oj.uz

Submission #217247

# Submission time Handle Problem Language Result Execution time Memory
217247 2020-03-29T10:07:05 Z Toadologist Hamburg Steak (JOI20_hamburg) C++11
2 / 100
 325 ms 8720 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef pair<int, int> pii;
#ifdef DEBUG
#define display(x) cerr << #x << " = " << x << endl;
#define displaya(a, st, n)\
	{cerr << #a << " = {";\
	for(int qwq = (st); qwq <= (n); ++qwq) {\
		if(qwq == (st)) cerr << a[qwq];\
		else cerr << ", " << a[qwq];\
	} cerr << "}" << endl;}
#define displayv(v) displaya(v, 0, (int)(v).size() - 1)
#define eprintf(...) fprintf(stderr, __VA_ARGS__)
#else
#define display(x) ;
#define displaya(a, st, n) ;
#define displayv(v) ;
#define eprintf(...) if(0) fprintf(stderr, "...")
#endif
template<typename T> bool chmin(T &a, const T &b) { return a > b ? a = b, true : false; }
template<typename T> bool chmax(T &a, const T &b) { return a < b ? a = b, true : false; }
template<typename A, typename B>
ostream& operator << (ostream& out, const pair<A, B> &p) {
	return out << '(' << p.first << ", " << p.second << ')';
}

const int maxN = 200000 + 5;
struct Rect {
	int L, D, R, U;
	Rect(int l, int d, int r, int u) : L(l), D(d), R(r), U(u) {}
	LL area() const {
		return (LL)max(0, R - L + 1) * (LL)max(0, U - D + 1);
	}
	bool hit(pii p) const {
		return L <= p.first && p.first <= R && D <= p.first && p.first <= U;
	}
};
int nx, ny;
vector<int> tx, ty;

Rect com(Rect x, Rect y) {
	return Rect(max(x.L, y.L), max(x.D, y.D), min(x.R, y.R), min(x.U, y.U));
}

void disc(vector<Rect> &v) {
	{
	vector<int> &t = tx;
	t.clear();
	for(auto r : v) t.push_back(r.L), t.push_back(r.R);
	sort(t.begin(), t.end());
	t.erase(unique(t.begin(), t.end()), t.end());
	for(auto &r : v)
		r.L = lower_bound(t.begin(), t.end(), r.L) - t.begin() + 1,
		r.R = lower_bound(t.begin(), t.end(), r.R) - t.begin() + 1;
	nx = t.size();
	}
	{
	vector<int> &t = ty;
	t.clear();
	for(auto r : v) t.push_back(r.D), t.push_back(r.U);
	sort(t.begin(), t.end());
	t.erase(unique(t.begin(), t.end()), t.end());
	for(auto &r : v)
		r.D = lower_bound(t.begin(), t.end(), r.D) - t.begin() + 1,
		r.U = lower_bound(t.begin(), t.end(), r.U) - t.begin() + 1;
	ny = t.size();
	}
}

vector<Rect> ans;

vector<int> oned(vector<pii> &v) {
	vector<int> res;
	sort(v.begin(), v.end());
	int last = max(nx, ny) + 1;
	for(int i = (int)v.size() - 1; i >= 0; --i) {
		if(v[i].first <= last && last <= v[i].second) continue;
		else res.push_back(last = v[i].first);
	}
	return res;
}

bool solve(vector<Rect> &v, int k, vector<pii> &res) {
	res.clear();
	{ // k == 0
		if(v.size() == 0) return true;
		if(k <= 0) return false;
	}
	
	Rect c(1, 1, nx, ny);
	for(auto r : v) c = com(c, r);
	{ // k == 1
		if(c.area() > 0) {
			res.emplace_back(c.L, c.D);
			return true;
		}
		if(k <= 1) return false;
	}
	if(c.L <= c.R) {
		vector<pii> segs;
		for(int i = 0; i < (int)v.size(); ++i)
			segs.emplace_back(v[i].D, v[i].U);
		vector<int> pos = oned(segs);
		if((int)pos.size() > k) return false;
		
		for(auto p : pos) res.emplace_back(c.L, p);
		return true;
	}
	if(c.D <= c.U) {
		vector<pii> segs;
		for(int i = 0; i < (int)v.size(); ++i)
			segs.emplace_back(v[i].L, v[i].R);
		vector<int> pos = oned(segs);
		if((int)pos.size() > k) return false;
		
		for(auto p : pos) res.emplace_back(p, c.D);
		return true;
	}
	{ // k == 2
		auto check = [&](pii x, pii y) {
			for(auto r : v) {
				if(!r.hit(x) && !r.hit(y))
					return false;
			}
			res.push_back(x);
			res.push_back(y);
			return true;
		};
		if(check(pii(c.L, c.D), pii(c.R, c.U))) return true;
		if(check(pii(c.L, c.U), pii(c.R, c.D))) return true;
		if(k <= 2) return false;
	}
	{ // k == 3
		auto check = [&](pii x) {
			vector<Rect> nv;
			vector<pii> sol;
			for(auto r : v) {
				if(!r.hit(x)) nv.push_back(r);
			}
			if(solve(nv, k - 1, sol)) {
				res.push_back(x);
				res.insert(res.end(), sol.begin(), sol.end());
				return true;
			}
			return false;
		};
		if(check(pii(c.L, c.D))) return true;
		if(check(pii(c.L, c.U))) return true;
		if(check(pii(c.R, c.D))) return true;
		if(check(pii(c.R, c.U))) return true;
		if(k <= 3) return false;
	}
	{
	}
	return false;
}

int main() {
#ifndef LOCAL
	ios::sync_with_stdio(false);
	cin.tie(0); cout.tie(0);
#endif
	int n, k;
	cin >> n >> k;
	vector<Rect> v;
	for(int i = 0; i < n; ++i) {
		int l, d, r, u;
		cin >> l >> d >> r >> u;
		v.emplace_back(l, d, r, u);
	}
	disc(v);
	for(auto r : v) eprintf("rect %d %d %d %d\n", r.L, r.D, r.R, r.U);
	
	vector<pii> res;
	bool ok = solve(v, k, res);
	assert(ok);
	while((int)res.size() < k) res.emplace_back(1, 1);
	for(auto p : res) cout << tx[p.first - 1] << " " << ty[p.second - 1] << endl;
	return 0;
}

Compilation message

hamburg.cpp: In function 'int main()':
hamburg.cpp:173:11: warning: variable 'r' set but not used [-Wunused-but-set-variable]
  173 |  for(auto r : v) eprintf("rect %d %d %d %d\n", r.L, r.D, r.R, r.U);
      |           ^

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 488 KB Output is correct

Subtask #2
0 / 1.0

# Verdict Execution time Memory Grader output
1 Runtime error 4 ms 640 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #3
0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Runtime error 4 ms 768 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Halted 0 ms 0 KB -

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 452 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Runtime error 4 ms 768 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 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 488 KB Output is correct
5 Correct 307 ms 8684 KB Output is correct
6 Correct 325 ms 8720 KB Output is correct
7 Correct 303 ms 8672 KB Output is correct
8 Correct 302 ms 8676 KB Output is correct

Subtask #6
0 / 3.0

# Verdict Execution time Memory Grader output
1 Runtime error 4 ms 640 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -

Subtask #7
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Runtime error 4 ms 768 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Halted 0 ms 0 KB -

Subtask #8
0 / 79.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 452 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Runtime error 4 ms 768 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Halted 0 ms 0 KB -