# DCP-257: Divided Lucky Number Back to All Problems

Easy Math > Number Theory

Towhid loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Unfortunately, not all numbers are lucky. Towhid calls a “Divided Lucky Number” if the number is divided by **n, 4 and 7** . For example, if n=3 then “Divided Lucky Number“ are 84 , 252, 444444. Input: ------ Input starts with an integer **T (T≤ 10000)** , denoting the number of test cases. The next line contains an integer **n (1 ≤ n ≤ 10^15)**. Output: ------- For each case, print one line containing **“Divided Lucky Number”** If there are **multiple solutions**, print minimum value of them and value must be grater than zero . Sample Input ------------ 3 11 3 5 Sample Output ------------- 308 84 140

### Problem Limits

 Language Time Limit (seconds) C 1.00 C++ 1.00 C++14 1.00 C# 2.00 Go 2.00 Java 2.00 JavaScript 2.00 Objective-C 2.00 Perl 2.00 PHP 2.00 Python 2.00 Python3 2.00 Ruby 2.00 VB.Net 2.00

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