First character

 A. Dislike of Threes

Polycarp doesn't like integers that are divisible by 3$3$ or end with the digit 3$3$ in their decimal representation. Integers that meet both conditions are disliked by Polycarp, too.

Polycarp starts to write out the positive (greater than 0$0$) integers which he likes: 1,2,4,5,7,8,10,11,14,16,…$1,2,4,5,7,8,10,11,14,16,\dots$. Output the k$k$-th element of this sequence (the elements are numbered from 1$1$).

Input

The first line contains one integer t$t$ (1≤t≤100$1\le t\le 100$) — the number of test cases. Then t$t$ test cases follow.

Each test case consists of one line containing one integer k$k$ (1≤k≤1000$1\le k\le 1000$).

Output

For each test case, output in a separate line one integer x$x$ — the k$k$-th element of the sequence that was written out by Polycarp.

Example

input

Copy

10
1
2
3
4
5
6
7
8
9
1000

output

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1
2
4
5
7
8
10
11
14
1666

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