Solution to problem 25 in Julia

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David Doblas Jiménez 2021-08-15 09:09:25 +02:00
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Created on 15 Aug 2021
@author: David Doblas Jiménez
@email: daviddoji@pm.me
Solution for Problem 25 of Project Euler
https://projecteuler.net/problem=25
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function Problem25()
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The Fibonacci sequence is defined by the recurrence relation:
Fn = Fn1 + Fn2, where F1 = 1 and F2 = 1.
Hence the first 12 terms will be:
F1 = 1
F2 = 1
F3 = 2
F4 = 3
F5 = 5
F6 = 8
F7 = 13
F8 = 21
F9 = 34
F10 = 55
F11 = 89
F12 = 144
The 12th term, F12, is the first term to contain three digits.
What is the index of the first term in the Fibonacci sequence to
contain 1000 digits?
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a, b = 1, 1
index = 2
while length(digits(b)) < 1000
a, b = big(b), big(b+a)
index += 1
end
return index
end
println("Time to evaluate Problem 25:")
@time Problem25()
println("")
println("Result for Problem 25: ", Problem25())