Ke pale ʻana i nā huinahā like ʻole - 2
Hiki i nā X i loko o kahi grid ke lilo i kihi o nā huinahā me nā ʻaoʻao moe a kū. Hoʻokumu nā X i loko o kēia grid mua i ʻelua mau huinahā. Eia naʻe, ʻo ka pahuhopu ka pale ʻana i ka hana ʻana i nā huinahā. Hoʻonoho ʻia nā X ma ka grid ʻelua e pale aku i ka hana ʻana i nā huinahā.
KA PILI
E kau i nā X he nui e like me kou hiki i loko o kēia kikohoʻe 4 x 4 a mai hana i nā huinahā like ʻole.
HE ʻAHOLAHA
He aha ka nui loa āu e loaʻa ai no nā nui ʻē aʻe o nā grids? Ke ʻike nei ʻoe i kekahi mau ʻano i kāu mau pane?
Notes
KA PILI
ʻO ka hoʻoponopono ʻana i kēia ma ke ʻano laulā he pilikia paʻakikī loa ia a hoʻoholo ʻole ʻia i ka makemakika. Eia naʻe, ʻaʻole ia e kāohi i kahi haumāna mai ka pāʻani a puni me ia a me ke aʻo ʻana i nā mea hoihoi he nui ma ke ala.
Manaʻo ʻia he m lālani a me n kolamu ka grid. Ma ka pale ʻana i nā huinahā like - 1, ua loaʻa iā mākou nā hopena ma lalo nei no nā pane maikaʻi loa.
1 a me 2 lālani: Loaʻa iā mākou m + n - 1 X's
3 lālani: Loaʻa iā mākou nā m + n X me ka hoʻohana ʻana i kahi kiʻikuhi hoʻomaka no kahi grid 3 a 3 i like me ke kiʻikuhi ma lalo nei. Ma ka hoʻohana ʻana i kēlā kiʻikuhi, inā loaʻa iā mākou he 3 lālani me nā kolamu hou aʻe, hiki iā mākou ke hoʻohui wale i hoʻokahi X i kēlā me kēia kolamu hou.
ʻO ka hihia 3 ma 3 e koi ana i kahi ʻano ʻokoʻa mai ka hoʻolālā lālani 1 a me 2, a he mea hoʻowalewale ke manaʻo e pono pū kekahi manaʻo hou i nā laʻana me 4 a ʻoi aku paha lālani. No ka haʻi ʻana i ka mea maopopo, makemake mākou e hana i kahi hōʻiliʻili o nā kolamu i kaʻana like ʻole i kahi pālua o nā lālani me X i loko o lākou.
ʻO kekahi hoʻolālā, ʻo ia ke hoʻopiha i nā mea āpau ma ke kolamu hema loa koe wale nō ka huinahā lalo, a laila aia kekahi X ma ke koena o nā kolamu ma ka lālani lalo a me kekahi X ma kekahi lālani ʻē aʻe. E hana mau kēia a hoʻopuka i (m – 1) + 2 x (m – 1) = 3 x (m – 1) X no kahi grid huinahā m a m. A laila hiki ke hoʻonui ʻia kēia ʻano hana no ka hoʻopiha ʻana i ka huinahā (ma ka hoʻohui ʻana i hoʻokahi X i kēlā me kēia kolamu hou) i kekahi mea me m mau lālani e hāʻawi i 3 x (m – 1) + (n – m) = n + 2m – 3 X, i ka wā e < n ai ʻo m. Hana kēia haʻilula no nā pane āpau no kekahi grid nui (me ka ʻoi aku ma mua o 1 lālani) a hiki i kēia manawa.
HE ʻAHOLAHA
Ke ʻimi nei i nā pane maikaʻi loa ma ka pūnaewele e hōʻike ana hiki iā ʻoe ke hana i 12 X no ka hihia 5 a 5 (hiki iā ʻoe ke loaʻa me ka hoʻohana ʻana i ke ʻano), a laila 16 X no ka hihia 6 a 6 (hōʻike ʻia ma aneʻi).
Ma hope o kēlā, ʻo nā helu e hoʻomaka ana ma ka 7 ma ka 7 ma ke kaʻina: 21, 24, 29, 34, 39, 45, 52, 56, 61, 67, 74, 81, 88, 96, 105, 108, 115, a me 122. Ua hana nā mea makemakika i nā ʻimi hoihoi he nui no ke ʻano o kēia mau hana, a hiki i kāu poʻe makemakika ke leʻaleʻa nui me ia!
