Submission #143733

# Submission time Handle Problem Language Result Execution time Memory
143733 2019-08-15T01:45:27 Z joseacaz Split the Attractions (IOI19_split) C++17
40 / 100
155 ms 15864 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], nodes, nodeA, vis[MAXN], vis2[MAXN], centroid;
vi Tree[MAXN], Graph[MAXN], ans, nodes2;
vector < pii > part ( 3, {0, 0} );
map<pii, int> MP;

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

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

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

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

void dfs ( int root, int node, int p = -1 )
{
	join ( root, node );
	for ( auto i : Tree[node] )
		if ( i != p )
			dfs ( root, i, node );
}

void paint ( int node, int p, int color )
{
	if ( nodes )
		ans[node] = color, nodes--;
	else
		ans[node] = part[2].second;
	
	for ( auto i : Tree[node] )
		if ( i != p && !vis[i] )
			paint ( i, node, color );
}

bool possible ( int node )
{
	if ( nodes )
		nodes -= sz[node];
	vis[node] = 1;
	
	for ( auto i : Graph[node] )
		if ( !vis[i] && possible ( i ) )
			return 1;
	return 0;
}

void paint2 ( int node, int color )
{
	if ( nodes > 0 )
	{
		paint ( node, centroid, color );
		vis[node] = 1;
	}
	else
	{
		return;
	}
	
	vis2[node] = 1;
	for ( auto i : Graph[node] )
		if ( !vis2[i] )
			paint2 ( i, color );
}

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, ans[i] = 0;
	for ( int i = 0; i < M; i++ )
	{
		if ( look ( p[i] ) != look ( q[i] ) )
		{
			join ( p[i], q[i] );
			Tree[p[i]].push_back ( q[i] );
			Tree[q[i]].push_back ( p[i] );
		}
	}
	
	pre ( 0 );
	centroid = find_centroid ( 0 );
	pre ( centroid );
	for ( int i = 0; i < N; i++ )
		parent[i] = i;
	
	nodeA = -1;
	for ( auto i : Tree[centroid] )
	{
		dfs ( i, i, centroid );
		if ( sz[i] >= part[0].first )
			nodeA = i;
		nodes2.push_back ( i );
	}
	
	if ( nodeA != -1 )
	{
		nodes = part[0].first;
		paint ( nodeA, centroid, part[0].second );
		vis[nodeA] = 1;
		nodes = part[1].first;
		paint ( centroid, -1, part[1].second );
		return ans;
	}

	for ( int i = 0; i < M; i++ )
	{
		if ( p[i] == centroid or q[i] == centroid )
			continue;

		if ( look(p[i]) != look(q[i]) && !MP[{look(p[i]), look(q[i])}])
		{
			Graph[look(p[i])].push_back ( look(q[i]) );
			Graph[look(q[i])].push_back ( look(p[i]) );
			MP[{look(p[i]), look(q[i])}] = 1;
			MP[{look(q[i]), look(p[i])}] = 1;
		}
	}
	
	for ( auto i : nodes2 )
	{
		if ( vis[i] )
			continue;
		
		nodes = part[0].first;
		possible ( i );
		
		if ( nodes <= 0 )
		{
			for ( auto j : nodes2 )
				vis[j] = 0;
			nodes = part[0].first;
			paint2 ( i, part[0].second );
			nodes = part[1].first;
			paint ( centroid, -1, part[1].second );
			return ans;
		}
	}
	
	for ( auto &i : ans )
		i = 0;
	return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 7 ms 4984 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 123 ms 15736 KB ok, correct split
8 Correct 117 ms 14456 KB ok, correct split
9 Correct 142 ms 13948 KB ok, correct split
10 Correct 132 ms 15864 KB ok, correct split
11 Correct 135 ms 15096 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 5112 KB ok, correct split
2 Correct 7 ms 4984 KB ok, correct split
3 Correct 6 ms 4984 KB ok, correct split
4 Correct 151 ms 12280 KB ok, correct split
5 Correct 99 ms 11384 KB ok, correct split
6 Correct 127 ms 15832 KB ok, correct split
7 Correct 122 ms 14328 KB ok, correct split
8 Correct 141 ms 12764 KB ok, correct split
9 Correct 155 ms 11256 KB ok, correct split
10 Correct 73 ms 12400 KB ok, correct split
11 Correct 73 ms 12244 KB ok, correct split
12 Correct 77 ms 12280 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 108 ms 11456 KB ok, correct split
3 Correct 42 ms 7544 KB ok, correct split
4 Correct 7 ms 4856 KB ok, correct split
5 Correct 124 ms 12928 KB ok, correct split
6 Correct 108 ms 12664 KB ok, correct split
7 Correct 132 ms 12664 KB ok, correct split
8 Correct 127 ms 13432 KB ok, correct split
9 Correct 126 ms 12768 KB ok, correct split
10 Correct 33 ms 7288 KB ok, no valid answer
11 Correct 48 ms 8440 KB ok, no valid answer
12 Correct 87 ms 12552 KB ok, no valid answer
13 Correct 95 ms 11896 KB ok, no valid answer
14 Correct 75 ms 12656 KB ok, no valid answer
# Verdict Execution time Memory 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 4988 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 7 ms 5112 KB ok, correct split
7 Correct 6 ms 5112 KB ok, correct split
8 Correct 6 ms 4984 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 5116 KB ok, correct split
12 Correct 9 ms 5372 KB ok, correct split
13 Correct 6 ms 4984 KB ok, correct split
14 Correct 6 ms 4984 KB ok, correct split
15 Correct 6 ms 5112 KB ok, correct split
16 Correct 6 ms 4984 KB ok, correct split
17 Correct 6 ms 4984 KB ok, correct split
18 Correct 6 ms 4984 KB ok, correct split
19 Correct 6 ms 5112 KB ok, correct split
20 Correct 6 ms 5112 KB ok, correct split
21 Correct 8 ms 5240 KB ok, correct split
22 Correct 7 ms 5240 KB ok, correct split
23 Correct 8 ms 5240 KB ok, correct split
24 Correct 9 ms 5240 KB ok, correct split
25 Correct 8 ms 5240 KB ok, correct split
26 Correct 8 ms 5240 KB ok, correct split
27 Correct 8 ms 5240 KB ok, correct split
28 Correct 8 ms 5240 KB ok, correct split
29 Correct 6 ms 5112 KB ok, correct split
30 Correct 8 ms 5240 KB ok, correct split
31 Correct 6 ms 5112 KB ok, correct split
32 Correct 6 ms 4984 KB ok, correct split
33 Correct 6 ms 4984 KB ok, correct split
34 Correct 8 ms 5244 KB ok, correct split
35 Correct 8 ms 5240 KB ok, correct split
36 Correct 8 ms 5240 KB ok, correct split
37 Correct 10 ms 5496 KB ok, correct split
38 Correct 10 ms 5496 KB ok, correct split
39 Correct 10 ms 5496 KB ok, correct split
40 Correct 10 ms 5496 KB ok, correct split
41 Correct 8 ms 5240 KB ok, correct split
42 Incorrect 8 ms 5244 KB 2 components are not connected
43 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 7 ms 4984 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 123 ms 15736 KB ok, correct split
8 Correct 117 ms 14456 KB ok, correct split
9 Correct 142 ms 13948 KB ok, correct split
10 Correct 132 ms 15864 KB ok, correct split
11 Correct 135 ms 15096 KB ok, correct split
12 Correct 6 ms 5112 KB ok, correct split
13 Correct 7 ms 4984 KB ok, correct split
14 Correct 6 ms 4984 KB ok, correct split
15 Correct 151 ms 12280 KB ok, correct split
16 Correct 99 ms 11384 KB ok, correct split
17 Correct 127 ms 15832 KB ok, correct split
18 Correct 122 ms 14328 KB ok, correct split
19 Correct 141 ms 12764 KB ok, correct split
20 Correct 155 ms 11256 KB ok, correct split
21 Correct 73 ms 12400 KB ok, correct split
22 Correct 73 ms 12244 KB ok, correct split
23 Correct 77 ms 12280 KB ok, correct split
24 Correct 6 ms 4984 KB ok, correct split
25 Correct 108 ms 11456 KB ok, correct split
26 Correct 42 ms 7544 KB ok, correct split
27 Correct 7 ms 4856 KB ok, correct split
28 Correct 124 ms 12928 KB ok, correct split
29 Correct 108 ms 12664 KB ok, correct split
30 Correct 132 ms 12664 KB ok, correct split
31 Correct 127 ms 13432 KB ok, correct split
32 Correct 126 ms 12768 KB ok, correct split
33 Correct 33 ms 7288 KB ok, no valid answer
34 Correct 48 ms 8440 KB ok, no valid answer
35 Correct 87 ms 12552 KB ok, no valid answer
36 Correct 95 ms 11896 KB ok, no valid answer
37 Correct 75 ms 12656 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 4988 KB ok, correct split
41 Correct 6 ms 5112 KB ok, correct split
42 Correct 6 ms 4984 KB ok, correct split
43 Correct 7 ms 5112 KB ok, correct split
44 Correct 6 ms 5112 KB ok, correct split
45 Correct 6 ms 4984 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 5116 KB ok, correct split
49 Correct 9 ms 5372 KB ok, correct split
50 Correct 6 ms 4984 KB ok, correct split
51 Correct 6 ms 4984 KB ok, correct split
52 Correct 6 ms 5112 KB ok, correct split
53 Correct 6 ms 4984 KB ok, correct split
54 Correct 6 ms 4984 KB ok, correct split
55 Correct 6 ms 4984 KB ok, correct split
56 Correct 6 ms 5112 KB ok, correct split
57 Correct 6 ms 5112 KB ok, correct split
58 Correct 8 ms 5240 KB ok, correct split
59 Correct 7 ms 5240 KB ok, correct split
60 Correct 8 ms 5240 KB ok, correct split
61 Correct 9 ms 5240 KB ok, correct split
62 Correct 8 ms 5240 KB ok, correct split
63 Correct 8 ms 5240 KB ok, correct split
64 Correct 8 ms 5240 KB ok, correct split
65 Correct 8 ms 5240 KB ok, correct split
66 Correct 6 ms 5112 KB ok, correct split
67 Correct 8 ms 5240 KB ok, correct split
68 Correct 6 ms 5112 KB ok, correct split
69 Correct 6 ms 4984 KB ok, correct split
70 Correct 6 ms 4984 KB ok, correct split
71 Correct 8 ms 5244 KB ok, correct split
72 Correct 8 ms 5240 KB ok, correct split
73 Correct 8 ms 5240 KB ok, correct split
74 Correct 10 ms 5496 KB ok, correct split
75 Correct 10 ms 5496 KB ok, correct split
76 Correct 10 ms 5496 KB ok, correct split
77 Correct 10 ms 5496 KB ok, correct split
78 Correct 8 ms 5240 KB ok, correct split
79 Incorrect 8 ms 5244 KB 2 components are not connected
80 Halted 0 ms 0 KB -