CF425A.Sereja and Swaps

As usual, Sereja has array $a$ , its elements are integers: $a[1],a[2],...,a[n]$ . Let's introduce notation:

A swap operation is the following sequence of actions:

• choose two indexes $i,j$ $(i≠j)$ ;
• perform assignments $tmp=a[i],a[i]=a[j],a[j]=tmp$ .

What maximum value of function $m(a)$ can Sereja get if he is allowed to perform at most $k$ swap operations?

The first line contains two integers $n$ and $k$ $(1<=n<=200; 1<=k<=10)$ . The next line contains $n$ integers $a[1]$ , $a[2]$ , $...$ , $a[n]$ $(-1000<=a[i]<=1000)$ .

In a single line print the maximum value of $m(a)$ that Sereja can get if he is allowed to perform at most $k$ swap operations.