Initial Query

Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19

LLM Generation

Query

Output

Sure, here is a simple program that generates the first 20 prime numbers and stores them in memory cells 0 to 19.

SET R1 2 ; Start with the first prime number
SET R2 0 ; Counter for prime numbers

LOOP:
    INC R2 ; Increment prime number counter
    SET R3 0 ; Flag for prime check
    SET R4 2 ; Start checking divisibility from 2

CHECK:
    MOD R1 R4 ; Check if R1 is divisible by R4
    JF PRIME ; If not, it's a prime number
    INC R4 ; Increment divisor
    JMP CHECK_END ; Check if we need to continue checking

PRIME:
    LOAD R5 R2 ; Load the current prime number
    STORE R5 R2 ; Store it in memory
    INC R1 ; Increment potential prime number
    JMP LOOP ; Go to the next potential prime number

CHECK_END:
    EQ R4 R1 ; Check if we've reached the potential prime number itself
    JF LOOP ; If not, continue checking
    JMP PRIME ; If yes, it's a prime number

END:
    EQ R2 20 ; Check if we've found 20 prime numbers
    JF LOOP ; If not, continue searching
    HCF ; Stop the program

This program uses a simple algorithm to check for prime numbers: it divides each potential prime number by all numbers less than it. If it finds a divisor, it's not a prime number. If it doesn't, it is. The program stops when it has found 20 prime numbers.

Extract Code

I extracted the following code from that output:

SET R1 2 ; Start with the first prime number
SET R2 0 ; Counter for prime numbers

LOOP:
    INC R2 ; Increment prime number counter
    SET R3 0 ; Flag for prime check
    SET R4 2 ; Start checking divisibility from 2

CHECK:
    MOD R1 R4 ; Check if R1 is divisible by R4
    JF PRIME ; If not, it's a prime number
    INC R4 ; Increment divisor
    JMP CHECK_END ; Check if we need to continue checking

PRIME:
    LOAD R5 R2 ; Load the current prime number
    STORE R5 R2 ; Store it in memory
    INC R1 ; Increment potential prime number
    JMP LOOP ; Go to the next potential prime number

CHECK_END:
    EQ R4 R1 ; Check if we've reached the potential prime number itself
    JF LOOP ; If not, continue checking
    JMP PRIME ; If yes, it's a prime number

END:
    EQ R2 20 ; Check if we've found 20 prime numbers
    JF LOOP ; If not, continue searching
    HCF ; Stop the program

PyFunc

invalid literal for int() with base 10: ';' Resulting in output: False

Initial Query

LLM Generation

Query

Output

Here's a program that generates the first 20 prime numbers and stores them in memory cells 0 to 19:

start:
  SET R1 2       ; R1 will be used as a counter for the number of primes found
  SET R2 2       ; R2 will be used as the current number being tested for primality
  SET R3 0       ; R3 will be used to store the flag for checking primality

loop:
  SET R4 2       ; R4 will be used as the divisor

check_primality:
  EQ R4 R2
  JT is_prime    ; If R4 equals R2, it's prime
  MOD R2 R4
  JF not_prime   ; If R2 % R4 == 0, it's not prime
  INC R4         ; Increment the divisor
  JMP check_primality

is_prime:
  LOAD R5 R1     ; Load the value from the memory cell indexed by R1
  EQ R5 0        ; Check if the memory cell is empty
  JT store_prime ; If the memory cell is empty, store the prime number
  INC R2         ; Increment the current number being tested
  JMP loop       ; Go back to the loop to test the next number

not_prime:
  INC R2         ; Increment the current number being tested
  JMP loop       ; Go back to the loop to test the next number

store_prime:
  STORE R2 R1    ; Store the prime number in the memory cell indexed by R1
  INC R1         ; Increment the counter for the number of primes found
  LOAD R3 R1     ; Load the value from the memory cell indexed by R1
  EQ R3 20       ; Check if we've found 20 prime numbers
  JT end         ; If so, stop the program
  INC R2         ; Increment the current number being tested
  JMP loop       ; Go back to the loop to test the next number

end:
  HCF            ; Stop the program with pizzazz

This program starts by initializing R1 to 2, which is the first prime number. It then enters a loop where it tests each number for primality. If a number is prime, it checks if the corresponding memory cell is empty and stores the prime number in that cell. If a number is not prime, it increments the current number being tested and continues the loop. The loop ends when 20 prime numbers have been found and stored in memory cells 0 to 19.

Extract Code

I extracted the following code from that output:

start:
  SET R1 2       ; R1 will be used as a counter for the number of primes found
  SET R2 2       ; R2 will be used as the current number being tested for primality
  SET R3 0       ; R3 will be used to store the flag for checking primality

loop:
  SET R4 2       ; R4 will be used as the divisor

check_primality:
  EQ R4 R2
  JT is_prime    ; If R4 equals R2, it's prime
  MOD R2 R4
  JF not_prime   ; If R2 % R4 == 0, it's not prime
  INC R4         ; Increment the divisor
  JMP check_primality

is_prime:
  LOAD R5 R1     ; Load the value from the memory cell indexed by R1
  EQ R5 0        ; Check if the memory cell is empty
  JT store_prime ; If the memory cell is empty, store the prime number
  INC R2         ; Increment the current number being tested
  JMP loop       ; Go back to the loop to test the next number

not_prime:
  INC R2         ; Increment the current number being tested
  JMP loop       ; Go back to the loop to test the next number

store_prime:
  STORE R2 R1    ; Store the prime number in the memory cell indexed by R1
  INC R1         ; Increment the counter for the number of primes found
  LOAD R3 R1     ; Load the value from the memory cell indexed by R1
  EQ R3 20       ; Check if we've found 20 prime numbers
  JT end         ; If so, stop the program
  INC R2         ; Increment the current number being tested
  JMP loop       ; Go back to the loop to test the next number

end:
  HCF            ; Stop the program with pizzazz

PyFunc

list index out of range Resulting in output: False

Initial Query

LLM Generation

Query

Output

Sure, here is a simple program that generates the first 20 prime numbers and stores them in memory cells 0 to 19.

start:
    SET R1 2            ; R1 is the current number to check for primality
    SET R2 0            ; R2 is the count of prime numbers found
    SET R3 0            ; R3 is the current memory cell to store a prime number

loop:
    SET R4 2            ; R4 is the divisor to check R1
    SET R5 1            ; R5 is the flag for primality (1 if prime, 0 if not)

check_divisor:
    EQ R4 R1
    JT is_prime         ; if R4 >= R1, then R1 is prime
    MOD R1 R4
    EQ R0 0
    JT not_prime        ; if R1 % R4 == 0, then R1 is not prime
    INC R4
    JMP check_divisor

is_prime:
    STORE R1 R3         ; store the prime number in memory
    INC R3              ; move to the next memory cell
    INC R2              ; increment the count of prime numbers found
    EQ R2 20
    JT end              ; if we have found 20 prime numbers, then end
    INC R1              ; move to the next number
    JMP loop

not_prime:
    SET R5 0            ; set the flag to indicate that R1 is not prime
    INC R1              ; move to the next number
    JMP loop

end:
    HCF                 ; stop the program

This program uses a simple algorithm to check for primality: it divides the current number by all smaller numbers, and if none of them divide evenly, then the number is prime. It stores each prime number in the next memory cell, and stops after it has found 20 prime numbers.

Extract Code

I extracted the following code from that output:

start:
    SET R1 2            ; R1 is the current number to check for primality
    SET R2 0            ; R2 is the count of prime numbers found
    SET R3 0            ; R3 is the current memory cell to store a prime number

loop:
    SET R4 2            ; R4 is the divisor to check R1
    SET R5 1            ; R5 is the flag for primality (1 if prime, 0 if not)

check_divisor:
    EQ R4 R1
    JT is_prime         ; if R4 >= R1, then R1 is prime
    MOD R1 R4
    EQ R0 0
    JT not_prime        ; if R1 % R4 == 0, then R1 is not prime
    INC R4
    JMP check_divisor

is_prime:
    STORE R1 R3         ; store the prime number in memory
    INC R3              ; move to the next memory cell
    INC R2              ; increment the count of prime numbers found
    EQ R2 20
    JT end              ; if we have found 20 prime numbers, then end
    INC R1              ; move to the next number
    JMP loop

not_prime:
    SET R5 0            ; set the flag to indicate that R1 is not prime
    INC R1              ; move to the next number
    JMP loop

end:
    HCF                 ; stop the program

PyFunc

list index out of range Resulting in output: False

Initial Query

LLM Generation

Query

Output

Sure, here's a simple program that generates the first 20 prime numbers and stores them in memory cells 0 through 19. This program uses a basic algorithm to check for prime numbers: it iterates from 2 to the square root of the number and checks if any of these numbers divide the number in question.

start:
    SET R1 2     ; R1 is the current number to check
    SET R2 0     ; R2 is the count of prime numbers found

loop:
    SET R3 2     ; R3 is the divisor

is_prime:
    DIV R1 R3    ; R1 / R3
    MOD R4 R1    ; R1 % R3
    EQ R4 0      ; If R4 == 0, R1 is not prime
    JT not_prime ; Jump to not_prime if R1 is not prime
    INC R3       ; Increment R3
    MUL R3 R3    ; R3 * R3
    LT R5 R1     ; If R3 * R3 > R1, R1 is prime
    JF is_prime  ; Jump to is_prime if R3 * R3 <= R1

prime:
    STORE R1 R2  ; Store R1 (prime number) in memory cell R2
    INC R2       ; Increment R2 (count of prime numbers)
    EQ R2 20     ; If R2 == 20, we've found 20 prime numbers
    JT end       ; Jump to end if we've found 20 prime numbers
    INC R1       ; Increment R1 (next number to check)
    JMP loop     ; Jump to loop to check the next number

not_prime:
    INC R1       ; Increment R1 (next number to check)
    JMP loop     ; Jump to loop to check the next number

end:
    HCF          ; Stop the program

This program starts by setting R1 to 2 and R2 to 0. It then enters a loop where it checks if R1 is prime by iterating from 2 to the square root of R1 and checking if any of these numbers divide R1. If R1 is prime, it stores R1 in memory cell R2 and increments R2. If R2 is 20, it means we've found 20 prime numbers and the program ends. If R1 is not prime, it simply increments R1 and continues the loop.

Extract Code

I extracted the following code from that output:

start:
    SET R1 2     ; R1 is the current number to check
    SET R2 0     ; R2 is the count of prime numbers found

loop:
    SET R3 2     ; R3 is the divisor

is_prime:
    DIV R1 R3    ; R1 / R3
    MOD R4 R1    ; R1 % R3
    EQ R4 0      ; If R4 == 0, R1 is not prime
    JT not_prime ; Jump to not_prime if R1 is not prime
    INC R3       ; Increment R3
    MUL R3 R3    ; R3 * R3
    LT R5 R1     ; If R3 * R3 > R1, R1 is prime
    JF is_prime  ; Jump to is_prime if R3 * R3 <= R1

prime:
    STORE R1 R2  ; Store R1 (prime number) in memory cell R2
    INC R2       ; Increment R2 (count of prime numbers)
    EQ R2 20     ; If R2 == 20, we've found 20 prime numbers
    JT end       ; Jump to end if we've found 20 prime numbers
    INC R1       ; Increment R1 (next number to check)
    JMP loop     ; Jump to loop to check the next number

not_prime:
    INC R1       ; Increment R1 (next number to check)
    JMP loop     ; Jump to loop to check the next number

end:
    HCF          ; Stop the program

PyFunc

invalid literal for int() with base 10: ';' Resulting in output: False

Initial Query

LLM Generation

Query

Output

Here's an assembly language program that generates the first 20 prime numbers and stores them in memory cells 0 to 19:

start:
  SET R1 2           ; R1 = 2 (first prime number)
  SET R2 0           ; R2 = 0 (counter for prime numbers)
  SET R3 1           ; R3 = 1 (starting value to check for primality)

loop:
  INC R3             ; Increment R3 by 1
  SET R4 2           ; R4 = 2 (starting divisor)

is_prime:
  DIV R3 R4          ; R3 / R4
  MOD R5 R3 R4       ; R5 = R3 % R4
  EQ R6 R5 0         ; R6 = (R5 == 0) ? 1 : 0
  JT not_prime       ; If R5 == 0, jump to not_prime
  INC R4             ; Increment R4 by 1
  LT R7 R4 R3       ; R7 = (R4 < R3) ? 1 : 0
  JF is_prime        ; If R4 < R3, jump to is_prime

store_prime:
  LOAD R5 R2         ; Load previous prime number from memory
  MUL R5 R1          ; Multiply by the first prime number
  SUB R6 R3 R5       ; R6 = R3 - R5
  EQ R7 R6 0         ; R7 = (R6 == 0) ? 1 : 0
  JT skip_store      ; If R6 == 0, jump to skip_store
  STORE R3 R2        ; Store R3 (prime number) in memory cell R2
  INC R2             ; Increment R2 (prime number counter)

skip_store:
  LTE R8 R2 19       ; R8 = (R2 <= 19) ? 1 : 0
  JF end             ; If R2 > 19, jump to end
  JMP loop           ; Jump to loop

not_prime:
  JMP loop           ; Jump to loop

end:
  HCF                ; Stop the program

This program uses a simple algorithm to generate prime numbers: it checks each number for divisibility starting from 2, and if it's not divisible by any number up to its square root, it's considered prime. The program also skips multiples of the first prime number (2) to optimize the process.

Extract Code

I extracted the following code from that output:

start:
  SET R1 2           ; R1 = 2 (first prime number)
  SET R2 0           ; R2 = 0 (counter for prime numbers)
  SET R3 1           ; R3 = 1 (starting value to check for primality)

loop:
  INC R3             ; Increment R3 by 1
  SET R4 2           ; R4 = 2 (starting divisor)

is_prime:
  DIV R3 R4          ; R3 / R4
  MOD R5 R3 R4       ; R5 = R3 % R4
  EQ R6 R5 0         ; R6 = (R5 == 0) ? 1 : 0
  JT not_prime       ; If R5 == 0, jump to not_prime
  INC R4             ; Increment R4 by 1
  LT R7 R4 R3       ; R7 = (R4 < R3) ? 1 : 0
  JF is_prime        ; If R4 < R3, jump to is_prime

store_prime:
  LOAD R5 R2         ; Load previous prime number from memory
  MUL R5 R1          ; Multiply by the first prime number
  SUB R6 R3 R5       ; R6 = R3 - R5
  EQ R7 R6 0         ; R7 = (R6 == 0) ? 1 : 0
  JT skip_store      ; If R6 == 0, jump to skip_store
  STORE R3 R2        ; Store R3 (prime number) in memory cell R2
  INC R2             ; Increment R2 (prime number counter)

skip_store:
  LTE R8 R2 19       ; R8 = (R2 <= 19) ? 1 : 0
  JF end             ; If R2 > 19, jump to end
  JMP loop           ; Jump to loop

not_prime:
  JMP loop           ; Jump to loop

end:
  HCF                ; Stop the program

PyFunc

invalid literal for int() with base 10: ';' Resulting in output: False