Submission #1022337

#	Time	Username	Problem	Language	Result	Execution time	Memory
1022337		mdn2002	Fountain Parks (IOI21_parks)	C++17	70 / 100	2715 ms	194720 KiB

parks

/*
Mayoeba Yabureru
*/
#include "parks.h"
#include<bits/stdc++.h>
using namespace std;
static vector<int> _u, _v, _a, _b;

int construct_roads(vector<int> x, vector<int> y) {
    int n = x.size();
    vector<vector<int>> gr(n + 1);
    vector<int> dsu(n + 1);
    map<pair<int, int>, int> mp;
    map<pair<int, int>, pair<int, int>> mpp;
    vector<pair<int, int>> vv;
    x.insert(x.begin(), 0);
    y.insert(y.begin(), 0);
    for (int i = 1; i <= n; i ++) {
        mp[{x[i], y[i]}] = i;
        vv.push_back({x[i], y[i]});
        dsu[i] = i;
    }
    vector<int> u, v, a, b;
    map<pair<int, int>, int> taken;
    map<pair<int, int>, int> connected;

    function<int(int)> fp = [&](int x) {
        if (dsu[x] == x) return x;
        return dsu[x] = fp(dsu[x]);
    };
    function cmp = [&] (pair<int, int> a, pair<int, int> b) {
        if (a.first + a.second < b.first + b.second) return 1;
        return 0;
    };
    sort(vv.begin(), vv.end(), cmp);
    for (int i = 0; i < n; i ++) {
        vector nx = {0, 0}, ny = {2, -2};
        for (int j = 0; j < 4; j ++) {
            auto xx = make_pair(vv[i].first + nx[j], vv[i].second + ny[j]);
            if (mp[xx]) {
                int fx = fp(mp[vv[i]]), fy = fp(mp[xx]);
                if (fx != fy) {
                    if (vv[i].first < xx.first || vv[i].second < xx.second) {
                        u.push_back(mp[vv[i]]);
                        v.push_back(mp[xx]);
                    }
                    else {
                        v.push_back(mp[vv[i]]);
                        u.push_back(mp[xx]);
                    }
                    gr[mp[vv[i]]].push_back(mp[xx]);
                    gr[mp[xx]].push_back(mp[vv[i]]);
                    dsu[fx] = fy;
                    connected[{mp[vv[i]], mp[xx]}] = 1;
                    connected[{mp[xx], mp[vv[i]]}] = 1;
                }
            }
        }
    }
    for (int i = 0; i < n; i ++) {
        vector nx = {2, -2}, ny = {0, 0};
        for (int j = 0; j < 4; j ++) {
            auto xx = make_pair(vv[i].first + nx[j], vv[i].second + ny[j]);
            if (mp[xx]) {
                int fx = fp(mp[vv[i]]), fy = fp(mp[xx]);
                if (fx != fy) {
                    if (vv[i].first < xx.first || vv[i].second < xx.second) {
                        u.push_back(mp[vv[i]]);
                        v.push_back(mp[xx]);
                    }
                    else {
                        v.push_back(mp[vv[i]]);
                        u.push_back(mp[xx]);
                    }
                    gr[mp[vv[i]]].push_back(mp[xx]);
                    gr[mp[xx]].push_back(mp[vv[i]]);
                    dsu[fx] = fy;
                    connected[{mp[vv[i]], mp[xx]}] = 1;
                    connected[{mp[xx], mp[vv[i]]}] = 1;
                }
            }
        }
    }

    int num = 0, st = 1;
    vector<int> vis(n + 1);
    for (int i = 1; i <= n; i ++) {
        if (mp[{x[i], y[i] + 2}]) {
            st = i;
            break;
        }
    }

    function<void(int)> go = [&] (int v) {
        num ++;
        vis[v] = 1;
        vector nx = {0, 2, 0, -2}, ny = {2, 0, -2, 0};
        int ii = 0;
        for (int i = 0; i < 4; i ++) {
            int u = mp[{x[v] + nx[i], y[v] + ny[i]}];
            if (u == 0) continue;
            if (vis[u]) {
                ii = (i + 1) % 4;
                break;
            }
        }
        int nummmm = 10;
        while (nummmm --) {
            int i = ii;
            ii = (ii + 1) % 4;
            int u = mp[{x[v] + nx[i], y[v] + ny[i]}];
            if (u == 0 || vis[u] || connected[{u, v}] == 0) continue;
            if (x[v] != x[u]) {
                int xx = v, uu = u;
                if (x[xx] > x[uu]) {
                    if (taken[{x[uu] + 1, y[uu] - 1}] == 0) {
                        mpp[{uu, xx}] = {x[uu] + 1, y[uu] - 1};
                        taken[{x[uu] + 1, y[uu] - 1}] = 1;
                    }
                    else if (taken[{x[uu] + 1, y[uu] + 1}] == 0) {
                        mpp[{uu, xx}] = {x[uu] + 1, y[uu] + 1};
                        taken[{x[uu] + 1, y[uu] + 1}] = 1;
                    }
                    else assert(0);
                }
                else {
                    if (taken[{x[xx] + 1, y[xx] + 1}] == 0) {
                        mpp[{xx, uu}] = {x[xx] + 1, y[xx] + 1};
                        taken[{x[xx] + 1, y[xx] + 1}] = 1;
                    }
                    else if (taken[{x[xx] + 1, y[xx] - 1}] == 0) {
                        mpp[{xx, uu}] = {x[xx] + 1, y[xx] - 1};
                        taken[{x[xx] + 1, y[xx] - 1}] = 1;
                    }
                    else assert(0);
                }
            }
            else {
                int xx = v, uu = u;
                if (y[xx] > y[uu]) {
                    if (taken[{x[uu] + 1, y[uu] + 1}] == 0) {
                        mpp[{uu, xx}] = {x[uu] + 1, y[uu] + 1};
                        taken[{x[uu] + 1, y[uu] + 1}] = 1;
                    }
                    else if (taken[{x[uu] - 1, y[uu] + 1}] == 0) {
                        mpp[{uu, xx}] = {x[uu] - 1, y[uu] + 1};
                        taken[{x[uu] - 1, y[uu] + 1}] = 1;
                    }
                    else assert(0);
                }
                else {
                    if (taken[{x[xx] - 1, y[xx] + 1}] == 0) {
                        mpp[{xx, uu}] = {x[xx] - 1, y[xx] + 1};
                        taken[{x[xx] - 1, y[xx] + 1}] = 1;
                    }
                    else if (taken[{x[xx] + 1, y[xx] + 1}] == 0) {
                        mpp[{xx, uu}] = {x[xx] + 1, y[xx] + 1};
                        taken[{x[xx] + 1, y[xx] + 1}] = 1;
                    }
                    else assert(0);
                }
            }
            go(u);
        }
    };
    go(st);
    for (int i = 0; i < u.size(); i ++) {
        a.push_back(mpp[{u[i], v[i]}].first);
        b.push_back(mpp[{u[i], v[i]}].second);
        u[i] --;
        v[i] --;
    }
    if (num == n) {
        build(u, v, a, b);
        return 1;
    }
    return 0;
}

Compilation message (stderr)

parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:167:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  167 |     for (int i = 0; i < u.size(); i ++) {
      |                     ~~^~~~~~~~~~

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