input: def add_large_numbers(num1: str, num2: str) -> str:
      """ Adds two large numbers represented as strings.
      
      Example:
      >>> add_large_numbers("111", "1337")
      '1448'
      """
output:     len1, len2 = len(num1), len(num2)
      if len1 > len2:
          num2 = num2.zfill(len1)
      else:
          num1 = num1.zfill(len2)
      
      carry = 0
      result = []
      
      for i in range(len(num1) - 1, -1, -1):
          total = int(num1[i]) + int(num2[i]) + carry
          carry = total // 10
          result.append(str(total % 10))
      
      if carry:
          result.append(str(carry))
      
      return ''.join(result[::-1])