How many cuts would you need if the square index number 2x2 was already missing?

Puzzle:

There is a paper, it is divided into squares like a checker board. To get each square separated, how many times would you need to cut this paper? (Let’s say it is 5x5 checker board). How many cuts would you need if the square index number 2x2 was already missing? What if 2x1 is missing? What if 2x2 and 2x3 is missing? Is there a mathematical formula? Can you calculate how many cuts is needed given the size of the paper (5x5 for example) and which squares are already cuts out (missing)?

Answer:

Yet to be published.

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