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Submission #977744

# Submission time Handle Problem Language Result Execution time Memory
977744 2024-05-08T10:21:48 Z alexdd Min-max tree (BOI18_minmaxtree) C++17
100 / 100
 154 ms 31080 KB 
#include<bits/stdc++.h>
using namespace std;
int n,k;
vector<int> con_cuplaj[140005];
int tole[140005],tori[140005];
void add_edge(int xle, int xri)
{
    con_cuplaj[xle].push_back(xri);
    con_cuplaj[xri].push_back(xle);
}
int visited[140005],pas;
bool cupleaza(int nod)
{
    if(visited[nod]==pas)
        return 0;
    visited[nod]=pas;
    for(auto x:con_cuplaj[nod])
    {
        if(tole[x]==0)
        {
            tori[nod]=x;
            tole[x]=nod;
            return 1;
        }
    }
    for(auto x:con_cuplaj[nod])
    {
        if(cupleaza(tole[x]))
        {
            tori[nod]=x;
            tole[x]=nod;
            return 1;
        }
    }
    return 0;
}
void cuplaj()
{
    while(1)
    {
        pas++;
        bool bl=0;
        for(int i=1;i<=k;i++)
            if(tori[i]==0)
                bl |= cupleaza(i);
        if(!bl)
            break;
    }
}

vector<int> con[70005];
pair<int,int> lim[70005];
pair<int,int> care[70005];
int val[70005];
vector<pair<pair<int,int>,int>> baga[70005];
vector<pair<pair<int,int>,int>> scoate[70005];

int parent[70005];
int depth[70005];
int head[70005];
int pos[70005],curpos;
int siz[70005];
int ord[70005];

void dfs_init(int nod)
{
    siz[nod]=1;
    for(auto adj:con[nod])
    {
        if(adj!=parent[nod])
        {
            parent[adj] = nod;
            depth[adj] = depth[nod]+1;
            dfs_init(adj);
            siz[nod] += siz[adj];
        }
    }
}
void decomp(int nod, int chead)
{
    pos[nod]=++curpos;
    ord[pos[nod]]=nod;
    head[nod]=chead;
    int maxc=-1,heavy=-1;
    for(auto adj:con[nod])
    {
        if(adj!=parent[nod] && siz[adj]>maxc)
        {
            maxc=siz[adj];
            heavy=adj;
        }
    }
    if(heavy!=-1)
        decomp(heavy,chead);
    for(auto adj:con[nod])
        if(adj!=parent[nod] && adj!=heavy)
            decomp(adj,adj);
}
void add_val(int le, int ri, pair<pair<int,int>,int> newv)
{
    if(le>ri)
        return;
    baga[le].push_back(newv);
    scoate[ri+1].push_back(newv);
}
void add_hld(int a, int b, pair<pair<int,int>,int> newv)
{
    for(;head[a]!=head[b];b=parent[head[b]])
    {
        if(depth[head[a]]>depth[head[b]])
            swap(a,b);
        add_val(pos[head[b]],pos[b],newv);
    }
    if(pos[a]>pos[b])
        swap(a,b);
    add_val(pos[a]+1,pos[b],newv);
}
signed main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);
    cin>>n;
    int a,b,c;
    for(int i=1;i<n;i++)
    {
        cin>>a>>b;
        con[a].push_back(b);
        con[b].push_back(a);
    }
    dfs_init(1);
    decomp(1,1);
    cin>>k;
    char ch;
    for(int i=1;i<=k;i++)
    {
        cin>>ch>>a>>b>>c;
        val[i]=c;
        if(ch=='M')
        {
            add_hld(a,b,{{c,i},1});
        }
        else
        {
            add_hld(a,b,{{c,i},0});
        }
    }
    set<pair<int,int>> s[2];
    for(int i=1;i<=n;i++)
    {
        for(auto x:scoate[i]) s[x.second].erase({x.first});
        for(auto x:baga[i]) s[x.second].insert({x.first});
        if(s[0].empty())
        {
            lim[ord[i]].first = -1;
            care[ord[i]].first = -1;
        }
        else
        {
            lim[ord[i]].first = (*prev(s[0].end())).first;
            care[ord[i]].first = (*prev(s[0].end())).second;
        }
        if(s[1].empty())
        {
            lim[ord[i]].second = -1;
            care[ord[i]].second = -1;
        }
        else
        {
            lim[ord[i]].second = (*s[1].begin()).first;
            care[ord[i]].second = (*s[1].begin()).second;
        }
    }
    for(int i=1;i<=n;i++)
    {
        if(care[i].first != -1) add_edge(care[i].first, k+i);
        if(care[i].second != -1) add_edge(care[i].second, k+i);
    }
    cuplaj();
    for(int i=2;i<=n;i++)
    {
        cout<<i<<" "<<parent[i]<<" ";
        if(tole[k+i]==0)
        {
            if(lim[i].first!=-1) cout<<lim[i].first<<"\n";
            else if(lim[i].second!=-1) cout<<lim[i].second<<"\n";
            else cout<<1<<"\n";
        }
        else
        {
            cout<<val[tole[k+i]]<<"\n";
        }
    }
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13144 KB Output is correct
2 Correct 3 ms 13148 KB Output is correct
3 Correct 2 ms 13144 KB Output is correct
4 Correct 3 ms 13148 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 85 ms 28424 KB Output is correct
2 Correct 121 ms 30036 KB Output is correct
3 Correct 110 ms 27652 KB Output is correct
4 Correct 85 ms 28496 KB Output is correct
5 Correct 97 ms 28328 KB Output is correct
6 Correct 82 ms 26196 KB Output is correct
7 Correct 77 ms 25480 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 22100 KB Output is correct
2 Correct 55 ms 22212 KB Output is correct
3 Correct 51 ms 22864 KB Output is correct
4 Correct 53 ms 24312 KB Output is correct
5 Correct 59 ms 22444 KB Output is correct
6 Correct 62 ms 23120 KB Output is correct
7 Correct 61 ms 22100 KB Output is correct
8 Correct 58 ms 21840 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13144 KB Output is correct
2 Correct 3 ms 13148 KB Output is correct
3 Correct 2 ms 13144 KB Output is correct
4 Correct 3 ms 13148 KB Output is correct
5 Correct 85 ms 28424 KB Output is correct
6 Correct 121 ms 30036 KB Output is correct
7 Correct 110 ms 27652 KB Output is correct
8 Correct 85 ms 28496 KB Output is correct
9 Correct 97 ms 28328 KB Output is correct
10 Correct 82 ms 26196 KB Output is correct
11 Correct 77 ms 25480 KB Output is correct
12 Correct 58 ms 22100 KB Output is correct
13 Correct 55 ms 22212 KB Output is correct
14 Correct 51 ms 22864 KB Output is correct
15 Correct 53 ms 24312 KB Output is correct
16 Correct 59 ms 22444 KB Output is correct
17 Correct 62 ms 23120 KB Output is correct
18 Correct 61 ms 22100 KB Output is correct
19 Correct 58 ms 21840 KB Output is correct
20 Correct 131 ms 30544 KB Output is correct
21 Correct 154 ms 31080 KB Output is correct
22 Correct 153 ms 30808 KB Output is correct
23 Correct 136 ms 30332 KB Output is correct
24 Correct 87 ms 28244 KB Output is correct
25 Correct 95 ms 30136 KB Output is correct
26 Correct 92 ms 28884 KB Output is correct
27 Correct 97 ms 28108 KB Output is correct
28 Correct 94 ms 26960 KB Output is correct
29 Correct 101 ms 27732 KB Output is correct
30 Correct 109 ms 27220 KB Output is correct
31 Correct 107 ms 27728 KB Output is correct
32 Correct 99 ms 26960 KB Output is correct
33 Correct 120 ms 28496 KB Output is correct
34 Correct 116 ms 27984 KB Output is correct
35 Correct 121 ms 26816 KB Output is correct