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답안 #1050387

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1050387 2024-08-09T09:01:27 Z ksun69(#11101) 함박 스테이크 (JOI20_hamburg) C++17
15 / 100
 613 ms 82532 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

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 1 ms 532 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 600 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 1 ms 560 KB Output is correct
4 Correct 2 ms 856 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 856 KB Output is correct
4 Correct 1 ms 600 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 2 ms 620 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 6 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 860 KB Output is correct
12 Correct 2 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 620 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 3 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 14 ms 1432 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 9 ms 1368 KB Output is correct
11 Correct 15 ms 1372 KB Output is correct
12 Correct 4 ms 1116 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Incorrect 13 ms 1116 KB Output isn't correct
15 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 532 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 191 ms 25444 KB Output is correct
6 Correct 193 ms 25444 KB Output is correct
7 Correct 195 ms 25500 KB Output is correct
8 Correct 191 ms 25444 KB Output is correct

Subtask #6
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 1 ms 560 KB Output is correct
4 Correct 2 ms 856 KB Output is correct
5 Correct 198 ms 36780 KB Output is correct
6 Correct 219 ms 50020 KB Output is correct
7 Correct 197 ms 35424 KB Output is correct
8 Correct 241 ms 60580 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 856 KB Output is correct
4 Correct 1 ms 600 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 2 ms 620 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 6 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 860 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 203 ms 42076 KB Output is correct
14 Correct 210 ms 41860 KB Output is correct
15 Correct 220 ms 44296 KB Output is correct
16 Correct 197 ms 35424 KB Output is correct
17 Correct 201 ms 39520 KB Output is correct
18 Correct 201 ms 33384 KB Output is correct
19 Correct 201 ms 42332 KB Output is correct
20 Correct 613 ms 82532 KB Output is correct
21 Correct 239 ms 52828 KB Output is correct
22 Correct 336 ms 82516 KB Output is correct
23 Correct 430 ms 81768 KB Output is correct
24 Correct 347 ms 74936 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 620 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 3 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 14 ms 1432 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 9 ms 1368 KB Output is correct
11 Correct 15 ms 1372 KB Output is correct
12 Correct 4 ms 1116 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Incorrect 13 ms 1116 KB Output isn't correct
15 Halted 0 ms 0 KB -