Initial Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

LLM Generation

Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

Output

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update function.

    Args:
        high (np.ndarray): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value.
        delta (np.ndarray): Array of delta values.

    Returns:
        np.ndarray: Updated `high` array.
    """
    # Create a mask to exclude the highest_number index
    mask = np.arange(len(high)) != highest_number

    # Calculate the potential new values using vectorized operations
    new_values = high[highest_number] + delta[highest_number] - delta[mask]

    # Update the high array where the new values are smaller and the mask is True
    high[mask] = np.minimum(high[mask], new_values)

    return high
**Explanation:** 1. **Masking:** We create a boolean mask `mask` that is `True` for all indices except `highest_number`. This is used to exclude the `highest_number` element from calculations where needed. 2. **Vectorized Calculation:** Instead of looping, we calculate the potential new values for all elements (except `highest_number`) at once using vectorized operations: - `high[highest_number] + delta[highest_number]` calculates the base value for the update. - `delta[mask]` selects the relevant delta values based on the mask. - We subtract the selected deltas from the base value to get the potential new values. 3. **Conditional Update:** We use `np.minimum` to update the `high` array only where: - The calculated `new_values` are smaller than the current values in `high`. - The `mask` is `True` (excluding `highest_number`). This vectorized version avoids the explicit loop and leverages NumPy's efficient array operations, leading to faster execution, especially for larger arrays.

Extract Code

I extracted the following code from that output:

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update function.

    Args:
        high (np.ndarray): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value.
        delta (np.ndarray): Array of delta values.

    Returns:
        np.ndarray: Updated `high` array.
    """
    # Create a mask to exclude the highest_number index
    mask = np.arange(len(high)) != highest_number

    # Calculate the potential new values using vectorized operations
    new_values = high[highest_number] + delta[highest_number] - delta[mask]

    # Update the high array where the new values are smaller and the mask is True
    high[mask] = np.minimum(high[mask], new_values)

    return high

Check if all of the following conditions are true:

LLM Generation

Query

Below is a student's answer to a question about how to vectorize this loop: def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high Here is their code: import numpy as np def update(high, highest_number, delta): """ Vectorized version of the update function. Args: high (np.ndarray): Array of values to potentially update. highest_number (int): Index of the element with the highest value. delta (np.ndarray): Array of delta values. Returns: np.ndarray: Updated `high` array. """ # Create a mask to exclude the highest_number index mask = np.arange(len(high)) != highest_number # Calculate the potential new values using vectorized operations new_values = high[highest_number] + delta[highest_number] - delta[mask] # Update the high array where the new values are smaller and the mask is True high[mask] = np.minimum(high[mask], new_values) return high Did the student try to vectorize the loop? Don't tell me if they are correct or not. (I have tests for that separately which will catch any bugs.) Just tell me if they tried to vectorize the loop. End your answer with either the string "The student passes" if they tried to do a vectorized loop, or "The student fails" if they just wrote a for loop again.

Output

The student passes

Substring Evaluation

Testing if the previous output contains the string student passes: True

Run Code Interpreter

Running the following program:

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update function.

    Args:
        high (np.ndarray): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value.
        delta (np.ndarray): Array of delta values.

    Returns:
        np.ndarray: Updated `high` array.
    """
    # Create a mask to exclude the highest_number index
    mask = np.arange(len(high)) != highest_number

    # Calculate the potential new values using vectorized operations
    new_values = high[highest_number] + delta[highest_number] - delta[mask]

    # Update the high array where the new values are smaller and the mask is True
    high[mask] = np.minimum(high[mask], new_values)

    return high



import numpy as np

answer = list(update(np.array([2, 5, 9, 1, 2, 0, 3, 8]), 4, np.array([1, 2, 1, 4, 3, 2, 1, 2])))
expected = [2, 3, 4, 1, 2, 0, 3, 3]
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

Final Answer: True

Initial Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

LLM Generation

Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

Output

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import numpy as np

def update(high, highest_number, delta):
  """
  Vectorized version of the update loop.

  Args:
    high: A NumPy array representing the 'high' values.
    highest_number: The index of the highest number in 'high'.
    delta: A NumPy array representing the 'delta' values.

  Returns:
    The updated 'high' array.
  """
  # Create a mask to exclude the highest_number index
  mask = np.arange(len(high)) != highest_number
  
  # Calculate the potential new values for all indices except highest_number
  new_values = high[highest_number] + delta[highest_number] - delta[mask]
  
  # Update the high array using np.minimum, applying the mask
  high[mask] = np.minimum(high[mask], new_values)
  
  return high
**Explanation:** 1. **Masking:** Instead of iterating through the array with a loop and checking `if i != highest_number`, we create a boolean mask `mask` where `True` represents indices that need updating and `False` represents the `highest_number` index. 2. **Vectorized Calculation:** We use NumPy's broadcasting capabilities to calculate the potential new values for all indices simultaneously. `high[highest_number] + delta[highest_number] - delta[mask]` performs the calculation for all `True` indices in the mask. 3. **In-place Update with `np.minimum`:** We use `np.minimum` to compare the current values in `high` with the calculated `new_values`, updating the `high` array in-place only for the indices specified by the `mask`. This vectorized implementation avoids the explicit loop, leveraging NumPy's efficient array operations for a significant performance improvement, especially for larger arrays.

Extract Code

I extracted the following code from that output:

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import numpy as np

def update(high, highest_number, delta):
  """
  Vectorized version of the update loop.

  Args:
    high: A NumPy array representing the 'high' values.
    highest_number: The index of the highest number in 'high'.
    delta: A NumPy array representing the 'delta' values.

  Returns:
    The updated 'high' array.
  """
  # Create a mask to exclude the highest_number index
  mask = np.arange(len(high)) != highest_number
  
  # Calculate the potential new values for all indices except highest_number
  new_values = high[highest_number] + delta[highest_number] - delta[mask]
  
  # Update the high array using np.minimum, applying the mask
  high[mask] = np.minimum(high[mask], new_values)
  
  return high

Check if all of the following conditions are true:

LLM Generation

Query

Below is a student's answer to a question about how to vectorize this loop: def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high Here is their code: import numpy as np def update(high, highest_number, delta): """ Vectorized version of the update loop. Args: high: A NumPy array representing the 'high' values. highest_number: The index of the highest number in 'high'. delta: A NumPy array representing the 'delta' values. Returns: The updated 'high' array. """ # Create a mask to exclude the highest_number index mask = np.arange(len(high)) != highest_number # Calculate the potential new values for all indices except highest_number new_values = high[highest_number] + delta[highest_number] - delta[mask] # Update the high array using np.minimum, applying the mask high[mask] = np.minimum(high[mask], new_values) return high Did the student try to vectorize the loop? Don't tell me if they are correct or not. (I have tests for that separately which will catch any bugs.) Just tell me if they tried to vectorize the loop. End your answer with either the string "The student passes" if they tried to do a vectorized loop, or "The student fails" if they just wrote a for loop again.

Output

The student passes

Substring Evaluation

Testing if the previous output contains the string student passes: True

Run Code Interpreter

Running the following program:

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import numpy as np

def update(high, highest_number, delta):
  """
  Vectorized version of the update loop.

  Args:
    high: A NumPy array representing the 'high' values.
    highest_number: The index of the highest number in 'high'.
    delta: A NumPy array representing the 'delta' values.

  Returns:
    The updated 'high' array.
  """
  # Create a mask to exclude the highest_number index
  mask = np.arange(len(high)) != highest_number
  
  # Calculate the potential new values for all indices except highest_number
  new_values = high[highest_number] + delta[highest_number] - delta[mask]
  
  # Update the high array using np.minimum, applying the mask
  high[mask] = np.minimum(high[mask], new_values)
  
  return high



import numpy as np

answer = list(update(np.array([2, 5, 9, 1, 2, 0, 3, 8]), 4, np.array([1, 2, 1, 4, 3, 2, 1, 2])))
expected = [2, 3, 4, 1, 2, 0, 3, 3]
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

Final Answer: True

Initial Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

LLM Generation

Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

Output

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import numpy as np

def update(high, highest_number, delta):
  """
  Vectorized version of the update function.

  Args:
    high: A NumPy array representing the 'high' values.
    highest_number: The index of the highest number in 'high'.
    delta: A NumPy array representing the 'delta' values.

  Returns:
    The updated 'high' array.
  """
  # Create a mask to exclude the highest_number index
  mask = np.arange(len(high)) != highest_number

  # Calculate the update values using vectorized operations
  update_values = high[highest_number] + delta[highest_number] - delta

  # Update the 'high' array using the mask and np.minimum
  high[mask] = np.minimum(high[mask], update_values[mask])

  return high
**Explanation:** 1. **Masking:** We create a boolean mask `mask` that is `True` for all indices except `highest_number`. This is used to exclude the `highest_number` from the update. 2. **Vectorized Calculation:** We calculate the potential update values for all elements in a single operation: `high[highest_number] + delta[highest_number] - delta`. 3. **Conditional Update:** We use `np.minimum` along with the `mask` to update only the elements where `i != highest_number`. `np.minimum` compares the current `high` values with the calculated `update_values` and takes the smaller value for each element. This vectorized version eliminates the explicit loop, leveraging NumPy's efficient array operations for a significant performance improvement.

Extract Code

I extracted the following code from that output:

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import numpy as np

def update(high, highest_number, delta):
  """
  Vectorized version of the update function.

  Args:
    high: A NumPy array representing the 'high' values.
    highest_number: The index of the highest number in 'high'.
    delta: A NumPy array representing the 'delta' values.

  Returns:
    The updated 'high' array.
  """
  # Create a mask to exclude the highest_number index
  mask = np.arange(len(high)) != highest_number

  # Calculate the update values using vectorized operations
  update_values = high[highest_number] + delta[highest_number] - delta

  # Update the 'high' array using the mask and np.minimum
  high[mask] = np.minimum(high[mask], update_values[mask])

  return high

Check if all of the following conditions are true:

LLM Generation

Query

Below is a student's answer to a question about how to vectorize this loop: def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high Here is their code: import numpy as np def update(high, highest_number, delta): """ Vectorized version of the update function. Args: high: A NumPy array representing the 'high' values. highest_number: The index of the highest number in 'high'. delta: A NumPy array representing the 'delta' values. Returns: The updated 'high' array. """ # Create a mask to exclude the highest_number index mask = np.arange(len(high)) != highest_number # Calculate the update values using vectorized operations update_values = high[highest_number] + delta[highest_number] - delta # Update the 'high' array using the mask and np.minimum high[mask] = np.minimum(high[mask], update_values[mask]) return high Did the student try to vectorize the loop? Don't tell me if they are correct or not. (I have tests for that separately which will catch any bugs.) Just tell me if they tried to vectorize the loop. End your answer with either the string "The student passes" if they tried to do a vectorized loop, or "The student fails" if they just wrote a for loop again.

Output

The student passes

Substring Evaluation

Testing if the previous output contains the string student passes: True

Run Code Interpreter

Running the following program:

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import numpy as np

def update(high, highest_number, delta):
  """
  Vectorized version of the update function.

  Args:
    high: A NumPy array representing the 'high' values.
    highest_number: The index of the highest number in 'high'.
    delta: A NumPy array representing the 'delta' values.

  Returns:
    The updated 'high' array.
  """
  # Create a mask to exclude the highest_number index
  mask = np.arange(len(high)) != highest_number

  # Calculate the update values using vectorized operations
  update_values = high[highest_number] + delta[highest_number] - delta

  # Update the 'high' array using the mask and np.minimum
  high[mask] = np.minimum(high[mask], update_values[mask])

  return high




import numpy as np

answer = list(update(np.array([2, 5, 9, 1, 2, 0, 3, 8]), 4, np.array([1, 2, 1, 4, 3, 2, 1, 2])))
expected = [2, 3, 4, 1, 2, 0, 3, 3]
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

Final Answer: True

Initial Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

LLM Generation

Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

Output

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update function.

    Args:
        high (np.ndarray): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value.
        delta (np.ndarray): Array of delta values.

    Returns:
        np.ndarray: Updated 'high' array.
    """
    # Create a mask to exclude the highest_number index
    mask = np.arange(len(high)) != highest_number

    # Calculate potential updates for all elements except highest_number
    potential_updates = high[highest_number] + delta[highest_number] - delta[mask]

    # Update 'high' where the potential update is smaller, excluding highest_number
    high[mask] = np.minimum(high[mask], potential_updates)
    
    return high

Extract Code

I extracted the following code from that output:

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update function.

    Args:
        high (np.ndarray): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value.
        delta (np.ndarray): Array of delta values.

    Returns:
        np.ndarray: Updated 'high' array.
    """
    # Create a mask to exclude the highest_number index
    mask = np.arange(len(high)) != highest_number

    # Calculate potential updates for all elements except highest_number
    potential_updates = high[highest_number] + delta[highest_number] - delta[mask]

    # Update 'high' where the potential update is smaller, excluding highest_number
    high[mask] = np.minimum(high[mask], potential_updates)
    
    return high

Check if all of the following conditions are true:

LLM Generation

Query

Below is a student's answer to a question about how to vectorize this loop: def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high Here is their code: import numpy as np def update(high, highest_number, delta): """ Vectorized version of the update function. Args: high (np.ndarray): Array of values to potentially update. highest_number (int): Index of the element with the highest value. delta (np.ndarray): Array of delta values. Returns: np.ndarray: Updated 'high' array. """ # Create a mask to exclude the highest_number index mask = np.arange(len(high)) != highest_number # Calculate potential updates for all elements except highest_number potential_updates = high[highest_number] + delta[highest_number] - delta[mask] # Update 'high' where the potential update is smaller, excluding highest_number high[mask] = np.minimum(high[mask], potential_updates) return high Did the student try to vectorize the loop? Don't tell me if they are correct or not. (I have tests for that separately which will catch any bugs.) Just tell me if they tried to vectorize the loop. End your answer with either the string "The student passes" if they tried to do a vectorized loop, or "The student fails" if they just wrote a for loop again.

Output

The student passes

Substring Evaluation

Testing if the previous output contains the string student passes: True

Run Code Interpreter

Running the following program:

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update function.

    Args:
        high (np.ndarray): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value.
        delta (np.ndarray): Array of delta values.

    Returns:
        np.ndarray: Updated 'high' array.
    """
    # Create a mask to exclude the highest_number index
    mask = np.arange(len(high)) != highest_number

    # Calculate potential updates for all elements except highest_number
    potential_updates = high[highest_number] + delta[highest_number] - delta[mask]

    # Update 'high' where the potential update is smaller, excluding highest_number
    high[mask] = np.minimum(high[mask], potential_updates)
    
    return high




import numpy as np

answer = list(update(np.array([2, 5, 9, 1, 2, 0, 3, 8]), 4, np.array([1, 2, 1, 4, 3, 2, 1, 2])))
expected = [2, 3, 4, 1, 2, 0, 3, 3]
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

Final Answer: True

Initial Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

LLM Generation

Query

Vectorize this update loop. Call the function `update`: import numpy as np def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high

Output

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update loop.

    Args:
        high (np.array): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value in 'high'.
        delta (np.array): Array of delta values.

    Returns:
        np.array: Updated 'high' array.
    """
    # Create a mask to exclude the highest_number element
    mask = np.arange(len(high)) != highest_number

    # Calculate potential new values
    new_values = high[highest_number] + delta[highest_number] - delta[mask]

    # Update 'high' where the new value is smaller
    high[mask] = np.minimum(high[mask], new_values) 
    return high
**Explanation:** 1. **Masking:** We create a boolean mask `mask` that is `True` for all indices except `highest_number`. This allows us to perform operations on all elements except the one at `highest_number`. 2. **Vectorized Calculation:** Instead of iterating, we perform the calculation `high[highest_number] + delta[highest_number] - delta[i]` in a vectorized manner using NumPy broadcasting. This computes the potential new values for all elements simultaneously. 3. **`np.minimum`:** We use `np.minimum` to compare the existing values in `high` with the calculated `new_values`. This function efficiently finds the element-wise minimum between the two arrays, ensuring that `high[i]` is updated only if the new value is smaller. 4. **In-Place Update:** The result of `np.minimum` is directly assigned back to `high[mask]`, updating the original array in-place for efficiency. By using NumPy's vectorized operations and broadcasting, we eliminate the explicit loop and achieve a more concise and efficient implementation.

Extract Code

I extracted the following code from that output:

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update loop.

    Args:
        high (np.array): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value in 'high'.
        delta (np.array): Array of delta values.

    Returns:
        np.array: Updated 'high' array.
    """
    # Create a mask to exclude the highest_number element
    mask = np.arange(len(high)) != highest_number

    # Calculate potential new values
    new_values = high[highest_number] + delta[highest_number] - delta[mask]

    # Update 'high' where the new value is smaller
    high[mask] = np.minimum(high[mask], new_values) 
    return high

Check if all of the following conditions are true:

LLM Generation

Query

Below is a student's answer to a question about how to vectorize this loop: def update(high, highest_number, delta): for i in range(len(high)): if i != highest_number: high[i] = min(high[i], high[highest_number] + delta[highest_number] - delta[i]) return high Here is their code: import numpy as np def update(high, highest_number, delta): """ Vectorized version of the update loop. Args: high (np.array): Array of values to potentially update. highest_number (int): Index of the element with the highest value in 'high'. delta (np.array): Array of delta values. Returns: np.array: Updated 'high' array. """ # Create a mask to exclude the highest_number element mask = np.arange(len(high)) != highest_number # Calculate potential new values new_values = high[highest_number] + delta[highest_number] - delta[mask] # Update 'high' where the new value is smaller high[mask] = np.minimum(high[mask], new_values) return high Did the student try to vectorize the loop? Don't tell me if they are correct or not. (I have tests for that separately which will catch any bugs.) Just tell me if they tried to vectorize the loop. End your answer with either the string "The student passes" if they tried to do a vectorized loop, or "The student fails" if they just wrote a for loop again.

Output

The student passes

Substring Evaluation

Testing if the previous output contains the string student passes: True

Run Code Interpreter

Running the following program:

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import numpy as np

def update(high, highest_number, delta):
    """
    Vectorized version of the update loop.

    Args:
        high (np.array): Array of values to potentially update.
        highest_number (int): Index of the element with the highest value in 'high'.
        delta (np.array): Array of delta values.

    Returns:
        np.array: Updated 'high' array.
    """
    # Create a mask to exclude the highest_number element
    mask = np.arange(len(high)) != highest_number

    # Calculate potential new values
    new_values = high[highest_number] + delta[highest_number] - delta[mask]

    # Update 'high' where the new value is smaller
    high[mask] = np.minimum(high[mask], new_values) 
    return high



import numpy as np

answer = list(update(np.array([2, 5, 9, 1, 2, 0, 3, 8]), 4, np.array([1, 2, 1, 4, 3, 2, 1, 2])))
expected = [2, 3, 4, 1, 2, 0, 3, 3]
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

Final Answer: True