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 int long long
#define N 100006
int inf =10000000000006;
int dp[N][101];
int ind[N][101];
int pre[N];
int32_t main()
{
int n, k;
cin>>n>>k;
vector < int > a(n+1);
for(int i=1;i<=n;i++)
cin>>a[i];
a[0] = inf;
int cur = 1;
for(int i=1;i<=n;i++)
{
if( a[cur] < a[i])
cur = i;
dp[i][1] = a[cur];
ind[i][1] = cur;
}
for(int j=2;j<=k;j++)
{
stack < int > s;
for(int i=j;i<=n;i++)
{
dp[i][j] = dp[i-1][j-1] + a[i];
ind[i][j] = i;
while(s.size())
{
int temp = s.top();
if( a[temp] < a[i] )
{
if(dp[temp][j] - a[ind[temp][j]] + max(a[ind[temp][j]], a[i]) < dp[i][j])
{
dp[i][j] = dp[temp][j] - a[ind[temp][j]] + max(a[ind[temp][j]], a[i]);
}
s.pop();
}
else
{
break;
}
}
if(s.size())
{
int cur = s.top();
if( dp[i][j] > dp[cur][j])
{
dp[i][j] = dp[cur][j];
ind[i][j] = ind[cur][j];
}
}
s.push(i);
}
}
cout<<dp[n][k]<<endl;
return 0;
}
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