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*/
#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 || s1 == 0) {
return true;
}
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];
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;
}
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;
if (!s.empty() && intersect(s.begin()->second.first, s.begin()->second.second, p[i])) {
bad = true;
}
for (auto x: add[i]) {
point d = x.first + x.second;
s.insert({d, x});
}
if (intersect(s.begin()->second.first, s.begin()->second.second, p[i])) {
bad = true;
}
for (auto x: del[i]) {
point d = x.first + x.second;
s.erase({d, x});
}
if (!s.empty() && intersect(s.begin()->second.first, s.begin()->second.second, p[i])) {
bad = true;
}
if (!bad) {
good[p[i].id] = true;
}
}
for (int i = 1; i <= n; i++) {
if (good[i]) {
f.pb(i);
}
}
cout << sz(f) << '\n';
for (auto x: f) {
cout << x << ' ';
}
cout << endl;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
11 ms |
9848 KB |
Output is correct |
| 2 |
Incorrect |
11 ms |
9848 KB |
Output isn't correct |
| 3 |
Correct |
11 ms |
10104 KB |
Output is correct |
| 4 |
Correct |
14 ms |
10232 KB |
Output is correct |
| 5 |
Incorrect |
21 ms |
11004 KB |
Output isn't correct |
| 6 |
Incorrect |
21 ms |
11000 KB |
Output isn't correct |
| 7 |
Incorrect |
35 ms |
12152 KB |
Output isn't correct |
| 8 |
Incorrect |
19 ms |
10748 KB |
Output isn't correct |
| 9 |
Incorrect |
17 ms |
11000 KB |
Output isn't correct |
| 10 |
Incorrect |
22 ms |
11128 KB |
Output isn't correct |
| 11 |
Incorrect |
27 ms |
11128 KB |
Output isn't correct |
| 12 |
Incorrect |
26 ms |
11768 KB |
Output isn't correct |
| 13 |
Incorrect |
49 ms |
13304 KB |
Output isn't correct |
| 14 |
Correct |
44 ms |
13688 KB |
Output is correct |
| 15 |
Incorrect |
50 ms |
14328 KB |
Output isn't correct |
| 16 |
Incorrect |
91 ms |
19320 KB |
Output isn't correct |
| 17 |
Execution timed out |
170 ms |
20728 KB |
Time limit exceeded |
| 18 |
Execution timed out |
179 ms |
28536 KB |
Time limit exceeded |
| 19 |
Execution timed out |
175 ms |
28492 KB |
Time limit exceeded |
| 20 |
Execution timed out |
366 ms |
31764 KB |
Time limit exceeded |
