Research Collatz odd sequence, change $(\times 3+1)\div2^k$ operation in Collatz Conjecture to $(\times 3+2^m-1)\div2^k$ operation. Expand loop Collatz odd sequence(if exists) in $(\times 3+2^m-1)\div2^k$ odd sequence to become $\infty$ steps non-loop sequence. Build $(\times 3+2^m-1)\div2^k$ odd tree model and transform position model for odds in tree.Via comparing actual and virtual positions, prove if a $(\times 3+2^m-1)\div2^k$ odd sequence can not converge after infinite steps of $(\times 3+2^m-1)\div2^k$ operation, the sequence must walk out of boundary of the tree.
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Subject: Computer Science and Mathematics - Signal Processing
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