Student number

A University of Helsinki student number is a sequence of nine digits. The first digit is $0$ and the last digit is a check value that allows checking for typos in the student number.

The check value is obtained by summing up the other digits multiplied by the values $3,7,1,3,7,1,3,7$ in the left-to-right order. If the sum is a multiple of $10$, the check digit is $0$. Otherwise, the check digit is the distance of the sum to the next multiple of $10$.

For example, if the student number is $012749139$, the sum is $3 \cdot 0 + 7 \cdot 1 + 1 \cdot 2 + 3 \cdot 7 + 7 \cdot 4 + 1 \cdot 9 + 3 \cdot 1 + 7 \cdot 3 = 91$. The next multiple of $10$ is $100$ and the distance to that is $9$. Thus the last digit of the student number is $9$.

In a file student.py, implement the function check_number that reports if the parameter is a valid student number. The function should return True or False.

Your function will be tested using many different sequences of digits.

def check_number(number):
    # TODO

if __name__ == "__main__":
    print(check_number("012749138")) # False
    print(check_number("012749139")) # True
    print(check_number("013333337")) # True
    print(check_number("012345678")) # False
    print(check_number("012344550")) # True
    print(check_number("1337")) # False
    print(check_number("0127491390")) # False