A. formulate a related decision problem for the independent-set problem, and prove that it is np-complete. (hint: reduce from the clique problem.)
b. suppose that you are given a "black-box" subroutine to solve the decision prob- lem you defined in part (a).
give an algorithm to find an independent set of max- imum size. the running time of your algorithm should be polynomial in jv j and jej, counting queries to the black box as a single step.

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.

Can online classes such as gradpoint track your ip location like if im taking a final and i give somebody else my account and they take the final for me will it show where they are taking the final from? and can this be countered with a vpn

How might the success of your campaign be affected if you haven’t carefully completed all field data or if you accidentally insert the wrong merge field in the document?