Represent Integers with 2000 or more digits
Handling large numbers in C++?
Almost half of disk space unaccounted for on Windows 7 computer I'm trying to determine what's eating almost half of disk on my Windows 7 Lenovo laptop but haven't been able to determine what.  I read some of the answers on this site but none of the causes seems to be the cause of my problem.  What I've done so far:   Checked Windows' System Restore points but only minimum use, either way I deleted around 2GB if usage from there Used WinDirStat and it came back with a total of 71.3GB usage at the root level C Drives properties says 135GB being used out of 138 GB total, ie, 135 GB - 71.3GB = 63.7GB missing somewhere No "Unknown" files reported by WinDirStat Windows Disk Management utility doesn't report any unused partitions or unclaimed space chkdsk comes out clean Windows disk cleanup tool doesn't report anything big, just small stuff in the lower MB range Lenovo backup tool hasn't been used nor there is a folder for the backup images   Any idea on what to look at and/or do?  EDIT: some additional info... Given that every class gets a minimum of 5 ability score improvements each at levels 4, 8, 12, 16, and 19 (Rogue and Fighter get more at other levels), do these ability score improvements occur by character level or by class level?  For example, is it possible to create a character who never once gains a single ability score improvement by reaching level 3 in a class and then switching to a different class repeatedly?  I had originally thought the 5 that every class gets would occur by character level, so for example a sorcerer1/bard3 would earn an ability score improvement for reaching character level 4. But there are others who have expressed the opinion that this is wrong. Question is pretty much in the title: is it possible for an alliance to win as one, instead of a single player being the winner?  And if there is such way, is there a difference between classic and disharmony? I have 3987MB of RAM on my laptop. Task (System) Manager says that I am using 700MB of this RAM, whilst the command "free -m" says I am using nearly 1500MB. Which one is correct and why do they show two different values?   Thanks for any help. How does a sarlacc gain any energy if it keeps victims alive for a thousand years? When eaten by a sarlacc, according to C-3PO,     In his belly, you will find a new definition of pain and suffering, as you are slowly digested over a thousand years.   I imagine that keeping a victim alive for a thousand years takes much more energy than is available to the sarlacc from the body of the victim.  Thus, keeping victims alive for so long would seem to be a net loss of energy for the sarlacc.  Is there a canon answer to resolve this conundrum?  Did the sarlacc have another energy source (for example, ability to harvest sunlight)? Remove last character from line I need help with this exercise.  I need to prove $$\int_{0}^{1}x^{-x}\ dx=\sum_{n=1}^{\infty}n^{-n}$$  I think I should use some convergence theorem, but I'm stuck.  Thanks a lot! So I know the basic gist is that fusion power's main issue is sustaining the fusion. I also know that there are two methods. The Torus method and the laser method. The torus magnetically contains plasma and heats it with radiation and accelerates the plasma around to make strong enough collisions that protons fuse. The laser method uses 192 lasers and focuses it on tiny frozen hydrogen pellets and aims to initiate fusion each time pellets are dropped.  The though struck me when we could sorta combine the two designs together. The torus doesn't have to worry about making fusion happen at a specific location but it has issues in that the plasma is unevenly heated and leaks. On the other hand, the laser design is extremely complicated in the level of precision needed and would have to repeat this for every pellet. This lead me to think to make something precise and contained at the same time.  I see that particle colliders are able to direct two beams of protons and have them collide at a specific spot with a very precise energy. Couldn't we tune the energy of the two beams of protons to the energy required for them to fuse? We have the ability to smash them into bits, surely we have the ability to have them fuse. (I'm thinking about the type of collider that circles two beams in opposite directions)  It would be at much lower energies than normal colliders and would be very precise and it would be possible to fuse at a specific location that has greater leeway because for protons that missed collision, they'd just circle around again! Thus protons would efficiently be used and very little would be wasted. There wouldn't be problems of plasma leakage because we are focusing them in a thin tight beam.   It seems that this idea has girth, or I feel this way at least, can someone back me up by offering some calculations on how to calculate the efficiency? How would I go about calculating the two circling beams of protons and at what specific velocity would be needed? etc. What is the quantum mechanical explanation of the octet rule? What is the quantum mechanical explanation of the ? In other words, what makes the octet rule be true from a quantum mechanical view? How we explain  what makes some atoms don't follow the octet rule using QM? How to control internet access for each program? I would like to use a software to control which program may connect to the internet. I know that this behaviour is associated with the word "firewall", but some Linux users are very upset if somebody demands a Personal Firewall. I don't want to upset you by demand such a program. I don't want to "secure ports" or other stuff a Personal Firewall promises on Windows. I looked into iptables but it does not fit my requirements.  I saw an excellent answer here () but it's very uncomfortable to set this up.  Is there a software that asks for each program if it may access the internet? Can someone please suggest a query to directly see the number of answers I posted that were accepted. Right now I have to manually count from total given answers.  Hope there is an easy way. When it's OK to omit "where?" How many levels are there for Steam Trading Card badges? With the new Steam Trading Cards, I decided to craft the badge for CS:GO. I got this:    I then noticed that this is only a level 1 badge, and there was a level 2 badge to get. So I crafted it too:    Now it says there's a level 3 badge to get next. How many levels are there in total? Someone has asked for answer to these topics. However, I still want someone to provide me with simple and universal answers. I recently read a sentence from the English-speaking person. It is in an article. It is, ' The available options for mitigating pad cratering are not universally effective (see link below), but they may be helpful on a case by case basis until more crack resistant laminates are developed and become available.  '  If I am to write this, I will use 'a case-by-case basis until more crack-resistant laminates'   Can anyone tell me when to use a hyphen to coin a new word? Origin and correctness of “ain’t no”? In contemporary American English usage, I come across sentences like:   I ain’t got no money.  Ain’t no man like him.    Saying ain’t no sounds incorrect to me because it is a double negative.  What is the origin of this particular construction? I wasn’t able to find anything online related to the origins of this incorrect usage. In iOS 8.4.1, if a caller who has 6 numbers, calls you and you see a missed call. Then, clicking the "i" symbol next to the missed call showed you all the 6 numbers of the caller and the number from which he called, was indicated with blue. This helped in knowing exactly what number he called me from and I could call back on the same number.  iOS 9.0.1 call log does not indicate the number the caller called from with blue (if the caller has more than one number). So, it becomes impossible to call the person back on the same number.  This was one very important feature that made iOS 8 very useful. Apple has taken away a very important feature. How to remove URI encoding from file names? I realise this might be quite a simple question, but I'm still quite new to the command line and only have a grasp of basic commands.  I've downloaded some lecture presentations (~25 or so) from my University however on doing so they've been named things like...  L2%20Development%20of%20immune%20system.pptx L4%20Molecular%20Recognition.pdf   As you can see they've downloaded with the URL encoding %20 instead of a space.  My question is how to batch rename all of these files so that the %20 is removed and replaced with a space instead? Arbitrary products of quasi-coherent sheaves? Understanding imaginary exponents I was having a discussion with a friend of mine about some normal group properties and then came up with the question "if G is not commutative, then is there always a subgroup that is not a normal subgroup?" It's probably more easy to solve this in the following form:$$\forall H \leq G : H  \lhd G \Rightarrow \forall a,b \in G : ab=ba$$ My question is, can anybody give a proof, or a counter-example (because I don't think it holds) of this theorem? Thanks!