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1. The 3-Partition problem is defined as follows. Given a finite set A of 3m elements, a bound B ? Z+ (a positive integer) and a size s(a) ? Z+ for each element a ? A such that s(a) satisfies the following inequalities: B/4 < s(a) < B/2 and such that
a?A∑ s(a) = mB.
Can A be partitioned into m disjoint sets S1, S2, ..., Sm such that, for 1 ≤ i ≤ m,
a?S∑ s(a) = B?
Describe a nondeterministic polynomial time algorithm for this problem.
(c) How would you go about proving that the above two problems are indeed NP-Complete?
(d) If Professor Weise arrives at describing a deterministic polynomial algorithm for any of the above problems, what conclusions would you draw? Justify your answer.
You are required to show evidence that you can prevent student phone numbers on the user information from being read by anyone other than Dorothy Liddleton and the appropriate section manager.
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1 using the prime p 2621and encryption key e 7 encrypt the message sweet dreams using modular exponentiation.2 what
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discuss how the national security telecommunications and information systems security policy nstissp national policies
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Below are given of ciphertext, from Affine cipher. Determine the plaintext and key. Give a clearly written description of the steps you followed to decrypt each ciphertext.
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Islamic calligraphy or Arabic calligraphy is a primary form of art for Islamic visual expression and creativity.
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