Submission #146264

# Submission time Handle Problem Language Result Execution time Memory
146264 2019-08-23T08:15:30 Z jwvg0425 Split the Attractions (IOI19_split) C++17
40 / 100
1100 ms 1048576 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 || 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;
	}

	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);

	// centroid 제외한 그래프에서 a이상의 크기인 트리가 있는지 확인, 있으면 go
	int tr = 1;
	for (auto& e : edge[cent])
	{
		treeSize[tr] = treeDfs(e, 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++;
	}

	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:182:20: 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 4984 KB ok, correct split
2 Correct 6 ms 5116 KB ok, correct split
3 Correct 6 ms 4984 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 6 ms 4984 KB ok, correct split
7 Correct 153 ms 22392 KB ok, correct split
8 Correct 141 ms 20248 KB ok, correct split
9 Correct 149 ms 19420 KB ok, correct split
10 Correct 148 ms 22776 KB ok, correct split
11 Correct 156 ms 22776 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 6 ms 4984 KB ok, correct split
3 Correct 6 ms 4984 KB ok, correct split
4 Correct 169 ms 19548 KB ok, correct split
5 Correct 129 ms 15096 KB ok, correct split
6 Correct 154 ms 22844 KB ok, correct split
7 Correct 150 ms 19832 KB ok, correct split
8 Correct 180 ms 16760 KB ok, correct split
9 Correct 141 ms 14968 KB ok, correct split
10 Correct 94 ms 15344 KB ok, correct split
11 Correct 96 ms 15344 KB ok, correct split
12 Correct 103 ms 15240 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 7 ms 5112 KB ok, correct split
2 Correct 134 ms 15172 KB ok, correct split
3 Correct 53 ms 9080 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 149 ms 17536 KB ok, correct split
6 Correct 139 ms 17272 KB ok, correct split
7 Correct 148 ms 17016 KB ok, correct split
8 Correct 147 ms 18404 KB ok, correct split
9 Correct 157 ms 16944 KB ok, correct split
10 Correct 39 ms 8312 KB ok, no valid answer
11 Correct 58 ms 9948 KB ok, no valid answer
12 Correct 112 ms 15320 KB ok, no valid answer
13 Correct 142 ms 14840 KB ok, no valid answer
14 Correct 98 ms 15860 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 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 4984 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 6 ms 4984 KB ok, correct split
7 Correct 6 ms 4984 KB ok, correct split
8 Correct 6 ms 4984 KB ok, correct split
9 Correct 9 ms 5368 KB ok, correct split
10 Correct 9 ms 5368 KB ok, correct split
11 Correct 6 ms 5092 KB ok, correct split
12 Correct 9 ms 5372 KB ok, correct split
13 Correct 6 ms 5112 KB ok, correct split
14 Correct 6 ms 4984 KB ok, correct split
15 Correct 6 ms 4984 KB ok, correct split
16 Correct 6 ms 4984 KB ok, correct split
17 Correct 6 ms 5112 KB ok, correct split
18 Correct 6 ms 4984 KB ok, correct split
19 Correct 7 ms 5112 KB ok, correct split
20 Correct 7 ms 5112 KB ok, correct split
21 Correct 8 ms 5368 KB ok, correct split
22 Correct 8 ms 5368 KB ok, correct split
23 Correct 8 ms 5480 KB ok, correct split
24 Correct 8 ms 5368 KB ok, correct split
25 Correct 8 ms 5380 KB ok, correct split
26 Runtime error 1100 ms 1048576 KB Execution killed with signal 9 (could be triggered by violating memory limits)
27 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 6 ms 5116 KB ok, correct split
3 Correct 6 ms 4984 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 6 ms 4984 KB ok, correct split
7 Correct 153 ms 22392 KB ok, correct split
8 Correct 141 ms 20248 KB ok, correct split
9 Correct 149 ms 19420 KB ok, correct split
10 Correct 148 ms 22776 KB ok, correct split
11 Correct 156 ms 22776 KB ok, correct split
12 Correct 6 ms 4984 KB ok, correct split
13 Correct 6 ms 4984 KB ok, correct split
14 Correct 6 ms 4984 KB ok, correct split
15 Correct 169 ms 19548 KB ok, correct split
16 Correct 129 ms 15096 KB ok, correct split
17 Correct 154 ms 22844 KB ok, correct split
18 Correct 150 ms 19832 KB ok, correct split
19 Correct 180 ms 16760 KB ok, correct split
20 Correct 141 ms 14968 KB ok, correct split
21 Correct 94 ms 15344 KB ok, correct split
22 Correct 96 ms 15344 KB ok, correct split
23 Correct 103 ms 15240 KB ok, correct split
24 Correct 7 ms 5112 KB ok, correct split
25 Correct 134 ms 15172 KB ok, correct split
26 Correct 53 ms 9080 KB ok, correct split
27 Correct 6 ms 4984 KB ok, correct split
28 Correct 149 ms 17536 KB ok, correct split
29 Correct 139 ms 17272 KB ok, correct split
30 Correct 148 ms 17016 KB ok, correct split
31 Correct 147 ms 18404 KB ok, correct split
32 Correct 157 ms 16944 KB ok, correct split
33 Correct 39 ms 8312 KB ok, no valid answer
34 Correct 58 ms 9948 KB ok, no valid answer
35 Correct 112 ms 15320 KB ok, no valid answer
36 Correct 142 ms 14840 KB ok, no valid answer
37 Correct 98 ms 15860 KB ok, no valid answer
38 Correct 6 ms 4984 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 4984 KB ok, correct split
42 Correct 6 ms 4984 KB ok, correct split
43 Correct 6 ms 4984 KB ok, correct split
44 Correct 6 ms 4984 KB ok, correct split
45 Correct 6 ms 4984 KB ok, correct split
46 Correct 9 ms 5368 KB ok, correct split
47 Correct 9 ms 5368 KB ok, correct split
48 Correct 6 ms 5092 KB ok, correct split
49 Correct 9 ms 5372 KB ok, correct split
50 Correct 6 ms 5112 KB ok, correct split
51 Correct 6 ms 4984 KB ok, correct split
52 Correct 6 ms 4984 KB ok, correct split
53 Correct 6 ms 4984 KB ok, correct split
54 Correct 6 ms 5112 KB ok, correct split
55 Correct 6 ms 4984 KB ok, correct split
56 Correct 7 ms 5112 KB ok, correct split
57 Correct 7 ms 5112 KB ok, correct split
58 Correct 8 ms 5368 KB ok, correct split
59 Correct 8 ms 5368 KB ok, correct split
60 Correct 8 ms 5480 KB ok, correct split
61 Correct 8 ms 5368 KB ok, correct split
62 Correct 8 ms 5380 KB ok, correct split
63 Runtime error 1100 ms 1048576 KB Execution killed with signal 9 (could be triggered by violating memory limits)
64 Halted 0 ms 0 KB -