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Consider using merkle tree to digest a list of distinct

Question: Consider using Merkle tree to digest a list of distinct messages. Can Merkle digest support the merge operation of two such lists? Specifically, given listsl1 andl2, will it be possible to calculateMT(l1 ? l2) purely fromMT(l1) andMT(l2) ( ? is merging two lists)? If yes, give an example. If not, prove your claim.

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