#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int ll
constexpr int nax = 105;
constexpr int INF = 1e12 + 5;
int dp[nax][nax];
int mx[nax][nax];
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n, k;
cin >> n >> k;
assert(n < nax);
vector<int> a(n);
for(int& i : a) {
cin >> i;
}
if (n == k) {
cout << accumulate(a.begin(), a.end(), 0LL);
exit(0);
}
for(int i = 0; i < n; i++) {
for(int j = 0; j < n; j++) {
mx[i][j] = INF;
dp[i][j] = INF;
}
}
for(int i = 0; i < n; i++) {
priority_queue<int> curr;
for(int j = i; j < n; j++) {
curr.push(a[j]);
mx[i][j] = curr.top();
}
}
for(int i = 0; i < n; i++) {
dp[i][0] = 0;
dp[i][1] = mx[0][i];
}
// for(int i = 0; i < n; i++) {
// for(int j = 0; j < n; j++) {
// cout << i << " " << j << ": " << mx[i][j] << "\n";
// } cout << "\n";
// }
for(int splits = 2; splits <= k; splits++) {
for(int i = splits-1; i < n; i++) {
for(int j = 0; j < i; j++) {
if (dp[j][splits-1] == INF) continue;
dp[i][splits] = min(dp[i][splits], dp[j][splits-1] + mx[j+1][i]);
// cout << i << " " << splits << " " << j << ": " << dp[j][splits-1] << " " << mx[j+1][i] << "\n";
}
// cout << i << " " << splits << ": " << dp[i][splits] << "\n";
}
}
cout << dp[n-1][k] << "\n";
return 0;
}
/*
6 6
6 9 3 8 2 5
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
324 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
452 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
324 KB |
Output is correct |
18 |
Correct |
1 ms |
320 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
324 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
452 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
0 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
0 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
0 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
324 KB |
Output is correct |
36 |
Correct |
1 ms |
320 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 |
460 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
316 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
204 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
320 KB |
Output is correct |
50 |
Correct |
0 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
460 KB |
Output is correct |
52 |
Correct |
1 ms |
460 KB |
Output is correct |
53 |
Correct |
0 ms |
204 KB |
Output is correct |
54 |
Correct |
1 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
460 KB |
Output is correct |
56 |
Correct |
0 ms |
204 KB |
Output is correct |
57 |
Correct |
0 ms |
324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
324 KB |
Output is correct |
6 |
Correct |
1 ms |
316 KB |
Output is correct |
7 |
Correct |
1 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
1 ms |
316 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
452 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
460 KB |
Output is correct |
17 |
Correct |
0 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
0 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
0 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
0 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
324 KB |
Output is correct |
36 |
Correct |
1 ms |
320 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 |
460 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
316 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
204 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
320 KB |
Output is correct |
50 |
Correct |
0 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
460 KB |
Output is correct |
52 |
Correct |
1 ms |
460 KB |
Output is correct |
53 |
Correct |
0 ms |
204 KB |
Output is correct |
54 |
Correct |
1 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
460 KB |
Output is correct |
56 |
Correct |
0 ms |
204 KB |
Output is correct |
57 |
Correct |
0 ms |
324 KB |
Output is correct |
58 |
Runtime error |
1 ms |
460 KB |
Execution killed with signal 6 |
59 |
Halted |
0 ms |
0 KB |
- |