### Prove that the Collatz conjecture is correct

Assuming that the Collatz conjecture is incorrect, the natural numbers can be divided into two groups, namely, set B and set H. Set B is a natural number that satisfies the Collatz conjecture, and set H does not satisfy the Collatz conjecture. After performing the Collatz operation on the numbers in the H group, it is proved that the Collatz conjecture is correct.
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