답안 #146304

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
146304 2019-08-23T11:42:01 Z jwvg0425 Split the Attractions (IOI19_split) C++17
40 / 100
203 ms 22800 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 span(int root)
{
	visited[root] = true;

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

		treeEdge[root].push_back(e);
		treeEdge[e].push_back(root);
		 
		span(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 / 2);
	}

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

	return -1;
}

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

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

		numbering(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]);
	}

	span(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])
	{
		numbering(e, tr);
		tr++;
	}

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

	for (int k = 1; k < tr; k++)
	{
		if (treeSize[k] < v[0].xx)
			continue;

		int e = -1;

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

		assert(e != -1);

		//이 경우, 얘 하나만 써도 OK
		usingTree[k] = 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);

		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++)
                  ~~^~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 8 ms 5112 KB ok, correct split
3 Correct 6 ms 5112 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 6 ms 5112 KB ok, correct split
6 Correct 5 ms 5112 KB ok, correct split
7 Correct 163 ms 22352 KB ok, correct split
8 Correct 151 ms 20188 KB ok, correct split
9 Correct 149 ms 19320 KB ok, correct split
10 Correct 148 ms 22776 KB ok, correct split
11 Correct 160 ms 22724 KB ok, correct split
# 결과 실행 시간 메모리 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 19540 KB ok, correct split
5 Correct 134 ms 15096 KB ok, correct split
6 Correct 159 ms 22800 KB ok, correct split
7 Correct 199 ms 19932 KB ok, correct split
8 Correct 203 ms 16988 KB ok, correct split
9 Correct 143 ms 14968 KB ok, correct split
10 Correct 106 ms 16112 KB ok, correct split
11 Correct 102 ms 16148 KB ok, correct split
12 Correct 105 ms 16084 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 135 ms 15204 KB ok, correct split
3 Correct 47 ms 9080 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 162 ms 17460 KB ok, correct split
6 Correct 158 ms 17272 KB ok, correct split
7 Correct 148 ms 17016 KB ok, correct split
8 Correct 153 ms 18552 KB ok, correct split
9 Correct 151 ms 17020 KB ok, correct split
10 Correct 42 ms 8312 KB ok, no valid answer
11 Correct 65 ms 9976 KB ok, no valid answer
12 Correct 126 ms 15476 KB ok, no valid answer
13 Correct 148 ms 14864 KB ok, no valid answer
14 Correct 111 ms 15728 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 5112 KB ok, correct split
2 Correct 6 ms 5112 KB ok, no valid answer
3 Correct 6 ms 4984 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 5 ms 5240 KB ok, correct split
6 Correct 6 ms 4984 KB ok, correct split
7 Correct 8 ms 5112 KB ok, correct split
8 Correct 7 ms 5112 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 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 -
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 8 ms 5112 KB ok, correct split
3 Correct 6 ms 5112 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 6 ms 5112 KB ok, correct split
6 Correct 5 ms 5112 KB ok, correct split
7 Correct 163 ms 22352 KB ok, correct split
8 Correct 151 ms 20188 KB ok, correct split
9 Correct 149 ms 19320 KB ok, correct split
10 Correct 148 ms 22776 KB ok, correct split
11 Correct 160 ms 22724 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 19540 KB ok, correct split
16 Correct 134 ms 15096 KB ok, correct split
17 Correct 159 ms 22800 KB ok, correct split
18 Correct 199 ms 19932 KB ok, correct split
19 Correct 203 ms 16988 KB ok, correct split
20 Correct 143 ms 14968 KB ok, correct split
21 Correct 106 ms 16112 KB ok, correct split
22 Correct 102 ms 16148 KB ok, correct split
23 Correct 105 ms 16084 KB ok, correct split
24 Correct 6 ms 4984 KB ok, correct split
25 Correct 135 ms 15204 KB ok, correct split
26 Correct 47 ms 9080 KB ok, correct split
27 Correct 6 ms 4984 KB ok, correct split
28 Correct 162 ms 17460 KB ok, correct split
29 Correct 158 ms 17272 KB ok, correct split
30 Correct 148 ms 17016 KB ok, correct split
31 Correct 153 ms 18552 KB ok, correct split
32 Correct 151 ms 17020 KB ok, correct split
33 Correct 42 ms 8312 KB ok, no valid answer
34 Correct 65 ms 9976 KB ok, no valid answer
35 Correct 126 ms 15476 KB ok, no valid answer
36 Correct 148 ms 14864 KB ok, no valid answer
37 Correct 111 ms 15728 KB ok, no valid answer
38 Correct 7 ms 5112 KB ok, correct split
39 Correct 6 ms 5112 KB ok, no valid answer
40 Correct 6 ms 4984 KB ok, correct split
41 Correct 6 ms 4984 KB ok, correct split
42 Correct 5 ms 5240 KB ok, correct split
43 Correct 6 ms 4984 KB ok, correct split
44 Correct 8 ms 5112 KB ok, correct split
45 Correct 7 ms 5112 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 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 -