human
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":



Give me a the Python code you requested?
assistant
#Here is the Python code you requested.
 def series():
    ls = []
    j = 0
    while len(ls) <= 1000:
        if j % 3 != 0 and j % 10 != 3:
            ls.append(j)
        j += 1
    return ls

n = int(input())
lst1 = []
for i in range(n):
    k = int(input())
    lst1.append(k)
lis = series()
for i in range(n):
    m = lis[lst1[i]-1]
    print(m)