Isinyathelo 15 · Okwengcweti
Unique Rectangle (unxande wesixazululo esisodwa): liyini leli qhinga? Indlela yokuxazulula iSudoku
Lisebenzisa iqiniso lokuthi iSudoku efanele inesixazululo esisodwa kuphela: izikwele ezine ezakha unxande emabhokisini amabili angeke zonke zigcine zinepheya elifanayo lezinombolo, ngakho ungasusa izinombolo ezingenzeka ezingaholela kulokho.
Liyini leli qhinga
Lisebenzisa umthetho wokuthi iSudoku efanele inesixazululo esisodwa kuphela.
Cabanga ngamakhona amane onxande. Asemigqeni emi-2, emakholomini ama-2 nasemabhokisini ama-2.
Ukube lawo makhona angathatha u-3 no-7 kuphela, khona-ke "phezulu kwesobunxele 3, phezulu kwesokudla 7, phansi kwesobunxele 7, phansi kwesokudla 3" nokushintshiwe "phezulu kwesobunxele 7, phezulu kwesokudla 3, phansi kwesobunxele 3, phansi kwesokudla 7" bekuzosebenza kokubili: umugqa ngamunye, ikholomu ngayinye nebhokisi ngalinye kusathola u-3 oyedwa no-7 oyedwa. Lezo yizixazululo ezimbili, okungeke kwenzeke.
Ngakho noma iyiphi inombolo engenzeka engashiya amakhona eno-3 no-7 kuphela ingasuswa.
Isibonelo: amakhona amathathu angaba ngu-3 noma ngu-7 kuphela, kanti elesine lingaba ngu-3, ngu-7 noma ngu-9. Ukube elesine belingu-3 noma ngu-7, bekuzoba nezixazululo ezimbili, ngakho kumele libe ngu-9.
Ungalibona kanjani
Funa izikwele ezinezinombolo ezingenzeka ezimbili ezifanayo kuphela (njengo-3 no-7) emakhoneni amabili noma amathathu onxande. Unxande kumele weqe amabhokisi amabili ncamashí.
Isibonelo
Izikwele eziphuzi zikhombisa ukuthi ubheke kuphi, ezisawolintshi ziyisizathu, izinombolo ezibomvu yizinombolo ezingenzeka ongazisusa, kanti inombolo eluhlaza okwesibhakabhaka iyimpendulo.
ISudoku efanele inesixazululo esisodwa kuphela. Leli qhinga lisebenzisa lowo mthetho. Izikwele M3K1, M3K3, M8K1 no-M8K3 ngamakhona amane onxande. Zisemigqeni emibili, emakholomini amabili nasemabhokisini amabili kuphela. Ake sithi la makhona amane angathatha u-3 no-6 kuphela. Khona-ke “M3K1=3, M3K3=6, M8K1=6, M8K3=3” kuyasebenza, futhi nokushintshiwe “M3K1=6, M3K3=3, M8K1=3, M8K3=6” kuyasebenza. Noma kunjani, umugqa ngamunye, ikholomu ngayinye nebhokisi ngalinye kulawa kuthola u-3 oyedwa no-6 oyedwa, ngakho awukho umthetho owephukayo. Lokho bekungasho izixazululo ezimbili, ngakho la makhona amane angeke agcine enezinombolo 3 no-6 kuphela.
Kuleli bhodi, amakhona amathathu M3K1, M8K1 no-M8K3 angaba ngu-3 noma ngu-6 kuphela. Ukube isikwele M3K3 naso besingaba ngu-3 noma ngu-6, wonke amakhona amane abezoba no-3 no-6 kuphela, futhi ukushintshana okungenhla bekuzosebenza. Ngakho isikwele M3K3 angeke sibe ngu-3 noma ngu-6. Susa u-3 no-6 esikweleni M3K3.