#include<bits/stdc++.h>
using namespace std;
const long long MXN=1e5+10;
const long long MXK=1e2+10;
const long long INF=1e18;
long long dp[MXK][MXN];
long long a[MXN];
int main()
{
cin.tie(0);
ios_base::sync_with_stdio(0);
long long n,k;
cin>>n>>k;
for(long long i=0;i<=k;i++)
{
for(long long j=0;j<=n;j++)
{
dp[i][j]=INF;
}
}
for(long long i=1;i<=n;i++)
{
cin>>a[i];
}
dp[1][1]=a[1];
for(int i=2;i<=n;i++)
{
dp[1][i]=max(dp[1][i-1],a[i]);
}
for(long long i=2;i<=k;i++)
{
stack < pair < long long , long long > > st;
for(long long j=1;j<=n;j++)
{
long long tmp=dp[i-1][j-1];
while(!st.empty() && a[st.top().first]<a[j])
{
tmp=min(tmp,st.top().second);
st.pop();
}
if(!st.empty() && i<=j)
{
dp[i][j]=dp[i][st.top().first];
}
st.push({j,min(dp[i-1][j],tmp)});
if(i<=j)
{
dp[i][j]=min(dp[i][j],tmp+a[j]);
}
}
}
cout<<dp[k][n]<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4696 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
2392 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
6492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4440 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
1 ms |
10588 KB |
Output is correct |
16 |
Correct |
2 ms |
14684 KB |
Output is correct |
17 |
Correct |
2 ms |
14684 KB |
Output is correct |
18 |
Correct |
1 ms |
10588 KB |
Output is correct |
19 |
Correct |
2 ms |
14684 KB |
Output is correct |
20 |
Correct |
2 ms |
16732 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4696 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
2392 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
6492 KB |
Output is correct |
19 |
Correct |
1 ms |
2392 KB |
Output is correct |
20 |
Correct |
0 ms |
2396 KB |
Output is correct |
21 |
Correct |
0 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4440 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
10588 KB |
Output is correct |
33 |
Correct |
1 ms |
10588 KB |
Output is correct |
34 |
Correct |
2 ms |
14684 KB |
Output is correct |
35 |
Correct |
2 ms |
14684 KB |
Output is correct |
36 |
Correct |
1 ms |
10588 KB |
Output is correct |
37 |
Correct |
2 ms |
14684 KB |
Output is correct |
38 |
Correct |
2 ms |
16732 KB |
Output is correct |
39 |
Correct |
7 ms |
41560 KB |
Output is correct |
40 |
Correct |
0 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2392 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
1 ms |
4444 KB |
Output is correct |
44 |
Correct |
1 ms |
4440 KB |
Output is correct |
45 |
Correct |
0 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
4444 KB |
Output is correct |
47 |
Correct |
1 ms |
4444 KB |
Output is correct |
48 |
Correct |
1 ms |
4444 KB |
Output is correct |
49 |
Correct |
1 ms |
4444 KB |
Output is correct |
50 |
Correct |
1 ms |
6516 KB |
Output is correct |
51 |
Correct |
2 ms |
20828 KB |
Output is correct |
52 |
Correct |
2 ms |
20828 KB |
Output is correct |
53 |
Correct |
17 ms |
80412 KB |
Output is correct |
54 |
Correct |
9 ms |
80476 KB |
Output is correct |
55 |
Correct |
5 ms |
43356 KB |
Output is correct |
56 |
Correct |
8 ms |
80476 KB |
Output is correct |
57 |
Correct |
10 ms |
80340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
0 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4696 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
2392 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
6492 KB |
Output is correct |
19 |
Correct |
1 ms |
2392 KB |
Output is correct |
20 |
Correct |
0 ms |
2396 KB |
Output is correct |
21 |
Correct |
0 ms |
2396 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
1 ms |
4444 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4444 KB |
Output is correct |
28 |
Correct |
1 ms |
4440 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
10588 KB |
Output is correct |
33 |
Correct |
1 ms |
10588 KB |
Output is correct |
34 |
Correct |
2 ms |
14684 KB |
Output is correct |
35 |
Correct |
2 ms |
14684 KB |
Output is correct |
36 |
Correct |
1 ms |
10588 KB |
Output is correct |
37 |
Correct |
2 ms |
14684 KB |
Output is correct |
38 |
Correct |
2 ms |
16732 KB |
Output is correct |
39 |
Correct |
7 ms |
41560 KB |
Output is correct |
40 |
Correct |
0 ms |
2396 KB |
Output is correct |
41 |
Correct |
1 ms |
2392 KB |
Output is correct |
42 |
Correct |
1 ms |
2396 KB |
Output is correct |
43 |
Correct |
1 ms |
4444 KB |
Output is correct |
44 |
Correct |
1 ms |
4440 KB |
Output is correct |
45 |
Correct |
0 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
4444 KB |
Output is correct |
47 |
Correct |
1 ms |
4444 KB |
Output is correct |
48 |
Correct |
1 ms |
4444 KB |
Output is correct |
49 |
Correct |
1 ms |
4444 KB |
Output is correct |
50 |
Correct |
1 ms |
6516 KB |
Output is correct |
51 |
Correct |
2 ms |
20828 KB |
Output is correct |
52 |
Correct |
2 ms |
20828 KB |
Output is correct |
53 |
Correct |
17 ms |
80412 KB |
Output is correct |
54 |
Correct |
9 ms |
80476 KB |
Output is correct |
55 |
Correct |
5 ms |
43356 KB |
Output is correct |
56 |
Correct |
8 ms |
80476 KB |
Output is correct |
57 |
Correct |
10 ms |
80340 KB |
Output is correct |
58 |
Correct |
5 ms |
20828 KB |
Output is correct |
59 |
Correct |
3 ms |
2692 KB |
Output is correct |
60 |
Correct |
6 ms |
8796 KB |
Output is correct |
61 |
Correct |
41 ms |
62044 KB |
Output is correct |
62 |
Correct |
115 ms |
80732 KB |
Output is correct |
63 |
Correct |
9 ms |
4740 KB |
Output is correct |
64 |
Correct |
52 ms |
37556 KB |
Output is correct |
65 |
Correct |
3 ms |
20828 KB |
Output is correct |
66 |
Correct |
4 ms |
41308 KB |
Output is correct |
67 |
Correct |
5 ms |
41448 KB |
Output is correct |
68 |
Correct |
4 ms |
41308 KB |
Output is correct |
69 |
Correct |
1 ms |
2396 KB |
Output is correct |
70 |
Correct |
2 ms |
10588 KB |
Output is correct |
71 |
Correct |
21 ms |
80476 KB |
Output is correct |
72 |
Correct |
1 ms |
4444 KB |
Output is correct |
73 |
Correct |
6 ms |
20828 KB |
Output is correct |
74 |
Correct |
3 ms |
2652 KB |
Output is correct |
75 |
Correct |
8 ms |
8856 KB |
Output is correct |
76 |
Correct |
56 ms |
62236 KB |
Output is correct |
77 |
Correct |
141 ms |
80656 KB |
Output is correct |
78 |
Correct |
9 ms |
4700 KB |
Output is correct |
79 |
Correct |
67 ms |
37480 KB |
Output is correct |
80 |
Correct |
7 ms |
4700 KB |
Output is correct |
81 |
Correct |
19 ms |
10904 KB |
Output is correct |
82 |
Correct |
146 ms |
80476 KB |
Output is correct |
83 |
Correct |
1 ms |
2396 KB |
Output is correct |
84 |
Correct |
2 ms |
10588 KB |
Output is correct |
85 |
Correct |
19 ms |
80644 KB |
Output is correct |
86 |
Correct |
2 ms |
4696 KB |
Output is correct |
87 |
Correct |
5 ms |
21084 KB |
Output is correct |
88 |
Correct |
3 ms |
2652 KB |
Output is correct |
89 |
Correct |
7 ms |
9156 KB |
Output is correct |
90 |
Correct |
48 ms |
62516 KB |
Output is correct |
91 |
Correct |
133 ms |
81460 KB |
Output is correct |
92 |
Correct |
9 ms |
5464 KB |
Output is correct |
93 |
Correct |
63 ms |
38288 KB |
Output is correct |
94 |
Correct |
1 ms |
4440 KB |
Output is correct |
95 |
Correct |
23 ms |
80484 KB |
Output is correct |
96 |
Correct |
2 ms |
10588 KB |
Output is correct |
97 |
Correct |
1 ms |
2396 KB |
Output is correct |
98 |
Correct |
1 ms |
6492 KB |
Output is correct |
99 |
Correct |
1 ms |
4440 KB |
Output is correct |