oj.uz

Submission #709333

# Submission time Handle Problem Language Result Execution time Memory
709333 2023-03-13T11:46:45 Z awu Discharging (NOI20_discharging) C++14
100 / 100
 140 ms 22548 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 n;
vector<int> t;

int eval(pii f, int x) {
  if(x >= f.f) return inf;
  return (n - x) * t[f.f - 1] + 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);
      }
    } else 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;
  t.resize(n);
  for(int i = 0; i < n; i++) {
    cin >> t[i];
  }
  for(int i = 1; i < n; i++) {
    t[i] = max(t[i], t[i - 1]);
  }
  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 0 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 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 124 ms 16004 KB Output is correct
17 Correct 127 ms 15956 KB Output is correct
18 Correct 116 ms 15948 KB Output is correct
19 Correct 126 ms 16092 KB Output is correct
20 Correct 129 ms 15944 KB Output is correct
21 Correct 140 ms 16072 KB Output is correct
22 Correct 125 ms 15960 KB Output is correct
23 Correct 122 ms 16004 KB Output is correct
24 Correct 132 ms 16080 KB Output is correct
25 Correct 135 ms 15952 KB Output is correct
26 Correct 139 ms 16252 KB Output is correct
27 Correct 130 ms 15960 KB Output is correct
28 Correct 126 ms 15948 KB Output is correct
29 Correct 126 ms 16072 KB Output is correct
30 Correct 128 ms 15924 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 16100 KB Output is correct
2 Correct 104 ms 15948 KB Output is correct
3 Correct 99 ms 15972 KB Output is correct
4 Correct 102 ms 15948 KB Output is correct
5 Correct 104 ms 15964 KB Output is correct
6 Correct 102 ms 15948 KB Output is correct
7 Correct 110 ms 15952 KB Output is correct
8 Correct 97 ms 15948 KB Output is correct
9 Correct 99 ms 15956 KB Output is correct
10 Correct 95 ms 15964 KB Output is correct

Subtask #5
14.0 / 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 0 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 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 0 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct

Subtask #6
28.0 / 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 0 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 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 124 ms 16004 KB Output is correct
31 Correct 127 ms 15956 KB Output is correct
32 Correct 116 ms 15948 KB Output is correct
33 Correct 126 ms 16092 KB Output is correct
34 Correct 129 ms 15944 KB Output is correct
35 Correct 140 ms 16072 KB Output is correct
36 Correct 125 ms 15960 KB Output is correct
37 Correct 122 ms 16004 KB Output is correct
38 Correct 132 ms 16080 KB Output is correct
39 Correct 135 ms 15952 KB Output is correct
40 Correct 139 ms 16252 KB Output is correct
41 Correct 130 ms 15960 KB Output is correct
42 Correct 126 ms 15948 KB Output is correct
43 Correct 126 ms 16072 KB Output is correct
44 Correct 128 ms 15924 KB Output is correct
45 Correct 101 ms 16100 KB Output is correct
46 Correct 104 ms 15948 KB Output is correct
47 Correct 99 ms 15972 KB Output is correct
48 Correct 102 ms 15948 KB Output is correct
49 Correct 104 ms 15964 KB Output is correct
50 Correct 102 ms 15948 KB Output is correct
51 Correct 110 ms 15952 KB Output is correct
52 Correct 97 ms 15948 KB Output is correct
53 Correct 99 ms 15956 KB Output is correct
54 Correct 95 ms 15964 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 340 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 0 ms 340 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 0 ms 340 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 1 ms 340 KB Output is correct
76 Correct 115 ms 15948 KB Output is correct
77 Correct 115 ms 22092 KB Output is correct
78 Correct 126 ms 21432 KB Output is correct
79 Correct 105 ms 21572 KB Output is correct
80 Correct 115 ms 22216 KB Output is correct
81 Correct 129 ms 21584 KB Output is correct
82 Correct 121 ms 21448 KB Output is correct
83 Correct 113 ms 21948 KB Output is correct
84 Correct 115 ms 21708 KB Output is correct
85 Correct 121 ms 22052 KB Output is correct
86 Correct 113 ms 21456 KB Output is correct
87 Correct 123 ms 21456 KB Output is correct
88 Correct 108 ms 21712 KB Output is correct
89 Correct 128 ms 21448 KB Output is correct
90 Correct 109 ms 21444 KB Output is correct
91 Correct 109 ms 21232 KB Output is correct
92 Correct 135 ms 22548 KB Output is correct
93 Correct 129 ms 21964 KB Output is correct
94 Correct 108 ms 20916 KB Output is correct
95 Correct 127 ms 22352 KB Output is correct
96 Correct 104 ms 21232 KB Output is correct
97 Correct 113 ms 21588 KB Output is correct
98 Correct 112 ms 21704 KB Output is correct
99 Correct 123 ms 21436 KB Output is correct
100 Correct 114 ms 21572 KB Output is correct