null terminating a string

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To your first question:
I would go with Paul R’s comment and terminate with '\0'. But the value 0 itself works also fine. A matter of taste. But don’t use the MACRO NULLwhich is meant for pointers.

To your second question:
If your string is not terminated with\0, it might still print the expected output because following your string is a non-printable character in your memory. This is a really nasty bug though, since it might blow up when you might not expect it. Always terminate a string with '\0'.

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