spoj#CRZYSMKR. Crazy Smoker

Crazy Smoker

 

The "BHAI Group" Of Every College is Famous For Many Things.
So One Day The Leader Of Bhai Group decided to smoke **C(N)** cigarettes each day:
 - **F(N) = 34<sup>N</sup> + (30 x N) + 32**
 - **C(N) = F(N) mod (11)**, where **x mod (y)** is the remainder obtained by diving x by y.
But  Bhai Group's Leader's girlfriend wants that he doesn't smoke any cigarette, so she made modifications:
 - **F(N) = 34<sup>N</sup> + (30 x N) + (32 + M)**
 - **C(N) = F(N) mod (11)**
**Input**
First line of each test case is an integer **T**, total number of test cases. Next **T** lines contains a single integer **N**.
**Output**
Print the **minimum** value of **M** in single line for each test case.
**Constraints**<br>
<b>
 - 1 <= T <= 10<sup>6</sup>
 - 1 <= N <= 10<sup>18</sup>
</b>

The "BHAI Group" Of IIIT Allahabad is Famous For Many Things,Leading In Every Field Of College Activity

So One Day The Leader Of Bhai Group decided to smoke C(N) cigarettes each day:

 - F(N) = 34^N+ (30 x N) + 32

 - C(N) = F(N) mod (11), where x mod (y) is the remainder obtained by diving x by y.

But  Bhai Group's Leader's Girlfriend wants that he doesn't smoke any cigarette, so she made modifications:

 - F(N) = 34^N+ (30 x N) + (32 + M)

 - C(N) = F(N) mod (11)

Edit 1 : Time Limit Set To .100s

Problem Credits : IIIT Allahabad HE Club

Input

First line of each test case is an integer T, total number of test cases. Next T lines contains a single integer N.

Output

Print the minimum value of M in single line for each test case.

Constraints

1 <= T <= 10^6

1 <= N <= 10^18

Example

Input:
2
1
2
Output:
3
6
Explaination :
For N = 1
F(N) = 34 + 30 + 32 = 96
So, M = 3
Now, C(N) = 99 mod(11) = 0
For N = 2
F(N) = 1156 + 60 + 32 = 1248
So, M = 6
Now, C(N) = 1254 mod(11) = 0