Izimfihlo Ezi-5 Eziveziwe: I-Algorithm Yokuwina Ilotho

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I-algorithm yokuwina ilotho

Lapho sikhuluma nge i-algorithm yokuwina ilothoAsibhekiseli kufomula yomlingo ekuqinisekisa i-jackpot kukho konke ukutonyulwa. Kunalokho, sikhuluma ngesethi yamasu nezindlela ezihlelekile ezenzelwe ukwandisa amathuba akho okuphumelela kwesikhathi eside.

Empeleni, i-algorithm yelotho iwuchungechunge lwezinyathelo nezinqumo ezisekelwe kudatha nokuhlaziywa kwezibalo. Lawa ma-algorithms angaba yinkimbinkimbi kusukela emithethweni elula yokukhetha izinombolo kuye kumamodeli ezibalo ayinkimbinkimbi ahlaziya amaphethini omlando.

Kodwa ingabe lawa ma-algorithms ayasebenza ngempela? Impendulo emfushane ithi: zingathuthukisa amathuba akho, kodwa aziqinisekisi ukuthi uzowina. Ilotho ekugcineni isewumdlalo wamathuba. Nokho, lapho ufaka isicelo amasu ahlakaniphile nasekelwe Kudatha, ungakwazi ukusikisela isikali ngokuvuna wena.

Ezinye izingxenye ezibalulekile ze-algorithm yokuwina ilotho zifaka:

1. Ukuhlaziya imvamisa yezinombolo
2. Ukufunda amaphethini omlando
3. Amasu okukhetha okulinganiselayo
4. ukuphathwa kwesabelomali
5. Amasu egeyimu yesikhathi eside

Kubalulekile ukuqonda ukuthi lawa ma-algorithms awawona amaphutha. Ilotho yakhelwe ngendlela engaqondakali, futhi alukho uhlelo olungaqinisekisa ukuwina. Kodwa-ke, ngokuthatha indlela ehlelekile, eqhutshwa idatha, ungenza izinqumo ezinolwazi futhi uthuthukise imiphumela yakho ngokuhamba kwesikhathi.

Amandla ezinombolo

Ngemuva kwakho konke ukutonyulwa kwelotho kukhona umhlaba ohehayo wezinombolo kanye namathuba. Ukuqonda lesi sici sezibalo kubalulekile ekuthuthukiseni i-algorithm ephumelelayo yokuwina ilotho.

Ubuwazi ukuthi kulotho evamile engu-6/49, amathuba okufanisa zonke izinombolo eziyisithupha angu-1 ku-13,983,816? Lezi zinombolo zingase zibonakale zixakile, kodwa futhi zinikeza izinkomba ezibalulekile kubadlali abahlakaniphile.

Ukuhlaziywa kwezibalo kudlala indima ebalulekile ekudaleni amasu okuwina. Amanye amasu adumile afaka:

• Ukuhlaziya imvamisa: Funda ukuthi yiziphi izinombolo ezivela kakhulu emidwebeni edlule.
• Izinombolo ezishisayo nezibandayo: Thola izinombolo ezingavelanga isikhathi eside (ezibandayo) noma ezivela njalo (ziyashisa).
• Ithiyori yamathuba: Sebenzisa imiqondo ochwepheshe bezibalo ukubala amathuba yezinhlanganisela ezahlukene.

Isibonelo, ucwaningo olwenziwe yi-Stanford University ngo-2021 lwembula ukuthi amaphethini ezinombolo athile ajwayele ukuziphindaphinda kaningi kunalokho obekungalindelwa ngenhlanhla nje. Lokhu akusho ukuthi ungakwazi ukubikezela izinombolo eziwinile ngokuqiniseka, kodwa kusho ukuthi ungenza izinqumo ezinolwazi.

Isu elithakazelisayo "ukukhetha okulinganiselayo." Le nqubo iphakamisa ukukhetha inhlanganisela yezinombolo eziphakeme neziphansi, ezilinganayo nezingavamile. Umqondo walokhu ukuthi izinombolo eziwinayo zivame ukusabalalisa ngokulinganayo kulezi zici.

Nali ithebula elibonisa ukusatshalaliswa okujwayelekile kwezinombolo kwilotho engu-6/49:

Uhlobo lwenombolo	Iphesenti elikahle
Izinombolo eziphansi (1-25)	50%
Izinombolo eziphezulu (26-49)	50%
Ngisho nezinombolo	50%
Izinombolo ezingavamile	50%

Ngokulandela lesi simiso, ungakhetha inhlanganisela efana no-7, 12, 23, 28, 35, 46, ebhalansiswe kahle ngokwezinombolo eziphakeme/eziphansi futhi ezilinganayo/eziyinqaba.

Nokho, khumbula ukuthi ilotho isewumdlalo wamathuba. Lawa maqhinga angathuthukisa amathuba akho, kodwa awaqinisekisi ukuthi uzowina. Amandla angempela ezinombolo asekukusizeni ukuthi wenze izinqumo ezinolwazi futhi ujabulele ukugembula ngokuzibophezela.

Amasu okukhetha

Uma kuziwa ekuthuthukiseni a i-algorithm yokuwina ilotho, amasu okukhetha izinombolo adlala indima ebalulekile. Nakuba ingekho ifomula yomlingo eqinisekisa impumelelo, akhona amasu amaningana abadlali abanolwazi nongoti bezibalo abaye bawasungula eminyakeni edlule.

Ubuchwepheshe benombolo ye-delta

Leli su lisekelwe embonweni wokuthi izinombolo eziwinayo zivame ukusabalalisa ngokulinganayo kulo lonke uhla olutholakalayo. Ukuyisebenzisa:

1. Khetha inombolo yokuqala phakathi kuka-1 no-8.
2. Engeza inombolo phakathi kuka-1 no-15 ukuze uthole inombolo yesibili.
3. Qhubeka ungeze, ulungise i-delta ukuze zonke izinombolo zibe phakathi kwebanga elivunyelwe.

Isibonelo, ungagcina ngokulandelana okufana no-3, 12, 20, 29, 37, 45.

Indlela yesondo lenhlanhla

Le nqubo ihlanganisa ukudlala amathikithi amaningi anenhlanganisela ehlukene yeqembu elikhethiwe lezinombolo. Nakuba kudinga ukutshalwa kwezimali okukhulu, kwandisa amathuba akho okuwina uma kuvela izinombolo zakho.

Isibonelo sesondo elilula elinezinombolo ezingu-7 zelotho engu-6/49:

1. 1-2-3-4-5-6
2. 1-2-3-4-5-7
3. 1-2-3-4-6-7
4. 1-2-3-5-6-7
5. 1-2-4-5-6-7
6. 1-3-4-5-6-7
7. 2-3-4-5-6-7

Isu lezinombolo ezingavamile

Ngokuphambene nenkolelo evamile yokudlala izinombolo "zenhlanhla", lelisu liphakamisa ukukhetha izinombolo ezidlalwa kancane. Umqondo wukuthi uma uwinile, mancane amathuba okuthi uhlanganyele umklomelo.

Amanye amathiphu aleli su:

• Gwema izinombolo ezisuselwe kudethi (1-31), njengoba abantu abaningi bedlala ngezinsuku zokuzalwa nezinsuku zokuzalwa.
• Cabangela izinombolo ezingaphezulu kuka-31 noma izinombolo “ezimbi” njengo-47.
• Gwema amaphethini asobala afana nama-diagonal noma imingcele ethikithini.

Indlela yezibalo

Le ndlela ibandakanya ukuhlaziya imiphumela yomlando ukuze kutholakale amaphethini. Nakuba ilotho ingahleliwe, ezinye izinombolo zivame ukuvela kaningi kunezinye ngokuhamba kwesikhathi.

Amathuluzi afana I-Lottery.com Banikeza ukuhlaziywa kwemvamisa kwamalotho ahlukahlukene, okungakusiza wenze izinqumo ezinolwazi.

Iliphi isu elingcono kakhulu lokukhetha izinombolo zelotho?

Isu elingcono kakhulu lincike ezintweni ezimbalwa, kufaka phakathi uhlobo lwelotho, ibhajethi yakho kanye nemigomo yakho yomuntu siqu. Nokho, indlela elinganiselayo ehlanganisa amasu ahlukene ngokuvamile iyona ephumelela kakhulu. Ngokwesibonelo:

1. Sebenzisa ukuhlaziywa kwezibalo ukuze ubone izinombolo ezingakaveli isikhathi eside.
2. Sebenzisa inqubo yenombolo ye-delta ukuze uqinisekise ukusatshalaliswa okuhle.
3. Cabangela ukufaka inombolo eyodwa noma ezimbili "ezingajwayelekile" ukuze ukhuphule umklomelo wakho uma uwina.

Khumbula, alikho isu elingaqinisekisa ukuwina, kodwa lawa masu angenza ukuzizwisa kwakho kwegeyimu kube nolwazi oluthe xaxa futhi okungenzeka kube yimpumelelo ngokuhamba kwesikhathi.

Ukuphathwa kwebhange

Isici esibalulekile, futhi esivame ukunganakwa, sanoma iyiphi i-algorithm yokuwina ilotho ukuphathwa ngempumelelo kwe-bankroll. Leli su lezezimali lingenza umehluko phakathi komdlali odlala nje kanye nomuntu osondela kwilotho ngendlela ehlelekile neqhubekayo.

Ukuphathwa kwe-lottery bankroll kubandakanya ukubeka isabelomali esithile sokudlala nokunamathela kuso ngokuqinile, ngaphandle kokuwina noma ukulahlekelwa. Lesi siyalo sibalulekile ukuze ugweme ukugembula kwezinkinga futhi ugcine isici sokuzijabulisa selotho.

Ungayisetha kanjani i-lottery bankroll yakho

1. Chaza ibhajethi yakho yanyanga zonke: Thola ukuthi yimalini ongakwazi ukuyisebenzisa kulotho ngaphandle kokuthinta izidingo zakho eziyisisekelo noma ukonga.
2. Hlukanisa isabelomali sakho: Sabalalisa i-bankroll yakho inyanga yonke. Isibonelo, uma i-bankroll yakho ingu-€100, ungadlala u-€25 ngeviki.
3. Beka imikhawulo yokulahlekelwa: Nquma kusengaphambili ukuthi uzimisele ukulahlekelwa yimalini ngaphambi kokuba uyeke.
4. Uhlelo lokutshalwa kabusha: Thola ukuthi yimaphi amaphesenti okuwina kwakho okuncane ozowatshala kabusha kumathikithi engeziwe.

Amasu okuphatha amabhange

Kunamasu amaningana okukhulisa i-bankroll yakho:

• Isu lokubheja eligxilile: Dlala njalo inani elifanayo, ngaphandle kwemiphumela yangaphambilini.
• Isu eliqhubekayo: Khulisa ukubheja kwakho kancane kancane ngemva kokulahlekelwa ngakunye, ngethemba lokubuyisela ukulahlekelwa ngokuwina okukodwa.
• Isu yenani elilindelekile: Dlala kuphela uma i-jackpot eqoqiwe idlula inani elibi elilindelekile lethikithi.

Iliphi isu elingcono kakhulu lokuphatha i-bankroll ilotho?

Isu elingcono kakhulu lincike kuphrofayili yakho yobungozi kanye nezinjongo. Kodwa-ke, kubadlali abaningi, isu lokubheja eligxilile elihlanganiswe nendlela yenani elilindelekile livamise ukuthi liphephe kakhulu futhi lizinzile.

Isibonelo sohlelo lokuphathwa kwebhange:

Semana	Ibhajethi	isu
1	25 €	5 amathikithi angu-€5 lilinye
2	25 €	Amathikithi angu-2 we-€10 + 1 kwangu-€5
3	25 €	Ithikithi elingu-1 €25 (uma i-jackpot iphezulu)
4	25 €	Kuyavumelana nezimo, ngokusekelwe emiphumeleni edlule

Amathuluzi okuphatha amabhange

Lezi zinhlelo zokusebenza namathuluzi angakusiza ukuthi ulandelele ukusebenzisa kwakho ilotho, okwenza kube lula ukuphatha izindleko zakho zelotho ngokuzibophezela:

• Izibalo zelotho: Ihlinzeka ngamathuluzi okulandelela nokuhlaziya abadlali belotho.
• Mint: Uhlelo lokusebenza lwebhajethi olujwayelekile olungakusiza ukuthi uhlukanise futhi ulandelele izindleko zelotho yakho.

Khumbula, isihluthulelo sokuphatha kahle i-bankroll isiyalo. Beka imingcele yakho futhi unamathele kuyo, kungakhathaliseki ukuthi leyo "jackpot enkulu" ingase ilinge kangakanani.

Amasistimu wokudlala athuthukile

Lapho sijula ​​sijula i-algorithm yokuwina ilotho, sithola amasistimu okudlala athuthukile adlula ukukhethwa okulula kwezinombolo ezingahleliwe. Lezi zindlela, ezakhiwe ongoti bezibalo nabadlali abanolwazi, zifuna ukuxhaphaza amaphethini namathuba ukuze kwandiswe amathuba okuwina.

Uhlelo olugcwele lokuhlanganisa

Le ndlela ihilela ukudlala zonke izinhlanganisela ezingaba khona zesethi yezinombolo. Isibonelo, kulotho engu-6/49, ungakhetha izinombolo eziyi-10 futhi udlale zonke izinhlanganisela zezinombolo eziyisi-6 kulelo qembu.

Ventajas:

• Iqinisekisa okungenani ukushaywa okukodwa uma izinombolo eziwinile zingaphakathi kokukhethwa kwakho.
• Yandisa amathuba emiklomelo emincane eminingi.

Izinkinga:

• Idinga ukutshalwa kwezimali okukhulu.
• Akwandisi amathuba okuthi izinombolo zakho kube yizo eziwinile.

Isu lezinombolo ezilandelanayo

Ngokusekelwe ekuhlaziyweni kwemiphumela yomlando, leli su liphakamisa ukuthi ufake okungenani izinombolo ezimbalwa ezilandelanayo ekukhetheni kwakho.

Ucwaningo olwenziwa yiNyuvesi yaseSouthampton luveze ukuthi u-60% welotho edonsayo ihlanganisa okungenani inombolo eyodwa elandelanayo.

Isibonelo sokukhetha: 7, 8, 15, 23, 35, 42

Indlela yesamba somlingo

Lolu hlelo lusekelwe embonweni wokuthi isamba sezinombolo eziwinile ngokuvamile siwela phakathi kwebanga elithile. Ngelotho engu-6/49, lobu bubanzi ngokuvamile buphakathi kuka-115 no-185.

Izinyathelo zokusebenzisa le ndlela:

1. Khetha izinombolo isamba sazo singaphakathi kwebanga "lomlingo".
2. Qiniseka ukuthi unokusabalalisa okuhle kwezinombolo eziphakeme neziphansi, ezilinganayo neziyinqaba.

Isibonelo sokukhetha kusetshenziswa indlela yesamba somlingo: 7, 23, 28, 34, 41, 49 (isamba: 182)

Indlela ye-matrix encishisiwe

Lolu hlelo oluthuthukisiwe lubandakanya ukudala i-matrix yezinombolo bese unciphisa ngokuhlelekile ukuze ukhiqize izinhlanganisela zokudlala eziningi.

Izinyathelo:

1. Dala i-matrix engu-3x3 enezinombolo ukusuka ku-1 kuye ku-9.
2. Khiqiza izinhlanganisela ngokungeza izinombolo ezindaweni ezahlukene.
3. Sebenzisa lezi zibalo ohlwini lwakho lwezinombolo zelotho.

1	2	3
4	5	6
7	8	9

Isibonelo, isamba se-diagonal 1+5+9=15 singahumushela izinombolo 15, 25, 35, 45 zethikithi lakho.

Iluphi uhlelo lokudlala oluthuthukisiwe olusebenza kakhulu ekuwineni ilotho?

Alukho uhlelo olungenangqondo, njengoba ilotho isewumdlalo wamathuba. Nokho, ukuhlanganisa izindlela eziningi kungandisa amathuba akho okuphumelela. Ngokwesibonelo:

1. Sebenzisa isu lezinombolo ezilandelanayo ukukhetha ipheya yezinombolo.
2. Sebenzisa indlela yesamba somlingo ukuze uqinisekise ukuthi ukukhetha kwakho kungaphakathi kwebanga "lenhlanhla".
3. Sebenzisa indlela ye-matrix encishisiwe ukuze ukhiqize izinhlanganisela ezengeziwe.

Khumbula, lawa masistimu awaqinisekisi ukuthi uzowina, kodwa angenza igeyimu yakho ibe namasu futhi ibe nempumelelo enkulu ngokuhamba kwesikhathi.

Izinganekwane namaqiniso

Ezweni lelotho, izinganekwane nezinkolelo ezithandwayo zandile. Ingxenye ebalulekile yokuthuthukisa a i-algorithm yokuwina ilotho okusebenzayo ukuhlukanisa iqiniso nenganekwane. Ake sihlaziye ezinye zezinganekwane ezivame kakhulu futhi sihlole amaqiniso ngemuva kwazo.

Inganekwane 1: Kunezinombolo “zenhlanhla”

Iqiniso: Zonke izinombolo zinethuba elifanayo lokuphuma ngokulingana okufanelekile. Azikho izinombolo "ezinenhlanhla" noma "ezineshwa" ngokombono wezibalo.

Kodwa-ke, ukudlala izinombolo ezibhekwa “njengenhlanhla” (ezifana no-7 noma 3) zingaba nokubi: uma uwinile, maningi amathuba okuba nawe wabelane ngomklomelo, njengoba abantu abaningi bedlala lezi zinombolo.

Inganekwane yesi-2: Ukudlala izinombolo ezifanayo kukhulisa amathuba akho okuwina

IqinisoUmdwebo ngamunye umcimbi ozimele. Amathuba akho okuwina ayafana kukho konke ukutonyulwa, kungakhathaliseki ukuthi unesikhathi esingakanani udlala izinombolo ezifanayo.

Nokho, ungabheka Ungawabeka kanjani amafomula ku-Excel ukwenza ukuhlaziya komuntu siqu kwezinhlanganisela zezinombolo zakho.

Inganekwane yesi-3: Izinombolo ezingakaphumi isikhathi eside zinamathuba amaningi okuthi ziphume

Iqiniso: Lokhu okubizwa ngokuthi "iphutha lomdlali". Eqinisweni, inombolo ngayinye inamathuba afanayo okuthi iqhamuke kukho konke ukutonyulwa kwayo, kungakhathaliseki ukuthi isinesikhathi esingakanani yagcina ukudwetshwa.

Kodwa-ke, ungahlola amasu okuhlaziya izibalo ukuze ubone amaphethini kweyakho amasu okuwina ilotho futhi uthuthukise izinqumo zakho.

Inganekwane yesi-4: Amasistimu nama-algorithms angaqinisekisa ukuwina

Iqiniso: Alukho uhlelo olungaqinisekisa ukuthi uzowina ilotho. Ilotho ngokuyisisekelo iwumdlalo wamathuba. Amasistimu nama-algorithms angakusiza ukuthi udlale ngendlela enengqondo, kodwa awakwazi ukushintsha amathuba ayisisekelo egeyimu.

Inganekwane yesi-5: Ukuthenga amathikithi amaningi njalo kukhulisa amathuba akho okuwina

Iqiniso: Nakuba kuyiqiniso ngokobuchwepheshe ukuthi ukuthenga amathikithi engeziwe kukhulisa amathuba akho okuwina, ukwenyuka kuncane kangangokuthi ngokuvamile akuzithetheleli izindleko ezengeziwe. Isibonelo, uma amathuba okuwina engu-1 kwesigidi esingu-14, ukuthenga amathikithi ayi-10 kwandisa amathuba akho abe ku-10 ezigidini ezingu-14, nokusesekude kakhulu.

Lezi zinganekwane namaqiniso zilithinta kanjani isu lakho lokudlala?

Ukuqonda iqiniso ngalezi zinganekwane kubalulekile ekuthuthukiseni a i-algorithm yokuwina ilothoOkunye okucatshangelwayo:

1. Hlukanisa izinombolo zakho: Esikhundleni sokuthembela ezinombolweni "zenhlanhla", khetha izinombolo ezihlukahlukene ukuze ukhulise umklomelo wakho uma uwina.
2. Dlala njalo: Uma unquma ukudlala izinombolo ezifanayo, kwenze njalo, kodwa ungalindeli ukuthi lokhu kuzokwandisa amathuba akho okuwina.
3. Sebenzisa ukuhlaziya kwezibalo ngokucophelela: Nakuba ukufunda izinombolo ezingakaphumi isikhathi eside kungase kuthakazelise, ungasusi lonke isu lakho kulokhu.
4. Gxila ekuphathweni kwe-bankroll: Esikhundleni sokuchitha imali eningi kumathikithi, gxila ekudlaleni ngokuzibophezela futhi ngokwamandla akho.
5. ujabulele umdlalo: Khumbula ukuthi ilotho ngokuyinhloko iwuhlobo lokuzijabulisa. Dlala ukuze ujabule, hhayi njengesu lokutshala imali.

Ngokususa lezi zinganekwane nokuqonda amaqiniso okugembula, ungathuthukisa indlela engokoqobo nephumelelayo yokudlala ilotho. Khumbula, inani langempela le-a i-algorithm yokuwina ilotho Akukhona mayelana nokuqinisekisa ukuwina, kodwa mayelana nokukusiza ukuthi udlale ngobuchule futhi ujabulele inqubo ngokwengeziwe.

Izindaba zempumelelo

Noma i-algorithm yokuwina ilotho akuqinisekisi impumelelo, kunezindaba ezithakazelisayo zabantu abasebenzise amasu ahlelekile ukuze bandise amathuba abo okuwina. Akuzona nje lezi zindaba ezikhuthazayo, futhi zinikeza izifundo ezibalulekile mayelana nendlela yokubhekana nelotho ngamasu.

Icala likaStefan Mandel

UStefan Mandel, isazi sezibalo sase-Romanian-Australia, wenze indlela yokwandisa kakhulu amathuba akho okuwina ilotho. Isu labo:

1. Wabala zonke izinhlanganisela ezingenzeka zelotho yendawo.
2. Wathola amalotho lapho i-jackpot yayinkulu ngokuphindwe kathathu kunenombolo yezinhlanganisela ezingase zibe khona.
3. Uqoqe imali kubatshalizimali ukuze athenge amathikithi amaningi ngangokunokwenzeka.
4. Uwine amalotho angu-14 kanye nemali engaphezu kuka-$30 million ngaphambi kokuba kushintshwe imithetho ukuze kuvinjelwe indlela yakhe.

Isifundo esibalulekile:Nakuba indlela kaMandel ingasasebenzi, indlela yakhe ikhombisa amandla okucabanga ngaphandle kwebhokisi nokusebenzisa izibalo emdlalweni.

Indaba kaRichard Lustig

URichard Lustig wawina imiklomelo eyisikhombisa yelotho emikhulu esebenzisa indlela eyakhiwa eminyakeni edlule. Izimiso zayo zazihlanganisa:

• Gwema ukukhetha okusheshayo bese ukhetha izinombolo zakho.
• Phenya ukuthi izinombolo ezikhethiwe zike zawina yini ngaphambilini.
• Thenga amathikithi engeziwe omdlalo owodwa esikhundleni sokudlala imidlalo eminingi.
• Phinda utshale ingxenye yenzuzo encane.

Isifundo esibalulekile: Ukungaguquguquki nokutshalwa kabusha kwecebo kungenza umehluko ngokuhamba kwesikhathi.

Iqembu le-Nouveau Riche Lottery

Ngo-2018, iqembu labangane abangu-20 abavela eQuebec, eCanada, lawina i-jackpot eyizigidi ezingu-60 ngokusebenzisa isu elihlangene:

• Bakha iqembu lelotho elisemthethweni elinemithetho ecacile.
• Ilungu ngalinye linikele ngenani elingashintshi nyanga zonke.
• Basebenzise inhlanganisela yezinombolo ezigxilile neziguquguqukayo ezisuselwe ezenzakalweni ezimpilweni zabo.

Isifundo esibalulekile: Ukubambisana kungakhuphula amathuba akho okuwina futhi kwenze ukuzizwisa kujabulise futhi kube nomphakathi.

Indlela yezibalo ka-Joan Ginther

UJoan Ginther, owayenguprofesa wezibalo, wawina imiklomelo yelotho yezigidi zamarandi ezine phakathi kuka-1993 no-2010. Nakuba engazange ayiveze ngokuqondile indlela yakhe, ochwepheshe bacabanga ukuthi wayisebenzisa:

• Ukuhlaziywa kwezibalo okuthuthukisiwe kwamaphethini kumageyimu wamakhadi okuklwebha.
• Ukuthengwa kwamaqhinga amanani amakhulu amathikithi ezindaweni ezithile.

Isifundo esibalulekile: Ulwazi olunzulu lwamathuba kanye nokuzimisela ukutshala imali kakhulu kungakunikeza inzuzo.

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