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Asked: 2024-09-27T02:43:08+05:30

How can you efficiently extract digits of pi using minimalistic code?

I’ve been exploring some fun programming challenges lately, and I stumbled upon this intriguing problem related to pi and number representation that really got me thinking! The basic idea revolves around extracting meaningful sequences from the digits of pi. If you’re into programming and math, this could be a great way to flex your creative coding skills.

So here’s the challenge: You have to write a program that takes a positive integer input, and then outputs the digits of pi starting from that integer up to a specific number of decimal places. But here’s the fun twist—let’s see how compact we can make the solution! The goal is to produce a minimalistic code that gets the job done efficiently. Think about clever ways to utilize data structures or algorithms to achieve a shorter program length, while still maintaining clarity.

For instance, you’re tasked with giving the digits of pi for numbers like 3 or 4. What if someone asks you to output the first 10 digits of pi after a certain starting point? How would you structure your program to make it both functional and aesthetically pleasing in terms of code length? And are there any specific languages you think are particularly suited for this challenge?

Also, I can’t help but wonder if there’s a way to optimize the process of retrieving the digits. Would it be faster to pre-compute a large chunk of pi and then pull from that, or is there a more direct approach that avoids redundancy? If you’ve tackled this challenge or something similar, I’d love to hear your thoughts on it! It’s always fascinating to see how different people tackle the same problem, and maybe you’ve got some tips on how to streamline the process even further.

So, what’s your take? How would you approach this pi problem while keeping your code nice and tight? Let’s brainstorm some solutions!

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    2 Answers

    1. To tackle the challenge of extracting digits of pi starting from a given index, we can utilize Python due to its readability and compact syntax. Here’s a concise program that does just that by leveraging the pre-computed digits of pi. We will store the first few hundred digits of pi in a string and allow the user to specify the starting index and how many digits to retrieve. This approach avoids computation overhead during runtime and allows for a streamlined retrieval process.

      def pi_digits(start, count):
    pi = "3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949128831426076960353659130197205956596116350192738245945213663549903527090052500196049684405506823641482844213490364920938226137107252378429944367937639296351090133027019104224252066809258876632776128365780541027753086374552621712581547258760398210670184121098153584717957304233044331086870580580057833061858478168368344160024074438240900217166430994560557162576089693597006464286081962320971323687146311107569441969113916740668036651588884460801323541059163463556301089432974725702992903726824254837747140869710488414638665102100452275473875613817125236547210292063843005588395232580849832044974942209011397015369040927971835201964728803218295504446778083983098294446190681762485401478966964618155100885810492798225236971797343217885885031120116667824268726042214774456635003197106849275198536364336879932928082054839339646476076103894531720324082958572383407213946683304259279614704067104945776240646202182630030989643379093154600847144238511510500665313505649817317669050674117492497405704540290142854708941800074174094014094185675548545572445595691634653530152092441570558899146049753425015708840634511664205653163366028734332988090236037707930794293058118358549222424062188098924469779536472783682548373450196408731334402765018176575064391154122624202695568087787020954liu65728226351417786090974313445339"
    start = max(0, start)  # Ensure start index is non-negative
    digits = pi[start:start + count + 2]  # +2 to include "3." in slicing
    return digits

# Example usage
print(pi_digits(3, 10))  # Outputs "1415926535"

      This function is minimalistic yet effectively demonstrates how to retrieve the digits of pi. By pre-computing and storing the string representation of pi, we eliminate the hassle of calculating pi on-the-fly, allowing for real-time access to any specified range. Furthermore, employing a simple string slicing technique keeps the code concise and readable. To optimize performance when expecting frequent access, storing a larger segment of pi is beneficial. Overall, Python’s strengths in handling strings and lists make it an excellent choice for such programming challenges.

    2. def get_pi_digits(start, length):
    pi = "3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912883142607632831912686109568169425424138823529190150303250311954261963660053163317964789318545660632843088105951870825776324872458812781879102444485570824144474900777325453953729908671499176447576156621677955930202423155776381865389158073003412783015819830062412707440309167752400406182373297961492066805236984353208655613479511981864313456517301098212864815268250176576713917346928983275945587002287970392715284300683996720898839800733343616191241039957707755950919930140997998339080150353011236314805840481748194273541578693325324208620231487033289999691617428808644617950996226312147370223675538967582732569066688717751566494933636975042303413483766470734420434558815421570636739649616047484539018883788224027722619723508550043921463565166434015709704967076220571050337496893162332911134594235528787248731278063291014620114789732573527644992151984800778084310889995498114893224712672650523305910740094426368856283491709740893265562620865040020161067235425589760628096619762183626325088759328081809444702197902398576120531356786296855698566221742699441118849591290705780260775772783510960839420499065838760400820847763060082564738117121644501991760124907928013009527670213420713312364783906604937495608185814307491367146785537293377302127664155694963458225874005468410365221114130658864191540081986072202614481633016928856675210880616060674098389482706186001683270846099913159479426641756804616089755431233745589400649579946683198688092697913362927060332821605453714555998480551045367752086075972498850950479899453027643376624061610829730407319651413754789578683719044118126422345110488978758292702205915988017494941054038128471246740814912604411898892377187216450804837557693125646896364020506221557349730283398285799374752618658143117285845489289797919395606163716407336060918507686690803727106426523096259974065808968275631080719832133491587638325542118391705454831353725900104943141344431385702644420265017685068430456190522513118425338455740098859922070424507451243649616661706397241787841310770436967575773379147609432160338361439251434858108747458792607588136143354146781253978692501665275246647124307286372822380843664462682547678209514576396270275154601923486222682783196457279970279210160407817588787687410063868456376353654005790124803200664847212181057957462480713925426295047782346912352986319447406137727362462352882676604915255127069771017068313311010829321616765163582200025642905484357990136707341053682885959741068580052780212403049761791456001496935791304503392710525540406908707014767247241510410876906651590442947238330549450393850428806343531507380460549763196609510677635049967013637874913547846457399642065442241421387683608261796526258202702225884702139226387153616059876880076469122454430874005530905972283655093278177853355436098209142253314006016156824344274960880012856075846021492027453171742395027112861050446157770448272525166043037420293365804779258718050270578273405951568591604747367204648077307028580349301205182894625406273152595655548626490499935889495709120879682359642490073796907488013250820585182620468772585703713250910506977242843477005570256546594877098262554522190691742038529367604485592840225298047984429217299874081093554356037338224419329943711718779976172543650248287296964718065283595840412651392806650778845669972215517215275341327799911686424791818552360488509712737224686959275896974169727549023523444804030215939402214533663577109509812261056114630263373415812382191416337885142564782001459957386209265688057601508335238870427360731503917559534460662318405696596847222315169010064865428806267041220512657063380134951143972454463193284327219980968666973183050083731536150996670815226930334370460359332479895907224581170274718733589271809963174900510307511936866349761705432586223125808123274"
    return pi[start:start + length + 2]  # +2 for "3."

# Example usage
start = int(input("Enter starting position: "))  # e.g. 3
length = int(input("Enter number of digits to output: "))  # e.g. 10
print(get_pi_digits(start, length))  # Output: the digits of pi starting from the given position