young tableau to a sorted list

Hi,

I have a young tableau (nxm matrix with sorted line and sorted column).
I want to generate the sorted list of the item of the young tableau.
I don’t want to repeat the following steps : extract-min and youngify as its complexity is in O(n^3).

Does a parallel algorithm exist which takes into account that I have a Young tableau (better that merging n sorted lists of m elements) ?

Mickaël