This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define fr first
#define sc second
#define clr(a, x) memset(a, x, sizeof(a))
#define dbg(x) cout<<"("<<#x<<"): "<<x<<endl;
#define printvector(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout<<*it<<" "; cout<<endl;
#define all(v) v.begin(), v.end()
#define lcm(a, b) (a * b)/__gcd(a, b)
#define int long long int
#define printvecpairs(vec) for(auto it: vec) cout<<it.fr<<' '<<it.sc<<endl;
#define endl '\n'
#define float long double
const int MOD = 1e9 + 7;
const int INF = 2e15;
const int MAXN = 1e5 + 5;
int tree[2*MAXN];
int arr[MAXN];
int query(int node, int start, int end, int l, int r){
if(r < start or end < l){
return INF;
}
if(l <= start and end <= r){
return tree[node];
}
int mid = (start+end)/2;
int p1 = query(2*node, start, mid, l, r);
int p2 = query(2*node +1, mid+1, end, l, r);
return min(p1,p2);
}
void build(int curr, int start, int end){
if(start == end) {
tree[curr] = arr[start];
} else {
int mid = (start+end)/2;
build(2*curr, start, mid);
build(2*curr+1, mid+1, end);
tree[curr] = min(tree[2*curr],tree[2*curr+1]);
}
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
int n, k;
cin>>n>>k;
int a[n+3];
for(int i= 1;i<=n;i++){
cin>>a[i];
}
int dp[n+3][k+3];
for(int i= 0;i<=n;i++){
for(int j= 0;j<=k;j++){
dp[i][j] = INF;
}
}
dp[0][1] = 0;
for(int i = 1;i<=n;i++) {
dp[i][1] = max(dp[i-1][1], a[i]);
}
for(int j= 2;j<=k;j++){
for(int i =1;i<=n;i++){
arr[i] = dp[i][j-1];
}
build(1, 1, n);
for(int i= 1;i<=n;i++){
dp[i][j] = INF;
if(i < j) continue;
int mx = a[i];
int x = -1;
for(int ii =i-1;ii>=1;ii--){
if(a[ii] >= a[i]){
x = ii;
mx = max(mx, a[ii]);
break;
}
}
int lo = max(x, 1LL);
int hi = i-1;
if(lo <= hi){
dp[i][j] = min(query(1, 1, n, lo, hi)+a[i], dp[i][j]);
}
dp[i][j] = min(dp[max(x, 0LL)][j], dp[i][j]);
}
}
cout<<dp[n][k]<<endl;
return 0;
}
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