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The measures of length in ancient Rome included the $pes$ , the $passus$ and the $stadium$. $5 \; pedes= 1 \; passus$, $125 \; passus= 1 \; stadium$. The atrium (courtyard) of Marcus' home was a square with each side $50 \; pedes$ long. How many times did Marcus have to walk round his atrium to complete his daily exercise of $8 \; stadia$? Write your answer in Roman numerals.


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This problem is taken from the UKMT Mathematical Challenges.
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