#include <bits/stdc++.h>
using namespace std;
template<class T, class U>
void ckmin(T &a, U b)
{
if (a > b) a = b;
}
template<class T, class U>
void ckmax(T &a, U b)
{
if (a < b) a = b;
}
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define SZ(x) ((int) ((x).size()))
#define ALL(x) (x).begin(), (x).end()
#define MAXN 500013
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
int N;
ll arr[MAXN], pref[MAXN];
pll dp[MAXN];
pll fen[MAXN];
int ans;
void update(int idx, pll p)
{
for (int e = idx + 1; e <= N + 2; e += e & (-e))
{
ckmax(fen[e], p);
}
return;
}
pll query(int idx)
{
pll res;
for (int e = idx + 1; e; e -= e & (-e))
{
ckmax(res, fen[e]);
}
return res;
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N;
FOR(i, 0, N)
{
cin >> arr[i];
pref[i + 1] = pref[i] + arr[i];
}
dp[0] = {0, 0}; //best, sum needed
FOR(i, 0, N)
{
//you need pref to be >= dp[j].se
int idx = LB(pref, pref + N + 1, pref[i] + dp[i].se) - pref;
update(idx, {dp[i].fi + 1, pref[i]});
pll p = query(i + 1);
dp[i + 1] = {p.fi, pref[i + 1] - p.se};
}
// FOR(i, 1, N + 1)
// {
// FORD(j, i, 0)
// {
// if (pref[i] >= dp[j].se + pref[j])
// {
// dp[i].fi = dp[j].fi + 1;
// dp[i].se = pref[i] - pref[j];
// break;
// }
// }
// }
//ok cool so we only need an update suffix, query point
ans = dp[N].fi;
//choose the rightmost umber to go off of
cout << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
2 ms |
376 KB |
Output is correct |
14 |
Correct |
12 ms |
504 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
2 ms |
376 KB |
Output is correct |
14 |
Correct |
12 ms |
504 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
16 |
Correct |
2 ms |
376 KB |
Output is correct |
17 |
Correct |
2 ms |
376 KB |
Output is correct |
18 |
Correct |
2 ms |
376 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
2 ms |
376 KB |
Output is correct |
23 |
Correct |
2 ms |
376 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
2 ms |
376 KB |
Output is correct |
26 |
Correct |
2 ms |
376 KB |
Output is correct |
27 |
Correct |
2 ms |
372 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
2 ms |
376 KB |
Output is correct |
30 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
2 ms |
376 KB |
Output is correct |
14 |
Correct |
12 ms |
504 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
16 |
Correct |
2 ms |
376 KB |
Output is correct |
17 |
Correct |
2 ms |
376 KB |
Output is correct |
18 |
Correct |
2 ms |
376 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
2 ms |
376 KB |
Output is correct |
23 |
Correct |
2 ms |
376 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
2 ms |
376 KB |
Output is correct |
26 |
Correct |
2 ms |
376 KB |
Output is correct |
27 |
Correct |
2 ms |
372 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
2 ms |
376 KB |
Output is correct |
30 |
Correct |
2 ms |
376 KB |
Output is correct |
31 |
Correct |
3 ms |
504 KB |
Output is correct |
32 |
Correct |
3 ms |
504 KB |
Output is correct |
33 |
Correct |
3 ms |
504 KB |
Output is correct |
34 |
Correct |
3 ms |
504 KB |
Output is correct |
35 |
Correct |
3 ms |
504 KB |
Output is correct |
36 |
Correct |
3 ms |
504 KB |
Output is correct |
37 |
Correct |
3 ms |
504 KB |
Output is correct |
38 |
Correct |
3 ms |
504 KB |
Output is correct |
39 |
Correct |
3 ms |
504 KB |
Output is correct |
40 |
Correct |
3 ms |
504 KB |
Output is correct |
41 |
Correct |
3 ms |
504 KB |
Output is correct |
42 |
Correct |
3 ms |
504 KB |
Output is correct |
43 |
Correct |
3 ms |
504 KB |
Output is correct |
44 |
Correct |
3 ms |
424 KB |
Output is correct |
45 |
Correct |
3 ms |
476 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
2 ms |
376 KB |
Output is correct |
14 |
Correct |
12 ms |
504 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
16 |
Correct |
2 ms |
376 KB |
Output is correct |
17 |
Correct |
2 ms |
376 KB |
Output is correct |
18 |
Correct |
2 ms |
376 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
2 ms |
376 KB |
Output is correct |
23 |
Correct |
2 ms |
376 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
2 ms |
376 KB |
Output is correct |
26 |
Correct |
2 ms |
376 KB |
Output is correct |
27 |
Correct |
2 ms |
372 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
2 ms |
376 KB |
Output is correct |
30 |
Correct |
2 ms |
376 KB |
Output is correct |
31 |
Correct |
3 ms |
504 KB |
Output is correct |
32 |
Correct |
3 ms |
504 KB |
Output is correct |
33 |
Correct |
3 ms |
504 KB |
Output is correct |
34 |
Correct |
3 ms |
504 KB |
Output is correct |
35 |
Correct |
3 ms |
504 KB |
Output is correct |
36 |
Correct |
3 ms |
504 KB |
Output is correct |
37 |
Correct |
3 ms |
504 KB |
Output is correct |
38 |
Correct |
3 ms |
504 KB |
Output is correct |
39 |
Correct |
3 ms |
504 KB |
Output is correct |
40 |
Correct |
3 ms |
504 KB |
Output is correct |
41 |
Correct |
3 ms |
504 KB |
Output is correct |
42 |
Correct |
3 ms |
504 KB |
Output is correct |
43 |
Correct |
3 ms |
504 KB |
Output is correct |
44 |
Correct |
3 ms |
424 KB |
Output is correct |
45 |
Correct |
3 ms |
476 KB |
Output is correct |
46 |
Correct |
18 ms |
3576 KB |
Output is correct |
47 |
Correct |
26 ms |
5264 KB |
Output is correct |
48 |
Correct |
32 ms |
5880 KB |
Output is correct |
49 |
Correct |
31 ms |
5880 KB |
Output is correct |
50 |
Correct |
34 ms |
6008 KB |
Output is correct |
51 |
Correct |
33 ms |
6008 KB |
Output is correct |
52 |
Correct |
17 ms |
3192 KB |
Output is correct |
53 |
Correct |
11 ms |
2040 KB |
Output is correct |
54 |
Correct |
25 ms |
5240 KB |
Output is correct |
55 |
Correct |
35 ms |
6100 KB |
Output is correct |
56 |
Correct |
29 ms |
5496 KB |
Output is correct |
57 |
Correct |
24 ms |
4856 KB |
Output is correct |
58 |
Correct |
25 ms |
5240 KB |
Output is correct |
59 |
Correct |
28 ms |
5656 KB |
Output is correct |
60 |
Correct |
29 ms |
5624 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
2 ms |
376 KB |
Output is correct |
14 |
Correct |
12 ms |
504 KB |
Output is correct |
15 |
Correct |
2 ms |
376 KB |
Output is correct |
16 |
Correct |
2 ms |
376 KB |
Output is correct |
17 |
Correct |
2 ms |
376 KB |
Output is correct |
18 |
Correct |
2 ms |
376 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
2 ms |
376 KB |
Output is correct |
23 |
Correct |
2 ms |
376 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
2 ms |
376 KB |
Output is correct |
26 |
Correct |
2 ms |
376 KB |
Output is correct |
27 |
Correct |
2 ms |
372 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
2 ms |
376 KB |
Output is correct |
30 |
Correct |
2 ms |
376 KB |
Output is correct |
31 |
Correct |
3 ms |
504 KB |
Output is correct |
32 |
Correct |
3 ms |
504 KB |
Output is correct |
33 |
Correct |
3 ms |
504 KB |
Output is correct |
34 |
Correct |
3 ms |
504 KB |
Output is correct |
35 |
Correct |
3 ms |
504 KB |
Output is correct |
36 |
Correct |
3 ms |
504 KB |
Output is correct |
37 |
Correct |
3 ms |
504 KB |
Output is correct |
38 |
Correct |
3 ms |
504 KB |
Output is correct |
39 |
Correct |
3 ms |
504 KB |
Output is correct |
40 |
Correct |
3 ms |
504 KB |
Output is correct |
41 |
Correct |
3 ms |
504 KB |
Output is correct |
42 |
Correct |
3 ms |
504 KB |
Output is correct |
43 |
Correct |
3 ms |
504 KB |
Output is correct |
44 |
Correct |
3 ms |
424 KB |
Output is correct |
45 |
Correct |
3 ms |
476 KB |
Output is correct |
46 |
Correct |
18 ms |
3576 KB |
Output is correct |
47 |
Correct |
26 ms |
5264 KB |
Output is correct |
48 |
Correct |
32 ms |
5880 KB |
Output is correct |
49 |
Correct |
31 ms |
5880 KB |
Output is correct |
50 |
Correct |
34 ms |
6008 KB |
Output is correct |
51 |
Correct |
33 ms |
6008 KB |
Output is correct |
52 |
Correct |
17 ms |
3192 KB |
Output is correct |
53 |
Correct |
11 ms |
2040 KB |
Output is correct |
54 |
Correct |
25 ms |
5240 KB |
Output is correct |
55 |
Correct |
35 ms |
6100 KB |
Output is correct |
56 |
Correct |
29 ms |
5496 KB |
Output is correct |
57 |
Correct |
24 ms |
4856 KB |
Output is correct |
58 |
Correct |
25 ms |
5240 KB |
Output is correct |
59 |
Correct |
28 ms |
5656 KB |
Output is correct |
60 |
Correct |
29 ms |
5624 KB |
Output is correct |
61 |
Correct |
91 ms |
18040 KB |
Output is correct |
62 |
Correct |
106 ms |
21876 KB |
Output is correct |
63 |
Correct |
134 ms |
24152 KB |
Output is correct |
64 |
Correct |
173 ms |
28484 KB |
Output is correct |
65 |
Correct |
162 ms |
28852 KB |
Output is correct |
66 |
Correct |
170 ms |
28780 KB |
Output is correct |
67 |
Correct |
135 ms |
23096 KB |
Output is correct |
68 |
Correct |
66 ms |
11728 KB |
Output is correct |
69 |
Correct |
132 ms |
24796 KB |
Output is correct |
70 |
Correct |
164 ms |
28664 KB |
Output is correct |
71 |
Correct |
128 ms |
25840 KB |
Output is correct |
72 |
Correct |
122 ms |
22988 KB |
Output is correct |
73 |
Correct |
140 ms |
25628 KB |
Output is correct |
74 |
Correct |
141 ms |
27128 KB |
Output is correct |
75 |
Correct |
141 ms |
27256 KB |
Output is correct |