#define BUGO(x) cerr << #x << " = " << (x) << '\n';
#include <iostream>
#include <algorithm>
#include <stack>
#include <vector>
using namespace std;
using ll = long long;
const int N = 100'002;
const int K = 20;
const ll inf = 1'000'000'000'000'000'000LL;
ll dp[N][102], a[N];
struct el {
ll x; int ind;
};
bool operator<(const el& a, const el& b) {
return a.x < b.x;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, k;
cin >> n >> k;
for (int i = 1; i <= n; i++)
cin >> a[i];
for (int i = 0; i <= n; i++)
for (int curk = 1; curk <= k; curk++)
dp[i][curk] = inf;
for (int curk = 1; curk <= k; curk++) {
stack<el> x;
vector<int> mn;
x.push({ inf, 0 });
for (int i = 1; i <= n; i++) {
while (!mn.empty() && dp[mn.back()][curk - 1] > dp[i - 1][curk - 1])
mn.erase(prev(mn.end()));
if (i > 1)
mn.push_back(i - 1);
while (x.top().x < a[i])x.pop();
el prev = x.top();
x.push({ a[i], i });
if (i < curk) {
continue;
}
if (curk == 1)
dp[i][curk] = ((i - 1 != 0) ? max(dp[i - 1][1], a[i]) : a[i]);
else if (prev.ind == 0) {
if (i - 1 == 0)
dp[i][curk] = a[i];
else {
int x = lower_bound(mn.begin(), mn.end(), 1) - mn.begin();
// cerr << x << '\n';
dp[i][curk] = a[i] + dp[mn[x]][curk - 1];
}
}
else {
int x = lower_bound(mn.begin(), mn.end(), prev.ind) - mn.begin();
// cerr << x << '\n';
dp[i][curk] = min(dp[prev.ind][curk], dp[mn[x]][curk - 1] + a[i]);
}
}
}
/* for (int i = 0; i <= n; i++)
{
for (int curk = 0; curk <= k; curk++)
cerr << dp[i][curk] << ' ';
cerr << '\n';
}*/
cout << dp[n][k] << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
0 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
0 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
0 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 |
512 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 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 |
0 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 |
384 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 |
0 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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
0 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
0 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
0 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 |
512 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
0 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 |
0 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 |
384 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 |
364 KB |
Output is correct |
35 |
Correct |
0 ms |
364 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
1 ms |
364 KB |
Output is correct |
39 |
Correct |
1 ms |
364 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 |
0 ms |
364 KB |
Output is correct |
45 |
Correct |
0 ms |
364 KB |
Output is correct |
46 |
Correct |
0 ms |
364 KB |
Output is correct |
47 |
Correct |
1 ms |
364 KB |
Output is correct |
48 |
Correct |
0 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 |
364 KB |
Output is correct |
52 |
Correct |
1 ms |
364 KB |
Output is correct |
53 |
Correct |
1 ms |
364 KB |
Output is correct |
54 |
Correct |
1 ms |
364 KB |
Output is correct |
55 |
Correct |
1 ms |
364 KB |
Output is correct |
56 |
Correct |
1 ms |
364 KB |
Output is correct |
57 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
0 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
0 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
0 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 |
512 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
0 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 |
0 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 |
384 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 |
364 KB |
Output is correct |
35 |
Correct |
0 ms |
364 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
1 ms |
364 KB |
Output is correct |
39 |
Correct |
1 ms |
364 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 |
0 ms |
364 KB |
Output is correct |
45 |
Correct |
0 ms |
364 KB |
Output is correct |
46 |
Correct |
0 ms |
364 KB |
Output is correct |
47 |
Correct |
1 ms |
364 KB |
Output is correct |
48 |
Correct |
0 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 |
364 KB |
Output is correct |
52 |
Correct |
1 ms |
364 KB |
Output is correct |
53 |
Correct |
1 ms |
364 KB |
Output is correct |
54 |
Correct |
1 ms |
364 KB |
Output is correct |
55 |
Correct |
1 ms |
364 KB |
Output is correct |
56 |
Correct |
1 ms |
364 KB |
Output is correct |
57 |
Correct |
1 ms |
364 KB |
Output is correct |
58 |
Correct |
15 ms |
8556 KB |
Output is correct |
59 |
Correct |
23 ms |
36588 KB |
Output is correct |
60 |
Correct |
38 ms |
36772 KB |
Output is correct |
61 |
Correct |
227 ms |
36736 KB |
Output is correct |
62 |
Correct |
656 ms |
82052 KB |
Output is correct |
63 |
Correct |
62 ms |
82532 KB |
Output is correct |
64 |
Correct |
322 ms |
82628 KB |
Output is correct |
65 |
Correct |
1 ms |
492 KB |
Output is correct |
66 |
Correct |
1 ms |
364 KB |
Output is correct |
67 |
Correct |
1 ms |
492 KB |
Output is correct |
68 |
Correct |
1 ms |
364 KB |
Output is correct |
69 |
Correct |
1 ms |
1132 KB |
Output is correct |
70 |
Correct |
2 ms |
1132 KB |
Output is correct |
71 |
Correct |
52 ms |
8556 KB |
Output is correct |
72 |
Correct |
6 ms |
8556 KB |
Output is correct |
73 |
Correct |
16 ms |
8556 KB |
Output is correct |
74 |
Correct |
22 ms |
36848 KB |
Output is correct |
75 |
Correct |
36 ms |
36928 KB |
Output is correct |
76 |
Correct |
205 ms |
36928 KB |
Output is correct |
77 |
Correct |
478 ms |
82532 KB |
Output is correct |
78 |
Correct |
61 ms |
82532 KB |
Output is correct |
79 |
Correct |
246 ms |
82532 KB |
Output is correct |
80 |
Correct |
51 ms |
82288 KB |
Output is correct |
81 |
Correct |
91 ms |
82532 KB |
Output is correct |
82 |
Correct |
525 ms |
82532 KB |
Output is correct |
83 |
Correct |
1 ms |
1132 KB |
Output is correct |
84 |
Correct |
1 ms |
1132 KB |
Output is correct |
85 |
Correct |
29 ms |
8680 KB |
Output is correct |
86 |
Correct |
6 ms |
8676 KB |
Output is correct |
87 |
Correct |
11 ms |
8676 KB |
Output is correct |
88 |
Correct |
24 ms |
36972 KB |
Output is correct |
89 |
Correct |
34 ms |
37048 KB |
Output is correct |
90 |
Correct |
115 ms |
37048 KB |
Output is correct |
91 |
Correct |
341 ms |
82788 KB |
Output is correct |
92 |
Correct |
60 ms |
82788 KB |
Output is correct |
93 |
Correct |
182 ms |
82788 KB |
Output is correct |
94 |
Correct |
6 ms |
8556 KB |
Output is correct |
95 |
Correct |
44 ms |
8556 KB |
Output is correct |
96 |
Correct |
1 ms |
1132 KB |
Output is correct |
97 |
Correct |
1 ms |
1132 KB |
Output is correct |
98 |
Correct |
1 ms |
364 KB |
Output is correct |
99 |
Correct |
1 ms |
364 KB |
Output is correct |