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Submission #693089

# Submission time Handle Problem Language Result Execution time Memory
693089 2023-02-02T11:18:06 Z taher Bigger segments (IZhO19_segments) C++17
100 / 100
 77 ms 27208 KB 
#include <bits/stdc++.h>

using namespace std;

vector<array<long long, 2>> cur;
int id = -1;

void Insert(long long v, int j) {
  // keep the whole thing strictly increasing
  while (!cur.empty() && cur.back()[0] >= v) {
    cur.pop_back();
  }
  cur.push_back({v, j});
  return ;
}

int Query(long long v) {
  while (id + 1 < (int) cur.size() && v >= cur[id + 1][0]) {
    ++id;
  }
  if (id >= 0) {
    return cur[id][1];
  }
  return -1;
}

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];
  }
  vector<long long> pref(a.begin(), a.end());
  for (int i = 1; i < n; i++) {
    pref[i] += pref[i - 1];
  }
  vector<array<long long, 2>> dp(n);
  dp[0] = {1, a[0]};
  Insert(2LL * a[0], 0);
  for (int i = 1; i < n; i++) {
    dp[i] = dp[i - 1];
    dp[i][1] += a[i];
    int pos = Query(pref[i]);
    if (pos >= 0) {
      if (dp[i][0] < dp[pos][0] + 1) {
        dp[i][0] = dp[pos][0] + 1;
        dp[i][1] = pref[i] - pref[pos];
      } else if (dp[i][0] == dp[pos][0] + 1) {
        dp[i][1] = min(dp[i][1], pref[i] - pref[pos]);
      }
    }
    Insert(dp[i][1] + pref[i], i);
  }
  cout << dp[n - 1][0] << '\n';
  return 0; 
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 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 240 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 0 ms 212 KB Output is correct
12 Correct 0 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 212 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 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 240 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 0 ms 212 KB Output is correct
12 Correct 0 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 212 KB Output is correct
16 Correct 0 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 328 KB Output is correct
20 Correct 1 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 320 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 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 316 KB Output is correct
30 Correct 1 ms 340 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 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 240 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 0 ms 212 KB Output is correct
12 Correct 0 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 212 KB Output is correct
16 Correct 0 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 328 KB Output is correct
20 Correct 1 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 320 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 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 316 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 2 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 460 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 452 KB Output is correct
42 Correct 1 ms 448 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 460 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 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 240 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 0 ms 212 KB Output is correct
12 Correct 0 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 212 KB Output is correct
16 Correct 0 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 328 KB Output is correct
20 Correct 1 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 320 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 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 316 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 2 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 460 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 452 KB Output is correct
42 Correct 1 ms 448 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 460 KB Output is correct
46 Correct 10 ms 5584 KB Output is correct
47 Correct 11 ms 5712 KB Output is correct
48 Correct 12 ms 4044 KB Output is correct
49 Correct 13 ms 5068 KB Output is correct
50 Correct 14 ms 6196 KB Output is correct
51 Correct 15 ms 6224 KB Output is correct
52 Correct 9 ms 3284 KB Output is correct
53 Correct 5 ms 2080 KB Output is correct
54 Correct 10 ms 5468 KB Output is correct
55 Correct 14 ms 6208 KB Output is correct
56 Correct 10 ms 5716 KB Output is correct
57 Correct 10 ms 5584 KB Output is correct
58 Correct 10 ms 5712 KB Output is correct
59 Correct 11 ms 5840 KB Output is correct
60 Correct 11 ms 5828 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 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 240 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 0 ms 212 KB Output is correct
12 Correct 0 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 212 KB Output is correct
16 Correct 0 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 328 KB Output is correct
20 Correct 1 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 320 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 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 316 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 492 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 2 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 460 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 1 ms 452 KB Output is correct
42 Correct 1 ms 448 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 1 ms 460 KB Output is correct
46 Correct 10 ms 5584 KB Output is correct
47 Correct 11 ms 5712 KB Output is correct
48 Correct 12 ms 4044 KB Output is correct
49 Correct 13 ms 5068 KB Output is correct
50 Correct 14 ms 6196 KB Output is correct
51 Correct 15 ms 6224 KB Output is correct
52 Correct 9 ms 3284 KB Output is correct
53 Correct 5 ms 2080 KB Output is correct
54 Correct 10 ms 5468 KB Output is correct
55 Correct 14 ms 6208 KB Output is correct
56 Correct 10 ms 5716 KB Output is correct
57 Correct 10 ms 5584 KB Output is correct
58 Correct 10 ms 5712 KB Output is correct
59 Correct 11 ms 5840 KB Output is correct
60 Correct 11 ms 5828 KB Output is correct
61 Correct 49 ms 24260 KB Output is correct
62 Correct 46 ms 24268 KB Output is correct
63 Correct 49 ms 24664 KB Output is correct
64 Correct 62 ms 20680 KB Output is correct
65 Correct 77 ms 27152 KB Output is correct
66 Correct 70 ms 27096 KB Output is correct
67 Correct 54 ms 23472 KB Output is correct
68 Correct 27 ms 11976 KB Output is correct
69 Correct 46 ms 23380 KB Output is correct
70 Correct 67 ms 27208 KB Output is correct
71 Correct 47 ms 24256 KB Output is correct
72 Correct 48 ms 24640 KB Output is correct
73 Correct 55 ms 25280 KB Output is correct
74 Correct 55 ms 25676 KB Output is correct
75 Correct 54 ms 25688 KB Output is correct