(efficient power) last assignment, we had a function able to calculate the power by multiplying every time the base, which leads to the following oz function: declare fun {power n m} if m == 0 then 1 else n * {power n m-1} end end for example, {power 2 8} returns 256 after 8 recursive calls. the complexity of this function is o(m), since there are m recursive calls, each responsible for one multiplication operation. write a computation may be done using only 3 multiplications, namely 2more efficient version of power, by reusing the intermediate results. for example, the previous 2=2*2, 24=(22)*(22), 28=(24)*(24). what will be the complexity of this efficient algorithm?

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Ihave a music player on my phone. i can buy songs, add them to playlists and play them. obviously it would be redundant to store each song in each playlist; each playlist is just a list of pointers to the songs. for this lab you will simulate this behavior. your program will need to have options to: add songs to the system library (you will store the text of the first line of the song, rather than the audio) add playlists add songs to a playlist list playlists play a playlist list all of the songs in the library with a count of how many times each song has been played remove a song from a playlist remove a playlist remove a song from the library (and thus from all playlists that contain it) note that we will not be checking many error cases. in real programming this would be bad, you should usually try to recognize and respond to as many types of errors as you can. in the context of class we are trying to acquaint you with as many concepts as possible, so for the sake of educational efficiency we will not be checking most errors in this lab, you may assume that your user provides correct input. you may add all appropriate error testing if you wish, but we will not be testing for it.

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