Submission #143952

# Submission time Handle Problem Language Result Execution time Memory
143952 2019-08-15T13:33:30 Z joseacaz Split the Attractions (IOI19_split) C++17
40 / 100
150 ms 17272 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], sum;
vi MST[MAXN], Graph[MAXN], ans, TP;
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 check ( int node, int p = -1 )
{
	sum += sz[node];
	TP.push_back ( node );
	if ( sum >= part[0].first )
		return;
	
	for ( auto i : Graph[node] )
		if ( i != p )
			check ( 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] )
	{
		sum = 0;
		TP.clear();
		check ( i );
		if ( sum >= part[0].first )
		{
			for ( auto j : TP )
				paint ( j, centroid, 0 );
			paint ( centroid, -1, 1 );
			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 6 ms 4984 KB ok, correct split
3 Correct 6 ms 4988 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 144 ms 17272 KB ok, correct split
8 Correct 150 ms 15496 KB ok, correct split
9 Correct 125 ms 14840 KB ok, correct split
10 Correct 137 ms 17272 KB ok, correct split
11 Correct 139 ms 16248 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 133 ms 12172 KB ok, correct split
5 Correct 122 ms 11464 KB ok, correct split
6 Correct 134 ms 17272 KB ok, correct split
7 Correct 119 ms 15324 KB ok, correct split
8 Correct 149 ms 12792 KB ok, correct split
9 Correct 133 ms 11512 KB ok, correct split
10 Correct 69 ms 11632 KB ok, correct split
11 Correct 69 ms 11632 KB ok, correct split
12 Correct 75 ms 11632 KB ok, correct split
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4984 KB ok, correct split
2 Correct 136 ms 11768 KB ok, correct split
3 Correct 39 ms 7800 KB ok, correct split
4 Correct 6 ms 5112 KB ok, correct split
5 Correct 122 ms 13816 KB ok, correct split
6 Correct 102 ms 13560 KB ok, correct split
7 Correct 112 ms 13560 KB ok, correct split
8 Correct 127 ms 14532 KB ok, correct split
9 Correct 141 ms 13560 KB ok, correct split
10 Correct 34 ms 7336 KB ok, no valid answer
11 Correct 49 ms 8440 KB ok, no valid answer
12 Correct 90 ms 11992 KB ok, no valid answer
13 Correct 100 ms 11884 KB ok, no valid answer
14 Correct 81 ms 12144 KB ok, no valid answer
# Verdict Execution time Memory Grader output
1 Correct 6 ms 4984 KB ok, correct split
2 Correct 7 ms 5112 KB ok, no valid answer
3 Correct 6 ms 5112 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 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 9 ms 5240 KB ok, correct split
11 Correct 6 ms 4984 KB ok, correct split
12 Correct 9 ms 5240 KB ok, correct split
13 Correct 6 ms 4984 KB ok, correct split
14 Correct 6 ms 4984 KB ok, correct split
15 Correct 7 ms 4984 KB ok, correct split
16 Correct 6 ms 4984 KB ok, correct split
17 Correct 6 ms 4988 KB ok, correct split
18 Correct 6 ms 4984 KB ok, correct split
19 Correct 6 ms 5112 KB ok, correct split
20 Correct 7 ms 5112 KB ok, correct split
21 Correct 8 ms 5244 KB ok, correct split
22 Correct 8 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 1 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 5084 KB ok, correct split
30 Correct 8 ms 5240 KB ok, correct split
31 Correct 7 ms 5112 KB ok, correct split
32 Correct 6 ms 4984 KB ok, correct split
33 Correct 6 ms 5112 KB ok, correct split
34 Correct 8 ms 5240 KB ok, correct split
35 Correct 8 ms 5240 KB ok, correct split
36 Correct 8 ms 5240 KB ok, correct split
37 Correct 8 ms 5240 KB ok, correct split
38 Correct 9 ms 5368 KB ok, correct split
39 Correct 9 ms 5240 KB ok, correct split
40 Incorrect 9 ms 5240 KB 2 components are not connected
41 Halted 0 ms 0 KB -
# 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 4988 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 144 ms 17272 KB ok, correct split
8 Correct 150 ms 15496 KB ok, correct split
9 Correct 125 ms 14840 KB ok, correct split
10 Correct 137 ms 17272 KB ok, correct split
11 Correct 139 ms 16248 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 133 ms 12172 KB ok, correct split
16 Correct 122 ms 11464 KB ok, correct split
17 Correct 134 ms 17272 KB ok, correct split
18 Correct 119 ms 15324 KB ok, correct split
19 Correct 149 ms 12792 KB ok, correct split
20 Correct 133 ms 11512 KB ok, correct split
21 Correct 69 ms 11632 KB ok, correct split
22 Correct 69 ms 11632 KB ok, correct split
23 Correct 75 ms 11632 KB ok, correct split
24 Correct 7 ms 4984 KB ok, correct split
25 Correct 136 ms 11768 KB ok, correct split
26 Correct 39 ms 7800 KB ok, correct split
27 Correct 6 ms 5112 KB ok, correct split
28 Correct 122 ms 13816 KB ok, correct split
29 Correct 102 ms 13560 KB ok, correct split
30 Correct 112 ms 13560 KB ok, correct split
31 Correct 127 ms 14532 KB ok, correct split
32 Correct 141 ms 13560 KB ok, correct split
33 Correct 34 ms 7336 KB ok, no valid answer
34 Correct 49 ms 8440 KB ok, no valid answer
35 Correct 90 ms 11992 KB ok, no valid answer
36 Correct 100 ms 11884 KB ok, no valid answer
37 Correct 81 ms 12144 KB ok, no valid answer
38 Correct 6 ms 4984 KB ok, correct split
39 Correct 7 ms 5112 KB ok, no valid answer
40 Correct 6 ms 5112 KB ok, correct split
41 Correct 6 ms 4984 KB ok, correct split
42 Correct 6 ms 4984 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 9 ms 5240 KB ok, correct split
48 Correct 6 ms 4984 KB ok, correct split
49 Correct 9 ms 5240 KB ok, correct split
50 Correct 6 ms 4984 KB ok, correct split
51 Correct 6 ms 4984 KB ok, correct split
52 Correct 7 ms 4984 KB ok, correct split
53 Correct 6 ms 4984 KB ok, correct split
54 Correct 6 ms 4988 KB ok, correct split
55 Correct 6 ms 4984 KB ok, correct split
56 Correct 6 ms 5112 KB ok, correct split
57 Correct 7 ms 5112 KB ok, correct split
58 Correct 8 ms 5244 KB ok, correct split
59 Correct 8 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 1 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 5084 KB ok, correct split
67 Correct 8 ms 5240 KB ok, correct split
68 Correct 7 ms 5112 KB ok, correct split
69 Correct 6 ms 4984 KB ok, correct split
70 Correct 6 ms 5112 KB ok, correct split
71 Correct 8 ms 5240 KB ok, correct split
72 Correct 8 ms 5240 KB ok, correct split
73 Correct 8 ms 5240 KB ok, correct split
74 Correct 8 ms 5240 KB ok, correct split
75 Correct 9 ms 5368 KB ok, correct split
76 Correct 9 ms 5240 KB ok, correct split
77 Incorrect 9 ms 5240 KB 2 components are not connected
78 Halted 0 ms 0 KB -