Gry finally becomes the Executive Courier Officer in "Universe Express". He has $n$ subordinate couriers with some delivery strength $f_i$. The delivery strength of a team of three people is the median of their strength, i.e., the middle element after the sorting. Please help Gry to split the couriers into $k$ teams of three people in order to maximize the total delivery strength of "Universe Express". The total strength is the sum of the strength of these $k$ teams.
The sole line of the output should contain the maximal strength of "Universe Express".