import fileinput
import numpy
from matplotlib import pyplot
from pprint import pprint

PADDING = (16, 256)
SIM_GENS = 150
EXTRAPOLATE_GENS = -SIM_GENS + 50000000000

def convert(line):
    return numpy.array([True if x == "#" else False for x in line])

inp = fileinput.input()

# Read the initial state
pots = convert(next(inp).split()[-1])
next(inp)

rules = {}
for line in inp:
    x, y = [convert(s) for s in line.split(" => ")]
    rules[tuple(x)] = y[0]

output = numpy.zeros((SIM_GENS + 1, len(pots) + PADDING[0] + PADDING[1]), dtype=bool)
output[0] = numpy.pad(pots, (PADDING[0], PADDING[1]), "constant")

for y in range(SIM_GENS):
    for i in range(output.shape[1] - 2):
        key = tuple(output[y, i:i+5])
        output[y + 1][i + 2] = rules.get(key, 0)

numbers = numpy.arange(-PADDING[0], pots.shape[0] + PADDING[1])

sum_a = numbers[output[-2]].sum()
sum_b = numbers[output[-1]].sum()
delta = sum_b - sum_a
print(EXTRAPOLATE_GENS * delta + sum_b)

pyplot.gray()
pyplot.imshow(1 - output)
pyplot.show()