oj.uz

Submission #931382

# Submission time Handle Problem Language Result Execution time Memory
931382 2024-02-21T17:19:12 Z alexander707070 Construction of Highway (JOI18_construction) C++14
16 / 100
 2000 ms 32416 KB 
#include<bits/stdc++.h>
#define MAXN 200007
using namespace std;

const int inf=1e9+7;

int n,c[MAXN],a[MAXN],b[MAXN],sz[MAXN],heavy[MAXN],parent[MAXN];
int pos[MAXN],head[MAXN],tt,lazy[4*MAXN],dep[MAXN];
pair<int,int> tree[4*MAXN],curr;

vector<int> v[MAXN];
vector< pair<int,int> > w;

void dfs(int x,int p,int d){

    parent[x]=p; dep[x]=d;
    sz[x]=1;

    for(int i=0;i<v[x].size();i++){
        if(v[x][i]==p)continue;
        dfs(v[x][i],x,d+1);
        if(sz[v[x][i]]>sz[heavy[x]])heavy[x]=v[x][i];

        sz[x]+=sz[v[x][i]];
    }
}

void decompose(int x,int p,int h){
    tt++; pos[x]=tt; head[x]=h;

    if(heavy[x]!=0){
        decompose(heavy[x],x,h);
    }

    for(int i=0;i<v[x].size();i++){
        if(v[x][i]==p or v[x][i]==heavy[x])continue;
        decompose(v[x][i],x,v[x][i]);
    }
}

void psh(int v){
    if(lazy[v]==0)return;

    tree[2*v].first=tree[2*v].second=lazy[v];
    tree[2*v+1].first=tree[2*v+1].second=lazy[v];

    lazy[2*v]=lazy[2*v+1]=lazy[v];

    lazy[v]=0;
}

pair<int,int> combine(pair<int,int> fr,pair<int,int> sc){
    return {min(fr.first,sc.first),max(fr.second,sc.second)};
}

void update(int v,int l,int r,int ll,int rr,int val){
    if(ll>rr)return;
    if(l==ll and r==rr){
        tree[v].first=tree[v].second=val;
        lazy[v]=val;
    }else{
        psh(v);
        int tt=(l+r)/2;
        update(2*v,l,tt,ll,min(tt,rr),val);
        update(2*v+1,tt+1,r,max(tt+1,ll),rr,val);

        tree[v]=combine(tree[2*v],tree[2*v+1]);
    }
}

pair<int,int> info(int v,int l,int r,int ll,int rr){
    if(ll>rr)return{inf,0};

    if(l==ll and r==rr){
        return tree[v];
    }else{
        psh(v);
        int tt=(l+r)/2;
        return combine( info(2*v,l,tt,ll,min(tt,rr)) , info(2*v+1,tt+1,r,max(tt+1,ll),rr) );
    }
}

void upgrade(int x,int val){
    while(x!=0){
        update(1,1,n,pos[head[x]],pos[x],val);
        x=parent[head[x]];
    }
}

void add_segments(int l,int r){

    while(r>=l){
        int ll=l-1,rr=r,mid;
        while(ll+1<rr){
            mid=(ll+rr)/2;

            curr=info(1,1,n,mid,r);
            if(curr.first==curr.second){
                rr=mid;
            }else{
                ll=mid;
            }
        }

        curr=info(1,1,n,rr,r);
        w.push_back({curr.first,r-rr+1});
        r=rr-1;
    }
}

long long query(int x){
    long long ans=0;

    w.clear();

    while(x!=0){
        add_segments(pos[head[x]],pos[x]);
        x=parent[head[x]];
    }

    for(int i=0;i<w.size();i++){
        for(int f=i+1;f<w.size();f++){
            if(w[i].first<w[f].first)ans+=(long long) w[i].second*w[f].second;
        }
    }

    return ans;
}

int main(){

    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin>>n;
    for(int i=1;i<=n;i++){
        cin>>c[i];
    }

    for(int i=1;i<=n-1;i++){
        cin>>a[i]>>b[i];
        v[a[i]].push_back(b[i]);
        v[b[i]].push_back(a[i]);
    }

    dfs(1,0,1);
    decompose(1,0,1);

    for(int i=1;i<=n;i++){
        update(1,1,n,pos[i],pos[i],c[i]);
    }

    for(int i=1;i<=n-1;i++){
        cout<<query(a[i])<<"\n";
        upgrade(b[i],c[b[i]]);
    }

    return 0;
}

Compilation message

construction.cpp: In function 'void dfs(int, int, int)':
construction.cpp:19:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   19 |     for(int i=0;i<v[x].size();i++){
      |                 ~^~~~~~~~~~~~
construction.cpp: In function 'void decompose(int, int, int)':
construction.cpp:35:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   35 |     for(int i=0;i<v[x].size();i++){
      |                 ~^~~~~~~~~~~~
construction.cpp: In function 'long long int query(int)':
construction.cpp:121:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  121 |     for(int i=0;i<w.size();i++){
      |                 ~^~~~~~~~~
construction.cpp:122:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  122 |         for(int f=i+1;f<w.size();f++){
      |                       ~^~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 2 ms 14984 KB Output is correct
3 Correct 2 ms 14940 KB Output is correct
4 Correct 3 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 3 ms 14940 KB Output is correct
8 Correct 3 ms 14940 KB Output is correct
9 Correct 3 ms 14940 KB Output is correct
10 Correct 3 ms 14996 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14940 KB Output is correct
13 Correct 5 ms 14940 KB Output is correct
14 Correct 3 ms 14936 KB Output is correct
15 Correct 4 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 3 ms 14936 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 3 ms 14940 KB Output is correct
22 Correct 4 ms 14952 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14940 KB Output is correct
25 Correct 4 ms 14940 KB Output is correct
26 Correct 3 ms 14936 KB Output is correct
27 Correct 3 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14936 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14936 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 3 ms 14940 KB Output is correct
34 Correct 3 ms 14956 KB Output is correct
35 Correct 4 ms 15196 KB Output is correct
36 Correct 3 ms 14940 KB Output is correct
37 Correct 4 ms 14936 KB Output is correct
38 Correct 3 ms 14940 KB Output is correct
39 Correct 3 ms 14940 KB Output is correct
40 Correct 3 ms 14940 KB Output is correct
41 Correct 3 ms 14940 KB Output is correct
42 Correct 3 ms 14940 KB Output is correct
43 Correct 4 ms 14940 KB Output is correct
44 Correct 4 ms 14944 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 2 ms 14984 KB Output is correct
3 Correct 2 ms 14940 KB Output is correct
4 Correct 3 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 3 ms 14940 KB Output is correct
8 Correct 3 ms 14940 KB Output is correct
9 Correct 3 ms 14940 KB Output is correct
10 Correct 3 ms 14996 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14940 KB Output is correct
13 Correct 5 ms 14940 KB Output is correct
14 Correct 3 ms 14936 KB Output is correct
15 Correct 4 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 3 ms 14936 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 3 ms 14940 KB Output is correct
22 Correct 4 ms 14952 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14940 KB Output is correct
25 Correct 4 ms 14940 KB Output is correct
26 Correct 3 ms 14936 KB Output is correct
27 Correct 3 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14936 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14936 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 3 ms 14940 KB Output is correct
34 Correct 3 ms 14956 KB Output is correct
35 Correct 4 ms 15196 KB Output is correct
36 Correct 3 ms 14940 KB Output is correct
37 Correct 4 ms 14936 KB Output is correct
38 Correct 3 ms 14940 KB Output is correct
39 Correct 3 ms 14940 KB Output is correct
40 Correct 3 ms 14940 KB Output is correct
41 Correct 3 ms 14940 KB Output is correct
42 Correct 3 ms 14940 KB Output is correct
43 Correct 4 ms 14940 KB Output is correct
44 Correct 4 ms 14944 KB Output is correct
45 Correct 4 ms 14936 KB Output is correct
46 Correct 11 ms 15212 KB Output is correct
47 Correct 13 ms 15600 KB Output is correct
48 Correct 11 ms 15196 KB Output is correct
49 Correct 13 ms 15452 KB Output is correct
50 Correct 12 ms 15448 KB Output is correct
51 Correct 12 ms 15332 KB Output is correct
52 Correct 16 ms 15340 KB Output is correct
53 Correct 19 ms 15196 KB Output is correct
54 Correct 19 ms 15196 KB Output is correct
55 Correct 19 ms 15356 KB Output is correct
56 Correct 15 ms 15192 KB Output is correct
57 Correct 15 ms 14940 KB Output is correct
58 Correct 16 ms 15192 KB Output is correct
59 Correct 16 ms 15196 KB Output is correct
60 Correct 16 ms 15192 KB Output is correct
61 Correct 16 ms 15196 KB Output is correct
62 Correct 16 ms 15192 KB Output is correct
63 Correct 16 ms 15192 KB Output is correct
64 Correct 10 ms 14940 KB Output is correct
65 Correct 10 ms 15196 KB Output is correct
66 Correct 11 ms 15196 KB Output is correct
67 Correct 11 ms 15188 KB Output is correct
68 Correct 12 ms 15452 KB Output is correct
69 Correct 16 ms 15196 KB Output is correct
70 Correct 19 ms 15196 KB Output is correct
71 Correct 15 ms 15328 KB Output is correct
72 Correct 15 ms 15196 KB Output is correct
73 Correct 16 ms 14940 KB Output is correct
74 Correct 16 ms 15196 KB Output is correct
75 Correct 14 ms 15448 KB Output is correct
76 Correct 14 ms 15196 KB Output is correct
77 Correct 13 ms 15004 KB Output is correct
78 Correct 14 ms 15192 KB Output is correct
79 Correct 16 ms 15196 KB Output is correct
80 Correct 13 ms 15212 KB Output is correct
81 Correct 16 ms 15196 KB Output is correct
82 Correct 16 ms 15248 KB Output is correct
83 Correct 15 ms 15196 KB Output is correct
84 Correct 15 ms 15196 KB Output is correct
85 Correct 15 ms 15196 KB Output is correct
86 Correct 14 ms 15196 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14940 KB Output is correct
2 Correct 2 ms 14984 KB Output is correct
3 Correct 2 ms 14940 KB Output is correct
4 Correct 3 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 3 ms 14940 KB Output is correct
7 Correct 3 ms 14940 KB Output is correct
8 Correct 3 ms 14940 KB Output is correct
9 Correct 3 ms 14940 KB Output is correct
10 Correct 3 ms 14996 KB Output is correct
11 Correct 4 ms 14940 KB Output is correct
12 Correct 4 ms 14940 KB Output is correct
13 Correct 5 ms 14940 KB Output is correct
14 Correct 3 ms 14936 KB Output is correct
15 Correct 4 ms 14940 KB Output is correct
16 Correct 3 ms 14940 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 3 ms 14936 KB Output is correct
19 Correct 3 ms 14940 KB Output is correct
20 Correct 3 ms 14940 KB Output is correct
21 Correct 3 ms 14940 KB Output is correct
22 Correct 4 ms 14952 KB Output is correct
23 Correct 3 ms 14940 KB Output is correct
24 Correct 3 ms 14940 KB Output is correct
25 Correct 4 ms 14940 KB Output is correct
26 Correct 3 ms 14936 KB Output is correct
27 Correct 3 ms 14940 KB Output is correct
28 Correct 3 ms 14940 KB Output is correct
29 Correct 3 ms 14936 KB Output is correct
30 Correct 3 ms 14940 KB Output is correct
31 Correct 3 ms 14936 KB Output is correct
32 Correct 3 ms 14940 KB Output is correct
33 Correct 3 ms 14940 KB Output is correct
34 Correct 3 ms 14956 KB Output is correct
35 Correct 4 ms 15196 KB Output is correct
36 Correct 3 ms 14940 KB Output is correct
37 Correct 4 ms 14936 KB Output is correct
38 Correct 3 ms 14940 KB Output is correct
39 Correct 3 ms 14940 KB Output is correct
40 Correct 3 ms 14940 KB Output is correct
41 Correct 3 ms 14940 KB Output is correct
42 Correct 3 ms 14940 KB Output is correct
43 Correct 4 ms 14940 KB Output is correct
44 Correct 4 ms 14944 KB Output is correct
45 Correct 4 ms 14936 KB Output is correct
46 Correct 11 ms 15212 KB Output is correct
47 Correct 13 ms 15600 KB Output is correct
48 Correct 11 ms 15196 KB Output is correct
49 Correct 13 ms 15452 KB Output is correct
50 Correct 12 ms 15448 KB Output is correct
51 Correct 12 ms 15332 KB Output is correct
52 Correct 16 ms 15340 KB Output is correct
53 Correct 19 ms 15196 KB Output is correct
54 Correct 19 ms 15196 KB Output is correct
55 Correct 19 ms 15356 KB Output is correct
56 Correct 15 ms 15192 KB Output is correct
57 Correct 15 ms 14940 KB Output is correct
58 Correct 16 ms 15192 KB Output is correct
59 Correct 16 ms 15196 KB Output is correct
60 Correct 16 ms 15192 KB Output is correct
61 Correct 16 ms 15196 KB Output is correct
62 Correct 16 ms 15192 KB Output is correct
63 Correct 16 ms 15192 KB Output is correct
64 Correct 10 ms 14940 KB Output is correct
65 Correct 10 ms 15196 KB Output is correct
66 Correct 11 ms 15196 KB Output is correct
67 Correct 11 ms 15188 KB Output is correct
68 Correct 12 ms 15452 KB Output is correct
69 Correct 16 ms 15196 KB Output is correct
70 Correct 19 ms 15196 KB Output is correct
71 Correct 15 ms 15328 KB Output is correct
72 Correct 15 ms 15196 KB Output is correct
73 Correct 16 ms 14940 KB Output is correct
74 Correct 16 ms 15196 KB Output is correct
75 Correct 14 ms 15448 KB Output is correct
76 Correct 14 ms 15196 KB Output is correct
77 Correct 13 ms 15004 KB Output is correct
78 Correct 14 ms 15192 KB Output is correct
79 Correct 16 ms 15196 KB Output is correct
80 Correct 13 ms 15212 KB Output is correct
81 Correct 16 ms 15196 KB Output is correct
82 Correct 16 ms 15248 KB Output is correct
83 Correct 15 ms 15196 KB Output is correct
84 Correct 15 ms 15196 KB Output is correct
85 Correct 15 ms 15196 KB Output is correct
86 Correct 14 ms 15196 KB Output is correct
87 Correct 28 ms 15452 KB Output is correct
88 Correct 96 ms 16868 KB Output is correct
89 Correct 392 ms 24756 KB Output is correct
90 Correct 400 ms 24656 KB Output is correct
91 Correct 392 ms 24564 KB Output is correct
92 Correct 467 ms 32416 KB Output is correct
93 Correct 469 ms 32304 KB Output is correct
94 Correct 459 ms 32336 KB Output is correct
95 Correct 1541 ms 28736 KB Output is correct
96 Execution timed out 2021 ms 29252 KB Time limit exceeded
97 Halted 0 ms 0 KB -