#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define pb push_back
int main() {
int n, k;
cin >> n >> k;
vector<ll> a(n);
for (int i = 0; i < n; i++) cin >> a[i];
// subtask 1 a_i > 0
if (*min_element(a.begin(), a.end()) >= 0) {
cout << accumulate(a.begin(), a.end(), 0LL) << endl;
return 0;
}
// subtask 2 at most one a_i < 0
if (count_if(a.begin(), a.end(), [](ll x) { return x < 0; }) <= 1) {
int pos =
find_if(a.begin(), a.end(), [](ll x) { return x < 0; }) - a.begin();
ll mx = 0;
mx = max(mx, accumulate(a.begin(), a.begin() + pos, 0LL));
mx = max(mx, accumulate(a.begin() + pos + 1, a.end(), 0LL));
mx = max(mx, accumulate(a.begin(), a.end(), 0LL));
if (k >= 2) mx = max(mx, accumulate(a.begin(), a.end(), 0LL) - a[pos]);
cout << mx << endl;
return 0;
}
// subtask 3 K = 1, maximum subarray
if (k == 1) {
ll mx = 0, cur = 0;
for (int i = 0; i < n; i++) {
cur += a[i];
mx = max(mx, cur);
cur = max(cur, 0LL);
}
cout << mx << endl;
return 0;
}
// dp[n][k][2] // dp[cur_index][how_many_left_excluding_cur][is_in_subarray]
vector<vector<vector<ll>>> dp(n + 1,
vector<vector<ll>>(k + 1, vector<ll>(2)));
dp[0][k - 1][1] = a[0];
for (int i = 1; i < n; i++) {
// dp[i][k][0] = 0
for (int j = 0; j < k; j++) {
dp[i][j][0] = max(dp[i - 1][j][0], dp[i - 1][j][1]);
dp[i][j][1] = max(dp[i - 1][j + 1][0], dp[i - 1][j][1]) + a[i];
}
}
ll mx = 0;
for (int i = 0; i <= k; i++) {
mx = max(mx, max(dp[n - 1][i][0], dp[n - 1][i][1]));
}
cout << mx << endl;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
79 ms |
2560 KB |
Output is correct |
| 2 |
Correct |
80 ms |
2516 KB |
Output is correct |
| 3 |
Correct |
86 ms |
2644 KB |
Output is correct |
| 4 |
Correct |
80 ms |
2516 KB |
Output is correct |
| 5 |
Correct |
79 ms |
2516 KB |
Output is correct |
| 6 |
Correct |
79 ms |
2568 KB |
Output is correct |
| 7 |
Correct |
83 ms |
2640 KB |
Output is correct |
| 8 |
Correct |
79 ms |
2608 KB |
Output is correct |
| 9 |
Correct |
78 ms |
2516 KB |
Output is correct |
| 10 |
Correct |
102 ms |
2592 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
42 ms |
2516 KB |
Output is correct |
| 2 |
Correct |
43 ms |
2644 KB |
Output is correct |
| 3 |
Correct |
43 ms |
2516 KB |
Output is correct |
| 4 |
Correct |
43 ms |
2516 KB |
Output is correct |
| 5 |
Correct |
79 ms |
2568 KB |
Output is correct |
| 6 |
Correct |
43 ms |
2516 KB |
Output is correct |
| 7 |
Correct |
43 ms |
2644 KB |
Output is correct |
| 8 |
Correct |
79 ms |
2624 KB |
Output is correct |
| 9 |
Correct |
77 ms |
2568 KB |
Output is correct |
| 10 |
Correct |
44 ms |
2516 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
86 ms |
2616 KB |
Output is correct |
| 2 |
Correct |
86 ms |
2580 KB |
Output is correct |
| 3 |
Correct |
85 ms |
2600 KB |
Output is correct |
| 4 |
Correct |
84 ms |
2516 KB |
Output is correct |
| 5 |
Correct |
85 ms |
2608 KB |
Output is correct |
| 6 |
Correct |
94 ms |
2612 KB |
Output is correct |
| 7 |
Correct |
87 ms |
2644 KB |
Output is correct |
| 8 |
Correct |
86 ms |
2604 KB |
Output is correct |
| 9 |
Correct |
91 ms |
2644 KB |
Output is correct |
| 10 |
Correct |
87 ms |
2516 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
468 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 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 |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
468 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 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 |
852 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 13 |
Correct |
1 ms |
596 KB |
Output is correct |
| 14 |
Correct |
1 ms |
980 KB |
Output is correct |
| 15 |
Correct |
1 ms |
724 KB |
Output is correct |
| 16 |
Correct |
1 ms |
596 KB |
Output is correct |
| 17 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
468 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 ms |
212 KB |
Output is correct |
| 5 |
Correct |
0 ms |
340 KB |
Output is correct |
| 6 |
Correct |
0 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
0 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 |
852 KB |
Output is correct |
| 12 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 13 |
Correct |
1 ms |
596 KB |
Output is correct |
| 14 |
Correct |
1 ms |
980 KB |
Output is correct |
| 15 |
Correct |
1 ms |
724 KB |
Output is correct |
| 16 |
Correct |
1 ms |
596 KB |
Output is correct |
| 17 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
340 KB |
Output is correct |
| 21 |
Correct |
19 ms |
21676 KB |
Output is correct |
| 22 |
Correct |
160 ms |
179372 KB |
Output is correct |
| 23 |
Correct |
40 ms |
41556 KB |
Output is correct |
| 24 |
Correct |
22 ms |
23380 KB |
Output is correct |
| 25 |
Correct |
30 ms |
32468 KB |
Output is correct |
| 26 |
Correct |
18 ms |
19412 KB |
Output is correct |
| 27 |
Correct |
28 ms |
30592 KB |
Output is correct |
| 28 |
Correct |
4 ms |
3924 KB |
Output is correct |
| 29 |
Correct |
4 ms |
3540 KB |
Output is correct |
| 30 |
Correct |
1 ms |
724 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
79 ms |
2560 KB |
Output is correct |
| 2 |
Correct |
80 ms |
2516 KB |
Output is correct |
| 3 |
Correct |
86 ms |
2644 KB |
Output is correct |
| 4 |
Correct |
80 ms |
2516 KB |
Output is correct |
| 5 |
Correct |
79 ms |
2516 KB |
Output is correct |
| 6 |
Correct |
79 ms |
2568 KB |
Output is correct |
| 7 |
Correct |
83 ms |
2640 KB |
Output is correct |
| 8 |
Correct |
79 ms |
2608 KB |
Output is correct |
| 9 |
Correct |
78 ms |
2516 KB |
Output is correct |
| 10 |
Correct |
102 ms |
2592 KB |
Output is correct |
| 11 |
Correct |
42 ms |
2516 KB |
Output is correct |
| 12 |
Correct |
43 ms |
2644 KB |
Output is correct |
| 13 |
Correct |
43 ms |
2516 KB |
Output is correct |
| 14 |
Correct |
43 ms |
2516 KB |
Output is correct |
| 15 |
Correct |
79 ms |
2568 KB |
Output is correct |
| 16 |
Correct |
43 ms |
2516 KB |
Output is correct |
| 17 |
Correct |
43 ms |
2644 KB |
Output is correct |
| 18 |
Correct |
79 ms |
2624 KB |
Output is correct |
| 19 |
Correct |
77 ms |
2568 KB |
Output is correct |
| 20 |
Correct |
44 ms |
2516 KB |
Output is correct |
| 21 |
Correct |
86 ms |
2616 KB |
Output is correct |
| 22 |
Correct |
86 ms |
2580 KB |
Output is correct |
| 23 |
Correct |
85 ms |
2600 KB |
Output is correct |
| 24 |
Correct |
84 ms |
2516 KB |
Output is correct |
| 25 |
Correct |
85 ms |
2608 KB |
Output is correct |
| 26 |
Correct |
94 ms |
2612 KB |
Output is correct |
| 27 |
Correct |
87 ms |
2644 KB |
Output is correct |
| 28 |
Correct |
86 ms |
2604 KB |
Output is correct |
| 29 |
Correct |
91 ms |
2644 KB |
Output is correct |
| 30 |
Correct |
87 ms |
2516 KB |
Output is correct |
| 31 |
Correct |
0 ms |
212 KB |
Output is correct |
| 32 |
Correct |
1 ms |
468 KB |
Output is correct |
| 33 |
Correct |
1 ms |
212 KB |
Output is correct |
| 34 |
Correct |
0 ms |
212 KB |
Output is correct |
| 35 |
Correct |
0 ms |
340 KB |
Output is correct |
| 36 |
Correct |
0 ms |
340 KB |
Output is correct |
| 37 |
Correct |
1 ms |
340 KB |
Output is correct |
| 38 |
Correct |
0 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 |
852 KB |
Output is correct |
| 42 |
Correct |
1 ms |
1236 KB |
Output is correct |
| 43 |
Correct |
1 ms |
596 KB |
Output is correct |
| 44 |
Correct |
1 ms |
980 KB |
Output is correct |
| 45 |
Correct |
1 ms |
724 KB |
Output is correct |
| 46 |
Correct |
1 ms |
596 KB |
Output is correct |
| 47 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 48 |
Correct |
1 ms |
340 KB |
Output is correct |
| 49 |
Correct |
1 ms |
468 KB |
Output is correct |
| 50 |
Correct |
1 ms |
340 KB |
Output is correct |
| 51 |
Correct |
19 ms |
21676 KB |
Output is correct |
| 52 |
Correct |
160 ms |
179372 KB |
Output is correct |
| 53 |
Correct |
40 ms |
41556 KB |
Output is correct |
| 54 |
Correct |
22 ms |
23380 KB |
Output is correct |
| 55 |
Correct |
30 ms |
32468 KB |
Output is correct |
| 56 |
Correct |
18 ms |
19412 KB |
Output is correct |
| 57 |
Correct |
28 ms |
30592 KB |
Output is correct |
| 58 |
Correct |
4 ms |
3924 KB |
Output is correct |
| 59 |
Correct |
4 ms |
3540 KB |
Output is correct |
| 60 |
Correct |
1 ms |
724 KB |
Output is correct |
| 61 |
Runtime error |
255 ms |
262144 KB |
Execution killed with signal 9 |
| 62 |
Halted |
0 ms |
0 KB |
- |
