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#827. 循环小数

统计

回想一下,当小数循环时,我们会在循环节上方加一条横线。例如,$\frac{1}{11}$ 写为 $1.\overline{09}$,$\frac{1}{6}$ 写为 $1.1\overline{6}$。我们将小数中横线下的部分称为循环节(repetend)。因此,在前面的例子中,$\frac{1}{11}$ 的循环节是 $09$,而 $\frac{1}{6}$ 的循环节是 $6$。

Danny 正在研究循环小数,他想知道任意给定有理数的循环节是什么。然而,计算这些数值变得非常繁琐,所以他需要你的帮助。他请求你编写一个程序来找出小数的循环部分。

输入格式

输入包含一个数字 $k$($1 \le k \le 1000$),随后有 $k$ 行。每行包含两个整数 $n$ 和 $d$,分别代表分数的分子和分母。这些数字的范围在 $[1, 1000]$,即满足 $1 \le n, d \le 1000$。

输出格式

输出 $k$ 行。在每一行中,写出 $\frac{n}{d}$ 的小数形式的循环部分。如果该小数是有限小数,则输出 “Terminates”。

样例

样例输入 1

4
1 6
4 9
1 7
1 25

样例输出 1

6
4
142857
Terminates

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