In a certain country, there are $2023$ islands and $2022$ bridges. Each bridge connects two different islands, and any two islands share at most one bridge. It is possible to travel from any island to any other island using these bridges. If, among any three islands, there exists an island connected by bridges to each of the other two islands, these three islands form an "island group." It is known that any two "island groups" share at least one common island. What is the minimum number of islands with only one bridge connected to it?

Let's think step by step and output the final answer within \boxed{}.
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