81 lines
5.4 KiB
HTML
81 lines
5.4 KiB
HTML
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<h2>Roman numerals</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 89</h3><span style="width:300px;color:#666;">Published on Friday, 18th February 2005, 06:00 pm; Solved by 10114</span></div>
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<p>The rules for writing Roman numerals allow for many ways of writing each number (see <a href="about=roman_numerals">About Roman Numerals...</a>). However, there is always a "best" way of writing a particular number.</p>
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<p>For example, the following represent all of the legitimate ways of writing the number sixteen:</p>
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<p style="margin-left:50px;font-family:courier new,monospace;">IIIIIIIIIIIIIIII<br />
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VIIIIIIIIIII<br />
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VVIIIIII<br />
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XIIIIII<br />
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VVVI<br />
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XVI</p>
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<p>The last example being considered the most efficient, as it uses the least number of numerals.</p>
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<p>The 11K text file, <a href="project/roman.txt">roman.txt</a> (right click and 'Save Link/Target As...'), contains one thousand numbers written in valid, but not necessarily minimal, Roman numerals; that is, they are arranged in descending units and obey the subtractive pair rule (see <a href="about=roman_numerals">About Roman Numerals...</a> for the definitive rules for this problem).</p>
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<p>Find the number of characters saved by writing each of these in their minimal form.</p>
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<p class="info">Note: You can assume that all the Roman numerals in the file contain no more than four consecutive identical units.</p>
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