题目描述

Polycarp doesn't like integers that are divisible by 3 or end with the digit 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) integers which he likes: 1,2,4,5,7,8,10,11,14,16,…. Output the k-th element of this sequence (the elements are numbered from 1).

输入格式

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

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

输出格式

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

样例

10 
1 
2 
3 
4 
5 
6 
7 
8 
9 
1000 

1 
2 
4 
5 
7 
8 
10 
11 
14 
1666 

提示

By 夏夜