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Hi there,
According to your rank,you have very low chances of getting CS branch in good Nit/IIITs. You might get in some lower north east Nits. So it's better that you should go till last round and also till special rounds of councelling to increase the chances of getting CS branch but chances are very low. You can get some average branches like ECE,Mech,IT in some good Nits,So I think you should opt for them but again it's totally depends on your choice.
You can use the following to predict the colleges based on your rank:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Good Luck!!
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