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[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

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

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