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문제

Consider the following constant:

\[\phi = \frac{9}{10} \cdot \frac{99}{100} \cdot \frac{999}{1000} \cdot \frac{9999}{10000} \cdot \dots\]

You have to find the n-th digit after the decimal separator in the decimal representation of \(\phi\).

입력

The first line of input contains a single integer t (1 ≤ t ≤ 105) which is the number of test cases.

The next line contains t integers n (1 ≤ n ≤ 1018), one for each test case.

출력

For each test case, output a single digit which is the answer to that test case. Separate consecutive answers by single spaces.

예제 입력 1

15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

예제 출력 1

8 9 0 0 1 0 0 9 9 9 9 8 9 9 9

힌트

The constant evaluates as \(\phi\) = 0.890010099998999 . . .