Created
November 1, 2019 01:37
-
-
Save vznvzn/c343d6375766cd4ccb360e0c91fb1825 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
def f2(n) | |
return n.odd? ? (n * 3 + 1) / 2 : n / 2 | |
end | |
def dense(w, d) | |
w2 = w - 1 | |
a = (0...w2).to_a | |
s = '0' * w2 | |
(1..(d * w - 1)).map { a.delete_at(rand(a.size)) }.each { |x| s[x, 1] = '1' } | |
return ('1' + s) | |
end | |
def seed(w, w2) | |
ns = dense(w, 0.5) | |
i = rand(w - w2 + 1) | |
ns[i, w2] = '1' * w2 | |
return {'w' => w, 'ns' => ns, 'n' => ns.to_i(2), 'c' => 0} | |
end | |
def add(l, n, x) | |
ns = n.to_s(2) | |
l << {'w' => ns.length, 'ns' => ns, 'n' => n, 'c' => x['c'] + 1} | |
end | |
def fmt1(l, f) | |
l = l.map { |x| x.to_s(2).reverse } | |
w = l.max_by { |x| x.length }.length | |
f.puts("set colors classic; set ytics nomirror; set y2tics; set key top left opaque;\\") | |
f.puts("plot \\") | |
f.puts("[0:#{w}][0:#{l.size - 1}] '-' matrix using 1:2:3 with image title ''") | |
l1 = [] | |
l.each_with_index \ | |
{ | |
|z, i| | |
c = w - z.length | |
z[z.length...w] = '0' * c | |
f.puts(z.split('').join(' ')) | |
} | |
f.puts("eof") | |
f.puts("eof") | |
f.puts("pause -1") | |
end | |
def grid2(l) | |
f = File.open(fn = "gnuplot1.cmd", 'w') | |
f.puts("set palette negative grayscale; unset colorbox;") | |
fmt1(l, f) | |
fmt1(l.sort, f) | |
f.close | |
end | |
def backtrack() | |
w = 100 | |
w2 = 50 | |
x = seed(w, w2) | |
l = [x] | |
24.times \ | |
{ | |
l2 = [] | |
l.each \ | |
{ | |
|x| | |
n = x['n'] | |
add(l2, (n - 1) / 3, x) if ((n - 1) % 3 == 0 && ((n - 1) / 3).odd?) | |
add(l2, n * 2, x) | |
} | |
l = l2 | |
} | |
return l | |
end | |
begin | |
l = backtrack() | |
p(l.size) | |
end while (l.size == 1) | |
grid2(l.map { |x| x['n'] }) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment