Xazulula izindida ze-Kakuro

Kulo mhlahlandlela sinikeza amathiphu awusizo ahlukahlukene okuxazulula izindida ze-Kakuro, ezinobunzima obusukela ezingeni labaqalayo kuya ezingeni lochwepheshe.

Ukufingqa imithetho: i-Kakuro ngumdlalo wendida odlalwa ebhodini elifana nelamagama aphambanayo, lapho amadijithi esetshenziswa ukuze izamba zawo zilingane namanani abhalwe ezikweleni 'zencazelo' zebhodi. Ngaphezu kwalokho, eqenjini ngalinye lesamba, idijithi ngayinye ingavela kanye kuphela.

Indlela evamile yokuxazulula indida ye-Kakuro iwukuqhubeka kancane kancane: ngokusebenzisa ulwazi olukhona ebhodini, ungathola ngokuqinisekile inani leseli elithile elingaba nenani elilodwa kuphela. Bese lelo nani ligcwaliswa, futhi lokhu kuphindwa kuze kutholakale wonke amaseli ebhodi.

Kwezinye izimo, alikho iseli lebhodi elinethuba elilodwa kuphela. Kulezo zimo, ithuba ngalinye kufanele lihlolwe ngokwalo futhi lisuswe ngokuthola ukuphikisana, kuze kusale indlela eyodwa kuphela.

Ngezansi sethula izindlela eziningana zokuqhubekela phambili ekuxazululeni indida.

Izamba ezingabhalwa ngendlela eyodwa kuphela

Kunezincazelo ezithile ezingaxazululwa ngendlela eyodwa kuphela:

isamba esingu-3 (emaselini amabili) sihlala singu-1 + 2.
isamba esingu-4 (emaselini amabili) sihlala singu-1 + 3.
isamba esingu-17 (emaselini amabili) sihlala singu-8 + 9.
isamba esingu-6 (emaselini amathathu) sihlala singu-1 + 2 + 3.
isamba esingu-24 (emaselini amathathu) sihlala singu-7 + 8 + 9.

njalo njalo... Ngokuvamile ungabeka igundane phezu kwenombolo yencazelo kugridi ye-Kakuro, bese kuvela umbhalo omncane oqukethe wonke amathuba okubhala leso samba ngamadijithi angaphindeki enanini lamaseli atholakalayo.

Izamba ezingabhalwa ngendlela eyodwa kuphela ngokuvamile yizamba eziphansi noma eziphezulu, eziphoqa amadijithi aphansi/aphezulu empendulweni ukuze zifinyelelwe.

Ukuba nendlela eyodwa kuphela yokubhala isamba kuyasiza, kodwa khumbula ukuthi konke ukuhleleka kwamadijithi (permutations) kuvumelekile, futhi kusadingeka uthole ukuthi yikuphi ukuhleleka okufanele ukusebenzise ebhodini.

Imikhawulo yomugqa / yekholomu

Kumaseli aphuzi aboniswe ngenhla, kunendlela eyodwa kuphela yokubhala isamba: 4 = 1 + 3. Kodwa-ke kusadingeka sithole ukuthi yikuphi ukuhleleka (1 + 3 noma 3 + 1) okufanele sikusebenzise.

Kuvela ukuthi incazelo eqondile engu-26 iyasisiza: isamba samaseli angu-4 esinedijithi 1 singafika ku-1 + 9 + 8 + 7 = 25 kuphela. Njengoba isamba sethu singu-26, kusho ukuthi idijithi 1 ayikwazi ukuba yingxenye yesamba. Ngakho-ke, okuwukuphela kokuhleleka okusele kwezikwele eziphuzi ngu-3 + 1.

Ukuhlangana kwezincazelo

Ebhodini elingenhla, izikwele eziphuzi ezivundlile zingabhalwa njengo-6 = 1 + 5 noma 6 = 2 + 4. Isamba esiphuzi esiqondile singabhalwa kuphela njengo-29 = 5 + 7 + 8 + 9.

Isikwele esiphuzi esisendaweni lapho lezi zincazelo ezimbili zezamba zihlangana khona kufanele sibe nedijithi efanayo, ngakho-ke kufanele kube nedijithi ekhona kuzo zombili izincazelo, evundlile neqondile, ukuze yabelwane ngayo. Ngokubheka amathuba angenhla, singabona kalula ukuthi u-5 uwukuphela kwedijithi ehambisana nalo mbandela.

Le ndlela isebenza kahle ikakhulukazi lapho incazelo yesamba esiphansi ihlangana nencazelo yesamba esiphezulu. Izincazelo zesamba esiphansi nezesamba esiphezulu yilezo ezinenombolo yencazelo ephansi noma ephezulu (u-6 no-29 ngokulandelana esibonelweni sethu) uma kuqhathaniswa nenani lamaseli atholakalayo. Ngenxa yokuthi u-6 uphansi, uphoqa amadijithi aphansi esambeni, kanti u-29 uphoqa amadijithi aphezulu (ukuze kufinyelelwe lezi zamba ngenani lamaseli elinikeziwe). Ngakho-ke lapho amadijithi aphansi naphezulu ehlangana, kuvame ukusala idijithi eyodwa kuphela engaba yinani leseli.

Amanani aphansi / aphezulu eqembu lesamba

Ngezinye izikhathi kuyasiza ukuthola inani eliphezulu noma eliphansi leqembu lesamba. Lokhu kungakusiza ukubona ukuthi yiliphi ibanga elivumelekile lamadijithi kuleso samba, okuzokusiza ukuthi ukuhlobanise neminye imikhawulo futhi uthole amadijithi okuyiwona kuphela angaba sezindaweni ezithile ebhodini.

Esibonelweni esingenhla, amaseli aphuzi aqondile amukela kuphela amanani alingana no-7 noma ngaphezulu. Uma uzama ukufaka u-6, ungabona kalula ukuthi 6 + 9 + 8 = 23, ngakho isamba sencazelo esingu-24 ngeke sifinyelelwe.

Ngenxa yokuthi u-7 uyinani eliphansi kakhulu elingaba khona, incazelo evundlile enesamba esingu-8 iphoqa u-7 kuleyo ndawo.

Isiphetho

Ukuzijwayeza kuyindlela engcono kakhulu yokubona ukuthi lezi zeluleko zingasetshenziswa kanjani emidlalweni yangempela ye-Kakuro. Dlala indida ngempela. Sikufisela inhlanhla nokuzijabulisa okukhulu!

Dlala i-Kakuro