oj.uz

Submission #838064

# Submission time Handle Problem Language Result Execution time Memory
838064 2023-08-26T07:32:46 Z MohamedAhmed04 Capital City (JOI20_capital_city) C++14
100 / 100
 271 ms 62504 KB 
#include <bits/stdc++.h>

using namespace std ;

const int MAX = 2e5 + 10 ;

int arr[MAX] ;
int n , k ;

vector< vector<int> >adj(MAX) ;

int dep[MAX] , P[MAX][20] ;

void dfs(int node , int par)
{
	P[node][0] = par ;
	for(int i = 1 ; i < 20 ; ++i)
		P[node][i] = P[P[node][i-1]][i-1] ;
	for(auto &child : adj[node])
	{
		if(child == par)
			continue ;
		dep[child] = dep[node] + 1 ;
		dfs(child , node) ;
	}
}

int LCA(int x , int y)
{
	if(dep[x] < dep[y])
		swap(x , y) ;
	for(int i = 19 ; i >= 0 ; --i)
	{
		if(dep[x] - (1 << i) >= dep[y])
			x = P[x][i] ;
	}
	if(x == y)
		return x ;
	for(int i = 19 ; i >= 0 ; --i)
	{
		if(P[x][i] != P[y][i])
			x = P[x][i] , y = P[y][i] ;
	}
	return P[x][0] ;
}

int lca[MAX] ;

vector< vector<int> >adj2(MAX) , adj2R(MAX) ;
int vis[MAX] ;

vector<int>topo ;

void dfs2(int node)
{
	vis[node] = 1 ;
	for(auto &child : adj2[node])
	{
		if(vis[child])
			continue ;
		dfs2(child) ;
	}
	topo.push_back(node) ;
}

bool flag ;
int comp[MAX] , curcmp ;
int cnt ;

vector<int>v ;

void dfs2_rev(int node)
{
	vis[node] = 1 , comp[node] = curcmp , cnt++ ;
	v.push_back(node) ;
	for(auto &child : adj2R[node])
	{
		if(vis[child])
			continue ;
		dfs2_rev(child) ;
	}
}

int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>n>>k ;
	for(int i = 0 ; i < n-1 ; ++i)
	{
		int x , y ;
		cin>>x>>y ;
		adj[x].push_back(y) ;
		adj[y].push_back(x) ;
	}
	for(int i = 1 ; i <= n ; ++i)
		cin>>arr[i] ;
	dfs(1 , -1) ;
	for(int i = 1 ; i <= n ; ++i)
	{
		if(!lca[arr[i]])
			lca[arr[i]] = i ;
		else
			lca[arr[i]] = LCA(lca[arr[i]] , i) ;
	}
	for(int i = 2 ; i <= n ; ++i)
	{
		if(arr[P[i][0]] != arr[i] && lca[arr[i]] != i)
			adj2[arr[i]].push_back(arr[P[i][0]]) , adj2R[arr[P[i][0]]].push_back(arr[i]) ;
	}
	for(int i = 1 ; i <= k ; ++i)
	{
		if(!vis[i])
			dfs2(i) ;
	}
	memset(vis , 0 , sizeof(vis)) ;
	reverse(topo.begin() , topo.end()) ;
	int ans = n ;
	for(auto &node : topo)
	{
		if(vis[node])
			continue ;
		v.clear() ;
		flag = true , cnt = 0 , curcmp++ ;
		dfs2_rev(node) ;
		for(auto &node2 : v)
		{
			for(auto &child : adj2[node2])
				flag &= (comp[child] == curcmp) ;
		}
		if(flag)
			ans = min(ans , cnt-1) ;
	}
	return cout<<ans<<"\n" , 0 ;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15188 KB Output is correct
2 Correct 7 ms 15232 KB Output is correct
3 Correct 7 ms 15144 KB Output is correct
4 Correct 7 ms 15188 KB Output is correct
5 Correct 7 ms 15188 KB Output is correct
6 Correct 7 ms 15188 KB Output is correct
7 Correct 7 ms 15188 KB Output is correct
8 Correct 7 ms 15188 KB Output is correct
9 Correct 7 ms 15188 KB Output is correct
10 Correct 7 ms 15188 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15188 KB Output is correct
2 Correct 7 ms 15232 KB Output is correct
3 Correct 7 ms 15144 KB Output is correct
4 Correct 7 ms 15188 KB Output is correct
5 Correct 7 ms 15188 KB Output is correct
6 Correct 7 ms 15188 KB Output is correct
7 Correct 7 ms 15188 KB Output is correct
8 Correct 7 ms 15188 KB Output is correct
9 Correct 7 ms 15188 KB Output is correct
10 Correct 7 ms 15188 KB Output is correct
11 Correct 7 ms 15444 KB Output is correct
12 Correct 9 ms 15444 KB Output is correct
13 Correct 8 ms 15444 KB Output is correct
14 Correct 8 ms 15444 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15444 KB Output is correct
17 Correct 8 ms 15572 KB Output is correct
18 Correct 8 ms 15572 KB Output is correct
19 Correct 8 ms 15484 KB Output is correct
20 Correct 8 ms 15572 KB Output is correct
21 Correct 7 ms 15572 KB Output is correct
22 Correct 8 ms 15612 KB Output is correct
23 Correct 8 ms 15572 KB Output is correct
24 Correct 8 ms 15572 KB Output is correct
25 Correct 9 ms 15572 KB Output is correct
26 Correct 9 ms 15572 KB Output is correct
27 Correct 8 ms 15572 KB Output is correct
28 Correct 8 ms 15572 KB Output is correct
29 Correct 8 ms 15572 KB Output is correct
30 Correct 8 ms 15572 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 248 ms 62020 KB Output is correct
2 Correct 107 ms 62504 KB Output is correct
3 Correct 271 ms 61764 KB Output is correct
4 Correct 101 ms 62404 KB Output is correct
5 Correct 222 ms 58924 KB Output is correct
6 Correct 126 ms 62284 KB Output is correct
7 Correct 232 ms 58852 KB Output is correct
8 Correct 100 ms 61124 KB Output is correct
9 Correct 211 ms 56236 KB Output is correct
10 Correct 195 ms 54168 KB Output is correct
11 Correct 204 ms 56392 KB Output is correct
12 Correct 207 ms 58496 KB Output is correct
13 Correct 202 ms 53836 KB Output is correct
14 Correct 206 ms 58832 KB Output is correct
15 Correct 207 ms 58568 KB Output is correct
16 Correct 194 ms 54560 KB Output is correct
17 Correct 195 ms 55088 KB Output is correct
18 Correct 206 ms 55240 KB Output is correct
19 Correct 206 ms 57720 KB Output is correct
20 Correct 228 ms 59488 KB Output is correct
21 Correct 7 ms 15188 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 15188 KB Output is correct
2 Correct 7 ms 15232 KB Output is correct
3 Correct 7 ms 15144 KB Output is correct
4 Correct 7 ms 15188 KB Output is correct
5 Correct 7 ms 15188 KB Output is correct
6 Correct 7 ms 15188 KB Output is correct
7 Correct 7 ms 15188 KB Output is correct
8 Correct 7 ms 15188 KB Output is correct
9 Correct 7 ms 15188 KB Output is correct
10 Correct 7 ms 15188 KB Output is correct
11 Correct 7 ms 15444 KB Output is correct
12 Correct 9 ms 15444 KB Output is correct
13 Correct 8 ms 15444 KB Output is correct
14 Correct 8 ms 15444 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15444 KB Output is correct
17 Correct 8 ms 15572 KB Output is correct
18 Correct 8 ms 15572 KB Output is correct
19 Correct 8 ms 15484 KB Output is correct
20 Correct 8 ms 15572 KB Output is correct
21 Correct 7 ms 15572 KB Output is correct
22 Correct 8 ms 15612 KB Output is correct
23 Correct 8 ms 15572 KB Output is correct
24 Correct 8 ms 15572 KB Output is correct
25 Correct 9 ms 15572 KB Output is correct
26 Correct 9 ms 15572 KB Output is correct
27 Correct 8 ms 15572 KB Output is correct
28 Correct 8 ms 15572 KB Output is correct
29 Correct 8 ms 15572 KB Output is correct
30 Correct 8 ms 15572 KB Output is correct
31 Correct 248 ms 62020 KB Output is correct
32 Correct 107 ms 62504 KB Output is correct
33 Correct 271 ms 61764 KB Output is correct
34 Correct 101 ms 62404 KB Output is correct
35 Correct 222 ms 58924 KB Output is correct
36 Correct 126 ms 62284 KB Output is correct
37 Correct 232 ms 58852 KB Output is correct
38 Correct 100 ms 61124 KB Output is correct
39 Correct 211 ms 56236 KB Output is correct
40 Correct 195 ms 54168 KB Output is correct
41 Correct 204 ms 56392 KB Output is correct
42 Correct 207 ms 58496 KB Output is correct
43 Correct 202 ms 53836 KB Output is correct
44 Correct 206 ms 58832 KB Output is correct
45 Correct 207 ms 58568 KB Output is correct
46 Correct 194 ms 54560 KB Output is correct
47 Correct 195 ms 55088 KB Output is correct
48 Correct 206 ms 55240 KB Output is correct
49 Correct 206 ms 57720 KB Output is correct
50 Correct 228 ms 59488 KB Output is correct
51 Correct 7 ms 15188 KB Output is correct
52 Correct 177 ms 46540 KB Output is correct
53 Correct 160 ms 46584 KB Output is correct
54 Correct 187 ms 46564 KB Output is correct
55 Correct 158 ms 46596 KB Output is correct
56 Correct 165 ms 46544 KB Output is correct
57 Correct 167 ms 46540 KB Output is correct
58 Correct 197 ms 50048 KB Output is correct
59 Correct 221 ms 50700 KB Output is correct
60 Correct 220 ms 49492 KB Output is correct
61 Correct 205 ms 49260 KB Output is correct
62 Correct 98 ms 62332 KB Output is correct
63 Correct 98 ms 62368 KB Output is correct
64 Correct 98 ms 61404 KB Output is correct
65 Correct 102 ms 62316 KB Output is correct
66 Correct 167 ms 51780 KB Output is correct
67 Correct 159 ms 51692 KB Output is correct
68 Correct 183 ms 51776 KB Output is correct
69 Correct 179 ms 51892 KB Output is correct
70 Correct 164 ms 51724 KB Output is correct
71 Correct 166 ms 51780 KB Output is correct
72 Correct 164 ms 51700 KB Output is correct
73 Correct 162 ms 51100 KB Output is correct
74 Correct 177 ms 51872 KB Output is correct
75 Correct 163 ms 51792 KB Output is correct
76 Correct 193 ms 54388 KB Output is correct
77 Correct 190 ms 52876 KB Output is correct
78 Correct 218 ms 54976 KB Output is correct
79 Correct 212 ms 53320 KB Output is correct
80 Correct 218 ms 59044 KB Output is correct
81 Correct 207 ms 56292 KB Output is correct
82 Correct 219 ms 56376 KB Output is correct
83 Correct 210 ms 53644 KB Output is correct
84 Correct 205 ms 58352 KB Output is correct
85 Correct 202 ms 57032 KB Output is correct
86 Correct 209 ms 53308 KB Output is correct
87 Correct 223 ms 54776 KB Output is correct
88 Correct 218 ms 55192 KB Output is correct
89 Correct 215 ms 51944 KB Output is correct
90 Correct 198 ms 51872 KB Output is correct
91 Correct 225 ms 53740 KB Output is correct
92 Correct 202 ms 52604 KB Output is correct
93 Correct 232 ms 52360 KB Output is correct
94 Correct 205 ms 51824 KB Output is correct
95 Correct 196 ms 53068 KB Output is correct
96 Correct 206 ms 52168 KB Output is correct
97 Correct 213 ms 53640 KB Output is correct