I am using currently Anaconda with Python 2.7, but I will need to use Python 3.5. Is it ok to have them installed both in the same time? Should I expect some problems?
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Yes, It should be alright to have both versions installed. It's actually pretty much expected nowadays. A lot of stuff is written in 2.7, but 3.5 is becoming the norm. I would recommend updating all your python to 3.5 ASAP, though.