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a) The world is facing so much challenges and computers are set to

resolve most of those challenges through various forms including artificial intelligence. Explain algorithm in field of computer science and engineering and how it can help resolve those challenges. Explain at least 3 specific areas where such algorithms can be applied and state their expected results. 
 
b) Discuss with appropriate examples the concepts of digital signature and its relevance in business transactions in the 21st century. 
 
c) Thoroughly explain the concept of public keys vis-à-vis private keys in cryptography 

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