oj.uz

Submission #542964

# Submission time Handle Problem Language Result Execution time Memory
542964 2022-03-28T14:44:12 Z chonka Capital City (JOI20_capital_city) C++
100 / 100
 714 ms 42368 KB 
#include<bits/stdc++.h>
using namespace std ;
typedef long long ll ;

// mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

#define MAXN 200007

int n , k ;
int a[ MAXN ] ;
vector < int > v[ MAXN ] ;
vector < int > col[ MAXN ] ;

int tot ;
int used[ MAXN ] , subtree[ MAXN ] , prv[ MAXN ] , mrk[ MAXN ] ;
bool added[ MAXN ] ;
vector < int > clist ;
int ans = MAXN ; 

void dfs ( int vertex , int lst , int ori ) {
    mrk[ vertex ] = ori ;
    ++ tot ;
    subtree[ vertex ] = 1 ;
    for ( auto x : v[ vertex ] ) {
        if ( x == lst || used[ x ] == 1 ) { continue ; }
        prv[ x ] = vertex ;
        dfs ( x , vertex , ori ) ;
        subtree[ vertex ] += subtree[ x ] ;
    }
}
int get_centroid ( int vertex , int lst ) {
    for ( auto x : v[ vertex ] ) {
        if ( x == lst || used[ x ] == 1 ) { continue ; }
        if ( 2 * subtree[ x ] > tot ) {
            return get_centroid ( x , vertex ) ;
        }
    }
    return vertex ;
}

queue < int > q ;

void decompose ( int vertex ) {
    tot = 0 , prv[ vertex ] = 0 ;
    dfs ( vertex , -1 , vertex ) ;
    vertex = get_centroid ( vertex , -1 ) ;
    tot = 0 , prv[ vertex ] = 0 ;
    dfs ( vertex , -1 , vertex ) ;
    
    bool ok = true ;
    for ( auto x : col[ a[ vertex ] ] ) {
        if ( mrk[ x ] != vertex ) {
            ok = false ;
            break ;
        }
        q.push ( x ) ;
    }
    clist.push_back ( a[ vertex ] ) ;
    added[ a[ vertex ] ] = true ;
    while ( q.empty ( ) == false ) {
        if ( ok == false ) { break ; }
        int x = q.front ( ) ;
        q.pop ( ) ;
        if ( prv[ x ] >= 1 ) {
            if ( added[ a[ prv[ x ] ] ] == false ) {
                for ( auto x : col[ a[ prv[ x ] ] ] ) {
                    if ( mrk[ x ] != vertex ) {
                        ok = false ;
                        break ;
                    }
                    q.push ( x ) ;
                }
                added[ a[ prv[ x ] ] ] = true ;
                clist.push_back ( a[ prv[ x ] ] ) ;
            }
        }
    }
    if ( ok == true ) {
        ans = min ( ans , (int)clist.size ( ) - 1 ) ;
    }
    for ( auto x : clist ) {
        added[ x ] = false ;
    }
    clist.clear ( ) ;
    while ( q.empty ( ) == false ) { q.pop ( ) ; }
    used[ vertex ] = 1 ;
    for ( auto x : v[ vertex ] ) {
        if ( used[ x ] == 0 ) {
            decompose ( x ) ;
        }
    }
}

void input ( ) {
    cin >> n >> k ;
    for ( int i = 1 ; i < n ; ++ i ) {
        int x , y ; cin >> x >> y ;
        v[ x ].push_back ( y ) ;
        v[ y ].push_back ( x ) ;
    }
    for ( int i = 1 ; i <= n ; ++ i ) {
        cin >> a[ i ] ;
        col[ a[ i ] ].push_back ( i ) ;
    }
}

void solve ( ) {
    decompose ( 1 ) ;
    cout << ans << "\n" ;
}

int main ( ) {
    ios_base :: sync_with_stdio ( false ) ;
    cin.tie ( NULL ) ;
    int t = 1 ;
    // cin >> t ;
    while ( t -- ) {
        input ( ) ;
        solve ( ) ;
    }
    return 0 ;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9680 KB Output is correct
9 Correct 6 ms 9740 KB Output is correct
10 Correct 6 ms 9744 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9680 KB Output is correct
9 Correct 6 ms 9740 KB Output is correct
10 Correct 6 ms 9744 KB Output is correct
11 Correct 7 ms 9776 KB Output is correct
12 Correct 10 ms 9956 KB Output is correct
13 Correct 7 ms 9812 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct
15 Correct 7 ms 9812 KB Output is correct
16 Correct 7 ms 9820 KB Output is correct
17 Correct 7 ms 9940 KB Output is correct
18 Correct 7 ms 9940 KB Output is correct
19 Correct 7 ms 9940 KB Output is correct
20 Correct 7 ms 9940 KB Output is correct
21 Correct 7 ms 9900 KB Output is correct
22 Correct 7 ms 10068 KB Output is correct
23 Correct 8 ms 9872 KB Output is correct
24 Correct 7 ms 9856 KB Output is correct
25 Correct 8 ms 10000 KB Output is correct
26 Correct 7 ms 9940 KB Output is correct
27 Correct 7 ms 9940 KB Output is correct
28 Correct 7 ms 9940 KB Output is correct
29 Correct 7 ms 9876 KB Output is correct
30 Correct 7 ms 9940 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 624 ms 38188 KB Output is correct
2 Correct 163 ms 38744 KB Output is correct
3 Correct 588 ms 37852 KB Output is correct
4 Correct 172 ms 38672 KB Output is correct
5 Correct 591 ms 35016 KB Output is correct
6 Correct 176 ms 38780 KB Output is correct
7 Correct 667 ms 35508 KB Output is correct
8 Correct 174 ms 38516 KB Output is correct
9 Correct 656 ms 33804 KB Output is correct
10 Correct 651 ms 31444 KB Output is correct
11 Correct 708 ms 34268 KB Output is correct
12 Correct 689 ms 36900 KB Output is correct
13 Correct 649 ms 30964 KB Output is correct
14 Correct 674 ms 40884 KB Output is correct
15 Correct 696 ms 40616 KB Output is correct
16 Correct 688 ms 35552 KB Output is correct
17 Correct 652 ms 36072 KB Output is correct
18 Correct 700 ms 36224 KB Output is correct
19 Correct 704 ms 39404 KB Output is correct
20 Correct 655 ms 41820 KB Output is correct
21 Correct 7 ms 9728 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9680 KB Output is correct
9 Correct 6 ms 9740 KB Output is correct
10 Correct 6 ms 9744 KB Output is correct
11 Correct 7 ms 9776 KB Output is correct
12 Correct 10 ms 9956 KB Output is correct
13 Correct 7 ms 9812 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct
15 Correct 7 ms 9812 KB Output is correct
16 Correct 7 ms 9820 KB Output is correct
17 Correct 7 ms 9940 KB Output is correct
18 Correct 7 ms 9940 KB Output is correct
19 Correct 7 ms 9940 KB Output is correct
20 Correct 7 ms 9940 KB Output is correct
21 Correct 7 ms 9900 KB Output is correct
22 Correct 7 ms 10068 KB Output is correct
23 Correct 8 ms 9872 KB Output is correct
24 Correct 7 ms 9856 KB Output is correct
25 Correct 8 ms 10000 KB Output is correct
26 Correct 7 ms 9940 KB Output is correct
27 Correct 7 ms 9940 KB Output is correct
28 Correct 7 ms 9940 KB Output is correct
29 Correct 7 ms 9876 KB Output is correct
30 Correct 7 ms 9940 KB Output is correct
31 Correct 624 ms 38188 KB Output is correct
32 Correct 163 ms 38744 KB Output is correct
33 Correct 588 ms 37852 KB Output is correct
34 Correct 172 ms 38672 KB Output is correct
35 Correct 591 ms 35016 KB Output is correct
36 Correct 176 ms 38780 KB Output is correct
37 Correct 667 ms 35508 KB Output is correct
38 Correct 174 ms 38516 KB Output is correct
39 Correct 656 ms 33804 KB Output is correct
40 Correct 651 ms 31444 KB Output is correct
41 Correct 708 ms 34268 KB Output is correct
42 Correct 689 ms 36900 KB Output is correct
43 Correct 649 ms 30964 KB Output is correct
44 Correct 674 ms 40884 KB Output is correct
45 Correct 696 ms 40616 KB Output is correct
46 Correct 688 ms 35552 KB Output is correct
47 Correct 652 ms 36072 KB Output is correct
48 Correct 700 ms 36224 KB Output is correct
49 Correct 704 ms 39404 KB Output is correct
50 Correct 655 ms 41820 KB Output is correct
51 Correct 7 ms 9728 KB Output is correct
52 Correct 415 ms 25852 KB Output is correct
53 Correct 501 ms 25844 KB Output is correct
54 Correct 458 ms 25804 KB Output is correct
55 Correct 553 ms 25756 KB Output is correct
56 Correct 534 ms 25852 KB Output is correct
57 Correct 461 ms 25876 KB Output is correct
58 Correct 494 ms 29020 KB Output is correct
59 Correct 453 ms 29264 KB Output is correct
60 Correct 521 ms 28636 KB Output is correct
61 Correct 572 ms 28224 KB Output is correct
62 Correct 187 ms 42368 KB Output is correct
63 Correct 186 ms 42344 KB Output is correct
64 Correct 169 ms 42280 KB Output is correct
65 Correct 182 ms 42308 KB Output is correct
66 Correct 368 ms 34268 KB Output is correct
67 Correct 404 ms 34136 KB Output is correct
68 Correct 377 ms 34132 KB Output is correct
69 Correct 350 ms 34276 KB Output is correct
70 Correct 375 ms 34072 KB Output is correct
71 Correct 371 ms 34172 KB Output is correct
72 Correct 376 ms 34072 KB Output is correct
73 Correct 358 ms 33372 KB Output is correct
74 Correct 362 ms 34272 KB Output is correct
75 Correct 358 ms 34228 KB Output is correct
76 Correct 567 ms 32604 KB Output is correct
77 Correct 553 ms 30840 KB Output is correct
78 Correct 714 ms 35996 KB Output is correct
79 Correct 690 ms 34040 KB Output is correct
80 Correct 692 ms 41264 KB Output is correct
81 Correct 686 ms 37632 KB Output is correct
82 Correct 691 ms 37736 KB Output is correct
83 Correct 674 ms 34300 KB Output is correct
84 Correct 620 ms 40272 KB Output is correct
85 Correct 636 ms 38620 KB Output is correct
86 Correct 672 ms 34064 KB Output is correct
87 Correct 674 ms 35808 KB Output is correct
88 Correct 595 ms 36764 KB Output is correct
89 Correct 521 ms 32808 KB Output is correct
90 Correct 563 ms 32744 KB Output is correct
91 Correct 526 ms 35072 KB Output is correct
92 Correct 535 ms 33532 KB Output is correct
93 Correct 575 ms 33392 KB Output is correct
94 Correct 525 ms 32848 KB Output is correct
95 Correct 538 ms 34312 KB Output is correct
96 Correct 561 ms 32832 KB Output is correct
97 Correct 566 ms 34928 KB Output is correct