oj.uz

Submission #1041715

# Submission time Handle Problem Language Result Execution time Memory
1041715 2024-08-02T07:21:46 Z abczz Chorus (JOI23_chorus) C++17
40 / 100
 7000 ms 16412 KB 
#include <iostream>
#include <algorithm>
#include <deque>
#include <vector>
#include <array>
#define ll long long

using namespace std;

ll n, k, dp[2][1000000];
vector <ll> A, B, nxA, ps;
string S;

ll C(ll l, ll r) {
  if (nxA[l] > r) return 0;
  ll nx = max(l, nxA[l]), cnt = r-nx+1, cnt2 = max(0LL, l-nxA[l]);
  return ps[r]-(nx ? ps[nx-1] : 0)-cnt*B[l]-cnt*(cnt-1)/2-(r-l+1)*cnt2;
}

void solve(ll l, ll r, ll ql, ll qr) {
  ll mid = (l+r)/2;
  ll opt = 1e18, optid = -1, tmp;
  for (int i=ql; i<mid; ++i) {
    tmp = dp[0][i] + C(i+1, mid);
    if (opt > tmp) {
      opt = tmp;
      optid = i;
    }
  }
  dp[1][mid] = opt;
  if (l < mid) solve(l, mid-1, ql, optid);
  if (mid < r) solve(mid+1, r, optid, qr);
}

int main() {
  cin >> n >> k >> S;
  for (int i=0; i<2*n; ++i) {
    if (S[i] == 'A') {
      ps.push_back((ps.empty() ? 0 : ps.back()) + i);
      A.push_back(i);
    }
    else {
      B.push_back(i);
      nxA.push_back(A.size());
    }
  }
  for (int i=0; i<n; ++i) dp[0][i] = C(0, i);
  for (int x=1; x<k; ++x) {
    solve(0, n-1, 0, n-1);
    swap(dp[0], dp[1]);
  }
  cout << dp[0][n-1] << '\n';
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 15964 KB Output is correct
2 Correct 7 ms 15964 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 6 ms 16056 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 15964 KB Output is correct
7 Correct 7 ms 15964 KB Output is correct
8 Correct 6 ms 15964 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 6 ms 15892 KB Output is correct
11 Correct 10 ms 15964 KB Output is correct
12 Correct 11 ms 15988 KB Output is correct
13 Correct 13 ms 15960 KB Output is correct
14 Correct 6 ms 15876 KB Output is correct
15 Correct 7 ms 15964 KB Output is correct
16 Correct 7 ms 15964 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 15964 KB Output is correct
2 Correct 7 ms 15964 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 6 ms 16056 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 15964 KB Output is correct
7 Correct 7 ms 15964 KB Output is correct
8 Correct 6 ms 15964 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 6 ms 15892 KB Output is correct
11 Correct 10 ms 15964 KB Output is correct
12 Correct 11 ms 15988 KB Output is correct
13 Correct 13 ms 15960 KB Output is correct
14 Correct 6 ms 15876 KB Output is correct
15 Correct 7 ms 15964 KB Output is correct
16 Correct 7 ms 15964 KB Output is correct
17 Correct 38 ms 15964 KB Output is correct
18 Correct 62 ms 16096 KB Output is correct
19 Correct 177 ms 16096 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 6 ms 15872 KB Output is correct
22 Correct 318 ms 15964 KB Output is correct
23 Correct 337 ms 16096 KB Output is correct
24 Correct 12 ms 15960 KB Output is correct
25 Correct 311 ms 15960 KB Output is correct
26 Correct 266 ms 15960 KB Output is correct
27 Correct 109 ms 15960 KB Output is correct
28 Correct 109 ms 16096 KB Output is correct

Subtask #3
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 15964 KB Output is correct
2 Correct 7 ms 15964 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 6 ms 16056 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 15964 KB Output is correct
7 Correct 7 ms 15964 KB Output is correct
8 Correct 6 ms 15964 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 6 ms 15892 KB Output is correct
11 Correct 10 ms 15964 KB Output is correct
12 Correct 11 ms 15988 KB Output is correct
13 Correct 13 ms 15960 KB Output is correct
14 Correct 6 ms 15876 KB Output is correct
15 Correct 7 ms 15964 KB Output is correct
16 Correct 7 ms 15964 KB Output is correct
17 Correct 38 ms 15964 KB Output is correct
18 Correct 62 ms 16096 KB Output is correct
19 Correct 177 ms 16096 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 6 ms 15872 KB Output is correct
22 Correct 318 ms 15964 KB Output is correct
23 Correct 337 ms 16096 KB Output is correct
24 Correct 12 ms 15960 KB Output is correct
25 Correct 311 ms 15960 KB Output is correct
26 Correct 266 ms 15960 KB Output is correct
27 Correct 109 ms 15960 KB Output is correct
28 Correct 109 ms 16096 KB Output is correct
29 Correct 1712 ms 16368 KB Output is correct
30 Correct 5313 ms 16220 KB Output is correct
31 Correct 1452 ms 16412 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 21 ms 16172 KB Output is correct
34 Correct 3840 ms 16392 KB Output is correct
35 Correct 3819 ms 16212 KB Output is correct
36 Correct 73 ms 16196 KB Output is correct
37 Correct 986 ms 16408 KB Output is correct
38 Correct 3179 ms 16212 KB Output is correct
39 Correct 2070 ms 16404 KB Output is correct
40 Correct 1493 ms 16180 KB Output is correct
41 Correct 1478 ms 16216 KB Output is correct
42 Execution timed out 7037 ms 16216 KB Time limit exceeded
43 Halted 0 ms 0 KB -

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 15964 KB Output is correct
2 Correct 7 ms 15964 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 6 ms 16056 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 15964 KB Output is correct
7 Correct 7 ms 15964 KB Output is correct
8 Correct 6 ms 15964 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 6 ms 15892 KB Output is correct
11 Correct 10 ms 15964 KB Output is correct
12 Correct 11 ms 15988 KB Output is correct
13 Correct 13 ms 15960 KB Output is correct
14 Correct 6 ms 15876 KB Output is correct
15 Correct 7 ms 15964 KB Output is correct
16 Correct 7 ms 15964 KB Output is correct
17 Correct 38 ms 15964 KB Output is correct
18 Correct 62 ms 16096 KB Output is correct
19 Correct 177 ms 16096 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 6 ms 15872 KB Output is correct
22 Correct 318 ms 15964 KB Output is correct
23 Correct 337 ms 16096 KB Output is correct
24 Correct 12 ms 15960 KB Output is correct
25 Correct 311 ms 15960 KB Output is correct
26 Correct 266 ms 15960 KB Output is correct
27 Correct 109 ms 15960 KB Output is correct
28 Correct 109 ms 16096 KB Output is correct
29 Correct 1712 ms 16368 KB Output is correct
30 Correct 5313 ms 16220 KB Output is correct
31 Correct 1452 ms 16412 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 21 ms 16172 KB Output is correct
34 Correct 3840 ms 16392 KB Output is correct
35 Correct 3819 ms 16212 KB Output is correct
36 Correct 73 ms 16196 KB Output is correct
37 Correct 986 ms 16408 KB Output is correct
38 Correct 3179 ms 16212 KB Output is correct
39 Correct 2070 ms 16404 KB Output is correct
40 Correct 1493 ms 16180 KB Output is correct
41 Correct 1478 ms 16216 KB Output is correct
42 Execution timed out 7037 ms 16216 KB Time limit exceeded
43 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 15964 KB Output is correct
2 Correct 7 ms 15964 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 6 ms 16056 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 15964 KB Output is correct
7 Correct 7 ms 15964 KB Output is correct
8 Correct 6 ms 15964 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 6 ms 15892 KB Output is correct
11 Correct 10 ms 15964 KB Output is correct
12 Correct 11 ms 15988 KB Output is correct
13 Correct 13 ms 15960 KB Output is correct
14 Correct 6 ms 15876 KB Output is correct
15 Correct 7 ms 15964 KB Output is correct
16 Correct 7 ms 15964 KB Output is correct
17 Correct 38 ms 15964 KB Output is correct
18 Correct 62 ms 16096 KB Output is correct
19 Correct 177 ms 16096 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 6 ms 15872 KB Output is correct
22 Correct 318 ms 15964 KB Output is correct
23 Correct 337 ms 16096 KB Output is correct
24 Correct 12 ms 15960 KB Output is correct
25 Correct 311 ms 15960 KB Output is correct
26 Correct 266 ms 15960 KB Output is correct
27 Correct 109 ms 15960 KB Output is correct
28 Correct 109 ms 16096 KB Output is correct
29 Correct 1712 ms 16368 KB Output is correct
30 Correct 5313 ms 16220 KB Output is correct
31 Correct 1452 ms 16412 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 21 ms 16172 KB Output is correct
34 Correct 3840 ms 16392 KB Output is correct
35 Correct 3819 ms 16212 KB Output is correct
36 Correct 73 ms 16196 KB Output is correct
37 Correct 986 ms 16408 KB Output is correct
38 Correct 3179 ms 16212 KB Output is correct
39 Correct 2070 ms 16404 KB Output is correct
40 Correct 1493 ms 16180 KB Output is correct
41 Correct 1478 ms 16216 KB Output is correct
42 Execution timed out 7037 ms 16216 KB Time limit exceeded
43 Halted 0 ms 0 KB -