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 an assembly program that calculates and stores the first 20 prime numbers in memory cells 0 to 19:

SET R1 2       ; R1 is the current number we're checking
SET R2 0       ; R2 is the count of primes found
SET R3 0       ; R3 is the divisor we're testing
SET R4 20      ; R4 is our target (20 primes)
SET R5 0       ; R5 is temporary storage
SET R6 2       ; R6 is constant 2 for comparison

start:
    SET R3 2           ; Reset divisor to 2
    
check_prime:
    EQ R1 R3
    JT is_prime        ; If R1 == R3, it's prime
    
    MOD R5 R1 R3       ; R5 = R1 % R3
    EQ R5 R0           ; Check if R5 == 0
    JT not_prime       ; If divisible, not prime
    
    INC R3             ; Increment divisor
    JMP check_prime    ; Continue checking
    
is_prime:
    STORE R1 R2        ; Store prime in memory at address R2
    INC R2             ; Increment prime count
    EQ R2 R4
    JT end             ; If we've found 20 primes, end
    
not_prime:
    INC R1             ; Move to next number
    JMP start          ; Restart the process

end:
    HCF               ; Halt and Catch Fire

This program does the following: 1. It starts by checking if 2 is prime (which it is). 2. For each subsequent number, it checks if it's divisible by any number from 2 up to itself. 3. If it finds a number is prime, it stores it in memory at the address equal to the count of primes found so far. 4. It continues this process until it has found and stored 20 prime numbers. The program uses registers as follows: - R1: The current number being checked for primality - R2: The count of prime numbers found (also used as the memory address for storing) - R3: The current divisor being tested - R4: The target number of primes (20) - R5: Temporary storage for modulus results - R6: Constant value 2 (unused in this version, but could be used for optimization) After running this program, memory addresses 0 to 19 will contain the first 20 prime numbers.

Extract Code

I extracted the following code from that output:

SET R1 2       ; R1 is the current number we're checking
SET R2 0       ; R2 is the count of primes found
SET R3 0       ; R3 is the divisor we're testing
SET R4 20      ; R4 is our target (20 primes)
SET R5 0       ; R5 is temporary storage
SET R6 2       ; R6 is constant 2 for comparison

start:
    SET R3 2           ; Reset divisor to 2
    
check_prime:
    EQ R1 R3
    JT is_prime        ; If R1 == R3, it's prime
    
    MOD R5 R1 R3       ; R5 = R1 % R3
    EQ R5 R0           ; Check if R5 == 0
    JT not_prime       ; If divisible, not prime
    
    INC R3             ; Increment divisor
    JMP check_prime    ; Continue checking
    
is_prime:
    STORE R1 R2        ; Store prime in memory at address R2
    INC R2             ; Increment prime count
    EQ R2 R4
    JT end             ; If we've found 20 primes, end
    
not_prime:
    INC R1             ; Move to next number
    JMP start          ; Restart the process

end:
    HCF               ; Halt and Catch Fire

PyFunc

'R0' Resulting in output: False

Initial Query

LLM Generation

Query

Output

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

SET R1 2       ; R1 is the current number we're checking
SET R2 0       ; R2 is the count of primes found
SET R3 2       ; R3 is the divisor we're checking
SET R4 0       ; R4 is used for division
SET R5 0       ; R5 is used to store the remainder
SET R6 20      ; R6 is the target number of primes

start:
    SET R3 2           ; Reset divisor to 2
    SET R7 R1          ; R7 = R1 (number to check)
    SUB R7 R7 1        ; R7 = R7 - 1 (upper bound for divisor check)

check_prime:
    LTE R3 R7
    JF prime_found     ; If R3 > R7, number is prime

    SET R4 R1          ; Set up division: R4 = R1 / R3
    SET R5 R1          ; R5 will be the remainder

divide:
    LT R4 R3
    JT div_done        ; If R4 < R3, division is done
    SUB R4 R4 R3
    INC R5
    JMP divide

div_done:
    EQ R5 0
    JT not_prime       ; If remainder is 0, not prime
    INC R3             ; Increment divisor
    JMP check_prime

prime_found:
    STORE R1 R2        ; Store prime in memory at address R2
    INC R2             ; Increment prime count
    EQ R2 R6
    JT done            ; If we've found 20 primes, we're done

not_prime:
    INC R1             ; Move to next number
    JMP start

done:
    HCF               ; Halt and Catch Fire

This program works as follows: 1. We start by checking if 2 is prime (which it is). 2. For each subsequent number, we divide it by all numbers from 2 up to (number - 1). 3. If any division results in a remainder of 0, the number is not prime, so we move to the next number. 4. If we've checked all possible divisors and found no factors, the number is prime. 5. When we find a prime, we store it in memory at the address equal to the count of primes we've found so far. 6. We continue this process until we've found 20 primes. Note that this program implements division using repeated subtraction, as the instruction set doesn't include a native division operation. This makes the program less efficient than it could be with a proper division instruction, but it will correctly find and store the first 20 primes. The primes will be stored in memory addresses 0 to 19 in ascending order: 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       ; R1 is the current number we're checking
SET R2 0       ; R2 is the count of primes found
SET R3 2       ; R3 is the divisor we're checking
SET R4 0       ; R4 is used for division
SET R5 0       ; R5 is used to store the remainder
SET R6 20      ; R6 is the target number of primes

start:
    SET R3 2           ; Reset divisor to 2
    SET R7 R1          ; R7 = R1 (number to check)
    SUB R7 R7 1        ; R7 = R7 - 1 (upper bound for divisor check)

check_prime:
    LTE R3 R7
    JF prime_found     ; If R3 > R7, number is prime

    SET R4 R1          ; Set up division: R4 = R1 / R3
    SET R5 R1          ; R5 will be the remainder

divide:
    LT R4 R3
    JT div_done        ; If R4 < R3, division is done
    SUB R4 R4 R3
    INC R5
    JMP divide

div_done:
    EQ R5 0
    JT not_prime       ; If remainder is 0, not prime
    INC R3             ; Increment divisor
    JMP check_prime

prime_found:
    STORE R1 R2        ; Store prime in memory at address R2
    INC R2             ; Increment prime count
    EQ R2 R6
    JT done            ; If we've found 20 primes, we're done

not_prime:
    INC R1             ; Move to next number
    JMP start

done:
    HCF               ; Halt and Catch Fire

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

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

SET R1 2    ; R1 is the current number we're checking
SET R2 0    ; R2 is the count of primes found
SET R3 2    ; R3 is the divisor we're checking
SET R4 0    ; R4 is used for division result
SET R5 0    ; R5 is used for division remainder
SET R6 20   ; R6 is the target number of primes

start:
    SET R3 2         ; Reset divisor to 2
    JMP check_prime

check_prime:
    DIV R4 R1 R3     ; Divide R1 by R3
    MOD R5 R1 R3     ; Get remainder of R1 / R3
    EQ R5 0          ; Check if remainder is 0
    JT not_prime     ; If divisible, it's not prime
    INC R3           ; Increment divisor
    MUL R7 R3 R3     ; Square the divisor
    GT R7 R1         ; Check if divisor^2 > number
    JT prime_found   ; If so, it's prime
    JMP check_prime  ; Otherwise, continue checking

not_prime:
    INC R1           ; Move to next number
    JMP start

prime_found:
    STORE R1 R2      ; Store prime in memory at address R2
    INC R2           ; Increment prime count
    EQ R2 R6         ; Check if we've found 20 primes
    JT end           ; If so, end the program
    INC R1           ; Move to next number
    JMP start

end:
    HCF              ; Halt and Catch Fire

This program works as follows: 1. We start by checking if 2 is prime (it is) and then move on to subsequent odd numbers. 2. For each number, we divide it by all numbers from 2 up to its square root. 3. If any division results in a remainder of 0, the number is not prime, so we move to the next number. 4. If we've checked all divisors up to the square root and found no divisors, the number is prime. 5. When we find a prime, we store it in memory at the address equal to the count of primes we've found so far. 6. We continue this process until we've found 20 primes. After running this program, memory addresses 0 to 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, and 71.

Extract Code

I extracted the following code from that output:

SET R1 2    ; R1 is the current number we're checking
SET R2 0    ; R2 is the count of primes found
SET R3 2    ; R3 is the divisor we're checking
SET R4 0    ; R4 is used for division result
SET R5 0    ; R5 is used for division remainder
SET R6 20   ; R6 is the target number of primes

start:
    SET R3 2         ; Reset divisor to 2
    JMP check_prime

check_prime:
    DIV R4 R1 R3     ; Divide R1 by R3
    MOD R5 R1 R3     ; Get remainder of R1 / R3
    EQ R5 0          ; Check if remainder is 0
    JT not_prime     ; If divisible, it's not prime
    INC R3           ; Increment divisor
    MUL R7 R3 R3     ; Square the divisor
    GT R7 R1         ; Check if divisor^2 > number
    JT prime_found   ; If so, it's prime
    JMP check_prime  ; Otherwise, continue checking

not_prime:
    INC R1           ; Move to next number
    JMP start

prime_found:
    STORE R1 R2      ; Store prime in memory at address R2
    INC R2           ; Increment prime count
    EQ R2 R6         ; Check if we've found 20 primes
    JT end           ; If so, end the program
    INC R1           ; Move to next number
    JMP start

end:
    HCF              ; Halt and Catch Fire

PyFunc

Resulting in output: False

Initial Query

LLM Generation

Query

Output

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

SET R1 2       ; R1 is our current number to check
SET R2 0       ; R2 is our prime counter
SET R3 0       ; R3 is our divisor
SET R4 20      ; R4 is our target (20 primes)
SET R5 0       ; R5 is our temporary remainder
SET R6 2       ; R6 is constant 2 for comparison
SET R7 0       ; R7 is our memory address counter

main_loop:
    SET R3 2           ; Reset divisor to 2
    EQ R2 R4
    JT end             ; If we have 20 primes, end

    is_prime_loop:
        EQ R3 R1
        JT prime_found ; If divisor == number, it's prime

        MOD R5 R1 R3   ; Check if R1 is divisible by R3
        EQ R5 R0
        JT not_prime   ; If divisible, not prime

        INC R3         ; Increment divisor
        JMP is_prime_loop

    prime_found:
        STORE R1 R7    ; Store prime in memory
        INC R7         ; Increment memory address
        INC R2         ; Increment prime counter

    not_prime:
        INC R1         ; Move to next number
        JMP main_loop

end:
    HCF

This program works as follows: 1. We start by initializing our registers: - R1 holds the current number we're checking (starting from 2) - R2 counts how many primes we've found - R3 is used as a divisor when checking for primality - R4 holds our target of 20 primes - R5 is used for temporary calculations - R6 holds the constant 2 (the smallest prime) - R7 is used to keep track of which memory address we're storing to 2. The main loop checks if we've found 20 primes. If not, it proceeds to check if the current number (R1) is prime. 3. The is_prime_loop checks if R1 is divisible by any number from 2 up to R1-1. If it finds a divisor, the number is not prime. 4. If no divisors are found, the number is prime. We store it in memory, increment our prime counter and memory address. 5. Whether prime or not, we increment R1 to move to the next number and continue the main loop. 6. Once we've found 20 primes, the program ends. 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 addresses 0 to 19.

Extract Code

I extracted the following code from that output:

SET R1 2       ; R1 is our current number to check
SET R2 0       ; R2 is our prime counter
SET R3 0       ; R3 is our divisor
SET R4 20      ; R4 is our target (20 primes)
SET R5 0       ; R5 is our temporary remainder
SET R6 2       ; R6 is constant 2 for comparison
SET R7 0       ; R7 is our memory address counter

main_loop:
    SET R3 2           ; Reset divisor to 2
    EQ R2 R4
    JT end             ; If we have 20 primes, end

    is_prime_loop:
        EQ R3 R1
        JT prime_found ; If divisor == number, it's prime

        MOD R5 R1 R3   ; Check if R1 is divisible by R3
        EQ R5 R0
        JT not_prime   ; If divisible, not prime

        INC R3         ; Increment divisor
        JMP is_prime_loop

    prime_found:
        STORE R1 R7    ; Store prime in memory
        INC R7         ; Increment memory address
        INC R2         ; Increment prime counter

    not_prime:
        INC R1         ; Move to next number
        JMP main_loop

end:
    HCF

PyFunc

'R0' Resulting in output: False

Initial Query

LLM Generation

Query

Output

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

SET R1 2       ; R1 is the current number we're checking
SET R2 0       ; R2 is the count of primes found
SET R3 2       ; R3 is the divisor we're checking
SET R4 0       ; R4 is used for division result
SET R5 0       ; R5 is used for division remainder
SET R6 20      ; R6 is the target number of primes

main_loop:
    SET R3 2           ; Reset divisor to 2
    JMP check_prime

check_prime:
    DIV R4 R1 R3       ; Divide R1 by R3
    MOD R5 R1 R3       ; Get remainder of R1 / R3
    EQ R5 0            ; Check if remainder is 0
    JT not_prime       ; If divisible, not prime
    INC R3             ; Increment divisor
    MUL R7 R3 R3       ; Square the divisor
    GT R7 R1           ; Check if divisor^2 > number
    JT prime_found     ; If so, it's prime
    JMP check_prime    ; Otherwise, continue checking

not_prime:
    INC R1             ; Move to next number
    JMP main_loop

prime_found:
    STORE R1 R2        ; Store prime in memory at index R2
    INC R2             ; Increment prime count
    EQ R2 R6           ; Check if we've found 20 primes
    JT end             ; If so, end the program
    INC R1             ; Move to next number
    JMP main_loop

end:
    HCF               ; Halt and Catch Fire

This program works as follows: 1. We start by initializing our registers: - R1 is the current number we're checking for primality (starting at 2). - R2 is the count of primes we've found (also serves as the memory index). - R3 is the divisor we're using to check for primality. - R4 and R5 are used for division operations. - R6 holds our target number of primes (20). 2. In the main loop, we reset R3 to 2 and start checking if R1 is prime. 3. To check for primality, we divide R1 by R3 and check the remainder. If the remainder is 0, the number is not prime, so we increment R1 and continue the main loop. 4. If the number wasn't divisible, we increment the divisor (R3) and check if its square is greater than R1. If it is, R1 is prime. 5. When we find a prime, we store it in memory at the index in R2, increment our prime count, and check if we've found 20 primes. If not, we continue the loop with the next number. 6. The program ends when we've found and stored 20 primes. 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 addresses 0 to 19.

Extract Code

I extracted the following code from that output:

SET R1 2       ; R1 is the current number we're checking
SET R2 0       ; R2 is the count of primes found
SET R3 2       ; R3 is the divisor we're checking
SET R4 0       ; R4 is used for division result
SET R5 0       ; R5 is used for division remainder
SET R6 20      ; R6 is the target number of primes

main_loop:
    SET R3 2           ; Reset divisor to 2
    JMP check_prime

check_prime:
    DIV R4 R1 R3       ; Divide R1 by R3
    MOD R5 R1 R3       ; Get remainder of R1 / R3
    EQ R5 0            ; Check if remainder is 0
    JT not_prime       ; If divisible, not prime
    INC R3             ; Increment divisor
    MUL R7 R3 R3       ; Square the divisor
    GT R7 R1           ; Check if divisor^2 > number
    JT prime_found     ; If so, it's prime
    JMP check_prime    ; Otherwise, continue checking

not_prime:
    INC R1             ; Move to next number
    JMP main_loop

prime_found:
    STORE R1 R2        ; Store prime in memory at index R2
    INC R2             ; Increment prime count
    EQ R2 R6           ; Check if we've found 20 primes
    JT end             ; If so, end the program
    INC R1             ; Move to next number
    JMP main_loop

end:
    HCF               ; Halt and Catch Fire

PyFunc

Resulting in output: False