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

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

Output

# Prime Number Generator Below is an assembly program that finds the first 20 prime numbers and stores them in memory addresses 0-19. 

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; Register usage:
; R1: Current number to check for primality
; R2: Current divisor in primality test
; R3: Upper limit for divisor checking (R1/2)
; R4: Temporary result for modulo operations
; R5: Count of prime numbers found
; R6: Memory address to store the next prime
; R7: Flag used in primality checking (0 = prime, 1 = not prime)

; Initialize
SET R1 2    ; Start checking from 2
SET R5 0    ; No primes found yet
SET R6 0    ; Start storing at memory address 0

check_prime:
    ; Special case for 2
    EQ R1 2
    JT is_prime

    ; Check if number is even (not prime except for 2)
    MOD R4 R1 2
    EQ R4 0
    JT not_prime

    ; Check divisibility by odd numbers from 3 to R1/2
    DIV R3 R1 2  ; Upper limit for checking
    SET R2 3     ; Start checking from 3

    check_divisibility:
        GT R2 R3 ; If R2 > R3, we've checked all potential divisors
        JT is_prime

        MOD R4 R1 R2  ; Check if R2 divides R1
        EQ R4 0
        JT not_prime  ; If divisible, not prime

        ; Move to next odd divisor
        INC R2
        INC R2
        JMP check_divisibility

is_prime:
    ; Store prime number in memory
    STORE R1 R6
    INC R6      ; Next memory address
    INC R5      ; Increment prime count

    ; Check if we've found 20 primes
    EQ R5 20
    JT done

not_prime:
    ; Special case after checking 2
    EQ R1 2
    JF increment_odd
    INC R1     ; Move to 3
    JMP check_prime

increment_odd:
    ; Skip to next odd number
    INC R1
    INC R1
    JMP check_prime

done:
    HCF        ; Halt and Catch Fire
## How It Works 1. The program starts by checking 2, which is prime by definition 2. For all other numbers, it first checks if they're even (not prime) 3. For odd numbers, it checks divisibility by odd integers from 3 to half the number 4. When a prime is found, it's stored in memory and the count is incremented 5. The program continuously checks numbers until it finds 20 primes 6. The program uses optimization by: - Only checking odd numbers after 2 - Only testing odd divisors (even numbers can't divide odd numbers) - Only testing divisors up to half the number When complete, memory addresses 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: 

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; Register usage:
; R1: Current number to check for primality
; R2: Current divisor in primality test
; R3: Upper limit for divisor checking (R1/2)
; R4: Temporary result for modulo operations
; R5: Count of prime numbers found
; R6: Memory address to store the next prime
; R7: Flag used in primality checking (0 = prime, 1 = not prime)

; Initialize
SET R1 2    ; Start checking from 2
SET R5 0    ; No primes found yet
SET R6 0    ; Start storing at memory address 0

check_prime:
    ; Special case for 2
    EQ R1 2
    JT is_prime

    ; Check if number is even (not prime except for 2)
    MOD R4 R1 2
    EQ R4 0
    JT not_prime

    ; Check divisibility by odd numbers from 3 to R1/2
    DIV R3 R1 2  ; Upper limit for checking
    SET R2 3     ; Start checking from 3

    check_divisibility:
        GT R2 R3 ; If R2 > R3, we've checked all potential divisors
        JT is_prime

        MOD R4 R1 R2  ; Check if R2 divides R1
        EQ R4 0
        JT not_prime  ; If divisible, not prime

        ; Move to next odd divisor
        INC R2
        INC R2
        JMP check_divisibility

is_prime:
    ; Store prime number in memory
    STORE R1 R6
    INC R6      ; Next memory address
    INC R5      ; Increment prime count

    ; Check if we've found 20 primes
    EQ R5 20
    JT done

not_prime:
    ; Special case after checking 2
    EQ R1 2
    JF increment_odd
    INC R1     ; Move to 3
    JMP check_prime

increment_odd:
    ; Skip to next odd number
    INC R1
    INC R1
    JMP check_prime

done:
    HCF        ; Halt and Catch Fire

PyFunc

Resulting in output: False

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

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

Output

# Prime Number Generator Assembly Program This program generates the first 20 prime numbers and stores them in memory locations 0-19. 

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; Store 2 (the first prime) manually and start from 3
SET R1 2        ; First prime number
SET R2 0        ; Memory location to store primes
SET R7 20       ; Total number of primes to find
SET R8 0        ; Counter for primes found

; Store first prime (2)
STORE R1 R2
INC R2
INC R8

; Set candidate to 3 and start checking
SET R1 3

check_prime:
    ; Start dividing by 2
    SET R3 2
    
divisibility_loop:
    ; If we've checked all possible divisors up to R1-1, it's prime
    EQ R3 R1
    JT is_prime
    
    ; Check if R1 is divisible by R3
    MOD R4 R1 R3
    
    ; If remainder is 0, not prime
    EQ R4 0
    JT not_prime
    
    ; Try next divisor
    INC R3
    JMP divisibility_loop
    
is_prime:
    ; Store prime in memory at position R2
    STORE R1 R2
    INC R2
    INC R8
    
    ; Check if we've found 20 primes
    EQ R8 R7
    JT done
    
not_prime:
    ; Check next odd number (even numbers > 2 are not prime)
    ADD R1 R1 2
    JMP check_prime
    
done:
    HCF
## Explanation This program works as follows: 1. Handles the first prime (2) manually 2. Starts checking from 3, incrementing by 2 (since even numbers > 2 aren't prime) 3. For each candidate: - Tests divisibility by all numbers from 2 to candidate-1 - If no divisor is found, the number is prime and stored in memory - Continues until 20 primes are found The 20 prime numbers that will be stored in memory are: 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: 

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; Store 2 (the first prime) manually and start from 3
SET R1 2        ; First prime number
SET R2 0        ; Memory location to store primes
SET R7 20       ; Total number of primes to find
SET R8 0        ; Counter for primes found

; Store first prime (2)
STORE R1 R2
INC R2
INC R8

; Set candidate to 3 and start checking
SET R1 3

check_prime:
    ; Start dividing by 2
    SET R3 2
    
divisibility_loop:
    ; If we've checked all possible divisors up to R1-1, it's prime
    EQ R3 R1
    JT is_prime
    
    ; Check if R1 is divisible by R3
    MOD R4 R1 R3
    
    ; If remainder is 0, not prime
    EQ R4 0
    JT not_prime
    
    ; Try next divisor
    INC R3
    JMP divisibility_loop
    
is_prime:
    ; Store prime in memory at position R2
    STORE R1 R2
    INC R2
    INC R8
    
    ; Check if we've found 20 primes
    EQ R8 R7
    JT done
    
not_prime:
    ; Check next odd number (even numbers > 2 are not prime)
    ADD R1 R1 2
    JMP check_prime
    
done:
    HCF

PyFunc

Resulting in output: False