is killing a right judgement???

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we have heard of people being killed for their crimes in ceratin countries. Is it right to kill a person , even though he might have done a greatest crime??? r we not taking away some 1's life . Is it right to do it ?? even putting a person in jail is horrible thing , cuz the person is going to miss a whole life ttime of good times. that too if a person is innocent and still punished that will be the most horrible ver to happen in his life.