Solution to Vile Voting

We wanted to find the standings and satisfaction of Brutus and Craw’s vote. Brutus will vote Red, Orange, Yellow, Purple, Blue, Green. Then Craw moves his extremes to the middle to vote Blue, Purple, Green, Red, Yellow, Orange. Now Brutus moves his extremes to the middle to get Orange, Yellow, Red, Green, Purple, Blue. It will never end! Serves them right.

Table \space of \space votes\\[8pt] \begin{matrix} &\#1&\#2&\#3&\#4&\#5&\#6\\ B_1&R&O&Y&P&B&G\\ C_1&B&G&P&R&Y&O\\ B_2&Y&R&O&G&P&B\\ C_1&G&P&B&O&R&Y\\ \end{matrix}

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