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anchorContext: 'However, it becomes more worth it the more 10\\-digits we're splitting\\. You might expect that, when splitting three digit wheels, we'd each get one digit wheel plus a 3\\-message \\(on the third wheel\\)\\. However, we can actually do better than that\\! If you pick a number $a$ between 0 and 30 \\(for a total of 31 different possibilities\\), and I pick a number $b$ between 0 and 30, then the number $31a + b$ can always be stored on 3 digit wheels \\(because it's always less than $31\\cdot 30 + 30 = 960$\\), so if we're splitting three digit wheels, we can actually eek out one "pseudo 31\\-digit" each\\. This still isn't maximally efficient \\(the values from 961 to 999 are wasted\\), but it's a little better\\. And if we split five digit wheels, we each get to use one 316\\-digit \\(as you can verify\\)\\.',
anchorText: 'However, it becomes more worth it the more 10\\-digits we're splitting\\. You might expect that, when splitting three digit wheels, we'd each get one digit wheel plus a 3\\-message \\(on the third wheel\\)\\. However, we can actually do better than that\\! If you pick a number $a$ between 0 and 30 \\(for a total of 31 different possibilities\\), and I pick a number $b$ between 0 and 30, then the number $31a + b$ can always be stored on 3 digit wheels \\(because it's always less than $31\\cdot 30 + 30 = 960$\\), so if we're splitting three digit wheels, we can actually eek out one "pseudo 31\\-digit" each\\. This still isn't maximally efficient \\(the values from 961 to 999 are wasted\\), but it's a little better\\. And if we split five digit wheels, we each get to use one 316\\-digit \\(as you can verify\\)\\.',
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