require 'matrix'
def fib_matrix(n)
matrix = Matrix[[1,1],[1,0]]
(matrix ** n)[1,0].to_i
end
def fib_loop(n)
a, b = 0, 1
if n > 1
(n-1).times do
a, b = b, a + b
end
return b
else
(0-n).times do
a, b = b - a, a
end
return a
end
end
def fib_recursion(n)
return 0 if n == 0
return 1 if n == 1
if n > 1
fib_recursion(n-2) + fib_recursion(n-1)
else
fib_recursion(n+2) - fib_recursion(n+1)
end
end
def fib(n)
re = 0
a,b = 0,1
for i in 2..n
re = a + b
a,b = b,re
end
re
end
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