Consider a pair of integers, (a,b). The following operations can be performed on (a,b) in any order, zero or more times: - (a,b) -> ( a+b, b ) - (a,b) -> ( a, a+b )

The given pair of integers, (a,b), can undergo two operations in any order, zero or more times:

Operation 1: (a,b) -> (a+b, b)
In this operation, the value of 'a' is added to 'b', and the result is assigned to 'a'. The original value of 'b' remains unchanged.
For example, if (a,b) = (3,5), after applying this operation, the pair becomes (8,5).
This operation can be performed multiple times, with the updated value of 'a' being added to 'b' each time.
Operation 2: (a,b) -> (a, a+b)
In this operation, the value of 'b' is added to 'a', and the result is assigned to 'b'. The original value of 'a' remains unchanged.
For example, if (a,b) = (3,5), after applying this operation, the pair becomes (3,8).
This operation can also be performed multiple times, with the updated value of 'b' being added to 'a' each time.

These operations can be performed in any order and any number of times to modify the values of 'a' and 'b' within the pair.

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