#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 ; }
}
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:95:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
95 | auto [ ret , cnt ] = f ( mid ) ;
| ^
chorus.cpp:102:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
102 | auto [ ret , cnt ] = f ( r ) ;
| ^
# |
결과 |
실행 시간 |
메모리 |
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 |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
10588 KB |
Output is correct |
7 |
Correct |
2 ms |
10588 KB |
Output is correct |
8 |
Correct |
1 ms |
10588 KB |
Output is correct |
9 |
Correct |
2 ms |
10588 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 |
2 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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
10588 KB |
Output is correct |
7 |
Correct |
2 ms |
10588 KB |
Output is correct |
8 |
Correct |
1 ms |
10588 KB |
Output is correct |
9 |
Correct |
2 ms |
10588 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 |
2 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 |
3 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 |
10708 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 |
10584 KB |
Output is correct |
27 |
Correct |
2 ms |
10588 KB |
Output is correct |
28 |
Correct |
3 ms |
10588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
10588 KB |
Output is correct |
7 |
Correct |
2 ms |
10588 KB |
Output is correct |
8 |
Correct |
1 ms |
10588 KB |
Output is correct |
9 |
Correct |
2 ms |
10588 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 |
2 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 |
3 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 |
10708 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 |
10584 KB |
Output is correct |
27 |
Correct |
2 ms |
10588 KB |
Output is correct |
28 |
Correct |
3 ms |
10588 KB |
Output is correct |
29 |
Correct |
16 ms |
10840 KB |
Output is correct |
30 |
Correct |
21 ms |
10844 KB |
Output is correct |
31 |
Correct |
21 ms |
10844 KB |
Output is correct |
32 |
Correct |
13 ms |
10864 KB |
Output is correct |
33 |
Correct |
17 ms |
10876 KB |
Output is correct |
34 |
Correct |
16 ms |
10844 KB |
Output is correct |
35 |
Correct |
15 ms |
10844 KB |
Output is correct |
36 |
Correct |
21 ms |
10844 KB |
Output is correct |
37 |
Correct |
19 ms |
10844 KB |
Output is correct |
38 |
Correct |
15 ms |
10800 KB |
Output is correct |
39 |
Correct |
18 ms |
10876 KB |
Output is correct |
40 |
Correct |
18 ms |
10844 KB |
Output is correct |
41 |
Correct |
18 ms |
11096 KB |
Output is correct |
42 |
Correct |
11 ms |
10840 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
10588 KB |
Output is correct |
7 |
Correct |
2 ms |
10588 KB |
Output is correct |
8 |
Correct |
1 ms |
10588 KB |
Output is correct |
9 |
Correct |
2 ms |
10588 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 |
2 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 |
3 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 |
10708 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 |
10584 KB |
Output is correct |
27 |
Correct |
2 ms |
10588 KB |
Output is correct |
28 |
Correct |
3 ms |
10588 KB |
Output is correct |
29 |
Correct |
16 ms |
10840 KB |
Output is correct |
30 |
Correct |
21 ms |
10844 KB |
Output is correct |
31 |
Correct |
21 ms |
10844 KB |
Output is correct |
32 |
Correct |
13 ms |
10864 KB |
Output is correct |
33 |
Correct |
17 ms |
10876 KB |
Output is correct |
34 |
Correct |
16 ms |
10844 KB |
Output is correct |
35 |
Correct |
15 ms |
10844 KB |
Output is correct |
36 |
Correct |
21 ms |
10844 KB |
Output is correct |
37 |
Correct |
19 ms |
10844 KB |
Output is correct |
38 |
Correct |
15 ms |
10800 KB |
Output is correct |
39 |
Correct |
18 ms |
10876 KB |
Output is correct |
40 |
Correct |
18 ms |
10844 KB |
Output is correct |
41 |
Correct |
18 ms |
11096 KB |
Output is correct |
42 |
Correct |
11 ms |
10840 KB |
Output is correct |
43 |
Correct |
308 ms |
14248 KB |
Output is correct |
44 |
Correct |
503 ms |
17468 KB |
Output is correct |
45 |
Correct |
514 ms |
17216 KB |
Output is correct |
46 |
Correct |
273 ms |
17024 KB |
Output is correct |
47 |
Correct |
390 ms |
17076 KB |
Output is correct |
48 |
Correct |
331 ms |
21212 KB |
Output is correct |
49 |
Correct |
331 ms |
21196 KB |
Output is correct |
50 |
Correct |
508 ms |
17460 KB |
Output is correct |
51 |
Correct |
504 ms |
17180 KB |
Output is correct |
52 |
Correct |
357 ms |
21184 KB |
Output is correct |
53 |
Correct |
326 ms |
21168 KB |
Output is correct |
54 |
Correct |
478 ms |
17116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
10588 KB |
Output is correct |
6 |
Correct |
2 ms |
10588 KB |
Output is correct |
7 |
Correct |
2 ms |
10588 KB |
Output is correct |
8 |
Correct |
1 ms |
10588 KB |
Output is correct |
9 |
Correct |
2 ms |
10588 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 |
2 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 |
3 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 |
10708 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 |
10584 KB |
Output is correct |
27 |
Correct |
2 ms |
10588 KB |
Output is correct |
28 |
Correct |
3 ms |
10588 KB |
Output is correct |
29 |
Correct |
16 ms |
10840 KB |
Output is correct |
30 |
Correct |
21 ms |
10844 KB |
Output is correct |
31 |
Correct |
21 ms |
10844 KB |
Output is correct |
32 |
Correct |
13 ms |
10864 KB |
Output is correct |
33 |
Correct |
17 ms |
10876 KB |
Output is correct |
34 |
Correct |
16 ms |
10844 KB |
Output is correct |
35 |
Correct |
15 ms |
10844 KB |
Output is correct |
36 |
Correct |
21 ms |
10844 KB |
Output is correct |
37 |
Correct |
19 ms |
10844 KB |
Output is correct |
38 |
Correct |
15 ms |
10800 KB |
Output is correct |
39 |
Correct |
18 ms |
10876 KB |
Output is correct |
40 |
Correct |
18 ms |
10844 KB |
Output is correct |
41 |
Correct |
18 ms |
11096 KB |
Output is correct |
42 |
Correct |
11 ms |
10840 KB |
Output is correct |
43 |
Correct |
308 ms |
14248 KB |
Output is correct |
44 |
Correct |
503 ms |
17468 KB |
Output is correct |
45 |
Correct |
514 ms |
17216 KB |
Output is correct |
46 |
Correct |
273 ms |
17024 KB |
Output is correct |
47 |
Correct |
390 ms |
17076 KB |
Output is correct |
48 |
Correct |
331 ms |
21212 KB |
Output is correct |
49 |
Correct |
331 ms |
21196 KB |
Output is correct |
50 |
Correct |
508 ms |
17460 KB |
Output is correct |
51 |
Correct |
504 ms |
17180 KB |
Output is correct |
52 |
Correct |
357 ms |
21184 KB |
Output is correct |
53 |
Correct |
326 ms |
21168 KB |
Output is correct |
54 |
Correct |
478 ms |
17116 KB |
Output is correct |
55 |
Correct |
4008 ms |
37552 KB |
Output is correct |
56 |
Correct |
5336 ms |
44676 KB |
Output is correct |
57 |
Correct |
6562 ms |
44020 KB |
Output is correct |
58 |
Correct |
2961 ms |
44016 KB |
Output is correct |
59 |
Correct |
4136 ms |
44016 KB |
Output is correct |
60 |
Correct |
3924 ms |
45556 KB |
Output is correct |
61 |
Correct |
3893 ms |
45568 KB |
Output is correct |
62 |
Correct |
6322 ms |
43920 KB |
Output is correct |
63 |
Correct |
6510 ms |
43964 KB |
Output is correct |
64 |
Correct |
3745 ms |
45448 KB |
Output is correct |
65 |
Correct |
3797 ms |
45624 KB |
Output is correct |
66 |
Correct |
5783 ms |
44088 KB |
Output is correct |
67 |
Correct |
3909 ms |
45636 KB |
Output is correct |