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up vote 1 down vote favorite Windows 1809 now allows fast first sign-in , i.e., logging on to a PC for the first time looks like this: (Image source: https://docs.microsoft.com/en-us/windows/whats-new/whats-new-windows-10-version-1809) instead of: "Hi... This might take several minutes... etc.". This feature needs to be activated with a group policy. Thus, it must have some drawback---otherwise, it would be enabled by default. What is the drawback? windows-10-v1809 share | improve this question asked Nov 21 at 9:17 Heinzi 1,576 7 19 36

up vote 3 down vote favorite In a practice academic interview of mine, we discussed question six, round one, of the United Kingdom Mathematics Trust's 2015 British Mathematical Olympiad. Which states: A positive integer is called charming if it is equal to 2 or is of the form 3 i 5 j where i and j are non-negative integers. Prove that every positive integer can be written as a sum of different charming integers. Having been able to successfully prove this, afterwards I then went on to implement, in Python, a program which can express any positive integer in terms of the sum of different charming numbers. To do this I start by converting the integer into base 3 so that it is easier to find a charming number that is more than half the value of the original integer, but less than it. This value is then appended to a l