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Submission #1090869

# Submission time Handle Problem Language Result Execution time Memory
1090869 2024-09-19T01:09:19 Z vjudge1 Safety (NOI18_safety) C++17
100 / 100
 156 ms 21064 KB 
#include <cassert>
#include <iostream>
#include <set>
#include <vector>

int main() {
  std::cin.tie(NULL)->sync_with_stdio(false);
  
  int n, h;
  std::cin >> n >> h;

  std::vector<int> m(2, 0);
  std::vector<long long> x_shift(2, 0);
  std::vector<long long> c(2, 0);
  x_shift[0] = h, x_shift[1] = -h;
  std::multiset<long long> m_changes[2]; // xpos for each m changes +1
  for (int i = 0; i < n; i++) {
    long long x;
    std::cin >> x;

    // shift by h
    x_shift[0] -= h;
    x_shift[1] += h;
    c[0] += 1LL * m[0] * h;
    c[1] -= 1LL * m[1] * h;

    // append to line
    m[0]--;
    m[1]++;
    m_changes[0].insert(x - x_shift[0]);
    m_changes[1].insert(x - x_shift[1]);
    
    // normalize
    while (true) {
      long long x_l = *m_changes[0].rbegin();
      long long x_r = *m_changes[1].begin();
      if (x_l + x_shift[0] <= x_r + x_shift[1]) {
        break;
      }

      m_changes[0].erase(m_changes[0].find(x_l));
      m_changes[1].erase(m_changes[1].find(x_r));
      x_l += x_shift[0];
      x_r += x_shift[1];
      m_changes[0].insert(x_r - x_shift[0]);
      m_changes[1].insert(x_l - x_shift[1]);
    }

    c[0] += x;
    c[1] -= x;
  }

  while (!m_changes[1].empty()) {
    // pop largest
    long long x = *m_changes[1].rbegin();
    m_changes[1].erase(m_changes[1].find(x));

    // apply shift
    x += x_shift[1];

    // m*x + c = (m-1)*x + (x + c)
    m[1]--;
    c[1] += x;
  }

  assert(m[1] == 0);
  std::cout << c[1] << std::endl;

  return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 344 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 13888 KB Output is correct
2 Correct 144 ms 19632 KB Output is correct
3 Correct 155 ms 20564 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 344 KB Output is correct
11 Correct 0 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 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 344 KB Output is correct
11 Correct 0 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 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 352 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 356 KB Output is correct
25 Correct 0 ms 352 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 352 KB Output is correct

Subtask #7
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 344 KB Output is correct
11 Correct 0 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 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 352 KB Output is correct
22 Correct 1 ms 460 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 356 KB Output is correct
25 Correct 0 ms 352 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 352 KB Output is correct
28 Correct 3 ms 864 KB Output is correct
29 Correct 2 ms 860 KB Output is correct
30 Correct 2 ms 728 KB Output is correct
31 Correct 2 ms 604 KB Output is correct
32 Correct 1 ms 864 KB Output is correct
33 Correct 2 ms 864 KB Output is correct
34 Correct 2 ms 864 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 352 KB Output is correct
28 Correct 1 ms 460 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 356 KB Output is correct
31 Correct 0 ms 352 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 352 KB Output is correct
34 Correct 3 ms 864 KB Output is correct
35 Correct 2 ms 860 KB Output is correct
36 Correct 2 ms 728 KB Output is correct
37 Correct 2 ms 604 KB Output is correct
38 Correct 1 ms 864 KB Output is correct
39 Correct 2 ms 864 KB Output is correct
40 Correct 2 ms 864 KB Output is correct
41 Correct 3 ms 868 KB Output is correct
42 Correct 2 ms 612 KB Output is correct
43 Correct 2 ms 724 KB Output is correct
44 Correct 2 ms 872 KB Output is correct
45 Correct 2 ms 872 KB Output is correct
46 Correct 1 ms 860 KB Output is correct

Subtask #9
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 89 ms 13888 KB Output is correct
20 Correct 144 ms 19632 KB Output is correct
21 Correct 155 ms 20564 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 352 KB Output is correct
31 Correct 1 ms 460 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 356 KB Output is correct
34 Correct 0 ms 352 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 1 ms 352 KB Output is correct
37 Correct 3 ms 864 KB Output is correct
38 Correct 2 ms 860 KB Output is correct
39 Correct 2 ms 728 KB Output is correct
40 Correct 2 ms 604 KB Output is correct
41 Correct 1 ms 864 KB Output is correct
42 Correct 2 ms 864 KB Output is correct
43 Correct 2 ms 864 KB Output is correct
44 Correct 3 ms 868 KB Output is correct
45 Correct 2 ms 612 KB Output is correct
46 Correct 2 ms 724 KB Output is correct
47 Correct 2 ms 872 KB Output is correct
48 Correct 2 ms 872 KB Output is correct
49 Correct 1 ms 860 KB Output is correct
50 Correct 156 ms 21064 KB Output is correct
51 Correct 126 ms 17488 KB Output is correct
52 Correct 75 ms 16720 KB Output is correct
53 Correct 86 ms 19540 KB Output is correct
54 Correct 97 ms 20052 KB Output is correct
55 Correct 91 ms 16976 KB Output is correct
56 Correct 82 ms 18768 KB Output is correct
57 Correct 83 ms 17496 KB Output is correct
58 Correct 93 ms 14416 KB Output is correct
59 Correct 93 ms 19028 KB Output is correct