from random import *

def playMatch(p):
    if random() <= p:
        return 3
    else:
        return 0


def playEvent(r, p, gp = 0):
    points = 0
    T8 = 0
    T4 = 0
    win = 0
    for round in range(r):
        points += playMatch(p)
    if points >= (r-1)*3:
        T8 = 1
    if gp == 1 and points >= (r-2)*3:
        T8 = 1
    if T8 == 1:
        if playMatch(p) > 0:
            T4 = 1
            if playMatch(p) > 0:
                if playMatch(p) > 0:
                    win = 1
    return (T8, T4, win)

def simulate(p, numptqs, numpptqs, ptqrounds, pptqrounds, rptqrounds):
    n = 100000
    ptqqual = 0
    pptqqual = 0
    rptq=0
    for i in range(n):
        for j in range(numptqs):
            if playEvent(ptqrounds, p)[2] == 1:
                ptqqual += 1
                break
        for j in range(numpptqs):
            if playEvent(pptqrounds, p)[2] == 1:
                rptq = 1
                break
        if rptq == 1:
            if playEvent(rptqrounds, p)[1] == 1:
                pptqqual += 1
    return (ptqqual/n, pptqqual/n)