Submission #950716

# Submission time Handle Problem Language Result Execution time Memory
950716 2024-03-20T15:37:11 Z vjudge1 Printed Circuit Board (CEOI12_circuit) C++17
100 / 100
30 ms 2908 KB
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <vector>
#include <cassert>
typedef long long ll;
const ll INF = 1e17;
const int LEN = 2e5 + 1;
int N;
bool V[LEN];

struct Pos {
	int x, y, i;
	Pos(int X = 0, int Y = 0, int I = 0) : x(X), y(Y), i(I) {}
	ll operator / (const Pos& p) const { return { (ll)x * p.y - (ll)y * p.x }; }
	Pos operator - (const Pos& p) const { return { x - p.x, y - p.y }; }
	ll Euc() const { return (ll)x * x + (ll)y * y; }
	friend std::istream& operator >> (std::istream& is, Pos& p) { is >> p.x >> p.y; return is; }
	friend std::ostream& operator << (std::ostream& os, const Pos& p) { os << p.x << " " << p.y; return os; }
}; const Pos O = { 0, 0 };
std::vector<Pos> H;
ll cross(const Pos& d1, const Pos& d2, const Pos& d3) { return (d2 - d1) / (d3 - d2); }
int ccw(const Pos& d1, const Pos& d2, const Pos& d3) {
	ll ret = cross(d1, d2, d3);
	return !ret ? 0 : ret > 0 ? 1 : -1;
}
ll area(const std::vector<Pos>& H) {
	ll ret = 0;
	int sz = H.size();
	for (int i = 0; i < sz; i++) {
		Pos cur = H[i], nxt = H[(i + 1) % sz];
		ret += cross(O, cur, nxt);
	}
	return ret;
}
//bool norm(std::vector<Pos>& H) {
//	ll A = area(H);
//	assert(A);
//	if (A > 0) { std::reverse(H.begin(), H.end()); return 1; }
//	return 0;
//}
void norm(std::vector<Pos>& H) {
	ll A = area(H);
	assert(A);
	if (A > 0) { std::reverse(H.begin(), H.end()); }
}
bool invisible(const Pos& p1, const Pos& p2, const Pos& t) {
	return ccw(O, p1, t) <= 0 && ccw(O, p2, t) >= 0 && ccw(p1, p2, t) >= 0;
}
std::vector<int> stack;
void solve() {
	std::cin.tie(0)->sync_with_stdio(0);
	std::cout.tie(0);
	std::cin >> N;
	H.resize(N);
	for (int i = 0; i < N; i++) std::cin >> H[i], H[i].i = i + 1;
	norm(H);//normalize cw

	int r = 0, l = 0;
	for (int i = 0; i < N; i++) {
		if (H[r] / H[i] < 0 || (!(H[r] / H[i]) && H[r].Euc() > H[i].Euc())) r = i;
		if (H[l] / H[i] > 0 || (!(H[l] / H[i]) && H[l].Euc() > H[i].Euc())) l = i;
	}

	stack.clear();
	stack.push_back(r);

	bool fvis = 1, bvis = 1, rvs = 0;
	for (int i = r; i < r + N; i++) {
		if (i % N == l) break;
		Pos& pre = H[(i - 1 + N) % N], cur = H[i % N], nxt = H[(i + 1) % N];
		if (fvis && bvis) {
			ll DIR = cur / nxt;
			int CCW = ccw(pre, cur, nxt);
			if (DIR < 0) {//move backward
				if (!rvs && CCW < 0) {
					rvs = 1;
					fvis = 0;
					continue;
				}
				rvs = 1;
				while (stack.size() && invisible(cur, nxt, H[stack.back()])) stack.pop_back();
			}
			else if (!DIR) {//move vertical
				if (cur.Euc() > nxt.Euc()) {
					if (stack.size() && stack.back() == i % N) stack.pop_back();
					if (stack.size() < 1 || H[stack.back()] / nxt > 0) stack.push_back((i + 1) % N);
				}
			}
			else if (DIR > 0) {//move forward
				if (rvs && CCW > 0) {
					stack.push_back(i % N);
					rvs = 0;
					bvis = 0;
					continue;
				}
				if (stack.size() && rvs && H[stack.back()] / cur > 0) stack.push_back(i % N);
				rvs = 0;
				if (stack.size() < 1 || H[stack.back()] / nxt > 0) stack.push_back((i + 1) % N);
			}
		}
		else if (!fvis) {
			if (H[stack.back()] / nxt > 0) {
				rvs = 0;
				fvis = 1;
				stack.push_back((i + 1) % N);
			}
		}
		else if (!bvis) {
			if (H[stack.back()] / nxt < 0) {
				stack.pop_back();
				rvs = 1;
				bvis = 1;
				while (stack.size() && invisible(cur, nxt, H[stack.back()])) stack.pop_back();
			}
		}
	}

	memset(V, 0, sizeof V);
	for (const int& i : stack) V[H[i].i] = 1;
	std::cout << stack.size() << "\n";
	for (int i = 1; i <= N; i++) if (V[i]) std::cout << i << " ";
	return;
}
int main() { solve(); return 0; }//boj3303 Printed Circuit Board
# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 3 ms 860 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 600 KB Output is correct
11 Correct 2 ms 600 KB Output is correct
12 Correct 3 ms 712 KB Output is correct
13 Correct 5 ms 856 KB Output is correct
14 Correct 5 ms 1116 KB Output is correct
15 Correct 7 ms 1064 KB Output is correct
16 Correct 16 ms 1624 KB Output is correct
17 Correct 14 ms 1656 KB Output is correct
18 Correct 26 ms 2908 KB Output is correct
19 Correct 30 ms 2828 KB Output is correct
20 Correct 28 ms 2900 KB Output is correct