#!/usr/bin/python3

from random import randint
import matplotlib.pyplot as plt
import numpy as np

def rollDice(dice):
    return [randint(1,6) for i in range (0, dice)]

def bestAttackers(attackers):
    bestAttackers = attackers.copy()

    if(len(attackers) == 3):
        bestAttackers.remove(min(bestAttackers))

    return bestAttackers

def deadAttackers(attackers, defensers):
    result = 0
    bestAtks = bestAttackers(attackers)

    if max(bestAtks) <= max(defensers):
        result += 1

    if (len(attackers) == len(defensers) == 2 and min(bestAtks) <= min(defensers)):
        result += 1

    return result

def deadDefensers(attackers, defensers):
    result = 0
    bestAtks = bestAttackers(attackers)

    if max(bestAtks) > max(defensers):
        result += 1
    if (len(attackers) == len(defensers) == 2 and min(bestAtks) > min(defensers)):
        result += 1

    return result

def simulate(attackers_amount, defensers_amount):
    laps, attackers_list, defensers_list = list(), list(), list()

    lap = 0

    while (attackers_amount > 1 and defensers_amount > 0):
        lap += 1
        attackers = list()
        if (attackers_amount >= 4):
            attackers = rollDice(3)
        elif (attackers_amount == 3):
            attackers = rollDice(2)
        else:
            attackers = rollDice(1)

        defensers = rollDice(2) if defensers_amount >= 2 else rollDice(1)

        attackers_amount -= deadAttackers(attackers, defensers)
        defensers_amount -= deadDefensers(attackers, defensers)

        laps.append(lap)
        attackers_list.append(attackers_amount)
        defensers_list.append(defensers_amount)

    return laps, attackers_list, defensers_list


if __name__ == "__main__":
    simulations, attackers_victories_list, defensers_victories_list = list(), list(), list()
    attackers_victories, defensers_victories = 0, 0

    attackers_amount = int(input("How many attackers at beggining: "))
    defensers_amount = int(input("How many defensers at beggining: "))
    simulations_amount = int(input("How many simulations do you want to make? "))

    for i in range(0, simulations_amount):
        simulations.append(simulate(attackers_amount, defensers_amount))

    for simulation in simulations:
        laps, attackers, defensers = simulation[0], simulation[1], simulation[2]

        if attackers[len(attackers) - 1] > defensers[len(defensers) - 1]:
            attackers_victories += 1
        if attackers[len(attackers) - 1] < defensers[len(defensers) - 1]:
            defensers_victories += 1

        attackers_victories_list.append(attackers_victories)
        defensers_victories_list.append(defensers_victories)

    plt.plot(np.arange(0, len(simulations), 1), attackers_victories_list, '+r')
    plt.plot(np.arange(0, len(simulations), 1), defensers_victories_list, '^b')
    plt.legend(['Attackers victories', 'Defensers victories'])
    plt.title('Nombre de victoires')
    plt.xlabel('Nombre de simulations')
    plt.ylabel('Victoires accumulées')

    plt.show()