bunch28.rb

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

def mx(a, b)
	a.nil? ? b : [a, b].max
end

def mn(a, b)
	a.nil? ? b : [a, b].min
end

def dense(n)
 
        s = n.to_s(2)
        c = 0
        s.length.times \
        {
                |i|
                c += s[i, 1].to_i
        }
        return c.to_f / s.length
 
end

def widthdiff(x, y)
        x.to_s(2).length - y.to_s(2).length
 
end

def widthratio(x, y)
        x.to_s(2).length.to_f / y.to_s(2).length
end

def f(n, w)
 
        n1 = n
        c = 0
	l = [n]
	cg = nil
	
        while (n != 1)
		n = f1(n)

		l << n
                c += 1
	
		cg = c if (cg.nil? && n < n1)

		break if (!cg.nil? && w != 'c')
        end
	cm = (0...l.size).max_by { |x| l[x] }
	
        return {'cm' => cm,
		'cg' => cg.nil? ? 0 : cg, 
		'm' => l[cm].to_s(2).length,
		'w' => widthdiff(l[cm], n1),
		'r' => widthratio(l[cm], n1),
		'c' => l.size,
		'd' => (0.5 - dense(n1)).abs}
 
end

def long(m, w)
 
	return {'n' => rand(2 ** m) | 1 } if (w == 'z')
		
        l = [{'n' => 1, 'p' => 0}.merge(f(1, w))]
        t = 0
	e = 2000
	
        loop \
        {
                l = l.sort_by { |x| [x[w], -x['d']] }.reverse
 
                x = l.delete_at(rand([l.size, 20].min))
 
                p2 = x['p'] + 1
                n2 = x['n'] + 2 ** p2
 
 
                x1 = x.dup
                x1['p'] = p2
                l << x1
 
                x2 = {'n' => n2, 'p' => p2}.merge(f(n2, w))
                l << x2
                t += 1
 
		w2 = w
		if (w == 'r') then
			z = l.sort_by { |x| x['n'] }.reverse[0...100].max_by { |x| x['r'] }
			w2 = 's'
		else
			z = l.max_by { |x| x[w] }
		end
		z.merge!({ 't' => t, 's' => t.to_f / e })
		
                return z if (z[w2] >= m)
		
                return if (t >= e)
        }
 
end

def nonmono(l)
	
	mn = nil
	r = nil
	l.each_with_index \
	{
		|d, i|
		d1 = d.abs
		mn = mn(mn, [d1, i])
		r = mx(r, i - mn[1])
	}
	return r

end

def adv(n)
	l = []
	s = ''
	while (n != 1)
		l << n
		while (n.odd?)
			n = (n * 3 + 1) / 2
			s << '1'
		end
		while (n.even?)
			n /= 2 
			s << '0'
		end
	end
	return [0, l]
end

def smooth(n)
	
	l = []
	a = 100

	a.times { l << adv(n); n += 2 }

	l1 = []
	loop \
	{
		c = t = 0
		l.each \
		{
			|l2|
			x = l2[0]
			if (x == l2[1].size) then
				c += 1
				next
			end
			t += l2[1][x].to_s(2).length
			l2[0] += 1
		}
		l1 << t
		break if (c == a)
	}
	return l1
	
end



def clear()
	$c = [0] * 3
	$a = {}
	$x = 0 if ($x.nil?)
end

def test(p, k, i, m)
	r = p[k]
	a, b, c = r
	
	return if (c && m >= 1.0)
	
	x = a + m * (b - a)
	z = long(x, k)
	clear() if ($c.nil?)
	
	$c[0] += 1
	return if (z.nil?)
	$c[1] += 1
	
	n = z['n']
	return if ($a.member?(n))
	$c[2] += 1
	
	$a[n] = nil
	
	$stderr.puts([$c, k, r2(m), r2(x), z['s'], n.to_s(2)].inspect)
	puts([$x, nonmono(smooth(n)), i].join("\t"))
	$x += 1
	$stdout.flush
end

def r2(x)
	sprintf("%.2f", x).to_f
end

def all(p)
	p.keys.each_with_index \
	{
		|k, i|
		clear()
		100.times \
		{
			|w|
			test(p, k, i, w / 100.0)
		}
		puts
	}
end

p = {'w' => [0, 80, false],
	'p' => [0, 350, false],
	'c' => [0, 550, false],
	'm' => [0, 300, false],
	'cg' => [0, 140, false],
	'cm' => [0, 50, false],
	'r' => [0.0, 1.0, true],
	'z' => [0, 1000, true],
	}

# test(p, 'w', 0, 0.5)

all(p)