# Inkinga ye-chess encane1114

Ngaphezu kwenkinga eyaziwayo ye- knight nenkinga yendlovukazi, kuneminye imibuzo eminingi ethokozisayo emhlabeni we-chess. Ngithinte izifiso ezimbili ezincane ekubhaleni kwangaphambilini kwebhulogi . Uma ubhekana nezibalo ngezinkinga ze-chess, uzothola ngokushesha ukuthi izibalo zinikeza izimpendulo ezilula nezikhanyayo zemibuzo eminingi.

Njengesibonelo, manje sengizophatha le nkinga elandelayo: Ubheka ibhodi le-chess elingenalutho, elijwayelekile elinamasimu angama-64 bese ubeka indlovukazi emhlophe kunoma yisiphi isikhundla $$(x,y)$$ . Zingaki izinto asengazenza manje?

Sisebenzisa izakhiwo zebhodi yokulinganisa, siguqula wonke amaphuzu $$(x,y) \in \{1,2,3,4,5,6,7,8\} \times \{1,2,3,4,5,6,7,8\}$$ kozakwabo ku-quadrant engezansi engakwesokunxele $$(x',y') \in \{1,2,3,4\} \times \{1,2,3,4\}$$ bese ukhetha ubuncane $$z$$ bokuxhumanisa okubili. Ekugcineni sithola $$7$$ kuvundlile, $$7$$ mpo futhi $$7 + 2\cdot(z-1)$$ amathuba wokudonsa, yingakho le miphumela:

$f:\{1,2,3,4,5,6,7,8\} \times \{1,2,3,4,5,6,7,8\}, \\ f(x,y) = 2 \cdot \min(-|x-4,5|+4,5; -|y-4,5|+4,5)+19$

Umfundi othambekele angayelula kalula inkinga kumabhodi we-chess osayizi $$n^2$$ .

Emuva