oj.uz

Submission #241896

# Submission time Handle Problem Language Result Execution time Memory
241896 2020-06-26T09:31:34 Z kostia244 Hamburg Steak (JOI20_hamburg) C++17
15 / 100
 431 ms 18104 KB 
#include<bits/stdc++.h>
#define all(x) x.begin(), x.end()
using namespace std;
const int inf = 1<<30, maxn = 1<<18;
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--;) 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));
			}
		}
		//case 1 has the leftmost thing
		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<rc> 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]});
					}
				}
			}
			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:98:9: 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:141:29: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  141 |  if(r.empty() && ans.size() <= K) suicide(ans);
      |                  ~~~~~~~~~~~^~~~
hamburg.cpp:162:17: warning: comparison of integer expressions of different signedness: 'std::vector<std::array<int, 2> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  162 |   if(ans.size() <= K)
      |      ~~~~~~~~~~~^~~~

Subtask #1
1.0 / 1.0

# 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 4 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct

Subtask #2
1.0 / 1.0

# 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 4 ms 512 KB Output is correct
4 Correct 4 ms 512 KB Output is correct

Subtask #3
3.0 / 3.0

# 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 4 ms 512 KB Output is correct
7 Correct 4 ms 512 KB Output is correct
8 Correct 4 ms 484 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 4 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

# 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 508 KB Output is correct
5 Correct 3 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Runtime error 21 ms 9344 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Halted 0 ms 0 KB -

Subtask #5
1.0 / 1.0

# 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 4 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 395 ms 13352 KB Output is correct
6 Correct 369 ms 13348 KB Output is correct
7 Correct 348 ms 13344 KB Output is correct
8 Correct 359 ms 13364 KB Output is correct

Subtask #6
3.0 / 3.0

# 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 4 ms 512 KB Output is correct
4 Correct 4 ms 512 KB Output is correct
5 Correct 349 ms 14760 KB Output is correct
6 Correct 356 ms 14760 KB Output is correct
7 Correct 365 ms 14736 KB Output is correct
8 Correct 357 ms 15140 KB Output is correct

Subtask #7
6.0 / 6.0

# 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 4 ms 512 KB Output is correct
7 Correct 4 ms 512 KB Output is correct
8 Correct 4 ms 484 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 4 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 364 ms 13364 KB Output is correct
14 Correct 356 ms 13476 KB Output is correct
15 Correct 378 ms 13348 KB Output is correct
16 Correct 356 ms 13364 KB Output is correct
17 Correct 356 ms 13360 KB Output is correct
18 Correct 371 ms 13320 KB Output is correct
19 Correct 343 ms 15172 KB Output is correct
20 Correct 431 ms 18104 KB Output is correct
21 Correct 339 ms 15792 KB Output is correct
22 Correct 389 ms 17952 KB Output is correct
23 Correct 381 ms 17964 KB Output is correct
24 Correct 375 ms 17340 KB Output is correct

Subtask #8
0 / 79.0

# 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 508 KB Output is correct
5 Correct 3 ms 512 KB Output is correct
6 Correct 3 ms 512 KB Output is correct
7 Runtime error 21 ms 9344 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Halted 0 ms 0 KB -