Extract Domain Names

You are given a list of URLs each in the format http://www.example.com or https://www.example.com. Your task is to extract and output the domain names from these URLs. If the URL's network location part starts with www., it must be removed. Otherwise, the domain name remains unchanged.

For example, given the URLs http://www.example.com and https://www.test.com, the output should be example.com and test.com respectively.

The formulas in this problem are straightforward: For any URL, if its domain can be represented as www.X, then the answer is X. In LaTeX, one might express this simply as: \(\text{domain} = \begin{cases} X & \text{if } \text{domain} = \texttt{www.}X \\ \text{domain} & \text{otherwise} \end{cases}\).

inputFormat

The input is provided via standard input (stdin) in the following format:

1. The first line contains an integer n denoting the number of URLs.
2. The next n lines each contain a URL string.

outputFormat

For each provided URL, print the extracted domain name on a new line to standard output (stdout).

## sample

2
http://www.example.com
http://www.test.com

example.com
test.com

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