oj.uz

Submission #977358

# Submission time Handle Problem Language Result Execution time Memory
977358 2024-05-07T19:21:25 Z duckindog Building Bridges (CEOI17_building) C++17
60 / 100
 60 ms 10832 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 100'000 + 10;
int n;
int h[N], w[N];
int d[N];

struct Line { 
  long long a, b;

  Line() : a(0), b(1'000'000'000'000) {}
  Line(long long a, long long b) : a(a), b(b) {}

  double x(const auto& rhs) { return 1.0 * (b - rhs.b) / (rhs.a - a); }
  long long cal(long long x) { return a * x + b; }
} f[N << 2];
vector<int> rrh;

void insert(int s, int l, int r, Line line) { 
  if (l == r) { 
    if (f[s].cal(l - 1) > line.cal(l - 1)) f[s] = line;
    return;
  }
  int mid = l + r >> 1;
  if (f[s].a > line.a) swap(f[s], line);
  if (f[s].cal(rrh[mid - 1]) <= line.cal(rrh[mid - 1])) insert(s << 1, l, mid, line);
  else { 
    swap(f[s], line);
    insert(s << 1 | 1, mid + 1, r, line);
  }
}

long long query(int s, int l, int r, int i) { 
  if (i < l || i > r) return 1'000'000'000'000'000;
  if (l == r) return f[s].cal(rrh[i - 1]);
  int mid = l + r >> 1;
  if (i <= mid) return min(f[s].cal(rrh[i - 1]), query(s << 1, l, mid, i));
  return min(f[s].cal(rrh[i - 1]), query(s << 1 | 1, mid + 1, r, i));
}

long long dp[N];

int32_t main() { 
  cin.tie(0)->sync_with_stdio(0);

  cin >> n;
  for (int i = 1; i <= n; ++i) cin >> h[i];
  for (int i = 1; i <= n; ++i) cin >> w[i];

  for (int i = 1; i <= n; ++i) d[i] = d[i - 1] + w[i];

  rrh = vector<int>(h + 1, h + n + 1);
  sort(rrh.begin(), rrh.end());
  rrh.resize(unique(rrh.begin(), rrh.end()) - rrh.begin());

  insert(1, 1, rrh.size(), {-2 * h[1], 1ll * h[1] * h[1] - d[1]});
  
  for (int i = 2; i <= n; ++i) { 
    int it = lower_bound(rrh.begin(), rrh.end(), h[i]) - rrh.begin() + 1;
    dp[i] = query(1, 1, rrh.size(), it) + 1ll * h[i] * h[i] + d[i - 1];
    insert(1, 1, rrh.size(), {-2 * h[i], 1ll * h[i] * h[i] - d[i] + dp[i]});
  }

  cout << dp[n] << "\n";
}

Compilation message

building.cpp:16:18: warning: use of 'auto' in parameter declaration only available with '-fconcepts-ts'
   16 |   double x(const auto& rhs) { return 1.0 * (b - rhs.b) / (rhs.a - a); }
      |                  ^~~~
building.cpp: In function 'void insert(int, int, int, Line)':
building.cpp:26:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   26 |   int mid = l + r >> 1;
      |             ~~^~~
building.cpp: In function 'long long int query(int, int, int, int)':
building.cpp:38:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   38 |   int mid = l + r >> 1;
      |             ~~^~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7260 KB Output is correct
2 Correct 2 ms 7260 KB Output is correct
3 Correct 2 ms 7332 KB Output is correct
4 Correct 2 ms 7260 KB Output is correct
5 Correct 2 ms 7260 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 10068 KB Output is correct
2 Correct 47 ms 10068 KB Output is correct
3 Correct 48 ms 10012 KB Output is correct
4 Correct 40 ms 9820 KB Output is correct
5 Correct 31 ms 9976 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7260 KB Output is correct
2 Correct 2 ms 7260 KB Output is correct
3 Correct 2 ms 7332 KB Output is correct
4 Correct 2 ms 7260 KB Output is correct
5 Correct 2 ms 7260 KB Output is correct
6 Correct 47 ms 10068 KB Output is correct
7 Correct 47 ms 10068 KB Output is correct
8 Correct 48 ms 10012 KB Output is correct
9 Correct 40 ms 9820 KB Output is correct
10 Correct 31 ms 9976 KB Output is correct
11 Correct 55 ms 10076 KB Output is correct
12 Correct 57 ms 9896 KB Output is correct
13 Correct 38 ms 10152 KB Output is correct
14 Correct 60 ms 10832 KB Output is correct
15 Correct 42 ms 9812 KB Output is correct
16 Correct 32 ms 9820 KB Output is correct
17 Incorrect 17 ms 10100 KB Output isn't correct
18 Halted 0 ms 0 KB -