Existence Hypothetical

[BAndrew]

If, for an arbitrarily tiny unit of time, every cell in our body was completely incinerated, and then immediately brought back to their former state (but the unit of time passes), would this person be the exact same being as you right now? Could your conscious mind now belong to the recreated person?

Brain cells are also incinerated?

A)If no, then of course it would be the same person. After all, our cells (except neurons and other cells in our brain) die every 4 months approximately.

B)If yes then it depends. Will they be replaced with identical brain cells? Will they contain the same information?

Bi)If yes then it will be the same person.
Bii)If not then we are talking about a different person.