Submission #542776

# Submission time Handle Problem Language Result Execution time Memory
542776 2022-03-28T01:00:20 Z chonka Making Friends on Joitter is Fun (JOI20_joitter2) C++
100 / 100
1979 ms 170612 KB
#include<bits/stdc++.h>
using namespace std ;

#define MAXN 300007

int n , m ;
pair < int , int > a[ MAXN ] ;
set < int > v[ MAXN ] ;

map < int , int > entering[ MAXN ] ;
map < int , int > leaving[ MAXN ] ;
set < int > all_entering[ MAXN ] ;

int sm_entering[ MAXN ] ;

int prv[ MAXN ] ;
int cnt[ MAXN ] , sz[ MAXN ] ;

long long ans = 0 ;

int get ( int x ) {
    if ( prv[ x ] == -1 ) { return x ; }
    int y = get ( prv[ x ] ) ;
    prv[ x ] = y ;
    return y ;
}
void unite ( int x , int y ) {
    int k1 = get ( x ) ;
    int k2 = get ( y ) ;
    vector < int > to_unite ;
    if ( k1 != k2 ) {
        ans -= 1LL * sz[ k1 ] * ( sz[ k1 ] - 1 ) ;
        ans -= 1LL * sz[ k1 ] * sm_entering[ k1 ] ;
        ans -= 1LL * sz[ k2 ] * ( sz[ k2 ] - 1 ) ;
        ans -= 1LL * sz[ k2 ] * sm_entering[ k2 ] ;

        if ( sz[ k1 ] < sz[ k2 ] ) {
            swap ( k1 , k2 ) ;
        }
        for ( auto [ aux , cnt ] : entering[ k2 ] ) {
            leaving[ aux ][ k2 ] -= cnt ;
            if ( aux != k1 ) {
                sm_entering[ k1 ] += cnt ;
                entering[ k1 ][ aux ] += cnt ;
                leaving[ aux ][ k1 ] += cnt ;
                
                if ( leaving[ k1 ].find ( aux ) != leaving[ k1 ].end ( ) ) {
                    to_unite.push_back ( aux ) ;
                }
            }
        }
        for ( auto [ aux , cnt ] : leaving[ k2 ] ) {
            entering[ aux ][ k2 ] -= cnt ;
            sm_entering[ aux ] -= cnt ;
            if ( aux != k1 ) {
                sm_entering[ aux ] += cnt ;
                entering[ aux ][ k1 ] += cnt ;
                leaving[ k1 ][ aux ] += cnt ;
                
                if ( entering[ k1 ].find ( aux ) != entering[ k1 ].end ( ) ) {
                    to_unite.push_back ( aux ) ;
                }
            }
        }
        for ( auto aux : all_entering[ k2 ] ) {
            if ( get ( aux ) != k1 && get ( aux ) != k2 && all_entering[ k1 ].find ( aux ) != all_entering[ k1 ].end ( ) ) {
                -- sm_entering[ k1 ] ;
                -- entering[ k1 ][ get ( aux ) ] ;
                -- leaving[ get ( aux ) ][ k1 ] ;
            }
            all_entering[ k1 ].insert ( aux ) ;
        }
        prv[ k2 ] = k1 ;
        sz[ k1 ] += sz[ k2 ] ;
        ans += 1LL * sz[ k1 ] * ( sz[ k1 ] - 1 ) ;
        ans += 1LL * sz[ k1 ] * sm_entering[ k1 ] ;
    }
    for ( auto nw : to_unite ) {
        if ( get ( x ) != get ( nw ) ) {
            unite ( x , nw ) ;
        }
    }
}

void input ( ) {
    cin >> n >> m ;
    for ( int i = 1 ; i <= m ; ++ i ) {
        cin >> a[ i ].first >> a[ i ].second ;
    }
}

void solve ( ) {
    for ( int i = 1 ; i <= n ; ++ i ) {
        prv[ i ] = -1 , sz[ i ] = 1 ;
    }
    for ( int i = 1 ; i <= m ; ++ i ) {
        int x = a[ i ].first , y = a[ i ].second ;
        if ( get ( x ) != get ( y ) ) {
            if ( leaving[ get ( y ) ].find ( get ( x ) ) != leaving[ get ( y ) ].end ( ) ) {
                unite ( x , y ) ;
            }
            else {
                if ( all_entering[ get ( y ) ].find ( x ) == all_entering[ get ( y ) ].end ( ) ) {
                    ans += sz[ get ( y ) ] ;
                    ++ leaving[ get ( x ) ][ get ( y ) ] ;
                    ++ entering[ get ( y ) ][ get ( x ) ] ;
                    ++ sm_entering[ get ( y ) ] ;
                    all_entering[ get ( y ) ].insert ( x ) ;
                }
            }
        }
        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 ;
}

Compilation message

joitter2.cpp: In function 'void unite(int, int)':
joitter2.cpp:40:20: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   40 |         for ( auto [ aux , cnt ] : entering[ k2 ] ) {
      |                    ^
joitter2.cpp:52:20: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   52 |         for ( auto [ aux , cnt ] : leaving[ k2 ] ) {
      |                    ^
# Verdict Execution time Memory Grader output
1 Correct 30 ms 56680 KB Output is correct
2 Correct 25 ms 56660 KB Output is correct
3 Correct 26 ms 56676 KB Output is correct
4 Correct 25 ms 56660 KB Output is correct
5 Correct 25 ms 56648 KB Output is correct
6 Correct 25 ms 56692 KB Output is correct
7 Correct 25 ms 56708 KB Output is correct
8 Correct 25 ms 56784 KB Output is correct
9 Correct 26 ms 56708 KB Output is correct
10 Correct 25 ms 56724 KB Output is correct
11 Correct 26 ms 56704 KB Output is correct
12 Correct 30 ms 56700 KB Output is correct
13 Correct 27 ms 56680 KB Output is correct
14 Correct 25 ms 56768 KB Output is correct
15 Correct 25 ms 56644 KB Output is correct
16 Correct 26 ms 56660 KB Output is correct
17 Correct 26 ms 56712 KB Output is correct
18 Correct 26 ms 56632 KB Output is correct
19 Correct 26 ms 56660 KB Output is correct
20 Correct 27 ms 56712 KB Output is correct
21 Correct 27 ms 56756 KB Output is correct
22 Correct 27 ms 56640 KB Output is correct
23 Correct 27 ms 56672 KB Output is correct
24 Correct 31 ms 56660 KB Output is correct
25 Correct 26 ms 56740 KB Output is correct
26 Correct 26 ms 56660 KB Output is correct
27 Correct 25 ms 56660 KB Output is correct
28 Correct 28 ms 56660 KB Output is correct
29 Correct 27 ms 56652 KB Output is correct
30 Correct 28 ms 56660 KB Output is correct
31 Correct 28 ms 56768 KB Output is correct
32 Correct 28 ms 56716 KB Output is correct
33 Correct 33 ms 56732 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 30 ms 56680 KB Output is correct
2 Correct 25 ms 56660 KB Output is correct
3 Correct 26 ms 56676 KB Output is correct
4 Correct 25 ms 56660 KB Output is correct
5 Correct 25 ms 56648 KB Output is correct
6 Correct 25 ms 56692 KB Output is correct
7 Correct 25 ms 56708 KB Output is correct
8 Correct 25 ms 56784 KB Output is correct
9 Correct 26 ms 56708 KB Output is correct
10 Correct 25 ms 56724 KB Output is correct
11 Correct 26 ms 56704 KB Output is correct
12 Correct 30 ms 56700 KB Output is correct
13 Correct 27 ms 56680 KB Output is correct
14 Correct 25 ms 56768 KB Output is correct
15 Correct 25 ms 56644 KB Output is correct
16 Correct 26 ms 56660 KB Output is correct
17 Correct 26 ms 56712 KB Output is correct
18 Correct 26 ms 56632 KB Output is correct
19 Correct 26 ms 56660 KB Output is correct
20 Correct 27 ms 56712 KB Output is correct
21 Correct 27 ms 56756 KB Output is correct
22 Correct 27 ms 56640 KB Output is correct
23 Correct 27 ms 56672 KB Output is correct
24 Correct 31 ms 56660 KB Output is correct
25 Correct 26 ms 56740 KB Output is correct
26 Correct 26 ms 56660 KB Output is correct
27 Correct 25 ms 56660 KB Output is correct
28 Correct 28 ms 56660 KB Output is correct
29 Correct 27 ms 56652 KB Output is correct
30 Correct 28 ms 56660 KB Output is correct
31 Correct 28 ms 56768 KB Output is correct
32 Correct 28 ms 56716 KB Output is correct
33 Correct 33 ms 56732 KB Output is correct
34 Correct 29 ms 56852 KB Output is correct
35 Correct 97 ms 65232 KB Output is correct
36 Correct 144 ms 68552 KB Output is correct
37 Correct 130 ms 68672 KB Output is correct
38 Correct 127 ms 68152 KB Output is correct
39 Correct 38 ms 57100 KB Output is correct
40 Correct 43 ms 58372 KB Output is correct
41 Correct 39 ms 58188 KB Output is correct
42 Correct 29 ms 57036 KB Output is correct
43 Correct 32 ms 57068 KB Output is correct
44 Correct 30 ms 56992 KB Output is correct
45 Correct 29 ms 57120 KB Output is correct
46 Correct 28 ms 57040 KB Output is correct
47 Correct 31 ms 57640 KB Output is correct
48 Correct 35 ms 57728 KB Output is correct
49 Correct 52 ms 58740 KB Output is correct
50 Correct 141 ms 68732 KB Output is correct
51 Correct 34 ms 57688 KB Output is correct
52 Correct 110 ms 66792 KB Output is correct
53 Correct 49 ms 58572 KB Output is correct
54 Correct 153 ms 67728 KB Output is correct
55 Correct 35 ms 57828 KB Output is correct
56 Correct 36 ms 57808 KB Output is correct
57 Correct 44 ms 58196 KB Output is correct
58 Correct 38 ms 58236 KB Output is correct
59 Correct 34 ms 58060 KB Output is correct
60 Correct 91 ms 65360 KB Output is correct
61 Correct 33 ms 57684 KB Output is correct
62 Correct 130 ms 67964 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 30 ms 56680 KB Output is correct
2 Correct 25 ms 56660 KB Output is correct
3 Correct 26 ms 56676 KB Output is correct
4 Correct 25 ms 56660 KB Output is correct
5 Correct 25 ms 56648 KB Output is correct
6 Correct 25 ms 56692 KB Output is correct
7 Correct 25 ms 56708 KB Output is correct
8 Correct 25 ms 56784 KB Output is correct
9 Correct 26 ms 56708 KB Output is correct
10 Correct 25 ms 56724 KB Output is correct
11 Correct 26 ms 56704 KB Output is correct
12 Correct 30 ms 56700 KB Output is correct
13 Correct 27 ms 56680 KB Output is correct
14 Correct 25 ms 56768 KB Output is correct
15 Correct 25 ms 56644 KB Output is correct
16 Correct 26 ms 56660 KB Output is correct
17 Correct 26 ms 56712 KB Output is correct
18 Correct 26 ms 56632 KB Output is correct
19 Correct 26 ms 56660 KB Output is correct
20 Correct 27 ms 56712 KB Output is correct
21 Correct 27 ms 56756 KB Output is correct
22 Correct 27 ms 56640 KB Output is correct
23 Correct 27 ms 56672 KB Output is correct
24 Correct 31 ms 56660 KB Output is correct
25 Correct 26 ms 56740 KB Output is correct
26 Correct 26 ms 56660 KB Output is correct
27 Correct 25 ms 56660 KB Output is correct
28 Correct 28 ms 56660 KB Output is correct
29 Correct 27 ms 56652 KB Output is correct
30 Correct 28 ms 56660 KB Output is correct
31 Correct 28 ms 56768 KB Output is correct
32 Correct 28 ms 56716 KB Output is correct
33 Correct 33 ms 56732 KB Output is correct
34 Correct 29 ms 56852 KB Output is correct
35 Correct 97 ms 65232 KB Output is correct
36 Correct 144 ms 68552 KB Output is correct
37 Correct 130 ms 68672 KB Output is correct
38 Correct 127 ms 68152 KB Output is correct
39 Correct 38 ms 57100 KB Output is correct
40 Correct 43 ms 58372 KB Output is correct
41 Correct 39 ms 58188 KB Output is correct
42 Correct 29 ms 57036 KB Output is correct
43 Correct 32 ms 57068 KB Output is correct
44 Correct 30 ms 56992 KB Output is correct
45 Correct 29 ms 57120 KB Output is correct
46 Correct 28 ms 57040 KB Output is correct
47 Correct 31 ms 57640 KB Output is correct
48 Correct 35 ms 57728 KB Output is correct
49 Correct 52 ms 58740 KB Output is correct
50 Correct 141 ms 68732 KB Output is correct
51 Correct 34 ms 57688 KB Output is correct
52 Correct 110 ms 66792 KB Output is correct
53 Correct 49 ms 58572 KB Output is correct
54 Correct 153 ms 67728 KB Output is correct
55 Correct 35 ms 57828 KB Output is correct
56 Correct 36 ms 57808 KB Output is correct
57 Correct 44 ms 58196 KB Output is correct
58 Correct 38 ms 58236 KB Output is correct
59 Correct 34 ms 58060 KB Output is correct
60 Correct 91 ms 65360 KB Output is correct
61 Correct 33 ms 57684 KB Output is correct
62 Correct 130 ms 67964 KB Output is correct
63 Correct 420 ms 107932 KB Output is correct
64 Correct 428 ms 107888 KB Output is correct
65 Correct 454 ms 107932 KB Output is correct
66 Correct 256 ms 82596 KB Output is correct
67 Correct 988 ms 170612 KB Output is correct
68 Correct 201 ms 77848 KB Output is correct
69 Correct 267 ms 77816 KB Output is correct
70 Correct 291 ms 80300 KB Output is correct
71 Correct 295 ms 80204 KB Output is correct
72 Correct 722 ms 112348 KB Output is correct
73 Correct 742 ms 117624 KB Output is correct
74 Correct 1979 ms 167260 KB Output is correct
75 Correct 588 ms 91760 KB Output is correct
76 Correct 1224 ms 123556 KB Output is correct
77 Correct 1172 ms 123840 KB Output is correct
78 Correct 335 ms 85996 KB Output is correct
79 Correct 435 ms 95052 KB Output is correct
80 Correct 274 ms 82432 KB Output is correct
81 Correct 421 ms 89592 KB Output is correct
82 Correct 988 ms 114616 KB Output is correct
83 Correct 1000 ms 114764 KB Output is correct
84 Correct 985 ms 138176 KB Output is correct
85 Correct 963 ms 138164 KB Output is correct
86 Correct 656 ms 159820 KB Output is correct
87 Correct 670 ms 162944 KB Output is correct
88 Correct 759 ms 115228 KB Output is correct
89 Correct 1123 ms 119556 KB Output is correct