13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T649,

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 $$$a_k = 5$$$.

Input

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 $$$k$$$ ($$$1 \le k \le 10^{12}$$$) —

Living Sequence

Examples