I think in order to get Max height ,we should have min no of nodes ,so here we should nodes in lst to be x/2 if x= no of nodes in right subtree ,then also division will be n-1 to be n-1/3 and 2n-1/3 like n-1= 12 then x=8 and lst have 4 so 4/12 = n-1/3 and other has 2n-1/3