oj.uz

Submission #837906

# Submission time Handle Problem Language Result Execution time Memory
837906 2023-08-25T19:53:21 Z mathematik Connecting Supertrees (IOI20_supertrees) C++17
56 / 100
 184 ms 22148 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 != 0 || o != 0) 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++)
      |                    ~~^~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 6 ms 1108 KB Output is correct
7 Correct 150 ms 22036 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 6 ms 1108 KB Output is correct
7 Correct 150 ms 22036 KB Output is correct
8 Correct 1 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 146 ms 21964 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 74 ms 12176 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 146 ms 22020 KB Output is correct
22 Correct 145 ms 21964 KB Output is correct
23 Correct 154 ms 22060 KB Output is correct
24 Correct 161 ms 21964 KB Output is correct
25 Correct 60 ms 12160 KB Output is correct
26 Correct 76 ms 12180 KB Output is correct
27 Correct 160 ms 22008 KB Output is correct
28 Correct 184 ms 22044 KB Output is correct

Subtask #3
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 260 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Incorrect 1 ms 212 KB Answer gives possible 1 while actual possible 0
5 Halted 0 ms 0 KB -

Subtask #4
35.0 / 35.0

# 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 1 ms 212 KB Output is correct
4 Correct 37 ms 5724 KB Output is correct
5 Correct 144 ms 21964 KB Output is correct
6 Correct 148 ms 22036 KB Output is correct
7 Correct 151 ms 22148 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 46 ms 5736 KB Output is correct
10 Correct 146 ms 22100 KB Output is correct
11 Correct 153 ms 22076 KB Output is correct
12 Correct 156 ms 22020 KB Output is correct
13 Correct 1 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 37 ms 5756 KB Output is correct
17 Correct 148 ms 22024 KB Output is correct
18 Correct 151 ms 22024 KB Output is correct
19 Correct 154 ms 22080 KB Output is correct
20 Correct 143 ms 22036 KB Output is correct

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 6 ms 1108 KB Output is correct
7 Correct 150 ms 22036 KB Output is correct
8 Correct 1 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 146 ms 21964 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 74 ms 12176 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 146 ms 22020 KB Output is correct
22 Correct 145 ms 21964 KB Output is correct
23 Correct 154 ms 22060 KB Output is correct
24 Correct 161 ms 21964 KB Output is correct
25 Correct 60 ms 12160 KB Output is correct
26 Correct 76 ms 12180 KB Output is correct
27 Correct 160 ms 22008 KB Output is correct
28 Correct 184 ms 22044 KB Output is correct
29 Correct 1 ms 260 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Incorrect 1 ms 212 KB Answer gives possible 1 while actual possible 0
33 Halted 0 ms 0 KB -

Subtask #6
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 6 ms 1108 KB Output is correct
7 Correct 150 ms 22036 KB Output is correct
8 Correct 1 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 146 ms 21964 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 74 ms 12176 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 146 ms 22020 KB Output is correct
22 Correct 145 ms 21964 KB Output is correct
23 Correct 154 ms 22060 KB Output is correct
24 Correct 161 ms 21964 KB Output is correct
25 Correct 60 ms 12160 KB Output is correct
26 Correct 76 ms 12180 KB Output is correct
27 Correct 160 ms 22008 KB Output is correct
28 Correct 184 ms 22044 KB Output is correct
29 Correct 1 ms 260 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Incorrect 1 ms 212 KB Answer gives possible 1 while actual possible 0
33 Halted 0 ms 0 KB -