There are many govt. colleges for the CSE branch and all you have to do is you have to go for the counselling rounds for the admission and according to your merit rank you will get the college of your choice. According to the previous year's result the rank for the compute science branch was 306 and closing rank was around 4000 in govt. college. There are high chances of you to get the govt. college. also I am sharing a link where you can find out the cutoff collegewise and branch wise list on carrer360s platform which will help you a lot in the admissions.
https://engineering.careers360.com/articles/upsee-cutoff/amp#aoh=15596326733625&csi=1&referrer=https%3A%2F%2Fwww.google.com&_tf=From%20%251%24s
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