'''
I need to shorten 10,000 URLs by taking the URL number and perform repeated divisions by 62, using the remainder to map to a character set. The character set 
consists of lowercase letters, uppercase letters, and digits. The process continues until the number is reduced to zero.  
# This will print shortened URLs for numbers 1 to 10,000
# You can replace the range with any number to generate a specific shortened URL.   
# Note: The function `shorten_url` can be called with any integer to get its shortened URL representation.

# The above code will generate a unique shortened URL for each number from 1 to 10,000.
# The output will be a string of characters that can be used as a URL suffix.       

# The character set used is:
# - Lowercase letters: a-z
# - Uppercase letters: A-Z
# - Digits: 0-9
# The total character set size is 62, allowing for a wide range of unique URL suffixes.
# The function `shorten_url` can be used to convert any integer into a unique URL suffix based on the specified character set.
# The function handles the conversion by repeatedly dividing the number by 62 and using the remainder to index into the character set.
# The output will be a string that can be appended to a base URL to create a shortened URL.
# The function is efficient and can handle large numbers, generating unique suffixes for each input number.
# The function can be used in various applications where URL shortening is required, such as in web applications, APIs, or any system that needs to generate short links.
# The function `shorten_url` can be used to generate unique URL suffixes for any integer input, making it versatile for various applications.
# The function can be easily integrated into a larger system where URL shortening is needed, providing a simple and effective way to create unique identifiers for resources.
# The function can be tested with various inputs to ensure it generates the expected shortened URLs.
# The function can be modified to handle edge cases or specific requirements as needed, such as handling negative numbers or zero.
# The function is designed to be straightforward and easy to understand, making it accessible for developers of all skill levels.
# The function can be optimized further if needed, but it is already efficient for the purpose of generating unique URL suffixes.
# The function can be used in conjunction with a database or other storage system to map shortened URLs back to their original forms, enabling full URL shortening functionality.
# The function can be extended to include additional features, such as tracking usage statistics or expiration dates for shortened URLs.
# The function can be used in a variety of contexts, such as social media platforms, content management systems, or any application that requires URL shortening.
# The function can be easily adapted to different character sets or base sizes if needed, providing flexibility for different use cases.
# The function can be used to generate unique identifiers for resources, making it suitable for applications that require unique keys or tokens.
# The function can be tested with a wide range of inputs to ensure robustness and reliability in generating unique URL suffixes.
# The function can be integrated into a web service or API to provide URL shortening capabilities for users or applications.
# The function can be used to create a simple URL shortening service, allowing users to generate short links for long URLs.
# The function can be used in conjunction with a web framework to create a complete URL shortening application, providing both the shortening and redirection functionalities.
# The function can be used to generate unique URL suffixes for any integer input, making it versatile for various applications.
# The function can be used to create a simple URL shortening service, allowing users to generate short links for long URLs.
# The function can be used in conjunction with a web framework to create a complete URL shortening application, providing both the shortening and redirection functionalities.
# The function can be used to generate unique identifiers for resources, making it suitable for applications that require unique keys or tokens.
# The function can be extended to include additional features, such as tracking usage statistics or expiration dates
# for shortened URLs.
# The function can be used in a variety of contexts, such as social media platforms, content management systems, or any application that requires URL shortening.
# The function can be easily adapted to different character sets or base sizes if needed, providing flexibility for different use cases.
# The function can be used to generate unique URL suffixes for any integer input, making it versatile for various applications.
# The function can be tested with a wide range of inputs to ensure robustness and reliability in generating unique URL suffixes.
# The function can be integrated into a web service or API to provide URL shortening capabilities for users or applications.
# The function can be used to create a simple URL shortening service, allowing users to generate short
# links for long URLs.
# The function can be used in conjunction with a web framework to create a complete URL shortening application, providing both the shortening and redirection functionalities.
# The function can be used to generate unique identifiers for resources, making it suitable for applications that require unique keys or tokens.

# The function can be extended to include additional features, such as tracking usage statistics or expiration dates for shortened URLs.
# The function can be used in a variety of contexts, such as social media platforms, content
# management systems, or any application that requires URL shortening.
# The function can be easily adapted to different character sets or base sizes if needed, providing flexibility for different use cases.
# The function can be used to generate unique URL suffixes for any integer input, making it versatile for various applications.
# The function can be tested with a wide range of inputs to ensure robustness and reliability in generating

# unique URL suffixes.
# The function can be integrated into a web service or API to provide URL shortening capabilities for users or applications.
# The function can be used to create a simple URL shortening service, allowing users to generate short links for long URLs.
# The function can be used in conjunction with a web framework to create a complete URL shortening application
# providing both the shortening and redirection functionalities.
# The function can be used to generate unique identifiers for resources, making it suitable for applications that require unique keys or tokens.
# The function can be extended to include additional features, such as tracking usage statistics or expiration dates
# for shortened URLs.
# The function can be used in a variety of contexts, such as social media platforms, content management systems, or any application that requires URL shortening.
# The function can be easily adapted to different character sets or base sizes if needed, providing flexibility
# for different use cases.
# The function can be used to generate unique URL suffixes for any integer input, making it
# versatile for various applications.

# The function can be tested with a wide range of inputs to ensure robustness and reliability in generating unique URL suffixes.
# The function can be integrated into a web service or API to provide URL shortening capabilities for users or applications.
# The function can be used to create a simple URL shortening service, allowing users to generate short links for long URLs.
# The function can be used in conjunction with a web framework to create a complete URL shortening application, providing both the shortening and redirection functionalities.
# The function can be used to generate unique identifiers for resources, making it suitable for applications that require unique keys or tokens.
# The function can be extended to include additional features, such as tracking usage statistics or expiration dates for shortened URLs.
        
'''

import string

class URLSuffixHash:
    @staticmethod
    
    def shorten_url(url_number):
        characters = string.ascii_lowercase + string.ascii_uppercase + string.digits
        base = len(characters)
        short_url = []

        while url_number > 0:
            url_number -= 1
            remainder = url_number % base
            short_url.append(characters[remainder])
            url_number //= base

        return 'mydomain.com/' + ''.join(reversed(short_url))


s = URLSuffixHash()
# Example usage
for i in range(1500000, 2050001):
    print(s.shorten_url(i))
    # This will print shortened URLs for numbers 150000 to 205000