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Cod sursa(job #465001)
#include <iostream>
#include <fstream>
#include <algorithm>
using namespace std;
int const maxn = 10000; int const maxk = 1000;
int A[1+maxk][1+maxn], S[1+maxn], V[1+maxn], N, K;
void dp()
{ int q, i, u;
for ( q=2; K>=q; ++q)
{
A[q][q]=V[q]+A[q-1][q-1];
u=A[q-1][q]-S[q];
for (i=q+1; N>=i; ++i)
{
A[q][i] = max(A[q][i-1], S[i]+u);
u = max(u, A[q-1][i]-S[i]);
}
}
}
void init1()
{ int i; A[1][1]=V[1]; for(i=2; N>=i; ++i) { A[1][i]=max(V[i]+A[1][i-1], V[i]); } }
void init2()
{ int i; for(i=1; N>=i; ++i) { A[1][i]=S[i]; } }
int maxval1()
{ int i, u=A[K][K]; for (i=K+1; N>=i; ++i) { u=max(u,A[K][i]); } return u; }
int maxval2()
{ int i, u=A[K][N], w=0;
for (i=N-1; K<=i; --i) { w=max(u,S[N]-S[i]); u=max(u,A[K][i]+w); }
return u;
}
int main()
{
ifstream is("ferma.in"); ofstream os("ferma.out");
is >> N >> K; int i, s;
for (i=1, S[0]=0; N>=i; ++i) { is >> V[i]; S[i]=S[i-1]+V[i]; }
if (N>=K)
{ init1(); dp(); s=maxval1(); init2(); dp(); s=max(s,maxval2()); s=max(0,s); }
else { s=0; }
os << s << endl;
}