oj.uz

Submission #1058752

# Submission time Handle Problem Language Result Execution time Memory
1058752 2024-08-14T13:20:28 Z LittleOrange Fountain Parks (IOI21_parks) C++17
5 / 100
 184 ms 56880 KB 
#include "parks.h"
#include<bits/stdc++.h>
using namespace std;
using ll = int;
struct dsu{
    ll n;
    vector<ll> p;
    dsu(ll N):n(N),p(N,-1){}
    ll g(ll i){
        return p[i]<0?i:p[i]=g(p[i]);
    }
    bool m(ll a, ll b){
        a = g(a);
        b = g(b);
        if(a==b) return false;
        if(p[a]>p[b]) swap(a,b);
        p[a]+=p[b];
        p[b]=a;
        return true;
    }
};
struct obj{
    ll x,y,i;
    bool operator<(const obj &o) const{
        return x!=o.x?x<o.x:y<o.y;
    }
    obj operator+(const obj &o) const{
        return {x+o.x,y+o.y,i};
    }
    obj operator-(const obj &o) const{
        return {x-o.x,y-o.y,i};
    }
    bool operator==(const obj &o) const{
        return x==o.x&&y==o.y;
    }
    bool operator!=(const obj &o) const{
        return x!=o.x||y!=o.y;
    }
    obj turn() const{
        return {y,-x,i};
    }
};
using pos = obj;
ostream& operator<<(ostream& o, const pos &p){
    return o << "(" << p.x << "," << p.y << ";" << p.i << ")";
}
pos mid(const pos &a, const pos &b){
    return {(a.x+b.x)/2,(a.y+b.y)/2,0};
}
array<pos,2> mids(const pos &a, const pos &b){
    pos m = mid(a,b);
    array<pos,2> r = {m+(a-m).turn(),m+(b-m).turn()};
    //cerr << "mids of " << a << " " << b << " -> " << r[0] << " " << r[1] << "\n";
    return r;
}
int construct_roads(std::vector<int> x, std::vector<int> y) {
    ll n = x.size();
    vector<obj> fs = {{0,2,0},{0,-2,0},{2,0,0},{-2,0,0}};
    if (x.size() == 1) {
	    build({}, {}, {}, {});
        return 1;
    }
    vector<ll> ans_u,ans_v,ans_a,ans_b;
    vector<obj> a(n);
    for(ll i = 0;i<n;i++){
        a[i] = {x[i],y[i],i};
    }
    sort(a.begin(),a.end());
    dsu d(n);
    vector<pair<pos,pos>> cons;
    for(pos u : a){
        for(pos f : fs){
            pos v = u+f;
            auto it = lower_bound(a.begin(),a.end(),v);
            if (it==a.end()||*it!=v) continue;
            v = *it;
            if(d.m(u.i,v.i)){
                cons.push_back({u,v});
            }
        }
    }
    if(cons.size()<n-1)return 0;
    vector<pos> v;
    for(auto [p0,p1] : cons){
        for(pos p : mids(p0,p1)) v.push_back(p);
    }
    sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
    ll m = v.size();
    vector<pair<pos,pos>> ops;
    vector<vector<ll>> con(m);
    vector<ll> u(n-1,0);
    for(auto [p0,p1] : cons){
        auto o = mids(p0,p1);
        ll i = lower_bound(v.begin(),v.end(),o[0])-v.begin();
        ll j = lower_bound(v.begin(),v.end(),o[1])-v.begin();
        pair<pos,pos> op = {min(o[0],o[1]),max(o[0],o[1])};
        ops.push_back(op);
        con[i].push_back(j);
        con[j].push_back(i);
    }
    vector<ll> idl(m);
    iota(idl.begin(),idl.end(),0);
    sort(idl.begin(),idl.end(),[&](ll i, ll j){return con[i].size()<con[j].size();});
    for(ll i : idl){
        for(ll j : con[i]){
            pair<pos,pos> op = {min(v[i],v[j]),max(v[i],v[j])};
            auto it = lower_bound(ops.begin(),ops.end(),op);
            if (it==ops.end()) continue;
            if (*it!=op) continue;
            ll idx = it-ops.begin();
            if(u[idx]) continue;
            u[idx] = 1;
            pos p = v[i];
            ans_a.push_back(p.x);
            ans_b.push_back(p.y);
            auto os = mids(v[i],v[j]);
            //cerr << "use " << p << " from " << os[0] << " " << os[1] << "\n";
            ll idx1 = (*lower_bound(a.begin(),a.end(),os[0])).i;
            ll idx2 = (*lower_bound(a.begin(),a.end(),os[1])).i;
            ans_u.push_back(idx1);
            ans_v.push_back(idx2);
            break;
        }
    }
    build(ans_u,ans_v,ans_a,ans_b);
    return 1;
}

Compilation message

parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:82:19: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<obj, obj> >::size_type' {aka 'long unsigned int'} and 'll' {aka 'int'} [-Wsign-compare]
   82 |     if(cons.size()<n-1)return 0;
      |        ~~~~~~~~~~~^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 89 ms 28944 KB Output is correct
10 Correct 9 ms 3148 KB Output is correct
11 Correct 45 ms 15312 KB Output is correct
12 Correct 12 ms 4444 KB Output is correct
13 Correct 10 ms 3800 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 118 ms 29184 KB Output is correct

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 89 ms 28944 KB Output is correct
10 Correct 9 ms 3148 KB Output is correct
11 Correct 45 ms 15312 KB Output is correct
12 Correct 12 ms 4444 KB Output is correct
13 Correct 10 ms 3800 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 118 ms 29184 KB Output is correct
17 Correct 0 ms 436 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Incorrect 0 ms 436 KB Given structure is not connected: There is no path between vertices 0 and 1
20 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 89 ms 28944 KB Output is correct
10 Correct 9 ms 3148 KB Output is correct
11 Correct 45 ms 15312 KB Output is correct
12 Correct 12 ms 4444 KB Output is correct
13 Correct 10 ms 3800 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 118 ms 29184 KB Output is correct
17 Correct 0 ms 436 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Incorrect 0 ms 436 KB Given structure is not connected: There is no path between vertices 0 and 1
20 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 89 ms 28944 KB Output is correct
10 Correct 9 ms 3148 KB Output is correct
11 Correct 45 ms 15312 KB Output is correct
12 Correct 12 ms 4444 KB Output is correct
13 Correct 10 ms 3800 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 118 ms 29184 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 436 KB Output is correct
20 Correct 184 ms 47372 KB Output is correct
21 Incorrect 142 ms 40044 KB Given structure is not connected: There is no path between vertices 0 and 1
22 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 89 ms 28944 KB Output is correct
10 Correct 9 ms 3148 KB Output is correct
11 Correct 45 ms 15312 KB Output is correct
12 Correct 12 ms 4444 KB Output is correct
13 Correct 10 ms 3800 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 118 ms 29184 KB Output is correct
17 Incorrect 184 ms 56880 KB Given structure is not connected: There is no path between vertices 0 and 1
18 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 89 ms 28944 KB Output is correct
10 Correct 9 ms 3148 KB Output is correct
11 Correct 45 ms 15312 KB Output is correct
12 Correct 12 ms 4444 KB Output is correct
13 Correct 10 ms 3800 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 118 ms 29184 KB Output is correct
17 Correct 0 ms 436 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Incorrect 0 ms 436 KB Given structure is not connected: There is no path between vertices 0 and 1
20 Halted 0 ms 0 KB -