`context`.`divkbaseb`(`k`, `b`)

Generates an automaton that recognises the writing in base $b$ of the numbers divisible by the integer $k$.

Preconditions:

Postconditions:

Examples



In [1]:

    
import vcsn
c = vcsn.context('lal_char(0-9), b')
c.divkbaseb(3, 2)









    



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    Out[1]:



In [2]:

    
c.divkbaseb(2, 4)









    Out[2]:

If $k$ and $b$ are coprime, then the result is known to be minimal.



In [3]:

    
div4base4 = c.divkbaseb(4, 4)
div4base4









    Out[3]:



In [4]:

    
div4base4.minimize()









    Out[4]: