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Submission #545053

# Submission time Handle Problem Language Result Execution time Memory
545053 2022-04-03T13:05:06 Z chonka Mergers (JOI19_mergers) C++
56 / 100
 157 ms 46012 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 500007
#define LOG 20

int n , k ;
vector < int > v[ MAXN ] ;
int a[ MAXN ] ;
int lvl[ MAXN ] ;
int LCA[ MAXN ][ LOG ] ;
int st[ MAXN ] , tp ;
vector < int > col[ MAXN ] ;

void init ( int vertex , int prv ) {
    st[ vertex ] = ++ tp ;
    for ( int i = 1 ; i < LOG ; ++ i ) {
        LCA[ vertex ][ i ] = LCA[ LCA[ vertex ][ i - 1 ] ][ i - 1 ] ;
    }
    for ( auto x : v[ vertex ] ) {
        if ( x == prv ) { continue ; }
        lvl[ x ] = lvl[ vertex ] + 1 ;
        LCA[ x ][ 0 ] = vertex ;
        init ( x , vertex ) ;
    }
}

int ori[ MAXN ] ;

int get_lca ( int x , int y ) {
    for ( int i = LOG - 1 ; i >= 0 ; -- i ) {
        if ( lvl[ x ] - ( 1 << i ) >= lvl[ y ] ) {
            x = LCA[ x ][ i ] ;
        }
        if ( lvl[ y ] - ( 1 << i ) >= lvl[ x ] ) {
            y = LCA[ y ][ i ] ;
        }
    }
    for ( int i = LOG - 1 ; i >= 0 ; -- i ) {
        if ( LCA[ x ][ i ] != LCA[ y ][ i ] ) {
            x = LCA[ x ][ i ] ;
            y = LCA[ y ][ i ] ;
        }
    }
    if ( x != y ) { x = LCA[ x ][ 0 ] ; }
    return x ;
}

int dp[ MAXN ] ;
int bad[ MAXN ] ;
int ans = 0 ;

int dfs ( int vertex , int prv ) {
    int ret = lvl[ ori[ a[ vertex ] ] ] ;
    for ( auto x : v[ vertex ] ) {
        if ( x == prv ) { continue ; }
        int aux = dfs ( x , vertex ) ;
        ret = min ( ret , aux ) ;
        dp[ vertex ] += max ( bad[ x ] , dp[ x ] ) ;
    }
    if ( ret >= lvl[ vertex ] ) {
        bad[ vertex ] = 1 ;
        if ( dp[ vertex ] == 0 && vertex != 1 ) {
            ++ ans ;
        }
    }
    return ret ;
}

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 ( ) {
    init ( 1 , -1 ) ;
    auto cmp = [ & ] ( int x , int y ) {
        return ( st[ x ] < st[ y ] ) ;
    };
    for ( int i = 1 ; i <= k ; ++ i ) {
        sort ( col[ i ].begin ( ) , col[ i ].end ( ) , cmp ) ;
        ori[ i ] = get_lca ( col[ i ].front ( ) , col[ i ].back ( ) ) ;
    }
    dfs ( 1 , -1 ) ;
    for ( int i = 2 ; i <= n ; ++ i ) {
        if ( dp[ i ] == dp[ 1 ] ) {
            ans += bad[ i ] ;
        }
    }
    cout << ( ans + 1 ) / 2 << "\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
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 11 ms 23764 KB Output is correct
4 Correct 11 ms 23856 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23764 KB Output is correct
7 Correct 11 ms 23728 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 11 ms 23756 KB Output is correct
10 Correct 11 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23844 KB Output is correct
14 Correct 14 ms 23776 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 12 ms 23820 KB Output is correct
17 Correct 12 ms 23824 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 12 ms 23760 KB Output is correct
20 Correct 11 ms 23820 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 11 ms 23764 KB Output is correct
23 Correct 12 ms 23820 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 11 ms 23764 KB Output is correct
4 Correct 11 ms 23856 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23764 KB Output is correct
7 Correct 11 ms 23728 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 11 ms 23756 KB Output is correct
10 Correct 11 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23844 KB Output is correct
14 Correct 14 ms 23776 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 12 ms 23820 KB Output is correct
17 Correct 12 ms 23824 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 12 ms 23760 KB Output is correct
20 Correct 11 ms 23820 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 11 ms 23764 KB Output is correct
23 Correct 12 ms 23820 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct
25 Correct 14 ms 23764 KB Output is correct
26 Correct 14 ms 24264 KB Output is correct
27 Correct 15 ms 24276 KB Output is correct
28 Correct 16 ms 24420 KB Output is correct
29 Correct 14 ms 24296 KB Output is correct
30 Correct 13 ms 24276 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 15 ms 24480 KB Output is correct
33 Correct 12 ms 23764 KB Output is correct
34 Correct 16 ms 24300 KB Output is correct
35 Correct 14 ms 24344 KB Output is correct
36 Correct 13 ms 24276 KB Output is correct
37 Correct 13 ms 24220 KB Output is correct
38 Correct 12 ms 23764 KB Output is correct
39 Correct 14 ms 24344 KB Output is correct
40 Correct 13 ms 24276 KB Output is correct
41 Correct 15 ms 24288 KB Output is correct
42 Correct 14 ms 24284 KB Output is correct
43 Correct 14 ms 24480 KB Output is correct
44 Correct 12 ms 23764 KB Output is correct
45 Correct 15 ms 24404 KB Output is correct
46 Correct 15 ms 24276 KB Output is correct
47 Correct 12 ms 23764 KB Output is correct
48 Correct 14 ms 24216 KB Output is correct
49 Correct 14 ms 24284 KB Output is correct
50 Correct 14 ms 24404 KB Output is correct
51 Correct 14 ms 24212 KB Output is correct
52 Correct 13 ms 24304 KB Output is correct
53 Correct 14 ms 24288 KB Output is correct
54 Correct 13 ms 24224 KB Output is correct

Subtask #3
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 11 ms 23764 KB Output is correct
4 Correct 11 ms 23856 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23764 KB Output is correct
7 Correct 11 ms 23728 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 11 ms 23756 KB Output is correct
10 Correct 11 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23844 KB Output is correct
14 Correct 14 ms 23776 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 12 ms 23820 KB Output is correct
17 Correct 12 ms 23824 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 12 ms 23760 KB Output is correct
20 Correct 11 ms 23820 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 11 ms 23764 KB Output is correct
23 Correct 12 ms 23820 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct
25 Correct 12 ms 23764 KB Output is correct
26 Correct 90 ms 38388 KB Output is correct
27 Correct 104 ms 38424 KB Output is correct
28 Correct 14 ms 24420 KB Output is correct
29 Correct 12 ms 23856 KB Output is correct
30 Correct 12 ms 23820 KB Output is correct
31 Correct 90 ms 38552 KB Output is correct
32 Correct 14 ms 24292 KB Output is correct
33 Correct 135 ms 45588 KB Output is correct
34 Correct 95 ms 38472 KB Output is correct
35 Correct 13 ms 24248 KB Output is correct
36 Incorrect 116 ms 39368 KB Output isn't correct
37 Halted 0 ms 0 KB -

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 36932 KB Output is correct
2 Correct 119 ms 40264 KB Output is correct
3 Correct 14 ms 24276 KB Output is correct
4 Correct 16 ms 24224 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 12 ms 23788 KB Output is correct
7 Correct 14 ms 24216 KB Output is correct
8 Correct 128 ms 40304 KB Output is correct
9 Correct 14 ms 24276 KB Output is correct
10 Correct 95 ms 39056 KB Output is correct
11 Correct 13 ms 23820 KB Output is correct
12 Correct 127 ms 38844 KB Output is correct
13 Correct 132 ms 40272 KB Output is correct
14 Correct 132 ms 42152 KB Output is correct
15 Correct 73 ms 38308 KB Output is correct
16 Correct 15 ms 24316 KB Output is correct
17 Correct 13 ms 23764 KB Output is correct
18 Correct 109 ms 41620 KB Output is correct
19 Correct 157 ms 46012 KB Output is correct
20 Correct 15 ms 24204 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 99 ms 40064 KB Output is correct
23 Correct 17 ms 24288 KB Output is correct
24 Correct 117 ms 39344 KB Output is correct
25 Correct 154 ms 44736 KB Output is correct
26 Correct 15 ms 24292 KB Output is correct
27 Correct 17 ms 24372 KB Output is correct
28 Correct 14 ms 24224 KB Output is correct
29 Correct 13 ms 24276 KB Output is correct
30 Correct 15 ms 24388 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23764 KB Output is correct
2 Correct 11 ms 23764 KB Output is correct
3 Correct 11 ms 23764 KB Output is correct
4 Correct 11 ms 23856 KB Output is correct
5 Correct 11 ms 23764 KB Output is correct
6 Correct 11 ms 23764 KB Output is correct
7 Correct 11 ms 23728 KB Output is correct
8 Correct 12 ms 23764 KB Output is correct
9 Correct 11 ms 23756 KB Output is correct
10 Correct 11 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 12 ms 23764 KB Output is correct
13 Correct 12 ms 23844 KB Output is correct
14 Correct 14 ms 23776 KB Output is correct
15 Correct 12 ms 23764 KB Output is correct
16 Correct 12 ms 23820 KB Output is correct
17 Correct 12 ms 23824 KB Output is correct
18 Correct 11 ms 23764 KB Output is correct
19 Correct 12 ms 23760 KB Output is correct
20 Correct 11 ms 23820 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 11 ms 23764 KB Output is correct
23 Correct 12 ms 23820 KB Output is correct
24 Correct 12 ms 23764 KB Output is correct
25 Correct 14 ms 23764 KB Output is correct
26 Correct 14 ms 24264 KB Output is correct
27 Correct 15 ms 24276 KB Output is correct
28 Correct 16 ms 24420 KB Output is correct
29 Correct 14 ms 24296 KB Output is correct
30 Correct 13 ms 24276 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 15 ms 24480 KB Output is correct
33 Correct 12 ms 23764 KB Output is correct
34 Correct 16 ms 24300 KB Output is correct
35 Correct 14 ms 24344 KB Output is correct
36 Correct 13 ms 24276 KB Output is correct
37 Correct 13 ms 24220 KB Output is correct
38 Correct 12 ms 23764 KB Output is correct
39 Correct 14 ms 24344 KB Output is correct
40 Correct 13 ms 24276 KB Output is correct
41 Correct 15 ms 24288 KB Output is correct
42 Correct 14 ms 24284 KB Output is correct
43 Correct 14 ms 24480 KB Output is correct
44 Correct 12 ms 23764 KB Output is correct
45 Correct 15 ms 24404 KB Output is correct
46 Correct 15 ms 24276 KB Output is correct
47 Correct 12 ms 23764 KB Output is correct
48 Correct 14 ms 24216 KB Output is correct
49 Correct 14 ms 24284 KB Output is correct
50 Correct 14 ms 24404 KB Output is correct
51 Correct 14 ms 24212 KB Output is correct
52 Correct 13 ms 24304 KB Output is correct
53 Correct 14 ms 24288 KB Output is correct
54 Correct 13 ms 24224 KB Output is correct
55 Correct 12 ms 23764 KB Output is correct
56 Correct 90 ms 38388 KB Output is correct
57 Correct 104 ms 38424 KB Output is correct
58 Correct 14 ms 24420 KB Output is correct
59 Correct 12 ms 23856 KB Output is correct
60 Correct 12 ms 23820 KB Output is correct
61 Correct 90 ms 38552 KB Output is correct
62 Correct 14 ms 24292 KB Output is correct
63 Correct 135 ms 45588 KB Output is correct
64 Correct 95 ms 38472 KB Output is correct
65 Correct 13 ms 24248 KB Output is correct
66 Incorrect 116 ms 39368 KB Output isn't correct
67 Halted 0 ms 0 KB -