Golden Ratio Test

Nature has several special irrational numbers. One of them is the golden ratio, written with the Greek letter phi, $\varphi$, whose value is

$\varphi = \frac{1 + \sqrt{5}}{2} = 1.61803399\ldots$

You are given two real numbers $a$ and $b$. Decide whether $a$ divided by $b$ equals the golden ratio or comes close enough to it. The allowed error is $\pm 1\%$, so the pair counts as golden when it satisfies the following inequality.

$\left|\frac{a}{b} - \varphi\right| \le \frac{\varphi}{100}$

The division follows the order given in the input. The value of $b$ divided by $a$ is not used in the decision.

The first line contains the number of data sets $T$. ($1 \le T \le 300$)

Each of the next $T$ lines contains two real numbers $a$ and $b$ separated by one space. A number may or may not have a decimal point. The bounds are $0.000001 \le a \le 1000000$ and $0.000001 \le b \le 1000000$, and no number has more than 10 digits after the decimal point.

Print one line for each data set. Print golden when the inequality above holds, and not when it does not.