# include <bits/stdc++.h>
# define speed ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0)
# define int long long
# define fi first
# define se second
using namespace std;
const int N = 1e5 + 7;
const int mod = 1e9 + 7;
int a[N], dp[105][N];
int32_t main() {
speed;
int n, k;
cin >> n >> k;
for ( int i = 1; i <= n; i++ ) {
cin >> a[i];
}
for ( int i = 1; i <= n; i++ ) {
dp[0][i] = 1e9;
}
stack < pair < int, int > > st;
for ( int i = 1; i <= k; i++ ) {
while ( !st.empty() ) {
st.pop();
}
dp[i][i] = dp[i - 1][i - 1] + a[i];
st.push( { a[i], dp[i - 1][i - 1] } );
for ( int j = i + 1; j <= n; j++ ) {
int x = dp[i - 1][j - 1];
while ( !st.empty() && st.top().fi <= a[j] ) {
x = min( x, st.top().se );
st.pop();
}
if ( st.empty() || st.top().fi + st.top().se > a[j] + x ) {
st.push( { a[j ], x } );
}
dp[i][j] = st.top().fi + st.top().se;
}
}
cout << dp[k][n];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
492 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
492 KB |
Output is correct |
20 |
Correct |
1 ms |
492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
492 KB |
Output is correct |
35 |
Correct |
1 ms |
492 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
492 KB |
Output is correct |
38 |
Correct |
1 ms |
492 KB |
Output is correct |
39 |
Correct |
1 ms |
620 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
1 ms |
364 KB |
Output is correct |
42 |
Correct |
1 ms |
364 KB |
Output is correct |
43 |
Correct |
1 ms |
364 KB |
Output is correct |
44 |
Correct |
1 ms |
364 KB |
Output is correct |
45 |
Correct |
1 ms |
364 KB |
Output is correct |
46 |
Correct |
1 ms |
364 KB |
Output is correct |
47 |
Correct |
1 ms |
364 KB |
Output is correct |
48 |
Correct |
1 ms |
364 KB |
Output is correct |
49 |
Correct |
1 ms |
364 KB |
Output is correct |
50 |
Correct |
1 ms |
364 KB |
Output is correct |
51 |
Correct |
1 ms |
492 KB |
Output is correct |
52 |
Correct |
1 ms |
536 KB |
Output is correct |
53 |
Correct |
1 ms |
1004 KB |
Output is correct |
54 |
Correct |
1 ms |
1004 KB |
Output is correct |
55 |
Correct |
1 ms |
620 KB |
Output is correct |
56 |
Correct |
1 ms |
1008 KB |
Output is correct |
57 |
Correct |
1 ms |
1004 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
364 KB |
Output is correct |
30 |
Correct |
1 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
492 KB |
Output is correct |
35 |
Correct |
1 ms |
492 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
492 KB |
Output is correct |
38 |
Correct |
1 ms |
492 KB |
Output is correct |
39 |
Correct |
1 ms |
620 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
1 ms |
364 KB |
Output is correct |
42 |
Correct |
1 ms |
364 KB |
Output is correct |
43 |
Correct |
1 ms |
364 KB |
Output is correct |
44 |
Correct |
1 ms |
364 KB |
Output is correct |
45 |
Correct |
1 ms |
364 KB |
Output is correct |
46 |
Correct |
1 ms |
364 KB |
Output is correct |
47 |
Correct |
1 ms |
364 KB |
Output is correct |
48 |
Correct |
1 ms |
364 KB |
Output is correct |
49 |
Correct |
1 ms |
364 KB |
Output is correct |
50 |
Correct |
1 ms |
364 KB |
Output is correct |
51 |
Correct |
1 ms |
492 KB |
Output is correct |
52 |
Correct |
1 ms |
536 KB |
Output is correct |
53 |
Correct |
1 ms |
1004 KB |
Output is correct |
54 |
Correct |
1 ms |
1004 KB |
Output is correct |
55 |
Correct |
1 ms |
620 KB |
Output is correct |
56 |
Correct |
1 ms |
1008 KB |
Output is correct |
57 |
Correct |
1 ms |
1004 KB |
Output is correct |
58 |
Correct |
6 ms |
2688 KB |
Output is correct |
59 |
Correct |
7 ms |
1772 KB |
Output is correct |
60 |
Correct |
10 ms |
3872 KB |
Output is correct |
61 |
Correct |
53 ms |
28140 KB |
Output is correct |
62 |
Correct |
160 ms |
81004 KB |
Output is correct |
63 |
Correct |
16 ms |
4972 KB |
Output is correct |
64 |
Correct |
74 ms |
37868 KB |
Output is correct |
65 |
Correct |
1 ms |
492 KB |
Output is correct |
66 |
Correct |
1 ms |
620 KB |
Output is correct |
67 |
Correct |
1 ms |
620 KB |
Output is correct |
68 |
Correct |
1 ms |
620 KB |
Output is correct |
69 |
Correct |
1 ms |
364 KB |
Output is correct |
70 |
Correct |
1 ms |
492 KB |
Output is correct |
71 |
Correct |
16 ms |
8940 KB |
Output is correct |
72 |
Correct |
3 ms |
748 KB |
Output is correct |
73 |
Correct |
6 ms |
2668 KB |
Output is correct |
74 |
Correct |
5 ms |
1772 KB |
Output is correct |
75 |
Correct |
9 ms |
3820 KB |
Output is correct |
76 |
Correct |
48 ms |
28140 KB |
Output is correct |
77 |
Correct |
130 ms |
80876 KB |
Output is correct |
78 |
Correct |
14 ms |
4972 KB |
Output is correct |
79 |
Correct |
67 ms |
37868 KB |
Output is correct |
80 |
Correct |
12 ms |
3436 KB |
Output is correct |
81 |
Correct |
23 ms |
10488 KB |
Output is correct |
82 |
Correct |
136 ms |
80876 KB |
Output is correct |
83 |
Correct |
1 ms |
364 KB |
Output is correct |
84 |
Correct |
1 ms |
492 KB |
Output is correct |
85 |
Correct |
22 ms |
8940 KB |
Output is correct |
86 |
Correct |
2 ms |
748 KB |
Output is correct |
87 |
Correct |
7 ms |
2668 KB |
Output is correct |
88 |
Correct |
6 ms |
1772 KB |
Output is correct |
89 |
Correct |
11 ms |
4076 KB |
Output is correct |
90 |
Correct |
74 ms |
28524 KB |
Output is correct |
91 |
Correct |
217 ms |
81516 KB |
Output is correct |
92 |
Correct |
16 ms |
5612 KB |
Output is correct |
93 |
Correct |
102 ms |
38380 KB |
Output is correct |
94 |
Correct |
2 ms |
748 KB |
Output is correct |
95 |
Correct |
16 ms |
8940 KB |
Output is correct |
96 |
Correct |
1 ms |
492 KB |
Output is correct |
97 |
Correct |
1 ms |
364 KB |
Output is correct |
98 |
Correct |
1 ms |
364 KB |
Output is correct |
99 |
Correct |
1 ms |
364 KB |
Output is correct |