Submission #54929

# Submission time Handle Problem Language Result Execution time Memory
54929 2018-07-05T12:59:36 Z linkret Printed Circuit Board (CEOI12_circuit) C++14
30 / 100
100 ms 33792 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
#define f first
#define s second

const int maxn = 1 << 17;

struct line {
	pii a, b;
};

int n, k;
pair<pii, int> p[maxn];
pii org[maxn];
int arr[maxn];

vector<line> add[maxn];
vector<line> rem[maxn];
vector<pair<pii,int> > query[maxn];
vector<int> ans;

ll ccw(pii a, pii b, pii c) {
	return ll(a.f) * (b.s - c.s) + ll(b.f) * (c.s - a.s) + ll(c.f) * (a.s - b.s);
}

bool comp(pair<pii, int> a, pair<pii, int> b) {
	ll c = ccw(pii(0, 0), a.f, b.f);

	if(c == 0)
		return a.s < b.s;
	return c > 0;
}

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

bool operator<(line x, line y) {
	if(x == y)
		return false;

	if(x.a == y.a)
		return x.b < y.b;

	if(x.a == y.b)
		return x.b < y.a;

	if(x.b == y.a)
		return x.a < y.b;

	if(x.b == y.b)
		return x.a < y.a;
	
	ll xa, xb, ya, yb;
	xa = ccw(x.a, x.b, y.a);
	xb = ccw(x.a, x.b, y.b);
	ya = ccw(y.a, y.b, x.a);
	yb = ccw(y.a, y.b, x.b);

	if(!xa && !xb && !ya && !yb) {
		if(x.a.s == y.a.s)
			return x.a.f < y.a.f;
		return x.a.f < x.a.f;
	}

	// cout << "values: " << xa << " " << xb << " " << ya << " " << yb << endl;

	bool ret = false;

	if((xa > 0) == (xb > 0) || !xa || !xb) {
		if(!xa)
			ret = xb < 0;
		else
			ret = xa < 0;
	} else if ((ya > 0) == (yb > 0) || !ya || !yb) {
		if(!ya)
			ret = yb > 0;
		else
			ret = ya > 0;
	} else {
		// cout << x.a.f << "," << x.a.s << "-" << x.b.f << "," << x.b.s << " " << y.a.f << "," << y.a.s << "-" << y.b.f << "," << y.b.s << endl;
		assert(false);
	}
	
	// cout << ret << "  " << xb << ": " << x.a.f << "," << x.a.s << "-" << x.b.f << "," << x.b.s << " " << y.a.f << "," << y.a.s << "-" << y.b.f << "," << y.b.s << endl;
	// cout << endl;

	return ret;
}

void sweep() {
	set<line> st;

	for(int t = 1; t <= k; t++) {
		for(const line &i : add[t]) {
			st.insert(i);
		}

		// assert(!st.empty());
		
		line f = *st.begin();

		for(const pair<pii, int> &i : query[t]) {
			assert(!st.empty());

			if(ccw(f.a, f.b, i.f) == 0) {
				ans.push_back(i.s);
			}
		}

		// cout << "trebam izbrisat: ";

		// for(const line &i : rem[t]) {
		// 	cout << i.a.f << "," << i.a.s << "-" << i.b.f << "," << i.b.s << " ";
		// }
		// cout << endl;

		for(const line &i : rem[t]) {
			// cout<<(i < i)<<endl;
			auto it = st.find(i);
			// assert(it != st.end());
			// if(it != st.end())
				st.erase(it);
		}

		// cout << "success ";

		// cout << t << ": ";

		// for(line i : st) {
		// 	cout << i.a.f << "," << i.a.s << "-" << i.b.f << "," << i.b.s << " ";
		// }
		// cout << endl;
	}
}

void add_edge(int i, int j, int x, int y) {
	if(i < j) {
		add[i].push_back(line{org[x], org[y]});
		rem[j].push_back(line{org[x], org[y]});
	} else {
		add[j].push_back(line{org[y], org[x]});
		rem[i].push_back(line{org[y], org[x]});
	}
}

void compress() {
	sort(p, p + n, comp);

	for(int i = 0; i < n; i++) {
		if(i == 0 || ccw(pii(0, 0), p[i].f, p[i - 1].f))
			k++;
		arr[p[i].s] = k;
		query[k].push_back(p[i]);
	}
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);

	// while(true) {
	// 	int a, b, c, d;
	// 	cin >> a >> b >> c >> d;
	// 	line x{pii(a, b), pii(c, d)};
	
	// 	int aa, bb, cc, dd;
	// 	cin >> aa >> bb >> cc >> dd;
	// 	line y{pii(aa, bb), pii(cc, dd)};
		
	// 	cout << (x < y) << endl;
	// }

	cin >> n;

	for(int i = 0; i < n; i++) {
		pii tmp;
		cin >> tmp.f >> tmp.s;
		
		p[i].f = tmp;
		p[i].s = i;

		org[i] = p[i].f;
	}

	compress();

	// for(int i = 0; i < n; i++) {
	// 	cout << arr[i] << " ";
	// }

	// cout << endl;

	for(int i = 0; i < n - 1; i++) 
		add_edge(arr[i], arr[i + 1], i, i + 1);
	add_edge(arr[n - 1], arr[0], n - 1, 0);

	// for(int i = 1; i <= n; i++) {
	// 	cout << i << ": ";
		
	// 	for(line j : add[i]) {
	// 		cout << j.a.f << "," << j.a.s << "-" << j.b.f << "," << j.b.s << " ";
	// 	}
	// 	cout << endl;
	// }
	// cout << endl;

	sweep();

	cout << ans.size() << endl;

	sort(ans.begin(), ans.end());

	for(int i : ans) {
		cout << i + 1 << " ";
	}

	cout << endl;

	return 0;
}
# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 9592 KB Output isn't correct
2 Correct 12 ms 9836 KB Output is correct
3 Correct 14 ms 10060 KB Output is correct
4 Correct 16 ms 10252 KB Output is correct
5 Runtime error 31 ms 21352 KB Execution killed with signal 11 (could be triggered by violating memory limits)
6 Runtime error 40 ms 21636 KB Execution killed with signal 11 (could be triggered by violating memory limits)
7 Runtime error 42 ms 23916 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Runtime error 35 ms 23916 KB Execution killed with signal 11 (could be triggered by violating memory limits)
9 Incorrect 23 ms 23916 KB Output isn't correct
10 Runtime error 41 ms 23916 KB Execution killed with signal 11 (could be triggered by violating memory limits)
11 Runtime error 36 ms 23916 KB Execution killed with signal 11 (could be triggered by violating memory limits)
12 Correct 35 ms 23916 KB Output is correct
13 Runtime error 58 ms 26444 KB Execution killed with signal 11 (could be triggered by violating memory limits)
14 Correct 72 ms 27176 KB Output is correct
15 Correct 77 ms 28328 KB Output is correct
16 Execution timed out 146 ms 33792 KB Time limit exceeded
17 Runtime error 174 ms 33792 KB Execution killed with signal 11 (could be triggered by violating memory limits)
18 Runtime error 74 ms 33792 KB Execution killed with signal 11 (could be triggered by violating memory limits)
19 Runtime error 83 ms 33792 KB Execution killed with signal 11 (could be triggered by violating memory limits)
20 Runtime error 64 ms 33792 KB Execution killed with signal 11 (could be triggered by violating memory limits)