/*************************************
* author: marvinthang *
* created: 07.07.2023 10:11:54 *
*************************************/
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i--; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
template <class A, class B> bool minimize(A &a, B b) { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b) { if (a < b) { a = b; return true; } return false; }
// end of template
const int MAX = 5005;
const long long INF = 1e18;
int N, K;
string S;
vector <int> pos[2];
void init(void) {
cin >> N >> K >> S;
}
long long cost[MAX][MAX];
long long dp[MAX];
int cnt[MAX];
void calc(long long c) {
FORE(i, 1, N) {
dp[i] = INF;
cnt[i] = i;
REP(j, i) {
if (minimize(dp[i], dp[j] + cost[j][i - 1] + c)) cnt[i] = cnt[j] + 1;
else if (dp[i] == dp[j] + cost[j][i - 1] + c) minimize(cnt[i], cnt[j] + 1);
}
}
}
void process(void) {
REP(i, 2 * N) pos[S[i] - 'A'].push_back(i);
REP(l, N) {
int p = l;
long long cur = 0;
FOR(r, l, N) {
while (p < N && pos[1][p] < pos[0][r]) ++p;
cur += p - l;
cost[l][r] = cur;
}
}
long long l = 0, r = INF;
while (l <= r) {
long long m = l + r >> 1;
calc(m);
if (cnt[N] <= K) r = m - 1;
else l = m + 1;
}
calc(l);
cout << dp[N] - l * K << '\n';
}
int main(void) {
ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
file("chorus");
init();
process();
cerr << "Time elapsed: " << TIME << " s.\n";
return (0^0);
}
Compilation message
chorus.cpp: In function 'void process()':
chorus.cpp:86:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
86 | long long m = l + r >> 1;
| ~~^~~
chorus.cpp: In function 'int main()':
chorus.cpp:30:61: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
30 | #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
chorus.cpp:98:2: note: in expansion of macro 'file'
98 | file("chorus");
| ^~~~
chorus.cpp:30:94: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
30 | #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
chorus.cpp:98:2: note: in expansion of macro 'file'
98 | file("chorus");
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
1108 KB |
Output is correct |
18 |
Correct |
10 ms |
3360 KB |
Output is correct |
19 |
Correct |
10 ms |
3284 KB |
Output is correct |
20 |
Correct |
9 ms |
3284 KB |
Output is correct |
21 |
Correct |
9 ms |
3284 KB |
Output is correct |
22 |
Correct |
9 ms |
3284 KB |
Output is correct |
23 |
Correct |
9 ms |
3284 KB |
Output is correct |
24 |
Correct |
12 ms |
3356 KB |
Output is correct |
25 |
Correct |
11 ms |
3352 KB |
Output is correct |
26 |
Correct |
11 ms |
3356 KB |
Output is correct |
27 |
Correct |
10 ms |
3344 KB |
Output is correct |
28 |
Correct |
9 ms |
3352 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
1108 KB |
Output is correct |
18 |
Correct |
10 ms |
3360 KB |
Output is correct |
19 |
Correct |
10 ms |
3284 KB |
Output is correct |
20 |
Correct |
9 ms |
3284 KB |
Output is correct |
21 |
Correct |
9 ms |
3284 KB |
Output is correct |
22 |
Correct |
9 ms |
3284 KB |
Output is correct |
23 |
Correct |
9 ms |
3284 KB |
Output is correct |
24 |
Correct |
12 ms |
3356 KB |
Output is correct |
25 |
Correct |
11 ms |
3352 KB |
Output is correct |
26 |
Correct |
11 ms |
3356 KB |
Output is correct |
27 |
Correct |
10 ms |
3344 KB |
Output is correct |
28 |
Correct |
9 ms |
3352 KB |
Output is correct |
29 |
Correct |
5650 ms |
114256 KB |
Output is correct |
30 |
Correct |
6068 ms |
117488 KB |
Output is correct |
31 |
Correct |
6133 ms |
117492 KB |
Output is correct |
32 |
Correct |
6257 ms |
117568 KB |
Output is correct |
33 |
Correct |
6183 ms |
117476 KB |
Output is correct |
34 |
Correct |
6272 ms |
117484 KB |
Output is correct |
35 |
Correct |
6099 ms |
117484 KB |
Output is correct |
36 |
Correct |
6241 ms |
117488 KB |
Output is correct |
37 |
Correct |
6149 ms |
117496 KB |
Output is correct |
38 |
Correct |
6101 ms |
117500 KB |
Output is correct |
39 |
Correct |
6000 ms |
117568 KB |
Output is correct |
40 |
Correct |
6099 ms |
117452 KB |
Output is correct |
41 |
Correct |
6086 ms |
117456 KB |
Output is correct |
42 |
Correct |
6127 ms |
117488 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
1108 KB |
Output is correct |
18 |
Correct |
10 ms |
3360 KB |
Output is correct |
19 |
Correct |
10 ms |
3284 KB |
Output is correct |
20 |
Correct |
9 ms |
3284 KB |
Output is correct |
21 |
Correct |
9 ms |
3284 KB |
Output is correct |
22 |
Correct |
9 ms |
3284 KB |
Output is correct |
23 |
Correct |
9 ms |
3284 KB |
Output is correct |
24 |
Correct |
12 ms |
3356 KB |
Output is correct |
25 |
Correct |
11 ms |
3352 KB |
Output is correct |
26 |
Correct |
11 ms |
3356 KB |
Output is correct |
27 |
Correct |
10 ms |
3344 KB |
Output is correct |
28 |
Correct |
9 ms |
3352 KB |
Output is correct |
29 |
Correct |
5650 ms |
114256 KB |
Output is correct |
30 |
Correct |
6068 ms |
117488 KB |
Output is correct |
31 |
Correct |
6133 ms |
117492 KB |
Output is correct |
32 |
Correct |
6257 ms |
117568 KB |
Output is correct |
33 |
Correct |
6183 ms |
117476 KB |
Output is correct |
34 |
Correct |
6272 ms |
117484 KB |
Output is correct |
35 |
Correct |
6099 ms |
117484 KB |
Output is correct |
36 |
Correct |
6241 ms |
117488 KB |
Output is correct |
37 |
Correct |
6149 ms |
117496 KB |
Output is correct |
38 |
Correct |
6101 ms |
117500 KB |
Output is correct |
39 |
Correct |
6000 ms |
117568 KB |
Output is correct |
40 |
Correct |
6099 ms |
117452 KB |
Output is correct |
41 |
Correct |
6086 ms |
117456 KB |
Output is correct |
42 |
Correct |
6127 ms |
117488 KB |
Output is correct |
43 |
Runtime error |
2971 ms |
399744 KB |
Execution killed with signal 11 |
44 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
1108 KB |
Output is correct |
18 |
Correct |
10 ms |
3360 KB |
Output is correct |
19 |
Correct |
10 ms |
3284 KB |
Output is correct |
20 |
Correct |
9 ms |
3284 KB |
Output is correct |
21 |
Correct |
9 ms |
3284 KB |
Output is correct |
22 |
Correct |
9 ms |
3284 KB |
Output is correct |
23 |
Correct |
9 ms |
3284 KB |
Output is correct |
24 |
Correct |
12 ms |
3356 KB |
Output is correct |
25 |
Correct |
11 ms |
3352 KB |
Output is correct |
26 |
Correct |
11 ms |
3356 KB |
Output is correct |
27 |
Correct |
10 ms |
3344 KB |
Output is correct |
28 |
Correct |
9 ms |
3352 KB |
Output is correct |
29 |
Correct |
5650 ms |
114256 KB |
Output is correct |
30 |
Correct |
6068 ms |
117488 KB |
Output is correct |
31 |
Correct |
6133 ms |
117492 KB |
Output is correct |
32 |
Correct |
6257 ms |
117568 KB |
Output is correct |
33 |
Correct |
6183 ms |
117476 KB |
Output is correct |
34 |
Correct |
6272 ms |
117484 KB |
Output is correct |
35 |
Correct |
6099 ms |
117484 KB |
Output is correct |
36 |
Correct |
6241 ms |
117488 KB |
Output is correct |
37 |
Correct |
6149 ms |
117496 KB |
Output is correct |
38 |
Correct |
6101 ms |
117500 KB |
Output is correct |
39 |
Correct |
6000 ms |
117568 KB |
Output is correct |
40 |
Correct |
6099 ms |
117452 KB |
Output is correct |
41 |
Correct |
6086 ms |
117456 KB |
Output is correct |
42 |
Correct |
6127 ms |
117488 KB |
Output is correct |
43 |
Runtime error |
2971 ms |
399744 KB |
Execution killed with signal 11 |
44 |
Halted |
0 ms |
0 KB |
- |