oj.uz

Submission #227319

# Submission time Handle Problem Language Result Execution time Memory
227319 2020-04-26T22:21:51 Z abeker Matching (COCI20_matching) C++17
110 / 110
 967 ms 104332 KB 
#include <bits/stdc++.h>
using namespace std;

typedef pair <int, int> pii;

const int MAXN = 1e5 + 5;
const int offset = 1 << 17;

struct Segment {
	int x1, y1, x2, y2;
};

class Tournament {
	set <pii> S[2 * offset];
public:
	void update(int x, int lo, int hi, int from, int to, pii p) {
		if (lo >= to || hi <= from)
			return;
		if (lo >= from && hi <= to) {
			S[x].insert(p);
			return;
		}
		int mid = (lo + hi) / 2;
		update(2 * x, lo, mid, from, to, p);
		update(2 * x + 1, mid, hi, from, to, p);
	}
	vector <int> query(int x, int from, int to) {
		vector <int> res;
		for (x += offset; x; x /= 2)
			while (1) {
				auto it = S[x].lower_bound({from, 0});
				if (it == S[x].end() || it->first > to)
					break;
				res.push_back(it->second);
				S[x].erase(it);
			}
		return res;
	}
};

int N;
int x[MAXN], y[MAXN];
vector <int> adj[MAXN];
vector <int> hor[MAXN], ver[MAXN];
vector <Segment> all;
vector <pii> edges;
Tournament Hor, Ver;
int clr[2 * MAXN];
queue <int> Q;

void load() {
	scanf("%d", &N);
	for (int i = 0; i < N; i++) {
		scanf("%d%d", x + i, y + i);
		ver[x[i]].push_back(i);
		hor[y[i]].push_back(i);
	}
}

void bye() {
	puts("NE");
	exit(0);
}

void process(const vector <int> &v, int c) {
	for (auto it : v) {
		if (clr[it] == -1)
			clr[it] = c;
		else if (clr[it] != c)
			bye();
		Q.push(it);
	}
}

void other(int pt, int seg) {
	if (adj[pt].size() == 1)
		bye();
	process({adj[pt][0] ^ adj[pt][1] ^ seg}, 1);
}

void horizontal(int id) {
	if (clr[id]) 
		process(Ver.query(all[id].y1, all[id].x1, all[id].x2), 0);
	else {
		other(edges[id].first, id);
		other(edges[id].second, id);
	}
}

void vertical(int id) {
	if (clr[id]) 
		process(Hor.query(all[id].x1, all[id].y1, all[id].y2), 0);
	else {
		other(edges[id].first, id);
		other(edges[id].second, id);
	}
}

inline bool is_hor(int id) {
	return all[id].y1 == all[id].y2;
}

void solve() {
	memset(clr, -1, sizeof clr);
	
	for (int i = 1; i < MAXN; i++) {
		if (hor[i].size() == 2) {
			int mn = MAXN, mx = 0;
			for (auto it : hor[i]) {
				adj[it].push_back(all.size());
				mn = min(mn, x[it]);
				mx = max(mx, x[it]);
			}
			Hor.update(1, 0, offset, mn, mx + 1, {i, all.size()});
			edges.push_back({hor[i][0], hor[i][1]});
			all.push_back({mn, i, mx, i});
		}
		if (ver[i].size() == 2) {
			int mn = MAXN, mx = 0;
			for (auto it : ver[i]) {
				adj[it].push_back(all.size());
				mn = min(mn, y[it]);
				mx = max(mx, y[it]);
			}
			Ver.update(1, 0, offset, mn, mx + 1, {i, all.size()});
			edges.push_back({ver[i][0], ver[i][1]});
			all.push_back({i, mn, i, mx});
		}
	}
	
	for (int i = 0; i < N; i++)
		if (adj[i].empty())
			bye();
		else if (adj[i].size() == 1) {
			clr[adj[i][0]] = 1;
			Q.push(adj[i][0]);
		}
	
	while (!Q.empty()) {
		int curr = Q.front();
		Q.pop();
		if (is_hor(curr))
			horizontal(curr);
		else
			vertical(curr);
	}
	
	puts("DA");
	for (int i = 0; i < all.size(); i++) {
		if (clr[i] == -1)
			clr[i] = is_hor(i);
		if (clr[i])
			printf("%d %d\n", ++edges[i].first, ++edges[i].second); 
	}
}

int main() {
	load();
	solve();
	return 0;
}

Compilation message

matching.cpp: In function 'void solve()':
matching.cpp:149:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < all.size(); i++) {
                  ~~^~~~~~~~~~~~
matching.cpp: In function 'void load()':
matching.cpp:52:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &N);
  ~~~~~^~~~~~~~~~
matching.cpp:54:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d", x + i, y + i);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 32768 KB Output is correct
2 Correct 23 ms 32768 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 32768 KB Output is correct
2 Correct 23 ms 32768 KB Output is correct
3 Correct 26 ms 32768 KB Output is correct
4 Correct 25 ms 32768 KB Output is correct
5 Correct 25 ms 32768 KB Output is correct
6 Correct 24 ms 32768 KB Output is correct
7 Correct 22 ms 32768 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 32768 KB Output is correct
2 Correct 23 ms 32768 KB Output is correct
3 Correct 26 ms 32768 KB Output is correct
4 Correct 25 ms 32768 KB Output is correct
5 Correct 25 ms 32768 KB Output is correct
6 Correct 24 ms 32768 KB Output is correct
7 Correct 22 ms 32768 KB Output is correct
8 Correct 21 ms 32896 KB Output is correct
9 Correct 22 ms 32768 KB Output is correct
10 Correct 23 ms 32768 KB Output is correct
11 Correct 22 ms 32896 KB Output is correct
12 Correct 22 ms 32852 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 32768 KB Output is correct
2 Correct 23 ms 32768 KB Output is correct
3 Correct 26 ms 32768 KB Output is correct
4 Correct 25 ms 32768 KB Output is correct
5 Correct 25 ms 32768 KB Output is correct
6 Correct 24 ms 32768 KB Output is correct
7 Correct 22 ms 32768 KB Output is correct
8 Correct 21 ms 32896 KB Output is correct
9 Correct 22 ms 32768 KB Output is correct
10 Correct 23 ms 32768 KB Output is correct
11 Correct 22 ms 32896 KB Output is correct
12 Correct 22 ms 32852 KB Output is correct
13 Correct 31 ms 33664 KB Output is correct
14 Correct 31 ms 33784 KB Output is correct
15 Correct 27 ms 33664 KB Output is correct
16 Correct 32 ms 33656 KB Output is correct
17 Correct 27 ms 33664 KB Output is correct
18 Correct 27 ms 33664 KB Output is correct
19 Correct 27 ms 33664 KB Output is correct
20 Correct 27 ms 33792 KB Output is correct
21 Correct 27 ms 33792 KB Output is correct
22 Correct 27 ms 33664 KB Output is correct
23 Correct 29 ms 33912 KB Output is correct
24 Correct 29 ms 33920 KB Output is correct

Subtask #5
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 32768 KB Output is correct
2 Correct 23 ms 32768 KB Output is correct
3 Correct 26 ms 32768 KB Output is correct
4 Correct 25 ms 32768 KB Output is correct
5 Correct 25 ms 32768 KB Output is correct
6 Correct 24 ms 32768 KB Output is correct
7 Correct 22 ms 32768 KB Output is correct
8 Correct 21 ms 32896 KB Output is correct
9 Correct 22 ms 32768 KB Output is correct
10 Correct 23 ms 32768 KB Output is correct
11 Correct 22 ms 32896 KB Output is correct
12 Correct 22 ms 32852 KB Output is correct
13 Correct 31 ms 33664 KB Output is correct
14 Correct 31 ms 33784 KB Output is correct
15 Correct 27 ms 33664 KB Output is correct
16 Correct 32 ms 33656 KB Output is correct
17 Correct 27 ms 33664 KB Output is correct
18 Correct 27 ms 33664 KB Output is correct
19 Correct 27 ms 33664 KB Output is correct
20 Correct 27 ms 33792 KB Output is correct
21 Correct 27 ms 33792 KB Output is correct
22 Correct 27 ms 33664 KB Output is correct
23 Correct 29 ms 33912 KB Output is correct
24 Correct 29 ms 33920 KB Output is correct
25 Correct 334 ms 66460 KB Output is correct
26 Correct 379 ms 66268 KB Output is correct
27 Correct 272 ms 66272 KB Output is correct
28 Correct 291 ms 66316 KB Output is correct
29 Correct 268 ms 65756 KB Output is correct
30 Correct 273 ms 65760 KB Output is correct
31 Correct 288 ms 66016 KB Output is correct
32 Correct 272 ms 65756 KB Output is correct
33 Correct 225 ms 62692 KB Output is correct
34 Correct 284 ms 62712 KB Output is correct
35 Correct 269 ms 62684 KB Output is correct
36 Correct 967 ms 104332 KB Output is correct
37 Correct 353 ms 73944 KB Output is correct
38 Correct 404 ms 73364 KB Output is correct