from buckets import fill_buckets from sympy import init_printing from solvers import * import warnings warnings.filterwarnings('ignore') init_printing()

# returns a length-(n+1) array <sizes>, where sizes[i] represents # the expected number of sequences which do not park at spot i=0,...,n. n = 3 fill_buckets(n, "pmf")

# returns a length-n array <sizes>, where sizes[i] represents # the expected number of sequences which bump i=0,...,n-1 times n = 3 fill_buckets(n, "bumps")

recurrence(4)

print_polynomial(4)

sums_of_products(4)

balls_bins(3)