oj.uz

Submission #272948

# Submission time Handle Problem Language Result Execution time Memory
272948 2020-08-18T22:09:45 Z Haunted_Cpp Discharging (NOI20_discharging) C++17
100 / 100
 377 ms 21880 KB 
/**
 *  author: Haunted_Cpp
**/
 
#include <bits/stdc++.h>
using namespace std;
 
#pragma GCC optimize("Ofast")
#pragma GCC target("fma,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("unroll-loops")
 
template<typename T> ostream &operator << (ostream &os, const vector<T> &v) { os << '{'; string sep; for (const auto &x : v) os << sep << x, sep = ", "; return os << '}'; }
template<typename T, size_t size> ostream &operator << (ostream &os, const array<T, size> &arr) { os << '{'; string sep; for (const auto &x : arr) os << sep << x, sep = ", "; return os << '}'; }
template<typename A, typename B> ostream &operator << (ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
 
void debug_out() { cerr << endl; }
template<typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << ' ' << H; debug_out(T...); }
 
#ifdef LOCAL
#define debug(...) cerr << "(" << #__VA_ARGS__ << "):", debug_out(__VA_ARGS__)
#else
#define debug(...) 47
#endif
 
class CHT {
private:
  typedef long long i64;
  struct Node {
    Node *l, *r;
    pair<i64, i64> line;
    Node() {
      l = r = nullptr;
      line = {1e9, 1e9};
    }
  };
  Node *root;
  const int LO, HI;
  long long f(const pair<i64, i64> line, int x) {
    return 1LL * x * line.first + line.second;
  }
  void add_line(pair<i64, i64> line, int l, int r, Node *seg) {
    const int mid = l + (r - l) / 2;
    bool esq = f(seg -> line, l) > f(line, l);
    bool middle = f(seg -> line, mid) > f(line, mid);
    if (middle) {
      swap(line, seg -> line);
    }
    if (l == r) return;
    if (esq == middle) {
      if (!seg -> r) seg -> r = new Node;
      add_line(line, mid + 1, r, seg -> r);
    } else {
      if (!seg -> l) seg -> l = new Node;
      add_line(line, l, mid, seg -> l);
    }
  }
  long long query(int l, int r, int where, Node *seg) {
    if (!seg) return 1e18;
    if (l == r) return f(seg -> line, where);
    const int mid = l + (r - l) / 2;
    if (where > mid) {
      return min(query(mid + 1, r, where, seg -> r), f(seg -> line, where));
    }
    return min(query(l, mid, where, seg -> l), f(seg -> line, where));
  }
public:
  CHT() : LO(0), HI(1e9 + 7) {
    root = new Node;
  }
  void add_line(pair<i64, i64> line) {
    add_line(line, LO, HI, root);
  }
  long long get_best(int where) {
    return query(LO, HI, where, root);
  }
};
 
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0); 
  int n;
  cin >> n;
  vector<int> arr(n + 1);
  for (int i = 1; i <= n; i++) cin >> arr[i];
  CHT seg;
  vector<long long> dp(n + 1);
  seg.add_line({0, 0});
  int mx = 0;
  for (int i = 1; i <= n; i++) {
    mx = max(mx, arr[i]);
    dp[i] = 1LL * mx * n + seg.get_best(mx);
    seg.add_line({1LL * -i, dp[i]});
  }
  cout << dp[n] << '\n';
  return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 360 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 276 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 1 ms 512 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 512 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 640 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 1 ms 512 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 512 KB Output is correct
16 Correct 331 ms 13688 KB Output is correct
17 Correct 337 ms 13944 KB Output is correct
18 Correct 340 ms 13688 KB Output is correct
19 Correct 346 ms 13568 KB Output is correct
20 Correct 377 ms 13688 KB Output is correct
21 Correct 335 ms 13816 KB Output is correct
22 Correct 347 ms 13688 KB Output is correct
23 Correct 358 ms 14072 KB Output is correct
24 Correct 333 ms 13816 KB Output is correct
25 Correct 330 ms 13944 KB Output is correct
26 Correct 328 ms 13820 KB Output is correct
27 Correct 334 ms 13688 KB Output is correct
28 Correct 331 ms 13832 KB Output is correct
29 Correct 331 ms 13816 KB Output is correct
30 Correct 334 ms 13900 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 347 ms 12424 KB Output is correct
2 Correct 357 ms 21840 KB Output is correct
3 Correct 340 ms 21752 KB Output is correct
4 Correct 366 ms 21752 KB Output is correct
5 Correct 336 ms 21752 KB Output is correct
6 Correct 358 ms 21880 KB Output is correct
7 Correct 348 ms 21752 KB Output is correct
8 Correct 343 ms 21752 KB Output is correct
9 Correct 350 ms 21752 KB Output is correct
10 Correct 360 ms 21880 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 360 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 276 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 640 KB Output is correct
19 Correct 1 ms 512 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 1 ms 512 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 1 ms 512 KB Output is correct
28 Correct 1 ms 512 KB Output is correct
29 Correct 1 ms 512 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 416 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 384 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 1 ms 512 KB Output is correct
44 Correct 1 ms 384 KB Output is correct
45 Correct 1 ms 384 KB Output is correct
46 Correct 1 ms 384 KB Output is correct
47 Correct 1 ms 384 KB Output is correct
48 Correct 1 ms 384 KB Output is correct
49 Correct 1 ms 384 KB Output is correct
50 Correct 1 ms 384 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 360 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 276 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 640 KB Output is correct
19 Correct 1 ms 512 KB Output is correct
20 Correct 1 ms 512 KB Output is correct
21 Correct 1 ms 512 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 1 ms 512 KB Output is correct
28 Correct 1 ms 512 KB Output is correct
29 Correct 1 ms 512 KB Output is correct
30 Correct 331 ms 13688 KB Output is correct
31 Correct 337 ms 13944 KB Output is correct
32 Correct 340 ms 13688 KB Output is correct
33 Correct 346 ms 13568 KB Output is correct
34 Correct 377 ms 13688 KB Output is correct
35 Correct 335 ms 13816 KB Output is correct
36 Correct 347 ms 13688 KB Output is correct
37 Correct 358 ms 14072 KB Output is correct
38 Correct 333 ms 13816 KB Output is correct
39 Correct 330 ms 13944 KB Output is correct
40 Correct 328 ms 13820 KB Output is correct
41 Correct 334 ms 13688 KB Output is correct
42 Correct 331 ms 13832 KB Output is correct
43 Correct 331 ms 13816 KB Output is correct
44 Correct 334 ms 13900 KB Output is correct
45 Correct 347 ms 12424 KB Output is correct
46 Correct 357 ms 21840 KB Output is correct
47 Correct 340 ms 21752 KB Output is correct
48 Correct 366 ms 21752 KB Output is correct
49 Correct 336 ms 21752 KB Output is correct
50 Correct 358 ms 21880 KB Output is correct
51 Correct 348 ms 21752 KB Output is correct
52 Correct 343 ms 21752 KB Output is correct
53 Correct 350 ms 21752 KB Output is correct
54 Correct 360 ms 21880 KB Output is correct
55 Correct 1 ms 384 KB Output is correct
56 Correct 1 ms 384 KB Output is correct
57 Correct 1 ms 384 KB Output is correct
58 Correct 1 ms 384 KB Output is correct
59 Correct 1 ms 384 KB Output is correct
60 Correct 1 ms 384 KB Output is correct
61 Correct 1 ms 384 KB Output is correct
62 Correct 1 ms 416 KB Output is correct
63 Correct 1 ms 384 KB Output is correct
64 Correct 1 ms 384 KB Output is correct
65 Correct 1 ms 384 KB Output is correct
66 Correct 1 ms 384 KB Output is correct
67 Correct 1 ms 384 KB Output is correct
68 Correct 1 ms 512 KB Output is correct
69 Correct 1 ms 384 KB Output is correct
70 Correct 1 ms 384 KB Output is correct
71 Correct 1 ms 384 KB Output is correct
72 Correct 1 ms 384 KB Output is correct
73 Correct 1 ms 384 KB Output is correct
74 Correct 1 ms 384 KB Output is correct
75 Correct 1 ms 384 KB Output is correct
76 Correct 318 ms 18168 KB Output is correct
77 Correct 314 ms 18264 KB Output is correct
78 Correct 319 ms 17660 KB Output is correct
79 Correct 311 ms 17876 KB Output is correct
80 Correct 314 ms 18552 KB Output is correct
81 Correct 310 ms 17784 KB Output is correct
82 Correct 308 ms 17656 KB Output is correct
83 Correct 331 ms 18424 KB Output is correct
84 Correct 306 ms 18040 KB Output is correct
85 Correct 325 ms 18312 KB Output is correct
86 Correct 310 ms 17732 KB Output is correct
87 Correct 325 ms 17664 KB Output is correct
88 Correct 318 ms 17928 KB Output is correct
89 Correct 310 ms 17784 KB Output is correct
90 Correct 314 ms 17680 KB Output is correct
91 Correct 331 ms 17528 KB Output is correct
92 Correct 330 ms 19804 KB Output is correct
93 Correct 339 ms 19192 KB Output is correct
94 Correct 310 ms 17108 KB Output is correct
95 Correct 306 ms 18552 KB Output is correct
96 Correct 317 ms 17400 KB Output is correct
97 Correct 310 ms 17788 KB Output is correct
98 Correct 305 ms 18040 KB Output is correct
99 Correct 316 ms 17664 KB Output is correct
100 Correct 311 ms 17784 KB Output is correct