Tag: Fastest

Fastest algorithm to find all the possible paths of length $n$ from a give node in a directed graph?

I am trying to find the fastest algorithm to find all the possible paths of length $ N$ from a given node in a directed graph.

My solution is to do a modification of breadth first search from the given node for $ N$ iteration. Its time complexity is around $ \theta(V+E)$ . But the problem is $ |V|$ & $ |E|$ becomes exponential because as long as there is an edge, the same node can be visited again.

Can there be a solution of this problem with polynomial time complexity? It seems this problem has optimal substructure solution. Is there any solution using dynamic approach?

What is the fastest path to an Ur-Priest Mystic Theurge

From the Complete Divine, the requirements for the Ur-Priest prestige class are:

  • Any evil
  • Base Saves: Fort +3, Will +3
  • Skill Ranks: Bluff 6, Knowledge (arcana) 5, Knowledge (the planes) 5, Knowledge (religion) 8, Spellcraft 8
  • Feats: Iron Will, Spell Focus (evil)

From the DMG, the requirements for the Mystic Theurge prestige class are:

  • Skill ranks: Knowlege (arcana) 6, Knowledge (religion) 6
  • Spells: Ability to cast 2nd level divine and 2nd level arcane spells.

The divine-side of the Mystic Theurge requirements can be fulfilled with 2 levels of the Ur-Priest class. Given at least 3 levels of an arcane caster class prior to entering Ur-Priest, what combination of base classes gives the fewest number of class levels in order to enter Ur-Priest? The 6 ranks of Bluff combined with a base Fortitude of +3 seem particularly difficult to acquire while still leaving room for at least 3 levels of an arcane caster.

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by: henrike
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Review On Fastest VPN

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Is C the fastest language because most kernels are written in C viz. Unix, DOS and Macintosh?

Hypothetically if there were an OS named YAOS(yet another OS) written in ALWAC (Another language with another compiler), assuming ALWAC is assembly optimized of course. Would ALWAC be comparable to C in performance, given that C is the fastest language that there is.

To rephrase the question: Would it be a good idea to write a language specifically for a kernel plugin like Symbian OS, Purity OS or Nutanix OS to speed up the development without compromising C like performance? A language native to an OS/kernel module, if you will. I mean, C came after Unix, historically, which is what raised this doubt.