#include <bits/stdc++.h>
using namespace std;
#define ll long long
const ll INF = (ll)300000 * 1000000000;
int main(){
int n, k;
cin >> n >> k;
int a[n + 1];
for (int i = 1; i <= n; i++) cin >> a[i];
auto solveLambda = [&](ll lmb){
pair<ll, ll> dp[n + 1][2];
dp[0][0] = {0, 0};
dp[0][1] = {-INF, 0};
for (int i = 1; i <= n; i++){
dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
dp[i][1] = max(
make_pair(dp[i - 1][0].first + a[i] - lmb, dp[i - 1][0].second + 1),
make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second)
);
}
return max(dp[n][0], dp[n][1]);
};
ll lo = 0, hi = INF;
while (lo < hi){
ll mid = (lo + hi) / 2;
solveLambda(mid).second <= k ? hi = mid : lo = mid + 1;
}
cout << solveLambda(lo).first + lo * k << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
145 ms |
12368 KB |
Output is correct |
2 |
Correct |
140 ms |
12416 KB |
Output is correct |
3 |
Correct |
137 ms |
12752 KB |
Output is correct |
4 |
Correct |
138 ms |
12624 KB |
Output is correct |
5 |
Correct |
135 ms |
12612 KB |
Output is correct |
6 |
Correct |
134 ms |
12440 KB |
Output is correct |
7 |
Correct |
153 ms |
12288 KB |
Output is correct |
8 |
Correct |
136 ms |
12628 KB |
Output is correct |
9 |
Correct |
133 ms |
12420 KB |
Output is correct |
10 |
Correct |
138 ms |
12572 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
95 ms |
11344 KB |
Output is correct |
2 |
Correct |
106 ms |
11832 KB |
Output is correct |
3 |
Correct |
95 ms |
11368 KB |
Output is correct |
4 |
Correct |
102 ms |
11600 KB |
Output is correct |
5 |
Correct |
133 ms |
12400 KB |
Output is correct |
6 |
Correct |
95 ms |
11540 KB |
Output is correct |
7 |
Correct |
102 ms |
11856 KB |
Output is correct |
8 |
Correct |
143 ms |
12684 KB |
Output is correct |
9 |
Correct |
138 ms |
12292 KB |
Output is correct |
10 |
Correct |
98 ms |
11604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
160 ms |
12572 KB |
Output is correct |
2 |
Correct |
153 ms |
12372 KB |
Output is correct |
3 |
Correct |
156 ms |
12372 KB |
Output is correct |
4 |
Correct |
152 ms |
12372 KB |
Output is correct |
5 |
Correct |
165 ms |
12564 KB |
Output is correct |
6 |
Correct |
171 ms |
12572 KB |
Output is correct |
7 |
Correct |
158 ms |
12612 KB |
Output is correct |
8 |
Correct |
155 ms |
12596 KB |
Output is correct |
9 |
Correct |
160 ms |
12628 KB |
Output is correct |
10 |
Correct |
158 ms |
12632 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
440 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
440 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
344 KB |
Output is correct |
16 |
Correct |
0 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
440 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
344 KB |
Output is correct |
16 |
Correct |
0 ms |
600 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
520 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
448 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
145 ms |
12368 KB |
Output is correct |
2 |
Correct |
140 ms |
12416 KB |
Output is correct |
3 |
Correct |
137 ms |
12752 KB |
Output is correct |
4 |
Correct |
138 ms |
12624 KB |
Output is correct |
5 |
Correct |
135 ms |
12612 KB |
Output is correct |
6 |
Correct |
134 ms |
12440 KB |
Output is correct |
7 |
Correct |
153 ms |
12288 KB |
Output is correct |
8 |
Correct |
136 ms |
12628 KB |
Output is correct |
9 |
Correct |
133 ms |
12420 KB |
Output is correct |
10 |
Correct |
138 ms |
12572 KB |
Output is correct |
11 |
Correct |
95 ms |
11344 KB |
Output is correct |
12 |
Correct |
106 ms |
11832 KB |
Output is correct |
13 |
Correct |
95 ms |
11368 KB |
Output is correct |
14 |
Correct |
102 ms |
11600 KB |
Output is correct |
15 |
Correct |
133 ms |
12400 KB |
Output is correct |
16 |
Correct |
95 ms |
11540 KB |
Output is correct |
17 |
Correct |
102 ms |
11856 KB |
Output is correct |
18 |
Correct |
143 ms |
12684 KB |
Output is correct |
19 |
Correct |
138 ms |
12292 KB |
Output is correct |
20 |
Correct |
98 ms |
11604 KB |
Output is correct |
21 |
Correct |
160 ms |
12572 KB |
Output is correct |
22 |
Correct |
153 ms |
12372 KB |
Output is correct |
23 |
Correct |
156 ms |
12372 KB |
Output is correct |
24 |
Correct |
152 ms |
12372 KB |
Output is correct |
25 |
Correct |
165 ms |
12564 KB |
Output is correct |
26 |
Correct |
171 ms |
12572 KB |
Output is correct |
27 |
Correct |
158 ms |
12612 KB |
Output is correct |
28 |
Correct |
155 ms |
12596 KB |
Output is correct |
29 |
Correct |
160 ms |
12628 KB |
Output is correct |
30 |
Correct |
158 ms |
12632 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
440 KB |
Output is correct |
37 |
Correct |
0 ms |
344 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
344 KB |
Output is correct |
42 |
Correct |
0 ms |
344 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
344 KB |
Output is correct |
46 |
Correct |
0 ms |
600 KB |
Output is correct |
47 |
Correct |
1 ms |
348 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
0 ms |
348 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
348 KB |
Output is correct |
53 |
Correct |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
520 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
1 ms |
348 KB |
Output is correct |
59 |
Correct |
1 ms |
448 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
194 ms |
12320 KB |
Output is correct |
62 |
Correct |
216 ms |
12624 KB |
Output is correct |
63 |
Correct |
181 ms |
12248 KB |
Output is correct |
64 |
Correct |
195 ms |
12536 KB |
Output is correct |
65 |
Correct |
196 ms |
12624 KB |
Output is correct |
66 |
Correct |
191 ms |
12444 KB |
Output is correct |
67 |
Correct |
191 ms |
12396 KB |
Output is correct |
68 |
Correct |
155 ms |
12576 KB |
Output is correct |
69 |
Correct |
154 ms |
12512 KB |
Output is correct |
70 |
Correct |
162 ms |
12272 KB |
Output is correct |