Question 2
A $1\times2021$ plank is to be cut into $2021$ unit squares. In each move, we can either cut through a single plank, dividing it into two (not necessarily equal), or through a stack of planks of equal length, dividing each of them into two in the same way. Your task is to achieve this goal using as few cuts as you can. How many cuts do you need? Describe your process in full detail.