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#9248. 一道简单的数学题

الإحصائيات

给定一个整数 $n$。对于每个满足 $p \le q$ 且 $pq \mid n$ 的整数对 $(p, q)$,记 $r = \frac{p}{q}$。求 $r$ 的不同取值的个数。

输入格式

输入的第一行包含一个整数 $q$ ($1 \le q \le 2000$),表示测试用例的数量。接下来的 $q$ 行,每行包含一个整数 $n$ ($1 \le n \le 10^{10}$)。

输出格式

对于每个测试用例,输出一行:一个整数,表示 $r$ 的不同取值的个数。

样例

样例输入 1

10
1
2
3
4
5
6
7
8
9
10

样例输出 1

1
2
2
3
2
5
2
4
3
5

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