Nā Domino ma nā Checkerboards
ʻO ka mua o kēia mau papa checkerboard ʻelua he maʻalahi ke uhi me nā domino. ʻO ka lua, nona hoʻokahi huinahā i nalowale, he hiki ʻole ke uhi me nā domino.
KA PILI
E wehewehe i ke kumu e maʻalahi ai ke uhi ʻia me nā domino kekahi o kēia mau papa checkerboard a ʻo kekahi he mea hiki ʻole.
HE ʻAHOLAHA
E ʻimi i nā hui o nā huinahā liʻiliʻi hiki iā ʻoe ke wehe mai ka papa mua a hiki nō ke uhi pono i ka papa i koe me nā domino.
Notes
KA PILI
ʻElua mau haʻilula e nānā ai no kēia puzzle.
ʻO ka mea mua, inā paha he like a ʻano ʻē paha ka huina o nā huinahā i loaʻa. No ka mea, he helu like ko ka domino o nā huinahā, i kēlā me kēia manawa e kau ʻia ai ka domino ma luna o ka papa, e hoʻemi ʻia ka helu o nā huinahā i loaʻa e ka helu like. No laila, inā he helu like o nā huinahā i loaʻa ma mua o ka domino, e like nō ia ma hope o ka domino, a inā he helu ʻano ʻē o nā huinahā ma mua o ka domino, e like nō ia.
No nā laʻana hoʻolauna ma ka piko o ka ʻaoʻao mua, he helu like ko ka laʻana mua o nā huinahā, no laila hiki ke hoʻopau ʻia me 0 mau huinahā (he helu like ia). Hoʻomaka ka lua o ka laʻana me kahi helu ʻē o nā huinahā, no laila ʻaʻole hiki ke uhi ʻia me nā domino.
ʻO ka lua o ke ʻano hana, ʻo ia ke lawe i ka ʻokoʻa ma waena o ka helu o nā huinahā ʻeleʻele a me ka helu o nā huinahā māmā. Ke kau ʻia kahi domino ma ka papa, uhi ia i kahi huinahā ʻeleʻele a me kahi huinahā māmā, no laila e mau ana ka ʻokoʻa o kēlā mau helu. No ka laʻana, ʻo ka ʻokoʻa he 8 - 6 = 2 ma mua o ke kau ʻia ʻana o kekahi domino (e nānā ana i ka papa hoʻokūkū mua), a e 7 - 5 = 2 ma hope o ke kau ʻana i kahi domino. ʻO kahi ʻano hana e like me kēia, ʻaʻole e loli i ka wā o nā neʻe ʻana i kahi pāʻani a i ʻole puzzle, ua kapa ʻia he invariant.
Ma muli o ka hoʻomaka ʻana o ka ʻokoʻa ma 8 - 6 = 2 no ka papa hoʻokūkū mua, ʻaʻole hiki ke uhi piha ʻia e nā domino (ʻo ia hoʻi ka mea e lawe mai ai i ka ʻokoʻa i 0 - 0 = 0).
Hoʻomaka ka papa ʻelua me kahi ʻokoʻa 7 - 7 = 0, no laila aia kahi manawa kūpono e hiki ke uhi ʻia. He mea maʻalahi loa ke uhi i ka papa ʻelua me nā domino.
KA ʻIMI ʻANA: ʻO ka helu ʻana i ka ʻokoʻa o nā huinahā ʻeleʻele a me keʻokeʻo e haʻi nui iā ʻoe e pili ana i nā papa e hiki ke hana ʻia. ʻO ka ʻokoʻa wale nō e hāʻawi i kahi manawa kūpono no ka holomua ʻo ia ka ʻokoʻa o 0. Inā ʻoe e wehe i ʻehā mau huinahā, hiki ke loaʻa kahi ʻokoʻa o 0 a ʻaʻole hiki ke uhi i nā huinahā i koe - hana kēia ke hoʻokaʻawale ʻia kekahi o nā huinahā kihi. Eia nō naʻe, ma ke ʻano laulā, inā ʻo ka ʻokoʻa he 0, aneane hiki iā ʻoe ke uhi i ka papa me nā domino.