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답안 #241974

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
241974 2020-06-26T13:01:14 Z kostia244 함박 스테이크 (JOI20_hamburg) C++17
15 / 100
 480 ms 18208 KB 
#include<bits/stdc++.h>
#define all(x) x.begin(), x.end()
using namespace std;
const int inf = 1<<30, maxn = 1<<19;
using rc = array<int, 4>;
using pt = array<int, 2>;
int n, k;
vector<int> cx, cy;
bool isect(pt x, int y) {
	return x[0] <= y && y <= x[1];
}
bool isect(rc x, pt y) {
	return isect({x[0], x[2]}, y[0]) && isect({x[1], x[3]}, y[1]);
}
pt com(pt x, pt y) {
	return {max(x[0], y[0]), min(x[1], y[0])};
}
bool empty(pt x) {
	return x[0] > x[1];
}
rc bounds(vector<rc> r) {
	rc b = {0, 0, 3*n, 3*n};
	for(auto t : r)
		for(int j = 0; j < 4; j++)
			b[j] = (j < 2 ? max(b[j], t[j]) : min(b[j], t[j]));
	return b;
}
void suicide(vector<pt> r) {
	while(r.size() < k) r.push_back({1, 1});
	for(auto &i : r) cout << cx[i[0]] << " " << cy[i[1]] << '\n';
	exit(0);
}
pair<int, int> info(rc r, rc b) {
	int c = 0, e = 0;
	for(int i = 0; i < 4; i++) {
		e |= isect({r[0+(i&1)], r[2+(i&1)]}, b[i])<<i;
		c |= isect(r, {b[(i&1)*2], b[1+(i&2)]})<<i;
	}
	return {c, e};
}
vector<rc> split(vector<rc> r, pt f) {
	for(int i = r.size(); i--;) {
		if(isect(r[i], f)) swap(r[i], r.back()), r.pop_back();
	}
	return r;
}
multiset<int> Ll, Lr, Tl, Tr, Bl, Br;
vector<pt> Ts, Bs;
vector<pt> Ms, Mss, Msp;
map<int, vector<array<int, 3>>, greater<int>> ev;
void hell(vector<rc> r) {
	Ts.resize(maxn), Bs.resize(maxn);
	pt g = {-inf, inf};
	rc b = bounds(r);
	if(b[0] <= b[2] || b[1] <= b[3]) return;
	for(int i = 0; i < maxn; i++) Ts[i] = Bs[i] = {-inf, inf};
	for(auto &i : r) {
		i[0] = max(i[0], b[2]);
		i[2] = min(i[2], b[0]);
		i[1] = max(i[1], b[3]);
		i[3] = min(i[3], b[1]);
		
		i[2] = max(i[2], b[2]);
		i[0] = min(i[0], b[0]);
		i[3] = max(i[3], b[3]);
		i[1] = min(i[1], b[1]);
		auto [c, e] = info(i, b);
		if(c&(c-1)) continue;
		if(c == 1) {
			ev[i[1]+1].push_back({2, i[0], i[2]});
		} else if(c == 4) {
			assert(b[1] >= i[3]);
			ev[b[1]].push_back({3, i[0], i[2]});
			ev[i[3]].push_back({-3, i[0], i[2]});
		} else if(int c = isect({i[0], i[2]}, b[0])*2 + isect({i[0], i[2]}, b[2]); c) {
			if(c == 1) {
				Ll.insert(i[1]);
				Lr.insert(i[3]);
			} else if(c == 3) {
				assert(b[1] >= i[3]);
				ev[b[1]].push_back({1, i[1], i[3]});
				ev[i[3]].push_back({-1, i[1], i[3]});
				ev[i[1]-1].push_back({1, i[1], i[3]});
			} else
				g = com(g, {i[1], i[3]});
		} else if(c == 2 || c == 8) {
			if(c == 8) swap(Ts, Bs);
			Ts[i[0]-1] = com(Ts[i[0]-1], {i[1], i[2]});
			if(c == 8) swap(Ts, Bs);
		} else if(int c = isect({i[1], i[3]}, b[1])*2 + isect({i[1], i[3]}, b[3]); c) {
			if(c == 3) {
				Ms.push_back({i[0], i[2]});
			} else {
				(c == 1 ? Bl : Tl).insert(i[0]);
				(c == 1 ? Br : Tr).insert(i[2]);
			}
		}
	}
	for(int i = 1; i < maxn; i++)
		Ts[i] = com(Ts[i], Ts[i-1]),
		Bs[i] = com(Bs[i], Bs[i-1]);
	sort(all(Ms));
	Mss = Msp = Ms;
	for(int i = 1; i < Ms.size(); i++) Msp[i] = com(Msp[i], Msp[i-1]);
	for(int i = (int)Ms.size()-1; i-- > 0;) Mss[i] = com(Mss[i+1], Mss[i]);
	int p, q;
	for(auto i : ev) {
		for(auto [t, l, r] : i.second) {
			#define CURl (t == 1 ? Ll : (t == 3 ? Tl : Bl))
			#define CURr (t == 1 ? Lr : (t == 3 ? Tr : Br))
			if(t > 0) {
				t = abs(t);
				CURl.insert(l);
				CURr.insert(r);
			} else {
				t = abs(t);
				assert(CURl.find(l) != CURl.end());
				assert(CURr.find(r) != CURr.end());
				CURl.erase(CURl.find(l));
				CURr.erase(CURr.find(r));
			}
		}
		
		for(int I = 2; I--;) {
			swap(Ts, Bs);
			swap(Tl, Bl), swap(Tr, Br);
			swap(b[0], b[1]), swap(b[2], b[3]);
			auto [sLl, sLr] = Ll.empty() ? pt{b[3], b[1]} : pt{*Ll.rbegin(), *Lr.begin()};
			auto [sTl, sTr] = Tl.empty() ? pt{b[2], b[0]} : pt{*Tl.rbegin(), *Tr.begin()};
			auto [sBl, sBr] = Bl.empty() ? pt{b[2], b[0]} : pt{*Bl.rbegin(), *Br.begin()};
			if(i.first < g[0] || i.first > g[1] || sLl > sLr || sTl > sTr || sBl > sBr) continue;
			p = Ms.size();
			for(int i = 1<<19; i>>=1;)
			if(p-i >= 0 && !empty(com(Mss[p-i], {sTl, sTr}))) p -= i;
			if(p == 0 || !empty(com(Msp[p-1], {sBl, sBr}))) {
				pt br = com(Msp[p-1], {sBl, sBr});
				pt tr = com(Mss[p], {sTl, sTr});
				if(empty(br)||empty(tr)) continue;
				
				pt lr = com({sLl, sLr}, com(Ts[tr[0]-1], Bs[br[0]-1]));
				if(!empty(lr)) {
					vector<pt> ans;
					ans.push_back({b[0], i.first});
					ans.push_back({b[1], tr[0]});
					ans.push_back({b[3], br[0]});
					ans.push_back({b[2], lr[0]});
					suicide(ans);
				}
				
			}
		}
	}
}
int K;
void gay(vector<rc> r, int k, vector<pt> ans) {
	if(r.empty() && ans.size() <= K) suicide(ans);
	if(k == 0) return;
	rc b = bounds(r);
	if(b[0] <= b[2] || b[1] <= b[3]) {
		int rev = 0;
		if(b[0] > b[2]) {
			swap(b[0], b[1]), swap(b[2], b[3]);
			for(auto &b : r)
				swap(b[0], b[1]), swap(b[2], b[3]);
			rev = 1;
		}
		vector<pt> segs;
		for(auto [l, d, r, u] : r) segs.push_back({d, u});
		sort(all(segs), greater<>());
		int c = inf;
		for(auto i : segs) {
			if(i[1] < c) {
				c = i[0];
				ans.push_back(rev ? pt{i[0], b[0]} : pt{b[0], i[0]});
			}
		}
		if(ans.size() <= K)
			suicide(ans);
		if(rev) {
			swap(b[0], b[1]), swap(b[2], b[3]);
			for(auto &b : r)
				swap(b[0], b[1]), swap(b[2], b[3]); 
		}
	}
	for(int i = 0; i < 4; i++) {
		pt P {b[2*(i&1)], b[1 + (i&2)]};
		ans.push_back(P);
		gay(split(r, P), k-1, ans);
		ans.pop_back();
	}
}
int main() {
	cin.tie(0)->sync_with_stdio(0);
	cin >> n >> k;
	K = k;
	vector<rc> r(n);
	cx = cy = {-inf, inf};
	for(auto &i : r)
		for(int j = 0; j < 4; j++) cin >> i[j], (j%2 ? cy : cx).push_back(i[j]);
	for(auto *i : {&cx, &cy})
		sort(i->begin(), i->end());
	for(auto &i : r)
		for(int j = 0; j < 4; j++) {
			i[j] = lower_bound(all(cx), i[j]) - cx.begin();
			swap(cx, cy);
		}
	if(k == 4) hell(r);
	gay(r, k, {});
	return 0;
}

Compilation message

hamburg.cpp: In function 'void suicide(std::vector<std::array<int, 2> >)':
hamburg.cpp:29:17: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   29 |  while(r.size() < k) r.push_back({1, 1});
      |        ~~~~~~~~~^~~
hamburg.cpp: In function 'void hell(std::vector<std::array<int, 4> >)':
hamburg.cpp:104:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  104 |  for(int i = 1; i < Ms.size(); i++) Msp[i] = com(Msp[i], Msp[i-1]);
      |                 ~~^~~~~~~~~~~
hamburg.cpp:106:9: warning: unused variable 'q' [-Wunused-variable]
  106 |  int p, q;
      |         ^
hamburg.cpp: In function 'void gay(std::vector<std::array<int, 4> >, int, std::vector<std::array<int, 2> >)':
hamburg.cpp:156:29: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  156 |  if(r.empty() && ans.size() <= K) suicide(ans);
      |                  ~~~~~~~~~~~^~~~
hamburg.cpp:177:17: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  177 |   if(ans.size() <= K)
      |      ~~~~~~~~~~~^~~~

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 512 KB Output is correct
3 Correct 3 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct

Subtask #2
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 4 ms 512 KB Output is correct
3 Correct 3 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct

Subtask #3
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 512 KB Output is correct
2 Correct 3 ms 512 KB Output is correct
3 Correct 4 ms 512 KB Output is correct
4 Correct 5 ms 512 KB Output is correct
5 Correct 5 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 3 ms 512 KB Output is correct
8 Correct 3 ms 512 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 3 ms 512 KB Output is correct
11 Correct 3 ms 512 KB Output is correct
12 Correct 3 ms 512 KB Output is correct

Subtask #4
0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 8664 KB Output is correct
2 Correct 8 ms 8704 KB Output is correct
3 Correct 9 ms 8704 KB Output is correct
4 Correct 10 ms 8704 KB Output is correct
5 Correct 8 ms 8704 KB Output is correct
6 Correct 8 ms 8716 KB Output is correct
7 Correct 19 ms 8832 KB Output is correct
8 Correct 20 ms 8832 KB Output is correct
9 Correct 19 ms 8832 KB Output is correct
10 Correct 22 ms 8832 KB Output is correct
11 Correct 21 ms 8892 KB Output is correct
12 Correct 19 ms 8704 KB Output is correct
13 Correct 18 ms 8832 KB Output is correct
14 Incorrect 22 ms 8832 KB Unexpected end of file - int32 expected
15 Halted 0 ms 0 KB -

Subtask #5
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 512 KB Output is correct
3 Correct 3 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 359 ms 13352 KB Output is correct
6 Correct 355 ms 13344 KB Output is correct
7 Correct 374 ms 13476 KB Output is correct
8 Correct 365 ms 13360 KB Output is correct

Subtask #6
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 4 ms 512 KB Output is correct
3 Correct 3 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 338 ms 14688 KB Output is correct
6 Correct 391 ms 14684 KB Output is correct
7 Correct 402 ms 14644 KB Output is correct
8 Correct 379 ms 15136 KB Output is correct

Subtask #7
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 4 ms 512 KB Output is correct
2 Correct 3 ms 512 KB Output is correct
3 Correct 4 ms 512 KB Output is correct
4 Correct 5 ms 512 KB Output is correct
5 Correct 5 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Correct 3 ms 512 KB Output is correct
8 Correct 3 ms 512 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 3 ms 512 KB Output is correct
11 Correct 3 ms 512 KB Output is correct
12 Correct 3 ms 512 KB Output is correct
13 Correct 373 ms 13352 KB Output is correct
14 Correct 378 ms 13360 KB Output is correct
15 Correct 363 ms 13348 KB Output is correct
16 Correct 364 ms 13360 KB Output is correct
17 Correct 357 ms 13472 KB Output is correct
18 Correct 403 ms 13308 KB Output is correct
19 Correct 353 ms 15156 KB Output is correct
20 Correct 480 ms 18208 KB Output is correct
21 Correct 388 ms 15796 KB Output is correct
22 Correct 414 ms 17952 KB Output is correct
23 Correct 471 ms 17916 KB Output is correct
24 Correct 379 ms 17316 KB Output is correct

Subtask #8
0 / 79.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 8664 KB Output is correct
2 Correct 8 ms 8704 KB Output is correct
3 Correct 9 ms 8704 KB Output is correct
4 Correct 10 ms 8704 KB Output is correct
5 Correct 8 ms 8704 KB Output is correct
6 Correct 8 ms 8716 KB Output is correct
7 Correct 19 ms 8832 KB Output is correct
8 Correct 20 ms 8832 KB Output is correct
9 Correct 19 ms 8832 KB Output is correct
10 Correct 22 ms 8832 KB Output is correct
11 Correct 21 ms 8892 KB Output is correct
12 Correct 19 ms 8704 KB Output is correct
13 Correct 18 ms 8832 KB Output is correct
14 Incorrect 22 ms 8832 KB Unexpected end of file - int32 expected
15 Halted 0 ms 0 KB -