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Submission #588735

# Submission time Handle Problem Language Result Execution time Memory
588735 2022-07-04T01:34:43 Z Bench0310 Islands (IOI08_islands) C++17
90 / 100
 807 ms 131072 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

const int N=1000001;
int u[N];
int vidx[N];
int ucost[N];
ll dp[N];
ll down[N];
array<int,3> v[2*N];
int vsz=0;
int badidx=2*N;
int cycle[N];
int cyclesz=0;
int in_cycle=0;

int find_set(int a)
{
    if(a==u[a]) return a;
    else return u[a]=find_set(u[a]);
}

int merge_sets(int a,int b)
{
    a=find_set(a);
    b=find_set(b);
    if(a==b) return 0;
    u[b]=a;
    return 1;
}

void chmax(ll &a,ll b){a=max(a,b);}

void dfs(int a)
{
    cycle[cyclesz++]=a;
    ll one=0,two=0;
    for(int i=vidx[a];i<vsz&&v[i][0]==a;i++)
    {
        auto [_,to,c]=v[i];
        if(to==u[a]) continue;
        u[to]=a;
        ucost[to]=c;
        dfs(to);
        ll len=c+down[to];
        if(len>one){two=one; one=len;}
        else if(len>two){two=len;}
        chmax(dp[a],dp[to]);
        chmax(down[a],len);
    }
    chmax(dp[a],one+two);
}

void go(int a,int p)
{
    for(int i=vidx[a];i<vsz&&v[i][0]==a;i++)
    {
        auto [_,to,c]=v[i];
        if(to==p||to==in_cycle) continue;
        go(to,a);
        chmax(down[a],c+down[to]);
    }
}

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    for(int i=1;i<=n;i++) u[i]=i;
    for(int a=1;a<=n;a++)
    {
        int b,c;
        cin >> b >> c;
        if(merge_sets(a,b))
        {
            v[vsz++]={a,b,c};
            v[vsz++]={b,a,c};
        }
        else v[--badidx]={a,b,c};
    }
    sort(v,v+vsz);
    for(int i=vsz-1;i>=0;i--) vidx[v[i][0]]=i;
    ll res=0;
    memset(u,0,sizeof(u));
    for(int o=2*N-1;o>=badidx;o--)
    {
        auto [x,y,bad_cost]=v[o];
        dfs(x);
        ll now=dp[x];
        for(int i=0;i<cyclesz;i++) down[cycle[i]]=dp[cycle[i]]=0;
        cyclesz=0;
        int t=y;
        while(t!=0)
        {
            cycle[cyclesz++]=t;
            t=u[t];
        }
        for(int i=0;i<cyclesz;i++)
        {
            if(i+1<cyclesz) in_cycle=cycle[i+1];
            go(cycle[i],(i>0?cycle[i-1]:0));
        }
        ll path=0;
        for(int i=0;i<cyclesz;i++)
        {
            if(i>0) dp[cycle[i]]=dp[cycle[i-1]];
            chmax(dp[cycle[i]],path+down[cycle[i]]);
            path+=ucost[cycle[i]];
        }
        path=0;
        ll opt=0;
        for(int i=cyclesz-1;i>=0;i--)
        {
            path+=ucost[cycle[i]];
            chmax(opt,path+down[cycle[i]]);
            if(i>0) chmax(now,dp[cycle[i-1]]+bad_cost+opt);
        }
        res+=now;
        cyclesz=0;
    }
    cout << res << "\n";
    return 0;
}

Subtask #1
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4180 KB Output is correct
2 Correct 2 ms 4180 KB Output is correct
3 Correct 2 ms 4308 KB Output is correct
4 Correct 2 ms 4180 KB Output is correct
5 Correct 2 ms 4180 KB Output is correct
6 Correct 2 ms 4180 KB Output is correct
7 Correct 2 ms 4180 KB Output is correct
8 Correct 2 ms 4180 KB Output is correct
9 Correct 2 ms 4180 KB Output is correct
10 Correct 2 ms 4180 KB Output is correct
11 Correct 2 ms 4180 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4308 KB Output is correct
2 Correct 2 ms 4308 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4308 KB Output is correct
2 Correct 4 ms 4600 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 5160 KB Output is correct
2 Correct 19 ms 7508 KB Output is correct
3 Correct 11 ms 5376 KB Output is correct
4 Correct 6 ms 4788 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 8616 KB Output is correct
2 Correct 41 ms 10596 KB Output is correct

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 16284 KB Output is correct
2 Correct 76 ms 22532 KB Output is correct
3 Correct 98 ms 31004 KB Output is correct

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 123 ms 24460 KB Output is correct
2 Correct 180 ms 48456 KB Output is correct
3 Correct 181 ms 58000 KB Output is correct
4 Correct 227 ms 73124 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 415 ms 59388 KB Output is correct
2 Correct 566 ms 102076 KB Output is correct
3 Correct 277 ms 43220 KB Output is correct
4 Correct 323 ms 81272 KB Output is correct
5 Correct 337 ms 82004 KB Output is correct
6 Correct 807 ms 52256 KB Output is correct
7 Correct 347 ms 110564 KB Output is correct

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Runtime error 322 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -