Mantra
jiǔguī
[theabacuspisionrules]Inabacus,nine"singledigits"fromonetonineareusedasdivisors,suchas"Feng"Sixadvancesintoone"meanssixdividessixquotientsintoone;"sixthreeaddsfivetosixquotients"meanssixdividesthirtyquotientstofive.
NineGuidingformula:(61sentences)
oneReturn(divideby1):Enteroneeveryone,twoeverytwo,threeeverythree,foureveryfour,fiveeveryfive,sixeverysix,seveneveryseven,eighteveryeight,andnineeverynineNine.
Tworeturn(divideby2):enteroneeverytwo,entertwoeveryfour,enterthreeeverysix,enterfoureveryeight,addfivewhentwoandone.
Sangui(divideby3):Threeoneandthreemorethanone,threetwoandsixmorethantwo,everythreeentersone,everysixenterstwo,andeverynineentersthree.
Fourreturn(divideby4):fouronetworemainingtwo,fourtwoaddingfive,fourthreesevenremainingtwo,everyfourentersone,everyeightenterstwo.
Fivereturn(divideby5):Fivetimesfortwo,fivetimesforfour,fivetimesforthree,fivetimesforfour,eightforeveryfivetimes.
Sixreturn(divideby6):addfourforsix,addfourforsix,addtwoforsix,addfiveforsix,addfiveforsix,addfourforsix,addtwoforsix,enteroneeverysix,Everytwelveenterstwo.
Sevenreturn(divideby7):sevenplusthreeatonetime,seventwoplussixunderseven,seventhreefourmorethantwo,sevenfourfivemorethanfive,sevenfivesevenmorethanone,sevensixeightmorethanfour,Everysevenentersone,everyfourteenenterstwo.
Bagui(divideby8):addtwoundereight,addfourundereighttwo,addsixundereightthree,addsixundereightfour,addfiveundereight,fivesixmorethantwo,eightsixsevenmorethanfour,Eightseveneightmorethansix,everyeightentersone.
Ninereturn(divideby9):addoneundernine,addtwoundernine,addthreeundernine,addfourundernine,addfiveundernine,addfiveundernine,addsixundernine,Addsevenunderninety-eight,addeightundernine-eight,andaddoneeverynine.
JiuguiTable
One 1 | Two 2 | Three 3 | Four 4 | Five 5 | Six 6 | Seven 7 | Eight 8 | Nine 9 | |
---|---|---|---|---|---|---|---|---|---|
one 1 | inOne | ||||||||
Two 2 | Timinguptofive | Intoone | |||||||
Three 3 | ThirtyOne | SixTwelve 62 | Enterone | ||||||
Four 4 | Twenty-two | AddMakeFive | SeventyTwo | EnterOne | |||||
Five 5 | TianZuotwo | Addasfour | Addassix | Addaseight | Enterone | ||||
Six 6 | Addfourbelow | Thirty-two | Tianmadefive | Sixty-four | Eighty-two | inOne | |||
Seven 7 | Addthreebelow | Addsixbelow | Forty-two | FiftyFive | SevenOne | EightyFour | Enterone | ||
eight 8 | Addtwobelow | Addfourbelow | Addsixbelow | Addfive | Sixty-two | Seventy-four | Eighty-six | Enterone | |
Nine 9 | Addonenext | Addtwobelow | Addthreebelow | Addfourbelow | Addfivetothebottom | Addsixtothebottom | Addseventothebottom | Addeightbelow | Enterone |