algorithm analysis at first glanceit appears the loop will execute timeswhere is the size of the list but notice the return statement inside the loopwhich can cause it to terminate early if the list does not contain negative valuel findnegl the return statement inside the loop will not be executed and the loop will terminate in the normal fashion from having traversed all times in this casethe function requires (ntime this is known as the worst case since the function must examine every value in the list requiring the most number of steps now consider the case where the list contains negative value in the first elementl - findnegl there will only be one iteration of the loop since the test of the condition by the if statement will be true the first time through and the return statement inside the loop will be executed in this casethe findneg(function only requires ( time this is known as the best case since the function only has to examine the first value in the list requiring the least number of steps the average case is evaluated for an expected data set or how we expect the algorithm to perform on average for the findneg(functionwe would expect the search to iterate halfway through the list before finding the first negative valuewhich on average requires / iterations the average case is more difficult to evaluate because it' not always readily apparent what constitutes the average case for particular problem in generalwe are more interested in the worst case time-complexity of an algorithm as it provides an upper bound over all possible inputs in additionwe can compare the worst case run times of different implementations of an algorithm to determine which is the most efficient for any input evaluating the python list we defined several abstract data types for storing and using collections of data in the previous the next logical step is to analyze the operations of the various adts to determine their efficiency the result of this analysis depends on the efficiency of the python list since it was the primary data structure used to implement many of the earlier abstract data types the implementation details of the list were discussed in in this sectionwe use those details and evaluate the efficiency of some of the more common operations summary of the worst case run times are shown in table