Submission #146283

# Submission time Handle Problem Language Result Execution time Memory
146283 2019-08-23T09:46:47 Z jwvg0425 Split the Attractions (IOI19_split) C++17
18 / 100
207 ms 22776 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)
{
	// cent 방향 안 가면서 크기 계산, 트리 번호도 붙여준다
	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 (int j = 0; j < n; j++)
			{
				if (treeNum[j] == i)
					e = j;
			}

			//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;
		}

		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:179:20: 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 4984 KB ok, correct split
3 Correct 6 ms 5084 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 174 ms 22320 KB ok, correct split
8 Correct 207 ms 20088 KB ok, correct split
9 Correct 167 ms 19320 KB ok, correct split
10 Correct 148 ms 22776 KB ok, correct split
11 Correct 154 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 167 ms 19588 KB ok, correct split
5 Correct 133 ms 15096 KB ok, correct split
6 Correct 131 ms 22776 KB ok, correct split
7 Correct 143 ms 19924 KB ok, correct split
8 Correct 179 ms 16992 KB ok, correct split
9 Correct 126 ms 15096 KB ok, correct split
10 Correct 101 ms 16056 KB ok, correct split
11 Correct 100 ms 16112 KB ok, correct split
12 Correct 102 ms 16160 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 135 ms 15120 KB ok, correct split
3 Correct 46 ms 9080 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 147 ms 17528 KB ok, correct split
6 Correct 144 ms 17272 KB ok, correct split
7 Correct 137 ms 17016 KB ok, correct split
8 Correct 142 ms 18424 KB ok, correct split
9 Correct 147 ms 16888 KB ok, correct split
10 Incorrect 38 ms 8440 KB invalid split: #1=0, #2=11111, #3=22222
11 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Incorrect 6 ms 4984 KB invalid split: #1=0, #2=2, #3=4
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 6 ms 4984 KB ok, correct split
3 Correct 6 ms 5084 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 174 ms 22320 KB ok, correct split
8 Correct 207 ms 20088 KB ok, correct split
9 Correct 167 ms 19320 KB ok, correct split
10 Correct 148 ms 22776 KB ok, correct split
11 Correct 154 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 167 ms 19588 KB ok, correct split
16 Correct 133 ms 15096 KB ok, correct split
17 Correct 131 ms 22776 KB ok, correct split
18 Correct 143 ms 19924 KB ok, correct split
19 Correct 179 ms 16992 KB ok, correct split
20 Correct 126 ms 15096 KB ok, correct split
21 Correct 101 ms 16056 KB ok, correct split
22 Correct 100 ms 16112 KB ok, correct split
23 Correct 102 ms 16160 KB ok, correct split
24 Correct 6 ms 4984 KB ok, correct split
25 Correct 135 ms 15120 KB ok, correct split
26 Correct 46 ms 9080 KB ok, correct split
27 Correct 6 ms 5112 KB ok, correct split
28 Correct 147 ms 17528 KB ok, correct split
29 Correct 144 ms 17272 KB ok, correct split
30 Correct 137 ms 17016 KB ok, correct split
31 Correct 142 ms 18424 KB ok, correct split
32 Correct 147 ms 16888 KB ok, correct split
33 Incorrect 38 ms 8440 KB invalid split: #1=0, #2=11111, #3=22222
34 Halted 0 ms 0 KB -