# Inspired by Maggie Miller

You have a large jar filled with colored marbles. It contains $$2013 \,\color{Blue}{\text{blue}}$$ marbles, $$2014\,\color{Red}{\text{red}}$$ marbles, $$2015\,\color{Orange}{\text{orange}}$$ marbles, $$2013 \,\color{#CCCC00}{\text{yellow}}$$ marbles, $$2014\,\color{Purple}{\text{purple}}$$ marbles, and $$2015\,\color{Green}{\text{green}}$$ marbles.

You draw four marbles out of the jar, then put three marbles in (decreasing the total number of marbles in the jar by one) using the following rule:

• If the four marbles are $$1\,\color{Blue}{\text{blue}}$$ marble, $$2\,\color{Red}{\text{red}}$$ marbles and $$1\,\color{Orange}{\text{orange}}$$ marble, put $$2\,\color{#CCCC00}{\text{yellow}}$$ marbles and $$1\,\color{Green}{\text{green}}$$ marble into the jar.

• If the four marbles are $$2\,\color{Orange}{\text{orange}}$$ marbles and $$2\,\color{Purple}{\text{purple}}$$ marbles, put $$1\,\color{Red}{\text{red}}$$ marble, $$1\,\color{#CCCC00}{\text{yellow}}$$ marble and $$1\,\color{Green}{\text{green}}$$ marble into the jar.

• If the four marbles are $$3\,\color{Green}{\text{green}}$$ marbles and $$1\,\color{Red}{\text{red}}$$ marble, put $$1\,\color{Blue}{\text{blue}}$$ marble, $$1\,\color{#CCCC00}{\text{yellow}}$$ marble and $$1\,\color{Purple}{\text{purple}}$$ marble into the jar.

• If the four marbles are $$2\,\color{#CCCC00}{\text{yellow}}$$ marbles and $$2\,\color{Green}{\text{green}}$$ marbles, put $$1\,\color{Red}{\text{red}}$$ marble, $$1\,\color{Orange}{\text{orange}}$$ marble and $$1\,\color{Purple}{\text{purple}}$$ marble into the jar.

• If the four marbles are $$3\,\color{Purple}{\text{purple}}$$ marbles and $$1\,\color{#CCCC00}{\text{yellow}}$$ marble, put $$1\,\color{Blue}{\text{blue}}$$ marble and $$2\,\color{Green}{\text{green}}$$ marbles into the jar.

• If the four marbles are $$4\,\color{Green}{\text{green}}$$ marbles, put $$2\,\color{Orange}{\text{orange}}$$ marbles and $$1\,\color{Blue}{\text{blue}}$$ marble into the jar.

• In all other scenarios, return all four marbles into the jar.

Repeat this process until one marble remains. What color is it?

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