Three numbers

There are three numbers on the board (\(a, b, c\)).

Step: Delete one of the numbers. If \(N\) equals to the sum of the two other numbers, then write down \(N-1\).

You can repeat the step above any number of times. Imagine that sometime there are three numbers on the board: \(17,1983,1999\).

Which of the following sentences is/are true?

A: It is possible, that the original three numbers are \((a,b,c)=(2,2,2).\)

B: It is possible, that the original three numbers are \((a,b,c)=(3,3,3).\)

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