Question: 1- What is the smallest possible depth of a leaf in a decision tree for a comparison sort? 2- Prove that is no comparison-based sorting

1- What is the smallest possible depth of a leaf in a decision tree for a comparison sort?

2- Prove that is no comparison-based sorting algorithm whose running time is linear for a fraction of 1/(2 ⁿ) of the n! inputs of lenght n.

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