def f1(n)
	n = (n * 3 + 1) / 2 while (n.odd?)
	n /= 2 while (n.even?)
	return n
end

def f2(n)
	return n.odd? ? (n * 3 + 1) / 2 : n / 2

end

def f3(n)
	return n.odd? ? (n * 3 + 1) : n / 2

end

def read(fn)
	l = (f = File.open(fn)).readlines.map { |x| Kernel.eval(x) }
	f.close
	$stderr.puts("#{fn} #{l.size}")
	return l
end

def d(s)
        c = s.split('').select { |x| x == '1' }.size
	d = c.to_f / s.length
        return d

end

def e(s)
	l = s.split(/1+/) + s.split(/0+/)
	return l.size.to_f / s.length
end

def c(l, f)
	c = 0
	de2 = 0.5

	l.each \
	{
		|x|
		de = f.call(x.to_s(2)) - 0.5
		c += 1 if (de * de2 < 0)
		de2 = de
	}

	return c.to_f / l.size
end

def de(n)
	n1 = n
	l = [n]
	while (n >= n1 && n != 1)
		n = $f.call(n)
		l << n
	end
	cm = (0...l.size).max_by { |x| l[x] }
	l1 = l[0..cm]
	l2 = l[cm..-1]

	d = lambda { |x| d(x) }
	e = lambda { |x| e(x) }
	t = l1.size + l2.size
	return {'d1' => c(l1, d), 'e1' => c(l1, e), 'd2' => c(l2, d), 'e2' => c(l2, e), 'l1' => l1.size, 'l2' => l2.size, 'l12' => t, 'l1r' => l1.size.to_f / t}
end

def seq(n)
	n1 = n
	l = [n]
	while (n >= n1 && n != 1)
		n = {'packed' => true, 'unpacked' => false}[$w] ? f1(n) : f2(n)
		l << n
	end
	return l
end

def disordered(l)

	l1 = []
	l.each_with_index \
	{
		|x, i|
		l1[i] = d(x.to_s(2)) - 0.5
		return i - 1 if (i >= 1 && l1[i] * l1[i - 1] < 0)
	}
	return
end

def glide(l, i)

	n1 = l[i]
	i += 1 while (l[i] >= n1 && i < l.size - 1)

	return i

end

def n2(n)

	l = seq(n)

	l1 = []
	mx = nil
	loop \
	{

		i = disordered(l)

		break if (i.nil? || (!mx.nil? && l.size < mx))

		l1 << [l[i], glide(l, i) - i]
		mx = l1.map { |x| x[1] }.max

		i += 1 if (i == 0)
		l = l[i..-1]
	}
	return if (l1.empty?)

	x =  l1.max_by { |x| x[1] }

	return {'n' => x[0], 'cg' => x[1]}

end

def dist_j(l)

	z1 = rand(l.size)
	ns = l[z1]['n'].to_s(2)

	r = rand(ns.length) if (r.nil?)

	ns[r, 1] = (ns[r, 1].to_i ^ 1).to_s
	n = ns.to_i(2)
	return n

end

def out(fn, l, a)
	f = File.open(fn, 'w')
	f.puts('$dat << eof')
	k = l[0].keys
	f.puts(k.join("\t"))
	l.each { |x| f.puts(x.values.join("\t")) }

	f.puts('eof')
	f.puts('set colors classic; set ytics nomirror; set y2tics; plot \\')
	k.each { |x| f.puts("'$dat' using (column('#{x}')) with line #{a.fetch(x, '')},\\") if (a.member?(x)) }
	f.puts
	f.close

end


tf = 1

$f = [lambda { |x| f1(x) }, lambda { |x| f2(x) }, lambda { |x| f3(x) }][tf]

l = read('mix19/mixdb.txt')

a = {}
l.each { |x| a[x['n']] = x }
l = a.values

l = (0...500).map { n2(dist_j(l)) }.compact

l2 = l.map { |x| de(x['n']) }.sort_by { |x| x['l1'] }

out('gnuplot1.cmd', l2, {'d1' => '', 'l1' => 'axes x1y2'})

l2.sort_by! { |x| x['l2'] }

out('gnuplot2.cmd', l2, {'l1' => '', 'l2' => 'lw 3', 'l12' => '', 'l1r' => 'axes x1y2'})