답안 #143912

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
143912 2019-08-15T12:44:15 Z joseacaz Split the Attractions (IOI19_split) C++17
40 / 100
179 ms 17372 KB
#include "split.h"
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

const int MAXN = 100005;

int N, M, sz[MAXN], parent[MAXN], total[MAXN], centroid, component[MAXN];
vi MST[MAXN], Graph[MAXN], ans;
vector<pii> part ( 3, {0, 0} );

int look ( int node )
{
	if ( parent[node] == node )
		return node;
	return parent[node] = look ( parent[node] );
}

void join ( int nodeA, int nodeB )
{
	parent[look(nodeB)] = look(nodeA);
}

void pre ( int node, int p = -1 )
{
	sz[node] = 1;
	for ( auto i : MST[node] )
		if ( i != p )
			pre ( i, node ), sz[node] += sz[i];
}

int find_centroid ( int node, int p = -1 )
{
	for ( auto i : MST[node] )
		if ( i != p && 2*sz[i] > sz[0] )
			return find_centroid ( i, node );
	return node;
}

void paint ( int node, int p, int color )
{
	if ( ans[node] )
		return;

	if ( part[color].first )
	{
		part[color].first--;
		ans[node] = part[color].second;
	}
	else
		ans[node] = part[2].second;
	
	for ( auto i : MST[node] )
		if ( i != p )
			paint ( i, node, color );
}

void compress ( int root, int node, int p )
{
	component[node] = root;
	for ( auto i : MST[node] )
		if ( i != p )
			compress ( root, i, node );
}

void dfs ( int node, int p = -1 )
{
	if ( part[0].first > 0 )
		paint ( node, centroid, 0 );
	
	for ( auto i : Graph[node] )
		if ( i != p )
			dfs ( i, node );
}

vi find_split ( int _n, int a, int b, int c, vi p, vi q )
{
	part[0] = {a, 1};
	part[1] = {b, 2};
	part[2] = {c, 3};
	sort ( part.begin(), part.end() );
	N = _n;
	M = p.size();
	ans.resize ( N );
	
	for ( int i = 0; i < N; i++ )
		parent[i] = i;
	for ( int i = 0; i < M; i++ )
	{
		if ( look ( p[i] ) != look ( q[i] ) )
		{
			MST[p[i]].push_back ( q[i] );
			MST[q[i]].push_back ( p[i] );
			join ( p[i], q[i] );
		}
	}
	
	pre ( 0 );
	centroid = find_centroid ( 0 );
	pre ( centroid );
	
	component[centroid] = centroid;
	for ( auto i : MST[centroid] )
	{
		if ( sz[i] >= part[0].first )
		{
			paint ( i, centroid, 0 );
			paint ( centroid, -1, 1 );
			return ans;
		}
		
		compress ( i, i, centroid );
	}
	
	for ( int i = 0; i < N; i++ )
		parent[i] = i;
	for ( int i = 0; i < M; i++ )
	{
		if ( p[i] == centroid or q[i] == centroid )
			continue;

		if ( look ( component[p[i]] ) != look ( component[q[i]] ) )
		{
			join ( component[p[i]], component[q[i]] );
			Graph[component[p[i]]].push_back ( component[q[i]] );
			Graph[component[q[i]]].push_back ( component[p[i]] );
		}
	}
	
	for ( auto i : MST[centroid] )
		total[look(i)] += sz[i];

	for ( int i = 0; i < N; i++ )
	{
		if ( i == centroid )
			continue;
		
		if ( total[look(component[i])] >= part[0].first )
		{
			dfs ( look ( component[i] ) );
			paint ( centroid, -1, 1 );
			return ans;
		}
	}
	
	for ( auto &i : ans )
		i = 0;
	return ans;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 5 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 8 ms 4976 KB ok, correct split
5 Correct 7 ms 5084 KB ok, correct split
6 Correct 6 ms 5048 KB ok, correct split
7 Correct 153 ms 17272 KB ok, correct split
8 Correct 136 ms 15480 KB ok, correct split
9 Correct 179 ms 14904 KB ok, correct split
10 Correct 163 ms 17308 KB ok, correct split
11 Correct 145 ms 16380 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 6 ms 4956 KB ok, correct split
3 Correct 6 ms 4984 KB ok, correct split
4 Correct 143 ms 12188 KB ok, correct split
5 Correct 118 ms 11356 KB ok, correct split
6 Correct 162 ms 17372 KB ok, correct split
7 Correct 139 ms 15352 KB ok, correct split
8 Correct 167 ms 12792 KB ok, correct split
9 Correct 133 ms 11484 KB ok, correct split
10 Correct 72 ms 11760 KB ok, correct split
11 Correct 70 ms 11640 KB ok, correct split
12 Correct 78 ms 11632 KB ok, correct split
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 110 ms 11840 KB ok, correct split
3 Correct 46 ms 7672 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 140 ms 13784 KB ok, correct split
6 Correct 134 ms 13560 KB ok, correct split
7 Correct 148 ms 13588 KB ok, correct split
8 Correct 124 ms 14328 KB ok, correct split
9 Correct 132 ms 13620 KB ok, correct split
10 Correct 34 ms 7456 KB ok, no valid answer
11 Correct 51 ms 8568 KB ok, no valid answer
12 Correct 87 ms 12376 KB ok, no valid answer
13 Correct 99 ms 12280 KB ok, no valid answer
14 Correct 76 ms 12400 KB ok, no valid answer
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 6 ms 4984 KB ok, no valid answer
3 Correct 6 ms 4984 KB ok, correct split
4 Correct 7 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 5 ms 4984 KB ok, correct split
8 Correct 6 ms 5112 KB ok, correct split
9 Correct 8 ms 5240 KB ok, correct split
10 Correct 8 ms 5240 KB ok, correct split
11 Correct 6 ms 5112 KB ok, correct split
12 Incorrect 9 ms 5240 KB 2 components are not connected
13 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 5 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 8 ms 4976 KB ok, correct split
5 Correct 7 ms 5084 KB ok, correct split
6 Correct 6 ms 5048 KB ok, correct split
7 Correct 153 ms 17272 KB ok, correct split
8 Correct 136 ms 15480 KB ok, correct split
9 Correct 179 ms 14904 KB ok, correct split
10 Correct 163 ms 17308 KB ok, correct split
11 Correct 145 ms 16380 KB ok, correct split
12 Correct 6 ms 4984 KB ok, correct split
13 Correct 6 ms 4956 KB ok, correct split
14 Correct 6 ms 4984 KB ok, correct split
15 Correct 143 ms 12188 KB ok, correct split
16 Correct 118 ms 11356 KB ok, correct split
17 Correct 162 ms 17372 KB ok, correct split
18 Correct 139 ms 15352 KB ok, correct split
19 Correct 167 ms 12792 KB ok, correct split
20 Correct 133 ms 11484 KB ok, correct split
21 Correct 72 ms 11760 KB ok, correct split
22 Correct 70 ms 11640 KB ok, correct split
23 Correct 78 ms 11632 KB ok, correct split
24 Correct 6 ms 4984 KB ok, correct split
25 Correct 110 ms 11840 KB ok, correct split
26 Correct 46 ms 7672 KB ok, correct split
27 Correct 6 ms 4984 KB ok, correct split
28 Correct 140 ms 13784 KB ok, correct split
29 Correct 134 ms 13560 KB ok, correct split
30 Correct 148 ms 13588 KB ok, correct split
31 Correct 124 ms 14328 KB ok, correct split
32 Correct 132 ms 13620 KB ok, correct split
33 Correct 34 ms 7456 KB ok, no valid answer
34 Correct 51 ms 8568 KB ok, no valid answer
35 Correct 87 ms 12376 KB ok, no valid answer
36 Correct 99 ms 12280 KB ok, no valid answer
37 Correct 76 ms 12400 KB ok, no valid answer
38 Correct 6 ms 4984 KB ok, correct split
39 Correct 6 ms 4984 KB ok, no valid answer
40 Correct 6 ms 4984 KB ok, correct split
41 Correct 7 ms 5112 KB ok, correct split
42 Correct 6 ms 4984 KB ok, correct split
43 Correct 6 ms 4984 KB ok, correct split
44 Correct 5 ms 4984 KB ok, correct split
45 Correct 6 ms 5112 KB ok, correct split
46 Correct 8 ms 5240 KB ok, correct split
47 Correct 8 ms 5240 KB ok, correct split
48 Correct 6 ms 5112 KB ok, correct split
49 Incorrect 9 ms 5240 KB 2 components are not connected
50 Halted 0 ms 0 KB -