def broadcast_chunks(*chunkss):
    """ Construct a chunks tuple that broadcasts many chunks tuples

    >>> a = ((5, 5),)
    >>> b = ((5, 5),)
    >>> broadcast_chunks(a, b)
    ((5, 5),)

    >>> a = ((10, 10, 10), (5, 5),)
    >>> b = ((5, 5),)
    >>> broadcast_chunks(a, b)
    ((10, 10, 10), (5, 5))

    >>> a = ((10, 10, 10), (5, 5),)
    >>> b = ((1,), (5, 5),)
    >>> broadcast_chunks(a, b)
    ((10, 10, 10), (5, 5))

    >>> a = ((10, 10, 10), (5, 5),)
    >>> b = ((3, 3,), (5, 5),)
    >>> broadcast_chunks(a, b)
    Traceback (most recent call last):
        ...
    ValueError: Chunks do not align: [(10, 10, 10), (3, 3)]
    """
    if not chunkss:
        return ()
    elif len(chunkss) == 1:
        return chunkss[0]
    n = max(map(len, chunkss))
    chunkss2 = [((1,),) * (n - len(c)) + c for c in chunkss]
    result = []
    for i in range(n):
        step1 = [c[i] for c in chunkss2]
        if all(c == (1,) for c in step1):
            step2 = step1
        else:
            step2 = [c for c in step1 if c != (1,)]
        if len(set(step2)) != 1:
            raise ValueError("Chunks do not align: %s" % str(step2))
        result.append(step2[0])
    return tuple(result)