That file is called /etc/passwd, except if you have shadow passwords (like
everyone should).
> Now, how to make it so that only the owner can decrypt his/her own
> password providing the source code for the programs which will do
> encyption and decryption should be publicly available?
The user, by definition, knows his password. Why should he want to decrypt
it ?
Let's go a level higher in what you want to do. What is all this supposed
to be good for ?
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