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문제

Given an integer N, what is the smallest positive integer X, whose representation in base 10 consists only of digits ’0’ and ’1’, such that X is divisible by N?

입력

The first line of the input file starts with the integer T, the number of test cases (1 ≤ T ≤ 100). Each test case consists of a number N(1 ≤ N ≤ 300) on a line.

출력

For each test case, output the smallest positive number X such that X is divisible by N and it contains only digits ’0’ and ’1’. Given the constraints, it is guaranteed that there always is a solution (for any positive N) and, in this problem, it will always fit into a 64-bit signed integer.

예제 입력

3
1
2
20

예제 출력

1
10
100

힌트