Hi Jae-Joon & All,
On 28 February 2010 03:09, Jae-Joon Lee wrote:
> If I read your correctly,
>
> for l, b in zip(x, y):
>
> # And here I work with data coordinates (!)
>
> dashBox = Bbox.from_bounds(l, b, width+5, height+5)
> badness = 0
> for line in lines:
> if line.intersects_bbox(dashBox):
> badness += 1
>
> x, y (therefore l, b) in data coordinate.
> width, height?? this seems to be some wx specific coordinate, i have no idea.
> lines (therefore line) in display coordinate.
>
> converting x,y to display coordinate should straight forward. But I'm
> not sure what kind of coordinate width and height has. Is it a method
> of some class derived from matplotlib's Text?? If then, the extent of
> the text can be measured using the get_window_extent method. This
> requires a renderer instance, which should be known if the method is
> called during the drawing time.
>
> Again, post a complete but simple(!) code.
OK, I think I got a complete code. Not super-simple, but simple enough
I believe. After you run it you'll see a bunch of points and lines
with some text. If you left-click inside the axis this will start the
calculations for the "optimal positioning". There are a couple of
problems:
1) The code I have looks only for optimal positioning with respect to
lines in the plot, it doesn't include texts (I don't know how to do
it); You'll see what I mean if you run the code, the "optimally"
positioned texts overlap with other text in the plot, and with
themselves too (i.e., one "optimally" positioned text overlap with
another "optimally" positioned text);
2) The code as it stands it's veeeeery slow. On my (relatively fast)
computer, it takes almost 6 seconds to "optimally" position 14 labels.
In order to run the code, you'll also need the "lines.txt" file, which
contains the main lines coordinates. Sorry about this extra file but I
wanted it to be as close as possible to my use-case.
Thank you in advance for your suggestions.
Andrea.
"Imagination Is The Only Weapon In The War Against Reality."
http://xoomer.alice.it/infinity77/
http://thedoomedcity.blogspot.com/
import wx
import numpy
import matplotlib
import time
matplotlib.use("WXAGG")
from matplotlib.transforms import Bbox
from matplotlib.pyplot import figure, show
x = [71, 75, 56, 61, 42, 73, 89, 17, 70, 89, 26.2, 77, 82, 80, 53, 47,
54, 46, 84, 29, 26, 89, 50, 71, 62, 69, 75, 76, 66, 70, 71, 85, 60]
y = [42, 31, 42, 43, 34, 31, 13, 39, 58, 47, 42.5, 39, 25, 12, 34, 46,
13, 17.7, 59, 26, 33, 57, 40, 22, 47, 40, 45, 17, 55, 51, 63, 24, 16.5]
pointNames = ["Point_%d"%indx for indx in xrange(1, len(x)+1)]
fid = open("lines.txt", "rt")
xLines = eval(fid.readline().strip())
yLines = eval(fid.readline().strip())
fid.close()
lineNames = ["Line_%d"%indx for indx in xrange(1, len(xLines)+1)]
lineText = "MODEL 1: %0.6g\nMODEL 2: %0.6g"
multValues = numpy.random.random((len(x), 2))
def button_press_callback(event):
if event.inaxes is not None:
start = time.clock()
ax = event.inaxes
position_labels(ax)
print "\nElapsed Time:", time.clock() - start
ax.get_figure().canvas.mpl_disconnect('button_press_event')
def position_labels(ax):
dc = wx.MemoryDC()
dc.SelectObject(wx.EmptyBitmap(1, 1))
font = wx.SystemSettings_GetFont(wx.SYS_DEFAULT_GUI_FONT)
font.SetPointSize(8)
dc.SetFont(font)
inv = ax.transData.inverted()
count = 0
for xl, yl in zip(xLines, yLines):
name = lineText%(multValues[count][0], multValues[count][1])
txt = ax.text(xl[0], yl[0], name, fontsize=8, withdash=True,
dashdirection=1,
dashlength=10, rotation=0, dashrotation=90, dashpush=10)
txt.set_backgroundcolor((1, 1, 1))
txt.set_multialignment("left")
ox, oy = position_annotation(dc, ax, name, txt, xl, yl)
ox1, oy1 = inv.transform((ox, oy))
txt.set_position((ox1, oy1))
count += 1
dc.SelectObject(wx.NullBitmap)
ax.get_figure().canvas.draw()
def position_annotation(dc, ax, name, txt, xl, yl):
lines = []
for handle in ax.lines:
path = handle.get_path()
trans = handle.get_transform()
tpath = trans.transform_path(path)
lines.append(tpath)
width, height, dummy = dc.GetMultiLineTextExtent(name)
candidates = []
values = ax.transData.transform(zip(xl, yl))
for l, b in values:
dashBox = Bbox.from_bounds(l, b, width, height)
badness = 0
for line in lines:
if line.intersects_bbox(dashBox):
badness += 1
if badness == 0:
return l, b
candidates.append((badness, (l, b)))
# rather than use min() or list.sort(), do this so that we are assured
# that in the case of two equal badnesses, the one first considered is
# returned.
# NOTE: list.sort() is stable.But leave as it is for now. -JJL
candidates.sort()
ox, oy = candidates[0][1]
return ox, oy
def main():
fig = figure(figsize=(13, 10))
ax = fig.add_axes([0.05, 0.05, 0.9, 0.9])
for i in xrange(len(x)):
ax.plot([x[i]], [y[i]], color="k", linestyle="None", marker=".", ms=16,
zorder=10)
ax.text(x[i]+0.5, y[i]+1, pointNames[i], color="k", fontsize=9,
va="center", ha="center", zorder=10)
count = 0
for xl, yl in zip(xLines, yLines):
ax.plot(xl, yl, color="r", zorder=6)
ax.text(xl[0]+0.2, yl[0]+0.2, lineNames[count], color="r", fontsize=7,
va="bottom", ha="center", zorder=5)
ax.text(xl[-1]+0.2, yl[-1]+0.2, lineNames[count], color="r", fontsize=7,
va="bottom", ha="center", zorder=5)
count += 1
minX, maxX = ax.get_xlim()
minY, maxY = ax.get_ylim()
ax.set_xlim([minX-2, maxX+2])
ax.set_ylim([minY-2, maxY+2])
ax.invert_yaxis()
fig.canvas.mpl_connect('button_press_event', button_press_callback)
show()
if __name__ == "__main__":
main()
[[63, 74, 77, 77, 79, 81], [81, 81, 82, 84, 84, 84, 85, 85, 85, 85, 86, 86, 86,
86, 87, 87, 87, 87, 88, 89, 89, 89, 90, 90, 90, 90, 91, 95, 95, 95, 96, 96, 96,
96, 97, 97, 97, 98, 98, 98, 99, 100], [83, 83, 84, 84, 84, 84, 85, 85, 85, 85,
85, 85, 84, 84], [14, 14, 15, 17, 17, 17, 18, 19, 19, 19, 20, 22, 22, 22, 23,
29, 29, 29, 30, 37, 37, 37, 38, 40, 40, 40, 41, 46, 52, 52, 53, 53], [62, 58,
62, 62], [57, 62], [35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35,
35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36,
36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36,
36, 36, 36, 36, 36, 36, 36, 36, 36, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33, 33, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28], [41, 41,
41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 40, 40, 40, 40, 40, 40,
38, 38, 38, 38, 37, 37, 37, 37, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35,
36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36,
36, 36, 36, 36, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 33, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 25, 25], [81, 81, 82,
84, 84, 84, 85, 85, 85, 85, 86, 86, 86, 86, 87, 87, 87, 87, 88, 89, 89, 89, 90,
90, 90, 90, 91, 95, 95, 95, 96, 96, 96, 96, 97, 97, 97, 98, 98, 98, 99, 100],
[63, 63, 74, 74, 77, 77, 79, 81], [9, 9, 9, 9, 10, 14, 14, 14, 15, 17, 17, 17,
18, 19, 19, 19, 20, 22, 22, 22, 23, 29, 29, 29, 30, 37, 37, 37, 38, 40, 40, 40,
41, 46, 52, 52, 53, 53], [17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20,
20, 21, 21, 21, 21, 21, 21, 20, 20], [22, 22, 23, 23, 23, 23, 24, 24, 24, 24,
25, 25, 25, 25, 26, 27, 27, 27, 28, 30, 30, 30, 31, 33, 33, 33, 34, 36, 36, 36,
37, 38, 38, 38, 39, 40, 40, 40, 41, 43, 43, 43], [51, 51, 52, 56, 56, 56, 57,
62]]
[[18, 18, 19, 19, 19, 19], [20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23,
23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 25, 25, 25,
25, 24, 24, 24, 23, 23, 24, 24, 24], [31, 41, 41, 41, 42, 45, 45, 45, 46, 50,
50, 50, 51, 53], [26, 26, 25, 25, 25, 25, 24, 24, 24, 24, 23, 23, 23, 23, 22,
22, 22, 22, 21, 21, 21, 21, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18], [10, 17,
17, 17], [18, 18], [21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22,
22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22,
22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,
23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,
23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25,
25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25,
25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29,
29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 33, 33, 33,
33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33,
33, 33, 33, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 44], [15, 15,
15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16,
19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23,
23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25,
25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27,
27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
30, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
31, 31, 31, 31, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32,
32, 32, 32, 32, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 35, 44], [20, 20, 20,
20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25,
25, 26, 26, 26, 26, 26, 26, 25, 25, 25, 25, 24, 24, 24, 23, 23, 24, 24, 24],
[18, 18, 18, 18, 19, 19, 19, 19], [25, 25, 26, 26, 26, 26, 26, 26, 25, 25, 25,
25, 24, 24, 24, 24, 23, 23, 23, 23, 22, 22, 22, 22, 21, 21, 21, 21, 20, 20, 20,
20, 19, 19, 19, 19, 18, 18], [31, 31, 31, 31, 32, 32, 32, 32, 33, 33, 33, 33,
34, 36, 36, 36, 37, 38, 38, 38, 39, 40], [43, 44, 44, 44, 45, 45, 45, 45, 46,
46, 46, 46, 47, 47, 47, 47, 48, 48, 48, 48, 49, 49, 49, 49, 49, 49, 48, 48, 48,
48, 47, 47, 47, 47, 46, 46, 46, 46, 45, 45, 46, 46], [17, 18, 17, 17, 17, 18,
18, 18]]
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