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Digit multiplier
Submissions: 4230   Accuracy:

23%

  Difficulty: Medium   Marks: 4

Given a positive integer N, find the smallest number S such that the product of all the digits of S is equal to the number N.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. The first line of each test case contains a positive integer N.

Output:
Print out the number S. If there exists no such number, then print -1.

Constraints:
1 <= T <= 200
1 <= N <= 109

Examples: 
Input:
2
100
26

Output:
455
-1

** For More Input/Output Examples Use 'Expected Output' option **

Author: Rohan Malhotra


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