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  1. # Takahashi's Fibonacci number algorithm
  2. def fib(n):
  3.     def aux(n):
  4.         """Return F(n),L(n)"""
  5.         if n == 0: return 0,2
  6.         else:
  7.             f,l = aux(n//2)
  8.             temp = f*f
  9.             f = (f+l)//2
  10.             sign = 1-n//2%2*2
  11.             f = 2*(f*f)-3*temp-2*sign
  12.             l = 5*temp+2*sign
  13.             if n%2 == 0: return f,l
  14.             else: return (f+l)//2, (5*f+l)//2
  15.     if n%2 == 0:
  16.         f,l = aux(n//2)
  17.         return f*l
  18.     else:
  19.         f,l = aux(n-1)
  20.         return (f+l)//2
  21.  
  22. print(fib(10000))
Success #stdin #stdout 0s 9024KB
comments (?)
stdin 
Standard input is empty
stdout 
33644764876431783266621612005107543310302148460680063906564769974680081442166662368155595513633734025582065332680836159373734790483865268263040892463056431887354544369559827491606602099884183933864652731300088830269235673613135117579297437854413752130520504347701602264758318906527890855154366159582987279682987510631200575428783453215515103870818298969791613127856265033195487140214287532698187962046936097879900350962302291026368131493195275630227837628441540360584402572114334961180023091208287046088923962328835461505776583271252546093591128203925285393434620904245248929403901706233888991085841065183173360437470737908552631764325733993712871937587746897479926305837065742830161637408969178426378624212835258112820516370298089332099905707920064367426202389783111470054074998459250360633560933883831923386783056136435351892133279732908133732642652633989763922723407882928177953580570993691049175470808931841056146322338217465637321248226383092103297701648054726243842374862411453093812206564914032751086643394517512161526545361333111314042436854805106765843493523836959653428071768775328348234345557366719731392746273629108210679280784718035329131176778924659089938635459327894523777674406192240337638674004021330343297496902028328145933418826817683893072003634795623117103101291953169794607632737589253530772552375943788434504067715555779056450443016640119462580972216729758615026968443146952034614932291105970676243268515992834709891284706740862008587135016260312071903172086094081298321581077282076353186624611278245537208532365305775956430072517744315051539600905168603220349163222640885248852433158051534849622434848299380905070483482449327453732624567755879089187190803662058009594743150052402532709746995318770724376825907419939632265984147498193609285223945039707165443156421328157688908058783183404917434556270520223564846495196112460268313970975069382648706613264507665074611512677522748621598642530711298441182622661057163515069260029861704945425047491378115154139941550671256271197133252763631939606902895650288268608362241082050562430701794976171121233066073310059947366875
https://ideone.com/z1sUp4
language:
Python (cpython 2.7.16)
created:
9 years ago
visibility:
public

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