oj.uz

Submission #779211

# Submission time Handle Problem Language Result Execution time Memory
779211 2023-07-11T09:03:13 Z Elias Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 216 ms 22276 KB 
#ifndef _DEBUG
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif

#include <bits/stdc++.h>

using namespace std;

#ifdef _DEBUG
int construct(std::vector<std::vector<int>> p);
void build(std::vector<std::vector<int>> b);
#endif

#ifndef _DEBUG
#include <supertrees.h>
#endif

int construct(std::vector<std::vector<int>> p)
{
	int n = p.size();
	std::vector<std::vector<int>> answer(n, vector<int>(n));

	vector<int> all(n);
	for (int i = 0; i < n; i++)
		all[i] = i;

	auto split = [&](vector<int> a, int splitter)
	{
		int n = a.size();

		vector<set<int>> components;
		map<int, int> componentId;
		for (int i = 0; i < n; i++)
		{
			components.push_back({a[i]});
			componentId[a[i]] = i;
		}

		auto merge = [&](int a, int b)
		{
			a = componentId[a];
			b = componentId[b];

			assert(components[a].size() && components[b].size());

			if (a == b)
				return;

			if (components[a].size() < components[b].size())
				swap(a, b);

			for (auto x : components[b])
			{
				components[a].insert(x);
				componentId[x] = a;
			}

			components[b].clear();
		};

		for (int i = 0; i < n; i++)
			for (int j = i + 1; j < n; j++)
			{
				if (p[a[i]][a[j]] != splitter)
					merge(a[i], a[j]);
			}

		for (int i = 0; i < n; i++)
			for (int j = i + 1; j < n; j++)
			{
				if (p[a[i]][a[j]] == splitter && componentId[a[i]] == componentId[a[j]])
					return vector<set<int>>{};
			}

		components.erase(remove_if(components.begin(), components.end(), [](const set<int> &x)
								   { return x.size() == 0; }),
						 components.end());

		return components;
	};

	auto components = split(all, 0);

	if (components.size() == 0)
		return 0;

	for (auto component : components)
	{
		if (component.size() == 0)
			continue;

		vector<int> all_in_comp(component.begin(), component.end());

		set<int> values;

		for (int x : component)
			for (int y : component)
			{
				values.insert(p[x][y]);
			}

		if (values.count(3))
			return 0;

		bool threes = values.count(3);

		auto sub_components = split(all_in_comp, threes ? 3 : 2);

		if (sub_components.size() == 0 || sub_components.size() == 2 || (threes && sub_components.size() == 3))
			return 0;

		int prev_root = -1;
		int first_root = -1;
		int second_root = -1;
		for (auto sub_component : sub_components)
		{
			if (sub_component.size() == 0)
				continue;

			int prev = -1;
			for (auto x : sub_component)
			{
				if (prev != -1)
					answer[x][prev] = answer[prev][x] = 1;
				prev = x;
			}
			int x = *sub_component.begin();
			if (prev_root != -1)
				answer[x][prev_root] = answer[prev_root][x] = 1;
			else
				first_root = x;

			if (first_root != -1 && second_root == -1)
				second_root = x;

			prev_root = x;
		}
		if (first_root != -1 && first_root != prev_root)
			answer[first_root][prev_root] = answer[prev_root][first_root] = 1;

		if (prev_root != -1 && second_root != -1 && prev_root != second_root)
			answer[second_root][prev_root] = answer[prev_root][second_root] = 1;
	}

	build(answer);
	return 1;
}

#ifdef _DEBUG

#include <vector>
#include <cassert>
#include <cstdio>
#include <cstdlib>
#include <string>

static int n;
static std::vector<std::vector<int>> p;
static std::vector<std::vector<int>> b;
static bool called = false;

static void check(bool cond, std::string message)
{
	if (!cond)
	{
		printf("%s\n", message.c_str());
		fclose(stdout);
		exit(0);
	}
}

void build(std::vector<std::vector<int>> _b)
{
	check(!called, "build is called more than once");
	called = true;
	check((int)_b.size() == n, "Invalid number of rows in b");
	for (int i = 0; i < n; i++)
	{
		check((int)_b[i].size() == n, "Invalid number of columns in b");
	}
	b = _b;
}

int main()
{
	// freopen("3-21.in", "r", stdin);

	assert(scanf("%d", &n) == 1);

	p.resize(n);
	for (int i = 0; i < n; i++)
	{
		p[i].resize(n);
	}

	for (int i = 0; i < n; i++)
	{
		for (int j = 0; j < n; j++)
		{
			assert(scanf("%d", &p[i][j]) == 1);
		}
	}
	fclose(stdin);

	int possible = construct(p);

	check(possible == 0 || possible == 1, "Invalid return value of construct");
	if (possible == 1)
	{
		check(called, "construct returned 1 without calling build");
	}
	else
	{
		check(!called, "construct called build but returned 0");
	}

	printf("%d\n", possible);
	if (possible == 1)
	{
		for (int i = 0; i < n; i++)
		{
			for (int j = 0; j < n; j++)
			{
				if (j)
				{
					printf(" ");
				}
				printf("%d", b[i][j]);
			}
			printf("\n");
		}
	}
	fclose(stdout);
}

#endif

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 9 ms 1236 KB Output is correct
7 Correct 211 ms 22148 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 9 ms 1236 KB Output is correct
7 Correct 211 ms 22148 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 9 ms 1172 KB Output is correct
13 Correct 176 ms 22156 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 102 ms 12288 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 45 ms 5824 KB Output is correct
21 Correct 181 ms 22160 KB Output is correct
22 Correct 209 ms 22160 KB Output is correct
23 Correct 195 ms 22160 KB Output is correct
24 Correct 175 ms 22152 KB Output is correct
25 Correct 71 ms 12284 KB Output is correct
26 Correct 66 ms 12172 KB Output is correct
27 Correct 202 ms 22276 KB Output is correct
28 Correct 173 ms 22160 KB Output is correct

Subtask #3
19.0 / 19.0

# 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 1 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 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 9 ms 1108 KB Output is correct
9 Correct 174 ms 22156 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 8 ms 1108 KB Output is correct
13 Correct 205 ms 22156 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 83 ms 12168 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 44 ms 5724 KB Output is correct
22 Correct 188 ms 22216 KB Output is correct
23 Correct 172 ms 22192 KB Output is correct
24 Correct 216 ms 22128 KB Output is correct
25 Correct 91 ms 12168 KB Output is correct
26 Correct 69 ms 12288 KB Output is correct
27 Correct 173 ms 22112 KB Output is correct
28 Correct 206 ms 22132 KB Output is correct
29 Correct 91 ms 12164 KB Output is correct

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 43 ms 5764 KB Output is correct
5 Correct 185 ms 22212 KB Output is correct
6 Correct 181 ms 22148 KB Output is correct
7 Correct 199 ms 22156 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 44 ms 5768 KB Output is correct
10 Correct 182 ms 22104 KB Output is correct
11 Correct 185 ms 22152 KB Output is correct
12 Correct 200 ms 22144 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 46 ms 5836 KB Output is correct
17 Correct 181 ms 22144 KB Output is correct
18 Correct 181 ms 22092 KB Output is correct
19 Correct 179 ms 22136 KB Output is correct
20 Correct 178 ms 22148 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 9 ms 1236 KB Output is correct
7 Correct 211 ms 22148 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 9 ms 1172 KB Output is correct
13 Correct 176 ms 22156 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 102 ms 12288 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 45 ms 5824 KB Output is correct
21 Correct 181 ms 22160 KB Output is correct
22 Correct 209 ms 22160 KB Output is correct
23 Correct 195 ms 22160 KB Output is correct
24 Correct 175 ms 22152 KB Output is correct
25 Correct 71 ms 12284 KB Output is correct
26 Correct 66 ms 12172 KB Output is correct
27 Correct 202 ms 22276 KB Output is correct
28 Correct 173 ms 22160 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 9 ms 1108 KB Output is correct
37 Correct 174 ms 22156 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 8 ms 1108 KB Output is correct
41 Correct 205 ms 22156 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 4 ms 724 KB Output is correct
45 Correct 83 ms 12168 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 44 ms 5724 KB Output is correct
50 Correct 188 ms 22216 KB Output is correct
51 Correct 172 ms 22192 KB Output is correct
52 Correct 216 ms 22128 KB Output is correct
53 Correct 91 ms 12168 KB Output is correct
54 Correct 69 ms 12288 KB Output is correct
55 Correct 173 ms 22112 KB Output is correct
56 Correct 206 ms 22132 KB Output is correct
57 Correct 91 ms 12164 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 5 ms 756 KB Output is correct
61 Correct 83 ms 12280 KB Output is correct
62 Correct 0 ms 212 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 0 ms 212 KB Output is correct
65 Correct 45 ms 5836 KB Output is correct
66 Correct 68 ms 12236 KB Output is correct
67 Correct 79 ms 12236 KB Output is correct
68 Correct 71 ms 12172 KB Output is correct
69 Correct 90 ms 12172 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 9 ms 1236 KB Output is correct
7 Correct 211 ms 22148 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 9 ms 1172 KB Output is correct
13 Correct 176 ms 22156 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 102 ms 12288 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 45 ms 5824 KB Output is correct
21 Correct 181 ms 22160 KB Output is correct
22 Correct 209 ms 22160 KB Output is correct
23 Correct 195 ms 22160 KB Output is correct
24 Correct 175 ms 22152 KB Output is correct
25 Correct 71 ms 12284 KB Output is correct
26 Correct 66 ms 12172 KB Output is correct
27 Correct 202 ms 22276 KB Output is correct
28 Correct 173 ms 22160 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 9 ms 1108 KB Output is correct
37 Correct 174 ms 22156 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 8 ms 1108 KB Output is correct
41 Correct 205 ms 22156 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 4 ms 724 KB Output is correct
45 Correct 83 ms 12168 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 44 ms 5724 KB Output is correct
50 Correct 188 ms 22216 KB Output is correct
51 Correct 172 ms 22192 KB Output is correct
52 Correct 216 ms 22128 KB Output is correct
53 Correct 91 ms 12168 KB Output is correct
54 Correct 69 ms 12288 KB Output is correct
55 Correct 173 ms 22112 KB Output is correct
56 Correct 206 ms 22132 KB Output is correct
57 Correct 91 ms 12164 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 43 ms 5764 KB Output is correct
62 Correct 185 ms 22212 KB Output is correct
63 Correct 181 ms 22148 KB Output is correct
64 Correct 199 ms 22156 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 44 ms 5768 KB Output is correct
67 Correct 182 ms 22104 KB Output is correct
68 Correct 185 ms 22152 KB Output is correct
69 Correct 200 ms 22144 KB Output is correct
70 Correct 1 ms 212 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 46 ms 5836 KB Output is correct
74 Correct 181 ms 22144 KB Output is correct
75 Correct 181 ms 22092 KB Output is correct
76 Correct 179 ms 22136 KB Output is correct
77 Correct 178 ms 22148 KB Output is correct
78 Correct 0 ms 212 KB Output is correct
79 Correct 0 ms 212 KB Output is correct
80 Correct 5 ms 756 KB Output is correct
81 Correct 83 ms 12280 KB Output is correct
82 Correct 0 ms 212 KB Output is correct
83 Correct 1 ms 212 KB Output is correct
84 Correct 0 ms 212 KB Output is correct
85 Correct 45 ms 5836 KB Output is correct
86 Correct 68 ms 12236 KB Output is correct
87 Correct 79 ms 12236 KB Output is correct
88 Correct 71 ms 12172 KB Output is correct
89 Correct 90 ms 12172 KB Output is correct
90 Correct 1 ms 212 KB Output is correct
91 Correct 0 ms 212 KB Output is correct
92 Correct 4 ms 724 KB Output is correct
93 Correct 87 ms 12280 KB Output is correct
94 Correct 0 ms 212 KB Output is correct
95 Correct 1 ms 212 KB Output is correct
96 Correct 0 ms 212 KB Output is correct
97 Correct 19 ms 3284 KB Output is correct
98 Correct 69 ms 12176 KB Output is correct
99 Correct 73 ms 12176 KB Output is correct
100 Correct 66 ms 12164 KB Output is correct
101 Correct 90 ms 12176 KB Output is correct
102 Correct 90 ms 12284 KB Output is correct
103 Correct 100 ms 12280 KB Output is correct
104 Correct 97 ms 12176 KB Output is correct
105 Correct 85 ms 12280 KB Output is correct