To show that a TMFbehaves like a reduction fromAtoB, you need to show thatw∈Aif and only if f(w)∈B where f(w) is the output of running F on input w.

To Show that the TMF below is a reduction from ATM to EQTM

F="On input〈M, w〉where M is a TM and w is a string:
1.Construct a TM M1 as follows:
M1="On input x
1.accept"
2.Construct a TM M2as follows:
M1="On inputx
1.Run M on input w
2.If Maccepts w, accept.
If M rejects w, reject."
3.Output〈M1, M2=

When creating a budget, log fixed expenses before income. after income. after savings. at the top.

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).

The head restraint should be adjusted so that it reaches a.the top of your ears b.the base of your skull c.the top of the head