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Flojd-Voršalov algoritam rešava problem najkraćeg puta svih parova.
Floyd-Warshall algorithm solves all pairs shortest paths.
Problem najkraćeg puta može biti definisan bilo za usmerene, neusmerene ili kombinovane grafove.
The shortest path problem can be defined for graphs whether undirected, directed, or mixed.
Sledeći primer ilustruje kako Surbalov algoritam pronalazi najkraći par nesusednih puteva od A do F. Slika A ilustruje težinski graf G. Slika B ilustruje izračunavanje najkraćeg puta P1 odA do F( A-B-D-F).
The following example shows how Suurballe's algorithm finds the shortest pair of disjoint paths from A to F. Figure A illustrates a weighted graph G. Figure B calculates the shortest path P1 from A to F(A-B-D-F).
Džonsonov algoritam rešava problem najkraćeg puta svih parova, i može biti brži od Flojd-Voršalovog algoritma na proređenim grafovima.
Johnson's algorithm solves all pairs shortest paths, and may be faster than Floyd-Warshall on sparse graphs.
Na primer, akočvorovi predstavljaju stanja slagalice kao što je Rubikova Kocka i svaka usmerena grana odgovara jednom potezu, algoritmi najkraćeg puta se mogu koristiti da se pronađe rešenje sa najmanjim brojem poteza.
For example, if vertices represent the states of a puzzle like a Rubik's Cube andeach directed edge corresponds to a single move or turn, shortest path algorithms can be used to find a solution that uses the minimum possible number of moves.
Problem trgovačkog putnika rešava pronalaženje najkraćeg puta tako da se svi gradovi na listi posete samo jednom i da se putnik na kraju vrati u početnu tačku.
The Traveling Salesman Problem is aimed to find the shortest path around the specified amount of cities, visiting each city only once and returning to the start city in the end.
Nema potrebe da svi najkraći putevi budu obnovljeni kao grane prečice: dovoljno je dase uzmu u obzir susedni čvorovi nekih čvorova koji su viši u KH( dok je deo nekog najkraćeg puta i sam najkraći put)..
Not all shortest paths need to be restored as new shortcut edges:it's enough to take in consideration adjacent nodes of some node that are higher in CH(since the sub-path of some shortest path is itself a shortest path)..
Moguće je prilagoditi algoritme najkraćeg puta kako bi se izračunao najširi put, menjajući ih tako da koriste udaljenost uskog grla umesto dužine puta..
It is possible to adapt most shortest path algorithms to compute widest paths, by modifying them to use the bottleneck distance instead of path length.
Kao što vidite, ne garantuje da će pronaći najkraći put.
And you can see that it doesn't necessarily find the shortest path of all.
Kod pretrage prvo u širinu,optimalno bi značilo pronaći najkraći put.
And for breadth-first search,optimal would mean finding the shortest path.
To nije najkraći put“, brzo sam joj odgovorio.
It? s not the shortest way,” I answered quickly.
To baš i nije najkraći put“, odgovorio sam.
This is not the shortest way,” I replied.
To baš i nije najkraći put“, odgovorio sam.
It's not the shortest way," I answered.
To nije najkraći put“, brzo sam joj odgovorio.
Not the shortest way," I answered quickly.
GPS je pokazao da je ovo najkraći put.
GPS showed this was the shortest way.
Ja sam sebi probio najkraći put.
I took the shortest route.
Izazov je naći najkraći put da se poseti svaki cvet tačno jedanput pre povratka u košnicu.
The problem is to find the shortest path that visits every line exactly once.
Uspeh- MC pokazuje najbolji i najkraći put do uspeha i javnog priznanja( kao i kakvu vrstu ponašanja treba da izbegnemo).
MC shows the best and shortest path to success and public recognition(as well as what kind of behavior we should avoid).
Celog meseca, bio sam toliko zarobljen svojom aplikacijom na telefonu da je putovanje na posao postalo samo jedna stvar- najkraći put.
For an entire month, I was so trapped in my mobile app that a journey to work became one thing only: the shortest path.
Konačno, q se uklanja, a Dijkstra algoritam se koristi da pronađe najkraće puteve od svakog čvora s do svakog drugog temena sa novom vrednosti u grafu.
Finally, q is removed, and Dijkstra's algorithm is used to find the shortest paths from each node s to every other vertex in the reweighted graph.
Znaš najkraće puteve do muškarčevog srca, zato lako možeš da šarmiraš svakog momka.
You know the shortest ways to a mans heart, that's why you can easily charm almost every man.
U daljem tekstu preosvećeni Varnava( Beljajev) dodaje:„ Postoji jedna delatnost unauci o spasenju duše, koja čoveka najkraćim putem privodi Bogu.
He wrote further:“There is one act inthe science of salvation, which brings a person to God by the shortest route.
Ako najkraći put postoji, ove dve pretrage će se sresti na istom čvoru v. Najkraći put od s do t sastoji se od puteva od s do v i od v do t.
If the shortest path exists, those two searches will meet at some node v. A shortest path from s to t consists of paths from s to v and from v to t.
Šta mi zaista želimo je algoritam koji kombinuje najbolje delove pohlepne pretrage koja istražuje mali broj čvorova u mnogim slučajevima ipretragu jedinstvenih troškova koja garantuje da pronađe najkraći put.
What we would really like is an algorithm that combines the best parts of greedy search which explores a small number of nodes in many cases anduniform cost search which is guaranteed to find a shortest path.
Da bi pokazali daovaj algoritam pronalazi najkraće puteve, razmotrimo to kontradikcijom: pretpostavimo da postoji put koji je kraći od onog koji smo našli ovim algoritmom: Recimo da u nekom momentu postoji put koji je kraći od onog koji smo pronašli algoritmom.
In order todemonstrate that this algorithm retrieves shortest paths, consider it by contradiction: let's assume(for forward search, identical thing stands for backward search) that there exists a path that is shorter than the one we found with this algorithm: Let's say that at some point there exists a subpath that is shorter than path..
Stoga, ako se najkraći putevi mogu pronaći u- G, tada najduži putevi se takođe mogu pronaći u G. Za većinu grafova, ova transformacija nije korisna zato što stvara cikluse negativne dužine u- G. Ali ako G je usmereni aciklični graf, tada ne mogu biti stvoreni nikakvi negativni ciklusi, inajduži put u G se može pronaći u linearnom vremenu tako što primenimo algoritam linearnog vremena za najkraće puteve u- G, što je takođe usmereni aciklični graf.
Therefore, if shortest paths can be found in- G, then longest paths can also be found in G. For most graphs, this transformation is not useful because it creates cycles of negative length in- G. But if G is a directed acyclic graph, then no negative cycles can be created, anda longest path in G can be found in linear time by applying a linear time algorithm for shortest paths in- G, which is also a directed acyclic graph.
Kliknite ovde za najkraći put sopstvenim vozilom ili gradskim prevozom.
Click here for the shortest/fastest route by car or public transport.
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