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How to I show that any language in NTIME(T(n)) can be accepted by a non-deterministic 2-tape O(T(n)) time-bounded Turing machine, with modifiable input tape?

I've seen the k to 2 tape reduction for deterministic Turing machines, which increase the running time by a logarithmic factor, but I'm not sure if I can modify that to help me prove the above statement.

Raphael
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Thomas
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