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  | 
