#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;
const int N = 100'032;
const int K = 110;
const ll inf = 1e15;
ll dp[K][N];
ll a[N];
int n;
ll seg[K][2*N];
ll get(int k, int l, int r)
{
l += N; r += N;
ll ans = inf;
while (l < r) {
if (l&1) ans = min(ans, seg[k][l++]);
if (r&1) ans = min(ans, seg[k][--r]);
l /= 2; r /= 2;
}
return ans;
}
void up(int k, int i, ll x)
{
i += N;
while (i) {
seg[k][i] = min(seg[k][i], x);
i /= 2;
}
}
int main()
{
cin.tie(0) -> sync_with_stdio(false);
int k;
cin >> n >> k;
Loop (i,0,n)
cin >> a[i];
memset(seg, 32 /* inf */, sizeof(seg));
dp[1][0] = a[0];
up(1, 0, dp[1][0]);
Loop (i,2,k+1)
dp[i][0] = inf;
vector<int> vec;
vec.push_back(0);
Loop (i,1,n) {
while (vec.size() && a[vec.back()] < a[i])
vec.pop_back();
dp[1][i] = max(a[i], dp[1][i-1]);
up(1, i, dp[1][i]);
Loop (j,2,k+1) {
dp[j][i] = get(j-1, vec.size()?
vec.back():
0, i) + a[i];
if (vec.size()) {
dp[j][i] = min(dp[j][i],
dp[j][vec.back()]);
}
up(j, i, dp[j][i]);
}
vec.push_back(i);
}
cout << dp[k][n-1] << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
172504 KB |
Output is correct |
2 |
Correct |
65 ms |
172492 KB |
Output is correct |
3 |
Correct |
64 ms |
172516 KB |
Output is correct |
4 |
Correct |
64 ms |
172476 KB |
Output is correct |
5 |
Correct |
66 ms |
172560 KB |
Output is correct |
6 |
Correct |
71 ms |
172648 KB |
Output is correct |
7 |
Correct |
66 ms |
172472 KB |
Output is correct |
8 |
Correct |
65 ms |
172536 KB |
Output is correct |
9 |
Correct |
64 ms |
172512 KB |
Output is correct |
10 |
Correct |
64 ms |
172512 KB |
Output is correct |
11 |
Correct |
62 ms |
172584 KB |
Output is correct |
12 |
Correct |
63 ms |
172492 KB |
Output is correct |
13 |
Correct |
70 ms |
172616 KB |
Output is correct |
14 |
Correct |
73 ms |
172524 KB |
Output is correct |
15 |
Correct |
67 ms |
172464 KB |
Output is correct |
16 |
Correct |
66 ms |
172548 KB |
Output is correct |
17 |
Correct |
70 ms |
172556 KB |
Output is correct |
18 |
Correct |
69 ms |
172676 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
172524 KB |
Output is correct |
2 |
Correct |
69 ms |
172492 KB |
Output is correct |
3 |
Correct |
83 ms |
172476 KB |
Output is correct |
4 |
Correct |
67 ms |
172580 KB |
Output is correct |
5 |
Correct |
70 ms |
172524 KB |
Output is correct |
6 |
Correct |
70 ms |
172472 KB |
Output is correct |
7 |
Correct |
89 ms |
172468 KB |
Output is correct |
8 |
Correct |
66 ms |
172552 KB |
Output is correct |
9 |
Correct |
65 ms |
172568 KB |
Output is correct |
10 |
Correct |
64 ms |
172544 KB |
Output is correct |
11 |
Correct |
64 ms |
172492 KB |
Output is correct |
12 |
Correct |
67 ms |
172516 KB |
Output is correct |
13 |
Correct |
65 ms |
172492 KB |
Output is correct |
14 |
Correct |
67 ms |
172604 KB |
Output is correct |
15 |
Correct |
71 ms |
172620 KB |
Output is correct |
16 |
Correct |
65 ms |
172588 KB |
Output is correct |
17 |
Correct |
65 ms |
172616 KB |
Output is correct |
18 |
Correct |
66 ms |
172632 KB |
Output is correct |
19 |
Correct |
66 ms |
172556 KB |
Output is correct |
20 |
Correct |
68 ms |
172588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
172504 KB |
Output is correct |
2 |
Correct |
65 ms |
172492 KB |
Output is correct |
3 |
Correct |
64 ms |
172516 KB |
Output is correct |
4 |
Correct |
64 ms |
172476 KB |
Output is correct |
5 |
Correct |
66 ms |
172560 KB |
Output is correct |
6 |
Correct |
71 ms |
172648 KB |
Output is correct |
7 |
Correct |
66 ms |
172472 KB |
Output is correct |
8 |
Correct |
65 ms |
172536 KB |
Output is correct |
9 |
Correct |
64 ms |
172512 KB |
Output is correct |
10 |
Correct |
64 ms |
172512 KB |
Output is correct |
11 |
Correct |
62 ms |
172584 KB |
Output is correct |
12 |
Correct |
63 ms |
172492 KB |
Output is correct |
13 |
Correct |
70 ms |
172616 KB |
Output is correct |
14 |
Correct |
73 ms |
172524 KB |
Output is correct |
15 |
Correct |
67 ms |
172464 KB |
Output is correct |
16 |
Correct |
66 ms |
172548 KB |
Output is correct |
17 |
Correct |
70 ms |
172556 KB |
Output is correct |
18 |
Correct |
69 ms |
172676 KB |
Output is correct |
19 |
Correct |
73 ms |
172524 KB |
Output is correct |
20 |
Correct |
69 ms |
172492 KB |
Output is correct |
21 |
Correct |
83 ms |
172476 KB |
Output is correct |
22 |
Correct |
67 ms |
172580 KB |
Output is correct |
23 |
Correct |
70 ms |
172524 KB |
Output is correct |
24 |
Correct |
70 ms |
172472 KB |
Output is correct |
25 |
Correct |
89 ms |
172468 KB |
Output is correct |
26 |
Correct |
66 ms |
172552 KB |
Output is correct |
27 |
Correct |
65 ms |
172568 KB |
Output is correct |
28 |
Correct |
64 ms |
172544 KB |
Output is correct |
29 |
Correct |
64 ms |
172492 KB |
Output is correct |
30 |
Correct |
67 ms |
172516 KB |
Output is correct |
31 |
Correct |
65 ms |
172492 KB |
Output is correct |
32 |
Correct |
67 ms |
172604 KB |
Output is correct |
33 |
Correct |
71 ms |
172620 KB |
Output is correct |
34 |
Correct |
65 ms |
172588 KB |
Output is correct |
35 |
Correct |
65 ms |
172616 KB |
Output is correct |
36 |
Correct |
66 ms |
172632 KB |
Output is correct |
37 |
Correct |
66 ms |
172556 KB |
Output is correct |
38 |
Correct |
68 ms |
172588 KB |
Output is correct |
39 |
Correct |
63 ms |
172804 KB |
Output is correct |
40 |
Correct |
67 ms |
172496 KB |
Output is correct |
41 |
Correct |
68 ms |
172488 KB |
Output is correct |
42 |
Correct |
72 ms |
172492 KB |
Output is correct |
43 |
Correct |
64 ms |
172544 KB |
Output is correct |
44 |
Correct |
66 ms |
172516 KB |
Output is correct |
45 |
Correct |
76 ms |
172624 KB |
Output is correct |
46 |
Correct |
66 ms |
172528 KB |
Output is correct |
47 |
Correct |
82 ms |
172528 KB |
Output is correct |
48 |
Correct |
80 ms |
172492 KB |
Output is correct |
49 |
Correct |
69 ms |
172620 KB |
Output is correct |
50 |
Correct |
65 ms |
172536 KB |
Output is correct |
51 |
Correct |
66 ms |
172636 KB |
Output is correct |
52 |
Correct |
72 ms |
172620 KB |
Output is correct |
53 |
Correct |
72 ms |
173196 KB |
Output is correct |
54 |
Correct |
64 ms |
173232 KB |
Output is correct |
55 |
Correct |
64 ms |
172900 KB |
Output is correct |
56 |
Correct |
65 ms |
173172 KB |
Output is correct |
57 |
Correct |
66 ms |
173132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
172504 KB |
Output is correct |
2 |
Correct |
65 ms |
172492 KB |
Output is correct |
3 |
Correct |
64 ms |
172516 KB |
Output is correct |
4 |
Correct |
64 ms |
172476 KB |
Output is correct |
5 |
Correct |
66 ms |
172560 KB |
Output is correct |
6 |
Correct |
71 ms |
172648 KB |
Output is correct |
7 |
Correct |
66 ms |
172472 KB |
Output is correct |
8 |
Correct |
65 ms |
172536 KB |
Output is correct |
9 |
Correct |
64 ms |
172512 KB |
Output is correct |
10 |
Correct |
64 ms |
172512 KB |
Output is correct |
11 |
Correct |
62 ms |
172584 KB |
Output is correct |
12 |
Correct |
63 ms |
172492 KB |
Output is correct |
13 |
Correct |
70 ms |
172616 KB |
Output is correct |
14 |
Correct |
73 ms |
172524 KB |
Output is correct |
15 |
Correct |
67 ms |
172464 KB |
Output is correct |
16 |
Correct |
66 ms |
172548 KB |
Output is correct |
17 |
Correct |
70 ms |
172556 KB |
Output is correct |
18 |
Correct |
69 ms |
172676 KB |
Output is correct |
19 |
Correct |
73 ms |
172524 KB |
Output is correct |
20 |
Correct |
69 ms |
172492 KB |
Output is correct |
21 |
Correct |
83 ms |
172476 KB |
Output is correct |
22 |
Correct |
67 ms |
172580 KB |
Output is correct |
23 |
Correct |
70 ms |
172524 KB |
Output is correct |
24 |
Correct |
70 ms |
172472 KB |
Output is correct |
25 |
Correct |
89 ms |
172468 KB |
Output is correct |
26 |
Correct |
66 ms |
172552 KB |
Output is correct |
27 |
Correct |
65 ms |
172568 KB |
Output is correct |
28 |
Correct |
64 ms |
172544 KB |
Output is correct |
29 |
Correct |
64 ms |
172492 KB |
Output is correct |
30 |
Correct |
67 ms |
172516 KB |
Output is correct |
31 |
Correct |
65 ms |
172492 KB |
Output is correct |
32 |
Correct |
67 ms |
172604 KB |
Output is correct |
33 |
Correct |
71 ms |
172620 KB |
Output is correct |
34 |
Correct |
65 ms |
172588 KB |
Output is correct |
35 |
Correct |
65 ms |
172616 KB |
Output is correct |
36 |
Correct |
66 ms |
172632 KB |
Output is correct |
37 |
Correct |
66 ms |
172556 KB |
Output is correct |
38 |
Correct |
68 ms |
172588 KB |
Output is correct |
39 |
Correct |
63 ms |
172804 KB |
Output is correct |
40 |
Correct |
67 ms |
172496 KB |
Output is correct |
41 |
Correct |
68 ms |
172488 KB |
Output is correct |
42 |
Correct |
72 ms |
172492 KB |
Output is correct |
43 |
Correct |
64 ms |
172544 KB |
Output is correct |
44 |
Correct |
66 ms |
172516 KB |
Output is correct |
45 |
Correct |
76 ms |
172624 KB |
Output is correct |
46 |
Correct |
66 ms |
172528 KB |
Output is correct |
47 |
Correct |
82 ms |
172528 KB |
Output is correct |
48 |
Correct |
80 ms |
172492 KB |
Output is correct |
49 |
Correct |
69 ms |
172620 KB |
Output is correct |
50 |
Correct |
65 ms |
172536 KB |
Output is correct |
51 |
Correct |
66 ms |
172636 KB |
Output is correct |
52 |
Correct |
72 ms |
172620 KB |
Output is correct |
53 |
Correct |
72 ms |
173196 KB |
Output is correct |
54 |
Correct |
64 ms |
173232 KB |
Output is correct |
55 |
Correct |
64 ms |
172900 KB |
Output is correct |
56 |
Correct |
65 ms |
173172 KB |
Output is correct |
57 |
Correct |
66 ms |
173132 KB |
Output is correct |
58 |
Correct |
79 ms |
174828 KB |
Output is correct |
59 |
Correct |
70 ms |
173548 KB |
Output is correct |
60 |
Correct |
86 ms |
175660 KB |
Output is correct |
61 |
Correct |
310 ms |
199940 KB |
Output is correct |
62 |
Execution timed out |
1033 ms |
252564 KB |
Time limit exceeded |
63 |
Halted |
0 ms |
0 KB |
- |