Memorising an ordered sequence with shifting positions

Hi,

I was playing a game the other day that involved building a sequence by inserting, at each turn, a new element between two already placed ones, so the sequence kept getting longer. At turn 10 there are 10 elements, and if we decide to insert one after position 5, the former elements 6, 7, 8, 9 and 10 would move to positions 7, 8, 9, 10, and 11.

I wonder if there is a good strategy to remember such a sequence, given that multiple elements can change position at any moment. A memory palace doesn’t seem suitable, as its indexes are static; otherwise, it would mean re-encoding several elements at every turn…

Thank you,