oj.uz

Submission #868518

# Submission time Handle Problem Language Result Execution time Memory
868518 2023-10-31T15:49:48 Z chonka Chorus (JOI23_chorus) C++
100 / 100
 6405 ms 47768 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 ;

        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 = ( 1LL << 41 ) ;
    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:94:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   94 |         auto [ ret , cnt ] = f ( mid ) ;
      |              ^
chorus.cpp:101:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  101 |     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 2 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10840 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 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10840 KB Output is correct
10 Correct 1 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 1 ms 10588 KB Output is correct
16 Correct 1 ms 10588 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 2 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10840 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 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10840 KB Output is correct
10 Correct 1 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 1 ms 10588 KB Output is correct
16 Correct 1 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 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 10588 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 3 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 10588 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 2 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10840 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 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10840 KB Output is correct
10 Correct 1 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 1 ms 10588 KB Output is correct
16 Correct 1 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 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 10588 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 3 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 10588 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 15 ms 10844 KB Output is correct
30 Correct 20 ms 10876 KB Output is correct
31 Correct 21 ms 10880 KB Output is correct
32 Correct 13 ms 10844 KB Output is correct
33 Correct 16 ms 10844 KB Output is correct
34 Correct 15 ms 10844 KB Output is correct
35 Correct 19 ms 10868 KB Output is correct
36 Correct 24 ms 10844 KB Output is correct
37 Correct 19 ms 10844 KB Output is correct
38 Correct 14 ms 10844 KB Output is correct
39 Correct 17 ms 10884 KB Output is correct
40 Correct 17 ms 10840 KB Output is correct
41 Correct 17 ms 10844 KB Output is correct
42 Correct 11 ms 10844 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 2 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10840 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 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10840 KB Output is correct
10 Correct 1 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 1 ms 10588 KB Output is correct
16 Correct 1 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 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 10588 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 3 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 10588 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 15 ms 10844 KB Output is correct
30 Correct 20 ms 10876 KB Output is correct
31 Correct 21 ms 10880 KB Output is correct
32 Correct 13 ms 10844 KB Output is correct
33 Correct 16 ms 10844 KB Output is correct
34 Correct 15 ms 10844 KB Output is correct
35 Correct 19 ms 10868 KB Output is correct
36 Correct 24 ms 10844 KB Output is correct
37 Correct 19 ms 10844 KB Output is correct
38 Correct 14 ms 10844 KB Output is correct
39 Correct 17 ms 10884 KB Output is correct
40 Correct 17 ms 10840 KB Output is correct
41 Correct 17 ms 10844 KB Output is correct
42 Correct 11 ms 10844 KB Output is correct
43 Correct 301 ms 14420 KB Output is correct
44 Correct 478 ms 17220 KB Output is correct
45 Correct 502 ms 17248 KB Output is correct
46 Correct 259 ms 17076 KB Output is correct
47 Correct 349 ms 17100 KB Output is correct
48 Correct 332 ms 21352 KB Output is correct
49 Correct 318 ms 21216 KB Output is correct
50 Correct 492 ms 17072 KB Output is correct
51 Correct 499 ms 17176 KB Output is correct
52 Correct 322 ms 21292 KB Output is correct
53 Correct 332 ms 21208 KB Output is correct
54 Correct 460 ms 19292 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 2 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10840 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 10584 KB Output is correct
8 Correct 1 ms 10588 KB Output is correct
9 Correct 1 ms 10840 KB Output is correct
10 Correct 1 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 1 ms 10588 KB Output is correct
16 Correct 1 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 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 10588 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 3 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 10588 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 15 ms 10844 KB Output is correct
30 Correct 20 ms 10876 KB Output is correct
31 Correct 21 ms 10880 KB Output is correct
32 Correct 13 ms 10844 KB Output is correct
33 Correct 16 ms 10844 KB Output is correct
34 Correct 15 ms 10844 KB Output is correct
35 Correct 19 ms 10868 KB Output is correct
36 Correct 24 ms 10844 KB Output is correct
37 Correct 19 ms 10844 KB Output is correct
38 Correct 14 ms 10844 KB Output is correct
39 Correct 17 ms 10884 KB Output is correct
40 Correct 17 ms 10840 KB Output is correct
41 Correct 17 ms 10844 KB Output is correct
42 Correct 11 ms 10844 KB Output is correct
43 Correct 301 ms 14420 KB Output is correct
44 Correct 478 ms 17220 KB Output is correct
45 Correct 502 ms 17248 KB Output is correct
46 Correct 259 ms 17076 KB Output is correct
47 Correct 349 ms 17100 KB Output is correct
48 Correct 332 ms 21352 KB Output is correct
49 Correct 318 ms 21216 KB Output is correct
50 Correct 492 ms 17072 KB Output is correct
51 Correct 499 ms 17176 KB Output is correct
52 Correct 322 ms 21292 KB Output is correct
53 Correct 332 ms 21208 KB Output is correct
54 Correct 460 ms 19292 KB Output is correct
55 Correct 3968 ms 37552 KB Output is correct
56 Correct 5050 ms 44680 KB Output is correct
57 Correct 6405 ms 43916 KB Output is correct
58 Correct 2923 ms 44020 KB Output is correct
59 Correct 4059 ms 45888 KB Output is correct
60 Correct 3661 ms 47412 KB Output is correct
61 Correct 3753 ms 47320 KB Output is correct
62 Correct 6124 ms 46056 KB Output is correct
63 Correct 6257 ms 46184 KB Output is correct
64 Correct 3542 ms 47768 KB Output is correct
65 Correct 3721 ms 47592 KB Output is correct
66 Correct 5489 ms 46196 KB Output is correct
67 Correct 3644 ms 47728 KB Output is correct