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":
assistant
#Here is the Python program you requested.
 def func() :
    a = []
    for i in range(10001) :
        if i%3==0 or i%10==3 :
            continue
        else :
            a.append(i)
    return a
    
l = []    
l = func() 
t = int(input())
for tt in range(t) :
    x = int(input())
    print(l[x-1])