oj.uz

Submission #868522

# Submission time Handle Problem Language Result Execution time Memory
868522 2023-10-31T15:58:26 Z chonka Chorus (JOI23_chorus) C++
100 / 100
 6646 ms 45736 KB 
#include<bits/stdc++.h>
using namespace std ;
typedef long long ll ;
typedef unsigned long long ull ;
typedef pair < int , int > pii ;
typedef vector < int > vi ;
#define fi first
#define se second
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

const int MAXN = 1e6 + 7 ;

int n , k ;
int a[ MAXN ] , b[ MAXN ] ;
int lw[ MAXN ] , ori[ MAXN ] ;
ll pref[ MAXN ] ;

inline ll calc ( int l , int r ) {
    if ( l > r ) { return 0 ; }
    if ( r <= ori[ l ] ) { return 0 ; }
    int aux_st = max ( ori[ l ] , l - 1 ) ;
    return ( pref[ r ] - pref[ aux_st ] ) - 1LL * ( r - aux_st ) * ( l - 1 ) ;
}

ll dp[ MAXN ] ;
int ctr[ MAXN ] ;


inline int get_fst ( int x , int y ) {
    int l , r , mid ;
    l = max ( x , y ) , r = n ;
    if ( make_pair ( dp[ x ] + calc ( x + 1 , n ) , ctr[ x ] ) < make_pair ( dp[ y ] + calc ( y + 1 , n ) , ctr[ y ] ) ) { return n + 1 ; }
    while ( l < r ) {
        mid = ( l + r ) / 2 ;
        if ( make_pair ( dp[ x ] + calc ( x + 1 , mid ) , ctr[ x ] ) < make_pair ( dp[ y ] + calc ( y + 1 , mid ) , ctr[ y ] ) ) { l = mid + 1 ; }
        else { r = mid ; }
    }
    return l ;
}

int ord[ MAXN ] ;
int nxt[ MAXN ] ;

pair < ll , int > f ( ll sr ) {
    int lo = 1 , hi = 1 ;
    ord[ lo ] = 0 ;
    int sz = 1 ;
    for ( int i = 1 ; i <= n ; ++ i ) {
        while ( sz >= 2 && nxt[ lo ] <= i ) {
            ++ lo , -- sz ;
        }
        int x = ord[ lo ] ;
        dp[ i ] = dp[ x ] + calc ( x + 1 , i ) + sr ;
        ctr[ i ] = ctr[ x ] + 1 ;
        if ( ctr[ x ] >= k ) { return { 0 , n + 1 } ; }

        while ( sz >= 2 && nxt[ hi - 1 ] >= ( nxt[ hi ] = get_fst ( ord[ hi ] , i ) ) ) { 
            -- hi , -- sz ;
        }
        if ( sz == 1 ) { nxt[ hi ] = get_fst ( ord[ hi ] , i ) ; }
        ord[ ++ hi ] = i ;
        ++ sz ;
    }
    return { dp[ n ] , ctr[ n ] } ;
}

void solve ( ) {
    cin >> n >> k ;
    string s ; cin >> s ;
    int pos1 = 0 , pos2 = 0 ;
    for ( int i = 1 ; i <= 2 * n ; ++ i ) {
        if ( s[ i - 1 ] == 'A' ) { a[ ++ pos1 ] = i ; }
        else { b[ ++ pos2 ] = i ; }
    }
    int tp = 0 ;
    for ( int i = 1 ; i <= n ; ++ i ) {
        while ( tp < n && b[ tp + 1 ] < a[ i ] ) { ++ tp ; }
        lw[ i ] = tp ;
        pref[ i ] = pref[ i - 1 ] + lw[ i ] ;
    }
    pref[ n + 1 ] = pref[ n ] ;
    tp = 0 ;
    for ( int i = 1 ; i <= n ; ++ i ) {
        while ( tp < n && lw[ tp + 1 ] < i ) { ++ tp ; }
        ori[ i ] = tp ;
    }
    ll l , r , mid ;
    l = -1 , r = pref[ n ] + 1 ;
    while ( l < r ) {
        mid = ( l + r ) / 2 ;
        auto [ ret , cnt ] = f ( mid ) ;
        if ( cnt > k ) { l = mid + 1 ; }
        else { 
            if ( mid == r ) { break ; }
            r = mid ;
        }
    }
    auto [ ret , cnt ] = f ( r ) ;
    cout << ret - k * r << "\n" ;
}

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

Compilation message

chorus.cpp: In function 'void solve()':
chorus.cpp:98:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   98 |         auto [ ret , cnt ] = f ( mid ) ;
      |              ^
chorus.cpp:105:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  105 |     auto [ ret , cnt ] = f ( r ) ;
      |          ^

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10584 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10744 KB Output is correct
10 Correct 1 ms 10716 KB Output is correct
11 Correct 1 ms 10584 KB Output is correct
12 Correct 1 ms 10584 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 1 ms 10588 KB Output is correct
16 Correct 2 ms 10740 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10584 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10744 KB Output is correct
10 Correct 1 ms 10716 KB Output is correct
11 Correct 1 ms 10584 KB Output is correct
12 Correct 1 ms 10584 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 1 ms 10588 KB Output is correct
16 Correct 2 ms 10740 KB Output is correct
17 Correct 2 ms 10584 KB Output is correct
18 Correct 2 ms 10756 KB Output is correct
19 Correct 2 ms 10588 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10724 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 2 ms 10588 KB Output is correct
25 Correct 2 ms 10588 KB Output is correct
26 Correct 2 ms 10588 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10584 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10744 KB Output is correct
10 Correct 1 ms 10716 KB Output is correct
11 Correct 1 ms 10584 KB Output is correct
12 Correct 1 ms 10584 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 1 ms 10588 KB Output is correct
16 Correct 2 ms 10740 KB Output is correct
17 Correct 2 ms 10584 KB Output is correct
18 Correct 2 ms 10756 KB Output is correct
19 Correct 2 ms 10588 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10724 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 2 ms 10588 KB Output is correct
25 Correct 2 ms 10588 KB Output is correct
26 Correct 2 ms 10588 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 12 ms 10844 KB Output is correct
30 Correct 16 ms 10844 KB Output is correct
31 Correct 17 ms 10844 KB Output is correct
32 Correct 8 ms 10844 KB Output is correct
33 Correct 11 ms 10844 KB Output is correct
34 Correct 10 ms 10844 KB Output is correct
35 Correct 11 ms 10844 KB Output is correct
36 Correct 17 ms 10872 KB Output is correct
37 Correct 15 ms 10844 KB Output is correct
38 Correct 10 ms 10844 KB Output is correct
39 Correct 13 ms 10844 KB Output is correct
40 Correct 13 ms 10844 KB Output is correct
41 Correct 13 ms 10844 KB Output is correct
42 Correct 8 ms 10824 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10584 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10744 KB Output is correct
10 Correct 1 ms 10716 KB Output is correct
11 Correct 1 ms 10584 KB Output is correct
12 Correct 1 ms 10584 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 1 ms 10588 KB Output is correct
16 Correct 2 ms 10740 KB Output is correct
17 Correct 2 ms 10584 KB Output is correct
18 Correct 2 ms 10756 KB Output is correct
19 Correct 2 ms 10588 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10724 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 2 ms 10588 KB Output is correct
25 Correct 2 ms 10588 KB Output is correct
26 Correct 2 ms 10588 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 12 ms 10844 KB Output is correct
30 Correct 16 ms 10844 KB Output is correct
31 Correct 17 ms 10844 KB Output is correct
32 Correct 8 ms 10844 KB Output is correct
33 Correct 11 ms 10844 KB Output is correct
34 Correct 10 ms 10844 KB Output is correct
35 Correct 11 ms 10844 KB Output is correct
36 Correct 17 ms 10872 KB Output is correct
37 Correct 15 ms 10844 KB Output is correct
38 Correct 10 ms 10844 KB Output is correct
39 Correct 13 ms 10844 KB Output is correct
40 Correct 13 ms 10844 KB Output is correct
41 Correct 13 ms 10844 KB Output is correct
42 Correct 8 ms 10824 KB Output is correct
43 Correct 267 ms 14512 KB Output is correct
44 Correct 473 ms 17452 KB Output is correct
45 Correct 485 ms 17480 KB Output is correct
46 Correct 216 ms 16880 KB Output is correct
47 Correct 327 ms 17144 KB Output is correct
48 Correct 277 ms 21216 KB Output is correct
49 Correct 297 ms 21328 KB Output is correct
50 Correct 462 ms 17136 KB Output is correct
51 Correct 476 ms 17212 KB Output is correct
52 Correct 281 ms 21248 KB Output is correct
53 Correct 274 ms 21272 KB Output is correct
54 Correct 483 ms 17372 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10588 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10584 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10744 KB Output is correct
10 Correct 1 ms 10716 KB Output is correct
11 Correct 1 ms 10584 KB Output is correct
12 Correct 1 ms 10584 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 1 ms 10588 KB Output is correct
16 Correct 2 ms 10740 KB Output is correct
17 Correct 2 ms 10584 KB Output is correct
18 Correct 2 ms 10756 KB Output is correct
19 Correct 2 ms 10588 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10724 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 2 ms 10588 KB Output is correct
25 Correct 2 ms 10588 KB Output is correct
26 Correct 2 ms 10588 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 12 ms 10844 KB Output is correct
30 Correct 16 ms 10844 KB Output is correct
31 Correct 17 ms 10844 KB Output is correct
32 Correct 8 ms 10844 KB Output is correct
33 Correct 11 ms 10844 KB Output is correct
34 Correct 10 ms 10844 KB Output is correct
35 Correct 11 ms 10844 KB Output is correct
36 Correct 17 ms 10872 KB Output is correct
37 Correct 15 ms 10844 KB Output is correct
38 Correct 10 ms 10844 KB Output is correct
39 Correct 13 ms 10844 KB Output is correct
40 Correct 13 ms 10844 KB Output is correct
41 Correct 13 ms 10844 KB Output is correct
42 Correct 8 ms 10824 KB Output is correct
43 Correct 267 ms 14512 KB Output is correct
44 Correct 473 ms 17452 KB Output is correct
45 Correct 485 ms 17480 KB Output is correct
46 Correct 216 ms 16880 KB Output is correct
47 Correct 327 ms 17144 KB Output is correct
48 Correct 277 ms 21216 KB Output is correct
49 Correct 297 ms 21328 KB Output is correct
50 Correct 462 ms 17136 KB Output is correct
51 Correct 476 ms 17212 KB Output is correct
52 Correct 281 ms 21248 KB Output is correct
53 Correct 274 ms 21272 KB Output is correct
54 Correct 483 ms 17372 KB Output is correct
55 Correct 3943 ms 37548 KB Output is correct
56 Correct 5150 ms 44528 KB Output is correct
57 Correct 6470 ms 44020 KB Output is correct
58 Correct 2795 ms 39664 KB Output is correct
59 Correct 3963 ms 44016 KB Output is correct
60 Correct 3747 ms 45556 KB Output is correct
61 Correct 3733 ms 45696 KB Output is correct
62 Correct 6409 ms 43908 KB Output is correct
63 Correct 6646 ms 44020 KB Output is correct
64 Correct 3620 ms 45596 KB Output is correct
65 Correct 3691 ms 45556 KB Output is correct
66 Correct 5973 ms 44020 KB Output is correct
67 Correct 3647 ms 45736 KB Output is correct