from typing import Counter


def dirac_dice() -> Counter:
    """ The map of roll value -> universe count of a set of three dirac dice """
    counts = Counter()
    for a in range(1, 1 + 3):
        for b in range(1, 1 + 3):
            for c in range(1, 1 + 3):
                counts[a + b + c] += 1
    return counts