#include <iostream>
using namespace std;
const int N = 5e5 + 5;
int n;
long long s[N];
pair<int, int> dp[N];
bool check(int mid, int index)
{
return s[mid] >= 2 * s[index] - s[dp[index].second - 1];
}
int binarySearch(int index)
{
int l = index + 1, r = n;
while(l < r)
{
int mid = (l + r) / 2;
if(check(mid, index))
r = mid;
else
l = mid + 1;
}
return (check(l, index) ? l : -1);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
for(int i = 1; i <= n; i++)
{
int x;
cin >> x;
s[i] = x + s[i - 1];
}
dp[1] = {1, 1};
for(int i = 1; i <= n; i++)
{
dp[i + 1] = max(dp[i + 1], dp[i]);
int x = binarySearch(i);
if(x != -1)
dp[x] = max(dp[x], {dp[i].first + 1, i + 1});
}
cout << dp[n].first << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
320 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
320 KB |
Output is correct |
16 |
Correct |
0 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
0 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
320 KB |
Output is correct |
16 |
Correct |
0 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
0 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
328 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
328 KB |
Output is correct |
35 |
Correct |
1 ms |
336 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
0 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
320 KB |
Output is correct |
16 |
Correct |
0 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
0 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
328 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
328 KB |
Output is correct |
35 |
Correct |
1 ms |
336 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
0 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
11 ms |
2252 KB |
Output is correct |
47 |
Correct |
13 ms |
2340 KB |
Output is correct |
48 |
Correct |
14 ms |
2572 KB |
Output is correct |
49 |
Correct |
13 ms |
2756 KB |
Output is correct |
50 |
Correct |
13 ms |
2848 KB |
Output is correct |
51 |
Correct |
17 ms |
2844 KB |
Output is correct |
52 |
Correct |
8 ms |
1504 KB |
Output is correct |
53 |
Correct |
5 ms |
972 KB |
Output is correct |
54 |
Correct |
11 ms |
2092 KB |
Output is correct |
55 |
Correct |
18 ms |
2756 KB |
Output is correct |
56 |
Correct |
9 ms |
2264 KB |
Output is correct |
57 |
Correct |
10 ms |
2244 KB |
Output is correct |
58 |
Correct |
10 ms |
2340 KB |
Output is correct |
59 |
Correct |
11 ms |
2376 KB |
Output is correct |
60 |
Correct |
11 ms |
2372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
0 ms |
320 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
0 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
320 KB |
Output is correct |
16 |
Correct |
0 ms |
320 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
0 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
328 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
328 KB |
Output is correct |
35 |
Correct |
1 ms |
336 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
0 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
11 ms |
2252 KB |
Output is correct |
47 |
Correct |
13 ms |
2340 KB |
Output is correct |
48 |
Correct |
14 ms |
2572 KB |
Output is correct |
49 |
Correct |
13 ms |
2756 KB |
Output is correct |
50 |
Correct |
13 ms |
2848 KB |
Output is correct |
51 |
Correct |
17 ms |
2844 KB |
Output is correct |
52 |
Correct |
8 ms |
1504 KB |
Output is correct |
53 |
Correct |
5 ms |
972 KB |
Output is correct |
54 |
Correct |
11 ms |
2092 KB |
Output is correct |
55 |
Correct |
18 ms |
2756 KB |
Output is correct |
56 |
Correct |
9 ms |
2264 KB |
Output is correct |
57 |
Correct |
10 ms |
2244 KB |
Output is correct |
58 |
Correct |
10 ms |
2340 KB |
Output is correct |
59 |
Correct |
11 ms |
2376 KB |
Output is correct |
60 |
Correct |
11 ms |
2372 KB |
Output is correct |
61 |
Correct |
60 ms |
10020 KB |
Output is correct |
62 |
Correct |
65 ms |
10036 KB |
Output is correct |
63 |
Correct |
65 ms |
10456 KB |
Output is correct |
64 |
Correct |
70 ms |
12644 KB |
Output is correct |
65 |
Correct |
62 ms |
12996 KB |
Output is correct |
66 |
Correct |
82 ms |
12896 KB |
Output is correct |
67 |
Correct |
60 ms |
10312 KB |
Output is correct |
68 |
Correct |
30 ms |
5276 KB |
Output is correct |
69 |
Correct |
55 ms |
9132 KB |
Output is correct |
70 |
Correct |
71 ms |
13080 KB |
Output is correct |
71 |
Correct |
43 ms |
10064 KB |
Output is correct |
72 |
Correct |
53 ms |
10432 KB |
Output is correct |
73 |
Correct |
56 ms |
11016 KB |
Output is correct |
74 |
Correct |
56 ms |
11324 KB |
Output is correct |
75 |
Correct |
54 ms |
11432 KB |
Output is correct |