답안 #54990

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
54990 2018-07-05T16:49:21 Z linkret Printed Circuit Board (CEOI12_circuit) C++14
75 / 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, inf = 1e9;

struct line {
	int a, b;
};

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

int addlen[maxn], remlen[maxn];

line *add[maxn];
line *rem[maxn];

pair<pii, int> query[maxn];

vector<int> ans;

pii zero;

ll ccw(const pii &a, const pii &b, const 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(zero, a.f, b.f);

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

bool operator<(line x, line y) {
	const pii &xa = org[x.a];
	const pii &xb = org[x.b];

	const pii &ya = org[y.a];
	const pii &yb = org[y.b];

	if(xa == ya && xb == yb)
		return false;

	ll sum = ccw(xa, ya, xb) + ccw(xb, ya, yb);

	if(!sum) {
		if(xa.s == ya.s)
			return xa.f < ya.f;
		return xa.f < ya.f;
	}

	return sum > 0;
}

void sweep() {
	multiset<line> st;

	for(int t = 1; t <= k; t++) {
		for(int i = 0; i < addlen[t]; i++) {
			st.insert(add[t][i]);
		}
		
		if(!st.empty()) {
			line f = *st.begin();

			auto mnm = query[t];
			
			if(ccw(org[f.a], org[f.b], mnm.f) == 0) {
				ans.push_back(mnm.s);
			}
		}

		for(int i = 0; i < remlen[t]; i++) {
			auto it = st.find(rem[t][i]);
			st.erase(it);
		}
	}
}

void add_edge(int i, int j, int x, int y, bool b) {
	if(i < j) {
		if(b) {
			addlen[i]++;
			remlen[j]++;
		} else {
			add[i][addlen[i]++] = line{x, y};
			rem[j][remlen[j]++] = line{x, y};
		}
	} else {
		if(b) {
			addlen[j]++;
			remlen[i]++;
		} else {
			add[j][addlen[j]++] = line{y, x};
			rem[i][remlen[i]++] = line{y, x};
		}
	}
}

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

	for(int i = 0; i <= n; i++) {
		query[i] = {{inf, inf}, inf};
	}

	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] = min(query[k], p[i]);
	}
}

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

	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 - 1; i++) 
		add_edge(arr[i], arr[i + 1], i, i + 1, true);
	add_edge(arr[n - 1], arr[0], n - 1, 0, true);

	for(int i = 1; i <= k; i++) {
		add[i] = new line[addlen[i]];
		rem[i] = new line[remlen[i]];
		
		addlen[i] = 0;
		remlen[i] = 0;
	}

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

	sweep();

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

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

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

	cout << endl;

	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 4 ms 640 KB Output is correct
3 Correct 7 ms 912 KB Output is correct
4 Correct 5 ms 1216 KB Output is correct
5 Correct 14 ms 1844 KB Output is correct
6 Correct 12 ms 1948 KB Output is correct
7 Correct 28 ms 3248 KB Output is correct
8 Correct 13 ms 3248 KB Output is correct
9 Correct 9 ms 3248 KB Output is correct
10 Correct 14 ms 3248 KB Output is correct
11 Correct 20 ms 3248 KB Output is correct
12 Correct 20 ms 3248 KB Output is correct
13 Correct 51 ms 4620 KB Output is correct
14 Correct 51 ms 5516 KB Output is correct
15 Correct 49 ms 6668 KB Output is correct
16 Execution timed out 102 ms 12844 KB Time limit exceeded
17 Execution timed out 183 ms 13756 KB Time limit exceeded
18 Runtime error 346 ms 33792 KB Execution killed with signal 9 (could be triggered by violating memory limits)
19 Runtime error 281 ms 33792 KB Execution killed with signal 9 (could be triggered by violating memory limits)
20 Runtime error 35 ms 33792 KB Execution killed with signal 11 (could be triggered by violating memory limits)