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

Here's a program that finds and stores the first 20 prime numbers in memory cells 0-19:

    SET R1 2       ; Start checking from 2
    SET R2 0       ; Memory address counter
    SET R3 0       ; Number of primes found

start:
    SET R4 2       ; Divisor start
    SET R5 1       ; Assume prime is true

check_prime:
    ; Check if R4 * R4 > R1
    MUL R6 R4 R4
    GT R7 R6 R1
    JT R7 is_prime

    ; Check if R1 is divisible by R4
    MOD R7 R1 R4
    EQ R8 R7 0
    JT R8 not_prime

    ; Try next divisor
    INC R4
    JMP check_prime

not_prime:
    SET R5 0       ; Mark as not prime

is_prime:
    ; If R5 is 1, it's prime
    EQ R7 R5 1
    JF R7 next_num

    ; Store prime and increment counters
    STORE R1 R2
    INC R2
    INC R3

next_num:
    ; Check if we've found 20 primes
    EQ R7 R3 20
    JT R7 done

    ; Move to next number
    INC R1
    JMP start

done:
    HCF

This program works as follows: 1. Start checking numbers from 2 2. For each number, check if it's prime by trying to divide it by numbers from 2 up to its square root 3. If no divisors are found, it's prime 4. Store prime numbers in memory cells 0-19 5. Stop when 20 primes have been found When run, this program will store the first 20 prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71) in memory cells 0-19.

Extract Code

I extracted the following code from that output:

SET R1 2       ; Start checking from 2
    SET R2 0       ; Memory address counter
    SET R3 0       ; Number of primes found

start:
    SET R4 2       ; Divisor start
    SET R5 1       ; Assume prime is true

check_prime:
    ; Check if R4 * R4 > R1
    MUL R6 R4 R4
    GT R7 R6 R1
    JT R7 is_prime

    ; Check if R1 is divisible by R4
    MOD R7 R1 R4
    EQ R8 R7 0
    JT R8 not_prime

    ; Try next divisor
    INC R4
    JMP check_prime

not_prime:
    SET R5 0       ; Mark as not prime

is_prime:
    ; If R5 is 1, it's prime
    EQ R7 R5 1
    JF R7 next_num

    ; Store prime and increment counters
    STORE R1 R2
    INC R2
    INC R3

next_num:
    ; Check if we've found 20 primes
    EQ R7 R3 20
    JT R7 done

    ; Move to next number
    INC R1
    JMP start

done:
    HCF

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

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

    SET R1 2      # Start with first prime number
    SET R2 0      # Memory address counter
    SET R3 20     # Number of primes to find

primes_loop:
    # Check if R1 is prime
    SET R4 2      # Divisor starts at 2
    SET R5 1      # Assume prime (R5 = is_prime flag)

check_divisor:
    # If divisor reaches R1, number is prime
    EQ R4 R1
    JT is_prime

    # Check if R1 is divisible by R4
    MOD R6 R1 R4
    EQ R6 0
    JT not_prime

    # Increment divisor and continue checking
    INC R4
    JMP check_divisor

not_prime:
    SET R5 0      # Not a prime number

is_prime:
    # If prime, store in memory
    EQ R5 1
    JF skip_store
    STORE R1 R2
    INC R2

skip_store:
    # Next number to check
    INC R1

    # Check if we've found 20 primes
    EQ R2 R3
    JF primes_loop

    HCF

This program works as follows: 1. Start checking numbers from 2 onwards 2. For each number: - Check if it's prime by trying to divide it by all numbers from 2 to itself - If no divisors found, it's prime - Store prime in memory 3. Continue until 20 primes are found The resulting memory cells (0-19) will contain the first 20 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.

Extract Code

I extracted the following code from that output:

SET R1 2      # Start with first prime number
    SET R2 0      # Memory address counter
    SET R3 20     # Number of primes to find

primes_loop:
    # Check if R1 is prime
    SET R4 2      # Divisor starts at 2
    SET R5 1      # Assume prime (R5 = is_prime flag)

check_divisor:
    # If divisor reaches R1, number is prime
    EQ R4 R1
    JT is_prime

    # Check if R1 is divisible by R4
    MOD R6 R1 R4
    EQ R6 0
    JT not_prime

    # Increment divisor and continue checking
    INC R4
    JMP check_divisor

not_prime:
    SET R5 0      # Not a prime number

is_prime:
    # If prime, store in memory
    EQ R5 1
    JF skip_store
    STORE R1 R2
    INC R2

skip_store:
    # Next number to check
    INC R1

    # Check if we've found 20 primes
    EQ R2 R3
    JF primes_loop

    HCF

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

Here's a program that finds and stores the first 20 prime numbers in memory cells 0-19:

    SET R1 2       # start checking from 2
    SET R2 0       # memory index to store primes
    SET R3 20      # count of primes to find

prime_loop:
    SET R4 2       # divisor to check
    SET R5 1       # is_prime flag

check_divisor:
    # If divisor > sqrt of R1, it's prime
    MUL R6 R4 R4   # R6 = divisor^2
    GT R7 R6 R1    
    JT R7 is_prime 

    # Check if R1 is divisible by current divisor
    MOD R8 R1 R4   
    EQ R7 R8 0     
    JT R7 not_prime

    # Try next divisor
    INC R4
    JMP check_divisor

is_prime:
    # Store prime number in memory
    STORE R1 R2
    INC R2

    # Decrement prime count
    DEC R3
    JT R3 next_num
    JMP end

not_prime:
    # Move to next number
    JMP next_num

next_num:
    INC R1
    JMP prime_loop

end:
    HCF

This program works as follows: 1. Start checking numbers from 2 2. For each number, try dividing it by numbers from 2 up to its square root 3. If no divisors are found, it's a prime number 4. Store prime numbers in memory cells 0-19 5. Stop when 20 primes have been found The first 20 prime numbers will be stored in memory cells 0-19 in sequence. Would you like me to walk through how this program finds prime numbers step by step?

Extract Code

I extracted the following code from that output:

SET R1 2       # start checking from 2
    SET R2 0       # memory index to store primes
    SET R3 20      # count of primes to find

prime_loop:
    SET R4 2       # divisor to check
    SET R5 1       # is_prime flag

check_divisor:
    # If divisor > sqrt of R1, it's prime
    MUL R6 R4 R4   # R6 = divisor^2
    GT R7 R6 R1    
    JT R7 is_prime 

    # Check if R1 is divisible by current divisor
    MOD R8 R1 R4   
    EQ R7 R8 0     
    JT R7 not_prime

    # Try next divisor
    INC R4
    JMP check_divisor

is_prime:
    # Store prime number in memory
    STORE R1 R2
    INC R2

    # Decrement prime count
    DEC R3
    JT R3 next_num
    JMP end

not_prime:
    # Move to next number
    JMP next_num

next_num:
    INC R1
    JMP prime_loop

end:
    HCF

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

Here's a program that finds and stores the first 20 prime numbers in memory cells 0-19:

    SET R1 2     # Start checking from 2
    SET R2 0     # Memory address counter
    SET R3 20    # Number of primes to find

find_primes:
    SET R4 2     # Divisor to test
    SET R5 1     # Assume prime
    
test_divisor:
    # If divisor >= number being tested, it's prime
    EQ R4 R1
    JT is_prime
    
    # Check if number is divisible
    MOD R6 R1 R4
    SET R7 0
    EQ R6 R7
    JT not_prime
    
    # Increment divisor and continue testing
    INC R4
    JMP test_divisor

not_prime:
    SET R5 0     # Mark as not prime
    
is_prime:
    # If prime, store in memory and increment counters
    EQ R5 1
    JF skip_store
    STORE R1 R2
    INC R2
    
skip_store:
    # Increment number being tested
    INC R1
    
    # Check if we've found 20 primes
    EQ R2 R3
    JF find_primes
    
    HCF  # Halt

This program works as follows: 1. Start checking numbers from 2 onwards 2. For each number: - Test divisibility by numbers from 2 up to the number itself - If divisible by any number, mark as not prime - If not divisible, mark as prime 3. If prime, store in the next available memory cell 4. Continue until 20 primes are found 5. Halt After running this program, memory cells 0-19 will contain the first 20 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.

Extract Code

I extracted the following code from that output:

SET R1 2     # Start checking from 2
    SET R2 0     # Memory address counter
    SET R3 20    # Number of primes to find

find_primes:
    SET R4 2     # Divisor to test
    SET R5 1     # Assume prime
    
test_divisor:
    # If divisor >= number being tested, it's prime
    EQ R4 R1
    JT is_prime
    
    # Check if number is divisible
    MOD R6 R1 R4
    SET R7 0
    EQ R6 R7
    JT not_prime
    
    # Increment divisor and continue testing
    INC R4
    JMP test_divisor

not_prime:
    SET R5 0     # Mark as not prime
    
is_prime:
    # If prime, store in memory and increment counters
    EQ R5 1
    JF skip_store
    STORE R1 R2
    INC R2
    
skip_store:
    # Increment number being tested
    INC R1
    
    # Check if we've found 20 primes
    EQ R2 R3
    JF find_primes
    
    HCF  # Halt

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

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

    SET R1 2      # Start checking from 2
    SET R2 0      # Memory index for storing primes
    SET R3 20     # Counter for number of primes found

check_prime:
    SET R4 2      # Divisor start
    SET R5 1      # Prime flag (assume prime)

divisor_loop:
    # Check if current divisor is less than current number
    LT R6 R4 R1
    JF not_prime  # If divisor >= number, it's prime

    # Check if number is divisible
    MOD R7 R1 R4
    EQ R8 R7 0
    JT not_prime  # If divisible, not prime

    # Increment divisor
    INC R4
    JMP divisor_loop

not_prime:
    # If divisor reached number, it's prime
    EQ R8 R4 R1
    JT store_prime

    # Not prime, move to next number
    INC R1
    JMP check_prime

store_prime:
    # Store prime number in memory
    STORE R1 R2
    INC R2

    # Increment number and decrement prime counter
    INC R1
    DEC R3
    JT check_prime  # Continue if more primes needed

    HCF  # Stop program

This program works as follows: 1. Start checking numbers from 2 2. For each number: - Try dividing by numbers from 2 up to itself - If no divisors found, it's prime - Store the prime number in consecutive memory cells 3. Stop when 20 primes are found After running, memory cells 0-19 will contain the first 20 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71.

Extract Code

I extracted the following code from that output:

SET R1 2      # Start checking from 2
    SET R2 0      # Memory index for storing primes
    SET R3 20     # Counter for number of primes found

check_prime:
    SET R4 2      # Divisor start
    SET R5 1      # Prime flag (assume prime)

divisor_loop:
    # Check if current divisor is less than current number
    LT R6 R4 R1
    JF not_prime  # If divisor >= number, it's prime

    # Check if number is divisible
    MOD R7 R1 R4
    EQ R8 R7 0
    JT not_prime  # If divisible, not prime

    # Increment divisor
    INC R4
    JMP divisor_loop

not_prime:
    # If divisor reached number, it's prime
    EQ R8 R4 R1
    JT store_prime

    # Not prime, move to next number
    INC R1
    JMP check_prime

store_prime:
    # Store prime number in memory
    STORE R1 R2
    INC R2

    # Increment number and decrement prime counter
    INC R1
    DEC R3
    JT check_prime  # Continue if more primes needed

    HCF  # Stop program

PyFunc

Infinite loop detected Resulting in output: False