searching and sorting implementation the python implementation of the binary search algorithm is provided in listing the variables low and high are used to mark the range of elements in the sequence currently under consideration when the search beginsthis range is the entire sequence since the target item can be anywhere within the sequence the first step in each iteration is to determine the midpoint of the sequence if the sequence contains an even number of elementsthe mid point will be chosen such that the left sequence contains one less item than the right figure illustrates the positioning of the lowhighand mid markers as the algorithm progresses listing implementation of the binary search algorithm def binarysearchthevaluestarget start with the entire sequence of elements low high len(thevalues repeatedly subdivide the sequence in half until the target is found while low <high find the midpoint of the sequence mid (high low/ does the midpoint contain the targetif thevalues[mid=target return true or does the target precede the midpointelif target thevalues[midhigh mid or does it follow the midpointelse low mid if the sequence cannot be subdivided furtherwe're done return false after computing the midpointthe corresponding element in that position is examined if the midpoint contains the targetwe immediately return true otherwisewe determine if the target is less than the item at the midpoint or greater if it is lesswe adjust the high marker to be one less than the midpoint and if it is greaterwe adjust the low marker to be one greater than the midpoint in the next iteration of the loopthe only portion of the sequence considered are those elements between the low and high markersas adjusted this process is repeated until the item is found or the low marker becomes greater than the high marker this condition occurs when there are no items left to be processedindicating the target is not in the sorted sequence run time analysis to evaluate the efficiency of the the binary search algorithmassume the sorted sequence contains items we need to determine the maximum number of times the