oj.uz

Submission #1050385

# Submission time Handle Problem Language Result Execution time Memory
1050385 2024-08-09T09:00:33 Z ksun69(#11101) Hamburg Steak (JOI20_hamburg) C++17
15 / 100
 617 ms 81756 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]);
	assert(bounds[0] < bounds[2] && bounds[1] < bounds[3]);
	for(int i = 0; i < N; i++){
		S[i][0] = max(S[i][0], bounds[0]);
		S[i][1] = max(S[i][1], bounds[1]);
		S[i][2] = min(S[i][2], bounds[2]);
		S[i][3] = min(S[i][3], bounds[3]);
	}
	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]);
	vector<pair<int,int> > y_map_flip = generate_map(y_constraints, Y, sides[2], sides[0]);
	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));
		}
		if(y_map_flip[i].first != -1){
			max_y_min = max(max_y_min, min(i, y_map_flip[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_flip[y2].second);
			if(y_map_flip[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(y0 >= sides[0].first && y0 <= sides[0].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(!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 556 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 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 1 ms 604 KB Output is correct
4 Correct 2 ms 860 KB Output is correct

Subtask #3
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 ms 876 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 2 ms 856 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 6 ms 1112 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 860 KB Output is correct
12 Correct 3 ms 860 KB Output is correct

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 856 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 14 ms 1420 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 9 ms 1328 KB Output is correct
11 Correct 14 ms 1444 KB Output is correct
12 Correct 5 ms 1112 KB Output is correct
13 Correct 2 ms 824 KB Output is correct
14 Incorrect 13 ms 1356 KB Output isn't correct
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 556 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 604 KB Output is correct
5 Correct 194 ms 25448 KB Output is correct
6 Correct 217 ms 25448 KB Output is correct
7 Correct 193 ms 25420 KB Output is correct
8 Correct 191 ms 25448 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 1 ms 604 KB Output is correct
4 Correct 2 ms 860 KB Output is correct
5 Correct 214 ms 36192 KB Output is correct
6 Correct 228 ms 50272 KB Output is correct
7 Correct 198 ms 34980 KB Output is correct
8 Correct 242 ms 59976 KB Output is correct

Subtask #7
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 ms 876 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 2 ms 856 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 6 ms 1112 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 860 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 205 ms 42596 KB Output is correct
14 Correct 210 ms 41632 KB Output is correct
15 Correct 207 ms 44128 KB Output is correct
16 Correct 197 ms 35492 KB Output is correct
17 Correct 201 ms 39772 KB Output is correct
18 Correct 196 ms 33384 KB Output is correct
19 Correct 201 ms 42904 KB Output is correct
20 Correct 617 ms 81756 KB Output is correct
21 Correct 221 ms 51096 KB Output is correct
22 Correct 332 ms 81044 KB Output is correct
23 Correct 430 ms 80476 KB Output is correct
24 Correct 354 ms 74632 KB Output is correct

Subtask #8
0 / 79.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 856 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 14 ms 1420 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 9 ms 1328 KB Output is correct
11 Correct 14 ms 1444 KB Output is correct
12 Correct 5 ms 1112 KB Output is correct
13 Correct 2 ms 824 KB Output is correct
14 Incorrect 13 ms 1356 KB Output isn't correct
15 Halted 0 ms 0 KB -