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title: '"Because 5 digits is equal to 2, 2.5 digits.\n\n(B..."',
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anchorContext: 'As you can see, when splitting an $n$\\-digit, the fair split occurs at the largest whole number $x$ such that $x \\cdot x \\le n$, in which case we both get to record one $x$\\-message\\. This is why it is 316, and not 500, that can most naturally be seen as "about 2\\.5 decimal digits long:" The number that is 2\\.5 decimal digits long is the largest number $x$ such that, given five digits, both you and I can use those 5 digits to store independent $x$\\-messages\\. If you store a 500\\-message, that only leaves enough space for me to store a 200\\-message\\. If you only store a 300\\-message, that leaves enough space for me to store a 333\\-message\\. $x=316$ is the point where we can both store an $x$\\-message, because 316 is the largest whole number such that $x^2 \\le 100000.$',
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text: 'Because 5 digits is equal to 2, 2.5 digits.\n\n(By the way, it would be good if there were a way for me to take notes, on the text that didn't require me to spam the comments section.)',
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