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Kezdőoldal » Tudományok » Természettudományok » Hányféle út létezik?

Hányféle út létezik?

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Van egy n-szer m-es mátrix. Az 1 1 pozícióból hány út vezet az n,m-es pozícióba ha balra,jobbra,fel,le és kereszt irányokba léphetünk egyet (úgy mint a sakkba a király)
2011. dec. 18. 00:08
 1/10 Shai-Hulud ***** válasza:

A Tao szerint csak egy igaz út van!


:-D Pedro

2011. dec. 18. 01:02
Hasznos számodra ez a válasz?
 2/10 anonim ***** válasza:

Most két lehetőség van:


Az első, amikor egy pozíciót csak egyszer lehet igénybe venni.


A másik, amikor többször is vissza lehet térni ugyanabba a pozícióba. Ebben az esetben végtelen sok útvonal létezik.

2011. dec. 18. 01:36
Hasznos számodra ez a válasz?
 3/10 A kérdező kommentje:

@01:36

Ez a NxM-es mátrix tulajdonképpen egy gráf.

Egy séta szomszédos csúcsok és élek váltakozó sorozata.

Az önmagát nem metsző sétát útnak hívunk.

2011. dec. 18. 11:53
 4/10 anonim ***** válasza:

fú ez elég nehéz feladat volna :D bejáróalgoritmust lehetne rá írni ami összeszámolja, de m és n függvényében megadni a képletet :S


az biztos hogy problémaredukcióval érdemes elkezdeni próbálkozni, megnézi 1*1es mátrixot, 1*2est, 1*3mast 2*3mast, szerencsére a 2*1es 3*1es 3*2es kizárható mert az mind1 hogy m*n vagy n*m. aztán kiokoskodni valami képletet rájuk, és megnézni hogy későbbi mátrixokra alkalmazva jó megoldást ad-e. 1*xes mátrix esetleg tekinthető speciális esetnek külön képlettel, meg lehet hogy számít az is hogy páros vagy páratlan sor/oszlop van-e.

2011. dec. 18. 13:25
Hasznos számodra ez a válasz?
 5/10 A kérdező kommentje:

"bejáróalgoritmust lehetne rá írni ami összeszámolja, de m és n függvényében megadni a képletet :S"

Bejáró algoritmus (saját készítésű szoftver) megvan, exponenciális futási idejű.


"1*xes mátrix esetleg ..."

1*x-es-ben 1 lehetséges út van, nincs lehetősége máshogy menni.


"az biztos hogy problémaredukcióval érdemes elkezdeni próbálkozni, megnézi ..."

Hogy alkalmazod rajta a problémaredukciót?

Ide írom a szoftver által generált kimenetet(több eset mint amit írtál példának,de azok is benne vannak):

= = = = = = = = = = =

1x1

[1,1]

1 db ut letezik.

= = = = = = = = = = =

1x2

[1,1] [1,2]

1 db ut letezik.

= = = = = = = = = = =

2x2

[1,1] [1,2] [2,1] [2,2]

[1,1] [1,2] [2,2]

[1,1] [2,1] [1,2] [2,2]

[1,1] [2,1] [2,2]

[1,1] [2,2]

5 db ut letezik.

= = = = = = = = = = =

1x3

[1,1] [1,2] [1,3]

1 db ut letezik.

= = = = = = = = = = =

2x3

[1,1] [1,2] [1,3] [2,2] [2,3]

[1,1] [1,2] [1,3] [2,3]

[1,1] [1,2] [2,1] [2,2] [1,3] [2,3]

[1,1] [1,2] [2,1] [2,2] [2,3]

[1,1] [1,2] [2,2] [1,3] [2,3]

[1,1] [1,2] [2,2] [2,3]

[1,1] [1,2] [2,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [2,3]

[1,1] [2,1] [1,2] [1,3] [2,3]

[1,1] [2,1] [1,2] [2,2] [1,3] [2,3]

[1,1] [2,1] [1,2] [2,2] [2,3]

[1,1] [2,1] [1,2] [2,3]

[1,1] [2,1] [2,2] [1,2] [1,3] [2,3]

[1,1] [2,1] [2,2] [1,2] [2,3]

[1,1] [2,1] [2,2] [1,3] [1,2] [2,3]

[1,1] [2,1] [2,2] [1,3] [2,3]

[1,1] [2,1] [2,2] [2,3]

[1,1] [2,2] [1,2] [1,3] [2,3]

[1,1] [2,2] [1,2] [2,3]

[1,1] [2,2] [1,3] [1,2] [2,3]

[1,1] [2,2] [1,3] [2,3]

[1,1] [2,2] [2,1] [1,2] [1,3] [2,3]

[1,1] [2,2] [2,1] [1,2] [2,3]

[1,1] [2,2] [2,3]

24 db ut letezik.

= = = = = = = = = = =

3x3

[1,1] [1,2] [1,3] [2,2] [2,1] [3,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [1,3] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,2] [2,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [1,3] [2,2] [2,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,2] [2,3] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,2] [2,3] [3,3]

[1,1] [1,2] [1,3] [2,2] [3,1] [2,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [1,3] [2,2] [3,1] [2,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,2] [3,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [1,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,2] [3,2] [2,3] [3,3]

[1,1] [1,2] [1,3] [2,2] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [2,2] [2,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [2,2] [3,1] [2,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [2,2] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [2,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,2] [2,1] [2,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,2] [2,1] [3,1] [2,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,2] [2,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,2] [3,1] [2,1] [2,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,2] [3,1] [2,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,1] [2,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [1,2] [2,1] [2,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,1] [2,2] [2,3] [3,2] [3,3]

[1,1] [1,2] [2,1] [2,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [2,2] [3,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [2,2] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,1] [2,2] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [2,2] [3,2] [3,3]

[1,1] [1,2] [2,1] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [2,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [2,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,1] [2,2] [2,3] [3,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [2,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,1] [2,2] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,1] [2,2] [3,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [3,2] [2,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,1] [3,2] [2,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,1] [3,2] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [3,2] [2,3] [1,3] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [3,2] [2,3] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,1] [3,2] [2,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,2] [2,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,2] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,2] [2,3] [1,3] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,2] [2,3] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,2] [3,1] [2,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,2] [3,1] [2,2] [2,3] [3,3]

[1,1] [1,2] [2,1] [3,2] [3,1] [2,2] [3,3]

[1,1] [1,2] [2,1] [3,2] [3,3]

[1,1] [1,2] [2,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [1,2] [2,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,2] [2,1] [3,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,2] [2,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,2] [2,1] [3,2] [3,3]

[1,1] [1,2] [2,2] [2,3] [3,2] [3,3]

[1,1] [1,2] [2,2] [2,3] [3,3]

[1,1] [1,2] [2,2] [3,1] [2,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,2] [3,1] [2,1] [3,2] [3,3]

[1,1] [1,2] [2,2] [3,1] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,2] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,2] [3,2] [2,3] [3,3]

[1,1] [1,2] [2,2] [3,2] [3,3]

[1,1] [1,2] [2,2] [3,3]

[1,1] [1,2] [2,3] [1,3] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [1,3] [2,2] [2,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [1,3] [2,2] [3,1] [2,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [1,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [1,3] [2,2] [3,2] [3,3]

[1,1] [1,2] [2,3] [1,3] [2,2] [3,3]

[1,1] [1,2] [2,3] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [2,2] [2,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [2,2] [3,1] [2,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,3] [2,2] [3,2] [3,3]

[1,1] [1,2] [2,3] [2,2] [3,3]

[1,1] [1,2] [2,3] [3,2] [2,1] [2,2] [3,3]

[1,1] [1,2] [2,3] [3,2] [2,1] [3,1] [2,2] [3,3]

[1,1] [1,2] [2,3] [3,2] [2,2] [3,3]

[1,1] [1,2] [2,3] [3,2] [3,1] [2,1] [2,2] [3,3]

[1,1] [1,2] [2,3] [3,2] [3,1] [2,2] [3,3]

[1,1] [1,2] [2,3] [3,2] [3,3]

[1,1] [1,2] [2,3] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [2,3] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [3,2] [2,3] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [3,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,3] [2,2] [3,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,3] [2,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,3] [3,2] [2,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,3] [3,2] [3,1] [2,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [1,2] [2,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [1,2] [2,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,2] [2,3] [3,3]

[1,1] [2,1] [1,2] [2,2] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,1] [1,2] [2,2] [3,1] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,2] [3,2] [2,3] [3,3]

[1,1] [2,1] [1,2] [2,2] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [1,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [1,3] [2,2] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [1,3] [2,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [2,2] [3,1] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [2,2] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [2,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [3,2] [2,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [3,2] [3,1] [2,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [1,2] [2,3] [3,3]

[1,1] [2,1] [2,2] [1,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,1] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [2,2] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [2,2] [1,2] [2,3] [3,3]

[1,1] [2,1] [2,2] [1,3] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [2,2] [1,3] [1,2] [2,3] [3,3]

[1,1] [2,1] [2,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,1] [2,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [2,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [2,2] [2,3] [3,3]

[1,1] [2,1] [2,2] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,1] [2,2] [3,1] [3,2] [3,3]

[1,1] [2,1] [2,2] [3,2] [2,3] [3,3]

[1,1] [2,1] [2,2] [3,2] [3,3]

[1,1] [2,1] [2,2] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,3] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,3] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,1] [3,1] [2,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,1] [2,2] [2,3] [3,2] [3,3]

[1,1] [2,1] [3,1] [2,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [2,2] [3,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [2,2] [3,2] [3,3]

[1,1] [2,1] [3,1] [2,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [1,3] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,3] [1,2] [1,3] [2,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,3] [1,2] [2,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,3] [1,3] [1,2] [2,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,3] [1,3] [2,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,3] [2,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [3,3]

[1,1] [2,1] [3,2] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,2] [2,2] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,2] [2,2] [1,3] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,2] [2,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,2] [2,2] [2,3] [3,3]

[1,1] [2,1] [3,2] [2,2] [3,3]

[1,1] [2,1] [3,2] [2,3] [1,2] [1,3] [2,2] [3,3]

[1,1] [2,1] [3,2] [2,3] [1,2] [2,2] [3,3]

[1,1] [2,1] [3,2] [2,3] [1,3] [1,2] [2,2] [3,3]

[1,1] [2,1] [3,2] [2,3] [1,3] [2,2] [3,3]

[1,1] [2,1] [3,2] [2,3] [2,2] [3,3]

[1,1] [2,1] [3,2] [2,3] [3,3]

[1,1] [2,1] [3,2] [3,1] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,2] [3,1] [2,2] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,2] [3,1] [2,2] [1,3] [1,2] [2,3] [3,3]

[1,1] [2,1] [3,2] [3,1] [2,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,2] [3,1] [2,2] [2,3] [3,3]

[1,1] [2,1] [3,2] [3,1] [2,2] [3,3]

[1,1] [2,1] [3,2] [3,3]

[1,1] [2,2] [1,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,2] [1,2] [2,1] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [1,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [2,2] [1,2] [2,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [1,2] [2,1] [3,2] [3,3]

[1,1] [2,2] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,2] [1,2] [2,3] [3,3]

[1,1] [2,2] [1,3] [1,2] [2,1] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [1,3] [1,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [2,2] [1,3] [1,2] [2,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [1,3] [1,2] [2,1] [3,2] [3,3]

[1,1] [2,2] [1,3] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,2] [1,3] [1,2] [2,3] [3,3]

[1,1] [2,2] [1,3] [2,3] [1,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [2,2] [1,3] [2,3] [1,2] [2,1] [3,2] [3,3]

[1,1] [2,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,2] [1,3] [2,3] [3,3]

[1,1] [2,2] [2,1] [1,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,2] [2,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,2] [2,1] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,2] [2,1] [1,2] [2,3] [3,3]

[1,1] [2,2] [2,1] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [2,2] [2,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [2,1] [3,2] [3,3]

[1,1] [2,2] [2,3] [1,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [2,2] [2,3] [1,2] [2,1] [3,2] [3,3]

[1,1] [2,2] [2,3] [1,3] [1,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [2,2] [2,3] [1,3] [1,2] [2,1] [3,2] [3,3]

[1,1] [2,2] [2,3] [3,2] [3,3]

[1,1] [2,2] [2,3] [3,3]

[1,1] [2,2] [3,1] [2,1] [1,2] [1,3] [2,3] [3,2] [3,3]

[1,1] [2,2] [3,1] [2,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,2] [3,1] [2,1] [1,2] [2,3] [3,2] [3,3]

[1,1] [2,2] [3,1] [2,1] [1,2] [2,3] [3,3]

[1,1] [2,2] [3,1] [2,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [3,1] [2,1] [3,2] [3,3]

[1,1] [2,2] [3,1] [3,2] [2,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,2] [3,1] [3,2] [2,1] [1,2] [2,3] [3,3]

[1,1] [2,2] [3,1] [3,2] [2,3] [3,3]

[1,1] [2,2] [3,1] [3,2] [3,3]

[1,1] [2,2] [3,2] [2,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,2] [3,2] [2,1] [1,2] [2,3] [3,3]

[1,1] [2,2] [3,2] [2,3] [3,3]

[1,1] [2,2] [3,2] [3,1] [2,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,2] [3,2] [3,1] [2,1] [1,2] [2,3] [3,3]

[1,1] [2,2] [3,2] [3,3]

[1,1] [2,2] [3,3]

235 db ut letezik.

2011. dec. 18. 23:51
 6/10 anonim ***** válasza:

uhh a kereszt irányt nem is láttam, azt nem kéne kivenni? :D csodálkoztam hogy hogy jött ki ilyen sok lépés 3*3ra.


de erre gondoltam jah, hogy kis mátrixokra megnézni, átgondolni azokat hogyan járja be, és úgy. de 200+ utat nehéz átlátni, ezért lenne érdemes sztem a keresztlépést kivenni. ha muszáj a keresztlépés, akkor valami alapján próbáld kategóriákra osztani a bejárási utakat, vagy al-részekre, nemtudom.


jah igen az 1xi-s mátrixot nem gondoltam át csak leírtam :D


ajánlottam volna a genetikus algoritmust is, hogy azzal gyárts képleteket, de ha már 3x3mas mátrixra ilyen nagy számot kell találnia, akkor valszeg az felejtős.

2011. dec. 19. 03:18
Hasznos számodra ez a válasz?
 7/10 A kérdező kommentje:

Kivettem a kereszt irányokat,lényegesen kevesebb út van.

Mindössze ennyi:

= = = = = = = = = = =

1x1

[1,1]

1 db ut letezik.

= = = = = = = = = = =

1x2

[1,1] [1,2]

1 db ut letezik.

= = = = = = = = = = =

2x2

[1,1] [1,2] [2,2]

[1,1] [2,1] [2,2]

2 db ut letezik.

= = = = = = = = = = =

1x3

[1,1] [1,2] [1,3]

1 db ut letezik.

= = = = = = = = = = =

2x3

[1,1] [1,2] [1,3] [2,3]

[1,1] [1,2] [2,2] [2,3]

[1,1] [2,1] [2,2] [1,2] [1,3] [2,3]

[1,1] [2,1] [2,2] [2,3]

4 db ut letezik.

= = = = = = = = = = =

3x3

[1,1] [1,2] [1,3] [2,3] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [2,2] [3,2] [3,3]

[1,1] [1,2] [1,3] [2,3] [3,3]

[1,1] [1,2] [2,2] [2,1] [3,1] [3,2] [3,3]

[1,1] [1,2] [2,2] [2,3] [3,3]

[1,1] [1,2] [2,2] [3,2] [3,3]

[1,1] [2,1] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [2,2] [2,3] [3,3]

[1,1] [2,1] [2,2] [3,2] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [1,2] [1,3] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [2,2] [2,3] [3,3]

[1,1] [2,1] [3,1] [3,2] [3,3]

12 db ut letezik.


Erre valami konkrét ötlet?

2011. dec. 19. 18:52
 8/10 A kérdező kommentje:

Most csak kereszt irányokba mehet, beraktam több mátrixot, jelentősen kevesebb út van így is.

= = = = = = = = = = =

1x1

[1,1]

1 db ut letezik.

= = = = = = = = = = =

1x2

0 db ut letezik.

= = = = = = = = = = =

2x2

[1,1] [2,2]

1 db ut letezik.

= = = = = = = = = = =

1x3

0 db ut letezik.

= = = = = = = = = = =

2x3

0 db ut letezik.

= = = = = = = = = = =

3x3

[1,1] [2,2] [3,3]

1 db ut letezik.

= = = = = = = = = = =

3x4

0 db ut letezik.

= = = = = = = = = = =

4x4

[1,1] [2,2] [1,3] [2,4] [3,3] [4,4]

1 db ut letezik.

= = = = = = = = = = =

2x5

0 db ut letezik.

= = = = = = = = = = =

3x5

[1,1] [2,2] [1,3] [2,4] [3,5]

1 db ut letezik.

= = = = = = = = = = =

4x5

0 db ut letezik.

= = = = = = = = = = =

5x5

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,3] [4,4] [5,5]

1 db ut letezik.

= = = = = = = = = = =

3x6

0 db ut letezik.

= = = = = = = = = = =

5x6

0 db ut letezik.

= = = = = = = = = = =

6x6

[1,1] [2,2] [1,3] [2,4] [1,5] [2,6] [3,5] [4,4] [3,3] [4,2] [5,1] [6,2] [5,3] [6,4] [5,5] [6,6]

1 db ut letezik.

= = = = = = = = = = =

7x7

[1,1] [2,2] [1,3] [2,4] [1,5] [2,6] [3,5] [4,4] [3,3] [4,2] [5,1] [6,2] [5,3] [6,4] [5,5] [4,6] [5,7] [6,6] [7,7]

1 db ut letezik.

2011. dec. 19. 19:05
 9/10 anonim ***** válasza:

nézd meg a 3x4est, 4x4est, 4x5öst, 5x5öst, 5x6ost is, csak hogy mennyi az eredmény, és megpróbálni egy képletet találni aminél kijön m és n behelyettesítésével a jó eredmény, de külön képletet keress a 2x2es 4x4eshez, 2x3mas 4x5öshöz, 3x4es 5x6oshoz, 3x3as 5x5öshöz szerintem. bár lehet hogy 2x2 3x3 4x4 5x5höz jó lesz végül ugyanaz, nemtudom.


3x3mas meg 2x3mas az nem egy kategória mert a 2x3masba nem lehet mindig szimmetrikusan ugyanazt megcsinálni pl, 3x3masnál látszik hogy az ugyanolyan hosszú bejárások azok párosok, szerintem 5x5ös is ezért kb ugyanaz az eset.


ajánlottam a genetikus algoritmust, esetleg ha van kedved megpróbálhatod, a lényeg az volna, hogy pl kitűzöd magadnak a páros*páratlan mátrixokat, szal 2x3, 2x5, 4x5 (4x3 az 3x4nek felel meg, szal az páratlan*páros igazából), és tenyésztesz egy populációt, amiben felépítesz képleteket véletlenszerűen, pl ilyen elemei lehetnének: m*n, m+n, (m-1)*n, (m-1)^n, m^(n-1)+n^2, satöbbi


az első körben megnéznéd hogy melyik képlet működik 2x3as mátrixra, magyarul pl 2*3, 2+3, (2-1)*3 egyenlő-e az általad már elkészített algoritmusod 2*3as mátrixra adott eredményénvel. ha egy függvény egyenlő volna, akkor a jósága az 1es lenne. aztán megnézed hogy a 2*5ös mátrixra jó eredményt ad-e? ha igen akkor 2es jóság, és így tovább.


ezután a rossz eredményeket elvetnéd, helyükre generálnál teljesen új képleteket, vagy változtatnád a működő, már meglévő képleteket.


mégtöbb info a GA-ról:

[link]



UI: lehet írtam megint pár hülyeséget, ez azért van, mert nem gondoltam ebbe igazán bele, csak próbálok 5leteket adni :D

2011. dec. 19. 19:16
Hasznos számodra ez a válasz?
 10/10 A kérdező kommentje:

A @19:05-nél eltoltam egy logikai értékadás sort is kicementeltem véletlen a 7x7-est ide nem írom mert nem akarom terhelni az oldalt mert hosszú lenne.


= = = = = = = = = = =

1x1

[1,1]

1 db ut letezik.

= = = = = = = = = = =

1x2

0 db ut letezik.

= = = = = = = = = = =

2x2

[1,1] [2,2]

1 db ut letezik.

= = = = = = = = = = =

1x3

0 db ut letezik.

= = = = = = = = = = =

2x3

0 db ut letezik.

= = = = = = = = = = =

3x3

[1,1] [2,2] [3,3]

1 db ut letezik.

= = = = = = = = = = =

3x4

0 db ut letezik.

= = = = = = = = = = =

4x4

[1,1] [2,2] [1,3] [2,4] [3,3] [4,4]

[1,1] [2,2] [3,1] [4,2] [3,3] [4,4]

[1,1] [2,2] [3,3] [4,4]

3 db ut letezik.

= = = = = = = = = = =

2x5

0 db ut letezik.

= = = = = = = = = = =

3x5

[1,1] [2,2] [1,3] [2,4] [3,5]

[1,1] [2,2] [3,3] [2,4] [3,5]

2 db ut letezik.

= = = = = = = = = = =

4x5

0 db ut letezik.

= = = = = = = = = = =

5x5

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,3] [4,4] [5,5]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,4] [5,5]

[1,1] [2,2] [1,3] [2,4] [3,5] [4,4] [5,5]

[1,1] [2,2] [3,1] [4,2] [3,3] [2,4] [3,5] [4,4] [5,5]

[1,1] [2,2] [3,1] [4,2] [3,3] [4,4] [5,5]

[1,1] [2,2] [3,1] [4,2] [5,3] [4,4] [5,5]

[1,1] [2,2] [3,3] [2,4] [3,5] [4,4] [5,5]

[1,1] [2,2] [3,3] [4,2] [5,3] [4,4] [5,5]

[1,1] [2,2] [3,3] [4,4] [5,5]

9 db ut letezik.

= = = = = = = = = = =

3x6

0 db ut letezik.

= = = = = = = = = = =

5x6

0 db ut letezik.

= = = = = = = = = = =

6x6

[1,1] [2,2] [1,3] [2,4] [1,5] [2,6] [3,5] [4,4] [3,3] [4,2] [5,1] [6,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [1,5] [2,6] [3,5] [4,4] [3,3] [4,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [1,5] [2,6] [3,5] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [1,5] [2,6] [3,5] [4,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [1,5] [2,6] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,1] [6,2] [5,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,1] [6,2] [5,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,1] [6,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,5] [4,4] [3,3] [4,2] [5,1] [6,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,5] [4,4] [3,3] [4,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,5] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,5] [4,4] [5,5] [6,6]

[1,1] [2,2] [1,3] [2,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [2,4] [1,5] [2,6] [3,5] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [2,4] [1,5] [2,6] [3,5] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [2,4] [1,5] [2,6] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [2,4] [3,5] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [2,4] [3,5] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [2,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [3,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,1] [6,2] [5,3] [4,4] [3,3] [2,4] [1,5] [2,6] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,1] [6,2] [5,3] [4,4] [3,3] [2,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,1] [6,2] [5,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,1] [6,2] [5,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,1] [6,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,3] [4,4] [3,3] [2,4] [1,5] [2,6] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,3] [4,4] [3,3] [2,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,1] [4,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [2,4] [1,5] [2,6] [3,5] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [2,4] [1,5] [2,6] [3,5] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [2,4] [1,5] [2,6] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,3] [2,4] [3,5] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [2,4] [3,5] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [2,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,2] [5,1] [6,2] [5,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,2] [5,1] [6,2] [5,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,2] [5,1] [6,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,2] [5,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,2] [5,3] [4,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,2] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,4] [3,5] [4,6] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,4] [5,3] [6,4] [5,5] [6,6]

[1,1] [2,2] [3,3] [4,4] [5,5] [6,6]

53 db ut letezik.

2011. dec. 19. 19:37

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