Valid Hexadecimal Number

Given a string s, determine whether it represents a valid hexadecimal number.

A valid hexadecimal number may contain the following characters: digits 0-9, letters a-f or A-F. In addition, it may begin with an optional prefix 0x or 0X. The string is considered valid only if, after removing the prefix if present, every character is one of the allowed hexadecimal characters and the remaining string is not empty.

For example:

• 0x1A3F is valid.
• 1B2h is not valid because of the invalid character h.
• ABCDEF is valid.
• 0x is not valid as there are no hexadecimal digits following the prefix.

Your task is to implement this validation using the appropriate programming language as specified.

inputFormat

The input consists of a single line containing a non-empty string s. The string may optionally include a prefix 0x or 0X followed by hexadecimal characters.

outputFormat

Output True if the string is a valid hexadecimal number, otherwise output False. The output should be printed on the standard output.

0x1A3F

True