#include <bits/stdc++.h>
//#pragma GCC optimize("unroll-loops")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("-O3")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#define vec vector
#define sz(x) ( int)x.size()
#define m_p make_pair
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
using namespace std;
typedef long long ll;
typedef pair<ll, int> pli;
typedef pair<int,ll> pil;
typedef pair<int,int> pii;
typedef unsigned long long ull;
auto rng=bind(uniform_int_distribution<int>(1,1000),mt19937(time(0)));
template<class T> bool umax(T &a,const T &b){return (a<b?a=b,1:0);}
template<class T> bool umin(T &a,const T &b){return (a>b?a=b,1:0);}
const int N=1e5+1;
const int K=100;
const int lg=(int)log2(N)+1;
int lft[N],rgt[N];
int dp[N][K],a[N];
int st[N][K];
signed main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int n,k;
// n=10;k=5;
cin>>n>>k;
for(int i=0;i<n;i++) cin>>a[i];
{
vec<pii>vc;
vc.pb({2e9,-1});
for(int i=0;i<n;i++){
while(sz(vc) && vc.back().f<=a[i]) vc.pop_back();
lft[i]=vc.back().s;
vc.pb({a[i],i});
}
}
{
vec<pii>vc;
vc.pb({2e9,n});
for(int i=n-1;i>=0;i--){
while(sz(vc) && vc.back().f<=a[i]) vc.pop_back();
rgt[i]=vc.back().s;
vc.pb({a[i],i});
}
}
for(int i=0;i<=n;i++){
for(int j=0;j<=k;j++){
dp[i][j]=st[i][j]=1e9;
}
}
dp[0][0]=0;
for(int j=1;j<=k;j++){
vec<array<int,3>>arr;
arr.pb({(int)2e9,-1,(int)2e9});
for(int i=j-1;i<n;i++){
int mn=dp[i][j-1];
while(arr.back()[0]<=a[i]){
umin(mn,arr.back()[1]);
arr.pop_back();
}
arr.pb({a[i],mn,min(arr.back()[2],a[i]+mn)});
dp[i+1][j]=arr.back()[2];
}
}
cout<<dp[n][k];
return 0;
}
/*
4 3
1 2 2 1
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
0 ms |
332 KB |
Output is correct |
19 |
Correct |
0 ms |
332 KB |
Output is correct |
20 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
0 ms |
332 KB |
Output is correct |
19 |
Correct |
0 ms |
332 KB |
Output is correct |
20 |
Correct |
0 ms |
332 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
0 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
0 ms |
332 KB |
Output is correct |
28 |
Correct |
0 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
0 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
0 ms |
332 KB |
Output is correct |
34 |
Correct |
0 ms |
332 KB |
Output is correct |
35 |
Correct |
0 ms |
332 KB |
Output is correct |
36 |
Correct |
0 ms |
332 KB |
Output is correct |
37 |
Correct |
0 ms |
332 KB |
Output is correct |
38 |
Correct |
0 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
0 ms |
332 KB |
Output is correct |
41 |
Correct |
0 ms |
332 KB |
Output is correct |
42 |
Correct |
0 ms |
332 KB |
Output is correct |
43 |
Correct |
0 ms |
332 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
0 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
0 ms |
332 KB |
Output is correct |
48 |
Correct |
0 ms |
332 KB |
Output is correct |
49 |
Correct |
0 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
0 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
332 KB |
Output is correct |
16 |
Correct |
0 ms |
332 KB |
Output is correct |
17 |
Correct |
0 ms |
332 KB |
Output is correct |
18 |
Correct |
0 ms |
332 KB |
Output is correct |
19 |
Correct |
0 ms |
332 KB |
Output is correct |
20 |
Correct |
0 ms |
332 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
0 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
332 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
0 ms |
332 KB |
Output is correct |
28 |
Correct |
0 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
0 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
0 ms |
332 KB |
Output is correct |
34 |
Correct |
0 ms |
332 KB |
Output is correct |
35 |
Correct |
0 ms |
332 KB |
Output is correct |
36 |
Correct |
0 ms |
332 KB |
Output is correct |
37 |
Correct |
0 ms |
332 KB |
Output is correct |
38 |
Correct |
0 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
0 ms |
332 KB |
Output is correct |
41 |
Correct |
0 ms |
332 KB |
Output is correct |
42 |
Correct |
0 ms |
332 KB |
Output is correct |
43 |
Correct |
0 ms |
332 KB |
Output is correct |
44 |
Correct |
0 ms |
332 KB |
Output is correct |
45 |
Correct |
0 ms |
332 KB |
Output is correct |
46 |
Correct |
1 ms |
332 KB |
Output is correct |
47 |
Correct |
0 ms |
332 KB |
Output is correct |
48 |
Correct |
0 ms |
332 KB |
Output is correct |
49 |
Correct |
0 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
332 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
58 |
Correct |
9 ms |
8268 KB |
Output is correct |
59 |
Correct |
23 ms |
35708 KB |
Output is correct |
60 |
Correct |
29 ms |
35788 KB |
Output is correct |
61 |
Correct |
113 ms |
35776 KB |
Output is correct |
62 |
Correct |
337 ms |
79880 KB |
Output is correct |
63 |
Correct |
56 ms |
79824 KB |
Output is correct |
64 |
Correct |
168 ms |
79876 KB |
Output is correct |
65 |
Correct |
1 ms |
332 KB |
Output is correct |
66 |
Correct |
1 ms |
332 KB |
Output is correct |
67 |
Correct |
1 ms |
332 KB |
Output is correct |
68 |
Correct |
1 ms |
332 KB |
Output is correct |
69 |
Correct |
1 ms |
1100 KB |
Output is correct |
70 |
Correct |
1 ms |
1100 KB |
Output is correct |
71 |
Correct |
22 ms |
8268 KB |
Output is correct |
72 |
Correct |
7 ms |
8268 KB |
Output is correct |
73 |
Correct |
11 ms |
8292 KB |
Output is correct |
74 |
Correct |
23 ms |
35580 KB |
Output is correct |
75 |
Correct |
29 ms |
35660 KB |
Output is correct |
76 |
Correct |
96 ms |
35656 KB |
Output is correct |
77 |
Correct |
326 ms |
79752 KB |
Output is correct |
78 |
Correct |
58 ms |
79644 KB |
Output is correct |
79 |
Correct |
185 ms |
79820 KB |
Output is correct |
80 |
Correct |
53 ms |
79732 KB |
Output is correct |
81 |
Correct |
81 ms |
79688 KB |
Output is correct |
82 |
Correct |
331 ms |
79756 KB |
Output is correct |
83 |
Correct |
1 ms |
1100 KB |
Output is correct |
84 |
Correct |
1 ms |
1100 KB |
Output is correct |
85 |
Correct |
23 ms |
8396 KB |
Output is correct |
86 |
Correct |
6 ms |
8268 KB |
Output is correct |
87 |
Correct |
10 ms |
8268 KB |
Output is correct |
88 |
Correct |
23 ms |
35920 KB |
Output is correct |
89 |
Correct |
30 ms |
36004 KB |
Output is correct |
90 |
Correct |
106 ms |
36044 KB |
Output is correct |
91 |
Correct |
384 ms |
81040 KB |
Output is correct |
92 |
Correct |
58 ms |
80920 KB |
Output is correct |
93 |
Correct |
194 ms |
80952 KB |
Output is correct |
94 |
Correct |
6 ms |
8268 KB |
Output is correct |
95 |
Correct |
22 ms |
8268 KB |
Output is correct |
96 |
Correct |
1 ms |
1100 KB |
Output is correct |
97 |
Correct |
1 ms |
1100 KB |
Output is correct |
98 |
Correct |
1 ms |
332 KB |
Output is correct |
99 |
Correct |
1 ms |
332 KB |
Output is correct |