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well video editorials are sure helpful , thank you for working on them.
your welcome brother 
yes I did solved that , but i used Mobius Inversion to derive the formula that i used , and most of my viewers don’t know about Mobius inversion.
So what I am thinking is to develop a number theory course , in which I would cover concepts like ETF , Segmented sieve and Mobius inversion as well.
And then problems like EXPGCD and other similar problems can be solved easily.
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Looking forward to it! 
That’s great ! Hope to see it soon