Submission #61695

# Submission time Handle Problem Language Result Execution time Memory
61695 2018-07-26T10:49:48 Z Diuven Min-max tree (BOI18_minmaxtree) C++11
22 / 100
507 ms 34532 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
const int MX=70010, inf=2e9, LG=18;

int n;
pii E[MX];

vector<int> G1[MX];
int nu[MX], ri[MX];
int sp[MX][LG], dep[MX];

void dfs1(int v, int p, int d=1){
    static int now=0;
    nu[v]=++now; ri[v]=nu[v]; dep[v]=d;
    for(int i=1; i<LG; i++) sp[v][i]=sp[sp[v][i-1]][i-1];
    for(int x:G1[v]) if(nu[x]==0) sp[x][0]=v, dfs1(x,v,d+1), ri[v]=max(ri[v], ri[x]);
}

void init_tree(){
    cin>>n;
    for(int i=1; i<n; i++){
        int u,v; cin>>u>>v;
        G1[u].push_back(v);
        G1[v].push_back(u);
        E[i]={u,v};
    }
    dfs1(1,-1);
}

int lca(int u, int v){
    if(dep[u]<dep[v]) swap(u,v);
    for(int i=LG-1; i>=0; i--)
        if(dep[u]-(1<<i)>=dep[v]) u=sp[u][i];
    if(u==v) return u;
    for(int i=LG-1; i>=0; i--)
        if(sp[u][i]!=sp[v][i]) u=sp[u][i], v=sp[v][i];
    return sp[u][0];
}

struct query{
    int v, p, z; bool ismx;
    bool operator < (const query &q) const {
        return nu[v]<nu[q.v];
    }
};
query Q[2*MX];
int q;
int pl[MX], pr[MX];

struct seg_st{
    pii tree1[1<<19];
    int tree2[1<<19], tree3[1<<19];
    void upt(int v, int s, int e, int pos){
        if(pos<s || e<pos) return;
        if(s==e){
            query y=Q[s];
            tree1[v]=pii(dep[y.p], s);
            tree2[v]=(y.ismx ? y.z : inf);
            tree3[v]=(y.ismx ? -1 : y.z);
            return;
        }
        upt(v*2,s,(s+e)/2,pos);
        upt(v*2+1,(s+e)/2+1,e,pos);
        tree1[v]=max(tree1[v*2], tree1[v*2+1]);
        tree2[v]=min(tree2[v*2], tree2[v*2+1]);
        tree3[v]=max(tree3[v*2], tree3[v*2+1]);
    }
    void erase(int pos){
        Q[pos]={0,0,-1,false};
        upt(1,1,q,pos);
    }
    pii qu1(int v, int s, int e, int l, int r){
        if(r<s || e<l) return pii(0,0);
        if(l<=s && e<=r) return tree1[v];
        return max(qu1(v*2,s,(s+e)/2,l,r), qu1(v*2+1,(s+e)/2+1,e,l,r));
    }
    pii qu1(int l, int r){
        l=max(1,l); r=min(r,q);
        if(r<l) return pii(0,0);
        return qu1(1,1,q,l,r);
    }
    int mx(int v, int s, int e, int l, int r){
        if(r<s || e<l) return inf;
        if(l<=s && e<=r) return tree2[v];
        return min(mx(v*2,s,(s+e)/2,l,r), mx(v*2+1,(s+e)/2+1,e,l,r));
    }
    int mx(int l, int r){
        if(r<l) return inf;
        return mx(1,1,q,l,r);
    }
    int mn(int v, int s, int e, int l, int r){
        if(r<s || e<l) return -1;
        if(l<=s && e<=r) return tree3[v];
        return max(mn(v*2,s,(s+e)/2,l,r), mn(v*2+1,(s+e)/2+1,e,l,r));
    }
    int mn(int l, int r){
        if(r<l) return -1;
        return mn(1,1,q,l,r);
    }
} Seg;

void init_seg(){
    for(int i=1; i<=q; i++) Seg.upt(1,1,q,i);
}

void init_query(){
    int k; cin>>k;
    for(int i=1; i<=k; i++){
        char x; int u,v,z; cin>>x>>u>>v>>z;
        if(dep[u]<dep[v]) swap(u,v);
        int p=lca(u,v);
        if(v==p) Q[++q]={u,p,z,x=='M'};
        else Q[++q]={u,p,z,x=='M'}, Q[++q]={v,p,z,x=='M'};
    }
    sort(Q+1, Q+q+1);
    int re[MX];
    for(int i=1; i<=n; i++) re[nu[i]]=i;
    for(int i=1; i<=n; i++){
        query tmp={re[i],0,0,0};
        pl[i]=lower_bound(Q+1, Q+q+1, tmp)-Q;
        pr[i]=upper_bound(Q+1, Q+q+1, tmp)-Q-1;
    }
    // for(int i=1; i<=q; i++) cout<<Q[i].v<<' '<<Q[i].p<<' '<<Q[i].z<<'\n';
    init_seg();
}

struct edge {
    int u, v, a, b;
};
vector<edge> F;

void dfs2(int v, int p){
    for(int x:G1[v]){
        if(x==p) continue;
        dfs2(x,v);
        int l=pl[nu[x]], r=pr[ri[x]];
        pii now=Seg.qu1(l, r);
        while(now.first>=dep[x]){
            Seg.erase(now.second);
            // cout<<"ERASED: "<<now.second<<'\n';
            now=Seg.qu1(l, r);
        }
        int mx=Seg.mx(l,r), mn=Seg.mn(l,r);
        F.push_back({x,v,mx,mn});
        // cout<<"!!: "<<"["<<l<<", "<<r<<"]: "<<v<<' '<<x<<": "<<mx<<' '<<mn<<'\n';
    }
}

vector<pii> G2[MX];
int ans[MX];
bool vis[MX];
vector<int> Z;

bool dfs3(int v, int pidx){
    vis[v]=true;
    bool outed=false;
    for(pii &e:G2[v]){
        int idx=e.second;
        if(idx==pidx) continue;
        int x=e.first;
        // cout<<v<<" - "<<x<<'\n';
        if(vis[x]) ans[idx]=Z[v-1], outed=true;
        else{
            if(!dfs3(x,idx)) ans[idx]=Z[x-1];
            else ans[idx]=Z[v-1], outed=true;
        }
    }
    return outed;
}

void find_edge(){
    dfs2(1,-1);
    for(int i=0; i<(int)F.size(); i++){
        edge &e=F[i];
        // cout<<e.u<<' '<<e.v<<": "<<e.a<<' '<<e.b<<'\n';
        if(e.a==inf && e.b<0) { e.a=e.b=inf; continue; }
        if(e.a==inf) e.a=e.b;
        if(e.b<0) e.b=e.a;
        Z.push_back(e.a);
        Z.push_back(e.b);
    }
    sort(Z.begin(), Z.end());
    Z.resize(unique(Z.begin(), Z.end())-Z.begin());
    for(int i=0; i<(int)F.size(); i++){
        edge &e=F[i];
        int x=lower_bound(Z.begin(), Z.end(), e.a)-Z.begin()+1;
        int y=lower_bound(Z.begin(), Z.end(), e.b)-Z.begin()+1;
        G2[x].push_back({y, i});
        G2[y].push_back({x, i});
    }
    for(int i=1; i<=(int)Z.size(); i++){
        if(!vis[i]) dfs3(i,-1);
    }
}

void show(){
    for(int i=0; i<(int)F.size(); i++){
        cout<<F[i].u<<' '<<F[i].v<<' '<<ans[i]<<'\n';
    }
}

int main(){
    ios::sync_with_stdio(0); cin.tie(0);
    init_tree();
    init_query();
    find_edge();
    show();
    return 0;
}
# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 7800 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 507 ms 32760 KB Output is correct
2 Correct 414 ms 32760 KB Output is correct
3 Correct 434 ms 32760 KB Output is correct
4 Correct 452 ms 34532 KB Output is correct
5 Correct 456 ms 34532 KB Output is correct
6 Correct 419 ms 34532 KB Output is correct
7 Correct 350 ms 34532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 336 ms 34532 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 7800 KB Output isn't correct
2 Halted 0 ms 0 KB -