English
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Mwanzo
Rahisi
Wastani
Ngumu
Mtaalam
Chapisha seti ya mafumbo ya sudoku bure kila siku. Chagua kutoka aina tofauti za sudoku na viwango vya ugumu, jumuisha majibu, na ufikie hatua za utatuzi na mafunzo wakati wowote. Furahia mchezo wa fumbo la mantiki!
Jibu
Mwanzo
Rahisi
Wastani
Ngumu
Mtaalam
Chapisha seti ya mafumbo ya sudoku bure kila siku. Chagua kutoka aina tofauti za sudoku na viwango vya ugumu, jumuisha majibu, na ufikie hatua za utatuzi na mafunzo wakati wowote. Furahia mchezo wa fumbo la mantiki!
Sudoku ya Samurai - Chapisha Sudoku
Chapisha seti ya mafumbo ya sudoku bure kila siku. Chagua kutoka aina tofauti za sudoku na viwango vya ugumu, jumuisha majibu, na ufikie hatua za utatuzi na mafunzo wakati wowote. Furahia mchezo wa fumbo la mantiki!
Ukubwa wa Karatasi：
A4
US Letter
Jibu
Gridi Tupu
Alama za Penseli
Ugumu：
Zote
Aina：
Sudoku ya Samurai
Muundo：
PDF
Vidokezo vya Sudoku Inayochapishika
Muhtasari wa Kanuni za Sudoku
Aina zote za sudoku za 9×9 (Kawaida, Kuua, Samurai) zinafuata kanuni sawa ya msingi: kila safu, safu wima, na sanduku la 3×3 lazima liwe na namba 1–9 bila kurudia. 12×12 inatumia namba 1–12 ikigawanywa katika maeneo ya 3×4, na 16×16 inatumia 1–16 — kanuni sawa, lakini na alama zaidi za kufuatilia na kiwango cha juu zaidi cha ugumu.
Mwongozo wa Mwanzo
Mpya kwa sudoku au unatafuta mafumbo yanayofaa watoto? Anza na sudoku ndogo ya 4×4 — seli 16 tu (masanduku manne ya 2×2) ukitumia namba 1–4. Kanuni ni sawa na gridi kubwa lakini rahisi zaidi kujifunza. Chagua aina ya "Kawaida" na ugumu wa "Mwanzo" kwenye ukurasa huu kupata mafumbo ya 4×4, bora kwa watoto na wachezaji wa mara ya kwanza kuelewa haraka mantiki ya msingi ya sudoku.
Mapendekezo ya Uchapishaji
Tunatoa mauzo ya nje ya ubora wa juu katika miundo ya PDF, Word, JPG, PNG, na SVG. PDF imeboreshwa kwa uchapishaji wa moja kwa moja wa kivinjari — chagua "Fit to Page" katika mipangilio yako ya kuchapisha kwa mistari safi ya gridi. Tumia kiteuzi cha mpangilio kuchapisha kwa urahisi mafumbo 1, 2, au 5 kwa kila ukurasa kulingana na mahitaji tofauti.
Vidokezo vya Utatuzi
Chukua penseli na kifutio kabla ya kuanza — utahitaji kurekebisha unapoendelea. Jaza namba dhahiri kwanza, kisha chunguza kila safu, safu wima, na eneo kuondoa wagombea wasiowezekana. Wanaoanza wanapaswa kuanza na ugumu wa "Mwanzo" au "Rahisi" kujenga ujasiri kabla ya kushughulikia mafumbo yenye seli nyingi tupu. Washa kigeuzi cha "Jibu" kujumuisha ukurasa kamili wa suluhisho na kuangalia maendeleo yako. Ikiwa unapendelea kutatua mtandaoni, jaribu kipengele chetu cha kidokezo mahiri — kinakuongoza kupitia hatua inayofuata hatua kwa hatua.
Ya Juu na Mkakati
Ujuzi wako unapokua, endelea kupitia ngazi ya ugumu: Mwanzo → Rahisi → Wastani → Ngumu → Mtaalam → Kali. Jaribio na aina tofauti za sudoku (Kuua, Samurai, 12×12, 16×16) huku ukimudu mbinu kutoka alama za penseli hadi mbinu za juu kama Y-Wing. Kwa mbinu zaidi, angalia Mwongozo wa Vidokezo na Mikakati ya Sudoku. Zaidi ya burudani, mafumbo haya yanayochapishika ni zana bora za kunoa fikra za kimantiki katika kiwango chochote cha ujuzi.
Maswali Yanayoulizwa Mara kwa Mara
Jinsi ya kuchapisha mafumbo ya sudoku?
Chagua ugumu unaotaka, aina, na mpangilio (mafumbo 1, 2, au 5 kwa kila ukurasa), kisha bofya kitufe cha "Chapisha / Pakua" kuzalisha mafumbo ya sudoku yanayochapishika. Unaweza kuchapisha seti ya mafumbo bure kila siku, yaliyoumbizwa kwa saizi ya karatasi ya A4.
Ni miundo gani ya kuchapisha inayosaidiwa?
Tunasaidia miundo mingi ya kuuza nje: PDF (chaguo-msingi, saizi ya A4), hati ya Word, picha ya JPG, picha ya PNG, na michoro ya vekta ya SVG, ikifanya iwe rahisi kwa matukio tofauti ya matumizi.
Je, ninaweza kuchapisha sudoku na majibu?
Ndiyo! Unapoweka tiki kwenye chaguo la "Jibu", ukurasa wa kuchapisha utajumuisha ukurasa wa ziada wa majibu na suluhisho kamili kwa mafumbo yote kwenye ukurasa, ikifanya iwe rahisi kuangalia kazi yako.
Ni viwango gani vya ugumu vinavyopatikana?
Tunatoa viwango 7 vya ugumu: Mwanzo, Rahisi, Wastani, Ngumu, Mtaalam, Kali, na chaguo la kina la "Zote" linalojumuisha ugumu wote. Iwe ni Sudoku ya Kawaida, Sudoku ya Kuua, Sudoku ya Samurai, 12×12, au 16×16, aina zote za sudoku zinasaidia viwango hivi 7 vya ugumu. Unaweza kuchagua kiwango na aina sahihi kulingana na ujuzi wako.
Je, uchapishaji wa sudoku ni bure?
Ndiyo, unaweza kuchapisha seti ya mafumbo ya sudoku bure kila siku. Hakuna malipo yanayohitajika.
Je, mafumbo ya sudoku yaliyochapishwa ni yaleyale kila wakati?
Hapana! Mafumbo yetu yote ya sudoku yanazalishwa kwa wakati halisi mtandaoni. Kila unapoonyesha upya ukurasa au kubadilisha mipangilio, seti mpya kabisa ya mafumbo inaundwa kwa nguvu. Hii inamaanisha utapata mafumbo tofauti kila wakati, yakikupa anuwai isiyo na kikomo — daima kuna kitu kipya cha kutatua!
Ninaweza kuchapisha mafumbo mangapi ya sudoku kwa kila ukurasa?
Unaweza kuchagua kutoka chaguzi 3 za mpangilio kwa kutumia kiteuzi cha Mpangilio juu ya muonekano wa fumbo: fumbo 1 kwa kila ukurasa (chapa kubwa), mafumbo 2 kwa kila ukurasa (yaliyorundikwa), au mafumbo 5 kwa kila ukurasa (mwonekano wa gridi). Chagua mpangilio unaofaa zaidi faraja yako ya kusoma na matumizi ya karatasi.
Chaguo la Gridi Tupu ni nini?
Chaguo la Gridi Tupu, lililopo karibu na kigeuzi cha Jibu, linazalisha gridi tupu za sudoku bila namba zozote zilizojazwa awali. Hii ni bora kwa walimu wanaotaka kusambaza gridi tupu kwa mazoezi ya darasani, au kwa wachezaji wanaotaka kunakili mafumbo kutoka mahali pengine na kuyatatua kwenye karatasi zilizochapishwa.
Chaguo la Alama za Penseli ni nini?
Chaguo la Alama za Penseli (kipengele cha VIP) linaonyesha namba ndogo za wagombea ndani ya kila seli tupu, kikusaidia kuondoa haraka chaguzi zisizowezekana wakati wa utatuzi. Hii ni muhimu hasa kwa mafumbo ya Ngumu au Mtaalam, ikipunguza kwa kiasi kikubwa ugumu wa hoja.
Ninawekaje idadi ya kurasa za kuchapisha?
Tumia kiteuzi cha Kurasa chini ya muonekano wa fumbo kuweka popote kutoka kurasa 1 hadi 10. Idadi ya mafumbo kwa kila ukurasa imeamuliwa na chaguo lako la Mpangilio (1, 2, au 5), hivyo jumla ya mafumbo = mpangilio × kurasa. Kwa mfano, 5 kwa kila ukurasa × kurasa 2 = mafumbo 10 kwa jumla.
Kitufe cha Onyesha Upya Mafumbo kinafanya nini?
Kubofya Onyesha Upya Mafumbo kunazalisha papo hapo seti mpya kabisa ya mafumbo ya sudoku huku ukiweka ugumu wako wa sasa, aina, mpangilio, na mipangilio ya kurasa bila kubadilika. Ikiwa huridhiki na mafumbo ya sasa au unataka anuwai zaidi, bonyeza mara moja kuyaonyesha yote upya.
Data ya fumbo
Fumbo 1 — Mwanzo
Safu
1 [ 5, 7, 0, 0, 4, 9, 3, 0, 6, -1, -1, -1, 4, 8, 3, 1, 6, 9, 7, 5, 2 ], 2 [ 2, 4, 8, 6, 5, 0, 9, 1, 0, -1, -1, -1, 2, 1, 7, 5, 0, 3, 0, 9, 8 ], 3 [ 6, 0, 3, 7, 0, 1, 5, 4, 2, -1, -1, -1, 6, 5, 9, 0, 0, 8, 0, 3, 4 ], 4 [ 0, 0, 4, 9, 2, 5, 6, 7, 8, -1, -1, -1, 5, 4, 1, 6, 3, 2, 9, 8, 7 ], 5 [ 9, 6, 2, 8, 1, 7, 4, 5, 3, -1, -1, -1, 3, 9, 2, 7, 0, 1, 5, 4, 6 ], 6 [ 0, 8, 5, 4, 3, 6, 1, 0, 9, -1, -1, -1, 8, 7, 0, 9, 0, 4, 2, 1, 3 ], 7 [ 3, 1, 7, 0, 9, 0, 2, 6, 4, 9, 0, 8, 1, 3, 5, 4, 0, 0, 8, 0, 9 ], 8 [ 0, 2, 0, 1, 6, 4, 7, 3, 5, 1, 0, 6, 9, 2, 8, 3, 1, 7, 4, 6, 0 ], 9 [ 4, 5, 6, 3, 7, 2, 8, 9, 1, 5, 0, 2, 7, 6, 4, 0, 0, 5, 3, 0, 1 ], 10 [ -1, -1, -1, -1, -1, -1, 9, 2, 0, 8, 0, 1, 5, 4, 0, -1, -1, -1, -1, -1, -1 ], 11 [ -1, -1, -1, -1, -1, -1, 1, 4, 8, 3, 9, 5, 2, 0, 6, -1, -1, -1, -1, -1, -1 ], 12 [ -1, -1, -1, -1, -1, -1, 3, 5, 0, 4, 0, 7, 8, 1, 0, -1, -1, -1, -1, -1, -1 ], 13 [ 4, 0, 3, 0, 7, 5, 6, 1, 9, 7, 0, 4, 3, 8, 2, 5, 9, 1, 7, 4, 6 ], 14 [ 5, 1, 2, 0, 8, 6, 4, 7, 3, 2, 0, 9, 6, 5, 1, 0, 4, 2, 9, 0, 0 ], 15 [ 7, 6, 9, 0, 4, 3, 5, 8, 2, 6, 0, 3, 4, 9, 7, 8, 6, 3, 1, 2, 5 ], 16 [ 2, 0, 0, 6, 0, 1, 9, 0, 8, -1, -1, -1, 7, 1, 4, 9, 3, 5, 0, 6, 8 ], 17 [ 6, 4, 0, 8, 2, 0, 3, 5, 7, -1, -1, -1, 2, 3, 5, 6, 7, 8, 4, 0, 9 ], 18 [ 0, 9, 8, 7, 5, 4, 2, 6, 1, -1, -1, -1, 9, 6, 0, 0, 1, 4, 5, 3, 7 ], 19 [ 1, 3, 6, 5, 9, 0, 0, 2, 4, -1, -1, -1, 8, 4, 6, 0, 0, 9, 3, 7, 2 ], 20 [ 8, 0, 4, 0, 6, 7, 1, 9, 5, -1, -1, -1, 5, 7, 3, 4, 0, 6, 8, 0, 0 ], 21 [ 9, 5, 7, 4, 1, 2, 8, 3, 6, -1, -1, -1, 0, 2, 9, 3, 8, 7, 0, 0, 4 ]
Fumbo 2 — Rahisi
Safu
1 [ 0, 7, 0, 3, 1, 0, 4, 0, 9, -1, -1, -1, 0, 0, 0, 0, 4, 6, 0, 0, 8 ], 2 [ 4, 2, 6, 9, 7, 0, 5, 3, 0, -1, -1, -1, 4, 5, 0, 0, 2, 0, 6, 0, 0 ], 3 [ 0, 3, 1, 0, 4, 0, 0, 0, 0, -1, -1, -1, 7, 0, 0, 9, 0, 0, 1, 0, 4 ], 4 [ 2, 9, 4, 0, 0, 0, 6, 7, 0, -1, -1, -1, 0, 4, 9, 0, 8, 0, 0, 5, 7 ], 5 [ 0, 0, 0, 7, 0, 0, 0, 4, 0, -1, -1, -1, 0, 1, 0, 0, 0, 0, 3, 4, 6 ], 6 [ 0, 0, 0, 4, 0, 0, 0, 2, 0, -1, -1, -1, 6, 2, 5, 4, 7, 0, 0, 0, 0 ], 7 [ 1, 0, 5, 0, 0, 0, 2, 9, 4, 0, 0, 0, 5, 7, 6, 3, 0, 0, 9, 8, 2 ], 8 [ 7, 0, 0, 0, 8, 5, 3, 1, 6, 7, 5, 0, 9, 8, 4, 0, 6, 0, 7, 0, 0 ], 9 [ 3, 0, 2, 0, 9, 0, 8, 5, 7, 0, 4, 9, 2, 3, 1, 0, 0, 0, 0, 0, 5 ], 10 [ -1, -1, -1, -1, -1, -1, 0, 6, 3, 2, 0, 0, 7, 1, 5, -1, -1, -1, -1, -1, -1 ], 11 [ -1, -1, -1, -1, -1, -1, 0, 0, 1, 3, 7, 0, 0, 9, 2, -1, -1, -1, -1, -1, -1 ], 12 [ -1, -1, -1, -1, -1, -1, 0, 2, 5, 9, 0, 0, 8, 4, 3, -1, -1, -1, -1, -1, -1 ], 13 [ 6, 0, 0, 0, 0, 8, 1, 4, 9, 0, 2, 7, 3, 6, 8, 2, 0, 5, 7, 4, 0 ], 14 [ 0, 4, 3, 0, 0, 0, 5, 7, 8, 4, 3, 0, 1, 2, 9, 0, 0, 7, 5, 6, 0 ], 15 [ 8, 0, 0, 7, 1, 0, 6, 3, 2, 0, 0, 0, 4, 5, 7, 1, 6, 3, 0, 8, 9 ], 16 [ 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 2, 0, 9, 0, 4 ], 17 [ 4, 0, 8, 6, 0, 7, 3, 0, 1, -1, -1, -1, 9, 3, 4, 0, 0, 8, 1, 0, 0 ], 18 [ 0, 0, 0, 4, 3, 0, 0, 2, 6, -1, -1, -1, 2, 1, 0, 0, 0, 4, 8, 0, 0 ], 19 [ 0, 6, 7, 8, 4, 2, 0, 1, 0, -1, -1, -1, 0, 4, 0, 0, 7, 0, 0, 1, 0 ], 20 [ 9, 8, 0, 0, 0, 3, 0, 6, 4, -1, -1, -1, 5, 0, 0, 3, 4, 2, 6, 9, 0 ], 21 [ 2, 5, 0, 0, 0, 9, 0, 8, 0, -1, -1, -1, 0, 0, 3, 8, 0, 0, 4, 0, 0 ]
Fumbo 3 — Wastani
Safu
1 [ 0, 4, 0, 0, 5, 7, 3, 0, 0, -1, -1, -1, 0, 0, 0, 0, 6, 0, 0, 5, 0 ], 2 [ 0, 0, 1, 0, 0, 8, 0, 6, 5, -1, -1, -1, 4, 0, 6, 0, 3, 0, 0, 0, 0 ], 3 [ 8, 0, 0, 0, 9, 0, 0, 0, 0, -1, -1, -1, 0, 2, 0, 0, 0, 8, 9, 0, 0 ], 4 [ 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 2, 0, 9 ], 5 [ 6, 8, 5, 0, 7, 0, 0, 4, 1, -1, -1, -1, 5, 4, 2, 0, 0, 0, 1, 0, 0 ], 6 [ 0, 0, 0, 5, 0, 4, 0, 0, 0, -1, -1, -1, 0, 8, 7, 0, 0, 1, 0, 0, 0 ], 7 [ 0, 0, 4, 7, 0, 9, 8, 5, 6, 0, 0, 1, 2, 3, 4, 0, 5, 6, 0, 0, 8 ], 8 [ 0, 0, 0, 0, 3, 0, 1, 9, 7, 0, 0, 4, 6, 5, 8, 7, 2, 0, 0, 0, 4 ], 9 [ 0, 9, 0, 8, 0, 0, 4, 2, 3, 8, 0, 5, 7, 1, 9, 0, 0, 0, 0, 0, 0 ], 10 [ -1, -1, -1, -1, -1, -1, 6, 4, 2, 0, 0, 0, 1, 0, 0, -1, -1, -1, -1, -1, -1 ], 11 [ -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 4, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1 ], 12 [ -1, -1, -1, -1, -1, -1, 0, 0, 9, 0, 0, 0, 3, 4, 5, -1, -1, -1, -1, -1, -1 ], 13 [ 0, 0, 0, 0, 5, 0, 3, 7, 8, 4, 0, 9, 5, 2, 6, 0, 4, 0, 1, 0, 9 ], 14 [ 0, 0, 0, 0, 0, 0, 2, 6, 4, 3, 0, 0, 9, 7, 1, 0, 0, 8, 0, 3, 6 ], 15 [ 0, 2, 0, 7, 4, 0, 9, 1, 5, 6, 0, 0, 4, 8, 3, 0, 1, 0, 0, 7, 2 ], 16 [ 7, 0, 0, 0, 8, 9, 4, 0, 6, -1, -1, -1, 2, 0, 5, 9, 0, 0, 6, 0, 0 ], 17 [ 0, 0, 6, 0, 0, 0, 7, 0, 0, -1, -1, -1, 0, 6, 0, 0, 0, 2, 0, 0, 0 ], 18 [ 2, 5, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 4, 0, 0, 5, 6, 8, 0, 0 ], 19 [ 0, 1, 0, 3, 0, 8, 0, 0, 0, -1, -1, -1, 0, 0, 0, 8, 6, 0, 0, 0, 0 ], 20 [ 6, 0, 0, 0, 9, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 4, 0 ], 21 [ 0, 8, 0, 4, 1, 0, 6, 0, 0, -1, -1, -1, 8, 0, 2, 0, 0, 5, 0, 0, 0 ]
Fumbo 4 — Ngumu
Safu
1 [ 0, 3, 2, 5, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 7, 0 ], 2 [ 7, 0, 0, 8, 0, 1, 0, 3, 4, -1, -1, -1, 3, 5, 0, 0, 6, 4, 0, 0, 0 ], 3 [ 0, 0, 0, 0, 3, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 9, 0, 0, 0, 4, 8 ], 4 [ 0, 0, 8, 0, 6, 0, 0, 1, 0, -1, -1, -1, 9, 0, 0, 4, 0, 0, 0, 8, 0 ], 5 [ 3, 0, 0, 0, 1, 0, 0, 0, 5, -1, -1, -1, 0, 7, 0, 0, 0, 1, 0, 0, 0 ], 6 [ 5, 4, 1, 3, 0, 9, 8, 6, 0, -1, -1, -1, 0, 0, 0, 0, 5, 0, 0, 0, 1 ], 7 [ 0, 0, 0, 1, 8, 0, 9, 2, 3, 0, 0, 0, 5, 8, 4, 0, 0, 0, 0, 0, 7 ], 8 [ 0, 0, 0, 0, 0, 6, 1, 4, 8, 0, 0, 5, 7, 2, 6, 0, 9, 0, 3, 0, 4 ], 9 [ 0, 8, 0, 0, 0, 0, 7, 5, 6, 0, 4, 0, 1, 3, 9, 5, 4, 0, 0, 6, 0 ], 10 [ -1, -1, -1, -1, -1, -1, 6, 0, 1, 0, 5, 7, 0, 9, 8, -1, -1, -1, -1, -1, -1 ], 11 [ -1, -1, -1, -1, -1, -1, 2, 0, 9, 0, 0, 0, 6, 0, 5, -1, -1, -1, -1, -1, -1 ], 12 [ -1, -1, -1, -1, -1, -1, 4, 8, 0, 6, 9, 0, 3, 0, 7, -1, -1, -1, -1, -1, -1 ], 13 [ 7, 0, 0, 0, 0, 0, 3, 6, 2, 0, 7, 0, 9, 5, 1, 0, 0, 0, 0, 0, 7 ], 14 [ 0, 0, 6, 0, 9, 2, 5, 1, 4, 3, 0, 0, 8, 7, 2, 0, 0, 0, 0, 0, 0 ], 15 [ 0, 0, 0, 0, 0, 0, 8, 9, 7, 0, 0, 0, 4, 6, 3, 7, 5, 0, 0, 8, 9 ], 16 [ 0, 0, 1, 9, 0, 0, 0, 2, 5, -1, -1, -1, 3, 9, 8, 0, 0, 0, 0, 0, 5 ], 17 [ 2, 0, 7, 0, 8, 0, 0, 0, 0, -1, -1, -1, 0, 0, 6, 0, 0, 4, 8, 2, 0 ], 18 [ 3, 5, 0, 0, 7, 0, 0, 8, 0, -1, -1, -1, 0, 0, 0, 0, 8, 0, 6, 0, 0 ], 19 [ 0, 0, 3, 0, 2, 0, 0, 0, 0, -1, -1, -1, 0, 8, 0, 9, 0, 2, 0, 3, 0 ], 20 [ 5, 0, 4, 0, 0, 0, 2, 0, 0, -1, -1, -1, 0, 0, 9, 0, 6, 0, 0, 0, 2 ], 21 [ 0, 0, 0, 1, 5, 0, 0, 0, 3, -1, -1, -1, 0, 0, 0, 0, 0, 5, 0, 0, 0 ]
Fumbo 5 — Mtaalam
Safu
1 [ 0, 4, 0, 0, 0, 0, 0, 5, 0, -1, -1, -1, 8, 0, 0, 0, 0, 0, 0, 4, 0 ], 2 [ 0, 0, 0, 2, 0, 4, 0, 0, 0, -1, -1, -1, 0, 9, 0, 0, 0, 2, 0, 0, 0 ], 3 [ 0, 9, 0, 6, 7, 0, 3, 0, 0, -1, -1, -1, 0, 0, 2, 0, 8, 4, 5, 3, 6 ], 4 [ 8, 0, 0, 0, 0, 5, 0, 3, 6, -1, -1, -1, 0, 0, 9, 0, 4, 0, 0, 0, 0 ], 5 [ 9, 5, 0, 4, 0, 0, 0, 0, 1, -1, -1, -1, 3, 8, 0, 0, 0, 1, 0, 0, 0 ], 6 [ 0, 0, 7, 0, 3, 0, 0, 4, 0, -1, -1, -1, 0, 1, 0, 0, 0, 8, 6, 2, 0 ], 7 [ 0, 0, 0, 3, 0, 0, 4, 7, 5, 0, 8, 0, 6, 3, 1, 0, 0, 0, 7, 5, 0 ], 8 [ 7, 8, 0, 5, 4, 2, 1, 6, 3, 5, 7, 4, 9, 2, 8, 0, 7, 0, 0, 6, 3 ], 9 [ 0, 0, 0, 1, 0, 0, 8, 9, 2, 0, 0, 0, 7, 4, 5, 0, 1, 0, 0, 0, 0 ], 10 [ -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1 ], 11 [ -1, -1, -1, -1, -1, -1, 7, 2, 0, 0, 0, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1 ], 12 [ -1, -1, -1, -1, -1, -1, 0, 3, 0, 8, 5, 7, 0, 9, 0, -1, -1, -1, -1, -1, -1 ], 13 [ 5, 0, 0, 8, 0, 9, 2, 4, 6, 0, 0, 0, 3, 8, 9, 0, 0, 0, 0, 6, 0 ], 14 [ 0, 0, 0, 0, 5, 0, 9, 8, 1, 0, 0, 0, 2, 5, 7, 0, 4, 0, 0, 0, 3 ], 15 [ 8, 9, 0, 0, 4, 0, 3, 5, 7, 2, 0, 8, 4, 1, 6, 8, 3, 0, 0, 0, 7 ], 16 [ 0, 0, 0, 0, 1, 4, 0, 6, 0, -1, -1, -1, 0, 0, 0, 9, 6, 0, 0, 0, 8 ], 17 [ 7, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 2, 0, 0, 9, 0, 1 ], 18 [ 0, 0, 3, 5, 0, 2, 0, 1, 0, -1, -1, -1, 0, 0, 8, 0, 0, 0, 0, 7, 0 ], 19 [ 0, 2, 0, 1, 0, 0, 0, 0, 5, -1, -1, -1, 5, 0, 0, 4, 0, 2, 0, 0, 0 ], 20 [ 0, 0, 0, 0, 0, 6, 0, 0, 8, -1, -1, -1, 0, 7, 0, 0, 0, 0, 0, 0, 5 ], 21 [ 0, 0, 0, 0, 0, 0, 0, 7, 9, -1, -1, -1, 0, 4, 0, 6, 0, 0, 0, 0, 0 ]
