A15775 | Living Sequence

In Japan, the number $4$ reads like death, so Bob decided to build a live sequence. Living sequence $a$ contains all natural numbers that do not contain the digit $4$ . $a = [1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, \ldots]$ .

For example, the number $1235$ is part of the sequence $a$ , but the numbers $4321$ , $443$ are not part of the sequence $a$ .

Bob realized that he does not know how to quickly search for a particular number by the position $k$ in the sequence, so he asks for your help.

For example, if Bob wants to find the number at position $k = 4$ (indexing from $1$ ), you need to answer $a_k = 5$ .

The first line of input data contains a single integer $t$ ( $1 \le t \le 10^4$ ) — the number of test cases.

In the only line of each test case, there is a single integer $k$ ( $1 \le k \le 10^{12}$ ) — the position Bob is interested in.

For each test case, print on a separate line the number $a_k$ in indexing with $1$ .