Created
July 3, 2014 12:29
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判断一组数中哪些是斐波那契数
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| #-*- coding:utf-8 -*- | |
| from decimal import Decimal, getcontext | |
| getcontext().prec = 50 | |
| PHI = Decimal(0.5) * (Decimal(5).sqrt() + 1) | |
| def rdiff(n): | |
| n = Decimal(n) | |
| a = PHI * n | |
| return Decimal(round(a)) * n - a * n | |
| def is_fib(n): | |
| return n <= 3 or -1 < rdiff(n) < 1 | |
| class Fibo: | |
| def __init__(self): | |
| self.a = 0L | |
| self.b = 1L | |
| def next(self): | |
| self.a, self.b = self.b, self.a + self.b | |
| return self.a | |
| def fib_test(): | |
| fib = Fibo() | |
| n = 0L | |
| while n < 10L**20: | |
| n = fib.next() | |
| print n, rdiff(n) | |
| if __name__ == '__main__': | |
| n = int(raw_input()) | |
| nums = [int(raw_input()) for i in range(n)] | |
| fib = Fibo() | |
| curr = 0 | |
| result = {} | |
| for num in sorted(nums): | |
| while curr < num: | |
| curr = fib.next() | |
| result[num] = "IsFibo" if curr == num else "IsNotFibo" | |
| for num in nums: | |
| print result[num] |
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