Submission #837903

# Submission time Handle Problem Language Result Execution time Memory
837903 2023-08-25T19:49:29 Z mathematik Connecting Supertrees (IOI20_supertrees) C++17
56 / 100
164 ms 22040 KB
#include "supertrees.h"
#include <bits/stdc++.h>

using namespace std;

struct setunion{
	int N;
	vector<int> p, s;

	setunion(int n) {
		N = n;
		p = vector<int>(N, -1);
		s = vector<int>(N, 1);
	}

	int root(int n) {
		int i = n;
		while (p[i] != -1)
			i = p[i];
		return i;
	}

	void combine(int a, int b) {
		int ra = root(a), rb = root(b);

		if (ra == rb) return;

		if (s[ra] < s[rb]) swap(ra, rb);

		s[ra] += s[rb];
		p[rb] = ra;
	}

	vector<vector<int>> extract() {
		vector<vector<int>> erg(N), rem;
		for (int i = 0; i < N; i++)
		{
			erg[root(i)].push_back(i);
		}
		for (vector<int> e: erg)
			if (e.size())
				rem.push_back(e);
		return rem;
	}
};

int construct(vector<vector<int>> p) {
	int N = p.size();

	int c = 0, o = 0;

	setunion zsm(N);
	for (int i = 0; i < N; i++)
	{
		for (int j = 0; j < N; j++)
		{
			if (p[i][j] == 3) return 0;
			if (p[i][j]) zsm.combine(i, j);
			if (p[i][j] == 1 || i == j) o++;
			if (p[i][j] || i == j) c++;
		}
	}
	
	vector<vector<int>> graph = vector<vector<int>>(N, vector<int>(N));
	for (vector<int> z: zsm.extract()) {
		c -= z.size() * z.size();

		setunion one(z.size());
		for (int i = 0; i < z.size(); ++i)
		{
			for (int j = 0; j < z.size(); ++j)
			{
				if (p[z[i]][z[j]] == 1)
					one.combine(i, j);
			}
		}
		
		vector<vector<int>> g = one.extract();

		for (int i = 0; i < g.size(); i++)
		{
			graph[z[g[i][0]]][z[g[(i + 1) % g.size()][0]]] = true;
			graph[z[g[(i + 1) % g.size()][0]]][z[g[i][0]]] = true;
		}
		
		for (int i = 0; i < g.size(); i++)
		{
			o -= g[i].size() * g[i].size();
			for (int j = 1; j < g[i].size(); j++)
			{
				graph[z[g[i][0]]][z[g[i][j]]] = true;
				graph[z[g[i][j]]][z[g[i][0]]] = true;
			}

			for (int j: g[i])
				for (int k: g[i])
					if (p[z[j]][z[k]] != 1)
						return 0;	
		}
	}

	for (int i = 0; i < N; i++)
		graph[i][i] = false;

	if (c || o) return 0;

	build(graph);

	return 1;
}

Compilation message

supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:69:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |   for (int i = 0; i < z.size(); ++i)
      |                   ~~^~~~~~~~~~
supertrees.cpp:71:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |    for (int j = 0; j < z.size(); ++j)
      |                    ~~^~~~~~~~~~
supertrees.cpp:80:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |   for (int i = 0; i < g.size(); i++)
      |                   ~~^~~~~~~~~~
supertrees.cpp:86:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |   for (int i = 0; i < g.size(); i++)
      |                   ~~^~~~~~~~~~
supertrees.cpp:89:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |    for (int j = 1; j < g[i].size(); j++)
      |                    ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 149 ms 22032 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 149 ms 22032 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 6 ms 1108 KB Output is correct
13 Correct 151 ms 22024 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 83 ms 12180 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 37 ms 5708 KB Output is correct
21 Correct 159 ms 22028 KB Output is correct
22 Correct 157 ms 22024 KB Output is correct
23 Correct 152 ms 21964 KB Output is correct
24 Correct 148 ms 22040 KB Output is correct
25 Correct 60 ms 12160 KB Output is correct
26 Correct 59 ms 12096 KB Output is correct
27 Correct 156 ms 21992 KB Output is correct
28 Correct 150 ms 22028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Incorrect 0 ms 212 KB Answer gives possible 1 while actual possible 0
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 40 ms 5732 KB Output is correct
5 Correct 151 ms 22032 KB Output is correct
6 Correct 146 ms 21964 KB Output is correct
7 Correct 155 ms 22020 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 44 ms 5664 KB Output is correct
10 Correct 151 ms 22008 KB Output is correct
11 Correct 164 ms 22028 KB Output is correct
12 Correct 155 ms 22020 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 38 ms 5764 KB Output is correct
17 Correct 145 ms 22036 KB Output is correct
18 Correct 150 ms 22020 KB Output is correct
19 Correct 146 ms 22028 KB Output is correct
20 Correct 148 ms 21984 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 149 ms 22032 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 6 ms 1108 KB Output is correct
13 Correct 151 ms 22024 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 83 ms 12180 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 37 ms 5708 KB Output is correct
21 Correct 159 ms 22028 KB Output is correct
22 Correct 157 ms 22024 KB Output is correct
23 Correct 152 ms 21964 KB Output is correct
24 Correct 148 ms 22040 KB Output is correct
25 Correct 60 ms 12160 KB Output is correct
26 Correct 59 ms 12096 KB Output is correct
27 Correct 156 ms 21992 KB Output is correct
28 Correct 150 ms 22028 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Incorrect 0 ms 212 KB Answer gives possible 1 while actual possible 0
33 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 149 ms 22032 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 6 ms 1108 KB Output is correct
13 Correct 151 ms 22024 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 83 ms 12180 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 37 ms 5708 KB Output is correct
21 Correct 159 ms 22028 KB Output is correct
22 Correct 157 ms 22024 KB Output is correct
23 Correct 152 ms 21964 KB Output is correct
24 Correct 148 ms 22040 KB Output is correct
25 Correct 60 ms 12160 KB Output is correct
26 Correct 59 ms 12096 KB Output is correct
27 Correct 156 ms 21992 KB Output is correct
28 Correct 150 ms 22028 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Incorrect 0 ms 212 KB Answer gives possible 1 while actual possible 0
33 Halted 0 ms 0 KB -