exercises for help with exercisesplease visit the sitewww wiley com/college/goodrich reinforcement - describe recursive algorithm for finding the maximum element in sequencesof elements what is your running time and space usager- draw the recursion trace for the computation of power( )using the traditional function implemented in code fragment - draw the recursion trace for the computation of power( )using the repeated squaring algorithmas implemented in code fragment - draw the recursion trace for the execution of function reverse( (code fragment on [ - draw the recursion trace for the execution of function puzzlesolve( , (code fragment )where is empty and {abcdr- describe recursive function for computing the nth harmonic numberhn ni= / - describe recursive function for converting string of digits into the integer it represents for example represents the integer - isabel has an interesting way of summing up the values in sequence of integerswhere is power of two she creates new sequence of half the size of and sets [ia[ ia[ ]for ( / if has size then she outputs [ otherwiseshe replaces with band repeats the process what is the running time of her algorithmcreativity - write short recursive python function that finds the minimum and maximum values in sequence without using any loops - describe recursive algorithm to compute the integer part of the base-two logarithm of using only addition and integer division - describe an efficient recursive function for solving the element uniqueness problemwhich runs in time that is at most ( in the worst case without using sorting - give recursive algorithm to compute the product of two positive integersm and nusing only addition and subtraction