hahaha...it is so nice of you, actually i was expecting blatant behaviour from your side as most of the people lose their temper as they happen to be weak at their nerves, if their mistakes are pointed out, and this is not unusual as it is inculcated in human nature..
BUT you have accepted your mistake with arms wide open and i highly appreciate this thing, i didn't want to irritate you by proving you wrong but my intentions were good and i sincerely wanted to remove your mistake..
Doubting your capabilities is key to gain knowledge, says Descartes..
i like that attitude of yours..if you need my help, just tell me once, you will find me there...i wish you every luck in all your endeavours..stay blessed..