#include <bits/stdc++.h>
#define int long long
#define fr first
#define sc second
using namespace std;
const int mx = 1e5 + 5;
int n, k;
int a[mx];
vector <int> dp, tp;
void solve() {
cin >> n >> k;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
tp = vector<int>(n + 1, 2000000);
tp[0] = 0;
for (int j = 1; j <= k; j++) {
dp = vector<int>(n + 1);
vector <tuple <int, int, int>> stk;
vector <pair <int, int>> dtk;
for (int i = j-1; i >= 1; i--) {
tp[i-1] = min(tp[i-1], tp[j]);
}
for (int i = j; i <= n; i++) {
int tpm = tp[i-1];
while (stk.size() && get<0>(stk.back()) <= a[i]) {
tpm = min(tpm, get<1>(stk.back()));
stk.pop_back();
}
while (dtk.size() && a[dtk.back().sc] < a[i]) {
dtk.pop_back();
}
if (dtk.empty() || tpm + a[i] < dtk.back().fr + a[dtk.back().sc]) {
dtk.emplace_back(tpm, i);
}
dp[i] = dtk.back().fr + a[dtk.back().sc];
stk.emplace_back(a[i], tpm, i);
}
tp = dp;
}
cout << dp[n] << "\n";
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
328 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 |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 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 |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
328 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
328 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
328 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
328 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 |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
328 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
328 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
336 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
336 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
328 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 |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
328 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
328 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
328 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
336 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
0 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
336 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
5 ms |
724 KB |
Output is correct |
59 |
Correct |
5 ms |
1652 KB |
Output is correct |
60 |
Correct |
9 ms |
2008 KB |
Output is correct |
61 |
Correct |
49 ms |
2332 KB |
Output is correct |
62 |
Correct |
137 ms |
4916 KB |
Output is correct |
63 |
Correct |
13 ms |
4128 KB |
Output is correct |
64 |
Correct |
68 ms |
4044 KB |
Output is correct |
65 |
Correct |
1 ms |
212 KB |
Output is correct |
66 |
Correct |
1 ms |
340 KB |
Output is correct |
67 |
Correct |
1 ms |
340 KB |
Output is correct |
68 |
Correct |
1 ms |
212 KB |
Output is correct |
69 |
Correct |
1 ms |
340 KB |
Output is correct |
70 |
Correct |
1 ms |
336 KB |
Output is correct |
71 |
Correct |
18 ms |
724 KB |
Output is correct |
72 |
Correct |
2 ms |
604 KB |
Output is correct |
73 |
Correct |
6 ms |
760 KB |
Output is correct |
74 |
Correct |
8 ms |
1620 KB |
Output is correct |
75 |
Correct |
12 ms |
2028 KB |
Output is correct |
76 |
Correct |
65 ms |
2292 KB |
Output is correct |
77 |
Correct |
183 ms |
4776 KB |
Output is correct |
78 |
Correct |
15 ms |
4120 KB |
Output is correct |
79 |
Correct |
87 ms |
4140 KB |
Output is correct |
80 |
Correct |
10 ms |
3244 KB |
Output is correct |
81 |
Correct |
27 ms |
4884 KB |
Output is correct |
82 |
Correct |
184 ms |
4876 KB |
Output is correct |
83 |
Correct |
1 ms |
340 KB |
Output is correct |
84 |
Correct |
1 ms |
332 KB |
Output is correct |
85 |
Correct |
22 ms |
1012 KB |
Output is correct |
86 |
Correct |
2 ms |
796 KB |
Output is correct |
87 |
Correct |
6 ms |
988 KB |
Output is correct |
88 |
Correct |
5 ms |
2164 KB |
Output is correct |
89 |
Correct |
11 ms |
3108 KB |
Output is correct |
90 |
Correct |
82 ms |
3208 KB |
Output is correct |
91 |
Correct |
252 ms |
6920 KB |
Output is correct |
92 |
Correct |
17 ms |
6532 KB |
Output is correct |
93 |
Correct |
134 ms |
7292 KB |
Output is correct |
94 |
Correct |
2 ms |
596 KB |
Output is correct |
95 |
Correct |
14 ms |
596 KB |
Output is correct |
96 |
Correct |
1 ms |
340 KB |
Output is correct |
97 |
Correct |
1 ms |
340 KB |
Output is correct |
98 |
Correct |
0 ms |
212 KB |
Output is correct |
99 |
Correct |
1 ms |
336 KB |
Output is correct |