input: 
  from typing import List, Callable
  
  
  def detect_and_fix_syntax_errors(code_snippet: str) -> str:
      """ Develop an algorithm to detect and fix Python syntax errors in a given code snippet.
      >>> detect_and_fix_syntax_errors('def test ():\\n    x = 5\\n    y = 3\\n    z')
      'def test():\\n    x = 5\\n    y = 3\\n    try:\\n        z\\n    except NameError:\\n        print("NameError: Name \\'z\\' is not defined")'
      """
  
output:     try:
          compile(code_snippet, '<string>', 'exec')
          return code_snippet
      except SyntaxError as e:
          error_line = e.lineno - 1
          error_msg = str(e)
          lines = code_snippet.split('\n')
          
          if 'invalid syntax' in error_msg:
              if '=' not in lines[error_line]:
                  lines[error_line] = f'try:\n    {lines[error_line]}\nexcept SyntaxError:\n    print("SyntaxError: {error_msg}")'
              else:
                  lines[error_line] = f'try:\n    {lines[error_line]}\nexcept SyntaxError:\n    print("SyntaxError: {error_msg}")'
          
          elif 'name' in error_msg.lower():
              lines[error_line] = f'try:\n    {lines[error_line]}\nexcept NameError:\n    print("NameError: {error_msg}")'
          
          return '\n'.join(lines)