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>
#define int long long
using namespace std;
const int oo = 0x3f3f3f3f;
int n,k;
int v[300005];
int sp[300005];
pair<int,int> dp[300005][2];
pair<int,int> get_val(int c)
{
/* int Max = 0, nrval = 0;
int Max_pref = 0, nrval_pref = 0;
for(int i=1;i<=n;i++)
{
dp[i].first = Max_pref + sp[i] - c;
dp[i].second = nrval_pref + 1;
if(dp[i].first > Max || (dp[i].first==Max && dp[i].second < nrval))
{
Max = dp[i].first;
nrval = dp[i].second;
}
if(Max - sp[i] > Max_pref || (Max - sp[i]==Max_pref && nrval < nrval_pref))
{
Max_pref = Max - sp[i];
nrval_pref = nrval;
}
}
*/
dp[0][1].first = -oo;
for(int i=1; i<=n+1; i++)
{
if(dp[i-1][0]>=dp[i-1][1])
{
dp[i][0] = dp[i-1][0];
}
else
{
dp[i][0] = dp[i-1][1];
}
if(pair<int,int>{dp[i-1][1].first + v[i], 0 - dp[i-1][1].second} >= pair<int,int>{dp[i-1][0].first + v[i] - c, 0 - (dp[i-1][0].second + 1)})
{
dp[i][1] = {dp[i-1][1].first + v[i], dp[i-1][1].second};
}
else
{
dp[i][1] = {dp[i-1][0].first + v[i] - c, dp[i-1][0].second + 1};
}
}
return dp[n+1][0];
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin>>n>>k;
for(int i=1; i<=n; i++)
{
cin>>v[i];
sp[i] = sp[i-1] + v[i];
}
int st = 1;
int dr = 1e15;
while(st<=dr)
{
int mij = (st + dr) >> 1LL;
pair<int,int> val = get_val(mij);
if(val.second==k)
{
cout<<val.first + k * mij<<'\n';
return 0;
}
if(val.second<k)
{
dr = mij - 1;
}
else
{
st = mij + 1;
}
}
pair<int,int> val = get_val(st);
cout<<val.first + k * st<<'\n';
return 0;
}
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