#include <bits/stdc++.h>
#define st first
#define nd second
using lint = int64_t;
constexpr int mod = int(1e9) + 7;
constexpr int inf = 0x3f3f3f3f;
constexpr int ninf = 0xcfcfcfcf;
constexpr lint linf = 0x3f3f3f3f3f3f3f3f;
const long double pi = acosl(-1.0);
// Returns -1 if a < b, 0 if a = b and 1 if a > b.
int cmp_double(double a, double b = 0, double eps = 1e-9) {
return a + eps > b ? b + eps > a ? 0 : 1 : -1;
}
using namespace std;
using dbl = long double;
const lint INF = 3.1e14;
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n, k;
cin>>n>>k;
vector<lint>a(n);
for(int i=0;i<n;i++) cin>>a[i];
dbl lo = 0, hi = INF;
for(int z=0;z<150;z++){
dbl mid = (lo + hi) / 2;
vector<array<pair<dbl, lint>, 2>>dp(n+1);
dp[0][0] = {0, 0}, dp[0][1] = {-INF, 0};
for(int i=0;i<n;i++){
dp[i+1][1] = max(make_pair(dp[i][1].st + a[i], dp[i][1].nd),
make_pair(dp[i][0].st + a[i] - mid, dp[i][0].nd + 1));
dp[i+1][0] = max(dp[i][0], dp[i][1]);
}
if(max(dp[n][0], dp[n][1]).nd >= k) lo = mid;
else hi = mid;
}
dbl mid = hi;
vector<array<dbl, 2>>dp(n+1);
dp[0][0] = 0, dp[0][1] = -INF;
for(int i=0;i<n;i++){
dp[i+1][1] = max(dp[i][1] + a[i], dp[i][0] + a[i] - mid);
dp[i+1][0] = max(dp[i][0], dp[i][1]);
}
cout<< lint(round(max(dp[n][0], dp[n][1]) + mid * k))<<"\n";
return 0;
}
/*
[ ]Leu o problema certo???
[ ]Ver se precisa de long long
[ ]Viu o limite dos fors (é n? é m?)
[ ]Tamanho do vetor, será que é 2e5 em vez de 1e5??
[ ]Testar sample
[ ]Testar casos de borda
[ ]1LL no 1LL << i
[ ]Testar mod (é 1e9+7, mesmo?, será que o mod não ficou negativo?)
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
787 ms |
20912 KB |
Output is correct |
2 |
Correct |
867 ms |
21304 KB |
Output is correct |
3 |
Correct |
872 ms |
21568 KB |
Output is correct |
4 |
Correct |
809 ms |
21344 KB |
Output is correct |
5 |
Correct |
815 ms |
21260 KB |
Output is correct |
6 |
Correct |
817 ms |
20892 KB |
Output is correct |
7 |
Correct |
783 ms |
20932 KB |
Output is correct |
8 |
Correct |
886 ms |
21256 KB |
Output is correct |
9 |
Correct |
799 ms |
20964 KB |
Output is correct |
10 |
Correct |
798 ms |
21212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
763 ms |
21076 KB |
Output is correct |
2 |
Correct |
798 ms |
21580 KB |
Output is correct |
3 |
Correct |
781 ms |
20944 KB |
Output is correct |
4 |
Correct |
777 ms |
21196 KB |
Output is correct |
5 |
Correct |
821 ms |
20876 KB |
Output is correct |
6 |
Correct |
772 ms |
20996 KB |
Output is correct |
7 |
Correct |
790 ms |
21520 KB |
Output is correct |
8 |
Correct |
797 ms |
21388 KB |
Output is correct |
9 |
Correct |
788 ms |
20844 KB |
Output is correct |
10 |
Correct |
777 ms |
21396 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
927 ms |
21364 KB |
Output is correct |
2 |
Correct |
895 ms |
21072 KB |
Output is correct |
3 |
Correct |
923 ms |
21280 KB |
Output is correct |
4 |
Correct |
929 ms |
21088 KB |
Output is correct |
5 |
Correct |
907 ms |
21268 KB |
Output is correct |
6 |
Correct |
881 ms |
21424 KB |
Output is correct |
7 |
Correct |
935 ms |
21500 KB |
Output is correct |
8 |
Correct |
985 ms |
21248 KB |
Output is correct |
9 |
Correct |
933 ms |
21556 KB |
Output is correct |
10 |
Correct |
904 ms |
21384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
340 KB |
Output is correct |
21 |
Correct |
7 ms |
468 KB |
Output is correct |
22 |
Correct |
6 ms |
468 KB |
Output is correct |
23 |
Correct |
6 ms |
468 KB |
Output is correct |
24 |
Correct |
6 ms |
468 KB |
Output is correct |
25 |
Correct |
7 ms |
460 KB |
Output is correct |
26 |
Correct |
6 ms |
460 KB |
Output is correct |
27 |
Correct |
6 ms |
468 KB |
Output is correct |
28 |
Correct |
5 ms |
356 KB |
Output is correct |
29 |
Correct |
6 ms |
468 KB |
Output is correct |
30 |
Correct |
6 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
787 ms |
20912 KB |
Output is correct |
2 |
Correct |
867 ms |
21304 KB |
Output is correct |
3 |
Correct |
872 ms |
21568 KB |
Output is correct |
4 |
Correct |
809 ms |
21344 KB |
Output is correct |
5 |
Correct |
815 ms |
21260 KB |
Output is correct |
6 |
Correct |
817 ms |
20892 KB |
Output is correct |
7 |
Correct |
783 ms |
20932 KB |
Output is correct |
8 |
Correct |
886 ms |
21256 KB |
Output is correct |
9 |
Correct |
799 ms |
20964 KB |
Output is correct |
10 |
Correct |
798 ms |
21212 KB |
Output is correct |
11 |
Correct |
763 ms |
21076 KB |
Output is correct |
12 |
Correct |
798 ms |
21580 KB |
Output is correct |
13 |
Correct |
781 ms |
20944 KB |
Output is correct |
14 |
Correct |
777 ms |
21196 KB |
Output is correct |
15 |
Correct |
821 ms |
20876 KB |
Output is correct |
16 |
Correct |
772 ms |
20996 KB |
Output is correct |
17 |
Correct |
790 ms |
21520 KB |
Output is correct |
18 |
Correct |
797 ms |
21388 KB |
Output is correct |
19 |
Correct |
788 ms |
20844 KB |
Output is correct |
20 |
Correct |
777 ms |
21396 KB |
Output is correct |
21 |
Correct |
927 ms |
21364 KB |
Output is correct |
22 |
Correct |
895 ms |
21072 KB |
Output is correct |
23 |
Correct |
923 ms |
21280 KB |
Output is correct |
24 |
Correct |
929 ms |
21088 KB |
Output is correct |
25 |
Correct |
907 ms |
21268 KB |
Output is correct |
26 |
Correct |
881 ms |
21424 KB |
Output is correct |
27 |
Correct |
935 ms |
21500 KB |
Output is correct |
28 |
Correct |
985 ms |
21248 KB |
Output is correct |
29 |
Correct |
933 ms |
21556 KB |
Output is correct |
30 |
Correct |
904 ms |
21384 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
316 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
2 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
2 ms |
340 KB |
Output is correct |
49 |
Correct |
2 ms |
340 KB |
Output is correct |
50 |
Correct |
2 ms |
340 KB |
Output is correct |
51 |
Correct |
7 ms |
468 KB |
Output is correct |
52 |
Correct |
6 ms |
468 KB |
Output is correct |
53 |
Correct |
6 ms |
468 KB |
Output is correct |
54 |
Correct |
6 ms |
468 KB |
Output is correct |
55 |
Correct |
7 ms |
460 KB |
Output is correct |
56 |
Correct |
6 ms |
460 KB |
Output is correct |
57 |
Correct |
6 ms |
468 KB |
Output is correct |
58 |
Correct |
5 ms |
356 KB |
Output is correct |
59 |
Correct |
6 ms |
468 KB |
Output is correct |
60 |
Correct |
6 ms |
468 KB |
Output is correct |
61 |
Execution timed out |
1085 ms |
20944 KB |
Time limit exceeded |
62 |
Halted |
0 ms |
0 KB |
- |