import time
time.clock()

def search(limit, count):
    l = [1, 1]
    tale = 0
    while len(l) < count + 2:
        tale += len(list(filter(lambda x: x > limit - 1, l)))
        l = list(map(lambda x: x[0] + x[1], zip(l + [0], [0] + l)))
    return tale

print(search(1000000, 100))
print(time.clock())