Created
August 22, 2015 18:09
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#!/usr/bin/ruby1.8 | |
def f(n) | |
n1 = n | |
c = 0 | |
m = [0, 0] | |
while (n != 1 && n >= n1) | |
n = (n * 3 + 1) / 2 while (n % 2 == 1) | |
n /= 2 while (n % 2 == 0) | |
m = [m, [n, c]].max | |
c += 1 | |
end | |
return {'m' => m[0], | |
'cm' => m[1], | |
'c' => c} | |
end | |
def long(r) | |
l = [{'n' => 1, 'p' => 0}.merge(f(1))] | |
w = 'cm' | |
j = 0 | |
loop \ | |
{ | |
l = l.sort_by { |x| x[w] }.reverse | |
x = l.delete_at(rand([l.size, 10].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)) | |
if (r.member?(x2['cm'])) then | |
x2['j'] = j | |
x2['s'] = l.size | |
return x2 | |
else | |
l << x2 | |
end | |
return if ((j += 1) >= 2000 || l.empty?) | |
} | |
end | |
def long2(r) | |
10.times \ | |
{ | |
|i| | |
x = long(r) | |
if (!x.nil?) then | |
x['i'] = i | |
return x | |
end | |
} | |
raise | |
end | |
def run(r, l0, l1, l2, t) | |
x = long2(r) | |
x.delete('m') | |
n = x.delete('n') | |
l = [] | |
i = 0 | |
while (n != 1) | |
c1 = c0 = 0 | |
while (n % 2 == 1) | |
n = (n * 3 + 1) / 2 | |
c1 += 1 | |
end | |
while (n % 2 == 0) | |
n /= 2 | |
c0 += 1 | |
end | |
ns = n.to_s(2) | |
l0[i] = l1[i] = l2[i] = t[i] = 0 if (t[i].nil?) | |
l0[i] += c0 | |
l1[i] += c1 | |
l2[i] += n.to_s(2).length | |
t[i] += 1 | |
i += 1 | |
end | |
$i = 0 if ($i.nil?) | |
x['c2'] = i | |
$stderr.puts([$i += 1, x].inspect) | |
end | |
l0, l1, l2, t = [], [], [], [] | |
ARGV[0].to_i.times { run(75..80, l0, l1, l2, t) } | |
t.size.times { |i| puts(([l0, l1, l2].map { |l| l[i].to_f / t[i] } + [t[i]]).join("\t")) } |
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