Submission #859523

# Submission time Handle Problem Language Result Execution time Memory
859523 2023-10-10T09:22:32 Z 1075508020060209tc Min-max tree (BOI18_minmaxtree) C++14
29 / 100
391 ms 70864 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long
int n;int Q;
int ar[100005];
int br[100005];
vector<int>e[70005];
vector<int>mxq[70005];
vector<int>mnq[70005];
vector<int>dmx[70005];
vector<int>dmn[70005];
int mxlm[70005];
int mnlm[70005];
char typ[70005];int ina[100005];int inb[100005];int inz[100005];
int jmp[20][100005];
int dph[100005];
void fdfs(int nw,int pa){
jmp[0][nw]=pa;
dph[nw]=dph[pa]+1;
for(int i=0;i<e[nw].size();i++){
    int id=e[nw][i];
    int v=ar[id]^br[id]^nw;
    if(v==pa){continue;}
    fdfs(v,nw);
}
}
int lca(int a,int b){
if(a==b){return a;}
if(dph[a]>dph[b]){swap(a,b);}
for(int i=19;i>=0;i--){
    if(dph[jmp[i][b]]>=dph[a]){
        b=jmp[i][b];
    }
}
if(a==b){return a;}
for(int i=19;i>=0;i--){
    if(jmp[i][a]!=jmp[i][b]){
        a=jmp[i][a];b=jmp[i][b];
    }
}
return jmp[0][a];
}

multiset<int>mxdp[70005];
multiset<int>mndp[70005];
void dfs(int nw,int pa,int paid){
if(e[nw].size()==1&&nw!=1){
    for(int i=0;i<mxq[nw].size();i++){
        mxdp[nw].insert(mxq[nw][i]);
    }
    if(mxdp[nw].size()){
        mxlm[paid]=*(mxdp[nw].begin());
    }
    return;
}

int zo=nw^ar[e[nw][0]]^br[e[nw][0]];
for(int i=0;i<e[nw].size();i++){
    int id=e[nw][i];
    int v=ar[id]^br[id]^nw;
    if(v==pa){continue;}
    dfs(v,nw,id);
    if(mxdp[v].size()>mxdp[zo].size()){
        zo=v;
        swap(e[nw][0],e[nw][i]);
    }
}
swap(mxdp[nw],mxdp[zo]);
for(int i=1;i<e[nw].size();i++){
    int id=e[nw][i];
    int v=ar[id]^br[id]^nw;
    if(v==pa){continue;}
    for(auto it=mxdp[v].begin();it!=mxdp[v].end();it++){
        mxdp[nw].insert((*it));
    }
}
for(int i=0;i<mxq[nw].size();i++){
    mxdp[nw].insert(mxq[nw][i]);
}
for(int i=0;i<dmx[nw].size();i++){
    mxdp[nw].erase(mxdp[nw].find(dmx[nw][i]));
    mxdp[nw].erase(mxdp[nw].find(dmx[nw][i]));
}
if(mxdp[nw].size()){
    mxlm[paid]=*(mxdp[nw].begin());
}
}

void dfs2(int nw,int pa,int paid){
if(e[nw].size()==1&&nw!=1){
    for(int i=0;i<mnq[nw].size();i++){
        mndp[nw].insert(mnq[nw][i]);
    }
    if(mndp[nw].size()){
        mnlm[paid]=*(mndp[nw].rbegin());
    }
    return;
}

int zo=nw^ar[e[nw][0]]^br[e[nw][0]];
for(int i=0;i<e[nw].size();i++){
    int id=e[nw][i];
    int v=ar[id]^br[id]^nw;
    if(v==pa){continue;}
    dfs2(v,nw,id);
    if(mndp[v].size()>mndp[zo].size()){
        zo=v;
        swap(e[nw][0],e[nw][i]);
    }
}
swap(mndp[nw],mndp[zo]);
for(int i=1;i<e[nw].size();i++){
    int id=e[nw][i];
    int v=ar[id]^br[id]^nw;
    if(v==pa){continue;}
    for(auto it=mndp[v].begin();it!=mndp[v].end();it++){
        mndp[nw].insert((*it));
    }
}
for(int i=0;i<mnq[nw].size();i++){
    mndp[nw].insert(mnq[nw][i]);
}
for(int i=0;i<dmn[nw].size();i++){
    mndp[nw].erase(mndp[nw].find(dmn[nw][i]));
    mndp[nw].erase(mndp[nw].find(dmn[nw][i]));
}
if(mndp[nw].size()){
    mnlm[paid]=*(mndp[nw].rbegin());
}
}

void build(){
fdfs(1,0);
for(int i=1;i<=19;i++){
    for(int j=1;j<=n;j++){
        jmp[i][j]=jmp[i-1][jmp[i-1][j]];
    }
}
for(int i=1;i<=Q;i++){
    if(typ[i]=='M'){
        mxq[ina[i]].push_back(inz[i]);
        mxq[inb[i]].push_back(inz[i]);
        dmx[lca(ina[i],inb[i])].push_back(inz[i]);
    }else{
        mnq[ina[i]].push_back(inz[i]);
        mnq[inb[i]].push_back(inz[i]);
        dmn[lca(ina[i],inb[i])].push_back(inz[i]);
    }
}
for(int i=1;i<=n-1;i++){
    mxlm[i]=1e12;
    mnlm[i]=-mxlm[i];
}
dfs(1,0,0);
dfs2(1,0,0);
}
map<int,int>mp;int rmp[200005];
void lisanhua(){
vector<int>vc;
for(int i=1;i<=Q;i++){
    vc.push_back(inz[i]);
}
sort(vc.begin(),vc.end());
for(int i=0;i<Q;i++){
    mp[vc[i]]=i+1;
    rmp[i+1]=vc[i];
}
}
int vis[200005];
int hs[200005];
int ans[200005];
int dgr[200005];
int vvis[200005];
vector<pair<int,int>>ne[200005];
signed main(){
cin>>n;
for(int i=1;i<=n-1;i++){
    cin>>ar[i]>>br[i];
    e[ar[i]].push_back(i);
    e[br[i]].push_back(i);
}
cin>>Q;
for(int i=1;i<=Q;i++){
    cin>>typ[i]>>ina[i]>>inb[i]>>inz[i];
    if(inz[i]<=0){assert(0);}
}
build();/*
for(int i=1;i<=n-1;i++){
    cout<<mnlm[i]<<" "<<mxlm[i]<<endl;
}*/
lisanhua();


for(int i=1;i<=n-1;i++){
    int cnt=0;
    if(mnlm[i]<=1e9&&mnlm[i]>=-1e9){
        //mnlm[i]=mp[mnlm[i]];
        cnt++;
    }
    if(mxlm[i]<=1e9&&mxlm[i]>=-1e9){
       // mxlm[i]=mp[mxlm[i]];
        cnt++;
    }
    if(cnt==0){
        ans[i]=1e9;
        continue;
    }
    if(cnt==1){
        if(abs(mxlm[i])<=1e9){
            vis[i]=1;
            hs[mp[mxlm[i]]]=1;
            ans[i]=mxlm[i];
        }else{
            vis[i]=1;
            hs[mp[mnlm[i]]]=1;
            ans[i]=mnlm[i];
        }
        continue;
    }
    ne[mp[mxlm[i]]].push_back({mp[mnlm[i]],i});
    ne[mp[mnlm[i]]].push_back({mp[mxlm[i]],i});
    dgr[mp[mxlm[i]]]++;
    dgr[mp[mnlm[i]]]++;
}/*
for(int i=1;i<=n-1;i++){
    cout<<mnlm[i]<<" "<<mxlm[i]<<endl;
}*/
queue<int>q;
for(int i=1;i<=Q;i++){
    if(dgr[i]==1){
        q.push(i);
    }
}

while(q.size()){
    int nw=q.front();
    q.pop();
    vvis[nw]=1;
    for(int i=0;i<ne[nw].size();i++){
        int eid=ne[nw][i].second;
        if(vis[eid]){continue;}
        int v=ne[nw][i].first;
        vis[eid]=1;
        dgr[v]--;
        if(dgr[v]<=1){
            q.push(v);
        }
        if(hs[nw]==0){
            ans[eid]=rmp[nw];
            hs[nw]=1;
        }else{
            ans[eid]=rmp[v];
            hs[v]=1;
        }
    }
}


for(int nw=Q;nw>=1;nw--){
    if(vvis[nw]){continue;}
    for(int i=0;i<ne[nw].size();i++){
        int eid=ne[nw][i].second;
        if(vis[eid]){continue;}
        int v=ne[nw][i].first;
        vis[eid]=1;
        if(hs[nw]==0){
            ans[eid]=rmp[nw];
            hs[nw]=1;
        }else{
            ans[eid]=rmp[v];
            hs[v]=1;
        }
    }
}
for(int i=1;i<=n-1;i++){
    cout<<ar[i]<<" "<<br[i]<<" "<<ans[i]<<endl;
}


}

Compilation message

minmaxtree.cpp: In function 'void fdfs(long long int, long long int)':
minmaxtree.cpp:20:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   20 | for(int i=0;i<e[nw].size();i++){
      |             ~^~~~~~~~~~~~~
minmaxtree.cpp: In function 'void dfs(long long int, long long int, long long int)':
minmaxtree.cpp:48:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   48 |     for(int i=0;i<mxq[nw].size();i++){
      |                 ~^~~~~~~~~~~~~~~
minmaxtree.cpp:58:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 | for(int i=0;i<e[nw].size();i++){
      |             ~^~~~~~~~~~~~~
minmaxtree.cpp:69:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 | for(int i=1;i<e[nw].size();i++){
      |             ~^~~~~~~~~~~~~
minmaxtree.cpp:77:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   77 | for(int i=0;i<mxq[nw].size();i++){
      |             ~^~~~~~~~~~~~~~~
minmaxtree.cpp:80:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 | for(int i=0;i<dmx[nw].size();i++){
      |             ~^~~~~~~~~~~~~~~
minmaxtree.cpp: In function 'void dfs2(long long int, long long int, long long int)':
minmaxtree.cpp:91:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   91 |     for(int i=0;i<mnq[nw].size();i++){
      |                 ~^~~~~~~~~~~~~~~
minmaxtree.cpp:101:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  101 | for(int i=0;i<e[nw].size();i++){
      |             ~^~~~~~~~~~~~~
minmaxtree.cpp:112:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 | for(int i=1;i<e[nw].size();i++){
      |             ~^~~~~~~~~~~~~
minmaxtree.cpp:120:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  120 | for(int i=0;i<mnq[nw].size();i++){
      |             ~^~~~~~~~~~~~~~~
minmaxtree.cpp:123:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 | for(int i=0;i<dmn[nw].size();i++){
      |             ~^~~~~~~~~~~~~~~
minmaxtree.cpp: In function 'int main()':
minmaxtree.cpp:239:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  239 |     for(int i=0;i<ne[nw].size();i++){
      |                 ~^~~~~~~~~~~~~~
minmaxtree.cpp:261:18: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  261 |     for(int i=0;i<ne[nw].size();i++){
      |                 ~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 9 ms 49752 KB Output is correct
2 Correct 7 ms 49756 KB Output is correct
3 Correct 7 ms 49756 KB Output is correct
4 Correct 7 ms 49756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 364 ms 68252 KB Output is correct
2 Correct 365 ms 70864 KB Output is correct
3 Correct 307 ms 66076 KB Output is correct
4 Correct 391 ms 68456 KB Output is correct
5 Correct 329 ms 67572 KB Output is correct
6 Correct 311 ms 64996 KB Output is correct
7 Correct 297 ms 63700 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 213 ms 59384 KB Output is correct
2 Correct 208 ms 59648 KB Output is correct
3 Correct 204 ms 61240 KB Output is correct
4 Correct 203 ms 63344 KB Output is correct
5 Correct 224 ms 59896 KB Output is correct
6 Correct 250 ms 60700 KB Output is correct
7 Correct 226 ms 59632 KB Output is correct
8 Incorrect 220 ms 59148 KB Output isn't correct
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 9 ms 49752 KB Output is correct
2 Correct 7 ms 49756 KB Output is correct
3 Correct 7 ms 49756 KB Output is correct
4 Correct 7 ms 49756 KB Output is correct
5 Correct 364 ms 68252 KB Output is correct
6 Correct 365 ms 70864 KB Output is correct
7 Correct 307 ms 66076 KB Output is correct
8 Correct 391 ms 68456 KB Output is correct
9 Correct 329 ms 67572 KB Output is correct
10 Correct 311 ms 64996 KB Output is correct
11 Correct 297 ms 63700 KB Output is correct
12 Correct 213 ms 59384 KB Output is correct
13 Correct 208 ms 59648 KB Output is correct
14 Correct 204 ms 61240 KB Output is correct
15 Correct 203 ms 63344 KB Output is correct
16 Correct 224 ms 59896 KB Output is correct
17 Correct 250 ms 60700 KB Output is correct
18 Correct 226 ms 59632 KB Output is correct
19 Incorrect 220 ms 59148 KB Output isn't correct
20 Halted 0 ms 0 KB -