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When a new node is inserted to the end of a linked list, will head and tail be changed? If the list is empty before

When a new node is inserted to the end of a linked list, will head and tail be changed?
If the list is empty before the insertion, both head and tail will change.
If the list is not empty before the insertion, tail will change.
head may change, but tail will always change.
All of the above.

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