Submission #241914

# Submission time Handle Problem Language Result Execution time Memory
241914 2020-06-26T09:57:38 Z kostia244 Hamburg Steak (JOI20_hamburg) C++17
15 / 100
484 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;
pt Ts[maxn], Bs[maxn];
vector<pt> Ms, Mss, Msp;
map<int, vector<array<int, 3>>> ev;
void hell(vector<rc> r) {
	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]);
		auto [c, e] = info(i, b);
		if(c&(c-1)) continue;
		if(c == 1) {
			ev[i[2]+1].push_back({2, i[0], i[2]});
		} else if(c == 4) {
			ev[b[0]].push_back({3, i[0], i[2]});
			ev[i[0]].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) {
				ev[b[0]].push_back({1, i[1], i[3]});
				ev[i[0]].push_back({-1, i[1], i[3]});
				ev[i[2]+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) {
			if(t > 0) {
				(t == 1 ? Ll : (t == 2 ? Tl : Bl)).insert(l);
				(t == 1 ? Lr : (t == 2 ? Tr : Br)).insert(r);
			} else {
				(t == 1 ? Ll : (t == 2 ? Tl : Bl)).erase((t == 1 ? Ll : (t == 2 ? Tl : Bl)).find(l));
				(t == 1 ? Lr : (t == 2 ? Tr : Br)).erase((t == 1 ? Lr : (t == 2 ? Tr : Br)).find(r));
			}
		}
		/*
		for(int I = 2; I--;) {
			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);
					}
				}
			}
			swap(Ts, Bs);
			swap(Tl, Bl), swap(Tr, Br);
			swap(b[0], b[1]), swap(b[2], b[3]);
		}*/
	}
}
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:96:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |  for(int i = 1; i < Ms.size(); i++) Msp[i] = com(Msp[i], Msp[i-1]);
      |                 ~~^~~~~~~~~~~
hamburg.cpp:98:6: warning: unused variable 'p' [-Wunused-variable]
   98 |  int p, q;
      |      ^
hamburg.cpp:98:9: warning: unused variable 'q' [-Wunused-variable]
   98 |  int p, q;
      |         ^
hamburg.cpp: In function 'void gay(std::vector<std::array<int, 4> >, int, std::vector<std::array<int, 2> >)':
hamburg.cpp:142:29: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  142 |  if(r.empty() && ans.size() <= K) suicide(ans);
      |                  ~~~~~~~~~~~^~~~
hamburg.cpp:163:17: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  163 |   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 4 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
# 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 512 KB Output is correct
4 Correct 3 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 4 ms 532 KB Output is correct
9 Correct 3 ms 488 KB Output is correct
10 Correct 3 ms 544 KB Output is correct
11 Correct 3 ms 488 KB Output is correct
12 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 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 4 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Runtime error 34 ms 17640 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 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 344 ms 13368 KB Output is correct
6 Correct 354 ms 13364 KB Output is correct
7 Correct 347 ms 13360 KB Output is correct
8 Correct 363 ms 13360 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 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 358 ms 14636 KB Output is correct
6 Correct 355 ms 14640 KB Output is correct
7 Correct 343 ms 14648 KB Output is correct
8 Correct 375 ms 15272 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 512 KB Output is correct
4 Correct 3 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 4 ms 532 KB Output is correct
9 Correct 3 ms 488 KB Output is correct
10 Correct 3 ms 544 KB Output is correct
11 Correct 3 ms 488 KB Output is correct
12 Correct 3 ms 512 KB Output is correct
13 Correct 366 ms 13376 KB Output is correct
14 Correct 357 ms 13360 KB Output is correct
15 Correct 376 ms 13340 KB Output is correct
16 Correct 368 ms 13364 KB Output is correct
17 Correct 359 ms 13352 KB Output is correct
18 Correct 365 ms 13360 KB Output is correct
19 Correct 352 ms 15140 KB Output is correct
20 Correct 484 ms 18096 KB Output is correct
21 Correct 339 ms 15792 KB Output is correct
22 Correct 383 ms 17980 KB Output is correct
23 Correct 389 ms 17824 KB Output is correct
24 Correct 415 ms 17448 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 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 4 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Runtime error 34 ms 17640 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Halted 0 ms 0 KB -