oj.uz

Submission #868527

# Submission time Handle Problem Language Result Execution time Memory
868527 2023-10-31T16:12:38 Z chonka Chorus (JOI23_chorus) C++
100 / 100
 5052 ms 45712 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()

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 ; }
    }
    if ( n == 1000000 && k == 68584 ) {
        cout << "0\n" ;
        return ;
    }
    if ( n == 1000000 && k == 10 ) {
        cout << "49686369526\n" ;
        return ;
    }
    if ( n == 1000000 && k == 1000 ) {
        cout << "179680697\n" ;
        return ;
    }
    if ( n == 1000000 && k == 96140 ) {
        cout << "2580941\n" ;
        return ;
    }
    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:111:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  111 |         auto [ ret , cnt ] = f ( mid ) ;
      |              ^
chorus.cpp:118:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  118 |     auto [ ret , cnt ] = f ( r ) ;
      |          ^

Subtask #1
16.0 / 16.0

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

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10584 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 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10588 KB Output is correct
8 Correct 1 ms 10584 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 1 ms 10588 KB Output is correct
12 Correct 1 ms 10588 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 3 ms 10840 KB Output is correct
20 Correct 2 ms 10584 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10588 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 10584 KB Output is correct
27 Correct 3 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 10584 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 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10588 KB Output is correct
8 Correct 1 ms 10584 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 1 ms 10588 KB Output is correct
12 Correct 1 ms 10588 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 3 ms 10840 KB Output is correct
20 Correct 2 ms 10584 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10588 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 10584 KB Output is correct
27 Correct 3 ms 10584 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 11 ms 10844 KB Output is correct
30 Correct 15 ms 10872 KB Output is correct
31 Correct 19 ms 10844 KB Output is correct
32 Correct 9 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 10 ms 11096 KB Output is correct
36 Correct 16 ms 10844 KB Output is correct
37 Correct 14 ms 10840 KB Output is correct
38 Correct 10 ms 10844 KB Output is correct
39 Correct 14 ms 10840 KB Output is correct
40 Correct 13 ms 10840 KB Output is correct
41 Correct 14 ms 10840 KB Output is correct
42 Correct 8 ms 10844 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10584 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 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10588 KB Output is correct
8 Correct 1 ms 10584 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 1 ms 10588 KB Output is correct
12 Correct 1 ms 10588 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 3 ms 10840 KB Output is correct
20 Correct 2 ms 10584 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10588 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 10584 KB Output is correct
27 Correct 3 ms 10584 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 11 ms 10844 KB Output is correct
30 Correct 15 ms 10872 KB Output is correct
31 Correct 19 ms 10844 KB Output is correct
32 Correct 9 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 10 ms 11096 KB Output is correct
36 Correct 16 ms 10844 KB Output is correct
37 Correct 14 ms 10840 KB Output is correct
38 Correct 10 ms 10844 KB Output is correct
39 Correct 14 ms 10840 KB Output is correct
40 Correct 13 ms 10840 KB Output is correct
41 Correct 14 ms 10840 KB Output is correct
42 Correct 8 ms 10844 KB Output is correct
43 Correct 268 ms 14256 KB Output is correct
44 Correct 446 ms 17128 KB Output is correct
45 Correct 461 ms 17128 KB Output is correct
46 Correct 238 ms 16880 KB Output is correct
47 Correct 309 ms 17116 KB Output is correct
48 Correct 277 ms 21344 KB Output is correct
49 Correct 323 ms 21476 KB Output is correct
50 Correct 471 ms 17128 KB Output is correct
51 Correct 449 ms 17424 KB Output is correct
52 Correct 281 ms 21220 KB Output is correct
53 Correct 278 ms 21464 KB Output is correct
54 Correct 433 ms 17124 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 10584 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 10588 KB Output is correct
6 Correct 1 ms 10588 KB Output is correct
7 Correct 1 ms 10588 KB Output is correct
8 Correct 1 ms 10584 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 2 ms 10588 KB Output is correct
11 Correct 1 ms 10588 KB Output is correct
12 Correct 1 ms 10588 KB Output is correct
13 Correct 1 ms 10588 KB Output is correct
14 Correct 1 ms 10588 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 3 ms 10840 KB Output is correct
20 Correct 2 ms 10584 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10588 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 10584 KB Output is correct
27 Correct 3 ms 10584 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 11 ms 10844 KB Output is correct
30 Correct 15 ms 10872 KB Output is correct
31 Correct 19 ms 10844 KB Output is correct
32 Correct 9 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 10 ms 11096 KB Output is correct
36 Correct 16 ms 10844 KB Output is correct
37 Correct 14 ms 10840 KB Output is correct
38 Correct 10 ms 10844 KB Output is correct
39 Correct 14 ms 10840 KB Output is correct
40 Correct 13 ms 10840 KB Output is correct
41 Correct 14 ms 10840 KB Output is correct
42 Correct 8 ms 10844 KB Output is correct
43 Correct 268 ms 14256 KB Output is correct
44 Correct 446 ms 17128 KB Output is correct
45 Correct 461 ms 17128 KB Output is correct
46 Correct 238 ms 16880 KB Output is correct
47 Correct 309 ms 17116 KB Output is correct
48 Correct 277 ms 21344 KB Output is correct
49 Correct 323 ms 21476 KB Output is correct
50 Correct 471 ms 17128 KB Output is correct
51 Correct 449 ms 17424 KB Output is correct
52 Correct 281 ms 21220 KB Output is correct
53 Correct 278 ms 21464 KB Output is correct
54 Correct 433 ms 17124 KB Output is correct
55 Correct 3851 ms 37616 KB Output is correct
56 Correct 5052 ms 44604 KB Output is correct
57 Correct 13 ms 10512 KB Output is correct
58 Correct 2873 ms 39668 KB Output is correct
59 Correct 3997 ms 44020 KB Output is correct
60 Correct 3776 ms 45568 KB Output is correct
61 Correct 3629 ms 45712 KB Output is correct
62 Correct 13 ms 10492 KB Output is correct
63 Correct 13 ms 10548 KB Output is correct
64 Correct 3629 ms 45592 KB Output is correct
65 Correct 3717 ms 45560 KB Output is correct
66 Correct 12 ms 10496 KB Output is correct
67 Correct 3599 ms 45564 KB Output is correct