human
Can you provide a the Python code you requested given the following:
PYTHON3 solution for "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).

Input

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).

Output

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.

Example

Input

10
1
2
3
4
5
6
7
8
9
1000

Output

1
2
4
5
7
8
10
11
14
1666":
assistant
#Here is the Python code you requested.
 def dislike():
    count = int(input())
    ip = []

    for x in range(count):
        ip.append(int(input()))

    series = []
    tmp = ''

    for i in range(1670):
        tmp = str(i)
        if i%3 !=0 and int(tmp[-1]) != 3 and i != 0:
            series.append(i)

    for k in ip:
        print(*series[k-1:k], sep='\n')

dislike()