oj.uz

Submission #143913

# Submission time Handle Problem Language Result Execution time Memory
143913 2019-08-15T12:46:41 Z joseacaz Split the Attractions (IOI19_split) C++17
40 / 100
 156 ms 17280 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 );
	else
		return;
	
	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 ( auto i : MST[centroid] )
	{
		if ( total[look(i)] >= part[0].first )
		{
			dfs ( i );
			paint ( centroid, -1, 0 );
			return ans;
		}
	}
	for ( auto &i : ans )
		i = 0;
	return ans;
}

Subtask #1
7.0 / 7.0

# 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 6 ms 4988 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 6 ms 5112 KB ok, correct split
7 Correct 125 ms 17272 KB ok, correct split
8 Correct 129 ms 15480 KB ok, correct split
9 Correct 117 ms 14912 KB ok, correct split
10 Correct 156 ms 17280 KB ok, correct split
11 Correct 129 ms 16380 KB ok, correct split

Subtask #2
11.0 / 11.0

# 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 5112 KB ok, correct split
4 Correct 131 ms 12096 KB ok, correct split
5 Correct 99 ms 11384 KB ok, correct split
6 Correct 145 ms 17276 KB ok, correct split
7 Correct 107 ms 15224 KB ok, correct split
8 Correct 140 ms 12792 KB ok, correct split
9 Correct 114 ms 11384 KB ok, correct split
10 Correct 70 ms 11636 KB ok, correct split
11 Correct 70 ms 11640 KB ok, correct split
12 Correct 74 ms 11760 KB ok, correct split

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 100 ms 11908 KB ok, correct split
3 Correct 38 ms 7672 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 104 ms 13688 KB ok, correct split
6 Correct 123 ms 13560 KB ok, correct split
7 Correct 145 ms 13652 KB ok, correct split
8 Correct 139 ms 14564 KB ok, correct split
9 Correct 131 ms 13588 KB ok, correct split
10 Correct 33 ms 7416 KB ok, no valid answer
11 Correct 47 ms 8568 KB ok, no valid answer
12 Correct 88 ms 12408 KB ok, no valid answer
13 Correct 131 ms 12252 KB ok, no valid answer
14 Correct 80 ms 12400 KB ok, no valid answer

Subtask #4
0 / 24.0

# 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 4984 KB ok, correct split
4 Correct 6 ms 4984 KB ok, correct split
5 Correct 6 ms 4956 KB ok, correct split
6 Correct 6 ms 4984 KB ok, correct split
7 Correct 6 ms 4984 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 5288 KB ok, correct split
11 Correct 6 ms 5120 KB ok, correct split
12 Incorrect 9 ms 5240 KB invalid split: #1=800, #2=1601, #3=0
13 Halted 0 ms 0 KB -

Subtask #5
0 / 36.0

# 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 6 ms 4988 KB ok, correct split
5 Correct 6 ms 4984 KB ok, correct split
6 Correct 6 ms 5112 KB ok, correct split
7 Correct 125 ms 17272 KB ok, correct split
8 Correct 129 ms 15480 KB ok, correct split
9 Correct 117 ms 14912 KB ok, correct split
10 Correct 156 ms 17280 KB ok, correct split
11 Correct 129 ms 16380 KB ok, correct split
12 Correct 6 ms 5112 KB ok, correct split
13 Correct 6 ms 4984 KB ok, correct split
14 Correct 6 ms 5112 KB ok, correct split
15 Correct 131 ms 12096 KB ok, correct split
16 Correct 99 ms 11384 KB ok, correct split
17 Correct 145 ms 17276 KB ok, correct split
18 Correct 107 ms 15224 KB ok, correct split
19 Correct 140 ms 12792 KB ok, correct split
20 Correct 114 ms 11384 KB ok, correct split
21 Correct 70 ms 11636 KB ok, correct split
22 Correct 70 ms 11640 KB ok, correct split
23 Correct 74 ms 11760 KB ok, correct split
24 Correct 6 ms 4984 KB ok, correct split
25 Correct 100 ms 11908 KB ok, correct split
26 Correct 38 ms 7672 KB ok, correct split
27 Correct 6 ms 4984 KB ok, correct split
28 Correct 104 ms 13688 KB ok, correct split
29 Correct 123 ms 13560 KB ok, correct split
30 Correct 145 ms 13652 KB ok, correct split
31 Correct 139 ms 14564 KB ok, correct split
32 Correct 131 ms 13588 KB ok, correct split
33 Correct 33 ms 7416 KB ok, no valid answer
34 Correct 47 ms 8568 KB ok, no valid answer
35 Correct 88 ms 12408 KB ok, no valid answer
36 Correct 131 ms 12252 KB ok, no valid answer
37 Correct 80 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 6 ms 4984 KB ok, correct split
42 Correct 6 ms 4956 KB ok, correct split
43 Correct 6 ms 4984 KB ok, correct split
44 Correct 6 ms 4984 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 5288 KB ok, correct split
48 Correct 6 ms 5120 KB ok, correct split
49 Incorrect 9 ms 5240 KB invalid split: #1=800, #2=1601, #3=0
50 Halted 0 ms 0 KB -