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Submission #911020

# Submission time Handle Problem Language Result Execution time Memory
911020 2024-01-18T11:21:16 Z daoquanglinh2007 Bigger segments (IZhO19_segments) C++17
100 / 100
 71 ms 25544 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define int long long
#define pii pair <int, int>
#define fi first
#define se second
#define mp make_pair
#define isz(a) (int)(a).size()
 
const int NM = 5e5;
 
int N, a[NM+5], pref[NM+5], trace[NM+5];
pii dp[NM+5];
vector <int> v;

void add(int x){
	while (!v.empty() && pref[v.back()]+dp[v.back()].se >= pref[x]+dp[x].se) v.pop_back();
	v.push_back(x);
}
 
signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> N;
	for (int i = 1; i <= N; i++){
		cin >> a[i];
		pref[i] = pref[i-1]+a[i];
	}
	add(0);
	for (int i = 1; i <= N; i++){
		int l = 0, r = isz(v)-1;
		while (l <= r){
			int mid = (l+r)/2;
			if (pref[i] >= pref[v[mid]]+dp[v[mid]].se){
				dp[i].fi = dp[v[mid]].fi+1;
				dp[i].se = pref[i]-pref[v[mid]];
				l = mid+1;
			}
			else r = mid-1;
		}
		add(i);
	}
	cout << dp[N].fi;
	return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 2 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 2 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2648 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2652 KB Output is correct
40 Correct 1 ms 2524 KB Output is correct
41 Correct 1 ms 2652 KB Output is correct
42 Correct 1 ms 2652 KB Output is correct
43 Correct 1 ms 2652 KB Output is correct
44 Correct 1 ms 2520 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 2 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2648 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2652 KB Output is correct
40 Correct 1 ms 2524 KB Output is correct
41 Correct 1 ms 2652 KB Output is correct
42 Correct 1 ms 2652 KB Output is correct
43 Correct 1 ms 2652 KB Output is correct
44 Correct 1 ms 2520 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct
46 Correct 11 ms 8920 KB Output is correct
47 Correct 15 ms 9168 KB Output is correct
48 Correct 12 ms 8276 KB Output is correct
49 Correct 13 ms 8972 KB Output is correct
50 Correct 14 ms 9944 KB Output is correct
51 Correct 14 ms 9692 KB Output is correct
52 Correct 8 ms 6216 KB Output is correct
53 Correct 5 ms 5600 KB Output is correct
54 Correct 11 ms 8920 KB Output is correct
55 Correct 17 ms 9684 KB Output is correct
56 Correct 11 ms 9176 KB Output is correct
57 Correct 12 ms 8924 KB Output is correct
58 Correct 13 ms 9180 KB Output is correct
59 Correct 12 ms 9180 KB Output is correct
60 Correct 12 ms 9180 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 2 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2648 KB Output is correct
33 Correct 1 ms 2392 KB Output is correct
34 Correct 2 ms 2652 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2652 KB Output is correct
40 Correct 1 ms 2524 KB Output is correct
41 Correct 1 ms 2652 KB Output is correct
42 Correct 1 ms 2652 KB Output is correct
43 Correct 1 ms 2652 KB Output is correct
44 Correct 1 ms 2520 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct
46 Correct 11 ms 8920 KB Output is correct
47 Correct 15 ms 9168 KB Output is correct
48 Correct 12 ms 8276 KB Output is correct
49 Correct 13 ms 8972 KB Output is correct
50 Correct 14 ms 9944 KB Output is correct
51 Correct 14 ms 9692 KB Output is correct
52 Correct 8 ms 6216 KB Output is correct
53 Correct 5 ms 5600 KB Output is correct
54 Correct 11 ms 8920 KB Output is correct
55 Correct 17 ms 9684 KB Output is correct
56 Correct 11 ms 9176 KB Output is correct
57 Correct 12 ms 8924 KB Output is correct
58 Correct 13 ms 9180 KB Output is correct
59 Correct 12 ms 9180 KB Output is correct
60 Correct 12 ms 9180 KB Output is correct
61 Correct 44 ms 22472 KB Output is correct
62 Correct 52 ms 22568 KB Output is correct
63 Correct 56 ms 22028 KB Output is correct
64 Correct 62 ms 22056 KB Output is correct
65 Correct 63 ms 25544 KB Output is correct
66 Correct 71 ms 25336 KB Output is correct
67 Correct 54 ms 21964 KB Output is correct
68 Correct 29 ms 15668 KB Output is correct
69 Correct 48 ms 20688 KB Output is correct
70 Correct 71 ms 25292 KB Output is correct
71 Correct 48 ms 22424 KB Output is correct
72 Correct 55 ms 22048 KB Output is correct
73 Correct 57 ms 22980 KB Output is correct
74 Correct 54 ms 23916 KB Output is correct
75 Correct 57 ms 24004 KB Output is correct