/**
_ _ __ _ _ _ _ _ _
|a ||t ||o d | |o |
| __ _| | _ | __| _ |
| __ |/_ | __ /__\ / _\|
**/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const int N_MAX = 2000000;
const ll INF = LLONG_MAX;
const ld EPS = 1e-9;
int N, K;
int A[N_MAX + 2];
ld dp[N_MAX + 2];
int cnt[N_MAX + 2];
ll cost[N_MAX + 2];
pair <ld, int> f (int j) {
return make_pair(dp[j] + cost[j + 1], cnt[j]);
}
ll solve (ld pen) {
fill(cost + 1, cost + N + 1, 0);
deque <int> rel;
for (int i = 1; i <= N; i++) {
for (int j = 1; j <= i; j++) {
cost[j] += max(0, (A[i] - i + 1) - j);
}
pair <ld, int> mn = f(0);
for (int j = 1; j <= i - 1; j++) {
mn = min(mn, f(j));
}
tie(dp[i], cnt[i]) = mn;
dp[i] += pen; cnt[i]++;
}
return (ll) round(dp[N] - pen * K);
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout << fixed << setprecision(2);
mt19937 rnd(time(0));
cin >> N >> K;
// N = 10; K = rnd() % N + 1;
string S;
cin >> S;
// for (int i = 0; i < N * 2; i++) {
// S += (i < N ? 'A' : 'B');
// }
// shuffle(S.begin(), S.end(), rnd);
// cerr << N << " " << K << "\n";
// cerr << S << "\n";
for (int i = 0, j = 0; i < N * 2; i++) {
if (S[i] == 'A') {
A[++j] = i + 1;
}
}
ld l = 0, r = LLONG_MAX; int iter = 150;
while (iter--) {
ld mid = (l + r) / 2;
solve(mid);
if (cnt[N] <= K) {
r = mid;
} else {
l = mid + EPS;
}
}
cout << solve(l) << "\n";
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
1 ms |
2508 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
1 ms |
2508 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
8 ms |
2528 KB |
Output is correct |
| 18 |
Correct |
57 ms |
2524 KB |
Output is correct |
| 19 |
Correct |
58 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
62 ms |
2392 KB |
Output is correct |
| 21 |
Correct |
64 ms |
2560 KB |
Output is correct |
| 22 |
Correct |
59 ms |
2396 KB |
Output is correct |
| 23 |
Correct |
59 ms |
2648 KB |
Output is correct |
| 24 |
Correct |
61 ms |
2392 KB |
Output is correct |
| 25 |
Correct |
56 ms |
2392 KB |
Output is correct |
| 26 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 28 |
Correct |
55 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
1 ms |
2508 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
8 ms |
2528 KB |
Output is correct |
| 18 |
Correct |
57 ms |
2524 KB |
Output is correct |
| 19 |
Correct |
58 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
62 ms |
2392 KB |
Output is correct |
| 21 |
Correct |
64 ms |
2560 KB |
Output is correct |
| 22 |
Correct |
59 ms |
2396 KB |
Output is correct |
| 23 |
Correct |
59 ms |
2648 KB |
Output is correct |
| 24 |
Correct |
61 ms |
2392 KB |
Output is correct |
| 25 |
Correct |
56 ms |
2392 KB |
Output is correct |
| 26 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 28 |
Correct |
55 ms |
2396 KB |
Output is correct |
| 29 |
Correct |
5238 ms |
2676 KB |
Output is correct |
| 30 |
Correct |
5374 ms |
2680 KB |
Output is correct |
| 31 |
Correct |
5420 ms |
2680 KB |
Output is correct |
| 32 |
Correct |
6194 ms |
2684 KB |
Output is correct |
| 33 |
Correct |
6001 ms |
2684 KB |
Output is correct |
| 34 |
Correct |
5382 ms |
2680 KB |
Output is correct |
| 35 |
Correct |
5417 ms |
2680 KB |
Output is correct |
| 36 |
Correct |
5529 ms |
2684 KB |
Output is correct |
| 37 |
Correct |
5384 ms |
2680 KB |
Output is correct |
| 38 |
Correct |
5612 ms |
2676 KB |
Output is correct |
| 39 |
Correct |
5503 ms |
2680 KB |
Output is correct |
| 40 |
Correct |
5558 ms |
2680 KB |
Output is correct |
| 41 |
Correct |
5493 ms |
2680 KB |
Output is correct |
| 42 |
Correct |
5784 ms |
2684 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
1 ms |
2508 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
8 ms |
2528 KB |
Output is correct |
| 18 |
Correct |
57 ms |
2524 KB |
Output is correct |
| 19 |
Correct |
58 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
62 ms |
2392 KB |
Output is correct |
| 21 |
Correct |
64 ms |
2560 KB |
Output is correct |
| 22 |
Correct |
59 ms |
2396 KB |
Output is correct |
| 23 |
Correct |
59 ms |
2648 KB |
Output is correct |
| 24 |
Correct |
61 ms |
2392 KB |
Output is correct |
| 25 |
Correct |
56 ms |
2392 KB |
Output is correct |
| 26 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 28 |
Correct |
55 ms |
2396 KB |
Output is correct |
| 29 |
Correct |
5238 ms |
2676 KB |
Output is correct |
| 30 |
Correct |
5374 ms |
2680 KB |
Output is correct |
| 31 |
Correct |
5420 ms |
2680 KB |
Output is correct |
| 32 |
Correct |
6194 ms |
2684 KB |
Output is correct |
| 33 |
Correct |
6001 ms |
2684 KB |
Output is correct |
| 34 |
Correct |
5382 ms |
2680 KB |
Output is correct |
| 35 |
Correct |
5417 ms |
2680 KB |
Output is correct |
| 36 |
Correct |
5529 ms |
2684 KB |
Output is correct |
| 37 |
Correct |
5384 ms |
2680 KB |
Output is correct |
| 38 |
Correct |
5612 ms |
2676 KB |
Output is correct |
| 39 |
Correct |
5503 ms |
2680 KB |
Output is correct |
| 40 |
Correct |
5558 ms |
2680 KB |
Output is correct |
| 41 |
Correct |
5493 ms |
2680 KB |
Output is correct |
| 42 |
Correct |
5784 ms |
2684 KB |
Output is correct |
| 43 |
Execution timed out |
7102 ms |
6408 KB |
Time limit exceeded |
| 44 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
1 ms |
2508 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
8 ms |
2528 KB |
Output is correct |
| 18 |
Correct |
57 ms |
2524 KB |
Output is correct |
| 19 |
Correct |
58 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
62 ms |
2392 KB |
Output is correct |
| 21 |
Correct |
64 ms |
2560 KB |
Output is correct |
| 22 |
Correct |
59 ms |
2396 KB |
Output is correct |
| 23 |
Correct |
59 ms |
2648 KB |
Output is correct |
| 24 |
Correct |
61 ms |
2392 KB |
Output is correct |
| 25 |
Correct |
56 ms |
2392 KB |
Output is correct |
| 26 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
56 ms |
2396 KB |
Output is correct |
| 28 |
Correct |
55 ms |
2396 KB |
Output is correct |
| 29 |
Correct |
5238 ms |
2676 KB |
Output is correct |
| 30 |
Correct |
5374 ms |
2680 KB |
Output is correct |
| 31 |
Correct |
5420 ms |
2680 KB |
Output is correct |
| 32 |
Correct |
6194 ms |
2684 KB |
Output is correct |
| 33 |
Correct |
6001 ms |
2684 KB |
Output is correct |
| 34 |
Correct |
5382 ms |
2680 KB |
Output is correct |
| 35 |
Correct |
5417 ms |
2680 KB |
Output is correct |
| 36 |
Correct |
5529 ms |
2684 KB |
Output is correct |
| 37 |
Correct |
5384 ms |
2680 KB |
Output is correct |
| 38 |
Correct |
5612 ms |
2676 KB |
Output is correct |
| 39 |
Correct |
5503 ms |
2680 KB |
Output is correct |
| 40 |
Correct |
5558 ms |
2680 KB |
Output is correct |
| 41 |
Correct |
5493 ms |
2680 KB |
Output is correct |
| 42 |
Correct |
5784 ms |
2684 KB |
Output is correct |
| 43 |
Execution timed out |
7102 ms |
6408 KB |
Time limit exceeded |
| 44 |
Halted |
0 ms |
0 KB |
- |
