Question: Suppose you have two Bloom filters B_1 and B_2 encoding unknown sets S_1 and S_2 of integers between 1 and n. How would you compute

Suppose you have two Bloom filters B_1 and B_2 encoding unknown sets S_1 and S_2 of integers between 1 and n. How would you compute the Bloom filter representing the following. Write "not generally possible" if it is not generally possible to compute this with the given knowledge (you may assume the Bloom filters are of the same length): a. The intersection S_1 S_2. b. The union S_1 U S_2. c. The mutual difference of S_1 and S_2 (i.e. those elements in one set but not the other). d. The complement of S_1
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