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Submission #284225

# Submission time Handle Problem Language Result Execution time Memory
284225 2020-08-27T04:11:38 Z 김동현(#5767) Discharging (NOI20_discharging) C++17
100 / 100
 156 ms 22520 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;

using vint = vector<int>;
using vll = vector<ll>;
using vld = vector<ld>;
using vpii = vector<pii>;
using vpil = vector<pil>;
using vpli = vector<pli>;
using vpll = vector<pll>;

#define x first
#define y second
#define all(v) v.begin(),v.end()

namespace Cht {
  struct Lin {
    ll a, b;
    ll f(ll x){ return a * x + b; }
  };
  deque<Lin> dq;
  int sz;

  int pop(Lin p, Lin q, Lin r) {
    return __int128_t(r.b - p.b) * (p.a - q.a) < __int128_t(q.b - p.b) * (p.a - r.a);
  }

  void u(ll a, ll b){
    Lin cur = {a, b};
    while(sz >= 2 && pop(dq[sz - 2], dq[sz - 1], cur)){ dq.pop_back(); sz--; }
    dq.push_back(cur); sz++;
  }

  ll g(ll x) {
    while(sz >= 2 && dq[0].f(x) > dq[1].f(x)){ dq.pop_front(); sz--; }
    return dq[0].f(x);
  }
}

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

  int n;
  cin >> n;

  vll a(n + 1);
  for(int i = 1; i <= n; i++) {
    cin >> a[i];
    a[i] = max(a[i], a[i - 1]);
  }

  vll d(n + 1);
  Cht::u(n, 0);
  for(int i = 1; i <= n; i++){
    d[i] = Cht::g(a[i]);
    Cht::u(n - i, d[i]);
  }
  cout << d[n] << '\n';

  return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 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 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 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 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 0 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 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 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 384 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 384 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

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 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 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 384 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 384 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 113 ms 16888 KB Output is correct
17 Correct 121 ms 16632 KB Output is correct
18 Correct 113 ms 16632 KB Output is correct
19 Correct 132 ms 16632 KB Output is correct
20 Correct 127 ms 16632 KB Output is correct
21 Correct 118 ms 16632 KB Output is correct
22 Correct 116 ms 16668 KB Output is correct
23 Correct 156 ms 16632 KB Output is correct
24 Correct 121 ms 16632 KB Output is correct
25 Correct 146 ms 16632 KB Output is correct
26 Correct 129 ms 16632 KB Output is correct
27 Correct 113 ms 16632 KB Output is correct
28 Correct 121 ms 16632 KB Output is correct
29 Correct 125 ms 16632 KB Output is correct
30 Correct 126 ms 16632 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 16808 KB Output is correct
2 Correct 141 ms 16760 KB Output is correct
3 Correct 134 ms 16632 KB Output is correct
4 Correct 143 ms 16632 KB Output is correct
5 Correct 136 ms 16632 KB Output is correct
6 Correct 135 ms 16632 KB Output is correct
7 Correct 135 ms 16672 KB Output is correct
8 Correct 133 ms 16632 KB Output is correct
9 Correct 140 ms 16504 KB Output is correct
10 Correct 140 ms 16508 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 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 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 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 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 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 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 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 384 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 400 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 384 KB Output is correct
44 Correct 1 ms 396 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 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 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 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 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 0 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 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 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 113 ms 16888 KB Output is correct
31 Correct 121 ms 16632 KB Output is correct
32 Correct 113 ms 16632 KB Output is correct
33 Correct 132 ms 16632 KB Output is correct
34 Correct 127 ms 16632 KB Output is correct
35 Correct 118 ms 16632 KB Output is correct
36 Correct 116 ms 16668 KB Output is correct
37 Correct 156 ms 16632 KB Output is correct
38 Correct 121 ms 16632 KB Output is correct
39 Correct 146 ms 16632 KB Output is correct
40 Correct 129 ms 16632 KB Output is correct
41 Correct 113 ms 16632 KB Output is correct
42 Correct 121 ms 16632 KB Output is correct
43 Correct 125 ms 16632 KB Output is correct
44 Correct 126 ms 16632 KB Output is correct
45 Correct 133 ms 16808 KB Output is correct
46 Correct 141 ms 16760 KB Output is correct
47 Correct 134 ms 16632 KB Output is correct
48 Correct 143 ms 16632 KB Output is correct
49 Correct 136 ms 16632 KB Output is correct
50 Correct 135 ms 16632 KB Output is correct
51 Correct 135 ms 16672 KB Output is correct
52 Correct 133 ms 16632 KB Output is correct
53 Correct 140 ms 16504 KB Output is correct
54 Correct 140 ms 16508 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 384 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 400 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 384 KB Output is correct
69 Correct 1 ms 396 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 118 ms 16652 KB Output is correct
77 Correct 128 ms 16752 KB Output is correct
78 Correct 116 ms 21496 KB Output is correct
79 Correct 116 ms 21856 KB Output is correct
80 Correct 120 ms 22392 KB Output is correct
81 Correct 139 ms 21624 KB Output is correct
82 Correct 134 ms 21496 KB Output is correct
83 Correct 145 ms 22008 KB Output is correct
84 Correct 119 ms 21880 KB Output is correct
85 Correct 120 ms 22084 KB Output is correct
86 Correct 113 ms 21496 KB Output is correct
87 Correct 113 ms 21408 KB Output is correct
88 Correct 119 ms 21880 KB Output is correct
89 Correct 119 ms 21496 KB Output is correct
90 Correct 117 ms 21516 KB Output is correct
91 Correct 127 ms 21240 KB Output is correct
92 Correct 129 ms 22520 KB Output is correct
93 Correct 124 ms 21752 KB Output is correct
94 Correct 114 ms 20988 KB Output is correct
95 Correct 121 ms 22520 KB Output is correct
96 Correct 114 ms 21244 KB Output is correct
97 Correct 116 ms 21628 KB Output is correct
98 Correct 118 ms 21752 KB Output is correct
99 Correct 115 ms 21496 KB Output is correct
100 Correct 114 ms 21496 KB Output is correct