From 5b67c2610f0cca247cf9c619c49df7378e749681 Mon Sep 17 00:00:00 2001 From: ObaidaHY Date: Sat, 18 Jun 2022 20:48:12 +0300 Subject: [PATCH] changing the implementation of is_Fibonacci function --- .../function.py | 19 ++++++++++--------- 1 file changed, 10 insertions(+), 9 deletions(-) diff --git a/Fibonacci-number-detector-function/function.py b/Fibonacci-number-detector-function/function.py index 2c9b684..4004d7d 100644 --- a/Fibonacci-number-detector-function/function.py +++ b/Fibonacci-number-detector-function/function.py @@ -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) pFad - Phonifier reborn

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