【Edabit 算法 ★★★★★★】【两个大整数相加】Recursion: Sum of Two Numbers (With A Twist!)

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Recursion: Sum of Two Numbers (With A Twist!)

Instructions

This is an “expert” challenge!!! Why is a sum of two numbers an “expert” challenge!!! Well, the numbers can have 1000 digits or even beyond such count…

So, what’s the twist? You have to do the summation as if you’re doing it manually on a piece of paper, thus, the conversion of the numeric string to numeric literal is basically disallowed.

Examples

sum("12132000", "12171979") // "24303979"sum("4666", "544") // "5210"sum("1521512512512512515", "898989898989988998899898") // "898991420502501511412413"sum("5125515215521515", "125261616261626") // "5250776831783141"sum("6666666666666666666666666666", "99999999999999999999999") // "6666766666666666666666666665"sum("123456789123456789123456789", "987654321987654321987654329876543") // "987654445444443445444443453333332"

Notes

Remember how to sum two numbers ON A PAPER, such is the process.
Your function must run in less than 10 seconds because it has a time limit.
The use of Number class such as BigInt is disallowed – it will defeat the purpose and the level of difficulty associated to this challenge.
You are expected to solve this challenge recursively.

Solutions

const sum = (a, b,c=0) => {if(!a && !b && c == 0){return ''}let aa = (a)?(a.slice(-1)-0):0;let bb = (b)?(b.slice(-1)-0):0;let s = aa + bb + cc = s>9?1:0;return sum(a.slice(0,-1),b.slice(0,-1),c)+(s%10)
}

TestCases

let Test = (function(){return {assertEquals:function(actual,expected){if(actual !== expected){let errorMsg = `actual is ${actual},${expected} is expected`;throw new Error(errorMsg);}},assertNotEquals:function(actual,expected){if(actual === expected){let errorMsg = `actual is ${actual},${expected} is expected,they are equals`;throw new Error(errorMsg);}}}
})();const isRecursive = src => (`${src}`.match(RegExp(`${src.name}`, 'gm'))||[]).length > +(/function/.test(src))
Test.assertNotEquals(isRecursive(sum), false, "Recursion is required!")let [actualParam, expectedParam] = [[["12132000", "12171979"], ["4666", "544"], ["1521512512512512515", "898989898989988998899898"],["5125515215521515", "125261616261626"], ["6666666666666666666666666666", "99999999999999999999999"],["123456789123456789123456789", "987654321987654321987654329876543"], ["51", "512"],["46580672134861691487886856201063433530317493541984174240640117078384844027455455145995264175402994424834479825796316174329467969102257360195385044875023188313698661902232816682563450684527972706431205", "20129647448213526330992199933412026717951269059875880213489467074335368047371342207724579931208231032969760043956811494704380198848377355718984761723730087673439394159054420344427904875384087249296946"],["9128242816391792390367394318238609154929962550133827657886034828979294413033450307173793450924762143201991300288127408763421237279633517929936847079257713141254694944681428142978110027357322312404627593110196423560326537881370897768020382035189644680256824659171348515208671339529370866296929702167647163038519576331084019822103309755374561623148508523431380245253765653509318684179663600476971689801", "5920641803160990513445202815794518152101247319199211634010324208708552138569594568355624738331704740605556159925350097568289164018471525773848461636579024644391854277092707811953956319566890527925989019562020260846251250663758330856266051985217733863782039893158278545291027890391152027767054280498870038607952519452004179810592466387736659835203110761590431605238080432136468832137768846891022675668"],["24050292702239538714424762926989391091054882494797379961190995916419743076846190252322346159955367441832937735205583340798028856059731163836333572978411075895848661770468080051146869104337532213474993926921843996913706778627924709600100860461421587774140722793995230660233453392717776973617724296276959982403528208646617679528431859423982314682036555772485961534695291544266936268924447065901465864784710200365748971482974309578528938725051499783831735126491173069337708438252812165533370751831832345511906521502270947947504198101881866181323122256768406228518806385974069302887460096561970477705646199939356606923830372891944037065847071308700107176794261922547322922787636783283829766004529060524539701495229943211611134317723328686844713489223961776582365551050940511119736023799724295560712462775", "32509558457800134082157248923945369106923458582597107662799282973299414325101867489152494482453431986091527569819907127801971978514325573048496062254539304686542784848485721075326183780905103371293505027494462848297668132430517455611475977074377557603798687767852907762254040565866554962529868705211874976201522692137999060766380670853123585546115851899681725949430620582898894763596679656710337017496618525630124192131724949516793735384953877012134805554272494110981312910720545085389502607669244051838541600298937410166860469735980721786025686375273866096353307350361733480286161315578348192126560652007559649899391482681958298876030894402469363045420883354390088168624736238621292726748213941087878476447239860986699971354976451472810499473465596980950104110861804910439253305564075282187561761831"], ["6809632763916891310120420620586174664812635530867937840217826224568347127990297761160448320170180761000408251375466103628257285208000720825374647976159883503477330018358281993325677527017557058976068333642868984291739483975621870841667306204393840341405348294943813620516550885907643492592684427984599974017532776047374095558566398217709965020793366640224373810304569301398035374905004719899959454164388545839944663454514841628001498947789419801699846006819006975473515954356883318037820103882153723720601881130291354697184471999967716687686218472392686266650318568026273517115609143992129773683289728842208471476663161973115343223846428988702456038387814984825150310010062042877806640480710525528241328472095324930106698917227353621406980530110747055257101350540514070478171412772633866196018240727864894180766177622426511795549818029880640303307250349733954619463752541929370662897223878043296358089043269919860180819045946942402216596728187295625046088616265162395417587774677163023091414012232562","8580486073000341176464481569509088314164648516198308588306341581886828084652373143824178061446100845207932260299989735098857835077503613944792671258723699144053082578718738452102088425930223680001667115358790806513480705990372645625620985201064789499679080382290229510353519900434457951354146351017356497038201676685010533295544810336326460878234636045306593283716955770214654833569407250862467764241301491075773878798755773232056371316349556337923582112418745691372603517681014116333538448075872043025194944464917374343870889032601696418177538646357828263727642286052251539150438138687143116934852022178306775340622808992992303183802309493297583818627523253611781850609208464293666564468773980578995182119812585094120227322948794646916387478317146222403428768533848504528795446827274517795896686680232498391880209937677390643332411043134407239601699748922010617022901854909440001914242164998598960486713118948710525156592829968225269277615537170861633579862039532587858207573589726753466950083211842"]], 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]
for (let i in actualParam) Test.assertEquals(sum(...actualParam[i]), expectedParam[i])