답안 #951025

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
951025 2024-03-21T04:41:13 Z vjudge1 Printed Circuit Board (CEOI12_circuit) C++17
95 / 100
29 ms 4956 KB
#include <iostream>
#include <algorithm>
#include <vector>

typedef long long ll;
const int LEN = 200'001;

struct Pos {
	ll x, y;
	int i;
	ll s() const { return x * x + y * y; }
	bool operator<(const Pos& r) const { return y * r.x < r.y * x; }
	bool operator==(const Pos& r) const { return y * r.x == r.y * x; }
	friend std::istream& operator>>(std::istream& is, Pos& p) { is >> p.x >> p.y; return is; }
} O = { 0, 0 }, p[LEN];
ll cross(const Pos& p1, const Pos& p2, const Pos& p3) { return (p2.x - p1.x) * (p3.y - p2.y) - (p2.y - p1.y) * (p3.x - p2.x); }
ll ccw(const Pos& p1, const Pos& p2, const Pos& p3) {
	ll ret = cross(p1, p2, p3);
	return ret < 0 ? -1 : !!ret;
}

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;
}

int N, L, R;

int main() {
	std::cin.tie(0)->sync_with_stdio(0);
	std::cin >> N >> p[0];
	p[0].i = 1;
	ll area = 0;
	for (int i = 1; i < N; ++i) {
		std::cin >> p[i];
		p[i].i = i + 1;
		area += cross(O, p[i - 1], p[i]);
	}
	area += cross(O, p[N - 1], p[0]);
	if (area > 0) std::reverse(p, p + N);
	for (int i = 1; i < N; ++i) {
		if (p[L] < p[i] || p[i] == p[L] && p[i].s() < p[L].s()) L = i;
		if (p[i] < p[R] || p[i] == p[R] && p[i].s() < p[R].s()) R = i;
	}
	std::rotate(p, p + R, p + N);
	L = (L - R + N) % N;

	// std::cout << R << ' ' << L << '\n';
	// std::cout << p[0].i << ' ' << p[L].i << '\n';

	std::vector<int> stack; // monotonic, ccw order
	stack.push_back(0);
	if (L > 1) stack.push_back(1);

	for (int i = 2, fv = -1, bv = -1, cw = 0; i <= L; ++i) {
		// j -> i
		ll dir = cross(O, p[i - 1], p[i]);
		ll ccw = cross(p[i - 2], p[i - 1], p[i]);

		if (!~fv && !~bv) {
			if (dir < 0) { // cw
				if (!cw && ccw < 0) {
					cw = 1;
					fv = i - 1;
					continue;
				}
				cw = 1;
				while (stack.size() && invisible(p[i - 1], p[i], p[stack.back()])) stack.pop_back();
			}
			else if (dir == 0) {
				if (p[i].s() < p[i - 1].s()) {
					if (stack.back() == i - 1) stack.pop_back();
					if (stack.empty() || p[stack.back()] < p[i]) stack.push_back(i);
				}
			}
			else if (dir > 0) { // ccw
				if (cw && ccw > 0) {
					cw = 0;
					bv = i - 1;
					continue;
				}
				if (!stack.empty() && cw && p[stack.back()] < p[i - 1]) stack.push_back(i - 1);
				cw = 0;
				if (stack.empty() || p[stack.back()] < p[i]) stack.push_back(i);
			}
		}
		else if (~fv) {
			if (p[fv] < p[i]) {
				cw = 0;
				fv = -1;
				stack.push_back(i);
			}
		}
		else if (~bv) {
			if (p[i] < p[bv]) {
				cw = 1;
				bv = -1;
				while (stack.size() && invisible(p[i - 1], p[i], p[stack.back()])) stack.pop_back();
				//if (stack.empty() || p[stack.back()] < p[i]) stack.push_back(i);
			}
		}
	}

	std::vector<int> ret;
	for (const int& i : stack) ret.push_back(p[i].i);
	std::sort(ret.begin(), ret.end());
	std::cout << ret.size() << '\n';
	for (const int& i : ret) std::cout << i << ' ';
}

Compilation message

circuit.cpp: In function 'int main()':
circuit.cpp:41:35: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   41 |   if (p[L] < p[i] || p[i] == p[L] && p[i].s() < p[L].s()) L = i;
      |                      ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
circuit.cpp:42:35: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   42 |   if (p[i] < p[R] || p[i] == p[R] && p[i].s() < p[R].s()) R = i;
      |                      ~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Incorrect 0 ms 348 KB Output isn't correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 600 KB Output is correct
5 Correct 3 ms 2688 KB Output is correct
6 Correct 2 ms 2652 KB Output is correct
7 Correct 4 ms 2652 KB Output is correct
8 Correct 2 ms 2652 KB Output is correct
9 Correct 2 ms 2652 KB Output is correct
10 Correct 3 ms 2648 KB Output is correct
11 Correct 2 ms 2652 KB Output is correct
12 Correct 4 ms 2652 KB Output is correct
13 Correct 5 ms 2652 KB Output is correct
14 Correct 5 ms 2684 KB Output is correct
15 Correct 8 ms 2652 KB Output is correct
16 Correct 13 ms 4732 KB Output is correct
17 Correct 14 ms 4700 KB Output is correct
18 Correct 25 ms 4956 KB Output is correct
19 Correct 25 ms 4952 KB Output is correct
20 Correct 29 ms 4956 KB Output is correct