#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
// library
pi operator+(const pi& l, const pi& r) { return {l.f+r.f,l.s+r.s}; }
pi operator+=(pi& l, const pi& r) { return l = l+r; }
void prin(pair<pi,pi> x) {
cout << x.f.f << " " << x.f.s << " " << x.s.f << " " << x.s.s << "\n----\n";
}
ld cross(cd a, cd b) { return (conj(a)*b).imag(); }
ld area(cd a, cd b, cd c) { return cross(b-a,c-a); }
ld dot(cd a, cd b) { return (conj(a)*b).real(); }
cd reflect(cd p, cd a, cd b) { return a+conj((p-a)/(b-a))*(b-a); }
cd proj(cd p, cd a, cd b) { return (p+reflect(p,a,b))/(ld)2; }
cd line(cd a, cd b, cd c, cd d) {
ld x = area(a,b,c), y = area(a,b,d);
return (x*d-y*c)/(x-y);
}
ld eval(pair<pi,pi> x, pi y) {
return norm(line(cd(x.f.f,x.f.s),cd(x.s.f,x.s.s),cd(y.f,y.s),cd(0,0)));
}
int N, rv[MX];
vi ev[MX][2], v, ans;
pi p[MX];
// 1, b: ins
// b, a, -1: del
// a, 0, 0: query
bool equiv(pi a, pi b) { return (ll)a.f*b.s == (ll)a.s*b.f; }
bool cmp(pi a, pi b) {
if (equiv(a,b)) return a < b;
return (ll)a.s*b.f < (ll)b.s*a.f;
}
void init() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N;
FOR(i,1,N+1) cin >> p[i].f >> p[i].s;
FOR(i,1,N+1) v.pb(i);
sort(all(v),[](int a, int b) { return cmp(p[a],p[b]); });
F0R(i,N) rv[v[i]] = i;
FOR(i,1,N+1) {
int a = i, b = i%N+1;
if (rv[a] > rv[b]) swap(a,b);
if (!equiv(p[a],p[b])) {
ev[b][0].pb(a);
ev[a][1].pb(b);
}
}
}
pi cur;
struct CMP {
bool operator()(const pair<pi,pi>& l, const pair<pi,pi>& r) {
if (cur == mp(-1,-1)) {
/*cout << "OOPS\n";
prin(l);
prin(r);
exit(0);*/
if (l.s == cur) return norm(cd(l.f.f,l.f.s)) < eval(r,l.f);
if (r.s == cur) return eval(l,r.f) < norm(cd(r.f.f,r.f.s));
exit(5);
} else {
return eval(l,cur) < eval(r,cur);
}
}
};
set<pair<pi,pi>,CMP> S;
void del(int l, int r) {
if (l == 0) return;
FOR(i,l,r+1) for (int j: ev[v[i]][0]) S.erase({p[j],p[v[i]]});
}
void tri(int l, int r) {
cur = {-1,-1};
if (S.lb({p[v[l]],cur}) == S.begin()) ans.pb(v[l]);
}
void ins(int l, int r) {
if (r == sz(v)-1) return;
cur = p[v[r]]+p[v[r+1]];
FOR(i,l,r+1) for (int j: ev[v[i]][1]) S.insert({p[v[i]],p[j]});
}
void answer(int l, int r) {
del(l,r);
tri(l,r);
ins(l,r);
}
int main() {
init();
for (int i = 0; i < sz(v); ) {
int I = i;
while (i < sz(v) && equiv(p[v[I]],p[v[i]])) i ++;
answer(I,i-1);
}
cout << sz(ans) << "\n";
sort(all(ans));
for (int i: ans) cout << i << " ";
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
5112 KB |
Output is correct |
2 |
Correct |
13 ms |
5232 KB |
Output is correct |
3 |
Correct |
15 ms |
5584 KB |
Output is correct |
4 |
Correct |
17 ms |
5752 KB |
Output is correct |
5 |
Execution timed out |
118 ms |
6080 KB |
Time limit exceeded |
6 |
Execution timed out |
119 ms |
6500 KB |
Time limit exceeded |
7 |
Execution timed out |
293 ms |
7360 KB |
Time limit exceeded |
8 |
Correct |
95 ms |
7360 KB |
Output is correct |
9 |
Execution timed out |
116 ms |
7360 KB |
Time limit exceeded |
10 |
Execution timed out |
124 ms |
7360 KB |
Time limit exceeded |
11 |
Execution timed out |
126 ms |
7360 KB |
Time limit exceeded |
12 |
Execution timed out |
139 ms |
8004 KB |
Time limit exceeded |
13 |
Execution timed out |
364 ms |
9184 KB |
Time limit exceeded |
14 |
Execution timed out |
413 ms |
9960 KB |
Time limit exceeded |
15 |
Execution timed out |
367 ms |
11280 KB |
Time limit exceeded |
16 |
Execution timed out |
733 ms |
15576 KB |
Time limit exceeded |
17 |
Execution timed out |
1077 ms |
17796 KB |
Time limit exceeded |
18 |
Runtime error |
67 ms |
19572 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
19 |
Runtime error |
60 ms |
22044 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
20 |
Runtime error |
62 ms |
24748 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |