Initial Query

Disassemble the following python into a function called foo: 5 0 BUILD_LIST 0 2 STORE_FAST 1 (primes) 6 4 LOAD_GLOBAL 0 (range) 6 LOAD_CONST 1 (2) 8 LOAD_FAST 0 (max_number) 10 LOAD_CONST 2 (1) 12 BINARY_ADD 14 CALL_FUNCTION 2 16 GET_ITER >> 18 FOR_ITER 94 (to 114) 20 STORE_FAST 2 (possible_prime) 7 22 LOAD_CONST 3 (True) 24 STORE_FAST 3 (is_prime) 9 26 LOAD_GLOBAL 0 (range) 28 LOAD_CONST 1 (2) 30 LOAD_GLOBAL 1 (int) 32 LOAD_FAST 2 (possible_prime) 34 LOAD_CONST 4 (0.5) 36 BINARY_POWER 38 CALL_FUNCTION 1 40 LOAD_CONST 2 (1) 42 BINARY_ADD 44 CALL_FUNCTION 2 46 GET_ITER >> 48 FOR_ITER 24 (to 74) 50 STORE_FAST 4 (num) 10 52 LOAD_FAST 2 (possible_prime) 54 LOAD_FAST 4 (num) 56 BINARY_MODULO 58 LOAD_CONST 5 (0) 60 COMPARE_OP 2 (==) 62 POP_JUMP_IF_FALSE 48 11 64 LOAD_CONST 6 (False) 66 STORE_FAST 3 (is_prime) 12 68 POP_TOP 70 JUMP_ABSOLUTE 74 72 JUMP_ABSOLUTE 48 13 >> 74 LOAD_FAST 3 (is_prime) 76 POP_JUMP_IF_FALSE 18 14 78 LOAD_FAST 1 (primes) 80 LOAD_METHOD 2 (append) 82 LOAD_FAST 2 (possible_prime) 84 CALL_METHOD 1 86 POP_TOP 16 88 LOAD_FAST 2 (possible_prime) 90 LOAD_CONST 1 (2) 92 BINARY_MODULO 94 LOAD_CONST 5 (0) 96 COMPARE_OP 3 (!=) 98 POP_JUMP_IF_FALSE 18 17 100 LOAD_FAST 1 (primes) 102 LOAD_METHOD 2 (append) 104 LOAD_FAST 2 (possible_prime) 106 UNARY_NEGATIVE 108 CALL_METHOD 1 110 POP_TOP 112 JUMP_ABSOLUTE 18 18 >> 114 LOAD_FAST 1 (primes) 116 RETURN_VALUE

LLM Generation

Query

Output

To solve this problem, we need to generate a list of prime numbers up to a given maximum number and include both the prime number and its negative counterpart if the prime is odd. This approach ensures that we not only list the primes but also their negative versions for primes greater than 2. ### Approach 1. **Initialize an empty list** to store the prime numbers. 2. **Iterate through each number** from 2 up to the given maximum number (inclusive). 3. **Check if each number is prime** by testing divisibility from 2 up to the square root of the number. If any divisor is found, the number is not prime. 4. **Append the prime number** to the list if it is confirmed to be prime. 5. **Check if the prime number is odd** (which all primes except 2 are) and append its negative counterpart to the list if it is. ### Solution Code

def foo(max_number):
    primes = []
    for possible_prime in range(2, max_number + 1):
        is_prime = True
        for num in range(2, int(possible_prime ** 0.5) + 1):
            if possible_prime % num == 0:
                is_prime = False
                break
        if is_prime:
            primes.append(possible_prime)
            if possible_prime % 2 != 0:
                primes.append(-possible_prime)
    return primes

### Explanation - **Initialization**: We start with an empty list `primes` to collect our results. - **Outer Loop**: We loop through each number from 2 up to `max_number` to check for primes. - **Prime Check**: For each number, we check if it is prime by testing divisibility from 2 up to the square root of the number. If any divisor is found, the number is marked as non-prime. - **Appending Primes**: If a number is confirmed as prime, it is added to the list. If the prime number is odd (which is all primes except 2), its negative counterpart is also added to the list. - **Return Result**: The final list of primes and their negative counterparts (for odd primes) is returned. This approach efficiently checks for primes using trial division up to the square root, ensuring that we only add necessary elements to the list, thus optimizing both time and space complexity.

Extract Code

I extracted the following code from that output:

def foo(max_number):
    primes = []
    for possible_prime in range(2, max_number + 1):
        is_prime = True
        for num in range(2, int(possible_prime ** 0.5) + 1):
            if possible_prime % num == 0:
                is_prime = False
                break
        if is_prime:
            primes.append(possible_prime)
            if possible_prime % 2 != 0:
                primes.append(-possible_prime)
    return primes

Run Code Interpreter

Running the following program:

def foo(max_number):
    primes = []
    for possible_prime in range(2, max_number + 1):
        is_prime = True
        for num in range(2, int(possible_prime ** 0.5) + 1):
            if possible_prime % num == 0:
                is_prime = False
                break
        if is_prime:
            primes.append(possible_prime)
            if possible_prime % 2 != 0:
                primes.append(-possible_prime)
    return primes





answer = foo(20)
expected = [2, 3, -3, 5, -5, 7, -7, 11, -11, 13, -13, 17, -17, 19, -19]
assert answer == expected, f'Wrong answer; got {answer} instead of {expected}'
print('All tests passed')

And got the output: All tests passed

Substring Evaluation

Testing if the previous output contains the string All tests passed: True