#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  while (t) {
    int n;
    cin >> n;
    int a = 30 * (n / 18);
    int b = n % 18;
    if (b == 0) a -= 1;
    if (b == 1) a += 1;
    if (b == 2) a += 2;
    if (b == 3) a += 4;
    if (b == 4) a += 5;
    if (b == 5) a += 7;
    if (b == 6) a += 8;
    if (b == 7) a += 10;
    if (b == 8) a += 11;
    if (b == 9) a += 14;
    if (b == 10) a += 16;
    if (b == 11) a += 17;
    if (b == 12) a += 19;
    if (b == 13) a += 20;
    if (b == 14) a += 22;
    if (b == 15) a += 25;
    if (b == 16) a += 26;
    if (b == 17) a += 28;
    cout << a << "\n";
    t--;
  }
}

### Prompt

Generate a CPP solution to the following problem:

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

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  while (t) {
    int n;
    cin >> n;
    int a = 30 * (n / 18);
    int b = n % 18;
    if (b == 0) a -= 1;
    if (b == 1) a += 1;
    if (b == 2) a += 2;
    if (b == 3) a += 4;
    if (b == 4) a += 5;
    if (b == 5) a += 7;
    if (b == 6) a += 8;
    if (b == 7) a += 10;
    if (b == 8) a += 11;
    if (b == 9) a += 14;
    if (b == 10) a += 16;
    if (b == 11) a += 17;
    if (b == 12) a += 19;
    if (b == 13) a += 20;
    if (b == 14) a += 22;
    if (b == 15) a += 25;
    if (b == 16) a += 26;
    if (b == 17) a += 28;
    cout << a << "\n";
    t--;
  }
}

```