Submission #1090696

# Submission time Handle Problem Language Result Execution time Memory
1090696 2024-09-18T15:33:01 Z vjudge1 Safety (NOI18_safety) C++17
18 / 100
163 ms 20420 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] += m[0] * h;
    c[1] -= 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;
}

# 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 Incorrect 0 ms 348 KB Output isn't correct
5 Halted 0 ms 0 KB -
# 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
# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 102 ms 13788 KB Output is correct
2 Correct 163 ms 19804 KB Output is correct
3 Correct 157 ms 20420 KB Output is correct
# 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 Incorrect 0 ms 348 KB Output isn't correct
5 Halted 0 ms 0 KB -
# 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 Incorrect 0 ms 348 KB Output isn't correct
5 Halted 0 ms 0 KB -
# 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 Incorrect 0 ms 348 KB Output isn't correct
5 Halted 0 ms 0 KB -
# 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 Incorrect 0 ms 348 KB Output isn't correct
5 Halted 0 ms 0 KB -
# 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 Incorrect 0 ms 348 KB Output isn't correct
5 Halted 0 ms 0 KB -