python code. instructions are given below. Run function is already done. 1) def binary_search_rec(x, t, start, end): """ Return the left most index of x if x is in t indexed between [start, end] inclusive Otherwise return -1 You may assume that both start and end are valid index for t. Use Recursion, Do Not Use loops Your algorithm should be logarithmic to number of elements between [start, end] regardless of how many duplicates of x is. """ return 0   2) def binary_search_loop(x, t, start, end): """ Return the left most index of x if x is in t indexed between [start, end] inclusive Otherwise return -1 You may assume that both start and end are valid index for t. Use loop, Do Not Use Recursion Your algorithm should be logarithmic to number of elements between [start, end] regardless of how many duplicates of x is. """ return 0

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Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.