Find out base of the following arithmetic operation.
So for example 41/3=13 is true in base 8.
Another example: 23+44+14+32=223 is true in base 5.
You are given a string with an arithmetic equation. Return the base.
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is the last one rounded?? should be 12.121??
J.R. I believe that 4 is correct. It translates to 50/8, which is 6.25 in base 10. In base 4, that equals 12.1, as the number behind the decimal is 1/4.
However, I think #3 should be '41^0.3=5', since (presumably) you're trying to take the square root of 41. In base 6, 0.5 is 5/6, and 25^(5/6) is not a rational number in any base.
Please correct me if I'm wrong on this, as it's been a while since I've dealt with base 6 decimals. :-)
J.R.! Menzinger.. No, it is 12.1 only.
James, I will correct , it is 41^0.5
James
#3 , assume base is b. and convert to decimal and square on both sides and you will get correct base system.
Ok! I understand... ;-)
The hint: use rationals.
Pritesh, I sent an e-mail with some further questions, as the formatting in the comments section would make it unreadable.
James, Done... Also, added new test case, which is suggested by you...
Glad I could help. Now I just need to solve the problem! :-)