Submission #146289

# Submission time Handle Problem Language Result Execution time Memory
146289 2019-08-23T09:57:58 Z jwvg0425 Split the Attractions (IOI19_split) C++17
40 / 100
194 ms 22904 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;
}

void treeDfs(int root, int k)
{
	treeNum[root] = k;

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

		treeDfs(e, k);
	}
}

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);

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

	for (int i = 0; i < n; i++)
		treeSize[treeNum[i]]++;

	for(int i = 1; i < tr;i++)
	{
		if (treeSize[i] >= v[0].xx)
		{
			int e = -1;

			for (auto& ei : edge[cent])
			{
				if (treeNum[ei] == i)
					e = ei;
			}

			//이 경우, 얘 하나만 써도 OK
			usingTree[i] = true;
			mark(e, v[0].yy, v[0].xx);
			mark2(cent, v[1].yy, v[1].xx);

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

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

			return result;
		}
	}

	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);

		assert(v[0].xx == 0);

		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:178:20: 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 4984 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 6 ms 4984 KB ok, correct split
7 Correct 157 ms 22300 KB ok, correct split
8 Correct 144 ms 20088 KB ok, correct split
9 Correct 159 ms 19448 KB ok, correct split
10 Correct 132 ms 22776 KB ok, correct split
11 Correct 164 ms 22904 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 148 ms 19592 KB ok, correct split
5 Correct 133 ms 15224 KB ok, correct split
6 Correct 145 ms 22748 KB ok, correct split
7 Correct 170 ms 19960 KB ok, correct split
8 Correct 188 ms 17148 KB ok, correct split
9 Correct 134 ms 14968 KB ok, correct split
10 Correct 100 ms 16112 KB ok, correct split
11 Correct 95 ms 16112 KB ok, correct split
12 Correct 99 ms 16096 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 130 ms 15108 KB ok, correct split
3 Correct 45 ms 9080 KB ok, correct split
4 Correct 7 ms 5112 KB ok, correct split
5 Correct 155 ms 17528 KB ok, correct split
6 Correct 150 ms 17392 KB ok, correct split
7 Correct 140 ms 17128 KB ok, correct split
8 Correct 194 ms 18396 KB ok, correct split
9 Correct 144 ms 16888 KB ok, correct split
10 Correct 39 ms 8312 KB ok, no valid answer
11 Correct 60 ms 9992 KB ok, no valid answer
12 Correct 116 ms 15348 KB ok, no valid answer
13 Correct 149 ms 14816 KB ok, no valid answer
14 Correct 98 ms 15728 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 7 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 5240 KB ok, correct split
6 Correct 6 ms 5112 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 5340 KB ok, correct split
11 Correct 7 ms 5112 KB ok, correct split
12 Incorrect 9 ms 5368 KB invalid split: #1=405, #2=1196, #3=800
13 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 4984 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 6 ms 4984 KB ok, correct split
7 Correct 157 ms 22300 KB ok, correct split
8 Correct 144 ms 20088 KB ok, correct split
9 Correct 159 ms 19448 KB ok, correct split
10 Correct 132 ms 22776 KB ok, correct split
11 Correct 164 ms 22904 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 148 ms 19592 KB ok, correct split
16 Correct 133 ms 15224 KB ok, correct split
17 Correct 145 ms 22748 KB ok, correct split
18 Correct 170 ms 19960 KB ok, correct split
19 Correct 188 ms 17148 KB ok, correct split
20 Correct 134 ms 14968 KB ok, correct split
21 Correct 100 ms 16112 KB ok, correct split
22 Correct 95 ms 16112 KB ok, correct split
23 Correct 99 ms 16096 KB ok, correct split
24 Correct 6 ms 5112 KB ok, correct split
25 Correct 130 ms 15108 KB ok, correct split
26 Correct 45 ms 9080 KB ok, correct split
27 Correct 7 ms 5112 KB ok, correct split
28 Correct 155 ms 17528 KB ok, correct split
29 Correct 150 ms 17392 KB ok, correct split
30 Correct 140 ms 17128 KB ok, correct split
31 Correct 194 ms 18396 KB ok, correct split
32 Correct 144 ms 16888 KB ok, correct split
33 Correct 39 ms 8312 KB ok, no valid answer
34 Correct 60 ms 9992 KB ok, no valid answer
35 Correct 116 ms 15348 KB ok, no valid answer
36 Correct 149 ms 14816 KB ok, no valid answer
37 Correct 98 ms 15728 KB ok, no valid answer
38 Correct 6 ms 5112 KB ok, correct split
39 Correct 7 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 5240 KB ok, correct split
43 Correct 6 ms 5112 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 5340 KB ok, correct split
48 Correct 7 ms 5112 KB ok, correct split
49 Incorrect 9 ms 5368 KB invalid split: #1=405, #2=1196, #3=800
50 Halted 0 ms 0 KB -