oj.uz

Submission #545198

# Submission time Handle Problem Language Result Execution time Memory
545198 2022-04-04T00:51:35 Z chonka Construction of Highway (JOI18_construction) C++
100 / 100
 862 ms 28656 KB 
#include<bits/stdc++.h>
using namespace std ;

#define MAXN 100007
#define LOG 20

int n ;
int a[ MAXN ] ;
pair < int , int > edges[ MAXN ] ;
vector < int > v[ MAXN ] ;

int pos_in_tree[ MAXN ] ;
int LCA[ MAXN ][ LOG ] ;
int subtree[ MAXN ] , heavy[ MAXN ] ;
int root[ MAXN ] ;

void dfs ( int vertex ) {
    for ( int i = 1 ; i < LOG ; ++ i ) {
        LCA[ vertex ][ i ] = LCA[ LCA[ vertex ][ i - 1 ] ][ i - 1 ] ;
    }
    subtree[ vertex ] = 1 ;
    int mx = -1 ;
    heavy[ vertex ] = 0 ;
    for ( auto x : v[ vertex ] ) {
        LCA[ x ][ 0 ] = vertex ;
        dfs ( x ) ;
        subtree[ vertex ] += subtree[ x ] ;
        if ( mx < subtree[ x ] ) {
            mx = subtree[ x ] ;
            heavy[ vertex ] = x ;
        }
    }
}

class Tree {
public :
    int tr[ 4 * MAXN ] , lazy[ 4 * MAXN ] ;
    void push_lazy ( int where , int IL , int IR ) {
        if ( lazy[ where ] == 0 ) { return ; }
        tr[ where ] = lazy[ where ] ;
        if ( IL != IR ) {
            lazy[ 2 * where ] = lazy[ where ] ;
            lazy[ 2 * where + 1 ] = lazy[ where ] ;
        }
        lazy[ where ] = 0 ;
    }
    void init ( int where , int IL , int IR ) {
        tr[ where ] = lazy[ where ] = 0 ;
        if ( IL == IR ) { return ; }
        int mid = ( IL + IR ) / 2 ;
        init ( 2 * where , IL , mid ) ;
        init ( 2 * where + 1 , mid + 1 , IR ) ;
    }
    void update ( int where , int IL , int IR , int CURL , int CURR , int nw ) {
        push_lazy ( where , IL , IR ) ;
        if ( IL > IR || CURL > CURR ) { return ; }
        if ( IR < CURL || CURR < IL ) { return ; }
        if ( CURL <= IL && IR <= CURR ) {
            lazy[ where ] = nw ;
            push_lazy ( where , IL , IR ) ;
            return ;
        }
        int mid = ( IL + IR ) / 2 ;
        update ( 2 * where , IL , mid , CURL , CURR , nw ) ;
        update ( 2 * where + 1 , mid + 1 , IR , CURL , CURR , nw ) ;
    }
    int query ( int where , int IL , int IR , int pos ) {
        push_lazy ( where , IL , IR ) ;
        if ( IL == IR ) { return tr[ where ] ; }
        int mid = ( IL + IR ) / 2 ;
        if ( pos <= mid ) { return query ( 2 * where , IL , mid , pos ) ; }
        return query ( 2 * where + 1 , mid + 1 , IR , pos ) ;
    }
};
Tree w ;

void input ( ) {
    cin >> n ;
    for ( int i = 1 ; i <= n ; ++ i ) {
        cin >> a[ i ] ;
    }
    for ( int i = 1 ; i < n ; ++ i ) {
        cin >> edges[ i ].first >> edges[ i ].second ;
        v[ edges[ i ].first ].push_back ( edges[ i ].second ) ;
    }
}
stack < pair < int , int > > s ;

pair < int , int > srt[ MAXN ] ;
pair < int , int > aux[ MAXN ] ;

long long f ( int l , int r ) {
    if ( l == r ) { return 0 ; }
    int mid = ( l + r ) / 2 ;
    long long ret = f ( l , mid ) + f ( mid + 1 , r ) ;
    int pos1 , pos2 ;
    pos1 = l , pos2 = mid + 1 ;
    int tp = l - 1 ;
    long long sm_l = 0 ;
    for ( int i = l ; i <= mid ; ++ i ) {
        sm_l += srt[ i ].second ;
    }
    while ( pos1 <= mid || pos2 <= r ) {
        if ( pos1 > mid ) {
            aux[ ++ tp ] = srt[ pos2 ++ ] ;
        }
        else if ( pos2 > r ) {
            aux[ ++ tp ] = srt[ pos1 ++ ] ;
        }
        else {
            if ( srt[ pos1 ].first <= srt[ pos2 ].first ) {
                aux[ ++ tp ] = srt[ pos1 ] ;
                sm_l -= srt[ pos1 ++ ].second ;
            }
            else {
                aux[ ++ tp ] = srt[ pos2 ] ;
                ret += srt[ pos2 ++ ].second * sm_l ;
            }
        }
    }
    for ( int i = l ; i <= r ; ++ i ) {
        srt[ i ] = aux[ i ] ;
    }
    return ret ;
}

void solve ( ) {
    dfs ( 1 ) ;
    int tp = 0 ;
    for ( int i = 1 ; i <= n ; ++ i ) {
        if ( heavy[ LCA[ i ][ 0 ] ] != i ) {
            int x = i ;
            while ( x != 0 ) {
                pos_in_tree[ x ] = ++ tp ;
                root[ x ] = i ;
                x = heavy[ x ] ;
            }
        }
    }
    w.init ( 1 , 1 , n ) ;
    w.update ( 1 , 1 , n , 1 , 1 , 1 ) ;
    for ( int i = 1 ; i < n ; ++ i ) {
        int wh = edges[ i ].first ;
        while ( wh > 0 ) {
            int sr = w.query ( 1 , 1 , n , pos_in_tree[ wh ] ) ;
            int cnt = 1 ;
            for ( int j = LOG - 1 ; j >= 0 ; -- j ) {
                if ( LCA[ wh ][ j ] > 0 && w.query ( 1 , 1 , n , pos_in_tree[ LCA[ wh ][ j ] ] ) == sr ) {
                    wh = LCA[ wh ][ j ] ;
                    cnt += ( 1 << j ) ;
                }
            }
            s.push ( { a[ sr ] , cnt } ) ;
            wh = LCA[ wh ][ 0 ] ;
        }
        tp = 0 ;
        while ( s.empty ( ) == false ) {
            srt[ ++ tp ] = s.top ( ) ;
            s.pop ( ) ;
        }
        cout << f ( 1 , tp ) << "\n" ;
        wh = edges[ i ].second ;
        while ( wh > 0 ) {
            w.update ( 1 , 1 , n , pos_in_tree[ root[ wh ] ] , pos_in_tree[ wh ] , edges[ i ].second ) ;
            wh = LCA[ root[ wh ] ][ 0 ] ;
        }
    }
}


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

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2704 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 3 ms 2772 KB Output is correct
8 Correct 2 ms 2828 KB Output is correct
9 Correct 2 ms 2836 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2836 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2836 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2696 KB Output is correct
16 Correct 3 ms 2708 KB Output is correct
17 Correct 3 ms 2708 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 2 ms 2772 KB Output is correct
20 Correct 2 ms 2832 KB Output is correct
21 Correct 2 ms 2828 KB Output is correct
22 Correct 2 ms 2772 KB Output is correct
23 Correct 2 ms 2696 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 3 ms 2772 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 2 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 3 ms 2772 KB Output is correct
31 Correct 3 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 2 ms 2772 KB Output is correct
35 Correct 2 ms 2704 KB Output is correct
36 Correct 2 ms 2772 KB Output is correct
37 Correct 2 ms 2772 KB Output is correct
38 Correct 2 ms 2772 KB Output is correct
39 Correct 2 ms 2772 KB Output is correct
40 Correct 2 ms 2772 KB Output is correct
41 Correct 3 ms 2696 KB Output is correct
42 Correct 3 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2772 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2704 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 3 ms 2772 KB Output is correct
8 Correct 2 ms 2828 KB Output is correct
9 Correct 2 ms 2836 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2836 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2836 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2696 KB Output is correct
16 Correct 3 ms 2708 KB Output is correct
17 Correct 3 ms 2708 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 2 ms 2772 KB Output is correct
20 Correct 2 ms 2832 KB Output is correct
21 Correct 2 ms 2828 KB Output is correct
22 Correct 2 ms 2772 KB Output is correct
23 Correct 2 ms 2696 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 3 ms 2772 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 2 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 3 ms 2772 KB Output is correct
31 Correct 3 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 2 ms 2772 KB Output is correct
35 Correct 2 ms 2704 KB Output is correct
36 Correct 2 ms 2772 KB Output is correct
37 Correct 2 ms 2772 KB Output is correct
38 Correct 2 ms 2772 KB Output is correct
39 Correct 2 ms 2772 KB Output is correct
40 Correct 2 ms 2772 KB Output is correct
41 Correct 3 ms 2696 KB Output is correct
42 Correct 3 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2772 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 10 ms 3368 KB Output is correct
47 Correct 10 ms 3284 KB Output is correct
48 Correct 9 ms 3344 KB Output is correct
49 Correct 6 ms 3732 KB Output is correct
50 Correct 6 ms 3668 KB Output is correct
51 Correct 6 ms 3676 KB Output is correct
52 Correct 8 ms 3540 KB Output is correct
53 Correct 8 ms 3476 KB Output is correct
54 Correct 9 ms 3480 KB Output is correct
55 Correct 7 ms 3552 KB Output is correct
56 Correct 7 ms 3412 KB Output is correct
57 Correct 16 ms 3272 KB Output is correct
58 Correct 17 ms 3352 KB Output is correct
59 Correct 16 ms 3364 KB Output is correct
60 Correct 18 ms 3420 KB Output is correct
61 Correct 9 ms 3412 KB Output is correct
62 Correct 8 ms 3424 KB Output is correct
63 Correct 9 ms 3524 KB Output is correct
64 Correct 10 ms 3332 KB Output is correct
65 Correct 10 ms 3284 KB Output is correct
66 Correct 10 ms 3348 KB Output is correct
67 Correct 11 ms 3340 KB Output is correct
68 Correct 6 ms 3668 KB Output is correct
69 Correct 8 ms 3540 KB Output is correct
70 Correct 7 ms 3472 KB Output is correct
71 Correct 8 ms 3412 KB Output is correct
72 Correct 16 ms 3348 KB Output is correct
73 Correct 16 ms 3348 KB Output is correct
74 Correct 8 ms 3412 KB Output is correct
75 Correct 8 ms 3344 KB Output is correct
76 Correct 8 ms 3284 KB Output is correct
77 Correct 7 ms 3284 KB Output is correct
78 Correct 7 ms 3340 KB Output is correct
79 Correct 7 ms 3384 KB Output is correct
80 Correct 7 ms 3284 KB Output is correct
81 Correct 9 ms 3412 KB Output is correct
82 Correct 8 ms 3348 KB Output is correct
83 Correct 8 ms 3284 KB Output is correct
84 Correct 9 ms 3412 KB Output is correct
85 Correct 9 ms 3344 KB Output is correct
86 Correct 8 ms 3284 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2704 KB Output is correct
5 Correct 2 ms 2772 KB Output is correct
6 Correct 2 ms 2772 KB Output is correct
7 Correct 3 ms 2772 KB Output is correct
8 Correct 2 ms 2828 KB Output is correct
9 Correct 2 ms 2836 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2836 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2836 KB Output is correct
14 Correct 2 ms 2772 KB Output is correct
15 Correct 2 ms 2696 KB Output is correct
16 Correct 3 ms 2708 KB Output is correct
17 Correct 3 ms 2708 KB Output is correct
18 Correct 3 ms 2772 KB Output is correct
19 Correct 2 ms 2772 KB Output is correct
20 Correct 2 ms 2832 KB Output is correct
21 Correct 2 ms 2828 KB Output is correct
22 Correct 2 ms 2772 KB Output is correct
23 Correct 2 ms 2696 KB Output is correct
24 Correct 2 ms 2772 KB Output is correct
25 Correct 3 ms 2772 KB Output is correct
26 Correct 2 ms 2772 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 2 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 3 ms 2772 KB Output is correct
31 Correct 3 ms 2772 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2772 KB Output is correct
34 Correct 2 ms 2772 KB Output is correct
35 Correct 2 ms 2704 KB Output is correct
36 Correct 2 ms 2772 KB Output is correct
37 Correct 2 ms 2772 KB Output is correct
38 Correct 2 ms 2772 KB Output is correct
39 Correct 2 ms 2772 KB Output is correct
40 Correct 2 ms 2772 KB Output is correct
41 Correct 3 ms 2696 KB Output is correct
42 Correct 3 ms 2772 KB Output is correct
43 Correct 2 ms 2772 KB Output is correct
44 Correct 2 ms 2772 KB Output is correct
45 Correct 4 ms 2900 KB Output is correct
46 Correct 10 ms 3368 KB Output is correct
47 Correct 10 ms 3284 KB Output is correct
48 Correct 9 ms 3344 KB Output is correct
49 Correct 6 ms 3732 KB Output is correct
50 Correct 6 ms 3668 KB Output is correct
51 Correct 6 ms 3676 KB Output is correct
52 Correct 8 ms 3540 KB Output is correct
53 Correct 8 ms 3476 KB Output is correct
54 Correct 9 ms 3480 KB Output is correct
55 Correct 7 ms 3552 KB Output is correct
56 Correct 7 ms 3412 KB Output is correct
57 Correct 16 ms 3272 KB Output is correct
58 Correct 17 ms 3352 KB Output is correct
59 Correct 16 ms 3364 KB Output is correct
60 Correct 18 ms 3420 KB Output is correct
61 Correct 9 ms 3412 KB Output is correct
62 Correct 8 ms 3424 KB Output is correct
63 Correct 9 ms 3524 KB Output is correct
64 Correct 10 ms 3332 KB Output is correct
65 Correct 10 ms 3284 KB Output is correct
66 Correct 10 ms 3348 KB Output is correct
67 Correct 11 ms 3340 KB Output is correct
68 Correct 6 ms 3668 KB Output is correct
69 Correct 8 ms 3540 KB Output is correct
70 Correct 7 ms 3472 KB Output is correct
71 Correct 8 ms 3412 KB Output is correct
72 Correct 16 ms 3348 KB Output is correct
73 Correct 16 ms 3348 KB Output is correct
74 Correct 8 ms 3412 KB Output is correct
75 Correct 8 ms 3344 KB Output is correct
76 Correct 8 ms 3284 KB Output is correct
77 Correct 7 ms 3284 KB Output is correct
78 Correct 7 ms 3340 KB Output is correct
79 Correct 7 ms 3384 KB Output is correct
80 Correct 7 ms 3284 KB Output is correct
81 Correct 9 ms 3412 KB Output is correct
82 Correct 8 ms 3348 KB Output is correct
83 Correct 8 ms 3284 KB Output is correct
84 Correct 9 ms 3412 KB Output is correct
85 Correct 9 ms 3344 KB Output is correct
86 Correct 8 ms 3284 KB Output is correct
87 Correct 26 ms 4308 KB Output is correct
88 Correct 96 ms 7784 KB Output is correct
89 Correct 426 ms 19320 KB Output is correct
90 Correct 424 ms 19424 KB Output is correct
91 Correct 421 ms 19268 KB Output is correct
92 Correct 205 ms 28656 KB Output is correct
93 Correct 190 ms 28532 KB Output is correct
94 Correct 199 ms 28492 KB Output is correct
95 Correct 273 ms 23836 KB Output is correct
96 Correct 266 ms 24244 KB Output is correct
97 Correct 269 ms 24244 KB Output is correct
98 Correct 294 ms 24208 KB Output is correct
99 Correct 287 ms 23156 KB Output is correct
100 Correct 827 ms 19436 KB Output is correct
101 Correct 857 ms 19668 KB Output is correct
102 Correct 855 ms 19660 KB Output is correct
103 Correct 846 ms 19704 KB Output is correct
104 Correct 344 ms 23120 KB Output is correct
105 Correct 344 ms 23112 KB Output is correct
106 Correct 346 ms 23208 KB Output is correct
107 Correct 392 ms 18536 KB Output is correct
108 Correct 415 ms 18552 KB Output is correct
109 Correct 439 ms 19012 KB Output is correct
110 Correct 189 ms 27900 KB Output is correct
111 Correct 272 ms 23852 KB Output is correct
112 Correct 271 ms 23664 KB Output is correct
113 Correct 271 ms 22700 KB Output is correct
114 Correct 837 ms 19512 KB Output is correct
115 Correct 862 ms 19292 KB Output is correct
116 Correct 350 ms 22880 KB Output is correct
117 Correct 263 ms 20892 KB Output is correct
118 Correct 275 ms 20172 KB Output is correct
119 Correct 250 ms 19880 KB Output is correct
120 Correct 264 ms 20632 KB Output is correct
121 Correct 270 ms 19948 KB Output is correct
122 Correct 265 ms 19548 KB Output is correct
123 Correct 351 ms 21056 KB Output is correct
124 Correct 347 ms 20228 KB Output is correct
125 Correct 334 ms 19964 KB Output is correct
126 Correct 353 ms 20564 KB Output is correct
127 Correct 340 ms 19976 KB Output is correct
128 Correct 344 ms 19660 KB Output is correct