Route Transposition and Phenomenon

Re: Route Transposition and Phenomenon

Postby smokie treats » Sun Jul 16, 2017 8:33 am

Jarlve wrote:Hey smokie,

I have updated my AZdecrypt thread with an example of my latest project. In short, a more universal polyalphabetic solver. If you feel that you have some untranpositions of the 340 which could be correct but mainly hindered by polyalphabetism then you may share them and I will run them through the new solver. It is worth a shot.


Thanks a lot, Jarlve. I will download soon. I am still working on it part time, just not posting as much to avoid redundancy.
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Re: Route Transposition and Phenomenon

Postby Jarlve » Sun Jul 16, 2017 12:02 pm

Okay smokie,

I haven't released it yet, there is just an example of what it can do.

Okay Mr lowe,

Might take a while before I get back with results.
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Re: Route Transposition and Phenomenon

Postby Jarlve » Thu Jul 20, 2017 5:44 am

Mr lowe wrote:Using that update can you run a scytale 15, and 19 through it.

Mr lowe,

My skytale implementation only works with periods that do not have a common divisor with the length of the cipher. For instance, period 15 is divisible by 5 and so is 340. This means that without extra reading rule the transposition will run into itself at one point without having gone through the whole cipher. Another way to accommodate is to increase or decrease the cipher length to a number that does not share factors with 15. 338 or 341. But it is then the question what character is removed, or where a character is added, and that matters allot. I am looking to create a small database of maximum 100 variations of the 340 that could be considered as candidate untranspositions within the period 15/19 hypothesis.

Perhaps you could fashion together a period 15 skytale for the test? And if you have a couple of more things of your own that wouldn't hurt either. And please, anyone else, feel free to contribute.
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Re: Route Transposition and Phenomenon

Postby Mr lowe » Fri Jul 21, 2017 6:34 am

will do jarlve.. got a busy week end coming up.
The more i thought about skytale after making them in a 340 format the less i liked it as it was very large and cumbersome. i think i got a bit over awed because it brought in a very simple means of alignment. Yes it does bring the 19s together nicely but so does rail fence. Maybe it was made (20 rows) or (17 columns) of INDIVIDUAL skytale lines.
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Re: Route Transposition and Phenomenon

Postby Jarlve » Sat Jul 22, 2017 3:48 am

Mr lowe wrote:Maybe it was made (20 rows) or (17 columns) of INDIVIDUAL skytale lines.

Yes, it is a possibilty, though not as many as 17 or 20 sections (multiple inscription rectangles) as that would thoroughly diffuse the period.
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Re: Route Transposition and Phenomenon

Postby Jarlve » Sun Jul 23, 2017 1:39 am

smokie treats wrote:A long time ago I presumed that snake couldn't result in a high count of bigram repeats, but I was wrong.

Here is smokie58. Inscription rectangle is 17 x 20 LRTB, reading "snake" LR and RL alternate rows, TB. Transcription LRTB. 3 polyphones. It wasn't difficult to make. You could have SA, but there will also be a lot of AS, or NE and EN, RE and ER, TI and IT, and a lot of others.

It should be relatively easy to solve. Identify suspected polyphones, untranspose at the suspected period, then mirror alternate rows. Also note there is another spike at a bogus period.

Hey smokie,

Your cipher smokie58 also has a raw ioc of 2708 while the 340 sits at 2236, meaning that repeats are somewhat incomparable. Higher ioc equals more repeats of any kind. Full randomizations of the smokie58 average about 27 bigrams and for the 340 only 20.

I updated the transposition solver to accommodate and it did solve the smokie58, though the score was only 21300 something the plaintext became readable. I currently think that light polyalphabetism of some kind is a good bet and noticed that if you create a perfect cyclic cipher of 340 length and ioc, it only takes about 10% or 34 character randomizations to break the cycles down to 340 level and in some cases also make the cipher unsolvable.

It seems that wildcards/polyphones are prone to create bogus bigram peaks, (probably) due to high frequency symbols leading a life of their own?
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Re: Route Transposition and Phenomenon

Postby Jarlve » Sun Jul 23, 2017 5:01 am

We know that somehow the encoding/cycles look(s) more random in the 340 than in the 408, why and how?

In trying to answer that question (again) I have updated AZdecrypt's encoding null analysis for the next release. It is much clearer, thorough and includes a periodic analysis as well. In the following, results that are above or around 100% may be considered interesting.

Symbols, no symbol stands out, so if any randomization is actual in the symbols it is more spread out or well hidden:

Code: Select all
Symbol randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
H: 97.31% (4)
E: 96.56% (3)
R: 94.35% (8)
>: 94.63% (4)
p: 95.91% (11)
l: 93.50% (7)
^: 93.92% (6)
V: 94.77% (6)
P: 96.48% (3)
k: 96.56% (5)
|: 93.94% (10)
1: 97.09% (3)
L: 96.20% (6)
T: 96.61% (5)
G: 95.18% (6)
2: 94.62% (9)
d: 95.60% (5)
N: 95.77% (5)
+: 95.56% (24)
B: 95.70% (12)
(: 94.47% (7)
#: 96.38% (5)
O: 94.28% (10)
%: 97.73% (2)
D: 94.01% (4)
W: 98.00% (6)
Y: 94.41% (4)
.: 95.43% (6)
<: 95.11% (6)
*: 93.60% (6)
K: 93.11% (7)
f: 94.50% (4)
): 98.08% (5)
y: 95.81% (5)
:: 97.29% (2)
c: 94.66% (10)
M: 92.91% (7)
U: 95.28% (5)
Z: 94.03% (4)
z: 94.27% (9)
J: 95.86% (4)
S: 95.83% (4)
7: 94.91% (3)
8: 95.78% (4)
3: 97.16% (2)
_: 95.61% (3)
9: 95.28% (4)
t: 94.25% (4)
j: 97.90% (2)
5: 96.53% (7)
F: 96.18% (10)
&: 97.02% (2)
4: 96.85% (6)
/: 95.22% (3)
-: 95.34% (5)
C: 96.67% (5)
q: 96.58% (2)
;: 96.13% (3)
X: 96.97% (2)
@: 99.73% (1)
b: 97.38% (3)
A: 98.11% (2)
6: 96.74% (3)
--------------------
Average: 95.74%

Rows, row 14 could be considered as a null:

Code: Select all
Row randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
Row 1: 92.01%
Row 2: 89.85%
Row 3: 89.06%
Row 4: 95.11%
Row 5: 86.16%
Row 6: 95.25%
Row 7: 90.31%
Row 8: 92.80%
Row 9: 91.63%
Row 10: 96.71%
Row 11: 94.81%
Row 12: 96.85%
Row 13: 95.01%
Row 14: 101.26%
Row 15: 87.83%
Row 16: 90.87%
Row 17: 95.59%
Row 18: 97.00%
Row 19: 92.09%
Row 20: 93.72%
--------------------
Average: 93.20%

Columns, nothing stands out:

Code: Select all
Column randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
Column 1: 89.94%
Column 2: 92.94%
Column 3: 90.86%
Column 4: 87.29%
Column 5: 90.85%
Column 6: 83.79%
Column 7: 85.39%
Column 8: 93.03%
Column 9: 90.69%
Column 10: 88.25%
Column 11: 88.89%
Column 12: 90.38%
Column 13: 93.24%
Column 14: 84.51%
Column 15: 86.35%
Column 16: 88.08%
Column 17: 92.70%
--------------------
Average: 89.25%

Periodic, the first fragment over 100% occurs at period 35, offset 21 and may be considered as interesting. Though, as the period goes up, fragments become shorter and outliers start to appear:

Code: Select all
Periodic randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
Period 2:
-  Offset 0: 49.97%
-  Offset 1: 53.09%
Period 3:
-  Offset 0: 60.93%
-  Offset 1: 62.47%
-  Offset 2: 58.56%
Period 4:
-  Offset 0: 64.12%
-  Offset 1: 65.06%
-  Offset 2: 65.89%
-  Offset 3: 66.54%
Period 5:
-  Offset 0: 66.96%
-  Offset 1: 78.34%
-  Offset 2: 71.19%
-  Offset 3: 68.61%
-  Offset 4: 72.11%
Period 6:
-  Offset 0: 74.88%
-  Offset 1: 74.49%
-  Offset 2: 70.46%
-  Offset 3: 73.22%
-  Offset 4: 76.72%
-  Offset 5: 79.80%
Period 7:
-  Offset 0: 78.92%
-  Offset 1: 77.86%
-  Offset 2: 71.66%
-  Offset 3: 71.94%
-  Offset 4: 76.09%
-  Offset 5: 76.12%
-  Offset 6: 80.71%
Period 8:
-  Offset 0: 79.72%
-  Offset 1: 76.62%
-  Offset 2: 76.06%
-  Offset 3: 77.99%
-  Offset 4: 77.26%
-  Offset 5: 81.40%
-  Offset 6: 82.61%
-  Offset 7: 82.43%
Period 9:
-  Offset 0: 80.52%
-  Offset 1: 81.14%
-  Offset 2: 77.72%
-  Offset 3: 84.07%
-  Offset 4: 85.12%
-  Offset 5: 79.20%
-  Offset 6: 80.66%
-  Offset 7: 78.77%
-  Offset 8: 85.20%
Period 10:
-  Offset 0: 80.20%
-  Offset 1: 86.27%
-  Offset 2: 82.89%
-  Offset 3: 87.03%
-  Offset 4: 87.76%
-  Offset 5: 81.05%
-  Offset 6: 88.50%
-  Offset 7: 84.46%
-  Offset 8: 75.92%
-  Offset 9: 80.29%
Period 11:
-  Offset 0: 87.61%
-  Offset 1: 87.96%
-  Offset 2: 85.50%
-  Offset 3: 86.03%
-  Offset 4: 87.50%
-  Offset 5: 77.87%
-  Offset 6: 88.59%
-  Offset 7: 78.92%
-  Offset 8: 78.17%
-  Offset 9: 89.25%
-  Offset 10: 82.78%
Period 12:
-  Offset 0: 80.54%
-  Offset 1: 84.74%
-  Offset 2: 81.18%
-  Offset 3: 82.09%
-  Offset 4: 87.57%
-  Offset 5: 87.23%
-  Offset 6: 89.03%
-  Offset 7: 85.17%
-  Offset 8: 83.26%
-  Offset 9: 87.20%
-  Offset 10: 86.90%
-  Offset 11: 88.44%
Period 13:
-  Offset 0: 93.07%
-  Offset 1: 82.10%
-  Offset 2: 87.53%
-  Offset 3: 84.10%
-  Offset 4: 83.30%
-  Offset 5: 93.44%
-  Offset 6: 85.78%
-  Offset 7: 86.28%
-  Offset 8: 85.64%
-  Offset 9: 83.56%
-  Offset 10: 85.76%
-  Offset 11: 81.83%
-  Offset 12: 84.80%
Period 14:
-  Offset 0: 86.42%
-  Offset 1: 92.89%
-  Offset 2: 84.98%
-  Offset 3: 80.36%
-  Offset 4: 88.56%
-  Offset 5: 90.84%
-  Offset 6: 89.60%
-  Offset 7: 90.76%
-  Offset 8: 84.35%
-  Offset 9: 84.67%
-  Offset 10: 85.67%
-  Offset 11: 84.91%
-  Offset 12: 82.97%
-  Offset 13: 88.70%
Period 15:
-  Offset 0: 88.33%
-  Offset 1: 90.07%
-  Offset 2: 89.36%
-  Offset 3: 89.36%
-  Offset 4: 93.92%
-  Offset 5: 88.62%
-  Offset 6: 90.32%
-  Offset 7: 87.37%
-  Offset 8: 83.74%
-  Offset 9: 84.89%
-  Offset 10: 83.75%
-  Offset 11: 92.46%
-  Offset 12: 86.47%
-  Offset 13: 86.90%
-  Offset 14: 87.39%
Period 16:
-  Offset 0: 88.22%
-  Offset 1: 89.09%
-  Offset 2: 82.73%
-  Offset 3: 90.98%
-  Offset 4: 90.35%
-  Offset 5: 90.67%
-  Offset 6: 87.61%
-  Offset 7: 93.91%
-  Offset 8: 90.63%
-  Offset 9: 83.18%
-  Offset 10: 91.34%
-  Offset 11: 83.60%
-  Offset 12: 84.82%
-  Offset 13: 89.00%
-  Offset 14: 91.92%
-  Offset 15: 85.60%
Period 17:
-  Offset 0: 89.99%
-  Offset 1: 93.06%
-  Offset 2: 90.75%
-  Offset 3: 87.27%
-  Offset 4: 90.97%
-  Offset 5: 83.58%
-  Offset 6: 85.44%
-  Offset 7: 92.85%
-  Offset 8: 90.46%
-  Offset 9: 88.45%
-  Offset 10: 88.92%
-  Offset 11: 90.31%
-  Offset 12: 93.37%
-  Offset 13: 84.58%
-  Offset 14: 86.57%
-  Offset 15: 87.94%
-  Offset 16: 92.74%
Period 18:
-  Offset 0: 90.97%
-  Offset 1: 88.12%
-  Offset 2: 85.40%
-  Offset 3: 88.69%
-  Offset 4: 94.52%
-  Offset 5: 93.44%
-  Offset 6: 87.30%
-  Offset 7: 89.14%
-  Offset 8: 95.17%
-  Offset 9: 84.79%
-  Offset 10: 90.61%
-  Offset 11: 90.02%
-  Offset 12: 93.41%
-  Offset 13: 90.17%
-  Offset 14: 84.91%
-  Offset 15: 91.87%
-  Offset 16: 87.19%
-  Offset 17: 89.78%
Period 19:
-  Offset 0: 90.42%
-  Offset 1: 95.36%
-  Offset 2: 93.00%
-  Offset 3: 85.37%
-  Offset 4: 93.19%
-  Offset 5: 87.78%
-  Offset 6: 95.76%
-  Offset 7: 95.75%
-  Offset 8: 89.32%
-  Offset 9: 89.45%
-  Offset 10: 93.25%
-  Offset 11: 83.76%
-  Offset 12: 80.91%
-  Offset 13: 90.76%
-  Offset 14: 92.46%
-  Offset 15: 90.92%
-  Offset 16: 85.90%
-  Offset 17: 83.36%
-  Offset 18: 97.40%
Period 20:
-  Offset 0: 89.43%
-  Offset 1: 90.34%
-  Offset 2: 90.77%
-  Offset 3: 90.32%
-  Offset 4: 90.73%
-  Offset 5: 91.15%
-  Offset 6: 93.85%
-  Offset 7: 90.06%
-  Offset 8: 85.97%
-  Offset 9: 88.12%
-  Offset 10: 91.13%
-  Offset 11: 93.90%
-  Offset 12: 89.37%
-  Offset 13: 95.68%
-  Offset 14: 94.11%
-  Offset 15: 87.33%
-  Offset 16: 94.33%
-  Offset 17: 92.35%
-  Offset 18: 86.24%
-  Offset 19: 90.78%
Period 21:
-  Offset 0: 94.54%
-  Offset 1: 94.13%
-  Offset 2: 94.44%
-  Offset 3: 90.09%
-  Offset 4: 95.57%
-  Offset 5: 94.39%
-  Offset 6: 92.31%
-  Offset 7: 89.84%
-  Offset 8: 87.49%
-  Offset 9: 87.84%
-  Offset 10: 85.20%
-  Offset 11: 89.32%
-  Offset 12: 87.63%
-  Offset 13: 95.87%
-  Offset 14: 91.66%
-  Offset 15: 94.38%
-  Offset 16: 89.93%
-  Offset 17: 88.06%
-  Offset 18: 88.08%
-  Offset 19: 90.61%
-  Offset 20: 90.75%
Period 22:
-  Offset 0: 94.47%
-  Offset 1: 90.33%
-  Offset 2: 90.75%
-  Offset 3: 89.64%
-  Offset 4: 91.56%
-  Offset 5: 84.34%
-  Offset 6: 93.25%
-  Offset 7: 89.44%
-  Offset 8: 89.00%
-  Offset 9: 96.37%
-  Offset 10: 86.64%
-  Offset 11: 93.34%
-  Offset 12: 96.37%
-  Offset 13: 93.18%
-  Offset 14: 96.21%
-  Offset 15: 95.55%
-  Offset 16: 91.27%
-  Offset 17: 94.30%
-  Offset 18: 88.65%
-  Offset 19: 86.60%
-  Offset 20: 92.11%
-  Offset 21: 93.96%
Period 23:
-  Offset 0: 88.57%
-  Offset 1: 92.69%
-  Offset 2: 93.91%
-  Offset 3: 88.74%
-  Offset 4: 94.45%
-  Offset 5: 89.63%
-  Offset 6: 95.86%
-  Offset 7: 97.86%
-  Offset 8: 89.74%
-  Offset 9: 95.66%
-  Offset 10: 87.67%
-  Offset 11: 93.37%
-  Offset 12: 89.38%
-  Offset 13: 87.34%
-  Offset 14: 88.79%
-  Offset 15: 89.05%
-  Offset 16: 90.13%
-  Offset 17: 88.25%
-  Offset 18: 92.99%
-  Offset 19: 96.59%
-  Offset 20: 92.35%
-  Offset 21: 90.93%
-  Offset 22: 97.78%
Period 24:
-  Offset 0: 90.89%
-  Offset 1: 90.18%
-  Offset 2: 87.06%
-  Offset 3: 88.00%
-  Offset 4: 92.53%
-  Offset 5: 91.15%
-  Offset 6: 92.71%
-  Offset 7: 89.54%
-  Offset 8: 90.28%
-  Offset 9: 92.71%
-  Offset 10: 90.43%
-  Offset 11: 92.02%
-  Offset 12: 88.54%
-  Offset 13: 93.43%
-  Offset 14: 91.98%
-  Offset 15: 93.42%
-  Offset 16: 94.08%
-  Offset 17: 95.44%
-  Offset 18: 95.34%
-  Offset 19: 95.15%
-  Offset 20: 92.24%
-  Offset 21: 93.66%
-  Offset 22: 95.06%
-  Offset 23: 96.14%
Period 25:
-  Offset 0: 88.35%
-  Offset 1: 88.73%
-  Offset 2: 93.21%
-  Offset 3: 91.09%
-  Offset 4: 91.82%
-  Offset 5: 97.50%
-  Offset 6: 95.55%
-  Offset 7: 91.19%
-  Offset 8: 94.10%
-  Offset 9: 91.26%
-  Offset 10: 89.96%
-  Offset 11: 93.76%
-  Offset 12: 92.13%
-  Offset 13: 93.65%
-  Offset 14: 95.67%
-  Offset 15: 89.42%
-  Offset 16: 94.63%
-  Offset 17: 91.49%
-  Offset 18: 92.17%
-  Offset 19: 92.51%
-  Offset 20: 95.62%
-  Offset 21: 97.00%
-  Offset 22: 91.46%
-  Offset 23: 87.39%
-  Offset 24: 94.01%
Period 26:
-  Offset 0: 97.01%
-  Offset 1: 89.78%
-  Offset 2: 92.60%
-  Offset 3: 89.07%
-  Offset 4: 92.86%
-  Offset 5: 98.12%
-  Offset 6: 92.69%
-  Offset 7: 93.36%
-  Offset 8: 86.97%
-  Offset 9: 92.07%
-  Offset 10: 90.21%
-  Offset 11: 90.34%
-  Offset 12: 91.88%
-  Offset 13: 95.53%
-  Offset 14: 92.49%
-  Offset 15: 93.44%
-  Offset 16: 96.06%
-  Offset 17: 88.86%
-  Offset 18: 97.06%
-  Offset 19: 92.06%
-  Offset 20: 90.85%
-  Offset 21: 97.39%
-  Offset 22: 90.23%
-  Offset 23: 94.60%
-  Offset 24: 91.59%
-  Offset 25: 91.13%
Period 27:
-  Offset 0: 83.21%
-  Offset 1: 92.29%
-  Offset 2: 89.86%
-  Offset 3: 89.65%
-  Offset 4: 93.46%
-  Offset 5: 91.43%
-  Offset 6: 96.94%
-  Offset 7: 93.54%
-  Offset 8: 94.15%
-  Offset 9: 95.45%
-  Offset 10: 94.38%
-  Offset 11: 90.39%
-  Offset 12: 92.81%
-  Offset 13: 95.80%
-  Offset 14: 89.68%
-  Offset 15: 88.14%
-  Offset 16: 91.12%
-  Offset 17: 96.58%
-  Offset 18: 96.59%
-  Offset 19: 91.91%
-  Offset 20: 94.13%
-  Offset 21: 99.84%
-  Offset 22: 93.71%
-  Offset 23: 98.22%
-  Offset 24: 90.86%
-  Offset 25: 91.16%
-  Offset 26: 92.55%
Period 28:
-  Offset 0: 92.74%
-  Offset 1: 93.60%
-  Offset 2: 93.83%
-  Offset 3: 92.74%
-  Offset 4: 92.94%
-  Offset 5: 95.27%
-  Offset 6: 94.87%
-  Offset 7: 93.54%
-  Offset 8: 91.70%
-  Offset 9: 94.85%
-  Offset 10: 95.50%
-  Offset 11: 89.17%
-  Offset 12: 94.18%
-  Offset 13: 92.62%
-  Offset 14: 94.21%
-  Offset 15: 98.05%
-  Offset 16: 91.58%
-  Offset 17: 85.84%
-  Offset 18: 95.33%
-  Offset 19: 95.67%
-  Offset 20: 95.52%
-  Offset 21: 95.75%
-  Offset 22: 91.47%
-  Offset 23: 88.55%
-  Offset 24: 89.14%
-  Offset 25: 95.99%
-  Offset 26: 87.74%
-  Offset 27: 95.24%
Period 29:
-  Offset 0: 95.70%
-  Offset 1: 95.45%
-  Offset 2: 93.27%
-  Offset 3: 95.40%
-  Offset 4: 91.83%
-  Offset 5: 96.05%
-  Offset 6: 91.72%
-  Offset 7: 92.28%
-  Offset 8: 89.86%
-  Offset 9: 95.88%
-  Offset 10: 93.96%
-  Offset 11: 89.58%
-  Offset 12: 91.46%
-  Offset 13: 92.41%
-  Offset 14: 94.71%
-  Offset 15: 93.23%
-  Offset 16: 90.96%
-  Offset 17: 96.93%
-  Offset 18: 95.55%
-  Offset 19: 87.51%
-  Offset 20: 94.00%
-  Offset 21: 93.47%
-  Offset 22: 92.18%
-  Offset 23: 94.05%
-  Offset 24: 96.86%
-  Offset 25: 91.77%
-  Offset 26: 92.08%
-  Offset 27: 93.84%
-  Offset 28: 93.20%
Period 30:
-  Offset 0: 91.88%
-  Offset 1: 96.43%
-  Offset 2: 90.83%
-  Offset 3: 94.68%
-  Offset 4: 97.74%
-  Offset 5: 91.92%
-  Offset 6: 97.29%
-  Offset 7: 92.77%
-  Offset 8: 84.76%
-  Offset 9: 91.96%
-  Offset 10: 92.77%
-  Offset 11: 95.00%
-  Offset 12: 94.24%
-  Offset 13: 92.34%
-  Offset 14: 94.84%
-  Offset 15: 95.96%
-  Offset 16: 92.55%
-  Offset 17: 98.32%
-  Offset 18: 94.09%
-  Offset 19: 94.90%
-  Offset 20: 95.81%
-  Offset 21: 92.61%
-  Offset 22: 94.30%
-  Offset 23: 97.91%
-  Offset 24: 91.60%
-  Offset 25: 90.86%
-  Offset 26: 97.49%
-  Offset 27: 91.68%
-  Offset 28: 93.77%
-  Offset 29: 91.22%
Period 31:
-  Offset 0: 91.91%
-  Offset 1: 95.06%
-  Offset 2: 90.01%
-  Offset 3: 94.33%
-  Offset 4: 91.12%
-  Offset 5: 88.56%
-  Offset 6: 93.45%
-  Offset 7: 97.13%
-  Offset 8: 96.68%
-  Offset 9: 94.85%
-  Offset 10: 93.35%
-  Offset 11: 92.66%
-  Offset 12: 97.60%
-  Offset 13: 93.07%
-  Offset 14: 96.18%
-  Offset 15: 91.95%
-  Offset 16: 99.39%
-  Offset 17: 93.82%
-  Offset 18: 90.75%
-  Offset 19: 91.70%
-  Offset 20: 93.18%
-  Offset 21: 91.90%
-  Offset 22: 93.74%
-  Offset 23: 88.53%
-  Offset 24: 92.75%
-  Offset 25: 95.50%
-  Offset 26: 95.57%
-  Offset 27: 98.90%
-  Offset 28: 96.70%
-  Offset 29: 94.12%
-  Offset 30: 91.32%
Period 32:
-  Offset 0: 95.47%
-  Offset 1: 97.59%
-  Offset 2: 90.61%
-  Offset 3: 97.82%
-  Offset 4: 91.08%
-  Offset 5: 94.03%
-  Offset 6: 95.18%
-  Offset 7: 95.48%
-  Offset 8: 95.90%
-  Offset 9: 88.82%
-  Offset 10: 95.27%
-  Offset 11: 96.38%
-  Offset 12: 92.99%
-  Offset 13: 93.39%
-  Offset 14: 92.44%
-  Offset 15: 90.06%
-  Offset 16: 92.23%
-  Offset 17: 91.49%
-  Offset 18: 92.07%
-  Offset 19: 93.02%
-  Offset 20: 98.49%
-  Offset 21: 95.43%
-  Offset 22: 92.99%
-  Offset 23: 97.71%
-  Offset 24: 94.14%
-  Offset 25: 96.99%
-  Offset 26: 95.07%
-  Offset 27: 87.14%
-  Offset 28: 90.17%
-  Offset 29: 95.05%
-  Offset 30: 99.74%
-  Offset 31: 94.38%
Period 33:
-  Offset 0: 97.21%
-  Offset 1: 94.70%
-  Offset 2: 96.84%
-  Offset 3: 90.96%
-  Offset 4: 95.02%
-  Offset 5: 91.45%
-  Offset 6: 95.54%
-  Offset 7: 89.80%
-  Offset 8: 87.62%
-  Offset 9: 93.33%
-  Offset 10: 93.10%
-  Offset 11: 92.89%
-  Offset 12: 95.15%
-  Offset 13: 91.74%
-  Offset 14: 97.77%
-  Offset 15: 93.12%
-  Offset 16: 92.84%
-  Offset 17: 94.25%
-  Offset 18: 93.83%
-  Offset 19: 92.03%
-  Offset 20: 94.63%
-  Offset 21: 95.70%
-  Offset 22: 95.33%
-  Offset 23: 97.15%
-  Offset 24: 94.33%
-  Offset 25: 96.55%
-  Offset 26: 98.73%
-  Offset 27: 90.53%
-  Offset 28: 98.04%
-  Offset 29: 93.76%
-  Offset 30: 95.18%
-  Offset 31: 98.63%
-  Offset 32: 91.59%
Period 34:
-  Offset 0: 94.99%
-  Offset 1: 93.49%
-  Offset 2: 91.00%
-  Offset 3: 90.90%
-  Offset 4: 93.82%
-  Offset 5: 89.28%
-  Offset 6: 87.58%
-  Offset 7: 97.59%
-  Offset 8: 94.91%
-  Offset 9: 93.49%
-  Offset 10: 93.06%
-  Offset 11: 95.70%
-  Offset 12: 96.25%
-  Offset 13: 88.87%
-  Offset 14: 93.76%
-  Offset 15: 93.97%
-  Offset 16: 94.40%
-  Offset 17: 93.79%
-  Offset 18: 98.75%
-  Offset 19: 98.39%
-  Offset 20: 95.86%
-  Offset 21: 96.35%
-  Offset 22: 94.25%
-  Offset 23: 97.13%
-  Offset 24: 95.43%
-  Offset 25: 94.96%
-  Offset 26: 94.77%
-  Offset 27: 94.60%
-  Offset 28: 93.88%
-  Offset 29: 96.44%
-  Offset 30: 94.25%
-  Offset 31: 92.42%
-  Offset 32: 93.78%
-  Offset 33: 98.11%
Period 35:
-  Offset 0: 91.62%
-  Offset 1: 90.07%
-  Offset 2: 92.80%
-  Offset 3: 87.72%
-  Offset 4: 97.32%
-  Offset 5: 95.87%
-  Offset 6: 93.66%
-  Offset 7: 94.57%
-  Offset 8: 95.83%
-  Offset 9: 91.76%
-  Offset 10: 92.53%
-  Offset 11: 94.40%
-  Offset 12: 97.25%
-  Offset 13: 95.79%
-  Offset 14: 95.25%
-  Offset 15: 96.25%
-  Offset 16: 96.23%
-  Offset 17: 93.72%
-  Offset 18: 98.02%
-  Offset 19: 92.09%
-  Offset 20: 96.09%
-  Offset 21: 101.31%
-  Offset 22: 94.68%
-  Offset 23: 94.38%
-  Offset 24: 91.45%
-  Offset 25: 91.18%
-  Offset 26: 96.75%
-  Offset 27: 96.28%
-  Offset 28: 95.06%
-  Offset 29: 96.69%
-  Offset 30: 93.69%
-  Offset 31: 97.15%
-  Offset 32: 91.46%
-  Offset 33: 90.13%
-  Offset 34: 97.04%
Period 36:
-  Offset 0: 94.14%
-  Offset 1: 91.20%
-  Offset 2: 92.65%
-  Offset 3: 95.20%
-  Offset 4: 94.55%
-  Offset 5: 95.68%
-  Offset 6: 94.37%
-  Offset 7: 93.42%
-  Offset 8: 99.26%
-  Offset 9: 92.38%
-  Offset 10: 95.44%
-  Offset 11: 96.98%
-  Offset 12: 95.28%
-  Offset 13: 95.86%
-  Offset 14: 92.98%
-  Offset 15: 92.93%
-  Offset 16: 96.85%
-  Offset 17: 96.60%
-  Offset 18: 96.07%
-  Offset 19: 96.79%
-  Offset 20: 90.94%
-  Offset 21: 93.26%
-  Offset 22: 99.97%
-  Offset 23: 98.06%
-  Offset 24: 90.51%
-  Offset 25: 94.98%
-  Offset 26: 95.78%
-  Offset 27: 91.43%
-  Offset 28: 94.95%
-  Offset 29: 93.71%
-  Offset 30: 97.71%
-  Offset 31: 93.42%
-  Offset 32: 91.85%
-  Offset 33: 98.45%
-  Offset 34: 89.80%
-  Offset 35: 92.95%
Period 37:
-  Offset 0: 93.42%
-  Offset 1: 90.95%
-  Offset 2: 95.30%
-  Offset 3: 94.60%
-  Offset 4: 93.33%
-  Offset 5: 97.13%
-  Offset 6: 95.88%
-  Offset 7: 95.89%
-  Offset 8: 96.81%
-  Offset 9: 96.37%
-  Offset 10: 95.58%
-  Offset 11: 95.60%
-  Offset 12: 95.52%
-  Offset 13: 91.37%
-  Offset 14: 96.44%
-  Offset 15: 99.14%
-  Offset 16: 90.71%
-  Offset 17: 93.10%
-  Offset 18: 93.52%
-  Offset 19: 92.97%
-  Offset 20: 99.03%
-  Offset 21: 97.89%
-  Offset 22: 98.24%
-  Offset 23: 94.17%
-  Offset 24: 90.80%
-  Offset 25: 94.15%
-  Offset 26: 95.96%
-  Offset 27: 95.50%
-  Offset 28: 95.00%
-  Offset 29: 94.18%
-  Offset 30: 96.19%
-  Offset 31: 92.59%
-  Offset 32: 91.86%
-  Offset 33: 94.05%
-  Offset 34: 96.74%
-  Offset 35: 98.14%
-  Offset 36: 89.24%
Period 38:
-  Offset 0: 97.03%
-  Offset 1: 97.60%
-  Offset 2: 95.91%
-  Offset 3: 91.32%
-  Offset 4: 97.31%
-  Offset 5: 93.88%
-  Offset 6: 98.24%
-  Offset 7: 98.19%
-  Offset 8: 92.89%
-  Offset 9: 95.13%
-  Offset 10: 95.87%
-  Offset 11: 90.86%
-  Offset 12: 89.34%
-  Offset 13: 97.18%
-  Offset 14: 95.72%
-  Offset 15: 93.84%
-  Offset 16: 94.09%
-  Offset 17: 94.27%
-  Offset 18: 100.81%
-  Offset 19: 93.32%
-  Offset 20: 98.04%
-  Offset 21: 96.46%
-  Offset 22: 92.81%
-  Offset 23: 95.17%
-  Offset 24: 92.79%
-  Offset 25: 97.65%
-  Offset 26: 97.32%
-  Offset 27: 95.44%
-  Offset 28: 93.56%
-  Offset 29: 97.41%
-  Offset 30: 91.33%
-  Offset 31: 90.41%
-  Offset 32: 93.16%
-  Offset 33: 96.33%
-  Offset 34: 96.97%
-  Offset 35: 90.82%
-  Offset 36: 88.28%
-  Offset 37: 98.27%
Period 39:
-  Offset 0: 99.62%
-  Offset 1: 91.35%
-  Offset 2: 96.22%
-  Offset 3: 93.00%
-  Offset 4: 95.06%
-  Offset 5: 99.09%
-  Offset 6: 90.65%
-  Offset 7: 94.60%
-  Offset 8: 94.66%
-  Offset 9: 94.43%
-  Offset 10: 94.75%
-  Offset 11: 92.56%
-  Offset 12: 93.21%
-  Offset 13: 95.35%
-  Offset 14: 96.47%
-  Offset 15: 95.26%
-  Offset 16: 99.75%
-  Offset 17: 93.44%
-  Offset 18: 100.20%
-  Offset 19: 97.95%
-  Offset 20: 93.45%
-  Offset 21: 96.44%
-  Offset 22: 94.00%
-  Offset 23: 94.81%
-  Offset 24: 91.86%
-  Offset 25: 94.30%
-  Offset 26: 97.45%
-  Offset 27: 94.39%
-  Offset 28: 94.53%
-  Offset 29: 91.71%
-  Offset 30: 92.68%
-  Offset 31: 95.99%
-  Offset 32: 95.78%
-  Offset 33: 96.23%
-  Offset 34: 92.70%
-  Offset 35: 93.15%
-  Offset 36: 95.33%
-  Offset 37: 96.14%
-  Offset 38: 96.37%
Period 40:
-  Offset 0: 95.46%
-  Offset 1: 92.32%
-  Offset 2: 95.60%
-  Offset 3: 91.94%
-  Offset 4: 92.67%
-  Offset 5: 95.60%
-  Offset 6: 97.83%
-  Offset 7: 95.42%
-  Offset 8: 95.19%
-  Offset 9: 96.44%
-  Offset 10: 94.78%
-  Offset 11: 96.51%
-  Offset 12: 97.75%
-  Offset 13: 96.24%
-  Offset 14: 97.25%
-  Offset 15: 93.64%
-  Offset 16: 97.73%
-  Offset 17: 94.76%
-  Offset 18: 88.46%
-  Offset 19: 95.95%
-  Offset 20: 93.85%
-  Offset 21: 97.75%
-  Offset 22: 94.76%
-  Offset 23: 97.89%
-  Offset 24: 97.44%
-  Offset 25: 94.66%
-  Offset 26: 96.06%
-  Offset 27: 94.31%
-  Offset 28: 91.99%
-  Offset 29: 91.05%
-  Offset 30: 94.95%
-  Offset 31: 97.53%
-  Offset 32: 90.80%
-  Offset 33: 99.06%
-  Offset 34: 96.85%
-  Offset 35: 94.58%
-  Offset 36: 96.30%
-  Offset 37: 97.48%
-  Offset 38: 96.46%
-  Offset 39: 94.51%
Period 41:
-  Offset 0: 90.23%
-  Offset 1: 96.25%
-  Offset 2: 93.09%
-  Offset 3: 99.90%
-  Offset 4: 96.45%
-  Offset 5: 95.79%
-  Offset 6: 98.91%
-  Offset 7: 96.02%
-  Offset 8: 98.30%
-  Offset 9: 94.87%
-  Offset 10: 92.15%
-  Offset 11: 97.73%
-  Offset 12: 94.47%
-  Offset 13: 90.28%
-  Offset 14: 95.03%
-  Offset 15: 93.34%
-  Offset 16: 93.75%
-  Offset 17: 96.49%
-  Offset 18: 96.77%
-  Offset 19: 94.96%
-  Offset 20: 99.18%
-  Offset 21: 95.27%
-  Offset 22: 96.45%
-  Offset 23: 93.96%
-  Offset 24: 93.76%
-  Offset 25: 91.35%
-  Offset 26: 93.42%
-  Offset 27: 97.37%
-  Offset 28: 93.22%
-  Offset 29: 95.98%
-  Offset 30: 97.41%
-  Offset 31: 99.03%
-  Offset 32: 91.79%
-  Offset 33: 96.66%
-  Offset 34: 99.61%
-  Offset 35: 94.00%
-  Offset 36: 92.29%
-  Offset 37: 92.92%
-  Offset 38: 92.90%
-  Offset 39: 100.06%
-  Offset 40: 92.33%
Period 42:
-  Offset 0: 96.81%
-  Offset 1: 98.67%
-  Offset 2: 97.43%
-  Offset 3: 94.43%
-  Offset 4: 99.67%
-  Offset 5: 100.17%
-  Offset 6: 95.27%
-  Offset 7: 94.75%
-  Offset 8: 90.46%
-  Offset 9: 90.84%
-  Offset 10: 95.75%
-  Offset 11: 93.99%
-  Offset 12: 94.08%
-  Offset 13: 97.73%
-  Offset 14: 95.51%
-  Offset 15: 96.32%
-  Offset 16: 94.61%
-  Offset 17: 94.72%
-  Offset 18: 92.95%
-  Offset 19: 97.42%
-  Offset 20: 96.60%
-  Offset 21: 97.65%
-  Offset 22: 95.30%
-  Offset 23: 97.56%
-  Offset 24: 95.11%
-  Offset 25: 95.93%
-  Offset 26: 94.64%
-  Offset 27: 97.55%
-  Offset 28: 94.50%
-  Offset 29: 96.66%
-  Offset 30: 96.30%
-  Offset 31: 88.48%
-  Offset 32: 94.94%
-  Offset 33: 92.89%
-  Offset 34: 97.57%
-  Offset 35: 97.04%
-  Offset 36: 97.66%
-  Offset 37: 95.23%
-  Offset 38: 92.93%
-  Offset 39: 94.62%
-  Offset 40: 93.25%
-  Offset 41: 93.99%
Period 43:
-  Offset 0: 94.77%
-  Offset 1: 93.45%
-  Offset 2: 97.60%
-  Offset 3: 93.26%
-  Offset 4: 95.16%
-  Offset 5: 97.98%
-  Offset 6: 91.37%
-  Offset 7: 92.86%
-  Offset 8: 95.82%
-  Offset 9: 95.93%
-  Offset 10: 97.42%
-  Offset 11: 90.33%
-  Offset 12: 94.93%
-  Offset 13: 93.90%
-  Offset 14: 94.31%
-  Offset 15: 96.99%
-  Offset 16: 99.04%
-  Offset 17: 95.23%
-  Offset 18: 99.76%
-  Offset 19: 99.50%
-  Offset 20: 92.39%
-  Offset 21: 97.97%
-  Offset 22: 94.76%
-  Offset 23: 99.16%
-  Offset 24: 96.21%
-  Offset 25: 91.40%
-  Offset 26: 91.72%
-  Offset 27: 95.62%
-  Offset 28: 93.58%
-  Offset 29: 94.84%
-  Offset 30: 95.32%
-  Offset 31: 95.92%
-  Offset 32: 96.19%
-  Offset 33: 95.69%
-  Offset 34: 99.30%
-  Offset 35: 92.98%
-  Offset 36: 92.60%
-  Offset 37: 94.22%
-  Offset 38: 93.41%
-  Offset 39: 97.71%
-  Offset 40: 99.37%
-  Offset 41: 96.65%
-  Offset 42: 98.01%
Period 44:
-  Offset 0: 95.91%
-  Offset 1: 94.86%
-  Offset 2: 95.63%
-  Offset 3: 96.86%
-  Offset 4: 94.12%
-  Offset 5: 91.42%
-  Offset 6: 96.98%
-  Offset 7: 93.41%
-  Offset 8: 94.13%
-  Offset 9: 99.91%
-  Offset 10: 90.86%
-  Offset 11: 97.28%
-  Offset 12: 97.84%
-  Offset 13: 97.70%
-  Offset 14: 99.93%
-  Offset 15: 97.35%
-  Offset 16: 94.85%
-  Offset 17: 95.80%
-  Offset 18: 93.85%
-  Offset 19: 94.31%
-  Offset 20: 95.06%
-  Offset 21: 99.75%
-  Offset 22: 98.02%
-  Offset 23: 94.65%
-  Offset 24: 94.38%
-  Offset 25: 93.04%
-  Offset 26: 96.58%
-  Offset 27: 91.87%
-  Offset 28: 96.20%
-  Offset 29: 96.28%
-  Offset 30: 94.56%
-  Offset 31: 96.25%
-  Offset 32: 94.67%
-  Offset 33: 95.65%
-  Offset 34: 99.03%
-  Offset 35: 95.09%
-  Offset 36: 95.99%
-  Offset 37: 98.23%
-  Offset 38: 93.52%
-  Offset 39: 99.03%
-  Offset 40: 94.28%
-  Offset 41: 91.22%
-  Offset 42: 96.27%
-  Offset 43: 95.57%
Period 45:
-  Offset 0: 93.70%
-  Offset 1: 94.51%
-  Offset 2: 96.85%
-  Offset 3: 95.81%
-  Offset 4: 98.16%
-  Offset 5: 92.75%
-  Offset 6: 97.31%
-  Offset 7: 96.29%
-  Offset 8: 94.43%
-  Offset 9: 97.45%
-  Offset 10: 95.03%
-  Offset 11: 98.33%
-  Offset 12: 96.76%
-  Offset 13: 97.58%
-  Offset 14: 95.91%
-  Offset 15: 93.42%
-  Offset 16: 95.16%
-  Offset 17: 94.70%
-  Offset 18: 96.70%
-  Offset 19: 98.34%
-  Offset 20: 95.40%
-  Offset 21: 96.68%
-  Offset 22: 93.85%
-  Offset 23: 96.23%
-  Offset 24: 94.45%
-  Offset 25: 93.95%
-  Offset 26: 98.26%
-  Offset 27: 93.39%
-  Offset 28: 94.43%
-  Offset 29: 91.90%
-  Offset 30: 100.19%
-  Offset 31: 99.63%
-  Offset 32: 97.14%
-  Offset 33: 95.73%
-  Offset 34: 96.09%
-  Offset 35: 98.40%
-  Offset 36: 93.06%
-  Offset 37: 95.61%
-  Offset 38: 92.39%
-  Offset 39: 91.97%
-  Offset 40: 94.59%
-  Offset 41: 95.48%
-  Offset 42: 95.11%
-  Offset 43: 94.67%
-  Offset 44: 98.06%
Period 46:
-  Offset 0: 95.74%
-  Offset 1: 96.02%
-  Offset 2: 97.28%
-  Offset 3: 94.28%
-  Offset 4: 96.86%
-  Offset 5: 94.65%
-  Offset 6: 96.38%
-  Offset 7: 98.70%
-  Offset 8: 93.56%
-  Offset 9: 99.19%
-  Offset 10: 94.12%
-  Offset 11: 96.43%
-  Offset 12: 98.59%
-  Offset 13: 92.67%
-  Offset 14: 94.70%
-  Offset 15: 96.48%
-  Offset 16: 94.63%
-  Offset 17: 94.29%
-  Offset 18: 98.22%
-  Offset 19: 98.72%
-  Offset 20: 94.41%
-  Offset 21: 94.24%
-  Offset 22: 98.06%
-  Offset 23: 92.66%
-  Offset 24: 96.06%
-  Offset 25: 96.52%
-  Offset 26: 93.81%
-  Offset 27: 96.73%
-  Offset 28: 94.67%
-  Offset 29: 99.85%
-  Offset 30: 99.20%
-  Offset 31: 95.57%
-  Offset 32: 96.12%
-  Offset 33: 94.00%
-  Offset 34: 96.66%
-  Offset 35: 90.38%
-  Offset 36: 91.65%
-  Offset 37: 93.94%
-  Offset 38: 92.17%
-  Offset 39: 95.06%
-  Offset 40: 93.67%
-  Offset 41: 94.73%
-  Offset 42: 97.99%
-  Offset 43: 97.98%
-  Offset 44: 97.52%
-  Offset 45: 99.47%
Period 47:
-  Offset 0: 99.73%
-  Offset 1: 92.39%
-  Offset 2: 97.54%
-  Offset 3: 96.34%
-  Offset 4: 94.21%
-  Offset 5: 97.23%
-  Offset 6: 94.18%
-  Offset 7: 96.16%
-  Offset 8: 95.19%
-  Offset 9: 97.45%
-  Offset 10: 96.49%
-  Offset 11: 97.89%
-  Offset 12: 95.17%
-  Offset 13: 89.71%
-  Offset 14: 97.83%
-  Offset 15: 96.45%
-  Offset 16: 95.04%
-  Offset 17: 97.15%
-  Offset 18: 94.39%
-  Offset 19: 97.80%
-  Offset 20: 96.70%
-  Offset 21: 95.32%
-  Offset 22: 98.66%
-  Offset 23: 93.81%
-  Offset 24: 97.47%
-  Offset 25: 97.38%
-  Offset 26: 95.62%
-  Offset 27: 95.03%
-  Offset 28: 98.85%
-  Offset 29: 94.52%
-  Offset 30: 91.80%
-  Offset 31: 96.86%
-  Offset 32: 93.00%
-  Offset 33: 95.92%
-  Offset 34: 87.94%
-  Offset 35: 93.02%
-  Offset 36: 97.20%
-  Offset 37: 91.24%
-  Offset 38: 96.89%
-  Offset 39: 99.23%
-  Offset 40: 96.89%
-  Offset 41: 96.21%
-  Offset 42: 97.79%
-  Offset 43: 95.44%
-  Offset 44: 99.45%
-  Offset 45: 97.05%
-  Offset 46: 97.70%
Period 48:
-  Offset 0: 95.71%
-  Offset 1: 95.98%
-  Offset 2: 90.49%
-  Offset 3: 94.93%
-  Offset 4: 99.60%
-  Offset 5: 97.89%
-  Offset 6: 95.28%
-  Offset 7: 96.40%
-  Offset 8: 96.72%
-  Offset 9: 95.76%
-  Offset 10: 95.11%
-  Offset 11: 93.60%
-  Offset 12: 93.95%
-  Offset 13: 97.04%
-  Offset 14: 96.96%
-  Offset 15: 94.27%
-  Offset 16: 96.56%
-  Offset 17: 98.39%
-  Offset 18: 96.66%
-  Offset 19: 98.17%
-  Offset 20: 95.48%
-  Offset 21: 95.24%
-  Offset 22: 97.45%
-  Offset 23: 98.78%
-  Offset 24: 95.44%
-  Offset 25: 93.66%
-  Offset 26: 96.65%
-  Offset 27: 92.63%
-  Offset 28: 92.97%
-  Offset 29: 93.06%
-  Offset 30: 97.18%
-  Offset 31: 92.67%
-  Offset 32: 93.22%
-  Offset 33: 94.44%
-  Offset 34: 95.07%
-  Offset 35: 97.67%
-  Offset 36: 94.26%
-  Offset 37: 96.34%
-  Offset 38: 94.60%
-  Offset 39: 98.83%
-  Offset 40: 97.61%
-  Offset 41: 96.96%
-  Offset 42: 98.64%
-  Offset 43: 96.52%
-  Offset 44: 96.35%
-  Offset 45: 98.12%
-  Offset 46: 97.10%
-  Offset 47: 97.39%
Period 49:
-  Offset 0: 94.21%
-  Offset 1: 97.19%
-  Offset 2: 91.87%
-  Offset 3: 93.64%
-  Offset 4: 100.68%
-  Offset 5: 92.61%
-  Offset 6: 97.26%
-  Offset 7: 99.26%
-  Offset 8: 91.44%
-  Offset 9: 97.33%
-  Offset 10: 95.00%
-  Offset 11: 95.05%
-  Offset 12: 99.35%
-  Offset 13: 93.80%
-  Offset 14: 95.67%
-  Offset 15: 98.68%
-  Offset 16: 97.09%
-  Offset 17: 93.84%
-  Offset 18: 97.28%
-  Offset 19: 96.18%
-  Offset 20: 96.73%
-  Offset 21: 96.87%
-  Offset 22: 96.10%
-  Offset 23: 97.51%
-  Offset 24: 91.55%
-  Offset 25: 91.49%
-  Offset 26: 94.36%
-  Offset 27: 95.27%
-  Offset 28: 97.67%
-  Offset 29: 94.28%
-  Offset 30: 94.31%
-  Offset 31: 94.27%
-  Offset 32: 90.28%
-  Offset 33: 97.04%
-  Offset 34: 99.64%
-  Offset 35: 96.36%
-  Offset 36: 98.43%
-  Offset 37: 97.63%
-  Offset 38: 95.42%
-  Offset 39: 97.62%
-  Offset 40: 95.81%
-  Offset 41: 94.25%
-  Offset 42: 98.13%
-  Offset 43: 97.57%
-  Offset 44: 93.80%
-  Offset 45: 98.53%
-  Offset 46: 97.65%
-  Offset 47: 96.54%
-  Offset 48: 100.32%
Period 50:
-  Offset 0: 93.20%
-  Offset 1: 91.34%
-  Offset 2: 97.67%
-  Offset 3: 98.43%
-  Offset 4: 95.70%
-  Offset 5: 97.94%
-  Offset 6: 98.07%
-  Offset 7: 95.45%
-  Offset 8: 94.44%
-  Offset 9: 93.94%
-  Offset 10: 95.39%
-  Offset 11: 97.78%
-  Offset 12: 94.61%
-  Offset 13: 97.67%
-  Offset 14: 96.11%
-  Offset 15: 94.47%
-  Offset 16: 97.54%
-  Offset 17: 97.36%
-  Offset 18: 94.89%
-  Offset 19: 91.59%
-  Offset 20: 97.85%
-  Offset 21: 98.02%
-  Offset 22: 96.29%
-  Offset 23: 92.02%
-  Offset 24: 96.25%
-  Offset 25: 95.23%
-  Offset 26: 97.04%
-  Offset 27: 95.75%
-  Offset 28: 92.34%
-  Offset 29: 95.24%
-  Offset 30: 98.91%
-  Offset 31: 97.07%
-  Offset 32: 96.24%
-  Offset 33: 99.61%
-  Offset 34: 97.00%
-  Offset 35: 93.93%
-  Offset 36: 95.73%
-  Offset 37: 97.03%
-  Offset 38: 95.75%
-  Offset 39: 99.06%
-  Offset 40: 94.68%
-  Offset 41: 96.76%
-  Offset 42: 93.59%
-  Offset 43: 97.30%
-  Offset 44: 100.67%
-  Offset 45: 97.36%
-  Offset 46: 99.12%
-  Offset 47: 96.04%
-  Offset 48: 94.60%
-  Offset 49: 97.64%
Period 51:
-  Offset 0: 97.49%
-  Offset 1: 98.27%
-  Offset 2: 99.25%
-  Offset 3: 91.03%
-  Offset 4: 95.60%
-  Offset 5: 95.79%
-  Offset 6: 91.74%
-  Offset 7: 100.66%
-  Offset 8: 97.88%
-  Offset 9: 93.22%
-  Offset 10: 93.81%
-  Offset 11: 97.43%
-  Offset 12: 98.66%
-  Offset 13: 93.18%
-  Offset 14: 94.41%
-  Offset 15: 96.03%
-  Offset 16: 97.31%
-  Offset 17: 93.76%
-  Offset 18: 97.22%
-  Offset 19: 96.97%
-  Offset 20: 97.64%
-  Offset 21: 95.51%
-  Offset 22: 93.10%
-  Offset 23: 94.76%
-  Offset 24: 99.19%
-  Offset 25: 95.81%
-  Offset 26: 95.01%
-  Offset 27: 97.01%
-  Offset 28: 92.88%
-  Offset 29: 97.85%
-  Offset 30: 97.91%
-  Offset 31: 95.87%
-  Offset 32: 97.01%
-  Offset 33: 96.57%
-  Offset 34: 97.45%
-  Offset 35: 97.10%
-  Offset 36: 93.23%
-  Offset 37: 97.53%
-  Offset 38: 98.10%
-  Offset 39: 95.65%
-  Offset 40: 97.47%
-  Offset 41: 92.97%
-  Offset 42: 96.31%
-  Offset 43: 99.74%
-  Offset 44: 96.89%
-  Offset 45: 99.06%
-  Offset 46: 96.91%
-  Offset 47: 92.12%
-  Offset 48: 95.39%
-  Offset 49: 94.98%
-  Offset 50: 98.64%
Period 52:
-  Offset 0: 97.72%
-  Offset 1: 94.31%
-  Offset 2: 93.67%
-  Offset 3: 93.92%
-  Offset 4: 95.62%
-  Offset 5: 99.79%
-  Offset 6: 100.73%
-  Offset 7: 95.45%
-  Offset 8: 89.79%
-  Offset 9: 95.53%
-  Offset 10: 94.61%
-  Offset 11: 93.10%
-  Offset 12: 97.61%
-  Offset 13: 96.84%
-  Offset 14: 98.16%
-  Offset 15: 96.70%
-  Offset 16: 99.43%
-  Offset 17: 93.36%
-  Offset 18: 97.39%
-  Offset 19: 97.35%
-  Offset 20: 94.48%
-  Offset 21: 97.58%
-  Offset 22: 93.53%
-  Offset 23: 96.38%
-  Offset 24: 95.40%
-  Offset 25: 96.29%
-  Offset 26: 99.11%
-  Offset 27: 96.37%
-  Offset 28: 98.66%
-  Offset 29: 94.68%
-  Offset 30: 97.00%
-  Offset 31: 98.05%
-  Offset 32: 92.16%
-  Offset 33: 97.82%
-  Offset 34: 96.81%
-  Offset 35: 96.22%
-  Offset 36: 95.69%
-  Offset 37: 96.79%
-  Offset 38: 94.04%
-  Offset 39: 98.42%
-  Offset 40: 94.65%
-  Offset 41: 96.63%
-  Offset 42: 96.47%
-  Offset 43: 94.44%
-  Offset 44: 99.62%
-  Offset 45: 94.24%
-  Offset 46: 96.00%
-  Offset 47: 99.46%
-  Offset 48: 96.78%
-  Offset 49: 98.60%
-  Offset 50: 96.21%
-  Offset 51: 95.34%
Period 53:
-  Offset 0: 95.14%
-  Offset 1: 93.82%
-  Offset 2: 96.54%
-  Offset 3: 97.89%
-  Offset 4: 95.81%
-  Offset 5: 93.27%
-  Offset 6: 92.88%
-  Offset 7: 91.76%
-  Offset 8: 98.80%
-  Offset 9: 95.62%
-  Offset 10: 97.99%
-  Offset 11: 99.95%
-  Offset 12: 99.44%
-  Offset 13: 96.22%
-  Offset 14: 97.90%
-  Offset 15: 98.93%
-  Offset 16: 93.58%
-  Offset 17: 91.72%
-  Offset 18: 95.64%
-  Offset 19: 96.65%
-  Offset 20: 95.36%
-  Offset 21: 98.73%
-  Offset 22: 99.72%
-  Offset 23: 96.91%
-  Offset 24: 97.32%
-  Offset 25: 98.87%
-  Offset 26: 96.32%
-  Offset 27: 97.12%
-  Offset 28: 93.18%
-  Offset 29: 94.22%
-  Offset 30: 98.15%
-  Offset 31: 93.48%
-  Offset 32: 95.17%
-  Offset 33: 97.88%
-  Offset 34: 98.70%
-  Offset 35: 94.21%
-  Offset 36: 93.85%
-  Offset 37: 97.10%
-  Offset 38: 96.34%
-  Offset 39: 95.19%
-  Offset 40: 95.96%
-  Offset 41: 97.13%
-  Offset 42: 94.63%
-  Offset 43: 97.23%
-  Offset 44: 98.49%
-  Offset 45: 96.32%
-  Offset 46: 97.28%
-  Offset 47: 96.69%
-  Offset 48: 96.28%
-  Offset 49: 96.72%
-  Offset 50: 95.49%
-  Offset 51: 93.63%
-  Offset 52: 101.45%
Period 54:
-  Offset 0: 93.06%
-  Offset 1: 95.49%
-  Offset 2: 92.13%
-  Offset 3: 94.71%
-  Offset 4: 96.90%
-  Offset 5: 98.82%
-  Offset 6: 96.76%
-  Offset 7: 97.86%
-  Offset 8: 98.92%
-  Offset 9: 98.73%
-  Offset 10: 97.36%
-  Offset 11: 94.72%
-  Offset 12: 99.15%
-  Offset 13: 95.98%
-  Offset 14: 94.18%
-  Offset 15: 95.06%
-  Offset 16: 94.28%
-  Offset 17: 98.46%
-  Offset 18: 101.20%
-  Offset 19: 95.80%
-  Offset 20: 95.90%
-  Offset 21: 100.07%
-  Offset 22: 97.48%
-  Offset 23: 99.44%
-  Offset 24: 94.84%
-  Offset 25: 94.57%
-  Offset 26: 97.88%
-  Offset 27: 89.38%
-  Offset 28: 96.73%
-  Offset 29: 97.73%
-  Offset 30: 94.02%
-  Offset 31: 97.62%
-  Offset 32: 92.22%
-  Offset 33: 100.22%
-  Offset 34: 95.39%
-  Offset 35: 95.81%
-  Offset 36: 96.36%
-  Offset 37: 96.74%
-  Offset 38: 95.21%
-  Offset 39: 93.41%
-  Offset 40: 99.81%
-  Offset 41: 95.41%
-  Offset 42: 92.86%
-  Offset 43: 96.87%
-  Offset 44: 98.22%
-  Offset 45: 95.27%
-  Offset 46: 95.62%
-  Offset 47: 98.27%
-  Offset 48: 99.56%
-  Offset 49: 95.98%
-  Offset 50: 98.92%
-  Offset 51: 95.80%
-  Offset 52: 96.32%
-  Offset 53: 94.49%
Period 55:
-  Offset 0: 98.99%
-  Offset 1: 97.39%
-  Offset 2: 94.21%
-  Offset 3: 99.57%
-  Offset 4: 99.78%
-  Offset 5: 93.84%
-  Offset 6: 99.68%
-  Offset 7: 99.38%
-  Offset 8: 92.69%
-  Offset 9: 98.82%
-  Offset 10: 96.86%
-  Offset 11: 97.49%
-  Offset 12: 99.49%
-  Offset 13: 94.34%
-  Offset 14: 96.05%
-  Offset 15: 97.36%
-  Offset 16: 99.01%
-  Offset 17: 97.98%
-  Offset 18: 95.72%
-  Offset 19: 95.97%
-  Offset 20: 96.64%
-  Offset 21: 98.02%
-  Offset 22: 95.66%
-  Offset 23: 96.54%
-  Offset 24: 95.74%
-  Offset 25: 96.07%
-  Offset 26: 95.90%
-  Offset 27: 91.36%
-  Offset 28: 96.03%
-  Offset 29: 95.19%
-  Offset 30: 97.40%
-  Offset 31: 97.30%
-  Offset 32: 94.44%
-  Offset 33: 97.14%
-  Offset 34: 97.22%
-  Offset 35: 96.34%
-  Offset 36: 94.71%
-  Offset 37: 95.23%
-  Offset 38: 94.11%
-  Offset 39: 97.63%
-  Offset 40: 92.05%
-  Offset 41: 93.34%
-  Offset 42: 98.35%
-  Offset 43: 97.12%
-  Offset 44: 97.29%
-  Offset 45: 95.51%
-  Offset 46: 102.39%
-  Offset 47: 98.83%
-  Offset 48: 97.62%
-  Offset 49: 93.73%
-  Offset 50: 95.54%
-  Offset 51: 93.80%
-  Offset 52: 94.35%
-  Offset 53: 96.53%
-  Offset 54: 93.80%
Period 56:
-  Offset 0: 97.96%
-  Offset 1: 98.26%
-  Offset 2: 98.83%
-  Offset 3: 94.94%
-  Offset 4: 97.30%
-  Offset 5: 98.29%
-  Offset 6: 98.12%
-  Offset 7: 98.14%
-  Offset 8: 98.52%
-  Offset 9: 99.80%
-  Offset 10: 96.54%
-  Offset 11: 95.33%
-  Offset 12: 96.44%
-  Offset 13: 97.19%
-  Offset 14: 98.13%
-  Offset 15: 99.24%
-  Offset 16: 93.93%
-  Offset 17: 90.43%
-  Offset 18: 96.28%
-  Offset 19: 98.58%
-  Offset 20: 97.92%
-  Offset 21: 97.70%
-  Offset 22: 97.38%
-  Offset 23: 94.61%
-  Offset 24: 94.01%
-  Offset 25: 96.17%
-  Offset 26: 94.28%
-  Offset 27: 96.30%
-  Offset 28: 94.98%
-  Offset 29: 95.35%
-  Offset 30: 96.15%
-  Offset 31: 97.50%
-  Offset 32: 95.36%
-  Offset 33: 97.00%
-  Offset 34: 96.36%
-  Offset 35: 95.28%
-  Offset 36: 92.80%
-  Offset 37: 94.75%
-  Offset 38: 99.11%
-  Offset 39: 93.34%
-  Offset 40: 97.95%
-  Offset 41: 95.53%
-  Offset 42: 97.08%
-  Offset 43: 99.04%
-  Offset 44: 97.57%
-  Offset 45: 94.52%
-  Offset 46: 99.03%
-  Offset 47: 96.55%
-  Offset 48: 97.40%
-  Offset 49: 98.00%
-  Offset 50: 93.45%
-  Offset 51: 93.40%
-  Offset 52: 94.54%
-  Offset 53: 99.69%
-  Offset 54: 93.15%
-  Offset 55: 98.92%
Period 57:
-  Offset 0: 97.62%
-  Offset 1: 98.90%
-  Offset 2: 96.62%
-  Offset 3: 97.56%
-  Offset 4: 98.62%
-  Offset 5: 97.98%
-  Offset 6: 101.03%
-  Offset 7: 96.94%
-  Offset 8: 98.10%
-  Offset 9: 96.69%
-  Offset 10: 96.13%
-  Offset 11: 96.90%
-  Offset 12: 93.21%
-  Offset 13: 96.31%
-  Offset 14: 96.00%
-  Offset 15: 93.49%
-  Offset 16: 95.34%
-  Offset 17: 93.65%
-  Offset 18: 99.37%
-  Offset 19: 96.68%
-  Offset 20: 97.77%
-  Offset 21: 99.10%
-  Offset 22: 95.45%
-  Offset 23: 94.67%
-  Offset 24: 92.80%
-  Offset 25: 96.17%
-  Offset 26: 98.98%
-  Offset 27: 92.49%
-  Offset 28: 94.60%
-  Offset 29: 98.83%
-  Offset 30: 92.12%
-  Offset 31: 95.95%
-  Offset 32: 98.72%
-  Offset 33: 96.56%
-  Offset 34: 97.43%
-  Offset 35: 93.37%
-  Offset 36: 92.55%
-  Offset 37: 98.23%
-  Offset 38: 95.33%
-  Offset 39: 99.18%
-  Offset 40: 96.90%
-  Offset 41: 91.27%
-  Offset 42: 99.17%
-  Offset 43: 96.14%
-  Offset 44: 98.76%
-  Offset 45: 99.47%
-  Offset 46: 98.30%
-  Offset 47: 96.95%
-  Offset 48: 97.98%
-  Offset 49: 93.50%
-  Offset 50: 89.78%
-  Offset 51: 95.12%
-  Offset 52: 100.11%
-  Offset 53: 99.79%
-  Offset 54: 95.58%
-  Offset 55: 95.81%
-  Offset 56: 101.54%
Period 58:
-  Offset 0: 100.67%
-  Offset 1: 98.08%
-  Offset 2: 95.28%
-  Offset 3: 98.53%
-  Offset 4: 98.13%
-  Offset 5: 99.20%
-  Offset 6: 98.51%
-  Offset 7: 94.92%
-  Offset 8: 94.64%
-  Offset 9: 98.04%
-  Offset 10: 94.75%
-  Offset 11: 92.99%
-  Offset 12: 94.05%
-  Offset 13: 95.31%
-  Offset 14: 97.31%
-  Offset 15: 94.37%
-  Offset 16: 95.45%
-  Offset 17: 100.05%
-  Offset 18: 96.03%
-  Offset 19: 95.31%
-  Offset 20: 97.42%
-  Offset 21: 96.62%
-  Offset 22: 96.23%
-  Offset 23: 94.78%
-  Offset 24: 96.30%
-  Offset 25: 97.09%
-  Offset 26: 90.54%
-  Offset 27: 94.78%
-  Offset 28: 98.55%
-  Offset 29: 94.90%
-  Offset 30: 97.29%
-  Offset 31: 97.51%
-  Offset 32: 96.66%
-  Offset 33: 94.14%
-  Offset 34: 96.95%
-  Offset 35: 92.65%
-  Offset 36: 97.22%
-  Offset 37: 94.82%
-  Offset 38: 97.78%
-  Offset 39: 98.50%
-  Offset 40: 95.79%
-  Offset 41: 97.10%
-  Offset 42: 97.38%
-  Offset 43: 97.48%
-  Offset 44: 98.33%
-  Offset 45: 95.04%
-  Offset 46: 97.69%
-  Offset 47: 99.76%
-  Offset 48: 91.67%
-  Offset 49: 96.46%
-  Offset 50: 96.87%
-  Offset 51: 95.82%
-  Offset 52: 99.40%
-  Offset 53: 100.46%
-  Offset 54: 94.42%
-  Offset 55: 101.50%
-  Offset 56: 99.61%
-  Offset 57: 96.47%
Period 59:
-  Offset 0: 97.97%
-  Offset 1: 93.63%
-  Offset 2: 96.71%
-  Offset 3: 99.53%
-  Offset 4: 96.64%
-  Offset 5: 95.75%
-  Offset 6: 97.22%
-  Offset 7: 94.55%
-  Offset 8: 97.91%
-  Offset 9: 95.38%
-  Offset 10: 93.23%
-  Offset 11: 94.03%
-  Offset 12: 95.90%
-  Offset 13: 99.42%
-  Offset 14: 93.83%
-  Offset 15: 93.81%
-  Offset 16: 99.95%
-  Offset 17: 91.77%
-  Offset 18: 98.07%
-  Offset 19: 99.18%
-  Offset 20: 94.39%
-  Offset 21: 98.46%
-  Offset 22: 93.57%
-  Offset 23: 97.27%
-  Offset 24: 91.92%
-  Offset 25: 94.01%
-  Offset 26: 98.96%
-  Offset 27: 95.62%
-  Offset 28: 95.55%
-  Offset 29: 96.41%
-  Offset 30: 96.69%
-  Offset 31: 96.01%
-  Offset 32: 93.46%
-  Offset 33: 93.94%
-  Offset 34: 98.88%
-  Offset 35: 100.26%
-  Offset 36: 94.40%
-  Offset 37: 97.89%
-  Offset 38: 99.49%
-  Offset 39: 94.78%
-  Offset 40: 96.90%
-  Offset 41: 91.79%
-  Offset 42: 96.37%
-  Offset 43: 99.27%
-  Offset 44: 99.37%
-  Offset 45: 98.14%
-  Offset 46: 96.56%
-  Offset 47: 96.73%
-  Offset 48: 96.02%
-  Offset 49: 96.04%
-  Offset 50: 99.86%
-  Offset 51: 97.46%
-  Offset 52: 101.40%
-  Offset 53: 96.56%
-  Offset 54: 98.39%
-  Offset 55: 98.44%
-  Offset 56: 99.04%
-  Offset 57: 100.04%
-  Offset 58: 98.55%
Period 60:
-  Offset 0: 94.29%
-  Offset 1: 98.15%
-  Offset 2: 95.54%
-  Offset 3: 93.95%
-  Offset 4: 97.79%
-  Offset 5: 97.39%
-  Offset 6: 98.44%
-  Offset 7: 96.62%
-  Offset 8: 92.26%
-  Offset 9: 94.13%
-  Offset 10: 95.19%
-  Offset 11: 97.71%
-  Offset 12: 95.63%
-  Offset 13: 94.35%
-  Offset 14: 96.56%
-  Offset 15: 96.89%
-  Offset 16: 96.33%
-  Offset 17: 98.75%
-  Offset 18: 96.55%
-  Offset 19: 94.53%
-  Offset 20: 98.08%
-  Offset 21: 94.86%
-  Offset 22: 95.60%
-  Offset 23: 97.89%
-  Offset 24: 93.83%
-  Offset 25: 94.80%
-  Offset 26: 99.40%
-  Offset 27: 93.29%
-  Offset 28: 97.06%
-  Offset 29: 92.99%
-  Offset 30: 97.61%
-  Offset 31: 98.49%
-  Offset 32: 94.54%
-  Offset 33: 100.61%
-  Offset 34: 100.01%
-  Offset 35: 94.06%
-  Offset 36: 98.70%
-  Offset 37: 95.74%
-  Offset 38: 91.21%
-  Offset 39: 97.24%
-  Offset 40: 96.92%
-  Offset 41: 96.62%
-  Offset 42: 98.68%
-  Offset 43: 97.58%
-  Offset 44: 98.10%
-  Offset 45: 98.72%
-  Offset 46: 96.13%
-  Offset 47: 99.43%
-  Offset 48: 97.21%
-  Offset 49: 100.37%
-  Offset 50: 98.58%
-  Offset 51: 97.61%
-  Offset 52: 98.34%
-  Offset 53: 100.16%
-  Offset 54: 97.75%
-  Offset 55: 95.21%
-  Offset 56: 98.18%
-  Offset 57: 97.55%
-  Offset 58: 97.31%
-  Offset 59: 98.42%
Period 61:
-  Offset 0: 99.85%
-  Offset 1: 95.72%
-  Offset 2: 95.68%
-  Offset 3: 95.77%
-  Offset 4: 95.73%
-  Offset 5: 99.03%
-  Offset 6: 94.90%
-  Offset 7: 92.46%
-  Offset 8: 95.28%
-  Offset 9: 96.72%
-  Offset 10: 96.81%
-  Offset 11: 94.22%
-  Offset 12: 98.50%
-  Offset 13: 97.25%
-  Offset 14: 95.75%
-  Offset 15: 96.07%
-  Offset 16: 96.35%
-  Offset 17: 96.26%
-  Offset 18: 92.74%
-  Offset 19: 98.20%
-  Offset 20: 92.45%
-  Offset 21: 96.26%
-  Offset 22: 99.17%
-  Offset 23: 95.92%
-  Offset 24: 94.52%
-  Offset 25: 95.07%
-  Offset 26: 96.64%
-  Offset 27: 93.97%
-  Offset 28: 97.96%
-  Offset 29: 96.90%
-  Offset 30: 98.58%
-  Offset 31: 97.78%
-  Offset 32: 96.83%
-  Offset 33: 98.73%
-  Offset 34: 96.18%
-  Offset 35: 95.81%
-  Offset 36: 95.67%
-  Offset 37: 94.13%
-  Offset 38: 98.14%
-  Offset 39: 95.18%
-  Offset 40: 98.68%
-  Offset 41: 98.22%
-  Offset 42: 95.62%
-  Offset 43: 99.45%
-  Offset 44: 101.43%
-  Offset 45: 96.27%
-  Offset 46: 98.56%
-  Offset 47: 98.33%
-  Offset 48: 101.09%
-  Offset 49: 98.76%
-  Offset 50: 99.12%
-  Offset 51: 94.02%
-  Offset 52: 100.14%
-  Offset 53: 96.11%
-  Offset 54: 93.99%
-  Offset 55: 99.68%
-  Offset 56: 96.91%
-  Offset 57: 95.18%
-  Offset 58: 97.27%
-  Offset 59: 98.24%
-  Offset 60: 95.33%
Period 62:
-  Offset 0: 94.88%
-  Offset 1: 98.92%
-  Offset 2: 94.48%
-  Offset 3: 94.91%
-  Offset 4: 97.46%
-  Offset 5: 94.92%
-  Offset 6: 94.07%
-  Offset 7: 99.00%
-  Offset 8: 96.99%
-  Offset 9: 98.57%
-  Offset 10: 95.54%
-  Offset 11: 93.94%
-  Offset 12: 96.44%
-  Offset 13: 95.76%
-  Offset 14: 96.46%
-  Offset 15: 93.32%
-  Offset 16: 97.69%
-  Offset 17: 94.12%
-  Offset 18: 97.07%
-  Offset 19: 95.34%
-  Offset 20: 98.20%
-  Offset 21: 95.19%
-  Offset 22: 95.52%
-  Offset 23: 96.70%
-  Offset 24: 94.80%
-  Offset 25: 97.79%
-  Offset 26: 98.78%
-  Offset 27: 97.10%
-  Offset 28: 97.70%
-  Offset 29: 98.54%
-  Offset 30: 96.62%
-  Offset 31: 96.93%
-  Offset 32: 97.96%
-  Offset 33: 95.13%
-  Offset 34: 99.11%
-  Offset 35: 94.45%
-  Offset 36: 93.59%
-  Offset 37: 99.37%
-  Offset 38: 97.80%
-  Offset 39: 99.34%
-  Offset 40: 96.08%
-  Offset 41: 97.68%
-  Offset 42: 98.44%
-  Offset 43: 101.00%
-  Offset 44: 97.39%
-  Offset 45: 99.65%
-  Offset 46: 98.48%
-  Offset 47: 101.72%
-  Offset 48: 99.70%
-  Offset 49: 93.28%
-  Offset 50: 95.97%
-  Offset 51: 96.79%
-  Offset 52: 96.69%
-  Offset 53: 98.09%
-  Offset 54: 91.05%
-  Offset 55: 97.90%
-  Offset 56: 97.81%
-  Offset 57: 96.72%
-  Offset 58: 101.87%
-  Offset 59: 98.89%
-  Offset 60: 95.44%
-  Offset 61: 94.16%
Period 63:
-  Offset 0: 96.27%
-  Offset 1: 95.94%
-  Offset 2: 97.73%
-  Offset 3: 95.78%
-  Offset 4: 98.43%
-  Offset 5: 97.72%
-  Offset 6: 95.06%
-  Offset 7: 97.69%
-  Offset 8: 97.47%
-  Offset 9: 95.37%
-  Offset 10: 92.32%
-  Offset 11: 94.88%
-  Offset 12: 94.61%
-  Offset 13: 96.28%
-  Offset 14: 99.37%
-  Offset 15: 98.22%
-  Offset 16: 93.03%
-  Offset 17: 94.58%
-  Offset 18: 94.51%
-  Offset 19: 96.36%
-  Offset 20: 95.16%
-  Offset 21: 97.31%
-  Offset 22: 99.95%
-  Offset 23: 96.63%
-  Offset 24: 97.57%
-  Offset 25: 97.12%
-  Offset 26: 99.12%
-  Offset 27: 98.96%
-  Offset 28: 97.54%
-  Offset 29: 93.61%
-  Offset 30: 97.07%
-  Offset 31: 97.34%
-  Offset 32: 95.53%
-  Offset 33: 97.06%
-  Offset 34: 100.04%
-  Offset 35: 96.73%
-  Offset 36: 97.39%
-  Offset 37: 96.84%
-  Offset 38: 96.22%
-  Offset 39: 99.74%
-  Offset 40: 98.93%
-  Offset 41: 97.31%
-  Offset 42: 100.49%
-  Offset 43: 97.97%
-  Offset 44: 99.96%
-  Offset 45: 96.08%
-  Offset 46: 100.19%
-  Offset 47: 97.73%
-  Offset 48: 97.72%
-  Offset 49: 93.72%
-  Offset 50: 95.01%
-  Offset 51: 93.96%
-  Offset 52: 94.94%
-  Offset 53: 98.32%
-  Offset 54: 95.32%
-  Offset 55: 99.28%
-  Offset 56: 97.86%
-  Offset 57: 98.25%
-  Offset 58: 98.95%
-  Offset 59: 96.42%
-  Offset 60: 93.09%
-  Offset 61: 95.05%
-  Offset 62: 97.60%
Period 64:
-  Offset 0: 95.98%
-  Offset 1: 98.66%
-  Offset 2: 94.20%
-  Offset 3: 98.32%
-  Offset 4: 98.11%
-  Offset 5: 93.50%
-  Offset 6: 97.76%
-  Offset 7: 95.58%
-  Offset 8: 96.60%
-  Offset 9: 91.32%
-  Offset 10: 96.70%
-  Offset 11: 98.84%
-  Offset 12: 95.26%
-  Offset 13: 94.99%
-  Offset 14: 95.86%
-  Offset 15: 92.14%
-  Offset 16: 97.62%
-  Offset 17: 93.87%
-  Offset 18: 97.03%
-  Offset 19: 100.48%
-  Offset 20: 98.27%
-  Offset 21: 97.72%
-  Offset 22: 97.07%
-  Offset 23: 98.98%
-  Offset 24: 98.04%
-  Offset 25: 98.19%
-  Offset 26: 96.73%
-  Offset 27: 93.53%
-  Offset 28: 97.00%
-  Offset 29: 95.40%
-  Offset 30: 100.07%
-  Offset 31: 96.30%
-  Offset 32: 99.88%
-  Offset 33: 98.92%
-  Offset 34: 96.24%
-  Offset 35: 99.48%
-  Offset 36: 92.34%
-  Offset 37: 100.49%
-  Offset 38: 97.95%
-  Offset 39: 100.37%
-  Offset 40: 99.30%
-  Offset 41: 96.94%
-  Offset 42: 98.55%
-  Offset 43: 97.36%
-  Offset 44: 97.87%
-  Offset 45: 98.17%
-  Offset 46: 96.31%
-  Offset 47: 97.66%
-  Offset 48: 94.38%
-  Offset 49: 97.47%
-  Offset 50: 94.89%
-  Offset 51: 92.41%
-  Offset 52: 100.23%
-  Offset 53: 97.54%
-  Offset 54: 95.58%
-  Offset 55: 98.72%
-  Offset 56: 96.11%
-  Offset 57: 99.12%
-  Offset 58: 98.34%
-  Offset 59: 92.83%
-  Offset 60: 92.76%
-  Offset 61: 99.36%
-  Offset 62: 99.76%
-  Offset 63: 97.96%
Period 65:
-  Offset 0: 97.04%
-  Offset 1: 98.34%
-  Offset 2: 97.21%
-  Offset 3: 95.77%
-  Offset 4: 96.48%
-  Offset 5: 96.36%
-  Offset 6: 96.29%
-  Offset 7: 97.21%
-  Offset 8: 94.38%
-  Offset 9: 92.35%
-  Offset 10: 95.84%
-  Offset 11: 96.53%
-  Offset 12: 93.23%
-  Offset 13: 97.99%
-  Offset 14: 95.89%
-  Offset 15: 98.31%
-  Offset 16: 97.53%
-  Offset 17: 96.38%
-  Offset 18: 99.66%
-  Offset 19: 96.73%
-  Offset 20: 98.89%
-  Offset 21: 98.70%
-  Offset 22: 98.36%
-  Offset 23: 96.06%
-  Offset 24: 96.27%
-  Offset 25: 96.47%
-  Offset 26: 99.73%
-  Offset 27: 94.60%
-  Offset 28: 98.25%
-  Offset 29: 99.15%
-  Offset 30: 97.31%
-  Offset 31: 99.21%
-  Offset 32: 98.65%
-  Offset 33: 96.93%
-  Offset 34: 98.00%
-  Offset 35: 96.28%
-  Offset 36: 97.79%
-  Offset 37: 97.74%
-  Offset 38: 99.69%
-  Offset 39: 101.17%
-  Offset 40: 98.00%
-  Offset 41: 94.10%
-  Offset 42: 95.97%
-  Offset 43: 94.80%
-  Offset 44: 100.55%
-  Offset 45: 94.67%
-  Offset 46: 96.48%
-  Offset 47: 95.79%
-  Offset 48: 94.23%
-  Offset 49: 96.05%
-  Offset 50: 95.92%
-  Offset 51: 97.26%
-  Offset 52: 96.44%
-  Offset 53: 96.99%
-  Offset 54: 97.59%
-  Offset 55: 96.17%
-  Offset 56: 96.11%
-  Offset 57: 99.00%
-  Offset 58: 97.56%
-  Offset 59: 95.29%
-  Offset 60: 96.60%
-  Offset 61: 100.67%
-  Offset 62: 99.59%
-  Offset 63: 94.59%
-  Offset 64: 95.86%
Period 66:
-  Offset 0: 98.60%
-  Offset 1: 96.17%
-  Offset 2: 97.06%
-  Offset 3: 92.68%
-  Offset 4: 96.12%
-  Offset 5: 94.28%
-  Offset 6: 95.96%
-  Offset 7: 94.48%
-  Offset 8: 93.87%
-  Offset 9: 98.24%
-  Offset 10: 95.40%
-  Offset 11: 96.39%
-  Offset 12: 100.22%
-  Offset 13: 96.63%
-  Offset 14: 98.59%
-  Offset 15: 97.20%
-  Offset 16: 98.42%
-  Offset 17: 96.99%
-  Offset 18: 96.69%
-  Offset 19: 95.89%
-  Offset 20: 97.33%
-  Offset 21: 98.31%
-  Offset 22: 99.05%
-  Offset 23: 98.48%
-  Offset 24: 97.61%
-  Offset 25: 97.34%
-  Offset 26: 98.75%
-  Offset 27: 95.15%
-  Offset 28: 99.97%
-  Offset 29: 97.27%
-  Offset 30: 98.88%
-  Offset 31: 99.74%
-  Offset 32: 91.92%
-  Offset 33: 98.76%
-  Offset 34: 98.44%
-  Offset 35: 99.76%
-  Offset 36: 98.06%
-  Offset 37: 98.76%
-  Offset 38: 96.89%
-  Offset 39: 99.25%
-  Offset 40: 95.15%
-  Offset 41: 93.04%
-  Offset 42: 94.95%
-  Offset 43: 97.33%
-  Offset 44: 96.05%
-  Offset 45: 94.73%
-  Offset 46: 94.92%
-  Offset 47: 99.27%
-  Offset 48: 95.75%
-  Offset 49: 94.07%
-  Offset 50: 97.05%
-  Offset 51: 96.84%
-  Offset 52: 95.56%
-  Offset 53: 97.74%
-  Offset 54: 97.17%
-  Offset 55: 97.62%
-  Offset 56: 98.06%
-  Offset 57: 96.48%
-  Offset 58: 99.12%
-  Offset 59: 99.88%
-  Offset 60: 95.39%
-  Offset 61: 98.11%
-  Offset 62: 96.05%
-  Offset 63: 96.20%
-  Offset 64: 98.85%
-  Offset 65: 99.58%
Period 67:
-  Offset 0: 93.61%
-  Offset 1: 93.11%
-  Offset 2: 95.05%
-  Offset 3: 94.01%
-  Offset 4: 96.42%
-  Offset 5: 99.47%
-  Offset 6: 93.78%
-  Offset 7: 97.40%
-  Offset 8: 96.71%
-  Offset 9: 96.73%
-  Offset 10: 98.45%
-  Offset 11: 99.51%
-  Offset 12: 97.78%
-  Offset 13: 98.38%
-  Offset 14: 96.76%
-  Offset 15: 94.53%
-  Offset 16: 97.41%
-  Offset 17: 93.11%
-  Offset 18: 97.90%
-  Offset 19: 100.18%
-  Offset 20: 99.32%
-  Offset 21: 97.69%
-  Offset 22: 101.13%
-  Offset 23: 99.08%
-  Offset 24: 97.45%
-  Offset 25: 95.59%
-  Offset 26: 99.44%
-  Offset 27: 98.60%
-  Offset 28: 97.42%
-  Offset 29: 95.70%
-  Offset 30: 97.63%
-  Offset 31: 96.91%
-  Offset 32: 98.47%
-  Offset 33: 99.26%
-  Offset 34: 97.50%
-  Offset 35: 98.68%
-  Offset 36: 97.45%
-  Offset 37: 97.78%
-  Offset 38: 99.28%
-  Offset 39: 92.07%
-  Offset 40: 94.85%
-  Offset 41: 91.03%
-  Offset 42: 95.85%
-  Offset 43: 99.25%
-  Offset 44: 94.40%
-  Offset 45: 94.29%
-  Offset 46: 99.10%
-  Offset 47: 95.93%
-  Offset 48: 96.37%
-  Offset 49: 97.98%
-  Offset 50: 96.96%
-  Offset 51: 94.44%
-  Offset 52: 96.98%
-  Offset 53: 99.72%
-  Offset 54: 96.61%
-  Offset 55: 98.54%
-  Offset 56: 98.64%
-  Offset 57: 93.73%
-  Offset 58: 98.99%
-  Offset 59: 98.51%
-  Offset 60: 93.92%
-  Offset 61: 98.23%
-  Offset 62: 98.74%
-  Offset 63: 98.03%
-  Offset 64: 98.34%
-  Offset 65: 100.03%
-  Offset 66: 97.59%
Period 68:
-  Offset 0: 94.84%
-  Offset 1: 95.97%
-  Offset 2: 96.87%
-  Offset 3: 96.24%
-  Offset 4: 99.43%
-  Offset 5: 94.36%
-  Offset 6: 93.88%
-  Offset 7: 102.08%
-  Offset 8: 98.51%
-  Offset 9: 98.55%
-  Offset 10: 98.98%
-  Offset 11: 94.25%
-  Offset 12: 99.46%
-  Offset 13: 93.02%
-  Offset 14: 95.37%
-  Offset 15: 97.16%
-  Offset 16: 97.11%
-  Offset 17: 98.20%
-  Offset 18: 98.40%
-  Offset 19: 98.92%
-  Offset 20: 101.53%
-  Offset 21: 98.89%
-  Offset 22: 99.25%
-  Offset 23: 98.45%
-  Offset 24: 95.63%
-  Offset 25: 96.24%
-  Offset 26: 100.52%
-  Offset 27: 96.90%
-  Offset 28: 95.28%
-  Offset 29: 98.95%
-  Offset 30: 95.62%
-  Offset 31: 98.82%
-  Offset 32: 96.54%
-  Offset 33: 100.37%
-  Offset 34: 100.28%
-  Offset 35: 97.42%
-  Offset 36: 94.20%
-  Offset 37: 94.24%
-  Offset 38: 94.27%
-  Offset 39: 94.21%
-  Offset 40: 92.93%
-  Offset 41: 95.73%
-  Offset 42: 96.52%
-  Offset 43: 94.64%
-  Offset 44: 94.10%
-  Offset 45: 101.44%
-  Offset 46: 97.88%
-  Offset 47: 95.71%
-  Offset 48: 98.35%
-  Offset 49: 96.97%
-  Offset 50: 96.86%
-  Offset 51: 95.43%
-  Offset 52: 99.99%
-  Offset 53: 99.31%
-  Offset 54: 94.14%
-  Offset 55: 96.70%
-  Offset 56: 96.58%
-  Offset 57: 98.70%
-  Offset 58: 99.69%
-  Offset 59: 98.65%
-  Offset 60: 94.16%
-  Offset 61: 97.65%
-  Offset 62: 98.32%
-  Offset 63: 97.43%
-  Offset 64: 98.40%
-  Offset 65: 93.33%
-  Offset 66: 97.35%
-  Offset 67: 97.62%

The period 35, offset 21 fragment "(lOO+T..T|" is just a little bit interesting because it moves through the cipher in a fashion similar to period 15/19. Move right by 1 square and down by 2 squares.

Code: Select all
HER>pl^VPk|1LTG2dNp+B ( #O%DWY.<*Kf)B
y:cM+UZGW()L#zHJSpp7^ l 8*V3pO++RK2_9
M+ztjd|5FP+&4k/p8R^Fl O -*dCkF>2D(#5+
Kq%;2UcXGV.zL|(G2Jfj# O +_NYz+@L9d<M+
b+ZR2FBcyA64K-zlUV+^J + Op7<FBy-U+R/5
tE|DYBpbTMKO2<clRJ|*5 T 4M.+&BFz69Sy#
+N|5FBc(;8RlGFN^f524b . cV4t++yBX1*:4
9CE>VUZ5-+|c.3zBK(Op^ . fMqG2RcT+L16C
<+FlWB|)L++)WCzWcPOSH T /()p|FkdW<7tB
_YOB*-Cc>MDHNpkSzZO8A | K;+

Code: Select all
NNNNNNNNNNNNNNNNN
NNNN NNNNNNNNNNNN
NNNNNNNNNNNNNNNNN
NNNNN NNNNNNNNNNN
NNNNNNNNNNNNNNNNN
NNNNNN NNNNNNNNNN
NNNNNNNNNNNNNNNNN
NNNNNNN NNNNNNNNN
NNNNNNNNNNNNNNNNN
NNNNNNNN NNNNNNNN
NNNNNNNNNNNNNNNNN
NNNNNNNNN NNNNNNN
NNNNNNNNNNNNNNNNN
NNNNNNNNNN NNNNNN
NNNNNNNNNNNNNNNNN
NNNNNNNNNNN NNNNN
NNNNNNNNNNNNNNNNN
NNNNNNNNNNNN NNNN
NNNNNNNNNNNNNNNNN
NNNNNNNNNNNNN NNN
User avatar
Jarlve
 
Posts: 1462
Joined: Sun Sep 07, 2014 9:51 am
Location: Belgium

Re: Route Transposition and Phenomenon

Postby Jarlve » Sun Jul 23, 2017 12:10 pm

I changed the encoding null analysis to count the number of times a randomized fragment scores higher than the base score of the cipher. Every fragment is randomized 10.000 times. The percentages indicate how much a randomization of the considered fragment is better than the original fragment. I remembered this from smokie's work and it works much better.

340, sorted symbols, ignore symbols that occur only once:

Code: Select all
Symbol randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
@: 23.5% (1)
+: 13.34% (24)
W: 13.22% (6)
): 12.97% (5)
F: 7.34% (10)
B: 6.63% (12)
5: 5.97% (7)
4: 5.59% (6)
p: 5.53% (11)
A: 4.69% (2)
j: 4.14% (2)
H: 4.04% (4)
b: 3.87% (3)
C: 3.38% (5)
%: 2.88% (2)
k: 2.83% (5)
L: 2.73% (6)
T: 2.56% (5)
#: 2.34% (5)
c: 2.06% (10)
1: 1.87% (3)
6: 1.5% (3)
&: 1.25% (2)
2: 1.24% (9)
y: 1.24% (5)
O: 1.22% (10)
d: 1.12% (5)
.: 1.12% (6)
:: 1.06% (2)
3: 1% (2)
P: 0.91% (3)
|: 0.91% (10)
G: 0.86% (6)
J: 0.84% (4)
z: 0.80% (9)
R: 0.79% (8)
<: 0.79% (6)
-: 0.69% (5)
E: 0.67% (3)
U: 0.63% (5)
N: 0.62% (5)
X: 0.62% (2)
V: 0.59% (6)
S: 0.54% (4)
q: 0.53% (2)
8: 0.5% (4)
9: 0.42% (4)
(: 0.38% (7)
^: 0.17% (6)
;: 0.16% (3)
l: 0.15% (7)
_: 0.15% (3)
/: 0.15% (3)
M: 0.09% (7)
t: 0.08% (4)
Y: 0.06% (4)
7: 0.06% (3)
f: 0.04% (4)
>: 0.03% (4)
*: 0.03% (6)
K: 0.03% (7)
Z: 0.02% (4)
D: 0.01% (4)
--------------------
Average: 2.46%

Rows, row 14 again with a massive 67% of the randomizations being higher than the original. For comparison, in the 408, the last row scores 48%. Also notice a bias for randomization in even rows:

Code: Select all
Row randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
Row 1: 0.02%
Row 2: 0.05%
Row 3: 0.06%
Row 4: 5.52%
Row 5: 0%
Row 6: 6.19%
Row 7: 0.17%
Row 8: 0.70%
Row 9: 0.43%
Row 10: 17.47%
Row 11: 2.88%
Row 12: 14.18%
Row 13: 5.43%
Row 14: 67.58%
Row 15: 0%
Row 16: 0.08%
Row 17: 6.49%
Row 18: 13.65%
Row 19: 0.37%
Row 20: 0.54%
--------------------
Average: 7.09%

Columns, nothing outstanding but column 8 and 13 are highest, these are the columns that contain the vertical pivot fragments:

Code: Select all
Column randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
Column 1: 0.26%
Column 2: 2.33%
Column 3: 0.67%
Column 4: 0.03%
Column 5: 0.65%
Column 6: 0%
Column 7: 0%
Column 8: 2.76%
Column 9: 0.36%
Column 10: 0.11%
Column 11: 0.08%
Column 12: 0.67%
Column 13: 3.12%
Column 14: 0%
Column 15: 0.02%
Column 16: 0.06%
Column 17: 1.79%
--------------------
Average: 0.76%

Periodic, you may want to sit down as the first noteworthy observation happens at period 19, offset 18 (the last period 19 fragment) with about 19% of the randomizations being higher than the original. I need to double check these results. Period 35, offset 21 from the previous test scores a massive 71%:

Code: Select all
Periodic randomizations versus 2-symbol cycles weight=5:
----------------------------------------------------
Period 2:
-  Offset 0: 0%
-  Offset 1: 0%
Period 3:
-  Offset 0: 0%
-  Offset 1: 0%
-  Offset 2: 0%
Period 4:
-  Offset 0: 0%
-  Offset 1: 0%
-  Offset 2: 0%
-  Offset 3: 0%
Period 5:
-  Offset 0: 0%
-  Offset 1: 0.03%
-  Offset 2: 0%
-  Offset 3: 0%
-  Offset 4: 0%
Period 6:
-  Offset 0: 0%
-  Offset 1: 0%
-  Offset 2: 0%
-  Offset 3: 0%
-  Offset 4: 0%
-  Offset 5: 0%
Period 7:
-  Offset 0: 0.01%
-  Offset 1: 0%
-  Offset 2: 0%
-  Offset 3: 0%
-  Offset 4: 0%
-  Offset 5: 0%
-  Offset 6: 0%
Period 8:
-  Offset 0: 0%
-  Offset 1: 0%
-  Offset 2: 0%
-  Offset 3: 0%
-  Offset 4: 0%
-  Offset 5: 0%
-  Offset 6: 0.02%
-  Offset 7: 0.09%
Period 9:
-  Offset 0: 0%
-  Offset 1: 0%
-  Offset 2: 0%
-  Offset 3: 0.06%
-  Offset 4: 0.16%
-  Offset 5: 0%
-  Offset 6: 0%
-  Offset 7: 0%
-  Offset 8: 0.19%
Period 10:
-  Offset 0: 0%
-  Offset 1: 0.17%
-  Offset 2: 0%
-  Offset 3: 0.12%
-  Offset 4: 0.32%
-  Offset 5: 0%
-  Offset 6: 0.66%
-  Offset 7: 0.02%
-  Offset 8: 0%
-  Offset 9: 0%
Period 11:
-  Offset 0: 0.24%
-  Offset 1: 0.27%
-  Offset 2: 0.1%
-  Offset 3: 0.08%
-  Offset 4: 0.19%
-  Offset 5: 0%
-  Offset 6: 0.42%
-  Offset 7: 0%
-  Offset 8: 0%
-  Offset 9: 0.48%
-  Offset 10: 0.01%
Period 12:
-  Offset 0: 0%
-  Offset 1: 0%
-  Offset 2: 0%
-  Offset 3: 0%
-  Offset 4: 0.23%
-  Offset 5: 0.14%
-  Offset 6: 0.49%
-  Offset 7: 0.03%
-  Offset 8: 0%
-  Offset 9: 0.12%
-  Offset 10: 0.04%
-  Offset 11: 0.31%
Period 13:
-  Offset 0: 3.69%
-  Offset 1: 0%
-  Offset 2: 0.14%
-  Offset 3: 0%
-  Offset 4: 0%
-  Offset 5: 5%
-  Offset 6: 0.02%
-  Offset 7: 0.02%
-  Offset 8: 0.06%
-  Offset 9: 0.01%
-  Offset 10: 0.02%
-  Offset 11: 0%
-  Offset 12: 0.01%
Period 14:
-  Offset 0: 0.08%
-  Offset 1: 2.63%
-  Offset 2: 0.01%
-  Offset 3: 0%
-  Offset 4: 0.27%
-  Offset 5: 1.31%
-  Offset 6: 0.41%
-  Offset 7: 0.67%
-  Offset 8: 0.01%
-  Offset 9: 0.01%
-  Offset 10: 0.03%
-  Offset 11: 0%
-  Offset 12: 0%
-  Offset 13: 0.17%
Period 15:
-  Offset 0: 0.21%
-  Offset 1: 0.53%
-  Offset 2: 0.4%
-  Offset 3: 0.28%
-  Offset 4: 5.23%
-  Offset 5: 0.12%
-  Offset 6: 0.64%
-  Offset 7: 0.08%
-  Offset 8: 0%
-  Offset 9: 0%
-  Offset 10: 0%
-  Offset 11: 2.2%
-  Offset 12: 0.02%
-  Offset 13: 0%
-  Offset 14: 0.03%
Period 16:
-  Offset 0: 0.1%
-  Offset 1: 0.22%
-  Offset 2: 0%
-  Offset 3: 0.77%
-  Offset 4: 0.44%
-  Offset 5: 0.61%
-  Offset 6: 0.06%
-  Offset 7: 3.93%
-  Offset 8: 0.65%
-  Offset 9: 0%
-  Offset 10: 0.95%
-  Offset 11: 0%
-  Offset 12: 0%
-  Offset 13: 0.13%
-  Offset 14: 1.16%
-  Offset 15: 0.02%
Period 17:
-  Offset 0: 0.36%
-  Offset 1: 2.16%
-  Offset 2: 0.71%
-  Offset 3: 0.01%
-  Offset 4: 0.55%
-  Offset 5: 0%
-  Offset 6: 0%
-  Offset 7: 2.83%
-  Offset 8: 0.43%
-  Offset 9: 0.06%
-  Offset 10: 0.15%
-  Offset 11: 0.48%
-  Offset 12: 3.12%
-  Offset 13: 0%
-  Offset 14: 0.03%
-  Offset 15: 0.04%
-  Offset 16: 1.6%
Period 18:
-  Offset 0: 0.41%
-  Offset 1: 0.03%
-  Offset 2: 0%
-  Offset 3: 0.06%
-  Offset 4: 5.29%
-  Offset 5: 3.15%
-  Offset 6: 0%
-  Offset 7: 0.09%
-  Offset 8: 7.23%
-  Offset 9: 0%
-  Offset 10: 0.33%
-  Offset 11: 0.24%
-  Offset 12: 2.87%
-  Offset 13: 0.23%
-  Offset 14: 0%
-  Offset 15: 0.84%
-  Offset 16: 0.05%
-  Offset 17: 0.17%
Period 19:
-  Offset 0: 0.16%
-  Offset 1: 8.17%
-  Offset 2: 1.67%
-  Offset 3: 0%
-  Offset 4: 1.87%
-  Offset 5: 0.02%
-  Offset 6: 9.56%
-  Offset 7: 9.18%
-  Offset 8: 0.03%
-  Offset 9: 0.09%
-  Offset 10: 3.11%
-  Offset 11: 0%
-  Offset 12: 0%
-  Offset 13: 0.33%
-  Offset 14: 1.52%
-  Offset 15: 0.5%
-  Offset 16: 0%
-  Offset 17: 0%
-  Offset 18: 19.36%
Period 20:
-  Offset 0: 0.1%
-  Offset 1: 0.29%
-  Offset 2: 0.24%
-  Offset 3: 0.05%
-  Offset 4: 0.38%
-  Offset 5: 0.45%
-  Offset 6: 3.28%
-  Offset 7: 0.09%
-  Offset 8: 0%
-  Offset 9: 0.01%
-  Offset 10: 0.27%
-  Offset 11: 3.24%
-  Offset 12: 0.12%
-  Offset 13: 8.36%
-  Offset 14: 3.62%
-  Offset 15: 0.01%
-  Offset 16: 4.21%
-  Offset 17: 1.03%
-  Offset 18: 0%
-  Offset 19: 0.22%
Period 21:
-  Offset 0: 4.51%
-  Offset 1: 3.37%
-  Offset 2: 5.16%
-  Offset 3: 0.19%
-  Offset 4: 6.46%
-  Offset 5: 3.28%
-  Offset 6: 0.96%
-  Offset 7: 0.1%
-  Offset 8: 0%
-  Offset 9: 0%
-  Offset 10: 0%
-  Offset 11: 0.09%
-  Offset 12: 0%
-  Offset 13: 8.91%
-  Offset 14: 0.48%
-  Offset 15: 3.98%
-  Offset 16: 0.06%
-  Offset 17: 0.01%
-  Offset 18: 0.03%
-  Offset 19: 0.24%
-  Offset 20: 0.18%
Period 22:
-  Offset 0: 4.33%
-  Offset 1: 0.11%
-  Offset 2: 0.25%
-  Offset 3: 0.13%
-  Offset 4: 0.42%
-  Offset 5: 0%
-  Offset 6: 1.48%
-  Offset 7: 0.03%
-  Offset 8: 0.03%
-  Offset 9: 11.25%
-  Offset 10: 0%
-  Offset 11: 1.83%
-  Offset 12: 10.8%
-  Offset 13: 1.56%
-  Offset 14: 11.24%
-  Offset 15: 7.31%
-  Offset 16: 0.25%
-  Offset 17: 3.95%
-  Offset 18: 0.02%
-  Offset 19: 0%
-  Offset 20: 0.52%
-  Offset 21: 2.65%
Period 23:
-  Offset 0: 0.01%
-  Offset 1: 0.99%
-  Offset 2: 2.19%
-  Offset 3: 0.01%
-  Offset 4: 2.98%
-  Offset 5: 0.05%
-  Offset 6: 9.4%
-  Offset 7: 22.91%
-  Offset 8: 0.05%
-  Offset 9: 7.19%
-  Offset 10: 0%
-  Offset 11: 1.68%
-  Offset 12: 0.04%
-  Offset 13: 0%
-  Offset 14: 0.08%
-  Offset 15: 0.02%
-  Offset 16: 0.19%
-  Offset 17: 0.01%
-  Offset 18: 0.77%
-  Offset 19: 12.65%
-  Offset 20: 0.88%
-  Offset 21: 0.1%
-  Offset 22: 19.83%
Period 24:
-  Offset 0: 0.23%
-  Offset 1: 0.13%
-  Offset 2: 0%
-  Offset 3: 0%
-  Offset 4: 0.6%
-  Offset 5: 0.22%
-  Offset 6: 0.67%
-  Offset 7: 0.11%
-  Offset 8: 0.06%
-  Offset 9: 0.82%
-  Offset 10: 0.1%
-  Offset 11: 0.45%
-  Offset 12: 0.03%
-  Offset 13: 1.52%
-  Offset 14: 0.48%
-  Offset 15: 1.35%
-  Offset 16: 2.58%
-  Offset 17: 6.05%
-  Offset 18: 6.2%
-  Offset 19: 4.34%
-  Offset 20: 0.46%
-  Offset 21: 1.76%
-  Offset 22: 4.93%
-  Offset 23: 9.73%
Period 25:
-  Offset 0: 0.03%
-  Offset 1: 0.02%
-  Offset 2: 1.33%
-  Offset 3: 0.13%
-  Offset 4: 0.27%
-  Offset 5: 17.36%
-  Offset 6: 7.37%
-  Offset 7: 0.19%
-  Offset 8: 3.07%
-  Offset 9: 0.2%
-  Offset 10: 0.06%
-  Offset 11: 2.13%
-  Offset 12: 0.53%
-  Offset 13: 1.53%
-  Offset 14: 6.93%
-  Offset 15: 0.01%
-  Offset 16: 3.94%
-  Offset 17: 0.26%
-  Offset 18: 0.32%
-  Offset 19: 0.53%
-  Offset 20: 6.15%
-  Offset 21: 14.63%
-  Offset 22: 0.13%
-  Offset 23: 0.01%
-  Offset 24: 2.52%
Period 26:
-  Offset 0: 14.66%
-  Offset 1: 0.06%
-  Offset 2: 0.62%
-  Offset 3: 0.01%
-  Offset 4: 0.74%
-  Offset 5: 23.4%
-  Offset 6: 1.02%
-  Offset 7: 1.15%
-  Offset 8: 0%
-  Offset 9: 0.52%
-  Offset 10: 0.01%
-  Offset 11: 0.05%
-  Offset 12: 0.17%
-  Offset 13: 6.12%
-  Offset 14: 0.39%
-  Offset 15: 1.53%
-  Offset 16: 8.48%
-  Offset 17: 0.01%
-  Offset 18: 14.23%
-  Offset 19: 0.27%
-  Offset 20: 0.12%
-  Offset 21: 16.46%
-  Offset 22: 0.11%
-  Offset 23: 3.64%
-  Offset 24: 0.34%
-  Offset 25: 0.11%
Period 27:
-  Offset 0: 0%
-  Offset 1: 0.5%
-  Offset 2: 0.03%
-  Offset 3: 0.05%
-  Offset 4: 1.42%
-  Offset 5: 0.11%
-  Offset 6: 14.61%
-  Offset 7: 1.09%
-  Offset 8: 1.78%
-  Offset 9: 5.05%
-  Offset 10: 1.97%
-  Offset 11: 0.12%
-  Offset 12: 0.76%
-  Offset 13: 6.7%
-  Offset 14: 0.01%
-  Offset 15: 0%
-  Offset 16: 0.17%
-  Offset 17: 10.56%
-  Offset 18: 11.62%
-  Offset 19: 0.31%
-  Offset 20: 2.14%
-  Offset 21: 45.11%
-  Offset 22: 1.1%
-  Offset 23: 25.39%
-  Offset 24: 0.13%
-  Offset 25: 0.14%
-  Offset 26: 0.55%
Period 28:
-  Offset 0: 0.73%
-  Offset 1: 1.3%
-  Offset 2: 1.57%
-  Offset 3: 0.66%
-  Offset 4: 0.67%
-  Offset 5: 4.53%
-  Offset 6: 3%
-  Offset 7: 1.02%
-  Offset 8: 0.17%
-  Offset 9: 3.12%
-  Offset 10: 5.84%
-  Offset 11: 0%
-  Offset 12: 1.97%
-  Offset 13: 0.45%
-  Offset 14: 1.8%
-  Offset 15: 23.07%
-  Offset 16: 0.14%
-  Offset 17: 0%
-  Offset 18: 4.74%
-  Offset 19: 5.34%
-  Offset 20: 5.37%
-  Offset 21: 5.73%
-  Offset 22: 0.21%
-  Offset 23: 0%
-  Offset 24: 0.01%
-  Offset 25: 6.71%
-  Offset 26: 0%
-  Offset 27: 5.05%
Period 29:
-  Offset 0: 5.59%
-  Offset 1: 4.58%
-  Offset 2: 0.8%
-  Offset 3: 4.41%
-  Offset 4: 0.16%
-  Offset 5: 7.5%
-  Offset 6: 0.19%
-  Offset 7: 0.54%
-  Offset 8: 0.06%
-  Offset 9: 5.33%
-  Offset 10: 1.67%
-  Offset 11: 0.01%
-  Offset 12: 0.19%
-  Offset 13: 0.35%
-  Offset 14: 3.03%
-  Offset 15: 0.59%
-  Offset 16: 0.13%
-  Offset 17: 11.63%
-  Offset 18: 5.44%
-  Offset 19: 0%
-  Offset 20: 1.76%
-  Offset 21: 0.94%
-  Offset 22: 0.39%
-  Offset 23: 1.45%
-  Offset 24: 11.14%
-  Offset 25: 0.15%
-  Offset 26: 0.28%
-  Offset 27: 1.19%
-  Offset 28: 0.76%
Period 30:
-  Offset 0: 0.29%
-  Offset 1: 10.49%
-  Offset 2: 0.02%
-  Offset 3: 2.81%
-  Offset 4: 20.44%
-  Offset 5: 0.23%
-  Offset 6: 14.02%
-  Offset 7: 0.43%
-  Offset 8: 0%
-  Offset 9: 0.2%
-  Offset 10: 0.24%
-  Offset 11: 3.04%
-  Offset 12: 1.49%
-  Offset 13: 0.23%
-  Offset 14: 2.62%
-  Offset 15: 5.31%
-  Offset 16: 0.35%
-  Offset 17: 26.3%
-  Offset 18: 1.51%
-  Offset 19: 3.43%
-  Offset 20: 4.99%
-  Offset 21: 0.32%
-  Offset 22: 1.85%
-  Offset 23: 20.85%
-  Offset 24: 0.11%
-  Offset 25: 0.03%
-  Offset 26: 15.92%
-  Offset 27: 0.09%
-  Offset 28: 1.02%
-  Offset 29: 0.05%
Period 31:
-  Offset 0: 0.1%
-  Offset 1: 3.48%
-  Offset 2: 0.02%
-  Offset 3: 1.56%
-  Offset 4: 0.05%
-  Offset 5: 0%
-  Offset 6: 0.66%
-  Offset 7: 13.54%
-  Offset 8: 9.64%
-  Offset 9: 2.79%
-  Offset 10: 0.91%
-  Offset 11: 0.36%
-  Offset 12: 17.26%
-  Offset 13: 0.55%
-  Offset 14: 6.85%
-  Offset 15: 0.19%
-  Offset 16: 40.07%
-  Offset 17: 1.34%
-  Offset 18: 0.05%
-  Offset 19: 0.15%
-  Offset 20: 0.6%
-  Offset 21: 0.22%
-  Offset 22: 0.95%
-  Offset 23: 0%
-  Offset 24: 0.47%
-  Offset 25: 4.3%
-  Offset 26: 4.63%
-  Offset 27: 33.86%
-  Offset 28: 10.08%
-  Offset 29: 1.71%
-  Offset 30: 0.02%
Period 32:
-  Offset 0: 4.15%
-  Offset 1: 16.5%
-  Offset 2: 0.02%
-  Offset 3: 18.58%
-  Offset 4: 0.05%
-  Offset 5: 1.21%
-  Offset 6: 3.62%
-  Offset 7: 4.10%
-  Offset 8: 6.01%
-  Offset 9: 0.01%
-  Offset 10: 4.72%
-  Offset 11: 7.99%
-  Offset 12: 0.54%
-  Offset 13: 0.53%
-  Offset 14: 0.26%
-  Offset 15: 0.02%
-  Offset 16: 0.13%
-  Offset 17: 0.1%
-  Offset 18: 0.13%
-  Offset 19: 0.48%
-  Offset 20: 26.83%
-  Offset 21: 4.17%
-  Offset 22: 0.62%
-  Offset 23: 17.36%
-  Offset 24: 1.17%
-  Offset 25: 11.92%
-  Offset 26: 3.26%
-  Offset 27: 0%
-  Offset 28: 0%
-  Offset 29: 2.56%
-  Offset 30: 43.87%
-  Offset 31: 1.67%
Period 33:
-  Offset 0: 14.24%
-  Offset 1: 1.61%
-  Offset 2: 11.74%
-  Offset 3: 0.05%
-  Offset 4: 2.4%
-  Offset 5: 0.13%
-  Offset 6: 4.04%
-  Offset 7: 0.02%
-  Offset 8: 0%
-  Offset 9: 0.83%
-  Offset 10: 0.44%
-  Offset 11: 0.33%
-  Offset 12: 3.05%
-  Offset 13: 0.12%
-  Offset 14: 18.83%
-  Offset 15: 0.46%
-  Offset 16: 0.22%
-  Offset 17: 1.25%
-  Offset 18: 0.77%
-  Offset 19: 0.12%
-  Offset 20: 1.98%
-  Offset 21: 4.98%
-  Offset 22: 3.31%
-  Offset 23: 11.8%
-  Offset 24: 1.58%
-  Offset 25: 8.66%
-  Offset 26: 28.66%
-  Offset 27: 0.02%
-  Offset 28: 21.98%
-  Offset 29: 0.71%
-  Offset 30: 2.59%
-  Offset 31: 27.25%
-  Offset 32: 0.05%
Period 34:
-  Offset 0: 1.97%
-  Offset 1: 0.59%
-  Offset 2: 0.05%
-  Offset 3: 0%
-  Offset 4: 0.89%
-  Offset 5: 0.01%
-  Offset 6: 0%
-  Offset 7: 15.99%
-  Offset 8: 2.14%
-  Offset 9: 0.70%
-  Offset 10: 0.5%
-  Offset 11: 5.63%
-  Offset 12: 7.22%
-  Offset 13: 0.01%
-  Offset 14: 0.76%
-  Offset 15: 1.09%
-  Offset 16: 1.29%
-  Offset 17: 1.03%
-  Offset 18: 29.68%
-  Offset 19: 25.81%
-  Offset 20: 5.58%
-  Offset 21: 6.41%
-  Offset 22: 1.41%
-  Offset 23: 12.63%
-  Offset 24: 3.77%
-  Offset 25: 2.65%
-  Offset 26: 2.73%
-  Offset 27: 1.76%
-  Offset 28: 0.86%
-  Offset 29: 7.96%
-  Offset 30: 1.17%
-  Offset 31: 0.22%
-  Offset 32: 0.62%
-  Offset 33: 20.13%
Period 35:
-  Offset 0: 0.09%
-  Offset 1: 0%
-  Offset 2: 0.25%
-  Offset 3: 0%
-  Offset 4: 14.49%
-  Offset 5: 4.8%
-  Offset 6: 0.55%
-  Offset 7: 1.53%
-  Offset 8: 4.9%
-  Offset 9: 0.11%
-  Offset 10: 0.3%
-  Offset 11: 1.42%
-  Offset 12: 13.8%
-  Offset 13: 5.16%
-  Offset 14: 3.39%
-  Offset 15: 5.9%
-  Offset 16: 6.27%
-  Offset 17: 0.67%
-  Offset 18: 20.58%
-  Offset 19: 0.08%
-  Offset 20: 6.39%
-  Offset 21: 71.17%
-  Offset 22: 1.68%
-  Offset 23: 1.43%
-  Offset 24: 0.05%
-  Offset 25: 0.03%
-  Offset 26: 10.6%
-  Offset 27: 6.4%
-  Offset 28: 2.27%
-  Offset 29: 7.57%
-  Offset 30: 0.54%
-  Offset 31: 11.48%
-  Offset 32: 0.06%
-  Offset 33: 0%
-  Offset 34: 11.64%
Period 36:
-  Offset 0: 1.16%
-  Offset 1: 0.03%
-  Offset 2: 0.23%
-  Offset 3: 2.78%
-  Offset 4: 1.79%
-  Offset 5: 3.98%
-  Offset 6: 1.37%
-  Offset 7: 0.8%
-  Offset 8: 35.11%
-  Offset 9: 0.18%
-  Offset 10: 3.31%
-  Offset 11: 11.3%
-  Offset 12: 3.7%
-  Offset 13: 5.28%
-  Offset 14: 0.27%
-  Offset 15: 0.35%
-  Offset 16: 9.5%
-  Offset 17: 7.66%
-  Offset 18: 5.18%
-  Offset 19: 9.27%
-  Offset 20: 0.03%
-  Offset 21: 0.39%
-  Offset 22: 45.91%
-  Offset 23: 18.59%
-  Offset 24: 0.01%
-  Offset 25: 2.13%
-  Offset 26: 3.69%
-  Offset 27: 0.06%
-  Offset 28: 1.82%
-  Offset 29: 0.67%
-  Offset 30: 15.15%
-  Offset 31: 0.39%
-  Offset 32: 0.05%
-  Offset 33: 23.59%
-  Offset 34: 0%
-  Offset 35: 0.22%
Period 37:
-  Offset 0: 0.45%
-  Offset 1: 0.04%
-  Offset 2: 2.91%
-  Offset 3: 1.49%
-  Offset 4: 0.59%
-  Offset 5: 12.37%
-  Offset 6: 4.72%
-  Offset 7: 4.99%
-  Offset 8: 9.30%
-  Offset 9: 5.82%
-  Offset 10: 3.74%
-  Offset 11: 3.19%
-  Offset 12: 3.62%
-  Offset 13: 0.03%
-  Offset 14: 7.07%
-  Offset 15: 35.3%
-  Offset 16: 0.04%
-  Offset 17: 0.29%
-  Offset 18: 0.62%
-  Offset 19: 0.29%
-  Offset 20: 30.5%
-  Offset 21: 20.12%
-  Offset 22: 22.34%
-  Offset 23: 1%
-  Offset 24: 0%
-  Offset 25: 0.86%
-  Offset 26: 4.29%
-  Offset 27: 3.36%
-  Offset 28: 2.17%
-  Offset 29: 0.77%
-  Offset 30: 6.81%
-  Offset 31: 0.13%
-  Offset 32: 0.06%
-  Offset 33: 0.77%
-  Offset 34: 7.76%
-  Offset 35: 21.37%
-  Offset 36: 0%
Period 38:
-  Offset 0: 10.39%
-  Offset 1: 14.56%
-  Offset 2: 4.29%
-  Offset 3: 0.1%
-  Offset 4: 10.9%
-  Offset 5: 0.72%
-  Offset 6: 22.71%
-  Offset 7: 20.88%
-  Offset 8: 0.19%
-  Offset 9: 2.17%
-  Offset 10: 4.27%
-  Offset 11: 0.03%
-  Offset 12: 0%
-  Offset 13: 12.05%
-  Offset 14: 3.48%
-  Offset 15: 0.67%
-  Offset 16: 0.67%
-  Offset 17: 0.99%
-  Offset 18: 63.22%
-  Offset 19: 0.2%
-  Offset 20: 20.71%
-  Offset 21: 7.48%
-  Offset 22: 0.19%
-  Offset 23: 2.47%
-  Offset 24: 0.15%
-  Offset 25: 14.66%
-  Offset 26: 12.94%
-  Offset 27: 3.02%
-  Offset 28: 0.24%
-  Offset 29: 12.33%
-  Offset 30: 0.06%
-  Offset 31: 0%
-  Offset 32: 0.37%
-  Offset 33: 6.06%
-  Offset 34: 10.27%
-  Offset 35: 0.02%
-  Offset 36: 0%
-  Offset 37: 21.06%
Period 39:
-  Offset 0: 40.74%
-  Offset 1: 0.02%
-  Offset 2: 5.73%
-  Offset 3: 0.27%
-  Offset 4: 2.31%
-  Offset 5: 34.07%
-  Offset 6: 0.06%
-  Offset 7: 1.41%
-  Offset 8: 1.56%
-  Offset 9: 1.17%
-  Offset 10: 1.44%
-  Offset 11: 0.14%
-  Offset 12: 0.25%
-  Offset 13: 2.68%
-  Offset 14: 7.17%
-  Offset 15: 2.44%
-  Offset 16: 42.69%
-  Offset 17: 0.3%
-  Offset 18: 52.49%
-  Offset 19: 16.83%
-  Offset 20: 0.70%
-  Offset 21: 6.64%
-  Offset 22: 0.77%
-  Offset 23: 1.24%
-  Offset 24: 0.1%
-  Offset 25: 0.91%
-  Offset 26: 14.2%
-  Offset 27: 0.94%
-  Offset 28: 1.1%
-  Offset 29: 0.02%
-  Offset 30: 0.08%
-  Offset 31: 3.78%
-  Offset 32: 2.97%
-  Offset 33: 5.28%
-  Offset 34: 0.18%
-  Offset 35: 0.44%
-  Offset 36: 2.39%
-  Offset 37: 4.74%
-  Offset 38: 5.68%
Period 40:
-  Offset 0: 3.11%
-  Offset 1: 0.16%
-  Offset 2: 3.61%
-  Offset 3: 0.02%
-  Offset 4: 0.22%
-  Offset 5: 3.31%
-  Offset 6: 16.34%
-  Offset 7: 2.72%
-  Offset 8: 2.23%
-  Offset 9: 6.04%
-  Offset 10: 1.43%
-  Offset 11: 6.68%
-  Offset 12: 17.73%
-  Offset 13: 5.16%
-  Offset 14: 11.39%
-  Offset 15: 0.44%
-  Offset 16: 16.44%
-  Offset 17: 1.44%
-  Offset 18: 0%
-  Offset 19: 3.88%
-  Offset 20: 0.54%
-  Offset 21: 13.86%
-  Offset 22: 1.11%
-  Offset 23: 16.83%
-  Offset 24: 13.53%
-  Offset 25: 1.1%
-  Offset 26: 4.63%
-  Offset 27: 0.82%
-  Offset 28: 0.05%
-  Offset 29: 0.06%
-  Offset 30: 1.92%
-  Offset 31: 12.33%
-  Offset 32: 0.06%
-  Offset 33: 33.39%
-  Offset 34: 7.63%
-  Offset 35: 1.05%
-  Offset 36: 6.03%
-  Offset 37: 12.56%
-  Offset 38: 6.17%
-  Offset 39: 1.05%
User avatar
Jarlve
 
Posts: 1462
Joined: Sun Sep 07, 2014 9:51 am
Location: Belgium

Re: Route Transposition and Phenomenon

Postby smokie treats » Sun Jul 23, 2017 5:28 pm

I am watching and will be taking a closer look soon. Thanks.
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smokie treats
 
Posts: 1157
Joined: Thu Feb 19, 2015 1:34 pm
Location: Lawrence, Kansas

Re: Route Transposition and Phenomenon

Postby smokie treats » Sun Jul 23, 2017 7:01 pm

Are you shuffling symbols at regular intervals to find out if there is an increase in cycle scores, trying to find perhaps a part of the message that is not encoded as part of the cycles? I don't quite understand what offset 21 means.

There is a coincidence count spike, a spike of period 35 unigram repeats. Below left are the period 19 LRTB repeat symbols that have the same symbols as period 16 repeat symbols RLBT. Below right are the period 16 RLBT symbols that have the same symbols as period 19 LRTB repeat symbols. But on the lower right corner of the lower right picture, the symbols highlighted appear in period 35 patters, the strange herringbone pattern. It is right 1, down 2. Not sure if this is relevant to what you are talking about.

discussion.7.23.2017.1.png


EDIT: The herringbone pattern are the symbols not colored.
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smokie treats
 
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