Submission #140370

#	Time	Username	Problem	Language	Result	Execution time	Memory
140370		egorlifar	Printed Circuit Board (CEOI12_circuit)	C++17	75 / 100	834 ms	31072 KiB

circuit

/*
ЗАПУСКАЕМ
░ГУСЯ░▄▀▀▀▄░РАБОТЯГУ░░
▄███▀░◐░░░▌░░░░░░░
░░░░▌░░░░░▐░░░░░░░
░░░░▐░░░░░▐░░░░░░░
░░░░▌░░░░░▐▄▄░░░░░
░░░░▌░░░░▄▀▒▒▀▀▀▀▄
░░░▐░░░░▐▒▒▒▒▒▒▒▒▀▀▄
░░░▐░░░░▐▄▒▒▒▒▒▒▒▒▒▒▀▄
░░░░▀▄░░░░▀▄▒▒▒▒▒▒▒▒▒▒▀▄
░░░░░░▀▄▄▄▄▄█▄▄▄▄▄▄▄▄▄▄▄▀▄
░░░░░░░░░░░▌▌░▌▌░░░░░
░░░░░░░░░░░▌▌░▌▌░░░░░
░░░░░░░░░▄▄▌▌▄▌▌░░░░░
 */
#include <iostream>
#include <complex>
#include <vector>
#include <string>
#include <algorithm>
#include <cstdio>
#include <numeric>
#include <cstring>
#include <ctime>
#include <cstdlib>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <cmath>
#include <bitset>
#include <cassert>
#include <queue>
#include <stack>
#include <deque>
#include <random>
 
using namespace std;
template<typename T1, typename T2>inline void chkmin(T1 &x, T2 y) { x = (x > y ? y: x);}
template<typename T1, typename T2>inline void chkmax(T1 &x, T2 y) { x = (x < y ? y: x);}
#define sz(c) (int)(c).size()
#define all(c) (c).begin(), (c).end()
#define rall(c) (c).rbegin(), (c).rend()
#define left left224
#define right right224
#define next next224
#define rank rank224
#define prev prev224
#define y1 y1224
#define read(FILENAME) freopen((FILENAME + ".in").c_str(), "r", stdin)
#define write(FILENAME) freopen((FILENAME + ".out").c_str(), "w", stdout)
#define files(FILENAME) read(FILENAME), write(FILENAME)
#define pb push_back
#define mp make_pair
const string FILENAME = "input";
const int MAXN = 200228;


struct point
{
    int x, y;
    int id;
    point(){}
    point(int _x, int _y) {
        x = _x;
        y = _y;
    }
};


bool good[MAXN];


point operator +(const point &a, const point &b) {
    return point(a.x + b.x, a.y + b.y);
}


point operator -(const point &a, const point &b) {
    return point(a.x - b.x, a.y - b.y);
}


long long dist(const point &a, const point &b) {
    return 1LL * (a.x - b.x) * (a.x - b.x) + 1LL * (a.y - b.y) * (a.y - b.y);
}


long long vec(const point &a, const point &b) {
    return 1LL * a.x * b.y - 1LL * a.y * b.x;
}


bool operator <(const point &a, const point &b) {
    return dist(a, point(0, 0)) < dist(b, point(0, 0));
}

int n;
point p[MAXN];
point g;


bool comp(const point &a, const point &b) {
    long long s = vec(a, b);
    if (s == 0) {
        return dist(a, point(0, 0)) < dist(b, point(0, 0));
    }
    return s > 0;
}


bool operator ==(const point &a, const point &b) {
    return a.x == b.x && a.y == b.y;
}


bool intersect(point a, point b, point c) {
    if (c == a || c == b) {
        return false;
    }
    long long s = vec(a, c);
    long long s1 = vec(c, b);
    if (s == 0) {
        return dist(point(0, 0), a) < dist(point(0, 0), c);
    }
    if (s1 == 0) {
        return dist(point(0, 0), b) < dist(point(0, 0), c);
    }
    if (s > 0 && s1 < 0) {
        return false;
    }
    if (s < 0 && s1 > 0) {
        return false;
    }
    s = vec(c - a, b - a);
    s1 = vec(b - a, point(0, 0) - a);
    if (s > 0 && s1 < 0) {
        return false;
    }
    if (s < 0 && s1 > 0) {
        return false;
    }
    return true;
}



set<pair<point, pair<point, point> > >  s;
point q[MAXN];
int where[MAXN];
vector<pair<point, point> >add[MAXN], del[MAXN]; 
bool bads[MAXN];


int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    //read(FILENAME); 
    cin >> n;
    for (int i = 0; i < n; i++) {
        cin >> p[i].x >> p[i].y;
        p[i].id = i + 1;
        q[i] = p[i];
    }
    sort(p, p + n, comp);
    for (int i = 0; i < n; i++) {
        where[p[i].id] = i;
        if (i + 1 < n && vec(p[i], p[(i + 1) % n]) == 0) {
            bads[p[(i + 1) % n].id] = true;
        }
    }
    for (int i = 0; i < n; i++) {
        int j = where[i + 1];
        int k = where[(i + 1) % n + 1];
        point a = q[i];
        point b = q[(i + 1) % n];
        if (j > k) {
            swap(j, k);
            swap(a, b);
        }
        add[j].pb({a, b});
        del[k].pb({a, b});
    }
    vector<int> f;
    for (int i = 0; i < n; i++) {
        bool bad = false;
        int cnt = 0;
        for (auto x: s) {
            if (intersect(x.second.first, x.second.second, p[i])) {
                bad = true;
                break;
            }
            cnt++;
            // if (cnt >= 10) {
            //     break;
            // }
        }
        
        for (auto x: add[i]) {
            point d = x.first + x.second;
            s.insert({d, x});
        }
        cnt = 0;
         for (auto x: s) {
            if (intersect(x.second.first, x.second.second, p[i])) {
                bad = true;
                break;
            }
            cnt++;
            // if (cnt >= 10) {
            //     break;
            // }
        }
        for (auto x: del[i]) {
            point d = x.first + x.second;
            s.erase({d, x});
        }
         cnt = 0;
         for (auto x: s) {
            if (intersect(x.second.first, x.second.second, p[i])) {
                bad = true;
                break;
            }
            cnt++;
            // if (cnt >= 10) {
            //     break;
            // }
        }
        if (!bad) {
            good[p[i].id] = true;
        }
    }
    for (int i = 1; i <= n; i++) {
        if (good[i] && !bads[i]) {
            f.pb(i);
        }
    }
    cout << sz(f) << '\n';
    for (auto x: f) {
        cout << x << ' ';
    }
    cout << endl;
    return 0; 
}

• Subtask 1: 75 / 100