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Submission #1017157

# Submission time Handle Problem Language Result Execution time Memory
1017157 2024-07-09T03:18:38 Z rxlfd314 Feast (NOI19_feast) C++17
100 / 100
 604 ms 23380 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using ari2 = array<int, 2>;
using ari3 = array<int, 3>;
using ari4 = array<int, 4>;
using arl2 = array<ll, 2>;
using arl3 = array<ll, 3>;
using arl4 = array<ll, 4>;
 
#define vt vector
#define all(x) begin(x), end(x)
#define size(x) (int((x).size()))
 
#define REP(a, b, c, d) for (int a = (b); (d) > 0 ? a <= (c) : a >= (c); a += (d))
#define FOR(a, b, c) REP(a, b, c, 1)
#define ROF(a, b, c) REP(a, b, c, -1)
 
void solve();

signed main() {
#ifndef DEBUG
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
#endif
  int T = 1;
  //cin >> T;
  FOR(t, 1, T) {
    solve();
  }
}

void solve() {
  int N, K;
  cin >> N >> K;
  vt<int> A(N+1);
  FOR(i, 1, N)
    cin >> A[i];
  
  vt<array<pair<ld, int>, 2>> dp(N+1);
  auto calc = [&](ld pen) {
    dp[0][1] = {-3e14, 0};
    dp[0][0] = {0, 0};
    FOR(i, 1, N) {
      dp[i][1] = make_pair(dp[i-1][1].first + A[i], dp[i-1][1].second);
      dp[i][1] = max(dp[i][1], make_pair(dp[i-1][0].first + A[i] - pen, dp[i-1][0].second - 1));
      dp[i][0] = max(dp[i-1][0], dp[i-1][1]);
    }
  };
  
  ld lo = 0, hi = 3e14;
  FOR(_, 1, 100) {
    ld mid = (lo + hi) / 2.0;
    calc(mid);
    if (-max({dp[N][0], dp[N][1]}).second <= K)
      hi = mid;
    else
      lo = mid;
  }
  
  calc(lo);  
  cout << (ll)round(max(dp[N][0], dp[N][1]).first + lo * K) << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 300 ms 22352 KB Output is correct
2 Correct 300 ms 23112 KB Output is correct
3 Correct 320 ms 23380 KB Output is correct
4 Correct 317 ms 22876 KB Output is correct
5 Correct 312 ms 22988 KB Output is correct
6 Correct 323 ms 22612 KB Output is correct
7 Correct 312 ms 22596 KB Output is correct
8 Correct 299 ms 22868 KB Output is correct
9 Correct 303 ms 22608 KB Output is correct
10 Correct 300 ms 22876 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 303 ms 21060 KB Output is correct
2 Correct 308 ms 21504 KB Output is correct
3 Correct 304 ms 21008 KB Output is correct
4 Correct 282 ms 21072 KB Output is correct
5 Correct 291 ms 22452 KB Output is correct
6 Correct 303 ms 20820 KB Output is correct
7 Correct 303 ms 21544 KB Output is correct
8 Correct 287 ms 23124 KB Output is correct
9 Correct 298 ms 22360 KB Output is correct
10 Correct 292 ms 21396 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 399 ms 23124 KB Output is correct
2 Correct 379 ms 22876 KB Output is correct
3 Correct 365 ms 23140 KB Output is correct
4 Correct 372 ms 22864 KB Output is correct
5 Correct 379 ms 23120 KB Output is correct
6 Correct 366 ms 23120 KB Output is correct
7 Correct 394 ms 23124 KB Output is correct
8 Correct 369 ms 23120 KB Output is correct
9 Correct 402 ms 23376 KB Output is correct
10 Correct 382 ms 23364 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 452 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 452 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 452 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 452 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 452 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 3 ms 604 KB Output is correct
22 Correct 3 ms 608 KB Output is correct
23 Correct 2 ms 604 KB Output is correct
24 Correct 2 ms 604 KB Output is correct
25 Correct 4 ms 604 KB Output is correct
26 Correct 2 ms 488 KB Output is correct
27 Correct 2 ms 600 KB Output is correct
28 Correct 3 ms 604 KB Output is correct
29 Correct 2 ms 608 KB Output is correct
30 Correct 3 ms 348 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 300 ms 22352 KB Output is correct
2 Correct 300 ms 23112 KB Output is correct
3 Correct 320 ms 23380 KB Output is correct
4 Correct 317 ms 22876 KB Output is correct
5 Correct 312 ms 22988 KB Output is correct
6 Correct 323 ms 22612 KB Output is correct
7 Correct 312 ms 22596 KB Output is correct
8 Correct 299 ms 22868 KB Output is correct
9 Correct 303 ms 22608 KB Output is correct
10 Correct 300 ms 22876 KB Output is correct
11 Correct 303 ms 21060 KB Output is correct
12 Correct 308 ms 21504 KB Output is correct
13 Correct 304 ms 21008 KB Output is correct
14 Correct 282 ms 21072 KB Output is correct
15 Correct 291 ms 22452 KB Output is correct
16 Correct 303 ms 20820 KB Output is correct
17 Correct 303 ms 21544 KB Output is correct
18 Correct 287 ms 23124 KB Output is correct
19 Correct 298 ms 22360 KB Output is correct
20 Correct 292 ms 21396 KB Output is correct
21 Correct 399 ms 23124 KB Output is correct
22 Correct 379 ms 22876 KB Output is correct
23 Correct 365 ms 23140 KB Output is correct
24 Correct 372 ms 22864 KB Output is correct
25 Correct 379 ms 23120 KB Output is correct
26 Correct 366 ms 23120 KB Output is correct
27 Correct 394 ms 23124 KB Output is correct
28 Correct 369 ms 23120 KB Output is correct
29 Correct 402 ms 23376 KB Output is correct
30 Correct 382 ms 23364 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 452 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 452 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 1 ms 460 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 3 ms 604 KB Output is correct
52 Correct 3 ms 608 KB Output is correct
53 Correct 2 ms 604 KB Output is correct
54 Correct 2 ms 604 KB Output is correct
55 Correct 4 ms 604 KB Output is correct
56 Correct 2 ms 488 KB Output is correct
57 Correct 2 ms 600 KB Output is correct
58 Correct 3 ms 604 KB Output is correct
59 Correct 2 ms 608 KB Output is correct
60 Correct 3 ms 348 KB Output is correct
61 Correct 581 ms 22716 KB Output is correct
62 Correct 540 ms 23256 KB Output is correct
63 Correct 463 ms 22864 KB Output is correct
64 Correct 604 ms 23124 KB Output is correct
65 Correct 572 ms 23248 KB Output is correct
66 Correct 587 ms 23124 KB Output is correct
67 Correct 585 ms 22864 KB Output is correct
68 Correct 402 ms 23128 KB Output is correct
69 Correct 400 ms 22848 KB Output is correct
70 Correct 384 ms 22704 KB Output is correct