Question: This question from introduction to modern cryptography book Show how to find a collision in the Merkle tree construction if t is not fixed. Specifically,

This question from introduction to modern cryptography book

Show how to find a collision in the Merkle tree construction if t is not fixed. Specifically, show how to find two sets of inputs x1, ..., xt and x1, ..., x2t, such that MTt(x1, ..., xt) = MT2t(x1, ..., x2t).

Can you design an approach to fix the problem and have variable-length collision resistant Merkle tree?

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