skakavac 2012 prvo kolo ss2 2
Kvaliteta:
Avg: 4,0Težina:
Avg: 5,7 na "cetvrtini" beskonacne kvadratne mreze ( tamo gdje je
i
), igra se sljedeca igra: u kvadraticima s koordinatama
,
,
,
,
,
postavljen je po jedan zeton. dozvoljen potez je maknuti jedan zeton s polja
, gdje su
takvi da na poljima
i
ne stoji zeton, te staviti po jedan zeton na polje
i na polje
. je li moguce konacnom primjenom ovih poteza doci u situaciju da na pocetnih sest polja ne stoji vise niti jedan zeton?
![x \geqslant 0](/media/m/2/5/0/250db2e06df2c9e987bfe769ee5a7d5d.png)
![y \geqslant 0](/media/m/4/b/3/4b35231d513bcbc959c101f9b3e355e3.png)
![(0,0)](/media/m/3/e/4/3e48f4571311d9b0074aa083e1ebe311.png)
![(0,1)](/media/m/9/0/5/905cdd0411da5d901f85c6b15dd80960.png)
![(0, 2)](/media/m/6/0/c/60c6e48234c39cee37c9c5a9d37d5aa2.png)
![(1,0)](/media/m/7/c/3/7c3d5e8518ea1d6d84b287fb8a376f4d.png)
![(1,1)](/media/m/d/d/2/dd294b5a10128c836ee34b879eb5bf47.png)
![(2, 0)](/media/m/8/f/5/8f552da693a2563fcc76cb99669bf319.png)
![(m, n)](/media/m/4/f/4/4f46dcf2259fdaf3ff9891a4fa773ec3.png)
![m, n \in \mathbb{N}_0](/media/m/d/7/0/d700057227f91c4d40fee8d06864acb4.png)
![(m+1,n)](/media/m/9/8/d/98dc62d073fa8a1f1434d1c085e76ed5.png)
![(m, n+1)](/media/m/f/2/6/f26697d6edb1a0a6d03511acaf05f750.png)
![(m+1,n)](/media/m/9/8/d/98dc62d073fa8a1f1434d1c085e76ed5.png)
![(m, n+1)](/media/m/f/2/6/f26697d6edb1a0a6d03511acaf05f750.png)
Izvor: skakavac