# Problem B

CPR Number

Languages
da
en
Danish citizens have a unique personal identification number
in the Danish Central Person Register, called the *CPR
number*.

Each CPR number consists of ten digits. The first six digits represent the person’s day of birth. The following four digits are a sequence number.

Until $2007$, all
Danish CPR numbers had to follow the *modulo 11 rule*:
The CPR number $c_1$,
$c_2$, $c_3$, $c_4$, $c_5$, $c_6$, $c_7$, $c_8$, $c_9$, $c_{10}$ must satisfy
that

is divisible by $11$ without remainder.

A publication from the government agency CPR-Kontoret from
1 July 2008 explains the method using the CPR number
`070761-4285` as an example.

Validating a number with check digit

The 10 integers

0

7

0

7

6

1

4

2

8

5

multiplied by

$\times $

$\times $

$\times $

$\times $

$\times $

$\times $

$\times $

$\times $

$\times $

$\times $

their corresponding values

4

3

2

7

6

5

4

3

2

1

yield

$0$

$+21$

$+0$

$+49$

$+36$

$+5$

$+16$

$+6$

$+16$

$+5$

which sums to $154$. Dividing $154$ by $11$ yields $14$ with no remainder.

Since $11$ divides $154$ without remainder, the test is passed. Otherwise the combination of 10 digits is wrong, or the CPR number does not have a check digit.

## Input

A CPR number in the format `ddmmyy-kkkk`, i.e, $10$ digits separated by a single
hyphen. It is guaranteed that `ddmmyy`
is a valid date.

## Output

“1” if the CPR Number is valid accoring to the modulo $11$ test, else “0”.

Sample Input 1 | Sample Output 1 |
---|---|

070761-4285 |
1 |

Sample Input 2 | Sample Output 2 |
---|---|

051002-4321 |
0 |

Sample Input 3 | Sample Output 3 |
---|---|

310111-0469 |
1 |