17912 KB Output is correct
43 Correct 25 ms 18040 KB Output is correct
44 Correct 101 ms 17944 KB Output is correct
45 Correct 15 ms 17656 KB Output is correct
46 Incorrect 1413 ms 47500 KB Output isn't correct
47 Halted 0 ms 0 KB -