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Submission #990412

# Submission time Handle Problem Language Result Execution time Memory
990412 2024-05-30T11:18:51 Z huutuan Islands (IOI08_islands) C++14
90 / 100
 398 ms 131072 KB 
#include<bits/stdc++.h>

using namespace std;

const int N=1e6+10;
int n, vis[N], par[N], wpar[N], on_cycle[N];
vector<pair<int, int>> g[N];
long long pf[N], f[N][2];

void dfs(int u){
   vis[u]=1;
   long long mx1=-1e18, mx2=-1e18;
   for (auto &e:g[u]){
      int v=e.first, w=e.second;
      if (on_cycle[v]) continue;
      dfs(v);
      long long val=f[v][0]+w;
      f[u][0]=max(f[u][0], val);
      f[u][1]=max(f[u][1], f[v][1]);
      if (mx1<val) mx2=mx1, mx1=val;
      else mx2=max(mx2, val);
   }
   f[u][1]=max({f[u][1], f[u][0], mx1+mx2});
}

int32_t main(){
   ios_base::sync_with_stdio(false);
   cin.tie(nullptr);
   cin >> n;
   for (int i=1; i<=n; ++i){
      int j, k; cin >> j >> k;
      g[j].emplace_back(i, k);
      par[i]=j;
      wpar[i]=k;
   }
   vector<int> cycle;
   long long ans=0;
   for (int i=1; i<=n; ++i) if (!vis[i]){
      cycle.clear();
      long long cur=0;
      int u=i;
      while (1){
         if (vis[u]) break;
         vis[u]=1;
         cycle.push_back(u);
         u=par[u];
      }
      cycle.erase(cycle.begin(), find(cycle.begin(), cycle.end(), u));
      for (int v:cycle) on_cycle[v]=1;
      for (int v:cycle){
         dfs(v);
         cur=max(cur, f[v][1]);
      }
      for (int j=1; j<=(int)cycle.size(); ++j){
         pf[j]=pf[j-1]+wpar[cycle[j-1]];
      }
      long long sum=pf[(int)cycle.size()];
      long long mx1=-1e18, mx2=-1e18;
      for (int j=0; j<(int)cycle.size(); ++j){
         cur=max(cur, f[cycle[j]][0]+pf[j]+mx1);
         cur=max(cur, f[cycle[j]][0]-pf[j]+mx2);
         mx1=max(mx1, f[cycle[j]][0]-pf[j]);
         mx2=max(mx2, f[cycle[j]][0]+sum+pf[j]);
      }
      ans+=cur;
   }
   cout << ans << '\n';
   return 0;
}

Subtask #1
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 29020 KB Output is correct
2 Correct 4 ms 29020 KB Output is correct
3 Correct 4 ms 29020 KB Output is correct
4 Correct 4 ms 29020 KB Output is correct
5 Correct 4 ms 29128 KB Output is correct
6 Correct 4 ms 29020 KB Output is correct
7 Correct 4 ms 29020 KB Output is correct
8 Correct 4 ms 29020 KB Output is correct
9 Correct 4 ms 29020 KB Output is correct
10 Correct 4 ms 29020 KB Output is correct
11 Correct 4 ms 29224 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29020 KB Output is correct
2 Correct 4 ms 29276 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 29276 KB Output is correct
2 Correct 5 ms 29268 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 29788 KB Output is correct
2 Correct 11 ms 30584 KB Output is correct
3 Correct 9 ms 30044 KB Output is correct
4 Correct 7 ms 29472 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 31324 KB Output is correct
2 Correct 19 ms 33496 KB Output is correct

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 41300 KB Output is correct
2 Correct 41 ms 47580 KB Output is correct
3 Correct 49 ms 48576 KB Output is correct

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 52308 KB Output is correct
2 Correct 80 ms 57536 KB Output is correct
3 Correct 86 ms 69572 KB Output is correct
4 Correct 104 ms 66496 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 137 ms 61872 KB Output is correct
2 Correct 296 ms 83900 KB Output is correct
3 Correct 121 ms 67924 KB Output is correct
4 Correct 174 ms 79048 KB Output is correct
5 Correct 149 ms 77244 KB Output is correct
6 Correct 398 ms 75600 KB Output is correct
7 Correct 157 ms 81852 KB Output is correct

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 176 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -