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A14217 | Short Task

时间限制1s
内存限制256MB
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题目描述

Let us denote by $d(n)$ the sum of all divisors of the number $n$ , i.e. $d(n) = \sum\limits_{k | n} k$ .

For example, $d(1) = 1$ , $d(4) = 1+2+4=7$ , $d(6) = 1+2+3+6=12$ .

For a given number $c$ , find the minimum $n$ such that $d(n) = c$ .

输入格式

The first line contains one integer $t$ ( $1 \le t \le 10^4$ ). Then $t$ test cases follow.

Each test case is characterized by one integer $c$ ( $1 \le c \le 10^7$ ).

输出格式

For each test case, output:

- "-1" if there is no such $n$ that $d(n) = c$ ;
- $n$ , otherwise.

输入输出样例

输入 #1
12
1
2
3
4
5
6
7
8
9
10
39
691
输出 #1
1
-1
2
3
-1
5
4
7
-1
-1
18
-1
C++ 编辑器
输入
输出