gpt-4-0314 - simple python test

#gpt-4-0314
- Max Tokens 4096
- Temp 1

#Prompt (empty system prompt)
>write a python script that will perform a binary merge sort

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#Output

Here's an implementation of merge sort algorithm in Python:

```python
def merge_sort(arr):
    if len(arr) <= 1:
        return arr

    # Split the list in half
    middle = len(arr) // 2
    left = arr[:middle]
    right = arr[middle:]

    # Recursively sort both halves
    left_sorted = merge_sort(left)
    right_sorted = merge_sort(right)

    # Merge the two sorted halves
    return binary_merge(left_sorted, right_sorted)


def binary_merge(left, right):
    result = []
    left_index = 0
    right_index = 0

    while left_index < len(left) and right_index < len(right):
        if left[left_index] < right[right_index]:
            result.append(left[left_index])
            left_index += 1
        else:
            result.append(right[right_index])
            right_index += 1

    # Add the remaining elements from the left and right sublists
    result.extend(left[left_index:])
    result.extend(right[right_index:])

    return result


# Test the merge_sort function
arr = [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5]
print("Original list:", arr)
sorted_arr = merge_sort(arr)
print("Sorted list:", sorted_arr)
```

This script defines a `merge_sort` function that takes a list as input and returns a new list containing the same elements sorted in ascending order using the merge sort algorithm. The `binary_merge` function is a helper function that takes in two sorted lists (`left` and `right`) and merges them into a single sorted list.

----

# Test Output

Original list: [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5]
Sorted list: [1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 9]

PASS