Posted 31 January 2013 - 05:34 PM
You mean a backup of, literally, the installed operating system, or an image of the installation disc? If the former (if I understood you correctly) then depending on what your backup is (a .iso, presumably) your target partition needs to be exactly the same size as the original partition, otherwise it won't work properly. Is there any problem just wiping your HDD, creating a fresh new unique partition and dumping your backup OS there? You can always repartition it after.
The slowsort algorithm is a perfect illustration of the multiply and surrender paradigm, which is perhaps the single most important paradigm in the development of reluctant algorithms. The basic multiply and surrender strategy consists in replacing the problem at hand by two or more subproblems, each slightly simpler than the original, and continue multiplying subproblems and subsubproblems recursively in this fashion as long as possible. At some point the subproblems will all become so simple that their solution can no longer be postponed, and we will have to surrender. Experience shows that, in most cases, by the time this point is reached the total work will be substantially higher than what could have been wasted by a more direct approach.
- Pessimal Algorithms and Simplexity Analysis