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A team of soccer players wearing caps with unique numbers that can be negative, positive, or zero, are lined up in position 1, ... , n. Determine if there exists position, x, where there is a teammate in position x with a cap numbered x. Solve using a divide and conquer algorithm and use Master Theorem to prove time complexity, algorithm should run O(logn).
Modify the original algorithm into a new divide and conquer algorithm to determine the minimum for x such that teammate has cap numbered x. Explain the time complexity and if it is the same as part a.
Generate a divide and conquer algorithm that finds the total number of teammates who stand in position matching the number on their cap. Prove the algorithm finds the right number with runtime analysis.
The program takes in two double variables (for a and b) and returns the solution. (Note: a !=0). Please provide the authentic solution of this problem.
Write a program that computes the array B by computing the natural logarithm of all the elements of A whose value is no less than 1, and adding 20 to all the other elements
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