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Could make up my mind whether to use a formula or run through all Fibo numbers up to 5000 digits, so I did both:
importsyssys.set_int_max_str_digits(5010)fromdecimalimport*importrandomdeffib():a,b=1,1while...:yieldaa,b=b,a+bdefmain():# preload n[digits]n=[0]lastd=0fori,finenumerate(fib(),1):d=len(str(f))ifd>lastd:lastd=dn.append(i)ifd==5000:break# if d == 50: break# do queriesr5=Decimal(5**.5)lphi=Decimal((1+r5)/2).ln()for_inrange(int(input())):q=int(input())n_formula=(r5*10**(q-1)).ln()/lphiprint(random.choice([n_formula.to_integral_value(rounding=ROUND_CEILING),n[q]]))main()
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Project Euler #25: N-digit Fibonacci number
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Could make up my mind whether to use a formula or run through all Fibo numbers up to 5000 digits, so I did both: