from collections import namedtuple

# dice format:

Atk = namedtuple('Atk', ['damage', 'surges'])

RED_DICE = [Atk(1,0), Atk(2,0), Atk(2,0), Atk(2,1), Atk(3,0), Atk(3,0)]
GREEN_DICE = [Atk(0,1), Atk(1,1), Atk(2,0), Atk(1,1), Atk(2,0), Atk(2,0)]
YELLOW_DICE = [Atk(0,1), Atk(1,2), Atk(2,0), Atk(1,1), Atk(0,1), Atk(1,0)]

Def = namedtuple('Def', ['blocks', 'evades'])

BLACK_DICE = [Def(1,0), Def(1,0), Def(2,0), Def(2,0), Def(3,0), Def(0,1)]

def eval(attack, defense):
    total = attack.damage
    if (attack.surges - defense.evades) >= 1:
        total += 2
    total -= defense.blocks
    return max(0, total)

class Roll:
    def __init__(this):
        this.combinations = [[]]

    def add(this, atk_dice):
        this.combinations = [existing + [new] for new in atk_dice for existing in this.combinations]

    def results_against(this, def_dice):
        rolls = []
        for roll in this.combinations:
            current = Atk(0,0)
            for side in roll:
                current = Atk(current.damage + side.damage, current.surges + side.surges)
            rolls += [current]
        results = [eval(atk, defense) for atk in rolls for defense in def_dice]
        return results

def summarize(results):
    total = len(results)
    print('total: %d rolls' % (total))
    for level in range(0, 8):
        absolute = sum(1 for each in results if each >= level)
        print('>= {} damage: {:.3%} ({})'.format(level, absolute / float(total), absolute))

if __name__ == '__main__':
    sim = Roll()
    sim.add(RED_DICE)
    sim.add(GREEN_DICE)
    sim.add(YELLOW_DICE)
    summarize(sim.results_against(BLACK_DICE))