Submission #146275

# Submission time Handle Problem Language Result Execution time Memory
146275 2019-08-23T09:19:33 Z jwvg0425 Split the Attractions (IOI19_split) C++17
40 / 100
175 ms 22824 KB
#include "split.h"
#include <stdio.h>
#include <vector>
#include <queue>
#include <algorithm>
#include <iostream>
#include <string>
#include <bitset>
#include <map>
#include <set>
#include <tuple>
#include <string.h>
#include <math.h>
#include <random>
#include <functional>
#include <assert.h>
#include <math.h>
#define all(x) (x).begin(), (x).end()
#define xx first
#define yy second

using namespace std;

using i64 = long long int;
using ii = pair<int, int>;
using ii64 = pair<i64, i64>;

vector<int> edge[100005];
vector<int> treeEdge[100005];
bool visited[100005];
int cent;
int val[100005];
int csize[100005];
int treeNum[100005];
int parent[100005];
int treeSize[100005];
int compSize[100005];
bool usingTree[100005];
int usingSize;

void dfs(int root)
{
	visited[root] = true;

	for (auto& e : edge[root])
	{
		if (visited[e])
			continue;

		treeEdge[root].push_back(e);
		treeEdge[e].push_back(root);

		dfs(e);
	}
}

int findCent(int root, int n)
{
	csize[root] = 1;

	bool isCent = true;

	for (auto& e : treeEdge[root])
	{
		if (e == parent[root])
			continue;

		parent[e] = root;
		int c = findCent(e, n);

		if (c != -1)
			return c;

		csize[root] += csize[e];

		isCent = isCent && (csize[e] <= (n + 1) / 2);
	}

	if (isCent && n - csize[root] <= (n + 1) / 2)
		return root;

	return -1;
}

int treeDfs(int root, int k)
{
	// cent 방향 안 가면서 크기 계산, 트리 번호도 붙여준다
	int res = 1;
	visited[root] = true;
	treeNum[root] = k;

	for (auto& e : treeEdge[root])
	{
		if (treeNum[e] != 0 || visited[e] || e == cent)
			continue;

		res += treeDfs(e, k);
	}

	return res;
}

int comp(int root)
{
	int res = 0;
	if (!usingTree[treeNum[root]])
	{
		res += treeSize[treeNum[root]];
		usingTree[treeNum[root]] = true;
	}
	visited[root] = true;

	for (auto& e : edge[root])
	{
		if (visited[e] || e == cent)
			continue;

		res += comp(e);
	}

	return res;
}

void findTree(int root, int sz)
{
	if (usingSize >= sz)
		return;

	if (!usingTree[treeNum[root]])
	{
		usingSize += treeSize[treeNum[root]];
		usingTree[treeNum[root]] = true;
	}
	visited[root] = true;

	for (auto& e : edge[root])
	{
		if (visited[e] || e == cent)
			continue;

		findTree(e, sz);
	}
}

void mark(int root, int v, int& sz)
{
	if (sz == 0)
		return;

	val[root] = v;
	sz--;

	for (auto& e : edge[root])
	{
		if (val[e] != 0 || !usingTree[treeNum[e]])
			continue;

		mark(e, v, sz);
	}
}

void mark2(int root, int v, int& sz)
{
	if (sz == 0)
		return;
	
	val[root] = v;
	sz--;

	for (auto& e : edge[root])
	{
		if (val[e] != 0)
			continue;

		mark2(e, v, sz);
	}
}

vector<int> find_split(int n, int a, int b, int c, vector<int> p, vector<int> q)
{
	vector<ii> v = { { a, 1 }, { b, 2 }, { c, 3 } };

	for (int i = 0; i < p.size(); i++)
	{
		edge[p[i]].push_back(q[i]);
		edge[q[i]].push_back(p[i]);
	}

	dfs(0);

	sort(all(v));

	cent = findCent(0, n);

	memset(visited, false, sizeof(visited));

	// centroid 제외한 그래프에서 a이상의 크기인 트리가 있는지 확인, 있으면 go
	int tr = 1;
	int sum = 0;
	for (auto& e : edge[cent])
	{
		treeSize[tr] = treeDfs(e, tr);
		sum += treeSize[tr];
		if (treeSize[tr] >= v[0].xx)
		{
			//이 경우, 얘 하나만 써도 OK
			usingTree[tr] = true;
			mark(e, v[0].yy, v[0].xx);
			mark2(cent, v[1].yy, v[1].xx);

			for (int i = 0; i < n; i++)
				if (val[i] == 0)
					val[i] = v[2].yy;

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

			return result;
		}

		tr++;
	}
	assert(sum == n - 1);

	memset(visited, false, sizeof(visited));
	for (auto& e : edge[cent])
	{
		int c = comp(e);

		if (c < v[0].xx)
			continue;

		// 합해서 a이상 되는 트리 확인 후, 그 트리에 속하는 원소들만 이용해서 a개수 만든다
		memset(visited, false, sizeof(visited));
		memset(usingTree, false, sizeof(usingTree));
		findTree(e, v[0].xx);

		mark(e, v[0].yy, v[0].xx);
		mark2(cent, v[1].yy, v[1].xx);

		for (int i = 0; i < n; i++)
			if (val[i] == 0)
				val[i] = v[2].yy;

		break;
	}

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

	return result;
}

Compilation message

split.cpp: In function 'std::vector<int> find_split(int, int, int, int, std::vector<int>, std::vector<int>)':
split.cpp:183:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < p.size(); i++)
                  ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 6 ms 5112 KB ok, correct split
3 Correct 6 ms 5112 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 6 ms 5112 KB ok, correct split
6 Correct 6 ms 5112 KB ok, correct split
7 Correct 147 ms 22392 KB ok, correct split
8 Correct 146 ms 20104 KB ok, correct split
9 Correct 136 ms 19576 KB ok, correct split
10 Correct 132 ms 22776 KB ok, correct split
11 Correct 147 ms 22824 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 6 ms 5112 KB ok, correct split
3 Correct 6 ms 5112 KB ok, correct split
4 Correct 150 ms 19516 KB ok, correct split
5 Correct 134 ms 15116 KB ok, correct split
6 Correct 134 ms 22776 KB ok, correct split
7 Correct 144 ms 19872 KB ok, correct split
8 Correct 175 ms 17032 KB ok, correct split
9 Correct 120 ms 14968 KB ok, correct split
10 Correct 124 ms 15344 KB ok, correct split
11 Correct 94 ms 15344 KB ok, correct split
12 Correct 93 ms 15348 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 133 ms 15164 KB ok, correct split
3 Correct 46 ms 9208 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 144 ms 17476 KB ok, correct split
6 Correct 146 ms 17272 KB ok, correct split
7 Correct 159 ms 17080 KB ok, correct split
8 Correct 151 ms 18496 KB ok, correct split
9 Correct 142 ms 16888 KB ok, correct split
10 Correct 40 ms 8360 KB ok, no valid answer
11 Correct 65 ms 10104 KB ok, no valid answer
12 Correct 113 ms 15348 KB ok, no valid answer
13 Correct 136 ms 14840 KB ok, no valid answer
14 Correct 100 ms 15872 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 6 ms 5112 KB ok, no valid answer
3 Correct 6 ms 5112 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 6 ms 5112 KB ok, correct split
6 Correct 6 ms 5112 KB ok, correct split
7 Correct 6 ms 5112 KB ok, correct split
8 Correct 6 ms 5112 KB ok, correct split
9 Correct 10 ms 5496 KB ok, correct split
10 Correct 18 ms 5496 KB ok, correct split
11 Correct 7 ms 5240 KB ok, correct split
12 Correct 11 ms 5500 KB ok, correct split
13 Correct 6 ms 5240 KB ok, correct split
14 Correct 6 ms 5116 KB ok, correct split
15 Correct 6 ms 5112 KB ok, correct split
16 Correct 6 ms 5112 KB ok, correct split
17 Correct 6 ms 5112 KB ok, correct split
18 Correct 8 ms 5240 KB ok, correct split
19 Correct 8 ms 5240 KB ok, correct split
20 Correct 9 ms 5240 KB ok, correct split
21 Correct 9 ms 5500 KB ok, correct split
22 Correct 8 ms 5496 KB ok, correct split
23 Correct 8 ms 5496 KB ok, correct split
24 Correct 10 ms 5496 KB ok, correct split
25 Correct 8 ms 5496 KB ok, correct split
26 Runtime error 15 ms 10872 KB Execution killed with signal 11 (could be triggered by violating memory limits)
27 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 6 ms 5112 KB ok, correct split
3 Correct 6 ms 5112 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 6 ms 5112 KB ok, correct split
6 Correct 6 ms 5112 KB ok, correct split
7 Correct 147 ms 22392 KB ok, correct split
8 Correct 146 ms 20104 KB ok, correct split
9 Correct 136 ms 19576 KB ok, correct split
10 Correct 132 ms 22776 KB ok, correct split
11 Correct 147 ms 22824 KB ok, correct split
12 Correct 6 ms 5112 KB ok, correct split
13 Correct 6 ms 5112 KB ok, correct split
14 Correct 6 ms 5112 KB ok, correct split
15 Correct 150 ms 19516 KB ok, correct split
16 Correct 134 ms 15116 KB ok, correct split
17 Correct 134 ms 22776 KB ok, correct split
18 Correct 144 ms 19872 KB ok, correct split
19 Correct 175 ms 17032 KB ok, correct split
20 Correct 120 ms 14968 KB ok, correct split
21 Correct 124 ms 15344 KB ok, correct split
22 Correct 94 ms 15344 KB ok, correct split
23 Correct 93 ms 15348 KB ok, correct split
24 Correct 6 ms 5112 KB ok, correct split
25 Correct 133 ms 15164 KB ok, correct split
26 Correct 46 ms 9208 KB ok, correct split
27 Correct 6 ms 5112 KB ok, correct split
28 Correct 144 ms 17476 KB ok, correct split
29 Correct 146 ms 17272 KB ok, correct split
30 Correct 159 ms 17080 KB ok, correct split
31 Correct 151 ms 18496 KB ok, correct split
32 Correct 142 ms 16888 KB ok, correct split
33 Correct 40 ms 8360 KB ok, no valid answer
34 Correct 65 ms 10104 KB ok, no valid answer
35 Correct 113 ms 15348 KB ok, no valid answer
36 Correct 136 ms 14840 KB ok, no valid answer
37 Correct 100 ms 15872 KB ok, no valid answer
38 Correct 6 ms 5112 KB ok, correct split
39 Correct 6 ms 5112 KB ok, no valid answer
40 Correct 6 ms 5112 KB ok, correct split
41 Correct 6 ms 5112 KB ok, correct split
42 Correct 6 ms 5112 KB ok, correct split
43 Correct 6 ms 5112 KB ok, correct split
44 Correct 6 ms 5112 KB ok, correct split
45 Correct 6 ms 5112 KB ok, correct split
46 Correct 10 ms 5496 KB ok, correct split
47 Correct 18 ms 5496 KB ok, correct split
48 Correct 7 ms 5240 KB ok, correct split
49 Correct 11 ms 5500 KB ok, correct split
50 Correct 6 ms 5240 KB ok, correct split
51 Correct 6 ms 5116 KB ok, correct split
52 Correct 6 ms 5112 KB ok, correct split
53 Correct 6 ms 5112 KB ok, correct split
54 Correct 6 ms 5112 KB ok, correct split
55 Correct 8 ms 5240 KB ok, correct split
56 Correct 8 ms 5240 KB ok, correct split
57 Correct 9 ms 5240 KB ok, correct split
58 Correct 9 ms 5500 KB ok, correct split
59 Correct 8 ms 5496 KB ok, correct split
60 Correct 8 ms 5496 KB ok, correct split
61 Correct 10 ms 5496 KB ok, correct split
62 Correct 8 ms 5496 KB ok, correct split
63 Runtime error 15 ms 10872 KB Execution killed with signal 11 (could be triggered by violating memory limits)
64 Halted 0 ms 0 KB -