Misformatted data #2
Description
Somehow in a sample the Outline goes from 1 to 2 and then to 10. This might be a misformatted row. Furthermore, 2 and 10 share the same outline.
Let's think in parallel.
<Parallel>
<Goal>
<Outline>
1: Determination of the value of τ(n) that allows Jason to uniquely identify n from the set {10,20,30,40,50}, considering Kelly's prior statements.
</Outline>
<Outline>
2: Empty path placeholder due to prior merging of content.
</Outline>
<Outline>
10: Empty path placeholder due to prior merging of content.
</Outline>
</Goal>
<Path>
1: Jason's statement "Oh, then I know what n is" follows Kelly's assertions. Kelly's assertions informed Jason that n's unit digit leads to multiple candidates for her (so τ(n) isn't globally unique for those candidates), and that n must be a composite number with at least two distinct prime factors. Jason, possessing knowledge of τ(n) even before Kelly spoke, can utilize her statement to refine his possibilities for n. Jason understands from Kelly's statement's implications that n must have a unit digit of 0 (as only unit digit 0 ensures all numbers are composite with at least two distinct primes) and thus has at least two distinct prime factors. Knowing τ(n) and that n belongs to the set of numbers with unit digit 0 {10, 20, 30, 40, 50}, Jason can check if his τ(n) uniquely identifies n within this group.
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