oj.uz

Submission #1050350

# Submission time Handle Problem Language Result Execution time Memory
1050350 2024-08-09T08:52:26 Z ksun69(#11101) Hamburg Steak (JOI20_hamburg) C++17
15 / 100
 649 ms 81764 KB 
#include <bits/stdc++.h>
using namespace std;

namespace std {

template<class Fun>
class y_combinator_result {
	Fun fun_;
public:
	template<class T>
	explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}

	template<class ...Args>
	decltype(auto) operator()(Args &&...args) {
		return fun_(std::ref(*this), std::forward<Args>(args)...);
	}
};

template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
	return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

} // namespace std

int main(){
	ios_base::sync_with_stdio(false), cin.tie(nullptr);
	int N, K;
	cin >> N >> K;
	vector<vector<int> > S(N, vector<int>(4));
	for(int i = 0; i < N; i++){
		for(int j = 0; j < 4; j++){
			cin >> S[i][j];
		}
	}
	vector<int> x_values, y_values;
	for(int i = 0; i < N; i++){
		x_values.push_back(S[i][0]);
		x_values.push_back(S[i][2]);
		y_values.push_back(S[i][1]);
		y_values.push_back(S[i][3]);
	}
	sort(x_values.begin(), x_values.end());
	sort(y_values.begin(), y_values.end());
	x_values.erase(unique(x_values.begin(), x_values.end()), x_values.end());
	y_values.erase(unique(y_values.begin(), y_values.end()), y_values.end());

	auto get_compress_x = [&](int x){
		return int(lower_bound(x_values.begin(), x_values.end(), x) - x_values.begin());
	};
	auto get_compress_y = [&](int y){
		return int(lower_bound(y_values.begin(), y_values.end(), y) - y_values.begin());
	};

	for(int i = 0; i < N; i++){
		S[i][0] = get_compress_x(S[i][0]);
		S[i][1] = get_compress_y(S[i][1]);
		S[i][2] = get_compress_x(S[i][2]);
		S[i][3] = get_compress_y(S[i][3]);
	}

	// L D R U
	vector<pair<int,int> > bad = {{-1, -1}};
	auto sol = y_combinator([&](auto self, vector<vector<int>> s, int k) -> vector<pair<int,int> > {
		if(s.size() == 0) return vector<pair<int,int> >(k, {0, 0});
		if(k == 0) return bad;
		vector<int> bounds {int(-1e9), int(-1e9), int(1e9), int(1e9)};
		for(int i = 0; i < (int)s.size(); i++){
			bounds[0] = max(bounds[0], s[i][0]);
			bounds[1] = max(bounds[1], s[i][1]);
			bounds[2] = min(bounds[2], s[i][2]);
			bounds[3] = min(bounds[3], s[i][3]);
		}
		for(int x : {bounds[0], bounds[2]}){
			for(int y : {bounds[1], bounds[3]}){
				vector<vector<int> > nxt;
				for(int i = 0; i < (int)s.size(); i++){
					if(!(s[i][0] <= x && s[i][2] >= x && s[i][1] <= y && s[i][3] >= y)) nxt.push_back(s[i]);
				}
				auto res = self(nxt, k-1);
				if(res != bad) {
					res.push_back({x, y});
					return res;
				}
			}
		}
		return bad;
	})(S, K);
	if(sol != bad){
		for(int i = 0; i < K; i++){
			cout << x_values[sol[i].first] << ' ' << y_values[sol[i].second] << '\n';
		}
		exit(0);
	}
	assert(K == 4);

	vector<int> bounds {int(-1e9), int(-1e9), int(1e9), int(1e9)};
	for(int i = 0; i < N; i++){
		bounds[0] = max(bounds[0], S[i][0]);
		bounds[1] = max(bounds[1], S[i][1]);
		bounds[2] = min(bounds[2], S[i][2]);
		bounds[3] = min(bounds[3], S[i][3]);
	}
	swap(bounds[0], bounds[2]);
	swap(bounds[1], bounds[3]);
	int lx = bounds[0];
	int rx = bounds[2];
	int ly = bounds[1];
	int ry = bounds[3];
	assert(lx < rx && ly < ry);
	for(int i = 0; i < N; i++){
		S[i][0] = max(S[i][0], lx);
		S[i][1] = max(S[i][1], ly);
		S[i][2] = min(S[i][2], rx);
		S[i][3] = min(S[i][3], ry);
	}
	vector<vector<vector<int> > > constraints(16);
	for(int i = 0; i < N; i++){
		int mask = 0;
		for(int j = 0; j < 4; j++){
			if(S[i][j] == bounds[j]) mask |= (1 << j);
		}
		constraints[mask].push_back(S[i]);
	}
	assert(constraints[0].size() == 0);
	vector<pair<int,int> > sides(4);
	for(int b = 0; b < 4; b++){
		assert(!constraints[1 << b].empty());
		pair<int,int> lr = {int(-1e9), int(1e9)};
		for(auto v : constraints[1 << b]){
			lr.first = max(lr.first, v[(b & 1) ^ 1]);
			lr.second = min(lr.second, v[(b & 1) ^ 3]);
		}
		sides[b] = lr;
	}

	auto remove_contained_rectangles = [&](vector<vector<int> > &rectangles){
		sort(rectangles.begin(), rectangles.end(), [&](vector<int> a, vector<int> b){
			return pair<int,int>(a[2] - a[0], a[3] - a[1]) < pair<int,int>(b[2] - b[0], b[3] - b[1]);
		});
		vector<vector<int> > stk;
		for(auto v : rectangles){
			while(!stk.empty() && stk.back()[0] >= v[0] && stk.back()[1] >= v[1] && stk.back()[2] <= v[2] && stk.back()[3] <= v[3]){
				stk.pop_back();
			}
			stk.push_back(v);
		}
		rectangles = stk;
	};
	for(int msk = 0; msk < (1 << 4); msk++){
		remove_contained_rectangles(constraints[msk]);
	}
	vector<pair<int,int> > x_constraints, y_constraints;
	for(vector<int> c : constraints[(1 << 1) ^ (1 << 3)]){
		x_constraints.push_back({c[0], c[2]});
	}
	for(vector<int> c : constraints[(1 << 2) ^ (1 << 0)]){
		y_constraints.push_back({c[1], c[3]});
	}

	auto generate_map = [&](vector<pair<int,int> > constraints, int L, pair<int,int> l_bounds, pair<int,int> bounds) -> vector<pair<int,int> > {
		vector<vector<pair<int,int> > > ins(L);
		vector<vector<pair<int,int> > > rem(L);
		multiset<int> lb;
		multiset<int> ub;
		ub.insert(bounds.second);
		lb.insert(bounds.first);
		for(auto [l, r] : constraints){
			rem[l].push_back({l, r});
			ins[r].push_back({l, r});
			lb.insert(l);
			ub.insert(r);
		}
		vector<pair<int,int> > res(L);
		for(int i = 0; i < L; i++){
			for(auto [l, r] : rem[i]){
				ub.erase(ub.find(r));
				lb.erase(lb.find(l));
			}
			{
				int l = *lb.rbegin();
				int r = *ub.begin();
				if(l <= r && i >= l_bounds.first && i <= l_bounds.second){
					res[i] = {l, r};
				} else {
					res[i] = {-1, -1};
				}
			}
			for(auto [l, r] : ins[i]){
				ub.insert(r);
				lb.insert(l);
			}
		}
		return res;
	};

	int X = x_values.size();
	int Y = y_values.size();
	vector<pair<int,int> > x_map = generate_map(x_constraints, X, sides[1], sides[3]);
	vector<pair<int,int> > y_map = generate_map(y_constraints, Y, sides[0], sides[2]);
	int max_y_min = -1;
	for(int i = 0; i < Y; i++){
		if(y_map[i].first != -1){
			max_y_min = max(max_y_min, min(i, y_map[i].first));
		}
	}
	vector<int> y0_x3_max(Y);
	int c3 = 0;
	for(int y = 0; y < Y; y++){
		while(c3 < constraints[(1 << 0) ^ (1 << 3)].size() && constraints[(1 << 0) ^ (1 << 3)][c3][1] <= y){
			c3++;
		}
		y0_x3_max[y] = (c3 == constraints[(1 << 0) ^ (1 << 3)].size() ? bounds[2] : constraints[(1 << 0) ^ (1 << 3)][c3][2]);
	}
	vector<int> y2_x3_min(Y);
	c3 = 0;
	for(int y = 0; y < Y; y++){
		while(c3 < constraints[(1 << 2) ^ (1 << 3)].size() && constraints[(1 << 2) ^ (1 << 3)][c3][1] <= y){
			c3++;
		}
		y2_x3_min[y] = (c3 == constraints[(1 << 2) ^ (1 << 3)].size() ? bounds[0] : constraints[(1 << 2) ^ (1 << 3)][c3][0]);
	}

	int c0 = 0;
	int c2 = (int)constraints[(1 << 2) ^ (1 << 1)].size();
	vector<pair<int,int> > ans;
	for(int x = 0; x < X; x++){
		while(c0 < constraints[(1 << 0) ^ (1 << 1)].size() && constraints[(1 << 0) ^ (1 << 1)][c0][2] < x){
			c0++;
		}
		int y0max = (c0 == 0 ? bounds[3] : constraints[(1 << 0) ^ (1 << 1)][c0-1][3]);
		while(c2 > 0 && constraints[(1 << 2) ^ (1 << 1)][c2-1][0] <= x){
			c2--;
		}
		int y2max = (c2 == 0 ? bounds[3] : constraints[(1 << 2) ^ (1 << 1)][c2-1][3]);
		vector<pair<int,int> > y_pairs;
		{
			int y0 = min(y0max, max_y_min);
			int y2 = min(y2max, y_map[y0].second);
			if(y_map[y0].first != -1 && y2 >= y0) y_pairs.push_back({y0, y2});
		}
		{
			int y2 = min(y2max, max_y_min);
			int y0 = min(y0max, y_map[y2].second);
			if(y_map[y2].first != -1 && y0 >= y2) y_pairs.push_back({y0, y2});
		}
		for(auto [y0, y2] : y_pairs){
			int xl = x_map[x].first;
			int xr = x_map[x].second;
			if(xl == -1) continue;
			assert(x >= sides[1].first && x <= sides[1].second);
			xl = max(xl, y2_x3_min[y2]);
			xr = min(xr, y0_x3_max[y0]);
			if(xl <= xr){
				ans = {{x, bounds[1]}, {xl, bounds[3]}, {bounds[0], y0}, {bounds[2], y2}};
			}
		}
	}
	if(ans.empty()){
		assert(false);
	}
	for(int m1 = 0; m1 < (1 << 4); m1++){
		for(auto cons : constraints[m1]){
			bool found = false;
			for(auto [x, y] : ans){
				if(cons[0] <= x && x <= cons[2] && cons[1] <= y && y <= cons[3]){
					found = true;
				}
			}
			if(m1 == 1 && !found) assert(false);
		}
	}
	for(auto [x, y] : ans){
		cout << x_values[x] << ' ' << y_values[y] << '\n';
	}
}

Compilation message

hamburg.cpp: In function 'int main()':
hamburg.cpp:210:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  210 |   while(c3 < constraints[(1 << 0) ^ (1 << 3)].size() && constraints[(1 << 0) ^ (1 << 3)][c3][1] <= y){
      |         ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
hamburg.cpp:213:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  213 |   y0_x3_max[y] = (c3 == constraints[(1 << 0) ^ (1 << 3)].size() ? bounds[2] : constraints[(1 << 0) ^ (1 << 3)][c3][2]);
      |                   ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
hamburg.cpp:218:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  218 |   while(c3 < constraints[(1 << 2) ^ (1 << 3)].size() && constraints[(1 << 2) ^ (1 << 3)][c3][1] <= y){
      |         ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
hamburg.cpp:221:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  221 |   y2_x3_min[y] = (c3 == constraints[(1 << 2) ^ (1 << 3)].size() ? bounds[0] : constraints[(1 << 2) ^ (1 << 3)][c3][0]);
      |                   ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
hamburg.cpp:228:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  228 |   while(c0 < constraints[(1 << 0) ^ (1 << 1)].size() && constraints[(1 << 0) ^ (1 << 1)][c0][2] < x){
      |         ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 2 ms 600 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct

Subtask #2
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 2 ms 868 KB Output is correct

Subtask #3
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 856 KB Output is correct
2 Correct 2 ms 600 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 5 ms 1116 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 3 ms 1116 KB Output is correct
11 Correct 3 ms 1108 KB Output is correct
12 Correct 2 ms 860 KB Output is correct

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 856 KB Output is correct
4 Correct 2 ms 564 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 15 ms 1372 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 9 ms 1296 KB Output is correct
11 Correct 14 ms 1440 KB Output is correct
12 Correct 5 ms 1116 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Runtime error 15 ms 2396 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -

Subtask #5
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 2 ms 600 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 194 ms 25444 KB Output is correct
6 Correct 198 ms 25444 KB Output is correct
7 Correct 193 ms 25260 KB Output is correct
8 Correct 190 ms 25440 KB Output is correct

Subtask #6
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 2 ms 868 KB Output is correct
5 Correct 206 ms 36244 KB Output is correct
6 Correct 227 ms 49952 KB Output is correct
7 Correct 199 ms 34908 KB Output is correct
8 Correct 241 ms 59484 KB Output is correct

Subtask #7
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 856 KB Output is correct
2 Correct 2 ms 600 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 5 ms 1116 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 3 ms 1116 KB Output is correct
11 Correct 3 ms 1108 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 209 ms 42152 KB Output is correct
14 Correct 218 ms 41828 KB Output is correct
15 Correct 209 ms 44200 KB Output is correct
16 Correct 218 ms 35900 KB Output is correct
17 Correct 205 ms 39516 KB Output is correct
18 Correct 203 ms 33204 KB Output is correct
19 Correct 204 ms 43356 KB Output is correct
20 Correct 649 ms 80992 KB Output is correct
21 Correct 220 ms 52064 KB Output is correct
22 Correct 337 ms 81764 KB Output is correct
23 Correct 445 ms 78684 KB Output is correct
24 Correct 371 ms 76820 KB Output is correct

Subtask #8
0 / 79.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 856 KB Output is correct
4 Correct 2 ms 564 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 15 ms 1372 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 9 ms 1296 KB Output is correct
11 Correct 14 ms 1440 KB Output is correct
12 Correct 5 ms 1116 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Runtime error 15 ms 2396 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -