Suppose that you have an N-story building and plenty of eggs. Suppose also that an egg is broken if it is thrown off floor F or higher, and unbroken otherwise. First, devise a strategy to determine the value of F such that the number of broken eggs is ~ lg N when using ~ lg N throws, then find a way to reduce the cost to ~ 2 lg F when N is much larger than F.

Write a new lc-3 trap subroutine (i. e. a subroutine that will be invoked via the trap instruction) that will receive a numeric digit entered at the keyboard (i. e. an ascii character), echo it to the screen, and return in r0 the corresponding numeric value: so if the user types the digit '7', the character '7' will appear on the screen, but the value returned in r0 will be b0000 0000 0000 0111 (#7) you may not use any trap calls in your code - you must implement the "polling" code that interrogates the keyboard status and data registers. ; getnum_tsr ; a subroutine for obtaining a numeric value ; given ascii numeric digit input to keyboard. ; the numeric digit is echoed to the console (e. g. '7' = b0000 0000 0011 0111), ; but the value returned in r0 is the actual numeric value ; corresponding to the digit (e. g. b0000 0000 0000 0111 =