gpt-4-current - simple python test

#gpt-4 (current model - date 2023-12-14)
- 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

A binary merge sort is a combination of binary sort and merge sort algorithms. Here's a python script to perform a binary merge-sort.

Binary sort is used to correctly place the element at the correct position in the array and merge sort is used to combine the sorted lists in the end. But, to keep it simple, we can use built-in 'bisect' module which uses binary sort for list manipulation in an optimized way.

```python
import bisect

def binary_merge_sort(array):
    if len(array) < 2:
        return array
    mid = len(array) // 2
    left = binary_merge_sort(array[:mid])
    right = binary_merge_sort(array[mid:])
    return merge(left, right)

def merge(left, right):
    result = []
    while left and right:
        if left[0] <= right[0]:
            result.append(left.pop(0))
        else:
            result.append(right.pop(0))

    while left:  # If there are remaining elements in the 'left' list, add them to the results.
        result.append(left.pop(0))

    while right:  # If there are remaining elements in the 'right' list, add them to the results.
        result.append(right.pop(0))

    return result

numbers = [10, 2, 5, 3, 8, 6, 7, 1, 9, 4]
print(binary_merge_sort(numbers))
```

This will display the sorted list: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] when executed.

In this script, the binary_merge_sort function first checks if the length of the array is less than 2. If true, it returns the array. If false, it divides the array into two halves, sorts each half, and then merges them. The merge function appends the smaller first element of the two lists to the result until one list is empty, at which point it appends all remaining elements from the other list.

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# Test Output

[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]

PASS