The following LC-3 program checks if the integer stored at memory location "x5000".....

The following LC-3 program checks if the integer stored at memory location "x5000" is divisible by 3. If yes, it stores the value 1 at memory location "x5001", else it does nothing. Assume all the registers and the memory location "x5001" have an initial value of 0. a) Fill in the missing instructions of the code. Suggestion: Verify your solution by running it in PennSim. 0011 0000 0000 0000 ; Progrma starts at x3000 (i) _________; Load value at x5000 into R0 (ii) __________ ; Initialize R1 to 3 (iii) __________ ; LOOP: calculate R0 - R1 (iv) _________; Branch if positive to LOOP (v) _________ ; Branch if negative to HALT (vi) __________ Initialize R2 to 1 (vii) ___________; store R2 to x5001 1111 0000 0010 0101 ; HALT 0101 0000 0000 0000 ; DATA: x5000 (viii) ___________ ; DATA2: x5001 b) After the above program finishes execution, a value of 0 would mean that the integer at x5000 is not a multiple of 3. Does this program correctly identify all integers which are multiples of 3? If not, specify the integer(s) for which the program doesn't work, and why it does not work for those value(s). c) Briefly explain how you can fix the bug(s) identified in part b) ? Mention the names of the LC3 instructions, you would use to fix the bug