oj.uz

Submission #709295

# Submission time Handle Problem Language Result Execution time Memory
709295 2023-03-13T10:35:58 Z awu Discharging (NOI20_discharging) C++14
58 / 100
 704 ms 176680 KB 
#include <bits/extc++.h>
using namespace std;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")

#define int long long
#define f first
#define s second
#define all(x) x.begin(), x.end()
#define debug(x) do{auto y = x; cout << #x << " = " << y << endl;}while(0)
// #define endl "\n"
#define unordered_map __gnu_pbds::gp_hash_table
using pii = pair<int, int>;

const int inf = 1ll << 60;
const int MOD = 1e9 + 7;

int fastlog2(int x) {
  return 63 - __builtin_clzll(x);
}

struct sparsetable {
  vector<vector<int>> t;
  sparsetable() {}
  sparsetable(vector<int>& a) {
    int n = a.size();
    t.resize(fastlog2(n) + 1, vector<int>(n));
    t[0] = a;
    for(int i = 1; i <= fastlog2(n); i++) {
      for(int j = 0; j + (1 << i) <= n; j++) {
        t[i][j] = max(t[i - 1][j], t[i - 1][j + (1 << (i - 1))]);
      }
    }
  }
  int query(int ql, int qr) {
    int lg = fastlog2(qr - ql);
    return max(t[lg][ql], t[lg][qr - (1 << lg)]);
  }
};
int n;
sparsetable st;

int eval(pii f, int x) {
  if(x >= f.f) return inf;
  return (n - x) * st.query(x, f.f) + f.s;
}

struct lichao {
  int tl, tr;
  pii f;
  lichao *lc, *rc;
  void insert(pii f2) {
    int tm = (tl + tr) / 2;
    if(eval(f2, tm) < eval(f, tm)) swap(f, f2);
    if(tl + 1 == tr) return;
    if(eval(f2, tl) <= eval(f, tl)) {
      if(!lc) {
        lc = new lichao{tl, tm, f2};
      } else {
        lc->insert(f2);
      }
    }
    if(eval(f2, tr - 1) <= eval(f, tr - 1)) {
      if(!rc) {
        rc = new lichao{tm, tr, f2};
      } else {
        rc->insert(f2);
      }
    }
  }
  int query(int x) {
    int tm = (tl + tr) / 2;
    int res = eval(f, x);
    if(x < tm && lc) return min(res, lc->query(x));
    if(x >= tm && rc) return min(res, rc->query(x));
    return res;
  }
};

signed main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cin >> n;
  vector<int> t(n);
  for(int i = 0; i < n; i++) {
    cin >> t[i];
  }
  st = sparsetable(t);
  vector<int> dp(n);
  lichao lct{0, n, {n, 0}};
  for(int i = n - 1; i >= 0; i--) {
    dp[i] = lct.query(i);
    lct.insert({i, dp[i]});
  }
  cout << dp[0] << endl;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 468 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 351 ms 172668 KB Output is correct
17 Correct 704 ms 173300 KB Output is correct
18 Correct 435 ms 172600 KB Output is correct
19 Correct 573 ms 176084 KB Output is correct
20 Correct 435 ms 172696 KB Output is correct
21 Correct 534 ms 174152 KB Output is correct
22 Correct 447 ms 172940 KB Output is correct
23 Correct 382 ms 172560 KB Output is correct
24 Correct 703 ms 176680 KB Output is correct
25 Correct 392 ms 173004 KB Output is correct
26 Correct 486 ms 175420 KB Output is correct
27 Correct 537 ms 173936 KB Output is correct
28 Correct 442 ms 174528 KB Output is correct
29 Correct 380 ms 172552 KB Output is correct
30 Correct 401 ms 172508 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 203 ms 172600 KB Output is correct
2 Correct 191 ms 172496 KB Output is correct
3 Correct 202 ms 172596 KB Output is correct
4 Correct 196 ms 172624 KB Output is correct
5 Correct 198 ms 172600 KB Output is correct
6 Correct 195 ms 172576 KB Output is correct
7 Correct 195 ms 172600 KB Output is correct
8 Correct 198 ms 172496 KB Output is correct
9 Correct 198 ms 172488 KB Output is correct
10 Correct 194 ms 172596 KB Output is correct

Subtask #5
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 460 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Incorrect 1 ms 468 KB Output isn't correct
31 Halted 0 ms 0 KB -

Subtask #6
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 460 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 351 ms 172668 KB Output is correct
31 Correct 704 ms 173300 KB Output is correct
32 Correct 435 ms 172600 KB Output is correct
33 Correct 573 ms 176084 KB Output is correct
34 Correct 435 ms 172696 KB Output is correct
35 Correct 534 ms 174152 KB Output is correct
36 Correct 447 ms 172940 KB Output is correct
37 Correct 382 ms 172560 KB Output is correct
38 Correct 703 ms 176680 KB Output is correct
39 Correct 392 ms 173004 KB Output is correct
40 Correct 486 ms 175420 KB Output is correct
41 Correct 537 ms 173936 KB Output is correct
42 Correct 442 ms 174528 KB Output is correct
43 Correct 380 ms 172552 KB Output is correct
44 Correct 401 ms 172508 KB Output is correct
45 Correct 203 ms 172600 KB Output is correct
46 Correct 191 ms 172496 KB Output is correct
47 Correct 202 ms 172596 KB Output is correct
48 Correct 196 ms 172624 KB Output is correct
49 Correct 198 ms 172600 KB Output is correct
50 Correct 195 ms 172576 KB Output is correct
51 Correct 195 ms 172600 KB Output is correct
52 Correct 198 ms 172496 KB Output is correct
53 Correct 198 ms 172488 KB Output is correct
54 Correct 194 ms 172596 KB Output is correct
55 Incorrect 1 ms 468 KB Output isn't correct
56 Halted 0 ms 0 KB -