import math
import random

totalBags = 0
numRequiredStatIncreases = 45
numTrials = 10000
minBags = math.inf
maxBags = 0

for x in range(numTrials):
    statIncreases = 0
    bagCount = 0

    while statIncreases < numRequiredStatIncreases:
        totalBeans = random.randrange(1, 5) + random.randrange(1, 5) + random.randrange(1, 5)
        for y in range(totalBeans):
            n = random.randrange(0, 9)
            if n == 8:
                totalEggs = random.randrange(1, 5) + 3
                for z in range(totalEggs):
                    if random.random() < 0.7:
                        statIncreases += 1
        bagCount += 1
        totalBags += 1

    if bagCount > maxBags:
        maxBags = bagCount
    if bagCount < minBags:
        minBags = bagCount

print("Minimum number of bags: " + str(minBags))
print("Maximum number of bags: " + str(maxBags))
print("Average number of bags: " + str(totalBags / numTrials))