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답안 #1050415

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1050415 2024-08-09T09:16:20 Z ksun69(#11101) 함박 스테이크 (JOI20_hamburg) C++17
15 / 100
 622 ms 82588 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].empty());
	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_containing_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){
			if(!stk.empty() && stk.back()[0] >= v[0] && stk.back()[1] >= v[1] && stk.back()[2] <= v[2] && stk.back()[3] <= v[3]){
				continue;
			}
			stk.push_back(v);
		}
		rectangles = stk;
	};
	for(int msk = 0; msk < (1 << 4); msk++){
		remove_containing_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> r_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(r_bounds.second);
		lb.insert(r_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 < 16; 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 cons : S){
		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) {
			cerr << cons[0] << ' ' << cons[1] << ' ' << cons[2] << ' ' << cons[3] << '\n';
			cerr << "bad ? " << '\n';
			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

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 1 ms 604 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

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 2 ms 876 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 3 ms 872 KB Output is correct

Subtask #3
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 856 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 5 ms 1188 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 3 ms 1132 KB Output is correct
11 Correct 3 ms 856 KB Output is correct
12 Correct 3 ms 860 KB Output is correct

Subtask #4
0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 15 ms 1436 KB Output is correct
9 Correct 3 ms 856 KB Output is correct
10 Correct 10 ms 1320 KB Output is correct
11 Correct 15 ms 1368 KB Output is correct
12 Correct 4 ms 1116 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 13 ms 1136 KB Output is correct
15 Correct 2 ms 860 KB Output is correct
16 Correct 4 ms 860 KB Output is correct
17 Correct 16 ms 1372 KB Output is correct
18 Correct 5 ms 1116 KB Output is correct
19 Correct 2 ms 1116 KB Output is correct
20 Correct 26 ms 1440 KB Output is correct
21 Correct 3 ms 1116 KB Output is correct
22 Correct 10 ms 1412 KB Output is correct
23 Correct 25 ms 1436 KB Output is correct
24 Correct 9 ms 1372 KB Output is correct
25 Correct 16 ms 1388 KB Output is correct
26 Correct 12 ms 1372 KB Output is correct
27 Correct 16 ms 1368 KB Output is correct
28 Correct 11 ms 1372 KB Output is correct
29 Correct 14 ms 1116 KB Output is correct
30 Correct 7 ms 1372 KB Output is correct
31 Correct 15 ms 1320 KB Output is correct
32 Runtime error 12 ms 2140 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -

Subtask #5
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 193 ms 25444 KB Output is correct
6 Correct 225 ms 25444 KB Output is correct
7 Correct 197 ms 25448 KB Output is correct
8 Correct 201 ms 25448 KB Output is correct

Subtask #6
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 2 ms 876 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 3 ms 872 KB Output is correct
5 Correct 197 ms 36456 KB Output is correct
6 Correct 229 ms 50272 KB Output is correct
7 Correct 246 ms 35228 KB Output is correct
8 Correct 243 ms 59296 KB Output is correct

Subtask #7
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 2 ms 860 KB Output is correct
4 Correct 2 ms 856 KB Output is correct
5 Correct 2 ms 604 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 5 ms 1188 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 3 ms 1132 KB Output is correct
11 Correct 3 ms 856 KB Output is correct
12 Correct 3 ms 860 KB Output is correct
13 Correct 228 ms 42064 KB Output is correct
14 Correct 251 ms 41636 KB Output is correct
15 Correct 205 ms 44108 KB Output is correct
16 Correct 199 ms 36700 KB Output is correct
17 Correct 201 ms 39520 KB Output is correct
18 Correct 197 ms 33180 KB Output is correct
19 Correct 242 ms 42072 KB Output is correct
20 Correct 622 ms 82588 KB Output is correct
21 Correct 271 ms 51016 KB Output is correct
22 Correct 337 ms 80992 KB Output is correct
23 Correct 487 ms 79952 KB Output is correct
24 Correct 374 ms 74656 KB Output is correct

Subtask #8
0 / 79.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 15 ms 1436 KB Output is correct
9 Correct 3 ms 856 KB Output is correct
10 Correct 10 ms 1320 KB Output is correct
11 Correct 15 ms 1368 KB Output is correct
12 Correct 4 ms 1116 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 13 ms 1136 KB Output is correct
15 Correct 2 ms 860 KB Output is correct
16 Correct 4 ms 860 KB Output is correct
17 Correct 16 ms 1372 KB Output is correct
18 Correct 5 ms 1116 KB Output is correct
19 Correct 2 ms 1116 KB Output is correct
20 Correct 26 ms 1440 KB Output is correct
21 Correct 3 ms 1116 KB Output is correct
22 Correct 10 ms 1412 KB Output is correct
23 Correct 25 ms 1436 KB Output is correct
24 Correct 9 ms 1372 KB Output is correct
25 Correct 16 ms 1388 KB Output is correct
26 Correct 12 ms 1372 KB Output is correct
27 Correct 16 ms 1368 KB Output is correct
28 Correct 11 ms 1372 KB Output is correct
29 Correct 14 ms 1116 KB Output is correct
30 Correct 7 ms 1372 KB Output is correct
31 Correct 15 ms 1320 KB Output is correct
32 Runtime error 12 ms 2140 KB Execution killed with signal 6
33 Halted 0 ms 0 KB -