oj.uz

Submission #404185

# Submission time Handle Problem Language Result Execution time Memory
404185 2021-05-13T23:27:56 Z CaroLinda Toy Train (IOI17_train) C++14
100 / 100
 1525 ms 2124 KB 
#include "train.h"
#include <bits/stdc++.h>

#define pb push_back
#define sz(x) (int)(x.size())
#define all(x) x.begin(),x.end()
#define ll long long
#define ff first
#define ss second
#define pii pair<int,int>
#define mk make_pair
#define lp(i,a,b) for(int i = a ; i< b ; i++)

const int MAXN = 5010 ;

using namespace std; 

int N , M ;
bool is_a[MAXN] , is_charger[MAXN] ;
vector<int> good_for_a , good_for_b ;
bool marc[MAXN] ;
vector<int> adj[MAXN] , revAdj[MAXN] ;
vector<int> List ;
vector< vector<int> > components ;
int deg[MAXN] ;

void dfs1(int x)
{
	marc[x] = true ;

	for(auto e : adj[x] )
		if(!marc[e] ) dfs1(e) ;

	List.push_back(x) ;
}

void dfs2(int x)
{
	marc[x] = true ;
	components.back().pb(x) ;

	for(auto e : revAdj[x])
		if(!marc[e]) dfs2(e) ;
}

void goUpwards(vector<int> v)
{

	int ini = 0 ;

	while(ini < sz(v) )
	{
		int x = v[ini++] ;

		for(auto e : revAdj[x])
		{
			bool k = good_for_a[e]|good_for_b[e] ;

			if(!k && is_a[e] == good_for_a[x] )
			{
				if(is_a[e]) good_for_a[e] = true ;
				else good_for_b[e] = true ;

				v.pb(e) ;
			}
			else if(!k && sz(adj[e]) == 1 )
			{
				if(is_a[e]) good_for_b[e] = true ;
				else good_for_a[e] = true ;

				v.pb(e) ;
			}

			for(int i = 0 ; i < sz(adj[e]) ; i++ )
			{
				if( adj[e][i] != x ) continue ;
				swap(adj[e][i] , adj[e].back() ) ;
				adj[e].pop_back() ;
				break ;
			}
		}

		revAdj[x].clear() ;

		for(auto e : adj[x] )
			for(int i= 0 ; i < sz(revAdj[e]) ; i++ )
			{
				if( revAdj[e][i] != x ) continue ;
				swap(revAdj[e][i] , revAdj[e].back() ) ;
				revAdj[e].pop_back() ;
				break ;
			}

		adj[x].clear() ;
	}

//	for(auto e : v ) cout << e <<" " << good_for_a[e] << endl ;
}

bool solve()
{

	components.clear() ;
	List.clear() ;

	for(int i = 0 ; i < N ; i++ ) marc[i] = good_for_a[i]|good_for_b[i] ;

	for(int i = 0 ; i < N ; i++ )
	{
		if(marc[i]) continue ;

		deg[i] = 0 ;

		for(int j : adj[i] ) 
			if( !marc[j] ) deg[i]++ ;

		if(is_a[i]) deg[i] = 1 ;
	}

	for(int i = 0 ; i < N ; i++ )
		if(!marc[i]) dfs1(i) ;

	if( List.empty() ) return false ;

	for(int i : List ) marc[i] = false ;
	for(int i = sz(List)-1 ; i >= 0 ; i-- )
	{
		if(marc[List[i]]) continue ;

		components.push_back(vector<int>()) ;
		dfs2(List[i]) ;
	}

	for(int i : List ) marc[i] = false ;
	for(int i = 0 ; i < sz(components)-1 ; i++ )
		for(auto e : components[i] ) marc[e] = true ;

	for(auto e : components.back() )
	{
		if( !is_charger[e] ) continue ;

		vector<int> fila = {e} ;
		marc[e] = true ;
		int ini = 0 ;

		while( ini < sz(fila) )	
		{
			int x = fila[ini++] ;

			for(auto e : revAdj[x] )
			{
				if( marc[e] || is_charger[e] ) continue ;
				if( (--deg[e]) ) continue ;
				fila.pb( e ) ;
				marc[e] = true ;				
			}
		}	

	}

	vector<int> aux ;

	for(int i = 0 ; i < N ; i++ )
		if( !marc[i] ) aux.pb(i) ;

	if(aux.empty())
	{
		for(auto e : components.back()) good_for_a[e] = true ;
		goUpwards(components.back()) ;
		return true ;
	}

	//for(auto e : aux ) cout << e <<" " ;
	//cout << endl ;

	List.clear() ;
	components.clear() ;

	for(auto e : aux )
		if(!marc[e]) dfs1(e) ;

	for(int i : aux ) marc[i] = false ;
	for(int i = sz(List)-1 ; i >= 0 ; i-- )
	{
		if( marc[ List[i] ] ) continue ;

		components.pb(vector<int>()) ;
		dfs2(List[i]) ;
	}

	for(auto e : aux ) marc[e] = false ;
	for(int i = 0 ; i < sz(components) ; i++ )
	{
		bool cool = false ;

		for(auto e : components[i] ) marc[e] = true ;

		for(auto e : components[i] )
			for( auto ee : adj[e] )
				cool |= !marc[ee] ;

		for(auto e : components[i] ) marc[e] = true ;			

		if(cool) continue ;

		if( sz(components[i]) == 1 )
		{
			for(auto e : adj[components[i][0]]) cool |= (e == components[i][0] ) ;
			cool = !cool ;
		}

		if(cool) continue ;


		//I'm a leaf and a cycle
		for(auto e : components[i]) good_for_b[e] = true ;
		goUpwards(components[i]) ;
		return true ;
	}	

	return true ;
}

vector<int> who_wins( vector<int> a, vector<int> r, vector<int> u, vector<int> v) 
{
	N = sz(a) ;
	M = sz(u) ;

	good_for_a.resize( N , 0 ) ;
	good_for_b.resize( N , 0 ) ;

	lp(i,0,N) is_a[i] = a[i] ;
	lp(i,0,N) is_charger[i] = r[i] ;	
	lp(i,0,M)
	{
		adj[ u[i] ].pb( v[i] ) ;
		revAdj[ v[i] ].pb(u[i]) ;
	}

	while(solve()) {}

	return good_for_a ;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 233 ms 1740 KB Output is correct
2 Correct 247 ms 1616 KB Output is correct
3 Correct 274 ms 1612 KB Output is correct
4 Correct 241 ms 1584 KB Output is correct
5 Correct 268 ms 1484 KB Output is correct
6 Correct 316 ms 1488 KB Output is correct
7 Correct 152 ms 1484 KB Output is correct
8 Correct 132 ms 1552 KB Output is correct
9 Correct 448 ms 1528 KB Output is correct
10 Correct 669 ms 1516 KB Output is correct
11 Correct 1193 ms 1500 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 1 ms 460 KB Output is correct
3 Correct 1 ms 460 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 540 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 588 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 246 ms 2124 KB Output is correct
2 Correct 417 ms 1992 KB Output is correct
3 Correct 501 ms 1964 KB Output is correct
4 Correct 12 ms 1836 KB Output is correct
5 Correct 18 ms 1940 KB Output is correct
6 Correct 20 ms 1704 KB Output is correct
7 Correct 11 ms 1616 KB Output is correct
8 Correct 13 ms 1612 KB Output is correct
9 Correct 24 ms 1580 KB Output is correct
10 Correct 21 ms 1688 KB Output is correct
11 Correct 78 ms 1552 KB Output is correct
12 Correct 1525 ms 1868 KB Output is correct
13 Correct 11 ms 1868 KB Output is correct
14 Correct 11 ms 1908 KB Output is correct
15 Correct 12 ms 1836 KB Output is correct
16 Correct 11 ms 1832 KB Output is correct
17 Correct 11 ms 1868 KB Output is correct
18 Correct 856 ms 1680 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 1612 KB Output is correct
2 Correct 10 ms 1832 KB Output is correct
3 Correct 15 ms 1772 KB Output is correct
4 Correct 12 ms 1740 KB Output is correct
5 Correct 14 ms 1656 KB Output is correct
6 Correct 19 ms 1676 KB Output is correct
7 Correct 28 ms 1652 KB Output is correct
8 Correct 11 ms 1612 KB Output is correct
9 Correct 1079 ms 1884 KB Output is correct
10 Correct 12 ms 1904 KB Output is correct
11 Correct 12 ms 1868 KB Output is correct
12 Correct 11 ms 1868 KB Output is correct
13 Correct 12 ms 1856 KB Output is correct
14 Correct 11 ms 1716 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 1752 KB Output is correct
2 Correct 12 ms 1868 KB Output is correct
3 Correct 13 ms 1764 KB Output is correct
4 Correct 14 ms 1740 KB Output is correct
5 Correct 2 ms 588 KB Output is correct
6 Correct 6 ms 1356 KB Output is correct
7 Correct 7 ms 1192 KB Output is correct
8 Correct 7 ms 1228 KB Output is correct
9 Correct 7 ms 1312 KB Output is correct
10 Correct 3 ms 716 KB Output is correct
11 Correct 7 ms 1228 KB Output is correct

Subtask #6
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 233 ms 1740 KB Output is correct
2 Correct 247 ms 1616 KB Output is correct
3 Correct 274 ms 1612 KB Output is correct
4 Correct 241 ms 1584 KB Output is correct
5 Correct 268 ms 1484 KB Output is correct
6 Correct 316 ms 1488 KB Output is correct
7 Correct 152 ms 1484 KB Output is correct
8 Correct 132 ms 1552 KB Output is correct
9 Correct 448 ms 1528 KB Output is correct
10 Correct 669 ms 1516 KB Output is correct
11 Correct 1193 ms 1500 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 540 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 588 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 1 ms 460 KB Output is correct
24 Correct 1 ms 460 KB Output is correct
25 Correct 1 ms 460 KB Output is correct
26 Correct 1 ms 460 KB Output is correct
27 Correct 1 ms 460 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 1 ms 460 KB Output is correct
30 Correct 1 ms 460 KB Output is correct
31 Correct 1 ms 460 KB Output is correct
32 Correct 246 ms 2124 KB Output is correct
33 Correct 417 ms 1992 KB Output is correct
34 Correct 501 ms 1964 KB Output is correct
35 Correct 12 ms 1836 KB Output is correct
36 Correct 18 ms 1940 KB Output is correct
37 Correct 20 ms 1704 KB Output is correct
38 Correct 11 ms 1616 KB Output is correct
39 Correct 13 ms 1612 KB Output is correct
40 Correct 24 ms 1580 KB Output is correct
41 Correct 21 ms 1688 KB Output is correct
42 Correct 78 ms 1552 KB Output is correct
43 Correct 1525 ms 1868 KB Output is correct
44 Correct 11 ms 1868 KB Output is correct
45 Correct 11 ms 1908 KB Output is correct
46 Correct 12 ms 1836 KB Output is correct
47 Correct 11 ms 1832 KB Output is correct
48 Correct 11 ms 1868 KB Output is correct
49 Correct 856 ms 1680 KB Output is correct
50 Correct 10 ms 1612 KB Output is correct
51 Correct 10 ms 1832 KB Output is correct
52 Correct 15 ms 1772 KB Output is correct
53 Correct 12 ms 1740 KB Output is correct
54 Correct 14 ms 1656 KB Output is correct
55 Correct 19 ms 1676 KB Output is correct
56 Correct 28 ms 1652 KB Output is correct
57 Correct 11 ms 1612 KB Output is correct
58 Correct 1079 ms 1884 KB Output is correct
59 Correct 12 ms 1904 KB Output is correct
60 Correct 12 ms 1868 KB Output is correct
61 Correct 11 ms 1868 KB Output is correct
62 Correct 12 ms 1856 KB Output is correct
63 Correct 11 ms 1716 KB Output is correct
64 Correct 16 ms 1752 KB Output is correct
65 Correct 12 ms 1868 KB Output is correct
66 Correct 13 ms 1764 KB Output is correct
67 Correct 14 ms 1740 KB Output is correct
68 Correct 2 ms 588 KB Output is correct
69 Correct 6 ms 1356 KB Output is correct
70 Correct 7 ms 1192 KB Output is correct
71 Correct 7 ms 1228 KB Output is correct
72 Correct 7 ms 1312 KB Output is correct
73 Correct 3 ms 716 KB Output is correct
74 Correct 7 ms 1228 KB Output is correct
75 Correct 358 ms 2048 KB Output is correct
76 Correct 416 ms 2000 KB Output is correct
77 Correct 504 ms 1956 KB Output is correct
78 Correct 513 ms 1956 KB Output is correct
79 Correct 498 ms 1952 KB Output is correct
80 Correct 12 ms 1868 KB Output is correct
81 Correct 13 ms 1740 KB Output is correct
82 Correct 15 ms 1820 KB Output is correct
83 Correct 15 ms 1708 KB Output is correct
84 Correct 17 ms 1732 KB Output is correct
85 Correct 12 ms 1708 KB Output is correct
86 Correct 18 ms 1708 KB Output is correct
87 Correct 13 ms 1668 KB Output is correct
88 Correct 23 ms 1840 KB Output is correct
89 Correct 14 ms 1740 KB Output is correct
90 Correct 39 ms 1744 KB Output is correct
91 Correct 34 ms 1796 KB Output is correct
92 Correct 101 ms 1828 KB Output is correct
93 Correct 45 ms 1740 KB Output is correct
94 Correct 65 ms 1840 KB Output is correct
95 Correct 73 ms 1844 KB Output is correct
96 Correct 164 ms 1700 KB Output is correct
97 Correct 704 ms 1824 KB Output is correct
98 Correct 779 ms 1860 KB Output is correct
99 Correct 833 ms 1860 KB Output is correct
100 Correct 833 ms 1680 KB Output is correct