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Poveste şi cerinţă...

Old Man Ivan, a hard working farmer, tired after a long day of beating the fields, he decided to go to bed.
 
Being a religious man, he was visited at night by Apostle in a dream. He promised Ivan that his next harvest will be rich, if the farmer is able to help him out with a problem that had been bothering the poor Apostle for a long time.
 
"Given $K$ and $K$, natural numbers, and $X$ is even, find out the sum of the first $K$ palindromes with $X$ digits".
 
Because Apostle knows that Old Man Ivan is a mere mortal, he only wants the remainder of this sum when divided by $666013$.
 
Help Ivan solve the problem.

h2. Date de intrare

Fişierul de intrare $dream.in$ ...

The only line of the input file $dream.in$ consists of two integers, $K$ and $X$.

h2. Date de ieşire

În fişierul de ieşire $dream.out$ ...

The output file $dream.out$ will contain the answer requested by the Apostle.

h2. Restricţii

* $... ≤ ... ≤ ...$

* $1 ≤ K, X ≤ 10^5$
* For tests worth $15$ points, $X$ ≤ 8.
* For tests worth $20$ more points, $X$ ≤ 18.
* For tests worth $35$ more points, $X * K$ ≤ 10^5.
 

h2. Exemplu
table(example). |_. dream.in |_. dream.out |

| This is some
  text written on
  multiple lines.
| This is another
  text written on
  multiple lines.

| 3 4
| 3333

|
h3. Explicaţie

...

The first 3 palindromes with 4 digits are 1001, 1111, 1221. The sum will be 1001 + 1111 + 1221 = 3333.

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