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Submission #990912

# Submission time Handle Problem Language Result Execution time Memory
990912 2024-05-31T19:21:35 Z ToniB Bigger segments (IZhO19_segments) C++17
100 / 100
 300 ms 50260 KB 
#include <bits/stdc++.h>
using namespace std;

#define X first
#define Y second

typedef long long ll;
typedef pair<int, ll> pii;

const int N = 5e5 + 2;

int n, a[N];
pii dp[N];
ll pre[N];
set<pair<ll, pii> > s;

pii cmp_dp(pii x, pii y) {
	if (x.X == y.X) {
		if (x.Y < y.Y) return x;
		return y;
	}
	if (x.X > y.X) return x;
	return y;
}
bool higher(pii x, pii y) {
	if (x.X == y.X) return x.Y > y.Y;
	return x.X > y.X;
}

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

	cin >> n;
	for (int i = 0; i < n; ++i) cin >> a[i];

	pre[0] = a[0];
	for (int i = 1; i < n; ++i) pre[i] = a[i] + pre[i - 1];

	for (int i = 0; i < n; ++i) {
		dp[i] = {1, pre[i]};
		
		auto it = s.lower_bound({pre[i] + 1, {0, 0}});
		
		if (it != s.begin()) {
			--it;
			dp[i] = cmp_dp(dp[i], {(*it).Y.X + 1, pre[i] - (*it).Y.Y});
		}
		
		pii cur = {dp[i].X, pre[i]};
		ll x = dp[i].Y + pre[i];
		
		it = s.lower_bound({x, {0, 0}});
		
		while (it != s.end() && !higher((*it).second, cur)) {
			s.erase(it);
			it = s.lower_bound({x, {0, 0}});
		}
		
		it = s.lower_bound({x + 1, {0, 0}});

		if (it != s.begin() && !higher(cur, (*--it).second)) continue;
		s.insert({x, cur});
	}

	cout << dp[n - 1].X << "\n";
	
	return 0;
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 0 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 0 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 0 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 0 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 0 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 0 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4700 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 2 ms 4696 KB Output is correct
35 Correct 1 ms 4700 KB Output is correct
36 Correct 2 ms 4700 KB Output is correct
37 Correct 1 ms 4700 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4700 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 1 ms 4700 KB Output is correct
42 Correct 1 ms 4700 KB Output is correct
43 Correct 1 ms 4700 KB Output is correct
44 Correct 1 ms 4700 KB Output is correct
45 Correct 1 ms 4700 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 0 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 0 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4700 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 2 ms 4696 KB Output is correct
35 Correct 1 ms 4700 KB Output is correct
36 Correct 2 ms 4700 KB Output is correct
37 Correct 1 ms 4700 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4700 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 1 ms 4700 KB Output is correct
42 Correct 1 ms 4700 KB Output is correct
43 Correct 1 ms 4700 KB Output is correct
44 Correct 1 ms 4700 KB Output is correct
45 Correct 1 ms 4700 KB Output is correct
46 Correct 41 ms 14932 KB Output is correct
47 Correct 36 ms 13400 KB Output is correct
48 Correct 28 ms 9916 KB Output is correct
49 Correct 43 ms 13140 KB Output is correct
50 Correct 47 ms 15956 KB Output is correct
51 Correct 48 ms 14676 KB Output is correct
52 Correct 22 ms 11604 KB Output is correct
53 Correct 12 ms 10564 KB Output is correct
54 Correct 42 ms 13448 KB Output is correct
55 Correct 54 ms 15444 KB Output is correct
56 Correct 50 ms 15384 KB Output is correct
57 Correct 44 ms 14928 KB Output is correct
58 Correct 42 ms 14672 KB Output is correct
59 Correct 45 ms 15444 KB Output is correct
60 Correct 48 ms 15440 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 0 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 0 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4700 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 2 ms 4696 KB Output is correct
35 Correct 1 ms 4700 KB Output is correct
36 Correct 2 ms 4700 KB Output is correct
37 Correct 1 ms 4700 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4700 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 1 ms 4700 KB Output is correct
42 Correct 1 ms 4700 KB Output is correct
43 Correct 1 ms 4700 KB Output is correct
44 Correct 1 ms 4700 KB Output is correct
45 Correct 1 ms 4700 KB Output is correct
46 Correct 41 ms 14932 KB Output is correct
47 Correct 36 ms 13400 KB Output is correct
48 Correct 28 ms 9916 KB Output is correct
49 Correct 43 ms 13140 KB Output is correct
50 Correct 47 ms 15956 KB Output is correct
51 Correct 48 ms 14676 KB Output is correct
52 Correct 22 ms 11604 KB Output is correct
53 Correct 12 ms 10564 KB Output is correct
54 Correct 42 ms 13448 KB Output is correct
55 Correct 54 ms 15444 KB Output is correct
56 Correct 50 ms 15384 KB Output is correct
57 Correct 44 ms 14928 KB Output is correct
58 Correct 42 ms 14672 KB Output is correct
59 Correct 45 ms 15444 KB Output is correct
60 Correct 48 ms 15440 KB Output is correct
61 Correct 251 ms 47184 KB Output is correct
62 Correct 258 ms 47444 KB Output is correct
63 Correct 227 ms 39092 KB Output is correct
64 Correct 239 ms 24916 KB Output is correct
65 Correct 281 ms 50260 KB Output is correct
66 Correct 282 ms 43604 KB Output is correct
67 Correct 227 ms 37460 KB Output is correct
68 Correct 102 ms 22608 KB Output is correct
69 Correct 268 ms 38076 KB Output is correct
70 Correct 298 ms 47700 KB Output is correct
71 Correct 264 ms 47184 KB Output is correct
72 Correct 252 ms 41484 KB Output is correct
73 Correct 258 ms 43600 KB Output is correct
74 Correct 300 ms 48720 KB Output is correct
75 Correct 296 ms 48492 KB Output is correct