답안 #1006293

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1006293	2024-06-23T16:57:44 Z	MilosMilutinovic	Discharging (NOI20_discharging)	C++14	100 / 100	321 ms	151232 KB

Discharging

#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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

답안 #1006293

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 13.0 / 13.0

Subtask #3 25.0 / 25.0

Subtask #4 11.0 / 11.0

Subtask #5 14.0 / 14.0

Subtask #6 28.0 / 28.0

Subtask #1
9.0 / 9.0

Subtask #2
13.0 / 13.0

Subtask #3
25.0 / 25.0

Subtask #4
11.0 / 11.0

Subtask #5
14.0 / 14.0

Subtask #6
28.0 / 28.0