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Submission #1006293

# Submission time Handle Problem Language Result Execution time Memory
1006293 2024-06-23T16:57:44 Z MilosMilutinovic Discharging (NOI20_discharging) C++14
100 / 100
 321 ms 151232 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 1000100;

const long long inf = (long long) 1e18;

vector<int> xs;

struct Line { 
  long long k;
  long long n;
  Line(long long _k = 0, long long _n = inf) : k(_k), n(_n) {}
  long long val(long long x) {
    return k * x + n;
  }
} seg[8 * N];

void Modify(int id, int l, int r, Line ln) {
  int mid = (l + r) >> 1;
  if (ln.val(xs[mid]) < seg[id].val(xs[mid])) {
    swap(ln, seg[id]);
  }
  if (l == r) {
    return;
  }
  if (ln.val(xs[l]) < seg[id].val(xs[l])) {
    Modify(id * 2, l, mid, ln); 
  } else {
    Modify(id * 2 + 1, mid + 1, r, ln);
  }
}

long long Query(int id, int l, int r, int p) {
  if (l == r) {
    return seg[id].val(xs[p]);
  }
  int mid = (l + r) >> 1;
  if (p <= mid) {
    return min(seg[id].val(xs[p]), Query(id * 2, l, mid, p));
  } else {
    return min(seg[id].val(xs[p]), Query(id * 2 + 1, mid + 1, r, p));
  }
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n;
  cin >> n;
  vector<int> a(n);
  for (int i = 0; i < n; i++) {
    cin >> a[i];
  }
  for (int i = 0; i < n; i++) {
    xs.push_back(a[i]);
  }
  sort(xs.begin(), xs.end());
  xs.erase(unique(xs.begin(), xs.end()), xs.end());
  int k = (int) xs.size();
  vector<long long> dp(n, inf);
  int ptr = 0;
  int idx = 0;
  for (int i = 0; i < n; i++) {
    if (a[i] >= a[idx]) {
      idx = i;
    }
    while (ptr <= idx) {
      Modify(1, 0, k - 1, Line(n - ptr, (ptr == 0 ? 0LL : dp[ptr - 1])));
      ptr += 1;
    }
    int p = (int) (lower_bound(xs.begin(), xs.end(), a[idx]) - xs.begin());
    dp[i] = Query(1, 0, k - 1, p);
  }
  cout << dp[n - 1] << '\n';
  return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 125524 KB Output is correct
2 Correct 15 ms 125504 KB Output is correct
3 Correct 15 ms 125532 KB Output is correct
4 Correct 14 ms 125532 KB Output is correct
5 Correct 16 ms 125664 KB Output is correct
6 Correct 16 ms 125532 KB Output is correct
7 Correct 14 ms 125680 KB Output is correct
8 Correct 15 ms 125532 KB Output is correct
9 Correct 15 ms 125532 KB Output is correct
10 Correct 14 ms 125532 KB Output is correct
11 Correct 14 ms 125580 KB Output is correct
12 Correct 15 ms 125532 KB Output is correct
13 Correct 15 ms 125532 KB Output is correct
14 Correct 16 ms 125608 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 125532 KB Output is correct
2 Correct 16 ms 125532 KB Output is correct
3 Correct 15 ms 125640 KB Output is correct
4 Correct 15 ms 125532 KB Output is correct
5 Correct 16 ms 125532 KB Output is correct
6 Correct 16 ms 125532 KB Output is correct
7 Correct 18 ms 125532 KB Output is correct
8 Correct 15 ms 125532 KB Output is correct
9 Correct 15 ms 125532 KB Output is correct
10 Correct 15 ms 125532 KB Output is correct
11 Correct 18 ms 125532 KB Output is correct
12 Correct 17 ms 125664 KB Output is correct
13 Correct 16 ms 125532 KB Output is correct
14 Correct 18 ms 125532 KB Output is correct
15 Correct 15 ms 125532 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 125532 KB Output is correct
2 Correct 16 ms 125532 KB Output is correct
3 Correct 15 ms 125640 KB Output is correct
4 Correct 15 ms 125532 KB Output is correct
5 Correct 16 ms 125532 KB Output is correct
6 Correct 16 ms 125532 KB Output is correct
7 Correct 18 ms 125532 KB Output is correct
8 Correct 15 ms 125532 KB Output is correct
9 Correct 15 ms 125532 KB Output is correct
10 Correct 15 ms 125532 KB Output is correct
11 Correct 18 ms 125532 KB Output is correct
12 Correct 17 ms 125664 KB Output is correct
13 Correct 16 ms 125532 KB Output is correct
14 Correct 18 ms 125532 KB Output is correct
15 Correct 15 ms 125532 KB Output is correct
16 Correct 240 ms 146496 KB Output is correct
17 Correct 241 ms 147396 KB Output is correct
18 Correct 235 ms 145912 KB Output is correct
19 Correct 260 ms 147144 KB Output is correct
20 Correct 251 ms 147144 KB Output is correct
21 Correct 271 ms 147144 KB Output is correct
22 Correct 239 ms 146768 KB Output is correct
23 Correct 321 ms 147912 KB Output is correct
24 Correct 257 ms 147144 KB Output is correct
25 Correct 229 ms 147656 KB Output is correct
26 Correct 233 ms 147904 KB Output is correct
27 Correct 252 ms 146380 KB Output is correct
28 Correct 225 ms 147264 KB Output is correct
29 Correct 258 ms 147780 KB Output is correct
30 Correct 254 ms 147656 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 150984 KB Output is correct
2 Correct 180 ms 150976 KB Output is correct
3 Correct 179 ms 150988 KB Output is correct
4 Correct 199 ms 150972 KB Output is correct
5 Correct 176 ms 150984 KB Output is correct
6 Correct 163 ms 151188 KB Output is correct
7 Correct 161 ms 150984 KB Output is correct
8 Correct 166 ms 151232 KB Output is correct
9 Correct 179 ms 150988 KB Output is correct
10 Correct 168 ms 151084 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 125524 KB Output is correct
2 Correct 15 ms 125504 KB Output is correct
3 Correct 15 ms 125532 KB Output is correct
4 Correct 14 ms 125532 KB Output is correct
5 Correct 16 ms 125664 KB Output is correct
6 Correct 16 ms 125532 KB Output is correct
7 Correct 14 ms 125680 KB Output is correct
8 Correct 15 ms 125532 KB Output is correct
9 Correct 15 ms 125532 KB Output is correct
10 Correct 14 ms 125532 KB Output is correct
11 Correct 14 ms 125580 KB Output is correct
12 Correct 15 ms 125532 KB Output is correct
13 Correct 15 ms 125532 KB Output is correct
14 Correct 16 ms 125608 KB Output is correct
15 Correct 16 ms 125532 KB Output is correct
16 Correct 16 ms 125532 KB Output is correct
17 Correct 15 ms 125640 KB Output is correct
18 Correct 15 ms 125532 KB Output is correct
19 Correct 16 ms 125532 KB Output is correct
20 Correct 16 ms 125532 KB Output is correct
21 Correct 18 ms 125532 KB Output is correct
22 Correct 15 ms 125532 KB Output is correct
23 Correct 15 ms 125532 KB Output is correct
24 Correct 15 ms 125532 KB Output is correct
25 Correct 18 ms 125532 KB Output is correct
26 Correct 17 ms 125664 KB Output is correct
27 Correct 16 ms 125532 KB Output is correct
28 Correct 18 ms 125532 KB Output is correct
29 Correct 15 ms 125532 KB Output is correct
30 Correct 16 ms 125532 KB Output is correct
31 Correct 14 ms 125672 KB Output is correct
32 Correct 15 ms 125532 KB Output is correct
33 Correct 14 ms 125748 KB Output is correct
34 Correct 16 ms 125532 KB Output is correct
35 Correct 14 ms 125532 KB Output is correct
36 Correct 14 ms 125532 KB Output is correct
37 Correct 15 ms 125708 KB Output is correct
38 Correct 14 ms 125532 KB Output is correct
39 Correct 15 ms 125648 KB Output is correct
40 Correct 15 ms 125532 KB Output is correct
41 Correct 15 ms 125624 KB Output is correct
42 Correct 14 ms 125532 KB Output is correct
43 Correct 18 ms 125532 KB Output is correct
44 Correct 16 ms 125648 KB Output is correct
45 Correct 15 ms 125720 KB Output is correct
46 Correct 14 ms 125532 KB Output is correct
47 Correct 15 ms 125532 KB Output is correct
48 Correct 15 ms 125532 KB Output is correct
49 Correct 15 ms 125608 KB Output is correct
50 Correct 14 ms 125532 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 125524 KB Output is correct
2 Correct 15 ms 125504 KB Output is correct
3 Correct 15 ms 125532 KB Output is correct
4 Correct 14 ms 125532 KB Output is correct
5 Correct 16 ms 125664 KB Output is correct
6 Correct 16 ms 125532 KB Output is correct
7 Correct 14 ms 125680 KB Output is correct
8 Correct 15 ms 125532 KB Output is correct
9 Correct 15 ms 125532 KB Output is correct
10 Correct 14 ms 125532 KB Output is correct
11 Correct 14 ms 125580 KB Output is correct
12 Correct 15 ms 125532 KB Output is correct
13 Correct 15 ms 125532 KB Output is correct
14 Correct 16 ms 125608 KB Output is correct
15 Correct 16 ms 125532 KB Output is correct
16 Correct 16 ms 125532 KB Output is correct
17 Correct 15 ms 125640 KB Output is correct
18 Correct 15 ms 125532 KB Output is correct
19 Correct 16 ms 125532 KB Output is correct
20 Correct 16 ms 125532 KB Output is correct
21 Correct 18 ms 125532 KB Output is correct
22 Correct 15 ms 125532 KB Output is correct
23 Correct 15 ms 125532 KB Output is correct
24 Correct 15 ms 125532 KB Output is correct
25 Correct 18 ms 125532 KB Output is correct
26 Correct 17 ms 125664 KB Output is correct
27 Correct 16 ms 125532 KB Output is correct
28 Correct 18 ms 125532 KB Output is correct
29 Correct 15 ms 125532 KB Output is correct
30 Correct 240 ms 146496 KB Output is correct
31 Correct 241 ms 147396 KB Output is correct
32 Correct 235 ms 145912 KB Output is correct
33 Correct 260 ms 147144 KB Output is correct
34 Correct 251 ms 147144 KB Output is correct
35 Correct 271 ms 147144 KB Output is correct
36 Correct 239 ms 146768 KB Output is correct
37 Correct 321 ms 147912 KB Output is correct
38 Correct 257 ms 147144 KB Output is correct
39 Correct 229 ms 147656 KB Output is correct
40 Correct 233 ms 147904 KB Output is correct
41 Correct 252 ms 146380 KB Output is correct
42 Correct 225 ms 147264 KB Output is correct
43 Correct 258 ms 147780 KB Output is correct
44 Correct 254 ms 147656 KB Output is correct
45 Correct 176 ms 150984 KB Output is correct
46 Correct 180 ms 150976 KB Output is correct
47 Correct 179 ms 150988 KB Output is correct
48 Correct 199 ms 150972 KB Output is correct
49 Correct 176 ms 150984 KB Output is correct
50 Correct 163 ms 151188 KB Output is correct
51 Correct 161 ms 150984 KB Output is correct
52 Correct 166 ms 151232 KB Output is correct
53 Correct 179 ms 150988 KB Output is correct
54 Correct 168 ms 151084 KB Output is correct
55 Correct 16 ms 125532 KB Output is correct
56 Correct 14 ms 125672 KB Output is correct
57 Correct 15 ms 125532 KB Output is correct
58 Correct 14 ms 125748 KB Output is correct
59 Correct 16 ms 125532 KB Output is correct
60 Correct 14 ms 125532 KB Output is correct
61 Correct 14 ms 125532 KB Output is correct
62 Correct 15 ms 125708 KB Output is correct
63 Correct 14 ms 125532 KB Output is correct
64 Correct 15 ms 125648 KB Output is correct
65 Correct 15 ms 125532 KB Output is correct
66 Correct 15 ms 125624 KB Output is correct
67 Correct 14 ms 125532 KB Output is correct
68 Correct 18 ms 125532 KB Output is correct
69 Correct 16 ms 125648 KB Output is correct
70 Correct 15 ms 125720 KB Output is correct
71 Correct 14 ms 125532 KB Output is correct
72 Correct 15 ms 125532 KB Output is correct
73 Correct 15 ms 125532 KB Output is correct
74 Correct 15 ms 125608 KB Output is correct
75 Correct 14 ms 125532 KB Output is correct
76 Correct 244 ms 147396 KB Output is correct
77 Correct 259 ms 147396 KB Output is correct
78 Correct 238 ms 146884 KB Output is correct
79 Correct 223 ms 147140 KB Output is correct
80 Correct 242 ms 147908 KB Output is correct
81 Correct 221 ms 146884 KB Output is correct
82 Correct 230 ms 146888 KB Output is correct
83 Correct 255 ms 147388 KB Output is correct
84 Correct 223 ms 147140 KB Output is correct
85 Correct 260 ms 147696 KB Output is correct
86 Correct 251 ms 146884 KB Output is correct
87 Correct 224 ms 146632 KB Output is correct
88 Correct 259 ms 147140 KB Output is correct
89 Correct 240 ms 146872 KB Output is correct
90 Correct 246 ms 146880 KB Output is correct
91 Correct 235 ms 146628 KB Output is correct
92 Correct 260 ms 147912 KB Output is correct
93 Correct 230 ms 147144 KB Output is correct
94 Correct 238 ms 146240 KB Output is correct
95 Correct 275 ms 147652 KB Output is correct
96 Correct 238 ms 146628 KB Output is correct
97 Correct 240 ms 146888 KB Output is correct
98 Correct 246 ms 147128 KB Output is correct
99 Correct 216 ms 146884 KB Output is correct
100 Correct 235 ms 147008 KB Output is correct