Submission details
Task:Aquarium
Sender:aalto25a_001
Submission time:2025-09-03 17:40:25 +0300
Language:C++ (C++17)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#2ACCEPTED0.00 sdetails
#3ACCEPTED0.00 sdetails
#4ACCEPTED0.00 sdetails
#5ACCEPTED0.00 sdetails
#60.00 sdetails
#7ACCEPTED0.00 sdetails
#8ACCEPTED0.00 sdetails
#9ACCEPTED0.00 sdetails
#100.00 sdetails
#11ACCEPTED0.00 sdetails
#12ACCEPTED0.00 sdetails
#130.00 sdetails
#140.00 sdetails
#150.00 sdetails
#16ACCEPTED0.00 sdetails
#170.00 sdetails
#18ACCEPTED0.00 sdetails
#19ACCEPTED0.00 sdetails
#20ACCEPTED0.00 sdetails
#21ACCEPTED0.00 sdetails
#22ACCEPTED0.00 sdetails
#23ACCEPTED0.00 sdetails
#24ACCEPTED0.00 sdetails
#25ACCEPTED0.00 sdetails
#26ACCEPTED0.00 sdetails
#27ACCEPTED0.00 sdetails
#28ACCEPTED0.00 sdetails
#29ACCEPTED0.00 sdetails
#30ACCEPTED0.00 sdetails
#31ACCEPTED0.00 sdetails
#32ACCEPTED0.00 sdetails
#33ACCEPTED0.00 sdetails
#34ACCEPTED0.00 sdetails
#35ACCEPTED0.00 sdetails
#36ACCEPTED0.00 sdetails
#37ACCEPTED0.00 sdetails
#38ACCEPTED0.00 sdetails
#39ACCEPTED0.00 sdetails
#40ACCEPTED0.00 sdetails
#41ACCEPTED0.00 sdetails
#42ACCEPTED0.00 sdetails
#43ACCEPTED0.00 sdetails
#44ACCEPTED0.00 sdetails

Code

#include <iostream>
#include <stack>
#include <iomanip>

using namespace std;

const int N = 1e4 + 5;

int n;
int h[N], l[N], r[N];
int q;
long long V;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n;
  for (int i = 1; i <= n; i++) {
    cin >> h[i];
  }
  cin >> q >> V;
  stack<int> st;
  for (int i = 1; i <= n; i++) {
    while (!st.empty() && h[i] >= h[st.top()]) {
      st.pop();
    }
    l[i] = (st.empty() ? 0 : st.top());
    st.push(i);
  }
  while (!st.empty()) {
    st.pop();
  }
  for (int i = n; i >= 1; i--) {
    while (!st.empty() && h[i] >= h[st.top()]) {
      st.pop();
    }
    r[i] = (st.empty() ? n + 1 : st.top());
    st.push(i);
  }
  if (V <= h[q]) {
    cout << V << '\n';
    return 0;
  }
  V -= h[q];
  int cur = h[q];
  int lf = q, rt = q;
  long double ans = cur;
  while (true) {
    int old_l = lf, old_r = rt;
    lf = l[lf];
    rt = r[rt];
    if (lf == 0 || rt == n + 1) {
      break;
    }
    long long nd = (rt - 1 - (lf + 1) + 1) - (old_r - old_l + 1);
    nd *= cur;
    if (V <= nd) {
      break;
    } else {
      V -= nd;
    }
    int new_height = min(h[lf], h[rt]);
    if (1LL * (new_height - cur) * ((rt - 1) - (lf + 1) + 1) > V) {
      ans += (long double)(V) / ((rt - 1) - (lf + 1) + 1);
      cout << fixed << setprecision(6) << ans << '\n';
      return 0;
    } else {
      V -= 1LL * (new_height - cur) * ((rt - 1) - (lf + 1) + 1);
      if (h[lf] < h[rt]) {
        if (V < h[lf]) {
          break;
        } else {
          V -= h[lf];
          rt--;
          cur = h[lf];
        }
      } else if (h[rt] < h[lf]) {
        if (V < h[rt]) {
          break;
        } else {
          V -= h[rt];
          lf++;
          cur = h[rt];
        }
      } else {
        if (V < h[lf] + h[rt]) {
          break;
        } else {
          V -= (h[lf] + h[rt]);
          cur = h[lf];
        }
      }
    }
    ans = cur;
  }
  cout << fixed << setprecision(6) << ans << '\n';
  return 0;
}

Test details

Test 1

Verdict: ACCEPTED

input
1

1 1

correct output
1

user output
1

Test 2

Verdict: ACCEPTED

input
2
1 2 
1 1

correct output
1

user output
1

Test 3

Verdict: ACCEPTED

input
3
1 1 3 
2 7

correct output
1

user output
1.000000

Test 4

Verdict: ACCEPTED

input
5
1 1 5 3 5 
3 6

correct output
5

user output
5.000000

Test 5

Verdict: ACCEPTED

input
6
5 3 1 2 4 6 
3 4

correct output
2

user output
2.000000

Test 6

Verdict:

input
8
7 5 3 1 2 4 6 8 
4 7

correct output
3

user output
2.000000

Test 7

Verdict: ACCEPTED

input
9
2 1 9 5 9 4 5 4 3 
4 5

correct output
5

user output
5

Test 8

Verdict: ACCEPTED

input
10
9 7 5 3 1 2 4 6 8 10 
5 11

correct output
3.66667

user output
3.666667

Test 9

Verdict: ACCEPTED

input
12
11 9 7 5 3 1 2 4 6 8 10 12 
6 16

correct output
4

user output
4.000000

Test 10

Verdict:

input
14
13 11 9 7 5 3 1 2 4 6 8 10 12 ...

correct output
5

user output
4.000000

Test 11

Verdict: ACCEPTED

input
16
15 13 11 9 7 5 3 1 2 4 6 8 10 ...

correct output
5.6

user output
5.600000

Test 12

Verdict: ACCEPTED

input
18
17 15 13 11 9 7 5 3 1 2 4 6 8 ...

correct output
6

user output
6.000000

Test 13

Verdict:

input
20
19 17 15 13 11 9 7 5 3 1 2 4 6...

correct output
7

user output
6.000000

Test 14

Verdict:

input
25
5 1 24 14 24 11 13 11 9 9 4 6 ...

correct output
6

user output
4.000000

Test 15

Verdict:

input
30
29 27 25 23 21 19 17 15 13 11 ...

correct output
10

user output
9.000000

Test 16

Verdict: ACCEPTED

input
40
39 37 35 33 31 29 27 25 23 21 ...

correct output
13.4615

user output
13.461538

Test 17

Verdict:

input
50
49 47 45 43 41 39 37 35 33 31 ...

correct output
17

user output
16.000000

Test 18

Verdict: ACCEPTED

input
70
69 67 65 63 61 59 57 55 53 51 ...

correct output
23.2609

user output
23.260870

Test 19

Verdict: ACCEPTED

input
1

1 1

correct output
1

user output
1

Test 20

Verdict: ACCEPTED

input
2
3 2 
1 16

correct output
3

user output
3.000000

Test 21

Verdict: ACCEPTED

input
3
6 4 3 
3 81

correct output
3

user output
3.000000

Test 22

Verdict: ACCEPTED

input
5
14 8 5 24 16 
5 625

correct output
16

user output
16.000000

Test 23

Verdict: ACCEPTED

input
6
19 11 6 34 23 35 
3 1296

correct output
19

user output
19.000000

Test 24

Verdict: ACCEPTED

input
8
32 18 9 61 39 62 32 35 
4 4096

correct output
61

user output
61.000000

Test 25

Verdict: ACCEPTED

input
9
40 22 10 77 49 78 40 44 39 
3 6561

correct output
40

user output
40.000000

Test 26

Verdict: ACCEPTED

input
10
49 26 12 94 60 96 49 54 48 39 
4 10000

correct output
94

user output
94.000000

Test 27

Verdict: ACCEPTED

input
12
69 36 15 135 85 138 69 76 67 5...

correct output
69

user output
69.000000

Test 28

Verdict: ACCEPTED

input
14
93 47 18 184 114 187 93 102 90...

correct output
141

user output
141.000000

Test 29

Verdict: ACCEPTED

input
16
121 60 22 240 148 244 120 132 ...

correct output
240

user output
240.000000

Test 30

Verdict: ACCEPTED

input
18
151 74 25 303 186 308 151 166 ...

correct output
303

user output
303.000000

Test 31

Verdict: ACCEPTED

input
20
186 90 29 374 229 381 185 204 ...

correct output
286

user output
286.000000

Test 32

Verdict: ACCEPTED

input
25
287 136 40 584 355 594 286 316...

correct output
516

user output
516.000000

Test 33

Verdict: ACCEPTED

input
30
409 191 52 841 508 855 409 452...

correct output
656

user output
656.000000

Test 34

Verdict: ACCEPTED

input
40
720 328 80 1494 898 1519 719 7...

correct output
1519

user output
1519.000000

Test 35

Verdict: ACCEPTED

input
50
1118 503 113 2333 1397 2372 11...

correct output
2372

user output
2372.000000

Test 36

Verdict: ACCEPTED

input
70
2176 964 195 4570 2725 4648 21...

correct output
4648

user output
4648.000000

Test 37

Verdict: ACCEPTED

input
100
4416 1932 356 9323 5542 9483 4...

correct output
9700

user output
9700.000000

Test 38

Verdict: ACCEPTED

input
500
104548 249301 180224 233177 52...

correct output
104548

user output
104548.000000

Test 39

Verdict: ACCEPTED

input
600
150482 358999 259492 335771 64...

correct output
353835

user output
353835.000000

Test 40

Verdict: ACCEPTED

input
900
446578 58127 573897 680544 236...

correct output
790626

user output
790626.000000

Test 41

Verdict: ACCEPTED

input
900
783372 729637 443692 140636 78...

correct output
805592

user output
805592.000000

Test 42

Verdict: ACCEPTED

input
100
4416 1932 356 9323 5542 9483 4...

correct output
9700

user output
9700.000000

Test 43

Verdict: ACCEPTED

input
500
104548 249301 180224 233177 52...

correct output
104548

user output
104548.000000

Test 44

Verdict: ACCEPTED

input
600
150482 358999 259492 335771 64...

correct output
353835

user output
353835.000000