#include<bits/stdc++.h>
using namespace std ;
#define ll long long
#define maxn 200009
#define fi first
#define se second
#define pb push_back
#define left id<<1
#define right id<<1|1
#define re exit(0);
#define _lower(v,x) lower_bound(v.begin(),v.end(),x)-v.begin()+1
const int mod = 1e9+7 ;
const int INF = 1e9 ;
const int LOG = 18 ;
typedef vector<int> vi ;
typedef pair<int,int> pii ;
typedef vector<ll> vl ;
typedef vector<pii> vii ;
void add ( int &a , int b )
{
a += b ;
if ( a < 0 ) a += mod ;
if ( a >= mod ) a -= mod ;
}
template < typename T > void chkmin ( T &a , T b ) { if ( a > b ) a = b ; }
template < typename T > void chkmax ( T &a , T b ) { if ( a < b ) a = b ; }
void rf ()
{
freopen ("bai1.inp","r",stdin) ;
// freopen ("bai1.out","w",stdout) ;
}
int _pow ( int a , int n )
{
if ( n == 0 ) return 1 ;
int res = _pow (a,n/2) ;
if ( n % 2 ) return 1ll*res*res%mod*a%mod ;
else return 1ll*res*res%mod ;
}
int n , k ;
int colour [maxn] , num_colour [maxn] ;
vi adjList [maxn] ;
vi _adjList [maxn] ;
void add_edge ( int u , int v )
{
_adjList [u] . pb (v) ;
}
int sz [maxn] , bigChild [maxn] , ver [maxn] ;
int tin [maxn] , tout [maxn] , timeDfs ;
void dfs ( int u = 1 , int par = 1 )
{
tin [u] = ++ timeDfs ;
ver [timeDfs] = u ;
sz [u] = 1 ; bigChild [u] = - 1 ;
for ( auto v : adjList [u] )
{
if ( v == par ) continue ;
dfs (v,u) ;
sz [u] += sz [v] ;
if ( bigChild[u] == - 1 || sz[bigChild[u]] < sz [v] ) bigChild [u] = v ;
}
tout [u] = timeDfs ;
}
int cnt [maxn] ;
void add_colour ( int x , int y )
{
cnt [x] += y ;
}
void dsu_on_tree ( int u = 1 , int par = 1 , bool keep = true )
{
for ( auto v : adjList [u] )
{
if ( v != par && v != bigChild[u] ) dsu_on_tree (v,u,false) ;
}
if ( bigChild [u] != -1 ) dsu_on_tree (bigChild[u],u,true) ;
for ( auto v : adjList [u] )
{
if ( v == par || v == bigChild[u] ) continue ;
for ( int i = tin [v] ; i <= tout [v] ; i ++ ) add_colour (colour[ver[i]],1) ;
}
add_colour (colour[u],1) ;
if ( cnt[colour[u]] != num_colour [colour[u]] && u != 1 ) add_edge (colour[u],colour[par]) ;
if ( !keep )
{
for ( int i = tin [u] ; i <= tout [u] ; i ++ ) add_colour (colour[ver[i]],-1) ;
}
}
int low [maxn] , num [maxn] ;
int sz_gr [maxn] , gr [maxn] , num_gr ; stack <int> stk ;
void tarjan ( int u , int par = -1 )
{
stk . push (u) ;
low [u] = num [u] = ++ timeDfs ;
for ( auto v : adjList [u] )
{
if ( !num[v] )
{
tarjan (v,u) ;
chkmin (low[u],low[v]) ;
}
else chkmin (low[u],num[v]) ;
}
if ( low [u] == num [u] )
{
num_gr ++ ;
while ( true )
{
int v = stk.top() ; stk.pop() ;
gr [v] = num_gr ; sz_gr [num_gr] ++ ;
num [v] = low [v] = INF ;
if ( u == v ) break ;
}
}
}
int deg [maxn] ;
void get_answer ()
{
timeDfs = 0 ;
for ( int i = 1 ; i <= k ; i ++ )
{
adjList [i] = _adjList [i] , _adjList [i].clear () ;
sort (adjList[i].begin(),adjList[i].end()) ;
adjList[i].resize(unique(adjList[i].begin(),adjList[i].end())-adjList[i].begin()) ;
}
for ( int i = 1 ; i <= k ; i ++ ) if ( !num[i] ) tarjan (i) ;
for ( int i = 1 ; i <= k ; i ++ )
{
for ( auto x : adjList [i] )
{
int u = gr [x] , v = gr [i] ;
if ( u != v ) deg [v] ++ ;
}
}
int res = INF ;
for ( int i = 1 ; i <= num_gr ; i ++ ) if ( ! deg [i] ) res = min (res,sz_gr [i]) ;
cout << res - 1 ;
}
int main ()
{
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0) ;
// rf () ;
cin >> n >> k ;
for ( int i = 1 ; i < n ; i ++ )
{
int u , v ; cin >> u >> v ;
adjList [u] . pb (v) ;
adjList [v] . pb (u) ;
}
for ( int i = 1 ; i <= n ; i ++ ) cin >> colour [i] , num_colour [colour[i]] ++ ;
dfs () ;
dsu_on_tree () ;
get_answer () ;
}
Compilation message
capital_city.cpp: In function 'void rf()':
capital_city.cpp:34:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
34 | freopen ("bai1.inp","r",stdin) ;
| ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14680 KB |
Output is correct |
2 |
Correct |
4 ms |
14868 KB |
Output is correct |
3 |
Correct |
3 ms |
14684 KB |
Output is correct |
4 |
Correct |
3 ms |
14680 KB |
Output is correct |
5 |
Correct |
3 ms |
14684 KB |
Output is correct |
6 |
Correct |
4 ms |
14684 KB |
Output is correct |
7 |
Correct |
3 ms |
14684 KB |
Output is correct |
8 |
Correct |
3 ms |
14684 KB |
Output is correct |
9 |
Correct |
3 ms |
14684 KB |
Output is correct |
10 |
Correct |
3 ms |
14684 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14680 KB |
Output is correct |
2 |
Correct |
4 ms |
14868 KB |
Output is correct |
3 |
Correct |
3 ms |
14684 KB |
Output is correct |
4 |
Correct |
3 ms |
14680 KB |
Output is correct |
5 |
Correct |
3 ms |
14684 KB |
Output is correct |
6 |
Correct |
4 ms |
14684 KB |
Output is correct |
7 |
Correct |
3 ms |
14684 KB |
Output is correct |
8 |
Correct |
3 ms |
14684 KB |
Output is correct |
9 |
Correct |
3 ms |
14684 KB |
Output is correct |
10 |
Correct |
3 ms |
14684 KB |
Output is correct |
11 |
Correct |
4 ms |
14936 KB |
Output is correct |
12 |
Correct |
3 ms |
14940 KB |
Output is correct |
13 |
Correct |
4 ms |
14940 KB |
Output is correct |
14 |
Correct |
4 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
14940 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
14940 KB |
Output is correct |
18 |
Correct |
3 ms |
14936 KB |
Output is correct |
19 |
Correct |
3 ms |
14940 KB |
Output is correct |
20 |
Correct |
4 ms |
14940 KB |
Output is correct |
21 |
Correct |
4 ms |
15092 KB |
Output is correct |
22 |
Correct |
4 ms |
15196 KB |
Output is correct |
23 |
Correct |
3 ms |
14940 KB |
Output is correct |
24 |
Correct |
4 ms |
14936 KB |
Output is correct |
25 |
Correct |
4 ms |
14940 KB |
Output is correct |
26 |
Correct |
4 ms |
14968 KB |
Output is correct |
27 |
Correct |
3 ms |
14936 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
4 ms |
14940 KB |
Output is correct |
30 |
Correct |
4 ms |
14940 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
145 ms |
49832 KB |
Output is correct |
2 |
Correct |
78 ms |
50304 KB |
Output is correct |
3 |
Correct |
139 ms |
49488 KB |
Output is correct |
4 |
Correct |
76 ms |
50364 KB |
Output is correct |
5 |
Correct |
141 ms |
46060 KB |
Output is correct |
6 |
Correct |
80 ms |
50368 KB |
Output is correct |
7 |
Correct |
122 ms |
46204 KB |
Output is correct |
8 |
Correct |
77 ms |
49876 KB |
Output is correct |
9 |
Correct |
129 ms |
44156 KB |
Output is correct |
10 |
Correct |
144 ms |
41044 KB |
Output is correct |
11 |
Correct |
120 ms |
44484 KB |
Output is correct |
12 |
Correct |
144 ms |
47508 KB |
Output is correct |
13 |
Correct |
138 ms |
40388 KB |
Output is correct |
14 |
Correct |
117 ms |
47952 KB |
Output is correct |
15 |
Correct |
116 ms |
47584 KB |
Output is correct |
16 |
Correct |
117 ms |
41556 KB |
Output is correct |
17 |
Correct |
137 ms |
42588 KB |
Output is correct |
18 |
Correct |
138 ms |
42344 KB |
Output is correct |
19 |
Correct |
123 ms |
46180 KB |
Output is correct |
20 |
Correct |
139 ms |
48976 KB |
Output is correct |
21 |
Correct |
3 ms |
14680 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14680 KB |
Output is correct |
2 |
Correct |
4 ms |
14868 KB |
Output is correct |
3 |
Correct |
3 ms |
14684 KB |
Output is correct |
4 |
Correct |
3 ms |
14680 KB |
Output is correct |
5 |
Correct |
3 ms |
14684 KB |
Output is correct |
6 |
Correct |
4 ms |
14684 KB |
Output is correct |
7 |
Correct |
3 ms |
14684 KB |
Output is correct |
8 |
Correct |
3 ms |
14684 KB |
Output is correct |
9 |
Correct |
3 ms |
14684 KB |
Output is correct |
10 |
Correct |
3 ms |
14684 KB |
Output is correct |
11 |
Correct |
4 ms |
14936 KB |
Output is correct |
12 |
Correct |
3 ms |
14940 KB |
Output is correct |
13 |
Correct |
4 ms |
14940 KB |
Output is correct |
14 |
Correct |
4 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
14940 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
14940 KB |
Output is correct |
18 |
Correct |
3 ms |
14936 KB |
Output is correct |
19 |
Correct |
3 ms |
14940 KB |
Output is correct |
20 |
Correct |
4 ms |
14940 KB |
Output is correct |
21 |
Correct |
4 ms |
15092 KB |
Output is correct |
22 |
Correct |
4 ms |
15196 KB |
Output is correct |
23 |
Correct |
3 ms |
14940 KB |
Output is correct |
24 |
Correct |
4 ms |
14936 KB |
Output is correct |
25 |
Correct |
4 ms |
14940 KB |
Output is correct |
26 |
Correct |
4 ms |
14968 KB |
Output is correct |
27 |
Correct |
3 ms |
14936 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
4 ms |
14940 KB |
Output is correct |
30 |
Correct |
4 ms |
14940 KB |
Output is correct |
31 |
Correct |
145 ms |
49832 KB |
Output is correct |
32 |
Correct |
78 ms |
50304 KB |
Output is correct |
33 |
Correct |
139 ms |
49488 KB |
Output is correct |
34 |
Correct |
76 ms |
50364 KB |
Output is correct |
35 |
Correct |
141 ms |
46060 KB |
Output is correct |
36 |
Correct |
80 ms |
50368 KB |
Output is correct |
37 |
Correct |
122 ms |
46204 KB |
Output is correct |
38 |
Correct |
77 ms |
49876 KB |
Output is correct |
39 |
Correct |
129 ms |
44156 KB |
Output is correct |
40 |
Correct |
144 ms |
41044 KB |
Output is correct |
41 |
Correct |
120 ms |
44484 KB |
Output is correct |
42 |
Correct |
144 ms |
47508 KB |
Output is correct |
43 |
Correct |
138 ms |
40388 KB |
Output is correct |
44 |
Correct |
117 ms |
47952 KB |
Output is correct |
45 |
Correct |
116 ms |
47584 KB |
Output is correct |
46 |
Correct |
117 ms |
41556 KB |
Output is correct |
47 |
Correct |
137 ms |
42588 KB |
Output is correct |
48 |
Correct |
138 ms |
42344 KB |
Output is correct |
49 |
Correct |
123 ms |
46180 KB |
Output is correct |
50 |
Correct |
139 ms |
48976 KB |
Output is correct |
51 |
Correct |
3 ms |
14680 KB |
Output is correct |
52 |
Correct |
170 ms |
30540 KB |
Output is correct |
53 |
Correct |
122 ms |
30716 KB |
Output is correct |
54 |
Correct |
137 ms |
30648 KB |
Output is correct |
55 |
Correct |
128 ms |
30720 KB |
Output is correct |
56 |
Correct |
113 ms |
30548 KB |
Output is correct |
57 |
Correct |
122 ms |
30584 KB |
Output is correct |
58 |
Correct |
108 ms |
33616 KB |
Output is correct |
59 |
Correct |
141 ms |
34380 KB |
Output is correct |
60 |
Correct |
122 ms |
33616 KB |
Output is correct |
61 |
Correct |
151 ms |
33108 KB |
Output is correct |
62 |
Correct |
77 ms |
50260 KB |
Output is correct |
63 |
Correct |
79 ms |
50228 KB |
Output is correct |
64 |
Correct |
79 ms |
49896 KB |
Output is correct |
65 |
Correct |
82 ms |
50172 KB |
Output is correct |
66 |
Correct |
122 ms |
40008 KB |
Output is correct |
67 |
Correct |
102 ms |
40016 KB |
Output is correct |
68 |
Correct |
94 ms |
40164 KB |
Output is correct |
69 |
Correct |
106 ms |
40236 KB |
Output is correct |
70 |
Correct |
124 ms |
40080 KB |
Output is correct |
71 |
Correct |
94 ms |
40012 KB |
Output is correct |
72 |
Correct |
96 ms |
40144 KB |
Output is correct |
73 |
Correct |
116 ms |
39164 KB |
Output is correct |
74 |
Correct |
117 ms |
40012 KB |
Output is correct |
75 |
Correct |
99 ms |
40012 KB |
Output is correct |
76 |
Correct |
119 ms |
38400 KB |
Output is correct |
77 |
Correct |
115 ms |
36224 KB |
Output is correct |
78 |
Correct |
119 ms |
42276 KB |
Output is correct |
79 |
Correct |
126 ms |
39776 KB |
Output is correct |
80 |
Correct |
128 ms |
48264 KB |
Output is correct |
81 |
Correct |
144 ms |
44192 KB |
Output is correct |
82 |
Correct |
118 ms |
44372 KB |
Output is correct |
83 |
Correct |
116 ms |
40536 KB |
Output is correct |
84 |
Correct |
156 ms |
47276 KB |
Output is correct |
85 |
Correct |
118 ms |
45400 KB |
Output is correct |
86 |
Correct |
126 ms |
40020 KB |
Output is correct |
87 |
Correct |
129 ms |
41948 KB |
Output is correct |
88 |
Correct |
116 ms |
43336 KB |
Output is correct |
89 |
Correct |
125 ms |
38484 KB |
Output is correct |
90 |
Correct |
145 ms |
38480 KB |
Output is correct |
91 |
Correct |
137 ms |
41044 KB |
Output is correct |
92 |
Correct |
178 ms |
39348 KB |
Output is correct |
93 |
Correct |
157 ms |
39176 KB |
Output is correct |
94 |
Correct |
172 ms |
38308 KB |
Output is correct |
95 |
Correct |
157 ms |
40276 KB |
Output is correct |
96 |
Correct |
145 ms |
38576 KB |
Output is correct |
97 |
Correct |
138 ms |
41128 KB |
Output is correct |