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Submission #1109647

# Submission time Handle Problem Language Result Execution time Memory
1109647 2024-11-07T08:43:58 Z Zero_OP Bigger segments (IZhO19_segments) C++14
100 / 100
 82 ms 13132 KB 
#include <bits/stdc++.h>

using namespace std;

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int N;
    cin >> N;
    vector<long long> pref(N + 1);
    for(int i = 1; i <= N; ++i){
        cin >> pref[i];
        pref[i] += pref[i - 1];
    }

    vector<int> dp(N + 1), pos(N + 1);

    for(int i = 1; i <= N; ++i){
        pos[i] = max(pos[i], pos[i - 1]);
        dp[i] = dp[pos[i]] + 1;

        //(pos[i], i] <= (i, x] with x minimum
        //=> pref[i] - pref[pos[i]] <= pref[x] - pref[i]
        //=> 2 * pref[i] - pref[pos[i]]; <= pref[x]

        int ub = lower_bound(pref.begin(), pref.end(), 2 * pref[i] - pref[pos[i]]) - pref.begin();
        if(ub < (int)pref.size()) pos[ub] = max(pos[ub], i);
    }

    cout << dp[N] << '\n';

    return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 504 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 504 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 504 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 504 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 504 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 504 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 2 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 336 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 504 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 504 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 2 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 336 KB Output is correct
46 Correct 8 ms 2384 KB Output is correct
47 Correct 10 ms 2380 KB Output is correct
48 Correct 12 ms 2772 KB Output is correct
49 Correct 17 ms 2036 KB Output is correct
50 Correct 15 ms 1872 KB Output is correct
51 Correct 12 ms 2896 KB Output is correct
52 Correct 9 ms 1104 KB Output is correct
53 Correct 5 ms 1272 KB Output is correct
54 Correct 9 ms 2028 KB Output is correct
55 Correct 13 ms 3068 KB Output is correct
56 Correct 15 ms 2384 KB Output is correct
57 Correct 10 ms 2384 KB Output is correct
58 Correct 10 ms 2384 KB Output is correct
59 Correct 12 ms 2384 KB Output is correct
60 Correct 12 ms 2384 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 508 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 504 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 504 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 2 ms 460 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 2 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 336 KB Output is correct
46 Correct 8 ms 2384 KB Output is correct
47 Correct 10 ms 2380 KB Output is correct
48 Correct 12 ms 2772 KB Output is correct
49 Correct 17 ms 2036 KB Output is correct
50 Correct 15 ms 1872 KB Output is correct
51 Correct 12 ms 2896 KB Output is correct
52 Correct 9 ms 1104 KB Output is correct
53 Correct 5 ms 1272 KB Output is correct
54 Correct 9 ms 2028 KB Output is correct
55 Correct 13 ms 3068 KB Output is correct
56 Correct 15 ms 2384 KB Output is correct
57 Correct 10 ms 2384 KB Output is correct
58 Correct 10 ms 2384 KB Output is correct
59 Correct 12 ms 2384 KB Output is correct
60 Correct 12 ms 2384 KB Output is correct
61 Correct 36 ms 8272 KB Output is correct
62 Correct 36 ms 9984 KB Output is correct
63 Correct 45 ms 10444 KB Output is correct
64 Correct 68 ms 12616 KB Output is correct
65 Correct 82 ms 12920 KB Output is correct
66 Correct 69 ms 12104 KB Output is correct
67 Correct 48 ms 10464 KB Output is correct
68 Correct 25 ms 5204 KB Output is correct
69 Correct 41 ms 8272 KB Output is correct
70 Correct 67 ms 13132 KB Output is correct
71 Correct 48 ms 10064 KB Output is correct
72 Correct 47 ms 10368 KB Output is correct
73 Correct 51 ms 11140 KB Output is correct
74 Correct 53 ms 8268 KB Output is correct
75 Correct 51 ms 11520 KB Output is correct