Show how you can sort n numbers (given in a vector) using a binary heap. Your algorithm should use the heap operations. What is the (worst-case) running time of your algorithm? You should show that your time bound is tight by giving an example where your algorithm will require that much time (asymptotically). In other words, if you say that the running time of your algorithm is O(T(n)), then you should give an n-size input where the algorithm actually takes Θ(T(n)) time.

Write a modular program (no classes yet, just from what you learned last year), that allows two players to play a game of tic-tac-toe. use a two-dimensional char array with 3 rows and 3 columns as the game board. each element of the array should be initialized with an asterisk (*). the program should display the initial board configuration and then start a loop that does the following: allow player 1 to select a location on the board for an x by entering a row and column number. then redisplay the board with an x replacing the * in the chosen location. if there is no winner yet and the board is not yet full, allow player 2 to select a location on the board for an o by entering a row and column number. then redisplay the board with an o replacing the * in the chosen location. the loop should continue until a player has won or a tie has occurred, then display a message indicating who won, or reporting that a tie occurred. player 1 wins when there are three xs in a row, a column, or a diagonal on the game board. player 2 wins when there are three ox in a row, a column, or a diagonal on the game board. a tie occurs when all of the locations on the board are full, but there is no winner. input validation: only allow legal moves to be entered. the row must be 1, 2, or 3. the column must be 1, 2 3. the (row, column) position entered must currently be empty (i.e., still have an asterisk in it).

Which of the following factors would your hypothetical supervisor look at when deciding whether to test a biological material sample for dna? the amount of other evidence you have implicating a suspect in a crime the annual budget for the crime lab both of the above none of the above; you would almost always order a test

Jason works as an accountant in a department store. he needs to keep a daily record of all the invoices issued by the store. which file naming convention would him the most? a)give the file a unique name b)name the file in yymmdd format c)use descriptive name while naming the files d)use capital letters while naming the file