oj.uz

Submission #762410

# Submission time Handle Problem Language Result Execution time Memory
762410 2023-06-21T11:31:45 Z JakobZorz Race (IOI11_race) C++14
100 / 100
 1022 ms 79496 KB 
#include "race.h"
#include <vector>
#include <set>
#include <algorithm>
#include <queue>
#include <iostream>

using namespace std;
typedef long long ll;

ll k;
set<pair<ll,ll>> nodes[200000];
ll parents[200000];
ll sub_size[200000];
ll depth[200000];
ll abs_depth[200000];
 
void init_tree(ll node,ll par,ll d=0,ll abs_d=1){
    //cout<<node+1<<" "<<par+1<<"\n";
    parents[node]=par;
    depth[node]=d;
    abs_depth[node]=abs_d;
    sub_size[node]=0;
    for(pair<ll,ll> ne:nodes[node]){
        if(ne.first!=par){
            init_tree(ne.first,node,d+ne.second,abs_d+1);
            sub_size[node]+=sub_size[ne.first];
        }
    }
    sub_size[node]++;
    //cout<<"done "<<node+1<<"\n";
}
 
ll get_centroid(ll node){
    ll n=sub_size[node];
    ll centroid=node;
    while(sub_size[centroid]>n/2){
        ll biggest_size=-1;
        ll biggest=-1;
        for(pair<ll,ll> ne:nodes[centroid]){
            //cout<<ne<<" "<<parents[centroid]<<" "<<sub_size[ne]<<"\n";
            if(ne.first!=parents[centroid]&&sub_size[ne.first]>=biggest_size){
                biggest_size=sub_size[ne.first];
                biggest=ne.first;
            }
        }
        centroid=biggest;
    }
    return parents[centroid];
}
 
vector<pair<ll,ll>> get_depths(ll node, ll add){
    vector<pair<ll,ll>> depths;
    queue<ll> q;
    q.push(node);
    while(!q.empty()){
        ll c=q.front();
        q.pop();
        depths.push_back({depth[c]+add,abs_depth[c]});
        for(pair<ll,ll> ne:nodes[c])
            if(ne.first!=parents[c])
                q.push(ne.first);
    }
    
    return depths;
}
 
ll get_pairs2(vector<pair<ll,ll>>&a,vector<pair<ll,ll>>&b,ll s){
    reverse(a.begin(),a.end());
    ll l=0;
    ll res=1000000;
    for(pair<ll,ll> i:a){
        ll rec=s-i.first;
        while(l<b.size()&&b[l].first<rec)
            l++;
        if(l<b.size()&&b[l].first+i.first==s)
            res=min(res,b[l].second+i.second);
    }
    //cout<<"pairs2: "<<res<<"\n";
    return res;
}
 
ll get_pairs(vector<vector<pair<ll,ll>>>vec,ll s){
    /*cout<<"-------\n";
    for(vector<int> i:vec){
        for(int j:i)
            cout<<j<<" ";
        cout<<"\n";
    }*/
    
    ll n=vec.size();
    if(n==1){
        auto iter=lower_bound(vec[0].begin(),vec[0].end(),pair<ll,ll>(s,0));
        if(iter==vec[0].end()||iter<vec[0].begin()||iter->first!=s)
            return 1000000;
        return iter->second;
    }
    ll res=1000000;
    ll m=n/2;
    vector<pair<ll,ll>>a,b;
    for(ll i=0;i<n;i++){
        if(i<m)
            a.insert(a.end(),vec[i].begin(),vec[i].end());
        else
            b.insert(b.end(),vec[i].begin(),vec[i].end());
    }
    sort(a.begin(),a.end());
    sort(b.begin(),b.end());
    res=min(res,get_pairs2(a,b,s));
    res=min(res,get_pairs({vec.begin(),vec.begin()+m},s));
    res=min(res,get_pairs({vec.begin()+m,vec.end()},s));
    //cout<<"pairs1: "<<res<<"\n";
    return res;
}
 
ll get(ll node){
    if(nodes[node].empty())
        return 1000000;
    
    int centroid=get_centroid(node);
    init_tree(centroid,centroid);
    vector<pair<ll,ll>> children(nodes[centroid].begin(),nodes[centroid].end());
    vector<vector<pair<ll,ll>>>vec;
    for(pair<ll,ll> child:children){
        nodes[centroid].erase(child);
        nodes[child.first].erase({centroid,child.second});
        init_tree(child.first,child.first);
        vec.push_back(get_depths(child.first,child.second));
    }
    
    ll res=get_pairs(vec,k);
    for(pair<ll,ll> child:children){
        init_tree(child.first,child.first);
        res=min(res,get(child.first));
    }
    return res;
}

int best_path(int N, int K, int H[][2], int L[]) {
    //if(N<=1000){
        ll n=N;
        k=K;
        for(ll i=0;i<n-1;i++){
            ll a=H[i][0],b=H[i][1];
            nodes[a].insert({b,L[i]});
            nodes[b].insert({a,L[i]});
        }
        init_tree(0,0);
        ll res=get(0);
        if(res>=1000000)
            return -1;
        return res;
    /*}else{
        ll n=N;
        k=K;
        for(ll i=0;i<n-1;i++){
            ll a=H[i][0],b=H[i][1];
            nodes[a].insert({b,L[i]});
            //nodes[b].insert({a,L[i]});
        }
        //init_tree(0,0);
        //ll res=get(0);
        ll res=-1;
        if(res>=1000000)
            return -1;
        return res;
    }*/
}

Compilation message

race.cpp: In function 'll get_pairs2(std::vector<std::pair<long long int, long long int> >&, std::vector<std::pair<long long int, long long int> >&, ll)':
race.cpp:74:16: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |         while(l<b.size()&&b[l].first<rec)
      |               ~^~~~~~~~~
race.cpp:76:13: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   76 |         if(l<b.size()&&b[l].first+i.first==s)
      |            ~^~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 4 ms 9684 KB Output is correct
11 Correct 4 ms 9684 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 5 ms 9772 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 4 ms 9684 KB Output is correct
18 Correct 4 ms 9684 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 4 ms 9684 KB Output is correct
11 Correct 4 ms 9684 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 5 ms 9772 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 4 ms 9684 KB Output is correct
18 Correct 4 ms 9684 KB Output is correct
19 Correct 4 ms 9684 KB Output is correct
20 Correct 4 ms 9684 KB Output is correct
21 Correct 6 ms 9940 KB Output is correct
22 Correct 6 ms 9940 KB Output is correct
23 Correct 5 ms 9940 KB Output is correct
24 Correct 7 ms 9940 KB Output is correct
25 Correct 6 ms 9940 KB Output is correct
26 Correct 5 ms 9940 KB Output is correct
27 Correct 6 ms 9908 KB Output is correct
28 Correct 6 ms 9940 KB Output is correct
29 Correct 6 ms 9940 KB Output is correct
30 Correct 6 ms 9980 KB Output is correct
31 Correct 6 ms 10028 KB Output is correct
32 Correct 6 ms 9940 KB Output is correct
33 Correct 6 ms 9940 KB Output is correct
34 Correct 5 ms 9940 KB Output is correct
35 Correct 5 ms 9940 KB Output is correct
36 Correct 5 ms 9940 KB Output is correct
37 Correct 5 ms 9940 KB Output is correct
38 Correct 5 ms 9980 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 4 ms 9684 KB Output is correct
11 Correct 4 ms 9684 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 5 ms 9772 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 4 ms 9684 KB Output is correct
18 Correct 4 ms 9684 KB Output is correct
19 Correct 369 ms 33608 KB Output is correct
20 Correct 383 ms 36240 KB Output is correct
21 Correct 379 ms 36736 KB Output is correct
22 Correct 352 ms 38124 KB Output is correct
23 Correct 280 ms 36004 KB Output is correct
24 Correct 243 ms 36072 KB Output is correct
25 Correct 326 ms 37644 KB Output is correct
26 Correct 171 ms 41304 KB Output is correct
27 Correct 555 ms 66400 KB Output is correct
28 Correct 1022 ms 73004 KB Output is correct
29 Correct 987 ms 71944 KB Output is correct
30 Correct 521 ms 66464 KB Output is correct
31 Correct 513 ms 66400 KB Output is correct
32 Correct 683 ms 64240 KB Output is correct
33 Correct 709 ms 62448 KB Output is correct
34 Correct 749 ms 63288 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 9684 KB Output is correct
2 Correct 4 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 4 ms 9684 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 4 ms 9684 KB Output is correct
7 Correct 4 ms 9684 KB Output is correct
8 Correct 4 ms 9684 KB Output is correct
9 Correct 4 ms 9684 KB Output is correct
10 Correct 4 ms 9684 KB Output is correct
11 Correct 4 ms 9684 KB Output is correct
12 Correct 4 ms 9684 KB Output is correct
13 Correct 4 ms 9684 KB Output is correct
14 Correct 5 ms 9772 KB Output is correct
15 Correct 4 ms 9684 KB Output is correct
16 Correct 4 ms 9684 KB Output is correct
17 Correct 4 ms 9684 KB Output is correct
18 Correct 4 ms 9684 KB Output is correct
19 Correct 4 ms 9684 KB Output is correct
20 Correct 4 ms 9684 KB Output is correct
21 Correct 6 ms 9940 KB Output is correct
22 Correct 6 ms 9940 KB Output is correct
23 Correct 5 ms 9940 KB Output is correct
24 Correct 7 ms 9940 KB Output is correct
25 Correct 6 ms 9940 KB Output is correct
26 Correct 5 ms 9940 KB Output is correct
27 Correct 6 ms 9908 KB Output is correct
28 Correct 6 ms 9940 KB Output is correct
29 Correct 6 ms 9940 KB Output is correct
30 Correct 6 ms 9980 KB Output is correct
31 Correct 6 ms 10028 KB Output is correct
32 Correct 6 ms 9940 KB Output is correct
33 Correct 6 ms 9940 KB Output is correct
34 Correct 5 ms 9940 KB Output is correct
35 Correct 5 ms 9940 KB Output is correct
36 Correct 5 ms 9940 KB Output is correct
37 Correct 5 ms 9940 KB Output is correct
38 Correct 5 ms 9980 KB Output is correct
39 Correct 369 ms 33608 KB Output is correct
40 Correct 383 ms 36240 KB Output is correct
41 Correct 379 ms 36736 KB Output is correct
42 Correct 352 ms 38124 KB Output is correct
43 Correct 280 ms 36004 KB Output is correct
44 Correct 243 ms 36072 KB Output is correct
45 Correct 326 ms 37644 KB Output is correct
46 Correct 171 ms 41304 KB Output is correct
47 Correct 555 ms 66400 KB Output is correct
48 Correct 1022 ms 73004 KB Output is correct
49 Correct 987 ms 71944 KB Output is correct
50 Correct 521 ms 66464 KB Output is correct
51 Correct 513 ms 66400 KB Output is correct
52 Correct 683 ms 64240 KB Output is correct
53 Correct 709 ms 62448 KB Output is correct
54 Correct 749 ms 63288 KB Output is correct
55 Correct 27 ms 12764 KB Output is correct
56 Correct 23 ms 12276 KB Output is correct
57 Correct 184 ms 35588 KB Output is correct
58 Correct 215 ms 37348 KB Output is correct
59 Correct 162 ms 41292 KB Output is correct
60 Correct 931 ms 72124 KB Output is correct
61 Correct 522 ms 66576 KB Output is correct
62 Correct 533 ms 65320 KB Output is correct
63 Correct 670 ms 63620 KB Output is correct
64 Correct 937 ms 62852 KB Output is correct
65 Correct 878 ms 67060 KB Output is correct
66 Correct 1004 ms 69484 KB Output is correct
67 Correct 708 ms 71092 KB Output is correct
68 Correct 788 ms 77848 KB Output is correct
69 Correct 796 ms 79496 KB Output is correct
70 Correct 752 ms 71900 KB Output is correct