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Submission #977741

# Submission time Handle Problem Language Result Execution time Memory
977741 2024-05-08T10:21:12 Z alexdd Min-max tree (BOI18_minmaxtree) C++17
100 / 100
 157 ms 33148 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++)
    {
        //cout<<i<<"  "<<lim[i].first<<" "<<care[i].first<<"  limita inferioara\n";
        //cout<<i<<"  "<<lim[i].second<<" "<<care[i].second<<"  limita superioara\n\n";
        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();
    int cate=0;
    for(int i=1;i<=k;i++)
    {
        if(tori[i]==0)
        {
            while(1);
        }
    }
    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;
}

Compilation message

minmaxtree.cpp: In function 'int main()':
minmaxtree.cpp:180:9: warning: unused variable 'cate' [-Wunused-variable]
  180 |     int cate=0;
      |         ^~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13148 KB Output is correct
2 Correct 3 ms 13300 KB Output is correct
3 Correct 3 ms 13148 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 94 ms 28240 KB Output is correct
2 Correct 115 ms 32340 KB Output is correct
3 Correct 114 ms 29700 KB Output is correct
4 Correct 86 ms 30800 KB Output is correct
5 Correct 104 ms 30732 KB Output is correct
6 Correct 84 ms 28752 KB Output is correct
7 Correct 74 ms 27624 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 21888 KB Output is correct
2 Correct 64 ms 23332 KB Output is correct
3 Correct 52 ms 23920 KB Output is correct
4 Correct 55 ms 25548 KB Output is correct
5 Correct 61 ms 23888 KB Output is correct
6 Correct 65 ms 24624 KB Output is correct
7 Correct 66 ms 23620 KB Output is correct
8 Correct 59 ms 23380 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13148 KB Output is correct
2 Correct 3 ms 13300 KB Output is correct
3 Correct 3 ms 13148 KB Output is correct
4 Correct 3 ms 13148 KB Output is correct
5 Correct 94 ms 28240 KB Output is correct
6 Correct 115 ms 32340 KB Output is correct
7 Correct 114 ms 29700 KB Output is correct
8 Correct 86 ms 30800 KB Output is correct
9 Correct 104 ms 30732 KB Output is correct
10 Correct 84 ms 28752 KB Output is correct
11 Correct 74 ms 27624 KB Output is correct
12 Correct 65 ms 21888 KB Output is correct
13 Correct 64 ms 23332 KB Output is correct
14 Correct 52 ms 23920 KB Output is correct
15 Correct 55 ms 25548 KB Output is correct
16 Correct 61 ms 23888 KB Output is correct
17 Correct 65 ms 24624 KB Output is correct
18 Correct 66 ms 23620 KB Output is correct
19 Correct 59 ms 23380 KB Output is correct
20 Correct 151 ms 33080 KB Output is correct
21 Correct 157 ms 33148 KB Output is correct
22 Correct 146 ms 32824 KB Output is correct
23 Correct 142 ms 32328 KB Output is correct
24 Correct 90 ms 30480 KB Output is correct
25 Correct 93 ms 32592 KB Output is correct
26 Correct 94 ms 31120 KB Output is correct
27 Correct 120 ms 30652 KB Output is correct
28 Correct 102 ms 29144 KB Output is correct
29 Correct 103 ms 30032 KB Output is correct
30 Correct 111 ms 29496 KB Output is correct
31 Correct 125 ms 29680 KB Output is correct
32 Correct 106 ms 29492 KB Output is correct
33 Correct 122 ms 30800 KB Output is correct
34 Correct 131 ms 30176 KB Output is correct
35 Correct 109 ms 29136 KB Output is correct