Submission #241953

# Submission time Handle Problem Language Result Execution time Memory
241953 2020-06-26T12:08:32 Z kostia244 Hamburg Steak (JOI20_hamburg) C++17
15 / 100
503 ms 18096 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[3]+1].push_back({2, i[0], i[2]});
		} else if(c == 4) {
			assert(b[1] >= i[1]);
			ev[b[1]].push_back({3, i[0], i[2]});
			ev[i[1]].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[1]);
				ev[b[1]].push_back({1, i[1], i[3]});
				ev[i[1]].push_back({-1, i[1], i[3]});
				ev[i[3]+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 == 2 ? Tl : Bl))
			#define CURr (t == 1 ? Lr : (t == 2 ? Tr : Br))
			if(t > 0) {
				CURl.insert(l);
				CURr.insert(r);
			} else {
				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)) {}
				else {
					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:108:12: warning: structured binding declaration set but not used [-Wunused-but-set-variable]
  108 |   for(auto [t, l, r] : i.second) {
      |            ^~~~~~~~~
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:155:29: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  155 |  if(r.empty() && ans.size() <= K) suicide(ans);
      |                  ~~~~~~~~~~~^~~~
hamburg.cpp:176:17: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  176 |   if(ans.size() <= K)
      |      ~~~~~~~~~~~^~~~
# Verdict Execution time Memory 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 4 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 488 KB Output is correct
3 Correct 3 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 512 KB Output is correct
2 Correct 3 ms 512 KB Output is correct
3 Correct 3 ms 488 KB Output is correct
4 Correct 4 ms 512 KB Output is correct
5 Correct 3 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 488 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
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8704 KB Output is correct
2 Correct 8 ms 8704 KB Output is correct
3 Correct 8 ms 8704 KB Output is correct
4 Correct 8 ms 8704 KB Output is correct
5 Correct 8 ms 8704 KB Output is correct
6 Correct 8 ms 8704 KB Output is correct
7 Correct 19 ms 8836 KB Output is correct
8 Correct 21 ms 8832 KB Output is correct
9 Correct 20 ms 8820 KB Output is correct
10 Correct 20 ms 8832 KB Output is correct
11 Correct 20 ms 8832 KB Output is correct
12 Correct 19 ms 8704 KB Output is correct
13 Correct 20 ms 8832 KB Output is correct
14 Incorrect 20 ms 8832 KB Unexpected end of file - int32 expected
15 Halted 0 ms 0 KB -
# Verdict Execution time Memory 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 4 ms 512 KB Output is correct
5 Correct 421 ms 13352 KB Output is correct
6 Correct 368 ms 13356 KB Output is correct
7 Correct 353 ms 13348 KB Output is correct
8 Correct 357 ms 13360 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB Output is correct
2 Correct 3 ms 488 KB Output is correct
3 Correct 3 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 350 ms 14640 KB Output is correct
6 Correct 362 ms 14644 KB Output is correct
7 Correct 351 ms 14636 KB Output is correct
8 Correct 354 ms 15216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 512 KB Output is correct
2 Correct 3 ms 512 KB Output is correct
3 Correct 3 ms 488 KB Output is correct
4 Correct 4 ms 512 KB Output is correct
5 Correct 3 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 488 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 366 ms 13360 KB Output is correct
14 Correct 421 ms 13484 KB Output is correct
15 Correct 374 ms 13344 KB Output is correct
16 Correct 349 ms 13420 KB Output is correct
17 Correct 350 ms 13380 KB Output is correct
18 Correct 389 ms 13348 KB Output is correct
19 Correct 360 ms 15140 KB Output is correct
20 Correct 503 ms 18096 KB Output is correct
21 Correct 343 ms 15884 KB Output is correct
22 Correct 400 ms 18044 KB Output is correct
23 Correct 380 ms 17796 KB Output is correct
24 Correct 381 ms 17320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 8704 KB Output is correct
2 Correct 8 ms 8704 KB Output is correct
3 Correct 8 ms 8704 KB Output is correct
4 Correct 8 ms 8704 KB Output is correct
5 Correct 8 ms 8704 KB Output is correct
6 Correct 8 ms 8704 KB Output is correct
7 Correct 19 ms 8836 KB Output is correct
8 Correct 21 ms 8832 KB Output is correct
9 Correct 20 ms 8820 KB Output is correct
10 Correct 20 ms 8832 KB Output is correct
11 Correct 20 ms 8832 KB Output is correct
12 Correct 19 ms 8704 KB Output is correct
13 Correct 20 ms 8832 KB Output is correct
14 Incorrect 20 ms 8832 KB Unexpected end of file - int32 expected
15 Halted 0 ms 0 KB -