Created
December 31, 2015 20:20
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def f1(n) | |
n = (n * 3 + 1) / 2 while (n.odd?) | |
n /= 2 while (n.even?) | |
return n | |
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 ** (s = m * 1000)) | 1, 's' => s } 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 | |
if (w == 'r') then | |
z = l.sort_by { |x| x['n'] }.reverse[0...100].max_by { |x| x['r'] } | |
else | |
z = l.max_by { |x| x[w] } | |
end | |
z.merge!({ 't' => t, 's' => t.to_f / e }) | |
return z if (z['s'] >= m) | |
} | |
end | |
def clear() | |
$c = [0] * 2 | |
$a = {} | |
$x = 0 if ($x.nil?) | |
end | |
def adv(n) | |
l = [n] | |
n1 = n | |
while (n != 1 && n >= n1) | |
n = f1(n) | |
l << n | |
end | |
return l | |
end | |
def diff(n1) | |
ns = n1.to_s(2) | |
return if (ns.length == 1) | |
n2 = ('1' + ns[2..-1]).to_i(2) | |
l1 = adv(n1) | |
l2 = adv(n2) | |
m1 = (0...l1.size).max_by { |x| l1[x] } | |
m2 = (0...l2.size).max_by { |x| l2[x] } | |
l1 = l1[m1..-1] | |
l2 = l2[m2..-1] | |
m = [l1.size - 1, l2.size - 1].max | |
mx = nil | |
(0..m).each \ | |
{ | |
|x| | |
r = x.to_f / m | |
x1 = (r * (l1.size - 1)).to_i | |
x2 = (r * (l2.size - 1)).to_i | |
d = widthdiff(l1[x1], l2[x2]).abs | |
mx = [mx, d].compact.max | |
} | |
return [mx] | |
end | |
def test(p, k, c, m) | |
z = long(m, k) | |
clear() if ($c.nil?) | |
$c[0] += 1 | |
n = z['n'] | |
return if ($a.member?(n)) | |
$c[1] += 1 | |
$a[n] = nil | |
$stderr.puts([$c, k, z['s'], n.to_s(2)].inspect) | |
l = diff(n) | |
puts(([$x, c] + l).join("\t")) if (!l.nil?) | |
$stdout.flush | |
$x += 1 | |
end | |
def r2(x) | |
sprintf("%.2f", x).to_f | |
end | |
def all(p) | |
c = 100 | |
p.each_with_index \ | |
{ | |
|k, i| | |
clear() | |
(c + 1).times \ | |
{ | |
|w| | |
test(p, k, i, w / c.to_f) | |
} | |
puts | |
$x += 25 | |
} | |
end | |
p = ['w', 'p', 'c', 'm', 'cg', 'cm', 'r', 'z'] | |
# test(p, 'w', 50, 0.5); exit | |
all(p) |
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