human
Give me a the Python program 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 program you requested.
 def dislike_three(k):
    i, n, l = 0, 0, 0
    while n != k:
        i += 1
        if i % 3 and str(i)[-1] != "3":
            n += 1
            l = i
    return l

t = int(input())

for _ in range(t):
    k = int(input())
    print(dislike_three(k))