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To address the problem of converting system requirements into a structured HTML format, we can follow these steps:
### Approach
1. **Problem Analysis**: The task is to convert a JSON array of system requirements into a well-formatted HTML structure. Each system requirement (e.g., Windows, Mac, Linux) needs to be wrapped in a div element with appropriate headings, paragraphs, and a list of requirements.
2. **Intuitions and Insights**:
- Each system (Windows, Mac, Linux) should be represented within its own div.
- Each div should include a heading, a paragraph indicating minimum specs, and an unordered list of requirements.
- The input may contain HTML-encoded lists, which need to be parsed to extract individual requirements.
3. **Algorithm Selection and Optimization**:
- Use JSON parsing to extract system names and their respective requirements.
- For each system, generate the corresponding HTML structure.
- Handle nested HTML structures within the input to ensure correct extraction of requirements.
4. **Complexity Considerations**: The approach involves iterating through each system and its requirements, resulting in a manageable time complexity, especially given the typical size of system requirements.
### Solution Code
```python
import json
from bs4 import BeautifulSoup
def convert_requirements(input_json):
data = json.loads(input_json)
html_output = []
for item in data:
system = item.get('system', 'PC')
heading = f"{system} System Requirements"
requirement_html = item.get('requirement', '')
soup = BeautifulSoup(requirement_html, 'html.parser')
items = []
for li in soup.find_all('li'):
parts = [part.strip() for part in li.text.split(':')]
if len(parts) >= 2:
key = parts[0]
value = ':'.join(parts[1:])
items.append((key, value))
system_div = f'''
{heading}
MINIMUM SPECS
{''.join(f'- {key>: {value}
' for key, value in items)}
'''
html_output.append(system_div.strip())
return '
'.join(html_output)
```
### Explanation
1. **Reading Input**: The input is read as a JSON string and parsed into a list of dictionaries.
2. **Processing Each System**: For each system (Windows, Mac, Linux), a heading is created by appending "System Requirements" to the system name.
3. **Parsing Requirements**: The HTML-encoded requirements string is parsed using BeautifulSoup to extract individual requirements into key-value pairs.
4. **Generating HTML**: For each system, an HTML div is generated containing the heading, a paragraph, and an unordered list of requirements formatted with spans.
This approach ensures that the system requirements are neatly organized and presented in an easily readable HTML format.
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