Is it part of being saved to inform those who don't believe as you that they are doomed?

Does your pastor tell you that you have to inform everyone of their damnation? What part of your faith tells you that judgment must be given by you personally? If you don't inform people of their damnation, will you be going to hell?
Update: ETA: Do you have to wait for the person to ask you or do you just tell them what you want to tell them?
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