#include <bits/stdc++.h>
#define ll long long
#define pb push_back
#define mp make_pair
using namespace std;
const int maxn = 100100;
const int maxk = 110;
ll n, k;
ll dp[maxn][maxk];
ll arr[maxn];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin>>n>>k;
ll prefmax = 0LL;
for(int i=0;i<=n;i++) {
for(int j=0;j<=k;j++) {
dp[i][j] = (INT_MAX);
}
}
for(int i=1;i<=n;i++) {
cin>>arr[i];
prefmax = max(prefmax, arr[i]);
dp[i][1] = prefmax;
}
for(int d=2;d<=k;d++) {
stack<ll>dps, arrs;
for(int i=1;i<=n;i++) {
ll curr = dp[i-1][d-1];
while(!arrs.empty() && arrs.top() < arr[i]) {
curr = min(curr, dps.top());
arrs.pop();
dps.pop();
}
if(arrs.empty() || arrs.top() + dps.top() >= curr + arr[i]) {
arrs.push(arr[i]);
dps.push(curr);
}
if(i >= d) dp[i][d] = arrs.top() + dps.top();
}
}
cout<<dp[n][k]<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
4 ms |
384 KB |
Output is correct |
6 |
Correct |
4 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
4 ms |
384 KB |
Output is correct |
10 |
Correct |
4 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
4 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
4 ms |
384 KB |
Output is correct |
15 |
Correct |
4 ms |
384 KB |
Output is correct |
16 |
Correct |
5 ms |
384 KB |
Output is correct |
17 |
Correct |
4 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
384 KB |
Output is correct |
19 |
Correct |
5 ms |
384 KB |
Output is correct |
20 |
Correct |
5 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
4 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
5 ms |
384 KB |
Output is correct |
15 |
Correct |
5 ms |
512 KB |
Output is correct |
16 |
Correct |
6 ms |
384 KB |
Output is correct |
17 |
Correct |
5 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
512 KB |
Output is correct |
19 |
Correct |
7 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
9088 KB |
Output is correct |
2 |
Correct |
35 ms |
39296 KB |
Output is correct |
3 |
Correct |
31 ms |
39296 KB |
Output is correct |
4 |
Correct |
90 ms |
39288 KB |
Output is correct |
5 |
Correct |
291 ms |
87928 KB |
Output is correct |
6 |
Correct |
64 ms |
87928 KB |
Output is correct |
7 |
Correct |
155 ms |
87928 KB |
Output is correct |
8 |
Correct |
5 ms |
384 KB |
Output is correct |
9 |
Correct |
5 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
512 KB |
Output is correct |
12 |
Correct |
5 ms |
1280 KB |
Output is correct |
13 |
Correct |
5 ms |
1280 KB |
Output is correct |
14 |
Correct |
23 ms |
9088 KB |
Output is correct |
15 |
Correct |
10 ms |
9088 KB |
Output is correct |
16 |
Correct |
17 ms |
9088 KB |
Output is correct |
17 |
Correct |
33 ms |
39304 KB |
Output is correct |
18 |
Correct |
33 ms |
39296 KB |
Output is correct |
19 |
Correct |
108 ms |
39288 KB |
Output is correct |
20 |
Correct |
317 ms |
87928 KB |
Output is correct |
21 |
Correct |
71 ms |
87928 KB |
Output is correct |
22 |
Correct |
167 ms |
87928 KB |
Output is correct |
23 |
Correct |
57 ms |
87928 KB |
Output is correct |
24 |
Correct |
80 ms |
87928 KB |
Output is correct |
25 |
Correct |
330 ms |
88056 KB |
Output is correct |
26 |
Correct |
5 ms |
1280 KB |
Output is correct |
27 |
Correct |
5 ms |
1280 KB |
Output is correct |
28 |
Correct |
27 ms |
9216 KB |
Output is correct |
29 |
Correct |
10 ms |
9216 KB |
Output is correct |
30 |
Correct |
15 ms |
9216 KB |
Output is correct |
31 |
Correct |
26 ms |
39296 KB |
Output is correct |
32 |
Correct |
33 ms |
39608 KB |
Output is correct |
33 |
Correct |
116 ms |
39644 KB |
Output is correct |
34 |
Correct |
397 ms |
88696 KB |
Output is correct |
35 |
Correct |
63 ms |
88696 KB |
Output is correct |
36 |
Correct |
204 ms |
88700 KB |
Output is correct |
37 |
Correct |
10 ms |
9088 KB |
Output is correct |
38 |
Correct |
20 ms |
9088 KB |
Output is correct |
39 |
Correct |
5 ms |
1280 KB |
Output is correct |
40 |
Correct |
5 ms |
1152 KB |
Output is correct |
41 |
Correct |
5 ms |
384 KB |
Output is correct |
42 |
Correct |
5 ms |
384 KB |
Output is correct |