overlapping bars.jl

### A Pluto.jl notebook ###
# v0.11.14

using Markdown
using InteractiveUtils

# ╔═╡ a2f60fe4-0495-11eb-27f6-ff7a5231c073
begin
	import Pkg
	Pkg.activate(mktempdir())
	Pkg.add([
			Pkg.PackageSpec(name="GR", version=v"0.52.0"),
			Pkg.PackageSpec(name="Plots", version=v"1.6.8"),
		])
	using Plots
end

# ╔═╡ b00a4b1e-0495-11eb-3f4c-595d8b3a8dbc
experiment_1 = [0, 5, 0, 0, 2, 0, 4, 11, 0, 6, 1, 5, 0, 0, 0, 0, 0, 3, 3, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 3, 1, 2, 5, 2, 8, 8, 9, 3, 4, 2, 5, 3, 7, 1, 1, 4, 0, 3, 5, 9, 1, 2, 0, 7, 3, 0, 1, 0, 3, 0, 5, 4, 1, 1, 3, 5, 1, 1, 3, 0, 0, 4, 4, 5, 5, 2, 0, 10, 4, 0, 2, 2, 4, 0, 30, 1, 1, 4, 0, 1, 1, 0, 9, 6, 2, 2, 0, 10, 12, 3, 0, 6, 4, 7, 0, 2, 5, 0, 2, 3, 9, 0, 0, 1, 0, 0, 3, 0, 3, 2, 0, 4, 0, 1, 0, 2, 4, 0, 0, 1, 4, 0, 6, 1, 2, 2, 0, 0, 2, 4, 1, 1, 11, 1, 3, 1, 3, 5, 4, 0, 1, 3, 4, 2, 7, 0, 0, 4, 5, 0, 7, 2, 0, 1, 2, 3, 0, 4, 1, 2, 0, 7, 1, 4, 5, 1, 16, 0, 0, 11, 1, 0, 0, 2, 12, 2, 4, 2, 0, 0, 5, 4, 3, 3, 4, 0, 4, 3, 0, 0, 4, 1, 0, 0, 1, 0, 0, 2, 10, 1, 0, 0, 2, 2, 1, 0, 1, 4, 5, 21, 0, 0, 4, 1, 4, 2, 2, 1, 2, 0, 1, 0, 4, 0, 4, 3, 6, 1, 2, 4, 0, 5, 0, 1, 5, 5, 7, 2, 9, 3, 0, 0, 4, 0, 3, 6, 7, 0, 9, 6, 4, 11, 0, 3, 0, 1, 1, 3, 0, 0, 1, 6, 0, 2, 2, 0, 0, 5, 1, 1, 1, 11, 0, 2, 6, 0, 0, 3, 3, 3, 3, 2, 2, 0, 1, 0, 6, 0, 4, 3, 1, 1, 3, 0, 1, 0, 1, 3, 15, 9, 5, 0, 1, 1, 2, 22, 1, 0, 0, 2, 0, 6, 2, 8, 8, 4, 5, 9, 3, 2, 11, 6, 0, 1, 0, 14, 6, 1, 0, 3, 7, 0, 3, 6, 7, 0, 5, 1, 0, 9, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 3, 0, 1, 0, 0, 1, 2, 6, 7, 0, 20, 3, 6, 0, 3, 0, 7, 1, 9, 7, 2, 1, 1, 3, 7, 2, 8, 15, 5, 7, 5, 7, 4, 2, 0, 3, 0, 1, 4, 2, 6, 0, 2, 0, 0, 3, 6, 1, 3, 3, 9, 0, 4, 0, 7, 23, 1, 0, 0, 0, 2, 0, 2, 10, 2, 1, 9, 1, 3, 6, 3, 0, 0, 4, 0, 3, 1, 7, 4, 0, 0, 1, 3, 3, 3, 4, 10, 1, 0, 1, 10, 19, 13, 1, 0, 2, 5, 0, 0, 1, 4, 1, 2, 1, 2, 2, 15, 7, 0, 11, 4, 0, 7, 2, 0, 0, 14, 8, 6, 9, 11, 3, 5, 6, 6, 0, 0, 3, 1, 3, 9, 4, 1, 6, 2, 0, 8, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 3, 15, 7, 2, 1, 2, 5, 6, 0, 8, 0, 0, 0, 5, 1, 1, 1, 10, 3, 4, 1, 5, 0, 3, 0, 1, 6, 3, 8, 3, 1, 1, 3, 0, 1, 1, 1, 0, 2, 9, 0, 1, 0, 3, 5, 2, 2, 3, 3, 2, 1, 5, 0, 0, 3, 1, 9, 6, 1, 0, 10, 0, 3, 3, 7, 7, 5, 5, 0, 11, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 6, 0, 1, 1, 3, 7, 2, 1, 1, 1, 3, 0, 0, 2, 3, 4, 0, 0, 3, 1, 1, 0, 0, 0, 1, 6, 0, 1, 0, 7, 1, 1, 1, 2, 9, 12, 8, 1, 0, 2, 6, 0, 3, 7, 2, 1, 0, 0, 2, 2, 0, 0, 12, 2, 0, 1, 3, 2, 6, 3, 1, 7, 7, 4, 2, 1, 2, 1, 3, 1, 14, 4, 3, 3, 2, 0, 0, 3, 1, 0, 9, 4, 3, 2, 7, 2, 2, 2, 6, 0, 0, 2, 0, 1, 5, 2, 10, 0, 1, 0, 10, 7, 1, 7, 1, 0, 0, 4, 0, 3, 0, 3, 1, 8, 4, 0, 5, 5, 0, 6, 4, 0, 8, 1, 5, 6, 1, 0, 6, 0, 1, 2, 0, 2, 1, 3, 2, 6, 4, 4, 4, 0, 0, 1, 0, 5, 0, 2, 0, 3, 1, 0, 7, 1, 0, 0, 1, 1, 0, 6, 0, 0, 0, 7, 9, 0, 4, 1, 5, 6, 1, 4, 3, 0, 1, 4, 4, 7, 0, 1, 5, 4, 2, 2, 1, 5, 5, 0, 0, 5, 2, 2, 3, 2, 6, 3, 1, 3, 6, 1, 0, 0, 0, 0, 0, 0, 8, 4, 6, 6, 5, 3, 4, 2, 8, 2, 0, 2, 3, 0, 0, 0, 1, 4, 0, 0, 2, 1, 5, 2, 5, 0, 0, 1, 5, 3, 2, 1, 3, 2, 12, 0, 5, 3, 0, 0, 6, 2, 1, 0, 3, 2, 0, 5, 4, 2, 2, 3, 2, 11, 7, 4, 0, 1, 10, 1, 1, 6, 0, 0, 2, 7, 0, 1, 3, 0, 5, 0, 0, 0, 0, 2, 0, 0, 3, 3, 1, 8, 4, 21, 1, 0, 0, 1, 0, 0, 6, 1, 0, 1, 2, 1, 1, 4, 8, 5, 5, 2, 0, 0, 3, 2, 0, 0, 2, 6, 1, 4, 2, 3, 2, 5, 4, 0, 4, 3, 10, 0, 1, 3, 0, 4, 0, 0, 6, 8, 1, 2, 0, 5, 2, 0, 4, 0, 9, 0, 3, 1, 1, 0, 2, 0, 0, 1, 14, 3, 2, 4, 0, 5, 0, 6, 2, 15, 1, 0, 1, 2, 0, 2, 0, 0, 6, 2, 2, 2, 1, 1, 0, 3, 2, 2, 2, 1, 4, 1, 1, 0, 1, 6, 0, 6, 1, 16, 12, 0, 6, 1, 3, 8, 0, 2, 2, 3, 0, 4, 1, 4, 6, 2, 9, 2, 5, 8, 6, 1, 1, 0, 3, 3, 0, 4, 0, 1, 2, 0, 0, 7, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 6, 8, 5, 5, 11, 2, 1, 1, 0, 17, 3, 3, 3, 7, 0, 2, 7, 0, 8, 6, 9, 0, 5, 1, 0, 1, 2, 2, 4, 10, 0, 0, 3, 1, 1, 8, 4, 5, 0, 3, 0, 1, 6, 2, 1, 6, 0, 0, 0, 1, 0, 0, 1, 2, 6, 1, 2, 6, 0, 2, 1, 11, 17, 0, 0, 1, 1, 0, 1, 4, 18, 0, 0, 2, 3, 0, 0, 9, 1, 4, 1, 0, 6, 0, 4, 1, 0, 7, 9, 4, 2, 4, 8, 0, 1, 0, 1, 2, 3, 5, 3, 2, 0, 8, 4, 4, 11, 0, 2, 5, 3, 1, 11, 7, 0, 3, 3, 2, 9, 7, 10, 0, 3, 5, 0, 1, 13, 11, 10, 0, 14, 6, 0, 9, 2, 8, 8, 0, 9, 0, 1, 1, 1, 8, 1, 0, 3, 3, 9, 0, 4, 5, 1, 1, 5, 0, 5, 2, 1, 3, 6, 1, 7, 3, 9, 3, 8, 3, 1, 10, 18, 1, 0, 0, 10, 4, 1, 2, 5, 1, 1, 5, 4, 0, 4, 0, 3, 1, 5, 7, 3, 0, 4, 2, 3, 0, 3, 1, 0, 3, 3, 5, 3, 0, 0, 7, 8, 10, 3, 4, 0, 3, 5, 4, 2, 9, 1, 1, 0, 3, 1, 2, 4, 4, 6, 4, 0, 1, 5, 3, 3, 2, 0, 2, 2, 0, 0, 0, 4, 2, 1, 2, 8, 0, 0, 17, 4, 0, 5, 0, 2, 0, 0, 5, 1, 2, 1, 2, 1, 0, 0, 1, 0, 14, 5, 7, 4, 5, 9, 2, 2, 1, 0, 4, 0, 0, 1, 1, 3, 1, 6, 4, 1, 0, 3, 12, 0, 1, 0, 1, 3, 2, 8, 1, 7, 4, 8, 4, 12, 4, 3, 8, 1, 1, 1, 1, 11, 4, 0, 3, 17, 3, 4, 19, 4, 2, 0, 2, 3, 1, 7, 0, 1, 0, 10, 2, 0, 3, 0, 1, 3, 0, 5, 1, 5, 2, 16, 2, 2, 6, 0, 7, 5, 4, 3, 11, 0, 2, 4, 0, 4, 0, 5, 5, 6, 1, 0, 0, 0, 2, 2, 13, 1, 2, 0, 0, 16, 3, 1, 0, 3, 0, 5, 0, 0, 1, 0, 0, 7, 0, 1, 0, 10, 1, 3, 5, 0, 0, 0, 2, 4, 6, 1, 7, 1, 0, 1, 2, 4, 2, 1, 0, 1, 0, 3, 3, 5, 0, 5, 1, 3, 6, 0, 2, 2, 0, 0, 5, 0, 4, 6, 2, 3, 2, 0, 3, 5, 4, 5, 3, 2, 3, 1, 3, 1, 2, 0, 3, 2, 2, 0, 2, 6, 2, 1, 8, 3, 0, 4, 4, 3, 9, 0, 2, 1, 6, 1, 1, 2, 9, 1, 1, 0, 1, 4, 5, 0, 5, 4, 1, 1, 5, 8, 1, 0, 1, 1, 2, 8, 2, 0, 0, 4, 0, 0, 3, 4, 4, 2, 1, 1, 3, 5, 4, 1, 7, 7, 1, 1, 2, 6, 0, 3, 0, 2, 1, 8, 4, 3, 0, 0, 1, 5, 2, 0, 2, 2, 1, 2, 3, 4, 1, 5, 3, 0, 1, 4, 3, 4, 0, 0, 1, 0, 0, 7, 4, 0, 0, 4, 0, 1, 0, 1, 6, 6, 2, 2, 3, 2, 5, 2, 4, 5, 3, 3, 0, 22, 1, 1, 0, 1, 1, 19, 2, 4, 3, 1, 3, 0, 11, 1, 1, 4, 0, 3, 0, 4, 12, 0, 0, 1, 4, 0, 10, 5, 1, 1, 0, 8, 2, 0, 6, 5, 3, 1, 1, 2, 2, 5, 4, 4, 1, 3, 1, 1, 2, 2, 0, 0, 0, 2, 3, 1, 2, 9, 1, 1, 3, 0, 0, 1, 3, 6, 0, 3, 0, 7, 2, 0, 5, 7, 0, 4, 2, 6, 0, 2, 0, 0, 2, 0, 1, 0, 8, 8, 4, 2, 3, 2, 3, 3, 2, 2, 3, 0, 3, 0, 2, 2, 1, 4, 1, 3, 2, 2, 6, 2, 3, 2, 3, 1, 5, 0, 1, 1, 0, 1, 0, 6, 2, 3, 0, 4, 2, 2, 9, 1, 1, 0, 2, 4, 6, 1, 3, 8, 3, 1, 3, 5, 0, 1, 18, 1, 2, 3, 1, 5, 5, 5, 6, 3, 7, 2, 3, 6, 3, 0, 1, 2, 1, 8, 6, 0, 4, 0, 1, 0, 4, 2, 2, 6, 11, 0, 2, 5, 0, 8, 0, 4, 0, 2, 2, 0, 4, 2, 18, 0, 8, 4, 0, 6, 0, 6, 0, 0, 4, 3, 0, 0, 7, 4, 5, 1, 8, 5, 2, 8, 22, 12, 1, 0, 6, 4, 0, 8, 9, 11, 0, 1, 3, 7, 1, 0, 4, 5, 13, 1, 3, 8, 2, 0, 2, 0, 4, 1, 0, 0, 3, 0, 2, 2, 3, 4, 0, 16, 1, 4, 11, 5, 4, 1, 1, 9, 0, 6, 1, 5, 1, 15, 0, 2, 20, 3, 3, 6, 29, 1, 8, 3, 7, 5, 0, 5, 7, 10, 4, 4, 1, 6, 0, 0, 0, 1, 1, 0, 0, 3, 11, 2, 3, 2, 0, 4, 0, 11, 0, 3, 1, 3, 4, 3, 1, 3, 0, 1, 3, 1, 2, 0, 5, 2, 7, 0, 3, 12, 4, 1, 2, 3, 11, 1, 2, 1, 1, 5, 4, 3, 3, 0, 3, 2, 0, 6, 0, 12, 0, 2, 1, 1, 0, 6, 0, 0, 4, 3, 3, 1, 5, 0, 1, 5, 0, 7, 2, 8, 16, 4, 9, 0, 0, 1, 1, 9, 0, 0, 2, 0, 1, 3, 4, 1, 0, 2, 3, 2, 3, 2, 6, 3, 4, 0, 0, 4, 1, 0, 0, 1, 1, 3, 3, 4, 1, 0, 0, 0, 3, 1, 0, 6, 0, 2, 2, 3, 6, 13, 2, 1, 0, 1, 8, 3, 2, 13, 0, 8, 1, 0, 1, 1, 1, 1, 6, 1, 1, 1, 0, 1, 6, 2, 6, 4, 2, 0, 4, 2, 4, 3, 5, 0, 1, 0, 3, 0, 0, 4, 1, 2, 5, 5, 3, 9, 2, 3, 2, 1, 1, 2, 5, 3, 0, 5, 0, 0, 6, 1, 0, 4, 3, 1, 5, 9, 0, 0, 2, 7, 0, 3, 0, 5, 0, 7, 2, 3, 6, 5, 2, 7, 0, 1, 1, 2, 1, 0, 0, 5, 4, 0, 3, 5, 3, 0, 3, 2, 5, 1, 1, 2, 9, 2, 3, 10, 7, 1, 4, 0, 0, 5, 3, 1, 2, 1, 1, 2, 7, 4, 9, 5, 1, 0, 2, 10, 0, 0, 2, 4, 7, 3, 2, 2, 7, 3, 4, 11, 3, 1, 0, 10, 2, 1, 1, 1, 5, 5, 1, 6, 1, 5, 3, 12, 0, 1, 1, 0, 4, 1, 10, 3, 1, 0, 0, 0, 4, 0, 1, 7, 9, 0, 6, 18, 2, 4, 5, 0, 3, 0, 4, 9, 2, 1, 5, 0, 2, 3, 1, 7, 7, 9, 1, 0, 3, 1, 3, 0, 0, 1, 11, 3, 2, 1, 0, 2, 3, 2, 4, 0, 2, 0, 2, 11, 0, 0, 5, 9, 7, 0, 12, 2, 5, 4, 5, 6, 0, 1, 3, 7, 0, 1, 0, 4, 0, 1, 1, 1, 4, 0, 0, 1, 1, 6, 9, 1, 3, 7, 1, 0, 3, 11, 1, 0, 0, 2, 2, 1, 1, 3, 0, 4, 0, 2, 2, 2, 6, 2, 2, 3, 0, 4, 1, 0, 4, 0, 6, 2, 5, 1, 1, 8, 7, 0, 9, 1, 1, 0, 0, 2, 0, 2, 7, 3, 13, 0, 1, 3, 0, 0, 0, 3, 2, 0, 3, 6, 5, 7, 5, 4, 2, 2, 6, 0, 1, 3, 2, 3, 3, 4, 7, 4, 0, 2, 1, 7, 10, 15, 10, 0, 6, 0, 0, 0, 10, 3, 1, 3, 3, 8, 4, 0, 0, 0, 5, 4, 1, 0, 2, 2, 0, 3, 0, 3, 2, 1, 5, 0, 2, 4, 2, 1, 0, 3, 2, 1, 0, 0, 3, 1, 2, 0, 4, 1, 0, 12, 1, 1, 4, 2, 11, 0, 2, 2, 2, 1, 1, 3, 0, 5, 1, 1, 3, 1, 5, 0, 0, 3, 2, 12, 1, 5, 3, 2, 0, 0, 2, 2, 3, 3, 1, 11, 3, 3, 3, 1, 1, 2, 1, 0, 5, 10, 0, 1, 5, 3, 0, 1, 0, 4, 5, 3, 1, 8, 2, 2, 0, 1, 0, 7, 1, 8, 0, 0, 1, 2, 8, 1, 5, 0, 1, 2, 3, 0, 8, 15, 1, 1, 18, 1, 2, 0, 2, 0, 1, 6, 2, 5, 3, 2, 11, 2, 4, 5, 1, 4, 6, 3, 0, 7, 4, 1, 13, 0, 3, 8, 1, 4, 0, 1, 1, 4, 0, 2, 9, 5, 4, 0, 6, 7, 0, 1, 4, 2, 0, 0, 2, 1, 6, 1, 0, 0, 3, 4, 14, 7, 5, 3, 14, 1, 3, 2, 7, 4, 3, 3, 5, 0, 4, 0, 3, 1, 5, 1, 7, 2, 1, 3, 1, 0, 9, 4, 0, 1, 5, 3, 6, 0, 0, 3, 4, 2, 1, 3, 0, 5, 0, 8, 4, 5, 11, 6, 8, 1, 1, 0, 10, 6, 2, 2, 1, 3, 0, 1, 4, 3, 1, 0, 1, 1, 1, 5, 0, 3, 2, 5, 0, 1, 2, 3, 19, 1, 1, 1, 0, 0, 6, 0, 3, 0, 0, 1, 0, 2, 4, 3, 8, 1, 0, 5, 8, 8, 4, 12, 1, 4, 0, 6, 6, 0, 2, 6, 1, 4, 2, 3, 3, 0, 3, 10, 0, 3, 0, 6, 1, 0, 0, 8, 2, 0, 2, 0, 0, 2, 3, 0, 1, 6, 2, 0, 0, 2, 4, 0, 5, 6, 1, 5, 1, 0, 3, 0, 0, 2, 0, 1, 0, 0, 2, 2, 3, 6, 1, 1, 1, 1, 5, 6, 4, 1, 0, 3, 1, 2, 2, 2, 0, 0, 0, 0, 9, 1, 9, 0, 5, 1, 2, 6, 0, 3, 0, 2, 2, 2, 2, 1, 19, 11, 5, 1, 0, 0, 0, 6, 2, 3, 1, 3, 1, 2, 1, 0, 0, 0, 3, 1, 0, 3, 12, 2, 3, 10, 0, 1, 0, 6, 10, 2, 5, 0, 17, 2, 9, 14, 2, 9, 10, 10, 1, 3, 6, 1, 2, 6, 1, 1, 0, 0, 2, 3, 3, 4, 2, 0, 4, 6, 3, 3, 1, 2, 0, 0, 4, 12, 8, 0, 0, 0, 4, 2, 3, 2, 8, 9, 1, 5, 6, 25, 0, 0, 4, 5, 0, 1, 8, 0, 5, 0, 3, 2, 6, 3, 1, 1, 5, 3, 13, 0, 3, 0, 2, 1, 3, 0, 1, 0, 5, 1, 6, 6, 10, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 9, 3, 4, 0, 7, 4, 0, 6, 3, 0, 0, 0, 5, 15, 1, 5, 0, 4, 0, 5, 2, 1, 0, 3, 8, 0, 0, 9, 3, 1, 1, 8, 7, 1, 1, 8, 0, 0, 2, 5, 6, 2, 8, 4, 2, 5, 0, 0, 2, 0, 5, 1, 4, 1, 0, 0, 13, 1, 3, 0, 0, 13, 0, 10, 0, 2, 1, 7, 0, 4, 8, 0, 1, 11, 0, 3, 1, 5, 4, 5, 6, 1, 0, 2, 18, 0, 1, 0, 3, 13, 0, 2, 2, 3, 0, 1, 2, 2, 5, 4, 1, 4, 4, 5, 1, 0, 7, 4, 0, 3, 1, 0, 3, 0, 5, 5, 2, 1, 9, 0, 0, 1, 9, 0, 4, 0, 7, 1, 1, 9, 7, 4, 1, 1, 1, 1, 1, 0, 2, 1, 4, 2, 1, 2, 4, 3, 5, 5, 0, 1, 4, 1, 4, 0, 3, 1, 3, 2, 0, 0, 1, 9, 1, 16, 4, 1, 0, 3, 9, 1, 0, 0, 0, 2, 15, 3, 7, 2, 0, 1, 0, 0, 2, 2, 5, 5, 4, 1, 6, 11, 3, 7, 0, 1, 1, 3, 7, 1, 5, 9, 1, 4, 12, 1, 0, 0, 5, 2, 5, 2, 6, 0, 6, 0, 5, 7, 1, 0, 0, 6, 3, 0, 0, 0, 1, 1, 1, 0, 6, 16, 1, 11, 0, 1, 1, 3, 11, 0, 0, 3, 1, 1, 0, 1, 1, 0, 6, 11, 1, 2, 0, 2, 0, 6, 3, 0, 2, 6, 1, 1, 1, 16, 1, 2, 0, 3, 6, 0, 2, 24, 2, 2, 8, 0, 4, 0, 10, 4, 4, 3, 0, 2, 0, 0, 0, 0, 2, 8, 4, 3, 4, 1, 5, 3, 1, 0, 5, 3, 0, 1, 1, 2, 7, 2, 2, 5, 0, 2, 1, 0, 4, 0, 2, 3, 0, 1, 2, 1, 0, 2, 0, 3, 7, 0, 1, 0, 1, 2, 9, 1, 3, 3, 10, 10, 7, 0, 3, 1, 4, 0, 2, 2, 8, 1, 11, 5, 3, 1, 7, 3, 19, 0, 6, 5, 13, 5, 4, 5, 0, 3, 2, 1, 0, 4, 12, 6, 0, 2, 8, 8, 2, 6, 2, 1, 0, 0, 7, 0, 0, 5, 0, 2, 11, 0, 0, 2, 5, 4, 1, 0, 5, 2, 2, 1, 0, 6, 6, 2, 4, 0, 1, 3, 0, 0, 3, 8, 5, 6, 0, 3, 9, 2, 4, 0, 4, 9, 0, 2, 0, 6, 0, 6, 9, 4, 5, 1, 0, 1, 6, 7, 3, 0, 1, 0, 18, 2, 4, 5, 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4, 2, 8, 2, 0, 1, 6, 0, 4, 12, 2, 1, 9, 4, 1, 4, 6, 1, 2, 14, 8, 1, 5, 2, 2, 3, 0, 5, 0, 4, 2, 12, 3, 4, 2, 1, 2, 3, 1, 0, 6, 0, 0, 6, 7, 1, 0, 5, 4, 1, 6, 5, 1, 1, 10, 1, 3, 3, 12, 2, 1, 1, 5, 0, 0, 10, 8, 1, 0, 3, 4, 5, 6, 4, 0, 8, 14, 1, 5, 0, 2, 1, 0, 2, 0, 4, 1, 0, 2, 0, 0, 5, 4, 2, 0, 16, 20, 0, 2, 0, 0, 0, 2, 4, 1, 5, 0, 1, 2, 2, 1, 0, 2, 7, 5, 5, 0, 2, 0, 4, 0, 2, 0, 1, 1, 0, 6, 2, 5, 3, 2, 7, 1, 8, 1, 5, 3, 2, 0, 2, 8, 12, 2, 3, 1, 0, 1, 11, 12, 0, 0, 3, 18, 1, 2, 3, 0, 2, 9, 0, 4, 1, 0, 1, 2, 2, 1, 2, 2, 1, 11, 0, 1, 4, 0, 1, 4, 5, 5, 16, 9, 10, 2, 4, 0, 5, 2, 2, 0, 0, 1, 2, 0, 19, 12, 0, 3, 1, 1, 0, 0, 1, 10, 0, 6, 0, 6, 0, 1, 3, 6, 5, 8, 2, 2, 3, 1, 4, 2, 1, 4, 5, 12, 7, 0, 0, 6, 5, 10, 0, 0, 4, 10, 2, 2, 3, 3, 0, 0, 0, 2, 0, 4, 0, 0, 20, 0, 13, 0, 0, 1, 2, 0, 0, 3, 1, 0, 5, 0, 0, 9, 0, 3, 8, 1, 1, 1, 1, 4, 2, 3, 1, 1, 1, 0, 0, 2, 4, 5, 3, 0, 6, 1, 8, 0, 0, 2, 5, 9, 1, 0, 3, 1, 5, 0, 1, 9, 8, 0, 0, 0, 4, 0, 5, 7, 1, 3, 0, 2, 2, 2, 0, 7, 1, 6, 2, 7, 0, 2, 2, 3, 5, 1, 5, 3, 0, 1, 2, 1, 3, 4, 0, 1, 2, 0, 3, 4, 7, 2, 1, 0, 5, 9, 7, 9, 1, 3, 3, 8, 1, 13, 4, 1, 2, 2, 5, 3, 11, 0, 2, 3, 0, 4, 0, 0, 3, 7, 0, 9, 1, 0, 6, 15, 11, 0, 0, 8, 2, 3, 0, 0, 1, 0, 2, 5, 7, 1, 1, 0, 1, 3, 2, 1, 8, 3, 0, 1, 0, 0, 7, 1, 6, 1, 10, 0, 2, 0, 4, 4, 1, 0, 6, 0, 4, 1, 0, 3, 4, 9, 0, 0, 1, 4, 1, 5, 6, 3, 3, 4, 4, 4, 3, 4, 0, 9, 1, 5, 1, 3, 1, 1, 3, 1, 13, 0, 0, 3, 3, 5, 1, 3, 2, 0, 0, 0, 0, 2, 9, 1, 0, 1, 0, 4, 4, 0, 1, 6, 0, 2, 1, 6, 1, 2, 1, 7, 1, 3, 0, 3, 4, 0, 0, 0, 4, 0, 0, 2, 3, 6, 1, 4, 0, 2, 0, 2, 0, 4, 1, 0, 0, 2, 0, 6, 0, 0, 1, 5, 2, 1, 1, 4, 4, 6, 2, 0, 0, 2, 5, 1, 0, 4, 0, 2, 4, 0, 3, 4, 2, 0, 2, 3, 6, 3, 3, 20, 2, 2, 1, 5, 0, 0, 1, 1, 0, 10, 0, 0, 1, 2, 3, 1, 0, 11, 5, 1, 0, 0, 8, 7, 3, 0, 0, 0, 3, 1, 3, 2, 0, 2, 1, 0, 2, 4, 2, 2, 2, 7, 4, 17, 2, 0, 0, 1, 4, 3, 7, 3, 15, 6, 0, 1, 1, 4, 1, 4, 0, 3, 0, 1, 7, 9, 6, 8, 5, 1, 7, 2, 0, 7, 0, 1, 0, 0, 2, 0, 7, 4, 6, 0, 2, 0, 0, 11, 0, 2, 0, 1, 5, 4, 2, 5, 1, 7, 0, 4, 15, 0, 3, 4, 6, 2, 16, 1, 3, 4, 2, 8, 1, 1, 1, 2, 0, 3, 5, 1, 2, 1, 12, 4, 1, 5, 2, 0, 0, 6, 0, 0, 9, 0, 0, 0, 1, 4, 6, 6, 2, 5, 15, 0, 1, 1, 0, 0, 0, 3, 3, 13, 3, 6, 6, 5, 1, 4, 1, 0, 0, 3, 4, 3, 1, 2, 5, 3, 4, 3, 0, 5, 2, 13, 1, 2, 2, 5, 5, 3, 6, 12, 1, 8, 4, 0, 0, 0, 10, 1, 0, 4, 0, 3, 2, 1, 5, 5, 0, 0, 6, 5, 4, 1, 0, 8, 1, 2, 1, 7, 3, 3, 3, 5, 2, 1, 2, 2, 5, 7, 0, 4, 3, 5, 5, 3, 1, 0, 11, 0, 0, 0, 3, 3, 4, 1, 0, 0, 1, 3, 5, 4, 0, 1, 2, 10, 0, 1, 7, 0, 4, 1, 1, 3, 4, 0, 1, 0, 1, 1, 0, 0, 4, 2, 0, 11, 0, 0, 3, 3, 1, 1, 5, 3, 1, 2, 4, 0, 0, 1, 1, 0, 11, 0, 4, 0, 4, 0, 4, 14, 0, 6, 2, 0, 4, 7, 1, 4, 6, 6, 0, 0, 13, 3, 4, 1, 2, 0, 7, 3, 3, 2, 1, 5, 0, 3, 1, 1, 1, 1, 5, 0, 0, 1, 2, 15, 8, 0, 4, 0, 0, 7, 0, 0, 11, 3, 3, 0, 0, 7, 3, 0, 0, 6, 1, 0, 0, 4, 6, 1, 0, 0, 4, 0, 2, 0, 6, 2, 2, 3, 1, 2, 0, 6, 0, 0, 5, 6, 3, 0, 10, 1, 1, 3, 0, 2, 0, 3, 9, 0, 0, 2, 15, 1, 1, 1, 3, 0, 3, 1, 2, 6, 8, 1, 0, 2, 1, 0, 11, 2, 3, 3, 2, 0, 2, 0, 5, 0, 3, 10, 2, 2, 1, 1, 3, 0, 1, 3, 6, 0, 7, 15, 0, 3, 2, 0, 19, 4, 1, 10, 10, 0, 0, 5, 2, 6, 23, 2, 1, 3, 15, 2, 2, 4, 7, 0, 6, 3, 2, 9, 8, 3, 0, 0, 2, 6, 1, 2, 5, 2, 2, 5, 0, 8, 2, 2, 9, 0, 1, 0, 2, 2, 0, 0, 1, 10, 10, 0, 27, 7, 7, 0, 0, 0, 0, 3, 5, 2, 3, 1, 4, 2, 5, 1, 1, 5, 7, 3, 2, 1, 0, 3, 6, 0, 0, 0, 17, 11, 5, 6, 5, 3, 2, 1, 2, 1, 0, 3, 3, 2, 0, 8, 0, 4, 0, 2, 15, 16, 2, 3, 9, 0, 3, 1, 0, 2, 13, 1, 2, 1, 0, 7, 7, 1, 9, 2, 6, 1, 0, 1, 0, 0, 12, 3, 10, 6, 1, 0, 1, 8, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 4, 4, 2, 0, 0, 9, 0, 3, 2, 2, 1, 4, 0, 2, 5, 4, 1, 1, 2, 0, 2, 3, 6, 1, 5, 0, 1, 1, 2, 0, 1, 6, 2, 4, 1, 2, 0, 9, 0, 1, 4, 5, 2, 2, 1, 0, 3, 1, 7, 1, 0, 3, 1, 0, 2, 6, 4, 2, 2, 2, 0, 2, 5, 7, 9, 0, 4, 1, 2, 2, 1, 6, 9, 6, 26, 0, 3, 0, 1, 8, 1, 1, 1, 0, 0, 2, 4, 2, 3, 0, 5, 1, 10, 1, 0, 6, 0, 1, 1, 0, 0, 1, 7, 1, 0, 7, 2, 1, 16, 0, 2, 11, 12, 0, 2, 4, 0, 2, 3, 0, 2, 2, 8, 0, 7, 7, 0, 3, 7, 0, 0, 3, 3, 3, 6, 4, 2, 4, 0, 11, 2, 1, 2, 5, 1, 2, 2, 17, 0, 11, 2, 11, 6, 2, 1, 3, 0, 1, 1, 3, 0, 0, 2, 0, 2, 5, 1, 0, 0, 1, 1, 1, 5, 0, 0, 3, 4, 2, 0, 4, 6, 1, 2, 1, 4, 4, 0, 2, 3, 23, 3, 4, 1, 0, 0, 1, 3, 7, 3, 6, 0, 4, 3, 1, 2, 7, 6, 3, 6, 1, 0, 14, 3, 1, 2, 2, 1, 2, 0, 7, 0, 6, 0, 1, 1, 0, 0, 5, 0, 3, 2, 5, 2, 15, 2, 0, 2, 2, 2, 0, 4, 2, 0, 0, 7, 0, 3, 3, 0, 4, 6, 12, 2, 13, 0, 1, 3, 2, 0, 0, 0, 0, 1, 3, 0, 3, 4, 11, 2, 0, 1, 0, 5, 0, 2, 0, 0, 2, 1, 0, 12, 0, 1, 2, 3, 4, 0, 12, 1, 0, 0, 0, 19, 0, 2, 2, 0, 2, 0, 2, 6, 4, 4, 6, 1, 5, 6, 3, 5, 1, 4, 13, 2, 0, 3, 2, 0, 4, 10, 8, 0, 1, 9, 1, 3, 1, 0, 1, 3, 9, 3, 7, 3, 3, 1, 1, 0, 1, 2, 2, 3, 0, 2, 4, 0, 1, 5, 3, 0, 3, 2, 10, 3, 1, 3, 2, 0, 8, 1, 3, 3, 3, 4, 0, 0, 1, 3, 4, 4, 0, 0, 1, 3, 4, 1, 1, 2, 1, 11, 2, 5, 2, 7, 3, 1, 1, 0, 6, 5, 3, 0, 8, 5, 8, 0, 3, 0, 3, 5, 2, 1, 0, 0, 1, 1, 2, 4, 3, 0, 0, 0, 0, 2, 0, 3, 3, 3, 2, 4, 1, 0, 0, 4, 3, 3, 7, 1, 1, 0, 8, 0, 5, 1, 7, 2, 14, 1, 1, 4, 2, 5, 0, 0, 6, 0, 6, 0, 4, 2, 6, 0, 0, 3, 0, 0, 0, 6, 3, 0, 3, 1, 5, 1, 1, 1, 4, 0, 3, 3, 4, 7, 0, 0, 6, 2, 0, 9, 0, 0, 5, 5, 1, 0, 1, 3, 0, 1, 6, 6, 2, 1, 1, 2, 3, 1, 5, 1, 0, 1, 0, 4, 0, 1, 1, 0, 6, 0, 9, 11, 0, 13, 4, 1, 0, 1, 3, 2, 1, 0, 2, 3, 0, 1, 2, 7, 0, 1, 0, 1, 0, 4, 8, 0, 3, 0, 2, 7, 0, 5, 4, 0, 9, 3, 9, 4, 0, 4, 4, 2, 0, 11, 2, 0, 1, 2, 7, 10, 1, 6, 3, 5, 10, 4, 0, 1, 1, 0, 0, 2, 9, 1, 0, 1, 0, 6, 1, 1, 3, 4, 1, 16, 11, 0, 3, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 11, 0, 12, 7, 0, 1, 2, 2, 4, 4, 4, 4, 8, 2, 1, 7, 7, 3, 0, 5, 0, 5, 2, 1, 3, 2, 3, 5, 2, 2, 18, 0, 7, 13, 8, 3, 2, 6, 1, 1, 0, 6, 2, 6, 9, 5, 0, 0, 1, 1, 0, 11, 1, 1, 1, 7, 1, 1, 11, 0, 6, 9, 0, 3, 5, 5, 0, 2, 0, 1, 6, 1, 1, 0, 4, 1, 5, 2, 0, 7, 1, 2, 3, 8, 3, 4, 0, 1, 0, 0, 2, 4, 0, 2, 1, 2, 5, 2, 4, 2, 6, 0, 4, 1, 2, 2, 4, 4, 1, 0, 2, 7, 3, 2, 1, 6, 2, 11, 3, 0, 3, 2, 4, 0, 4, 1, 0, 7, 5, 2, 3, 0, 0, 9, 2, 1, 7, 2, 1, 2, 1, 1, 4, 3, 2, 3, 2, 5, 0, 0, 4, 1, 0, 0, 9, 2, 1, 1, 14, 5, 0, 1, 5, 3, 2, 2, 3, 4, 1, 0, 4, 14, 2, 6, 1, 4, 11, 6, 1, 5, 1, 3, 2, 0, 1, 0, 4, 2, 5, 8, 4, 0, 1, 10, 1, 1, 2, 11, 1, 5, 2, 1, 2, 1, 0, 4, 6, 7, 0, 3, 4, 0, 0, 3, 4, 3, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 3, 4, 0, 4, 0, 11, 1, 0, 7, 3, 0, 3, 2, 6, 1, 8, 2, 6, 1, 3, 2, 4, 4, 5, 2, 3, 3, 2, 2, 6, 0, 1, 0, 10, 1, 0, 0, 8, 1, 16, 2, 1, 2, 0, 0, 9, 2, 12, 5, 1, 0, 2, 2, 4, 11, 6, 4, 0, 6, 3, 8, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 12, 3, 0, 5, 0, 3, 0, 0, 2, 1, 9, 1, 2, 3, 0, 0, 6, 1, 0, 3, 1, 1, 4, 0, 0, 6, 0, 5, 2, 2, 12, 0, 0, 0, 8, 4, 2, 8, 0, 4, 2, 2, 4, 0, 8, 3, 7, 4, 0, 6, 0, 0, 0, 2, 13, 0, 4, 1, 4, 7, 3, 1, 5, 2, 0, 1, 11, 3, 3, 5, 1, 1, 1, 1, 0, 1, 0, 3, 3, 0, 4, 0, 2, 10, 4, 0, 7, 14, 0, 4, 0, 0, 5, 4, 4, 2, 3, 0, 2, 1, 9, 0, 5, 1, 27, 0, 2, 0, 1, 6, 2, 6, 2, 4, 3, 3, 6, 2, 4, 2, 5, 1, 0, 0, 0, 1, 1, 3, 0, 1, 11, 2, 0, 5, 3, 2, 9, 0, 9, 2, 8, 2, 12, 0, 2, 1, 3, 2, 3, 1, 12, 0, 3, 1, 5, 1, 7, 6, 6, 0, 12, 1, 3, 2, 8, 14, 2, 3, 3, 2, 0, 0, 0, 1, 5, 0, 0, 1, 4, 0, 5, 7, 2, 3, 2, 0, 0, 10, 6, 2, 2, 0, 1, 9, 3, 0, 7, 1, 3, 0, 4, 3, 3, 5, 2, 9, 2, 6, 4, 5, 8, 4, 3, 1, 2, 2, 0, 1, 0, 2, 12, 4, 2, 6, 2, 0, 1, 4, 1, 1, 1, 3, 0, 2, 0, 11, 5, 2, 4, 0, 2, 9, 3, 0, 1, 12, 15, 0, 1, 1, 11, 1, 3, 4, 1, 3, 15, 5, 6, 0, 1, 3, 0, 1, 6, 2, 0, 3, 4, 0, 2, 12, 5, 3, 2, 3, 3, 3, 0, 4, 4, 0, 2, 2, 6, 1, 2, 3, 2, 12, 0, 0, 5, 5, 11, 0, 2, 5, 3, 2, 4, 3, 6, 1, 4, 3, 0, 1, 1, 0, 1, 6, 1, 15, 3, 9, 4, 0, 0, 1, 0, 1, 2, 2, 3, 1, 3, 1, 1, 1, 14, 5, 3, 3, 4, 11, 3, 6, 1, 7, 1, 2, 9, 0, 0, 2, 1, 1, 0, 6, 0, 0, 0, 1, 0, 2, 30, 6, 2, 1, 1, 0, 18, 5, 0, 2, 3, 1, 2, 0, 6, 1, 0, 3, 16, 1, 6, 5, 6, 2, 5, 6, 0, 3, 0, 4, 13, 0, 1, 0, 2, 1, 8, 2, 11, 2, 1, 6, 3, 1, 0, 4, 3, 0, 0, 1, 1, 0, 5, 0, 17, 2, 0, 2, 5, 1, 2, 4, 6, 4, 5, 1, 11, 0, 2, 1, 6, 2, 7, 0, 5, 2, 2, 1, 3, 2, 11, 0, 3, 9, 1, 0, 1, 3, 2, 5, 0, 0, 8, 0, 9, 3, 7, 5, 4, 7, 0, 4, 16, 0, 0, 6, 5, 0, 6, 0, 3, 0, 1, 0, 6, 0, 2, 0, 4, 4, 2, 6, 2, 0, 1, 9, 7, 0, 0, 2, 7, 4, 0, 4, 1, 2, 1, 0, 4, 0, 6, 4, 1, 2, 2, 7, 1, 1, 0, 1, 9, 1, 7, 1, 3, 0, 1, 3, 6, 1, 1, 3, 1, 0, 3, 2, 4, 7, 8, 3, 3, 1, 1, 3, 0, 0, 0, 10, 5, 3, 5, 4, 0, 3, 1, 6, 7, 2, 8, 8, 13, 4, 1, 3, 0, 1, 0, 4, 0, 0, 6, 5, 0, 6, 2, 0, 0, 1, 1, 15, 2, 1, 0, 3, 0, 6, 0, 8, 1, 7, 0, 0, 19, 2, 10, 5, 0, 2, 1, 0, 4, 4, 0, 10, 0, 0, 3, 0, 2, 1, 6, 0, 10, 1, 2, 1, 4, 6, 2, 5, 2, 3, 2, 3, 4, 6, 0, 4, 3, 7, 3, 3, 4, 0, 0, 9, 2, 0, 2, 4, 0, 0, 2, 3, 0, 4, 0, 1, 1, 2, 0, 20, 2, 1, 2, 6, 4, 1, 0, 0, 0, 1, 7, 7, 4, 1, 2, 8, 3, 0, 4, 3, 4, 0, 0, 2, 10, 4, 2, 4, 0, 1, 1, 8, 0, 3, 6, 1, 10, 1, 0, 4, 1, 0, 1, 2, 4, 5, 10, 2, 3, 0, 12, 5, 6, 1, 0, 4, 0, 3, 2, 3, 0, 0, 0, 0, 0, 10, 7, 3, 4, 5, 3, 1, 0, 5, 2, 0, 1, 7, 0, 0, 6, 6, 22, 2, 1, 2, 1, 2, 0, 4, 1, 3, 6, 4, 2, 1, 15, 0, 7, 1, 0, 0, 2, 1, 2, 0, 2, 3, 4, 0, 2, 4, 1, 2, 4, 0, 3, 1, 0, 0, 5, 0, 7, 1, 0, 1, 0, 0, 11, 1, 0, 0, 8, 7, 2, 8, 1, 0, 0, 3, 1, 2, 1, 9, 0, 10, 3, 2, 2, 0, 6, 1, 0, 1, 8, 2, 6, 4, 0, 0, 6, 0, 0, 1, 1, 5, 10, 5, 3, 2, 4, 7]

# ╔═╡ e0c1f08e-049c-11eb-2f91-ffb965cc418d
experiment_2 = [2, 3, 3, 2, 1, 0, 1, 6, 0, 0, 1, 0, 6, 1, 0, 1, 5, 4, 3, 2, 1, 6, 0, 4, 3, 2, 5, 2, 2, 2, 1, 2, 0, 1, 1, 6, 2, 4, 0, 1, 5, 1, 7, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 3, 9, 0, 2, 3, 0, 3, 7, 3, 0, 1, 10, 0, 2, 6, 0, 17, 9, 0, 9, 2, 7, 9, 3, 0, 3, 1, 5, 2, 7, 5, 2, 1, 0, 9, 1, 0, 0, 5, 3, 7, 0, 3, 10, 1, 9, 2, 1, 6, 3, 0, 4, 4, 2, 1, 2, 3, 0, 0, 1, 1, 0, 1, 2, 2, 2, 3, 0, 0, 0, 3, 0, 4, 0, 1, 1, 0, 6, 3, 0, 14, 0, 1, 0, 4, 0, 4, 0, 0, 1, 1, 1, 3, 0, 1, 1, 4, 9, 2, 1, 1, 5, 1, 0, 1, 6, 1, 6, 19, 0, 3, 0, 1, 1, 0, 8, 0, 1, 2, 1, 2, 0, 6, 7, 0, 1, 3, 5, 6, 2, 5, 1, 11, 2, 6, 2, 0, 6, 0, 2, 4, 5, 1, 2, 3, 3, 3, 2, 2, 6, 1, 6, 0, 5, 6, 0, 6, 16, 7, 2, 2, 5, 8, 8, 0, 17, 10, 0, 2, 13, 4, 3, 0, 6, 2, 0, 1, 4, 0, 12, 4, 2, 2, 0, 3, 2, 2, 1, 4, 0, 2, 0, 1, 2, 3, 6, 2, 7, 4, 11, 0, 0, 4, 7, 4, 10, 0, 2, 0, 1, 1, 1, 1, 1, 3, 2, 1, 3, 7, 0, 2, 3, 5, 15, 9, 2, 1, 2, 3, 1, 2, 0, 2, 0, 2, 13, 0, 5, 4, 1, 2, 1, 5, 2, 2, 1, 5, 2, 0, 2, 3, 0, 0, 0, 0, 3, 1, 0, 1, 1, 1, 0, 3, 5, 1, 1, 12, 0, 2, 3, 5, 7, 2, 3, 0, 2, 2, 3, 0, 0, 2, 3, 5, 2, 6, 4, 0, 4, 3, 0, 4, 7, 5, 5, 3, 1, 0, 5, 7, 0, 6, 1, 0, 12, 2, 0, 7, 2, 1, 4, 0, 1, 0, 0, 2, 0, 6, 6, 8, 0, 1, 2, 0, 2, 2, 0, 0, 3, 0, 1, 8, 2, 0, 1, 0, 13, 4, 1, 0, 0, 10, 0, 3, 2, 0, 1, 0, 6, 8, 4, 1, 9, 1, 0, 5, 4, 2, 6, 0, 1, 4, 6, 1, 2, 6, 0, 3, 1, 0, 1, 11, 0, 3, 9, 4, 2, 8, 0, 2, 10, 0, 11, 6, 0, 16, 3, 1, 4, 2, 2, 4, 2, 4, 0, 1, 0, 3, 3, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 8, 2, 0, 0, 1, 0, 6, 2, 1, 6, 0, 1, 4, 2, 2, 2, 9, 1, 1, 7, 5, 5, 1, 0, 14, 2, 0, 4, 0, 0, 3, 1, 6, 1, 0, 3, 4, 7, 2, 2, 1, 4, 2, 8, 0, 0, 2, 2, 0, 4, 2, 3, 0, 2, 0, 1, 0, 3, 0, 1, 0, 2, 6, 2, 4, 3, 0, 1, 5, 4, 0, 0, 0, 2, 4, 3, 3, 10, 4, 2, 1, 2, 1, 2, 1, 0, 4, 5, 3, 5, 5, 0, 3, 1, 3, 0, 1, 1, 0, 5, 1, 2, 1, 13, 1, 1, 0, 3, 1, 3, 1, 1, 6, 1, 6, 1, 4, 1, 1, 3, 6, 5, 2, 8, 10, 2, 1, 8, 2, 1, 5, 18, 3, 2, 3, 0, 0, 1, 2, 6, 2, 1, 0, 3, 1, 1, 0, 3, 2, 2, 10, 7, 0, 0, 2, 0, 3, 1, 0, 3, 0, 0, 3, 2, 0, 0, 8, 3, 1, 8, 0, 2, 4, 4, 0, 0, 5, 9, 0, 2, 1, 5, 3, 2, 3, 4, 0, 0, 0, 1, 2, 0, 0, 0, 9, 0, 13, 0, 0, 9, 4, 3, 0, 4, 1, 5, 0, 2, 2, 1, 5, 6, 0, 0, 2, 1, 8, 2, 1, 2, 0, 4, 1, 2, 2, 0, 3, 1, 1, 0, 5, 0, 1, 3, 7, 7, 2, 1, 1, 1, 1, 3, 0, 0, 3, 0, 0, 1, 7, 0, 0, 13, 1, 2, 8, 2, 13, 8, 0, 3, 1, 0, 4, 10, 1, 0, 1, 0, 2, 6, 2, 2, 0, 1, 9, 3, 1, 0, 1, 5, 9, 1, 2, 6, 0, 2, 1, 1, 7, 3, 9, 3, 2, 1, 2, 4, 1, 7, 0, 0, 0, 1, 2, 0, 1, 4, 0, 0, 0, 6, 1, 6, 1, 0, 0, 1, 1, 6, 16, 2, 1, 2, 4, 2, 6, 4, 0, 1, 2, 2, 3, 7, 1, 9, 0, 13, 3, 0, 0, 0, 2, 5, 0, 8, 5, 0, 4, 5, 4, 3, 6, 0, 4, 8, 3, 3, 3, 1, 1, 1, 7, 0, 2, 1, 2, 3, 5, 2, 2, 0, 1, 3, 4, 4, 13, 5, 7, 3, 2, 2, 2, 0, 6, 0, 11, 1, 6, 6, 0, 2, 1, 2, 3, 5, 0, 2, 8, 0, 1, 2, 2, 0, 0, 2, 6, 7, 1, 3, 1, 5, 8, 1, 1, 5, 7, 0, 0, 3, 3, 3, 0, 5, 2, 0, 3, 1, 0, 7, 0, 2, 3, 0, 0, 5, 0, 1, 0, 0, 1, 5, 0, 6, 11, 4, 5, 1, 2, 1, 0, 3, 0, 4, 3, 0, 0, 1, 10, 0, 3, 6, 9, 0, 4, 2, 3, 2, 2, 3, 1, 0, 0, 3, 0, 2, 8, 3, 3, 0, 1, 0, 0, 5, 3, 4, 1, 0, 9, 0, 6, 0, 0, 3, 6, 0, 0, 0, 6, 0, 7, 3, 0, 1, 0, 1, 8, 2, 2, 0, 0, 6, 5, 2, 3, 6, 8, 1, 0, 5, 3, 0, 1, 4, 3, 1, 0, 7, 0, 0, 12, 11, 2, 0, 3, 0, 0, 1, 0, 0, 3, 0, 0, 3, 7, 3, 0, 0, 2, 1, 0, 3, 0, 2, 1, 0, 12, 3, 2, 6, 0, 2, 3, 4, 9, 0, 6, 6, 0, 9, 5, 2, 0, 12, 8, 0, 6, 2, 8, 8, 1, 0, 0, 0, 6, 0, 1, 1, 9, 0, 1, 1, 2, 4, 0, 1, 1, 14, 1, 7, 3, 3, 2, 2, 2, 2, 7, 5, 6, 3, 0, 5, 0, 0, 1, 2, 0, 8, 9, 5, 1, 4, 3, 4, 0, 4, 1, 4, 3, 3, 0, 1, 0, 6, 7, 2, 0, 2, 2, 16, 2, 12, 1, 1, 0, 1, 3, 0, 4, 0, 0, 3, 2, 5, 2, 2, 0, 1, 0, 1, 4, 2, 1, 3, 11, 1, 0, 0, 2, 0, 7, 0, 0, 0, 0, 1, 19, 4, 5, 5, 2, 3, 0, 1, 1, 3, 1, 9, 0, 2, 5, 4, 1, 4, 1, 0, 1, 1, 0, 19, 1, 8, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 3, 2, 2, 4, 0, 1, 0, 3, 1, 6, 5, 0, 0, 1, 1, 5, 8, 6, 13, 6, 2, 4, 6, 0, 0, 4, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 5, 1, 1, 0, 4, 0, 1, 3, 3, 3, 3, 0, 0, 1, 10, 0, 4, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 14, 0, 0, 1, 2, 0, 3, 14, 3, 0, 9, 0, 2, 2, 1, 1, 0, 8, 0, 0, 0, 1, 0, 1, 0, 1, 3, 14, 1, 3, 0, 0, 4, 0, 0, 15, 5, 0, 0, 5, 2, 4, 1, 10, 1, 3, 0, 0, 1, 0, 3, 5, 0, 2, 3, 1, 1, 0, 0, 7, 2, 18, 4, 3, 1, 0, 12, 1, 2, 5, 0, 0, 24, 7, 0, 1, 0, 9, 2, 5, 15, 5, 0, 5, 2, 4, 0, 2, 4, 1, 6, 0, 0, 1, 1, 1, 3, 3, 13, 2, 0, 1, 3, 3, 5, 15, 13, 0, 0, 2, 3, 3, 0, 5, 6, 3, 1, 1, 3, 3, 2, 0, 2, 0, 2, 5, 0, 14, 1, 10, 6, 1, 0, 1, 0, 1, 0, 1, 0, 0, 3, 4, 0, 2, 2, 14, 2, 6, 0, 3, 0, 0, 5, 1, 3, 2, 1, 8, 21, 3, 0, 1, 3, 1, 10, 3, 0, 2, 1, 3, 0, 3, 5, 1, 4, 1, 4, 5, 1, 4, 2, 2, 2, 0, 9, 3, 1, 0, 4, 0, 2, 0, 0, 1, 2, 4, 5, 2, 4, 0, 5, 4, 0, 2, 1, 0, 1, 3, 1, 4, 0, 5, 2, 0, 9, 3, 3, 0, 1, 7, 3, 5, 0, 2, 1, 2, 0, 1, 4, 3, 1, 0, 2, 3, 2, 3, 0, 0, 7, 4, 4, 0, 0, 8, 16, 3, 2, 5, 0, 1, 5, 2, 4, 2, 3, 3, 7, 10, 2, 1, 0, 0, 4, 3, 3, 3, 2, 4, 6, 3, 2, 3, 5, 0, 1, 4, 0, 9, 4, 11, 0, 4, 4, 1, 1, 8, 1, 4, 0, 1, 2, 20, 0, 9, 2, 1, 1, 0, 2, 1, 5, 3, 5, 1, 0, 2, 2, 7, 0, 0, 0, 3, 2, 0, 3, 1, 1, 1, 2, 15, 5, 1, 6, 3, 14, 9, 3, 5, 11, 0, 3, 2, 3, 0, 3, 5, 2, 4, 1, 1, 0, 5, 2, 6, 2, 1, 2, 1, 0, 4, 1, 5, 17, 1, 0, 6, 16, 0, 0, 0, 0, 1, 1, 1, 6, 3, 0, 1, 0, 1, 3, 1, 13, 3, 2, 7, 4, 2, 13, 6, 5, 1, 6, 0, 1, 6, 2, 0, 15, 3, 2, 1, 0, 0, 7, 2, 1, 1, 6, 3, 3, 4, 3, 1, 2, 2, 0, 10, 0, 1, 0, 0, 4, 5, 1, 3, 2, 2, 1, 1, 2, 2, 8, 0, 2, 1, 1, 4, 1, 0, 0, 7, 0, 7, 4, 2, 1, 3, 1, 14, 0, 4, 1, 0, 2, 4, 15, 1, 0, 3, 3, 5, 10, 3, 1, 7, 5, 1, 0, 10, 4, 1, 1, 18, 11, 4, 1, 4, 0, 0, 4, 0, 1, 1, 5, 2, 1, 1, 0, 2, 2, 4, 2, 0, 0, 4, 13, 6, 3, 0, 3, 3, 1, 5, 1, 1, 9, 0, 2, 2, 12, 2, 5, 0, 0, 7, 2, 2, 1, 1, 8, 1, 1, 5, 2, 1, 0, 2, 0, 1, 4, 1, 3, 0, 1, 1, 4, 0, 6, 9, 4, 3, 0, 2, 0, 0, 0, 3, 0, 4, 1, 0, 6, 2, 1, 0, 2, 1, 2, 8, 2, 0, 2, 2, 0, 7, 5, 8, 1, 1, 7, 3, 0, 2, 2, 1, 1, 4, 4, 3, 0, 7, 5, 11, 7, 5, 3, 3, 2, 4, 3, 4, 0, 0, 6, 3, 3, 1, 1, 2, 1, 2, 4, 0, 0, 8, 0, 3, 4, 11, 0, 3, 2, 3, 1, 1, 1, 3, 3, 4, 3, 0, 11, 3, 3, 6, 1, 3, 1, 1, 4, 1, 0, 3, 0, 8, 5, 1, 2, 0, 7, 0, 0, 0, 3, 3, 3, 3, 13, 3, 0, 8, 0, 1, 0, 0, 3, 3, 1, 4, 1, 0, 3, 0, 1, 1, 3, 0, 4, 0, 0, 0, 2, 17, 0, 2, 11, 3, 2, 5, 1, 0, 2, 7, 0, 3, 0, 5, 1, 6, 4, 2, 20, 0, 4, 4, 7, 3, 2, 3, 5, 0, 0, 1, 1, 1, 3, 5, 2, 1, 1, 10, 3, 3, 1, 3, 4, 1, 10, 0, 0, 1, 5, 4, 12, 0, 1, 3, 13, 17, 4, 1, 1, 7, 1, 1, 0, 1, 2, 0, 2, 1, 14, 0, 0, 21, 4, 0, 9, 1, 1, 2, 1, 22, 0, 3, 0, 3, 1, 0, 3, 10, 0, 2, 3, 1, 1, 6, 2, 1, 2, 1, 0, 5, 3, 4, 4, 2, 2, 3, 2, 2, 4, 10, 3, 7, 3, 0, 0, 2, 5, 3, 3, 1, 3, 3, 9, 2, 3, 2, 0, 2, 1, 1, 0, 6, 1, 4, 1, 7, 2, 0, 1, 1, 0, 0, 0, 7, 1, 6, 6, 0, 0, 0, 5, 2, 2, 11, 2, 1, 0, 2, 2, 1, 0, 0, 4, 0, 0, 5, 0, 9, 6, 2, 7, 5, 1, 2, 4, 0, 4, 5, 0, 2, 1, 4, 1, 0, 2, 4, 9, 1, 8, 7, 3, 1, 2, 7, 1, 3, 1, 8, 4, 2, 12, 1, 0, 1, 10, 3, 0, 2, 1, 7, 0, 0, 1, 2, 4, 3, 0, 0, 0, 1, 3, 8, 0, 10, 0, 0, 0, 1, 3, 4, 2, 0, 0, 5, 0, 5, 6, 0, 1, 15, 0, 2, 0, 0, 5, 2, 1, 1, 0, 1, 3, 0, 4, 0, 0, 2, 7, 2, 3, 1, 4, 9, 4, 2, 1, 2, 2, 0, 2, 1, 8, 0, 0, 7, 2, 4, 1, 0, 1, 0, 8, 4, 3, 7, 7, 1, 1, 2, 1, 3, 2, 0, 7, 3, 0, 4, 7, 6, 0, 2, 8, 4, 1, 17, 1, 0, 6, 1, 3, 18, 1, 2, 1, 14, 0, 7, 1, 1, 0, 0, 0, 2, 20, 10, 2, 0, 4, 2, 0, 1, 1, 4, 3, 0, 4, 0, 13, 7, 2, 2, 7, 6, 0, 2, 0, 0, 6, 0, 1, 1, 4, 1, 3, 1, 3, 3, 1, 16, 6, 2, 1, 1, 1, 0, 5, 5, 4, 2, 0, 7, 0, 1, 3, 1, 4, 3, 3, 1, 1, 9, 3, 5, 3, 8, 0, 1, 4, 10, 5, 4, 0, 0, 6, 0, 4, 0, 0, 4, 0, 0, 1, 4, 1, 1, 0, 5, 14, 6, 5, 9, 8, 1, 5, 0, 3, 5, 0, 2, 0, 6, 1, 0, 2, 1, 6, 3, 0, 0, 0, 2, 3, 0, 5, 0, 12, 0, 6, 9, 0, 0, 6, 3, 16, 16, 1, 0, 1, 2, 1, 5, 3, 7, 1, 0, 3, 3, 9, 0, 2, 0, 1, 2, 1, 3, 7, 2, 3, 8, 2, 0, 0, 5, 3, 5, 12, 1, 5, 5, 1, 13, 0, 11, 2, 1, 3, 1, 4, 10, 2, 0, 1, 0, 7, 2, 5, 3, 7, 0, 1, 3, 0, 4, 6, 5, 0, 5, 1, 0, 1, 1, 1, 4, 6, 5, 1, 0, 3, 0, 4, 9, 2, 1, 3, 6, 1, 12, 4, 1, 3, 5, 11, 2, 9, 1, 9, 2, 1, 14, 11, 8, 4, 5, 1, 3, 2, 1, 0, 1, 0, 0, 3, 0, 4, 2, 4, 0, 0, 6, 8, 3, 0, 8, 1, 1, 6, 3, 6, 12, 14, 1, 1, 0, 3, 5, 0, 1, 1, 1, 0, 0, 0, 1, 6, 4, 6, 4, 6, 0, 8, 5, 1, 1, 2, 7, 4, 1, 3, 4, 0, 10, 0, 4, 10, 0, 1, 1, 4, 2, 0, 6, 2, 1, 1, 2, 0, 3, 0, 3, 3, 0, 0, 3, 1, 8, 2, 0, 8, 1, 6, 3, 0, 5, 4, 0, 2, 1, 10, 0, 5, 0, 2, 3, 0, 3, 8, 0, 0, 2, 16, 2, 6, 0, 4, 4, 0, 3, 3, 2, 0, 0, 11, 0, 2, 0, 1, 1, 5, 3, 10, 0, 0, 0, 0, 15, 0, 1, 2, 3, 3, 4, 12, 3, 0, 1, 2, 5, 5, 0, 4, 0, 3, 5, 4, 3, 3, 1, 2, 5, 1, 2, 1, 0, 0, 8, 0, 6, 4, 8, 7, 0, 8, 0, 1, 3, 0, 0, 0, 6, 0, 5, 1, 4, 9, 2, 5, 5, 2, 6, 3, 8, 3, 3, 0, 2, 0, 4, 1, 0, 0, 6, 3, 1, 0, 1, 0, 0, 1, 0, 5, 1, 6, 7, 1, 1, 4, 0, 0, 0, 1, 7, 4, 6, 0, 7, 8, 4, 1, 1, 0, 5, 10, 2, 5, 1, 2, 1, 3, 8, 1, 2, 1, 1, 9, 4, 2, 1, 0, 4, 13, 1, 3, 2, 2, 0, 13, 1, 3, 2, 0, 1, 1, 2, 6, 1, 0, 0, 2, 3, 2, 0, 2, 2, 3, 3, 1, 5, 4, 0, 0, 6, 0, 5, 1, 1, 2, 1, 1, 4, 2, 3, 3, 7, 1, 3, 0, 1, 5, 0, 3, 1, 0, 10, 5, 2, 4, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 9, 7, 3, 14, 1, 1, 0, 0, 6, 7, 2, 2, 3, 2, 4, 4, 0, 3, 9, 3, 5, 2, 5, 0, 0, 8, 5, 2, 2, 2, 2, 0, 4, 10, 2, 5, 10, 0, 0, 2, 0, 6, 3, 8, 6, 1, 3, 4, 0, 0, 1, 3, 13, 2, 1, 4, 2, 4, 3, 2, 6, 10, 3, 3, 1, 0, 4, 0, 1, 6, 6, 4, 1, 0, 3, 2, 1, 1, 0, 4, 12, 2, 1, 1, 18, 2, 0, 8, 2, 2, 1, 2, 1, 7, 0, 2, 1, 0, 3, 0, 5, 1, 2, 3, 1, 4, 4, 4, 8, 13, 7, 1, 1, 3, 0, 6, 0, 2, 0, 5, 4, 15, 1, 0, 5, 0, 5, 0, 2, 2, 9, 0, 13, 3, 0, 0, 5, 1, 1, 5, 0, 5, 1, 1, 1, 2, 0, 0, 0, 1, 1, 3, 1, 1, 0, 4, 0, 0, 0, 2, 4, 2, 5, 7, 1, 0, 5, 4, 0, 1, 6, 0, 3, 4, 1, 0, 1, 0, 21, 6, 3, 1, 6, 9, 3, 5, 0, 8, 6, 3, 4, 0, 2, 5, 0, 5, 0, 7, 0, 3, 6, 0, 0, 0, 1, 3, 0, 4, 2, 6, 2, 0, 0, 8, 1, 2, 0, 6, 3, 0, 10, 2, 1, 4, 0, 6, 3, 3, 4, 5, 7, 7, 4, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 5, 2, 6, 4, 0, 0, 2, 3, 6, 1, 2, 1, 0, 0, 1, 5, 1, 2, 2, 0, 8, 2, 2, 1, 1, 2, 2, 0, 12, 5, 9, 0, 0, 0, 6, 4, 2, 3, 3, 1, 0, 0, 2, 9, 2, 1, 1, 1, 2, 9, 0, 10, 5, 17, 0, 3, 0, 3, 7, 0, 2, 0, 3, 4, 1, 1, 1, 3, 0, 2, 7, 1, 2, 0, 2, 1, 2, 1, 2, 5, 4, 8, 3, 1, 1, 2, 3, 8, 0, 1, 0, 0, 1, 2, 4, 0, 1, 5, 7, 8, 0, 13, 1, 5, 5, 0, 0, 2, 6, 0, 2, 0, 13, 5, 5, 2, 7, 3, 4, 3, 5, 0, 1, 1, 18, 5, 0, 9, 0, 0, 4, 1, 0, 5, 2, 4, 1, 1, 9, 0, 5, 2, 9, 0, 4, 7, 1, 7, 0, 0, 3, 1, 1, 2, 2, 6, 3, 6, 2, 2, 0, 2, 6, 0, 2, 6, 5, 11, 1, 16, 1, 3, 0, 3, 5, 2, 1, 3, 2, 0, 1, 0, 8, 16, 2, 5, 0, 1, 1, 1, 3, 1, 3, 2, 4, 1, 1, 3, 0, 0, 4, 0, 4, 3, 2, 5, 2, 0, 0, 5, 9, 1, 0, 3, 0, 1, 0, 1, 2, 5, 1, 0, 12, 7, 3, 6, 3, 2, 0, 2, 3, 4, 1, 4, 3, 0, 3, 11, 8, 0, 1, 1, 0, 1, 1, 0, 3, 1, 8, 18, 1, 1, 0, 5, 0, 5, 0, 5, 10, 0, 16, 2, 9, 0, 5, 4, 0, 5, 0, 1, 0, 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5, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 4, 3, 4, 1, 4, 1, 7, 1, 1, 2, 1, 2, 0, 0, 10, 2, 0, 3, 2, 3, 24, 12, 12, 1, 2, 1, 8, 8, 1, 0, 6, 2, 0, 0, 0, 1, 8, 1, 1, 24, 0, 2, 8, 6, 1, 1, 1, 3, 6, 9, 2, 3, 4, 2, 1, 3, 0, 1, 6, 13, 6, 2, 3, 0, 3, 0, 2, 1, 5, 3, 0, 1, 3, 1, 2, 4, 1, 1, 1, 0, 1, 3, 9, 9, 2, 1, 4, 6, 8, 5, 0, 6, 2, 2, 6, 0, 2, 1, 2, 3, 2, 2, 3, 1, 2, 14, 1, 0, 0, 0, 0, 3, 4, 3, 0, 2, 0, 1, 1, 3, 4, 3, 0, 0, 6, 4, 2, 1, 1, 0, 1, 6, 1, 1, 8, 1, 4, 0, 13, 2, 1, 4, 5, 4, 1, 2, 3, 5, 3, 1, 0, 5, 1, 4, 1, 4, 0, 3, 2, 0, 7, 2, 0, 0, 0, 4, 1, 0, 1, 4, 1, 8, 7, 8, 6, 1, 1, 2, 8, 4, 6, 6, 1, 7, 3, 0, 4, 1, 2, 1, 2, 5, 0, 0, 2, 3, 2, 2, 1, 4, 2, 3, 1, 3, 9, 1, 4, 10, 0, 0, 1, 1, 0, 3, 5, 2, 2, 1, 1, 3, 4, 4, 5, 0, 1, 0, 1, 1, 4, 0, 0, 1, 6, 3, 0, 5, 1, 0, 2, 2, 0, 0, 0, 8, 1, 1, 0, 4, 7, 0, 0, 0, 0, 3, 0, 6, 4, 0, 1, 5, 0, 2, 1, 22, 3, 1, 3, 2, 7, 0, 7, 0, 1, 4, 5, 0, 8, 9, 1, 1, 2, 6, 1, 11, 1, 7, 7, 1, 0, 9, 2, 2, 0, 1, 1, 4, 4, 5, 8, 2, 0, 4, 2, 6, 1, 10, 16, 3, 2, 5, 0, 4, 1, 1, 0, 1, 4, 2, 1, 5, 1, 6, 3, 1, 1, 0, 0, 1, 3, 9, 1, 5, 2, 0, 2, 5, 2, 8, 2, 1, 7, 2, 2, 0, 1, 1, 0, 3, 1, 3, 5, 9, 2, 6, 4, 1, 3, 15, 6, 3, 15, 2, 2, 1, 3, 4, 4, 1, 0, 1, 2, 2, 2, 3, 1, 1, 1, 2, 5, 0, 1, 1, 2, 0, 1, 8, 0, 4, 0, 2, 3, 7, 5, 4, 2, 1, 0, 2, 1, 6, 6, 5, 2, 2, 0, 3, 0, 8, 1, 0, 2, 1, 0, 4, 10, 2, 2, 1, 2, 0, 2, 0, 10, 3, 1, 5, 6, 0, 1, 18, 6, 3, 0, 3, 2, 11, 5, 3, 6, 9, 4, 0, 0, 2, 0, 3, 7, 0, 3, 2, 5, 6, 0, 1, 2, 5, 1, 0, 1, 5, 4, 2, 16, 1, 4, 8, 3, 1, 3, 14, 6, 1, 12, 1, 0, 4, 3, 3, 2, 1, 5, 3, 2, 2, 4, 0, 5, 4, 0, 3, 1, 7, 7, 3, 7, 9, 0, 3, 2, 2, 4, 8, 7, 3, 1, 3, 3, 2, 0, 0, 0, 1, 2, 0, 4, 2, 4, 1, 2, 5, 0, 5, 6, 0, 18, 0, 0, 0, 0, 5, 2, 4, 2, 3, 2, 4, 0, 0, 2, 1, 1, 3, 4, 3, 1, 0, 2, 13, 17, 1, 6, 2, 0, 0, 1, 0, 0, 3, 4, 0, 7, 11, 6, 4, 2, 1, 0, 2, 5, 0, 3, 1, 0, 9, 2, 1, 5, 0, 2, 8, 4, 0, 5, 27, 8, 0, 3, 20, 0, 7, 1, 2, 2, 1, 11, 0, 4, 0, 8, 7, 5, 3, 0, 1, 2, 2, 5, 2, 0, 5, 4, 6, 14, 1, 0, 1, 1, 20, 5, 0, 1, 3, 1, 4, 3, 8, 3, 0, 3, 4, 0, 1, 0, 0, 0, 0, 1, 3, 2, 3, 5, 1, 2, 0, 0, 0, 2, 9, 4, 4, 0, 8, 0, 17, 9, 5, 4, 0, 0, 2, 4, 1, 1, 11, 2, 0, 5, 5, 2, 4, 0, 5, 4, 10, 6, 3, 0, 0, 0, 4, 10, 4, 11, 1, 2, 2, 3, 0, 3, 4, 7, 0, 0, 1, 2, 6, 6, 0, 4, 0, 1, 2, 5, 0, 0, 1, 1, 3, 2, 1, 1, 5, 2, 3, 3, 2, 0, 2, 0, 6, 5, 3, 0, 5, 7, 0, 0, 1, 0, 3, 0, 2, 0, 4, 0, 4, 6, 2, 5, 13, 1, 0, 5, 2, 0, 2, 5, 4, 11, 2, 17, 8, 2, 3, 2, 4, 0, 0, 3, 2, 9, 2, 8, 0, 0, 0, 11, 1, 4, 1, 3, 1, 7, 4, 10, 2, 0, 7, 13, 3, 1, 2, 0, 0, 4, 4, 2, 2, 2, 1, 0, 1, 14, 1, 2, 3, 9, 2, 0, 2, 3, 0, 12, 2, 3, 1, 0, 7, 4, 1, 5, 3, 0, 1, 0, 0, 11, 10, 11, 10, 4, 0, 1, 2, 1, 13, 11, 5, 11, 2, 10, 2, 0, 0, 3, 0, 0, 1, 1, 1, 4, 3, 3, 0, 12, 0, 3, 1, 1, 5, 1, 0, 3, 0, 3, 0, 4, 2, 1, 1, 1, 1, 7, 2, 0, 0, 1, 1, 4, 0, 15, 2, 9, 3, 3, 0, 9, 4, 3, 2, 1, 19, 12, 1, 1, 3, 2, 1, 1, 3, 2, 0, 3, 4, 9, 5, 1, 0, 5, 0, 5, 3, 3, 1, 5, 1, 1, 1, 0, 6, 1, 7, 2, 6, 4, 1, 0, 3, 1, 12, 2, 3, 0, 2, 5, 3, 3, 0, 0, 0, 5, 2, 0, 1, 5, 9, 7, 3, 7, 7, 0, 8, 2, 1, 3, 0, 1, 1, 2, 4, 5, 19, 0, 2, 1, 0, 2, 1, 6, 2, 0, 3, 1, 0, 2, 0, 2, 7, 3, 1, 4, 11, 1, 8, 6, 0, 4, 6, 1, 0, 0, 4, 5, 4, 0, 5, 2, 1, 3, 0, 0, 2, 1, 0, 0, 2, 9, 0, 1, 0, 1, 0, 15, 3, 6, 1, 0, 16, 3, 0, 1, 4, 0, 0, 6, 1, 0, 1, 8, 3, 3, 3, 1, 4, 0, 2, 0, 11, 2, 2, 1, 3, 10, 1, 5, 0, 2, 1, 4, 3, 5, 0, 5, 2, 0, 3, 5, 4, 0, 1, 1, 6, 4, 2, 5, 5, 5, 5, 0, 4, 7, 0, 1, 2, 0, 5, 1, 1, 0, 0, 1, 1, 4, 2, 4, 0, 1, 8, 1, 2, 2, 5, 4, 2, 1, 1, 4, 8, 1, 1, 0, 1, 0, 1, 0, 0, 5, 0, 5, 2, 0, 1, 1, 5, 15, 2, 1, 1, 1, 0, 0, 4, 3, 2, 3, 0, 1, 3, 3, 3, 0, 1, 0, 2, 6, 4, 4, 1, 1, 0, 0, 6, 5, 2, 4, 1, 5, 2, 1, 16, 1, 4, 2, 6, 1, 0, 10, 5, 0, 0, 2, 3, 5, 10, 4, 0, 4, 6, 1, 2, 10, 2, 0, 5, 2, 1, 3, 3, 0, 2, 9, 0, 2, 2, 3, 4, 6, 7, 12, 1, 3, 7, 1, 0, 5, 9, 0, 6, 0, 1, 2, 8, 0, 2, 1, 1, 0, 25, 0, 2, 0, 1, 1, 0, 1, 2, 3, 6, 2, 0, 1, 0, 1, 2, 5, 11, 2, 13, 6, 2, 1, 0, 3, 4, 0, 0, 3, 0, 0, 0, 2, 1, 0, 1, 9, 1, 3, 1, 6, 4, 1, 11, 1, 5, 1, 2, 3, 6, 2, 2, 0, 1, 3, 3, 1, 1, 3, 3, 2, 3, 3, 6, 3, 3, 4, 1, 4, 5, 3, 0, 6, 4, 3, 0, 0, 0, 1, 7, 5, 3, 7, 4, 2, 2, 2, 2, 0, 0, 0, 1, 1, 3, 2, 1, 0, 3, 1, 5, 0, 2, 3, 4, 8, 4, 3, 1, 0, 2, 0, 1, 0, 1, 4, 1, 0, 3, 1, 1, 0, 1, 2, 0, 1, 4, 19, 0, 0, 0, 13, 0, 0, 5, 9, 20, 4, 0, 3, 5, 6, 4, 2, 7, 1, 1, 6, 5, 1, 3, 4, 8, 0, 1, 3, 1, 7, 4, 10, 3, 4, 0, 5, 2, 6, 0, 2, 0, 3, 2, 2, 2, 2, 2, 0, 0, 3, 9, 1, 0, 0, 21, 1, 2, 7, 4, 4, 0, 2, 0, 3, 3, 3, 6, 5, 5, 1, 4, 1, 0, 5, 2, 7, 1, 2, 1, 0, 0, 4, 4, 1, 0, 17, 7, 1, 4, 0, 4, 4, 1, 3, 3, 6, 4, 2, 28, 1, 3, 0, 3, 5, 0, 3, 2, 0, 1, 0, 2, 1, 1, 9, 0, 8, 1, 2, 16, 5, 5, 6, 4, 0, 1, 1, 1, 0, 3, 1, 6, 3, 1, 1, 4, 7, 3, 2, 7, 4, 0, 0, 2, 4, 0, 0, 9, 0, 1, 8, 0, 0, 0, 5, 0, 2, 1, 2, 5, 3, 2, 10, 3, 0, 1, 4, 0, 19, 4, 1, 0, 3, 1, 2, 0, 0, 1, 2, 1, 0, 18, 2, 3, 0, 5, 1, 2, 0, 5, 1, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 2, 1, 3, 3, 2, 7, 2, 0, 2, 2, 0, 9, 0, 4, 1, 0, 0, 5, 3, 0, 2, 3, 2, 10, 1, 1, 3, 3, 6, 5, 1, 2, 1, 0, 4, 7, 5, 2, 4, 2, 1, 3, 0, 4, 5, 2, 1, 1, 1, 5, 1, 0, 3, 3, 0, 0, 1, 1, 3, 0, 9, 2, 9, 0, 0, 4, 0, 5, 3, 10, 0, 3, 4, 5, 0, 1, 2, 8, 1, 1, 0, 3, 3, 11, 0, 1, 9, 0, 4, 7, 0, 7, 2, 0, 1, 11, 1, 0, 2, 1, 0, 0, 4, 0, 7, 10, 0, 1, 15, 3, 1, 9, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 3, 0, 5, 0, 0, 0, 0, 2, 5, 6, 1, 8, 0, 0, 3, 4, 0, 14, 3, 1, 1, 2, 2, 6, 4, 7, 0, 1, 3, 1, 1, 0, 0, 9, 0, 3, 3, 0, 7, 4, 1, 7, 1, 5, 2, 1, 2, 10, 3, 0, 1, 0, 2, 2, 0, 2, 0, 0, 3, 1, 2, 0, 0, 0, 5, 7, 1, 2, 0, 2, 0, 2, 4, 1, 3, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 4, 2, 1, 0, 5, 2, 1, 2, 3, 1, 3, 2, 0, 0, 2, 0, 3, 16, 3, 2, 0, 2, 3, 5, 15, 0, 1, 0, 6, 5, 6, 0, 4, 7, 3, 0, 0, 10, 5, 10, 17, 0, 0, 3, 9, 5, 1, 0, 5, 3, 5, 3, 1, 6, 2, 1, 3, 1, 1, 3, 0, 3, 2, 0, 4, 16, 5, 4, 1, 10, 6, 6, 7, 8, 1, 4, 1, 0, 0, 4, 3, 3, 2, 0, 3, 0, 4, 0, 0, 7, 3, 6, 20, 1, 6, 0, 0, 4, 4, 4, 5, 0, 7, 0, 0, 1, 7, 0, 3, 6, 2, 0, 0, 8, 0, 0, 0, 2, 4, 4, 2, 5, 2, 3, 3, 0, 0, 0, 7, 2, 3, 7, 3, 2, 10, 0, 11, 5, 0, 6, 1, 1, 0, 0, 0, 1, 0, 10, 0, 5, 1, 4, 0, 3, 7, 0, 0, 2, 3, 0, 1, 2, 0, 1, 2, 3, 3, 0, 0, 0, 0, 0, 2, 6, 1, 12, 1, 1, 8, 3, 1, 2, 1, 2, 6, 4, 0, 2, 1, 0, 0, 3, 0, 0, 9, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 4, 3, 1, 2, 5, 0, 4, 0, 1, 0, 8, 0, 0, 2, 0, 3, 13, 3, 1, 1, 0, 0, 1, 3, 0, 3, 2, 2, 3, 2, 3, 0, 2, 1, 0, 9, 2, 19, 6, 7, 2, 1, 2, 1, 6, 1, 4, 13, 0, 3, 1, 0, 6, 2, 2, 1, 0, 0, 1, 2, 1, 2, 5, 15, 0, 7, 2, 3, 13, 0, 1, 0, 3, 0, 6, 2, 2, 1, 0, 3, 1, 0, 7, 2, 0, 7, 3, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 14, 6, 2, 6, 0, 3, 3, 0, 2, 3, 2, 0, 1, 0, 7, 0, 5, 2, 0, 0, 5, 1, 0, 3, 3, 2, 15, 0, 1, 0, 0, 1, 7, 8, 0, 0, 1, 3, 0, 4, 10, 1, 5, 0, 8, 16, 6, 0, 7, 1, 11, 1, 1, 0, 3, 2, 0, 5, 0, 2, 0, 3, 1, 3, 2, 2, 1, 6, 0, 9, 5, 1, 9, 0, 0, 3, 13, 6, 4, 15, 0, 1, 4, 0, 10, 4, 0, 5, 0, 1, 3, 3, 4, 4, 0, 3, 2, 4, 2, 2, 0, 2, 21, 0, 1, 2, 0, 0, 1, 3, 1, 2, 7, 6, 4, 3, 15, 2, 1, 0, 2, 3, 0, 2, 1, 5, 5, 4, 0, 4, 1, 0, 3, 0, 4, 0, 8, 5, 3, 1, 1, 2, 12, 0, 0, 0, 2, 2, 7, 3, 0, 2, 5, 14, 2, 5, 3, 0, 5, 1, 0, 0, 4, 1, 2, 5, 0, 4, 8, 0, 3, 3, 2, 0, 13, 1, 4, 0, 1, 2, 6, 0, 3, 0, 1, 5, 2, 4, 3, 1, 0, 2, 6, 3, 0, 2, 7, 18, 8, 10, 0, 0, 1, 8, 2, 5, 2, 0, 11, 3, 1, 5, 7, 2, 0, 1, 2, 1, 8, 0, 1, 5, 8, 2, 5, 0, 0, 0, 2, 6, 0, 3, 2, 9, 8, 4, 4, 3, 5, 0, 0, 0, 1, 2, 0, 0, 2, 5, 2, 3, 1, 0, 1, 5, 3, 1, 7, 8, 1, 11, 2, 1, 1, 0, 2, 0, 2, 2, 1, 8, 3, 5, 1, 3, 0, 3, 2, 4, 2, 1, 2, 2, 3, 0, 3, 0, 4, 0, 2, 3, 3, 3, 9, 1, 2, 6, 0, 0, 4, 0, 0, 0, 3, 1, 11, 9, 0, 1, 1, 1, 0, 10, 5, 1, 8, 4, 6, 1, 0, 3, 3, 3, 3, 0, 7, 2, 2, 4, 5, 0, 6, 0, 0, 6, 3, 3, 0, 8, 0, 1, 1, 0, 1, 3, 8, 0, 0, 6, 0, 1, 2, 2, 8, 0, 0, 1, 2, 7, 2, 6, 4, 0, 2, 0, 0, 0, 0, 4, 9, 5, 0, 0, 0, 1, 7, 0, 7, 4, 1, 7, 5, 1, 1, 12, 2, 0, 2, 7, 3, 1, 5, 1, 3, 1, 3, 2, 1, 3, 6, 5, 4, 3, 0, 6, 4, 3, 2, 3, 4, 3, 8, 3, 1, 0, 1, 3, 2, 9, 15, 2, 0, 1, 2, 3, 1, 0, 1, 3, 3, 5, 1, 3, 2, 0, 0, 1, 0, 0, 0, 10, 15, 1, 5, 4, 3, 4, 1, 0, 4, 1, 9, 1, 22, 2, 0, 6, 3, 3, 0, 1, 13, 0, 0, 6, 4, 4, 1, 0, 0, 0, 6, 1, 8, 1, 4, 2, 0, 0, 0, 3, 0, 4, 4, 0, 1, 2, 8, 0, 1, 1, 8, 3, 5, 2, 5, 8, 0, 3, 2, 1, 6, 6, 2, 0, 4, 1, 0, 6, 0, 8, 0, 1, 3, 0, 4, 2, 7, 0, 1, 3, 14, 10, 6, 2, 6, 2, 0, 3, 1, 0, 10, 0, 5, 1, 0, 0, 0, 3, 1, 2, 0, 16, 13, 4, 1, 2, 2, 7, 1, 3, 2, 3, 3, 8, 0, 1, 1, 1, 1, 2, 1, 0, 3, 0, 0, 1, 0, 1, 11, 2, 6, 0, 0, 5, 1, 0, 2, 8, 6, 3, 1, 1, 0, 1, 8, 2, 5, 3, 5, 2, 10, 3, 0, 5, 8, 4, 5, 4, 3, 1, 0, 0, 0, 5, 1, 1, 0, 8, 3, 2, 0, 0, 0, 4, 0, 6, 3, 0, 0, 4, 1, 9, 1, 0, 2, 0, 0, 5, 8, 3, 14, 1, 1, 7, 5, 0, 3, 1, 6, 9, 0, 2, 3, 6, 0, 0, 3, 4, 0, 0, 2, 3, 1, 3, 3, 1, 0, 5, 1, 0, 0, 1, 17, 3, 4, 0, 3, 9, 1, 6, 1, 0, 1, 12, 1, 2, 4, 3, 0, 5, 3, 2, 1, 2, 3, 1, 4, 0, 3, 3, 0, 0, 16, 1, 3, 4, 0, 7, 1, 8, 4, 5, 4, 2, 9, 3, 3, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 4, 2, 5, 5, 1, 0, 2, 1, 0, 3, 0, 5, 1, 7, 2, 9, 1, 2, 2, 4, 2, 0, 0, 13, 0, 7, 1, 6, 0, 0, 6, 1, 2, 1, 0]

# ╔═╡ eed9dc5e-049c-11eb-07ad-010c95c9b4b9
chosen_experiment = experiment_1

# ╔═╡ 0a12ab50-049c-11eb-2da7-1bd6ee3f8db4
function frequencies(values)
	result = Dict()
	for x in values
		result[x] = get(result, x, 0) + 1/length(values)
	end
	result
end

# ╔═╡ f83a9f5a-049b-11eb-2629-df75bdead0d3
data = frequencies(chosen_experiment)

# ╔═╡ d281f3c2-049a-11eb-02dd-e56335245e16
let
	# we turn the dictionary into a vector of pairs, so that we can iterate over them
	pairs = collect(data)
	# we create the bar plot
	bar(first.(pairs), last.(pairs), label=nothing)
end

# ╔═╡ Cell order:
# ╠═a2f60fe4-0495-11eb-27f6-ff7a5231c073
# ╟─b00a4b1e-0495-11eb-3f4c-595d8b3a8dbc
# ╟─e0c1f08e-049c-11eb-2f91-ffb965cc418d
# ╠═eed9dc5e-049c-11eb-07ad-010c95c9b4b9
# ╠═0a12ab50-049c-11eb-2da7-1bd6ee3f8db4
# ╠═f83a9f5a-049b-11eb-2629-df75bdead0d3
# ╠═d281f3c2-049a-11eb-02dd-e56335245e16