import random

def factory(i, b, c):
    return 4

def distributor(i, b, c):
    return 4

def wholesaler(i, b, c):
    return 4

def retailer(i, b, c):
    return 4

def beerGameTurn(factory, distributor, wholesaler, retailer,
                 inventory = [12, 12, 12, 12],
                 backlog = [0, 0, 0, 0],
                 
                 currentRequest = [4, 4, 4, 4],
                 
                 sentBeer = [4, 4, 4, 4],
                 delivered  = [4, 4, 4, 4],
                 
                 score = [0, 0, 0, 0],
                 customerRequest = 4):
    
    # step 0: add customer request to requests
    currentRequest.append(customerRequest)

    # step 1: collect new beer
    inventory = [i + d for i, d in zip(inventory, delivered)]
    
    # step 2: move sent beer to delivered
    delivered = [s for s in sentBeer]
    
    # step 3: send beer to fullfill currentRequest
    sentBeer[0] = currentRequest[0]
    
    for i in range(4):
        need = currentRequest[i+1] + backlog[i]
        # do you have enough beer?
        if need <= inventory[i]:
            inventory[i] -= need
            if i < 3:
                sentBeer[i+1] = need
            backlog[i] = 0
        else:
            backlog[i] = need - inventory[i]
            if i < 3:
                sentBeer[i+1] = inventory[i]
            inventory[i] = 0
           
    # step 4: update scores
    score = [s + .5 * i + b for s, i, b in zip(score, inventory, backlog)]
    
    # step 5: request something
    orderFromFactory = factory(inventory[0], backlog[0], currentRequest[1])
    orderFromDistributor = distributor(inventory[1], backlog[1], currentRequest[2])
    orderFromWholesaler = wholesaler(inventory[2], backlog[2], currentRequest[3])
    orderFromRetailer = retailer(inventory[3], backlog[3], currentRequest[4])
    
    newRequest = [None for _ in range(4)]
    newRequest[0] = orderFromFactory
    newRequest[1] = orderFromDistributor
    newRequest[2] = orderFromWholesaler
    newRequest[3] = orderFromRetailer
    
    return inventory, backlog, newRequest, sentBeer, delivered, score


k = 52
customerRequests = []
for _ in range(k):
    customerRequests.append(random.randint(2, 10))


#start the game
B = beerGameTurn(factory, distributor, wholesaler, retailer,
                 inventory = [12, 12, 12, 12],
                 backlog = [0, 0, 0, 0],
                 
                 currentRequest = [4, 4, 4, 4],
                 
                 sentBeer = [4, 4, 4, 4],
                 delivered  = [4, 4, 4, 4],
                 
                 score = [0, 0, 0, 0],
                 customerRequest = customerRequests[0])

for i in range(1, k):
    B = beerGameTurn(factory, distributor, wholesaler, retailer,
                     inventory = B[0],
                     backlog = B[1],
                     currentRequest = B[2],
                     sentBeer = B[3],
                     delivered = B[4],
                     score = B[5],
                     customerRequest = customerRequests[i])


print(B[5])