import OAI.Combinatorics.ContingencyTables.FactorialLift
import OAI.Combinatorics.ContingencyTables.UnconditionalMain
/-!
# Sampling and counting contingency tables

Almost-uniform sampling has polynomial cost on every execution, while
exact uniform sampling has polynomial expected bit cost. Cell-bounded
counting admits a fully polynomial randomized approximation scheme,
including structural zeros and infeasible inputs. The finite-box
Prékopa–Leindler inequality, finite Cheeger inequality and shortest
augmenting path bound supply the analytic and feasibility estimates.
-/