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Thomson and Old Dengen are both smiling, staring at the beginning of the proof, and making a comment together, "The introduction is very detailed; he at least knows what the Hail (Collatz) Conjecture is."
"That's right, the description is very clear."
Continue.
"The method of using binary conversion is quite novel, but the process of the description is a bit messy."
"Are all these conversion numbers correct?" Old Dengen asked.
"There's no problem here."
Thomson said somewhat proudly, "Don't you remember? When I was in college, I was a famous computing genius!"
"You're right." Old Dengen nodded approvingly.
Continue.
"This step is quite interesting, constructing a numerical graph of 0s and 1s after binary computation."
"Indeed, it's just a bit messy!"
"It's too messy!"
Difficulty increased.