Submission #1033746

#	Time	Username	Problem	Language	Result	Execution time	Memory
1033746		hotboy2703	Fountain Parks (IOI21_parks)	C++17	30 / 100	499 ms	31552 KiB

parks

#include "parks.h"

#include<bits/stdc++.h>
using ll = int;
using namespace std;
#define pll pair <ll,ll>
#define fi first
#define se second
#define MP make_pair
#define sz(a) (ll((a).size()))
#define MASK(i) (1LL<<(i))
#define BIT(mask,i) (((mask) >> (i))&1)
struct point{
    ll x,y,id;
    point(ll x1 = 0,ll y1 = 0,ll id1 = 0):x(x1),y(y1),id(id1){}
    bool operator < (const point &p)const {
        return MP(x,y) < MP(p.x,p.y);
    }
};
namespace sub1{
    ll solve(vector <ll> x,vector <ll> y){
        for (auto z:x)if (z > 6 || z < 2)return -1;
        ll n = sz(x);
        vector <pll> all[7];
        vector <point> a(n);
        
        for (ll i = 0;i < n;i ++){
            a[i] = {x[i],y[i],i};
        }
        sort(a.begin(),a.end());
        for (ll i = 0;i < n;i ++){
            if (all[a[i].x].empty() || all[a[i].x].back().se + 2 != a[i].y)all[a[i].x].push_back(MP(a[i].y,a[i].y));
            else{
                all[a[i].x].back().se+=2;
            }
        }
        vector <int> U, V, A, B;
        auto add = [&](pll u,pll v, ll x,ll y){
            // cout<<u.fi<<' '<<u.se<<' '<<v.fi<<' '<<v.se<<endl;
            U.push_back((*lower_bound(a.begin(),a.end(),point(u.fi,u.se,0))).id);
            V.push_back((*lower_bound(a.begin(),a.end(),point(v.fi,v.se,0))).id);
            A.push_back(x);
            B.push_back(y);
        };
        for (auto x:all[2]){
            for (ll i = x.fi + 2;i <= x.se;i += 2){
                add(MP(2,i-2),MP(2,i),1,i-1);
            }
        }
        for (auto x:all[4]){
            static ll ptr2 = 0;
            static ll ptr6 = 0;
            vector <ll> sus2,sus6;
            while (ptr2 < sz(all[2]) && all[2][ptr2].se < x.fi)ptr2++;
            while (ptr2 < sz(all[2]) && all[2][ptr2].fi <= x.se){
                // cout<<all[2][ptr2].fi<<' '<<all[2][ptr2].se<<endl;
                pll tmp = all[2][ptr2];
                if (tmp.fi <= x.fi && x.fi <= tmp.se){
                    add(MP(4,x.fi),MP(2,x.fi),3,x.fi-1);
                }
                else if (tmp.fi <= x.se && x.se <= tmp.se){
                    add(MP(4,x.se),MP(2,x.se),3,x.se+1);
                }
                else{
                    sus2.push_back(tmp.fi);
                }
                ptr2++;
            }

            while (ptr6 < sz(all[6]) && all[6][ptr6].se < x.fi)ptr6++;
            while (ptr6 < sz(all[6]) && all[6][ptr6].fi <= x.se){
                pll tmp = all[6][ptr6];
                if (tmp.fi <= x.fi && x.fi <= tmp.se){
                    add(MP(4,x.fi),MP(6,x.fi),5,x.fi-1);
                }
                else if (tmp.fi <= x.se && x.se <= tmp.se){
                    add(MP(4,x.se),MP(6,x.se),5,x.se+1);
                }
                else{
                    sus6.push_back(tmp.fi);
                }
                ptr6++;
            }
            ptr2=0,ptr6=0;
            for (ll j = x.fi + 2;j <= x.se;j += 2){
                while(ptr2 < sz(sus2) && sus2[ptr2]<j)ptr2++; 
                while(ptr6 < sz(sus6) && sus6[ptr6]<j)ptr6++; 
                bool do2,do6;
                do2 =  (ptr2 < sz(sus2) && sus2[ptr2]==j);
                do6 =  (ptr6 < sz(sus6) && sus6[ptr6]==j);
                if (do2 && do6){
                    add(MP(4,j),MP(2,j),3,j-1);
                    add(MP(4,j),MP(6,j),5,j+1);
                    add(MP(4,j),MP(4,j-2),5,j-1);
                    add(MP(4,j),MP(4,j+2),3,j+1);
                    j+=2;
                }
                else if (do2){
                    add(MP(4,j),MP(2,j),3,j-1);
                    add(MP(4,j),MP(4,j-2),5,j-1);
                }
                else if (do6){
                    add(MP(4,j),MP(6,j),5,j-1);
                    add(MP(4,j),MP(4,j-2),3,j-1);
                }
                else add(MP(4,j),MP(4,j-2),3,j-1);
            }
        } 
        for (auto x:all[6]){
            for (ll i = x.fi + 2;i <= x.se;i += 2){
                add(MP(6,i-2),MP(6,i),7,i-1);
            }
        }
        {
            vector <vector <ll > > g(n);
            for (ll i = 0;i < sz(U);i ++){
                g[U[i]].push_back(V[i]);
                g[V[i]].push_back(U[i]);
            }
            vector <bool> in(n);
            queue <ll> q;
            q.push(0);
            in[0] = 1;
            while (!q.empty()){
                ll u = q.front();
                q.pop();
                for (auto v:g[u]){
                    if (!in[v]){
                        in[v] = 1;
                        q.push(v);
                    }
                }
            }
            for (ll i = 0;i < n;i ++)if (!in[i])return 0;
            build(U, V, A, B);
            return 1;
        }
    }
}
int construct_roads(std::vector<int> x, std::vector<int> y) {
    ll tmp = sub1::solve(x,y);
    if (tmp != -1)return tmp;
    ll n = sz(x);
    vector <point> a(n);
    
    for (ll i = 0;i < n;i ++){
        a[i] = {x[i],y[i],i};
    }
    sort(a.begin(),a.end());
    vector <int> U, V, A, B;
    auto add = [&](pll u,pll v, ll x,ll y){
        // cout<<u.fi<<' '<<u.se<<' '<<v.fi<<' '<<v.se<<endl;
        U.push_back((*lower_bound(a.begin(),a.end(),point(u.fi,u.se,0))).id);
        V.push_back((*lower_bound(a.begin(),a.end(),point(v.fi,v.se,0))).id);
        A.push_back(x);
        B.push_back(y);
    };
    vector <pll> last;
    // for (ll i = 0;i < n;i ++)cout<<a[i].x<<' '<<a[i].y<<'\n';
    for (ll i = 0;i < n;i ++){
        // cout<<a[i].x<<' '<<a[i-1].x<<' '<<i<<endl;
        if (i && a[i].x != a[i-1].x+2)return 0;
        ll j = i;
        while (j < n && a[j].x==a[i].x)j++;
        j--;
        vector <pll> all;
        for (ll k = i;k <= j;k ++){
            if (all.empty() || all.back().se + 2 != a[k].y)all.push_back(MP(a[k].y,a[k].y));
            else{
                all.back().se+=2;
            }
        }
        ll ptr = 0;
        for (auto x:all){
            if (ptr)ptr--;
            while (ptr < sz(last) && last[ptr].se < x.fi)ptr++;
            while (ptr < sz(last) && last[ptr].fi <= x.se){
                pll tmp = last[ptr];
                if (tmp.fi <= x.fi && x.fi <= tmp.se){
                    add(MP(a[i].x,x.fi),MP(a[i].x-2,x.fi),a[i].x-1,x.fi-1);
                }
                else if (tmp.fi <= x.se && x.se <= tmp.se){
                    add(MP(a[i].x,x.se),MP(a[i].x-2,x.se),a[i].x-1,x.se+1);
                }
                ptr++;
            }
            for (ll k = x.fi + 2;k <= x.se;k += 2){
                add(MP(a[i].x,k),MP(a[i].x,k-2),a[i].x-1,k-1);
            }
        }
        last = all;
        i=j;
    }
    {
        vector <vector <ll > > g(n);
        for (ll i = 0;i < sz(U);i ++){
            g[U[i]].push_back(V[i]);
            g[V[i]].push_back(U[i]);
        }
        vector <bool> in(n);
        queue <ll> q;
        q.push(0);
        in[0] = 1;
        while (!q.empty()){
            ll u = q.front();
            q.pop();
            for (auto v:g[u]){
                if (!in[v]){
                    in[v] = 1;
                    q.push(v);
                }
            }
        }
        for (ll i = 0;i < n;i ++)if (!in[i])return 0;
        build(U, V, A, B);
        return 1;
    }
}

• Subtask 1: 5 / 5
• Subtask 2: 10 / 10
• Subtask 3: 15 / 15
• Subtask 4: 0 / 20
• Subtask 5: 0 / 20
• Subtask 6: 0 / 30