From a list of participants’ ids, find which id is missing from the list. The participant ids sorted in ascending order with a certain difference. a. Design your algorithm in pseudocode with the complexity of O (log n)! (PS: use divide and conquer algorithm) b. Do an analysis for your algorithm resulting in an asymptotic notation! c. Prove that your algorithm is correct and create your own input/output for 3 cases, and the minimum number of ids for each case is 15!

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Problems on numbers

Number theory is one of the most appealing topics in mathematics. Given one or more numeric values, a numeric algorithm performs some computation. The use of number theory in computing is important for applications like in the case of cryptographic algorithms. Number theory is also used in various applications such as calculating hash functions or in information security. Euclid’s algorithm is one of the oldest number-theoretic algorithms which is used to calculate the greatest common divisor of two numbers.