#!/usr/bin/ruby $memo={} $memo2={} def dfs(prev,cur,remain) if remain<0 return -Float::INFINITY elsif cur==W.size return remain>0 ? -Float::INFINITY : 0 end $memo[prev*100000000+cur*10000+remain]||=[dfs(0,cur+1,remain),dfs(1,cur+1,remain-1)+W[cur-1]*prev].max end def dfs2(prev,cur,remain) if remain<0 return -Float::INFINITY elsif cur==W.size return remain>0 ? -Float::INFINITY : W[cur-1]*prev end $memo2[prev*100000000+cur*10000+remain]||=[dfs2(0,cur+1,remain),dfs2(1,cur+1,remain-1)+W[cur-1]*prev].max end n,m,*W=$<.read.split.map(&:to_i) if m<2 p 0 exit else p [dfs(0,1,m),dfs2(1,1,m-1)].max end