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답안 #1050373

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1050373 2024-08-09T08:59:03 Z ksun69(#11101) 함박 스테이크 (JOI20_hamburg) C++17
15 / 100
 655 ms 81864 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(m1 == 2 && !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 604 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 3 ms 604 KB Output is correct
4 Correct 1 ms 620 KB Output is correct

Subtask #2
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 600 KB Output is correct
2 Correct 2 ms 676 KB Output is correct
3 Correct 2 ms 600 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 3 ms 860 KB Output is correct
2 Correct 1 ms 816 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 604 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 5 ms 1116 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 5 ms 1116 KB Output is correct
11 Correct 3 ms 860 KB Output is correct
12 Correct 2 ms 856 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 2 ms 616 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 2 ms 604 KB Output is correct
5 Correct 2 ms 828 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 17 ms 1432 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 10 ms 1296 KB Output is correct
11 Correct 16 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 Incorrect 15 ms 1328 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 604 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 3 ms 604 KB Output is correct
4 Correct 1 ms 620 KB Output is correct
5 Correct 215 ms 25440 KB Output is correct
6 Correct 264 ms 25260 KB Output is correct
7 Correct 215 ms 25504 KB Output is correct
8 Correct 217 ms 25424 KB Output is correct

Subtask #6
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 600 KB Output is correct
2 Correct 2 ms 676 KB Output is correct
3 Correct 2 ms 600 KB Output is correct
4 Correct 2 ms 856 KB Output is correct
5 Correct 215 ms 36264 KB Output is correct
6 Correct 230 ms 50020 KB Output is correct
7 Correct 242 ms 35732 KB Output is correct
8 Correct 302 ms 59992 KB Output is correct

Subtask #7
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 860 KB Output is correct
2 Correct 1 ms 816 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 604 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 5 ms 1116 KB Output is correct
9 Correct 2 ms 860 KB Output is correct
10 Correct 5 ms 1116 KB Output is correct
11 Correct 3 ms 860 KB Output is correct
12 Correct 2 ms 856 KB Output is correct
13 Correct 207 ms 42076 KB Output is correct
14 Correct 253 ms 41800 KB Output is correct
15 Correct 246 ms 44132 KB Output is correct
16 Correct 199 ms 35476 KB Output is correct
17 Correct 202 ms 39516 KB Output is correct
18 Correct 230 ms 33364 KB Output is correct
19 Correct 244 ms 41636 KB Output is correct
20 Correct 655 ms 81808 KB Output is correct
21 Correct 248 ms 50836 KB Output is correct
22 Correct 335 ms 81864 KB Output is correct
23 Correct 466 ms 79956 KB Output is correct
24 Correct 388 ms 75608 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 2 ms 616 KB Output is correct
3 Correct 1 ms 860 KB Output is correct
4 Correct 2 ms 604 KB Output is correct
5 Correct 2 ms 828 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 17 ms 1432 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 10 ms 1296 KB Output is correct
11 Correct 16 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 Incorrect 15 ms 1328 KB Output isn't correct
15 Halted 0 ms 0 KB -