efficiency of string operations most of the string operations have time-complexity that is proportional to the length of the string for most problems that do not involve string processingstring operations seldom have an impact on the run time of an algorithm thusin the textwe assume the string operationsincluding the use of the print(functiononly require constant timeunless explicitly stated otherwise note the time required to execute loop depends on the number of iterations performed and the time needed to execute the loop body during each iteration in this casethe loop will be executed times and the loop body only requires constant time since it contains single basic instruction (note that the underlying mechanism of the for loop and the range(function are both ( we can compute the time required by the loop as (nn for result of (nbut what about the other statements in the functionthe first line of the function and the return statement only require constant time rememberit' common to omit the steps that only require constant time and instead focus on the critical operationsthose that contribute to the overall time in most instancesthis means we can limit our evaluation to repetition and selection statements and function and method calls since those have the greatest impact on the overall time of an algorithm since the loop is the only non-constant stepthe function ex (has run time of (nthat means the statement ex (nfrom earlier requires linear time nextconsider the following functionwhich includes two for loopsdef ex )count for in rangen count + for in rangen count + return count to evaluate the functionwe have to determine the time required by each loop the two loops each require (ntime as they are just like the loop in function ex (earlier if we combine the timesit yields (nn for result of (nquadratic time examples when presented with nested loopssuch as in the followingthe time required by the inner loop impacts the time of the outer loop def ex )count for in rangen for in rangen count + return count