oj.uz

Submission #1058778

# Submission time Handle Problem Language Result Execution time Memory
1058778 2024-08-14T13:42:02 Z LittleOrange Fountain Parks (IOI21_parks) C++17
5 / 100
 319 ms 70580 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) {
    mt19937_64 mt(random_device{}());
    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};
    }
    //shuffle(ord.begin(),ord.end(),mt);
    sort(a.begin(),a.end());
    dsu d(n);
    vector<pair<pos,pos>> cons;
    vector<pair<pos,pos>> ord;
    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;
            ord.push_back({u,v});
        }
    }
    shuffle(ord.begin(),ord.end(),mt);
    for(auto [u,v] : ord){
        if(d.m(u.i,v.i)){
            //cerr << "con " << u << " " << v << "\n";
            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])};
        //cerr << "ops " << op.first << " " << op.second << "\n";
        ops.push_back(op);
        con[i].push_back(j);
        con[j].push_back(i);
    }
    sort(ops.begin(),ops.end());
    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])};
            //cerr << "test " << op.first << " " << op.second << "\n";
            auto it = lower_bound(ops.begin(),ops.end(),op);
            if (it==ops.end()) {
                //cerr << "error 1\n";
                continue;
            }
            //cerr << "got " << (*it).first << " " << (*it).second << "\n";
            if ((*it)!=op) {
                //cerr << "error 2\n";
                continue;
            }
            ll idx = it-ops.begin();
            //cerr << "idx= " << idx << "\n";
            if(u[idx]) {
                //cerr << "error 3\n";
                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;
        }
    }
    if(ans_u.size()<n-1) return 0;
    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:90:19: 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]
   90 |     if(cons.size()<n-1) return 0;
      |        ~~~~~~~~~~~^~~~
parks.cpp:148:20: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'll' {aka 'int'} [-Wsign-compare]
  148 |     if(ans_u.size()<n-1) return 0;
      |        ~~~~~~~~~~~~^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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 134 ms 32976 KB Output is correct
10 Correct 12 ms 3544 KB Output is correct
11 Correct 66 ms 17604 KB Output is correct
12 Correct 16 ms 5024 KB Output is correct
13 Correct 13 ms 7120 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 136 ms 33212 KB Output is correct

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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 134 ms 32976 KB Output is correct
10 Correct 12 ms 3544 KB Output is correct
11 Correct 66 ms 17604 KB Output is correct
12 Correct 16 ms 5024 KB Output is correct
13 Correct 13 ms 7120 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 136 ms 33212 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 432 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Incorrect 267 ms 60408 KB Solution announced impossible, but it is possible.
24 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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 134 ms 32976 KB Output is correct
10 Correct 12 ms 3544 KB Output is correct
11 Correct 66 ms 17604 KB Output is correct
12 Correct 16 ms 5024 KB Output is correct
13 Correct 13 ms 7120 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 136 ms 33212 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 432 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Incorrect 267 ms 60408 KB Solution announced impossible, but it is possible.
24 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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 134 ms 32976 KB Output is correct
10 Correct 12 ms 3544 KB Output is correct
11 Correct 66 ms 17604 KB Output is correct
12 Correct 16 ms 5024 KB Output is correct
13 Correct 13 ms 7120 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 136 ms 33212 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 348 KB Output is correct
20 Incorrect 251 ms 51224 KB Solution announced impossible, but it is possible.
21 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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 134 ms 32976 KB Output is correct
10 Correct 12 ms 3544 KB Output is correct
11 Correct 66 ms 17604 KB Output is correct
12 Correct 16 ms 5024 KB Output is correct
13 Correct 13 ms 7120 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 136 ms 33212 KB Output is correct
17 Correct 297 ms 65548 KB Output is correct
18 Correct 319 ms 70580 KB Output is correct
19 Incorrect 236 ms 52772 KB Solution announced impossible, but it is possible.
20 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 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 134 ms 32976 KB Output is correct
10 Correct 12 ms 3544 KB Output is correct
11 Correct 66 ms 17604 KB Output is correct
12 Correct 16 ms 5024 KB Output is correct
13 Correct 13 ms 7120 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 136 ms 33212 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 432 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Incorrect 267 ms 60408 KB Solution announced impossible, but it is possible.
24 Halted 0 ms 0 KB -