oj.uz

Submission #1086382

# Submission time Handle Problem Language Result Execution time Memory
1086382 2024-09-10T11:38:49 Z juicy Building Bridges (CEOI17_building) C++17
100 / 100
 44 ms 7744 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const long long inf = 1e18;

struct line {
  mutable long long a, b, p;

  bool operator < (line o) const {
    return a < o.a;
  }

  bool operator < (long long x) const {
    return p < x;
  }
};

struct lc : multiset<line, less<>> {
  long long div(long long a, long long b) {
    return a / b - ((a ^ b) < 0 && a % b); 
  }

  bool isect(iterator x, iterator y) {
    if (y == end()) {
      return x -> p = inf, 0;
    }
    if (x -> a == y -> a) {
      x -> p = x -> b >= y -> b ? inf : -inf;
    } else {
      x -> p = div(y -> b - x -> b, x -> a - y -> a);
    }
    return x -> p >= y -> p;
  }

  void add(long long a, long long b) {
    auto z = insert({a, b, 0}), y = z++, x = y;
    while (isect(y, z)) {
      z = erase(z);
    }
    if (x != begin() && isect(--x, y)) {
      isect(x, erase(y));
    }
    while ((y = x) != begin() && (--x) -> p >= y -> p) {
      isect(x, erase(y));
    }
  }

  long long qry(long long x) {
    auto l = *lower_bound(x);
    return l.a * x + l.b;
  }
};

int main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  int n; cin >> n;
  vector<int> h(n);
  for (int &x : h) {
    cin >> x;
  }
  lc lc;
  long long sum = 0;
  for (int i = 0; i < n; ++i) {
    int w; cin >> w;
    long long x = lc.size() ? -lc.qry(h[i]) + (long long) h[i] * h[i] + sum : 0;
    sum += w;
    if (i == n - 1) {
      cout << x;
    } else {
      lc.add(2 * h[i], sum - (long long) h[i] * h[i] - x);
    }
  }
  return 0;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 348 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 1752 KB Output is correct
2 Correct 27 ms 1884 KB Output is correct
3 Correct 28 ms 1884 KB Output is correct
4 Correct 29 ms 1884 KB Output is correct
5 Correct 24 ms 2904 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 348 KB Output is correct
6 Correct 28 ms 1752 KB Output is correct
7 Correct 27 ms 1884 KB Output is correct
8 Correct 28 ms 1884 KB Output is correct
9 Correct 29 ms 1884 KB Output is correct
10 Correct 24 ms 2904 KB Output is correct
11 Correct 33 ms 2160 KB Output is correct
12 Correct 27 ms 1880 KB Output is correct
13 Correct 21 ms 1880 KB Output is correct
14 Correct 27 ms 1884 KB Output is correct
15 Correct 44 ms 7744 KB Output is correct
16 Correct 24 ms 2788 KB Output is correct
17 Correct 13 ms 1884 KB Output is correct
18 Correct 13 ms 1884 KB Output is correct