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implementing is_Fibonacci function differently #1

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19 changes: 10 additions & 9 deletions Fibonacci-number-detector-function/function.py
Original file line number Diff line number Diff line change
@@ -1,10 +1,11 @@
import math

# A utility function that returns true if x is perfect square
def isPerfectSquare(x):
s = int(math.sqrt(x))
return s*s == x

# Returns true if n is a Fibonacci Number, else false
def isFibonacci(n):
s = []
a, b = 0, 1
while a <= n:
s = [a]
a, b = b, a + b
if n in s:
return True
else:
return False
# n is Fibonacci iff (5*n*n + 4 or 5*n*n - 4) is a perfect square
return isPerfectSquare(5*n*n + 4) or isPerfectSquare(5*n*n - 4)