# The Political Chameleons

There are 500 chameleons, 251 of them blue and 249 red. They are divided into 100 groups of five chameleons each. Every chameleon looks around within their group and, if outnumbered, changes their color to match the majority. Once this round of color changes is done, there are a total of $$n$$ red chameleons.

How many different values of $$n$$ can there be (for all the different ways the colors may sort themselves arbitrarily when the groups are being formed)?

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