Yes, we did discuss this idea a long time ago. I called it merging symbols based on how they cycle together. It is interesting that the period 19 spike doesn’t show up. I haven’t checked it yet. But here are five messages, all the same plaintext and with one polyphone, 0%, 10%, 20%, 30% and 40% random symbol selection. And transposition period is 20, the inscription rectangle is 17 x 20. I would like to see what happens.
A. 0%; spike at period 20 with 60 bigram matches
22 11 20 1 23 46 18 50 56 28 12 51 24 44 9 34 13
14 29 5 30 6 16 35 36 15 11 38 12 25 57 11 52 53
22 42 23 7 37 13 24 14 54 26 50 32 45 27 47 34 15
35 21 39 11 2 20 40 41 8 26 7 36 25 21 3 38 11
33 19 37 18 4 17 22 44 1 32 51 2 12 3 23 31 13
34 55 11 14 15 5 61 19 24 58 4 56 11 18 54 27 55
52 28 16 25 48 29 53 60 12 39 11 50 22 10 13 33 23
49 24 46 25 11 40 47 1 48 20 43 51 54 45 22 30 23
26 62 57 14 31 15 49 35 44 52 36 41 11 12 53 45 11
46 28 8 24 47 13 61 29 25 32 19 44 21 11 33 32 45
14 44 50 51 6 15 30 31 62 38 22 52 39 59 11 12 33
13 40 14 45 41 20 21 15 2 11 3 38 55 37 23 44 24
48 32 4 53 49 34 50 7 11 1 45 35 12 56 54 58 18
46 13 28 51 39 29 20 52 8 21 27 5 53 14 9 10 15
33 25 42 47 17 9 6 48 40 11 50 11 2 49 12 59 5
3 58 46 61 30 13 41 55 19 14 51 16 36 20 22 37 38
47 21 39 31 23 24 34 11 40 32 35 4 7 10 1 18 44
52 19 17 53 15 45 28 29 59 2 50 43 54 51 33 3 4
30 18 25 11 11 16 42 36 37 52 31 22 32 44 11 8 20
12 55 34 28 23 29 48 53 58 1 24 25 21 6 30 13 62
B. 10%; 61 matches
22 11 20 1 25 46 18 50 56 28 12 51 24 44 9 34 13
14 29 5 30 6 16 35 35 15 11 38 12 25 57 11 52 53
22 42 23 7 37 13 24 14 54 26 50 32 45 27 47 34 15
35 21 39 11 2 20 40 41 8 26 7 36 23 21 3 38 11
33 19 37 18 4 17 22 44 1 32 51 2 15 3 23 31 13
34 55 30 14 14 5 62 19 24 58 4 56 13 18 54 26 55
52 28 16 25 48 29 53 60 12 39 11 50 22 10 13 32 23
49 11 46 25 11 40 47 1 48 20 43 51 54 45 22 28 23
26 62 57 14 30 15 49 35 44 52 36 41 11 12 53 45 11
46 30 7 24 47 13 61 29 25 32 19 44 21 11 33 32 45
14 45 52 51 6 15 30 31 62 38 22 52 39 59 11 12 33
13 40 13 45 39 20 21 15 2 11 3 38 55 36 11 44 24
48 33 4 53 49 34 50 7 11 1 45 35 12 56 54 58 18
46 13 28 51 39 29 20 52 8 21 27 5 53 14 9 10 15
33 25 42 47 17 9 6 46 40 11 50 11 2 48 12 59 5
3 58 46 61 30 13 41 55 19 14 51 16 36 20 22 37 38
47 21 39 31 23 24 34 11 40 32 35 4 7 10 1 18 45
52 19 16 53 15 45 28 29 58 2 53 43 54 51 33 3 4
30 19 25 11 11 16 42 37 37 52 31 22 32 44 11 8 20
12 55 34 28 23 29 48 53 58 1 24 25 21 6 30 13 62
C. 20%; 65 matches
22 13 20 1 23 46 18 50 56 28 12 51 25 44 9 34 13
11 29 6 30 6 16 35 36 15 11 38 12 25 57 11 52 53
22 42 24 7 37 13 25 14 54 26 50 32 45 27 47 34 15
35 21 39 11 2 21 40 41 8 26 7 34 22 21 4 39 11
33 19 37 18 4 17 22 44 1 32 51 2 12 3 25 31 13
34 55 30 14 15 5 61 19 24 58 4 56 11 18 54 27 55
52 28 16 25 48 29 53 60 12 39 23 51 22 10 13 33 23
49 24 48 25 11 40 47 1 48 20 43 51 54 45 22 30 25
27 62 57 14 31 15 49 35 44 52 36 41 11 12 53 45 11
46 28 7 24 47 13 61 29 25 32 19 44 21 11 32 33 45
14 44 50 50 6 15 30 30 62 40 23 52 39 59 11 13 33
13 40 14 45 41 20 21 13 2 11 4 38 55 37 23 44 24
47 32 4 53 49 34 50 7 11 2 45 37 15 56 54 59 18
46 14 28 51 39 30 20 52 8 21 27 5 53 12 9 10 15
33 25 42 48 17 10 6 48 40 11 50 11 2 49 11 59 5
3 58 46 61 30 11 40 55 19 14 51 16 36 20 22 37 38
47 21 39 11 23 24 34 11 38 33 35 2 7 10 1 19 44
51 19 17 53 15 45 28 29 59 1 50 43 55 51 33 3 4
30 18 25 11 11 16 42 36 37 52 29 22 32 44 11 8 20
12 55 34 11 23 29 48 51 58 3 24 25 21 5 30 13 62
D. 30%; 64 matches
22 11 21 1 23 46 18 50 57 28 12 51 24 44 10 34 13
14 28 5 30 6 16 35 36 15 15 38 12 25 57 11 52 50
22 42 23 7 37 15 25 12 54 26 53 32 45 27 47 35 15
35 21 39 11 2 21 41 41 8 26 7 36 25 21 4 38 11
33 19 36 19 4 17 22 44 1 33 51 2 12 3 23 30 13
34 55 11 14 15 5 62 19 11 58 4 56 12 18 54 27 54
52 28 16 25 48 31 53 60 14 38 25 50 22 10 12 33 23
49 24 48 25 11 40 47 1 48 20 43 51 54 45 22 30 23
26 62 57 11 29 15 49 35 44 52 36 41 11 12 53 45 31
46 28 8 24 47 13 61 30 23 32 19 45 21 11 32 32 45
14 44 50 50 6 15 30 31 62 38 22 52 39 59 11 11 33
13 39 12 45 41 20 21 15 4 11 3 38 54 37 23 44 24
48 32 4 53 49 34 50 8 11 1 44 35 12 56 54 58 18
48 14 30 51 39 29 20 51 8 21 27 5 53 11 9 10 15
33 25 42 48 17 9 6 48 38 11 50 11 2 49 12 59 5
3 59 46 61 30 13 41 55 18 14 52 16 36 20 25 37 38
47 21 39 31 23 25 34 29 40 32 35 4 8 10 1 18 44
52 19 17 52 13 44 28 11 59 4 50 42 54 51 33 4 4
30 18 25 11 11 16 42 36 37 52 31 22 32 44 29 8 21
12 55 34 28 11 29 48 53 58 1 24 23 21 6 29 13 61
E. 40%; 66 matches
22 11 20 1 23 46 18 50 57 28 12 51 24 45 9 34 12
14 28 5 29 6 16 37 36 15 11 38 15 11 56 11 52 53
22 42 11 8 37 13 24 15 54 26 50 32 45 27 47 35 15
35 21 39 11 1 21 40 41 8 26 7 36 25 21 2 40 11
32 19 37 18 2 17 22 44 1 32 53 2 12 1 23 31 13
36 55 11 12 15 6 61 18 24 58 4 57 15 18 54 27 55
52 28 16 25 48 29 53 60 12 41 22 50 22 10 13 33 23
49 24 47 22 11 40 47 1 47 20 43 53 54 45 22 30 23
26 62 56 14 31 15 47 35 45 52 36 41 11 12 50 44 11
46 29 8 23 46 15 61 29 24 32 19 44 21 11 33 32 45
11 45 50 53 6 15 30 31 62 38 22 52 39 59 11 13 33
13 40 14 45 39 20 21 15 2 11 3 38 55 37 11 44 24
47 33 4 53 47 37 50 7 11 4 45 35 12 56 54 58 19
46 11 31 51 39 31 20 50 7 20 27 5 53 14 9 10 15
33 25 43 47 17 9 6 46 39 11 50 11 2 49 12 58 5
2 58 46 61 30 13 41 54 19 14 51 17 37 20 11 37 38
47 21 39 31 25 24 34 28 40 32 35 3 7 10 1 19 44
50 19 17 53 15 45 28 29 59 2 52 43 54 51 32 3 1
30 19 25 11 11 16 42 35 37 52 31 11 32 45 30 8 21
12 55 34 28 25 28 46 53 58 1 24 25 21 6 30 11 62
Smokie my thoughts are not with a deliberate pivot implementation by z. Because i dont think he would give a clue or direction and i dont think his skill set was much more than basic training and or books. my untrained opinion only. oh and if it is a clue or direction its not a very good one.. it has not helped…. my brain hurts.
Good point. My brain hurts too. 
Jarlve, you are really working hard lately. I liked the story about Juana Barraza. What a very strange person.
Learning / skill curves are not always smooth. Sometimes they spike. It seems like your curve is really spiking right now!
Trifid + Homophonic
A few weeks ago I made a spreadsheet that generated trifid + homophonic cryptograms.
Bifid and trifid are fractionation ciphers but also are very simple route transpositions. I was wondering about trifid because the letters are fractionated into only three digits instead of five for bifid, and wondering if I could create a period 15 / 29 bend.
I didn’t get that far. I encoded chunks of 45 letters to try to make period 15 repeats. It was easy to do with about 50-55 symbols, but very difficult with 60+ symbols, even with one homophonic polyphone.
Without much discussion, I would have to say that a traditional trifid transposition is not possible. Perhaps some other fractionation with a different transposition maybe, but not the classical.
For the 340 cycles are collapsed as such. Note that its ioc is only 0.045 and that there is no bigram peak at period 19. I think that it means that either cycles were far from correctly collapsed or that period 19 is random:
VWQRXQMTSPFWNVAGP IXUOANDSCLRABMQTL OKSFQUJRALALNNGVJ IXXRMQPMTSXDUUQQG CMQUGMHPFEDSUHKPR XPQMDQDBMPWPDRGCA NEUQHSCGJFCATAGNF AAGJTHNDUCIRGUHNM PBQUYURQGDOFKHYKQ BGQJTUMJUDXRBDOKB JUQREMWFCROXYVQQD GBFQQJFMEVKQAUHOD GYMIKNUIFEDOFACPQ QADIMTEGKYAFTKMUU KOCWMSKMWWRTJREBU FFASGOQADXMATQHAG QFVUNWYWBUDQLOFLN UULLWGLFSDIVVRALX FDPPLBRMOCRDOMBWF RQCVIXPIGRDPHFQCUWith the following plaintext to ciphertext key and cycles:
Input to output key: -------------------------------------------------------- V: HTHTTTHTH (60) W: E1CE1CE1CCC (126) Q: RlKMlRKMRlKMRKlRMKlRMRlKMRlMK (1368) R: >YZ7/>YZ7/Y>Z/7Y>Z (660) X: ppppppppppp (110) M: ^*^*9t^*9^t*9^t*9^t* (728) T: VfVVfVfVVf (84) S: P%:3P%:3P (120) P: kd8dk8dkd8kdk8 (216) F: |c|c|c|c||cc|cc|c|c| (480) N: L#L##L#L#LL (112) A: G(.G((G.(G.(G..(.G( (396) G: 2z2z22z2z2z2z2z2zz (420) I: NSNSNNSNS (84) U: ++++++++++++++++++++++++ (552) O: BBBBBBBBBBBB (132) D: OOFFOFOFOFOFFFOFOFOO (364) C: D_D;X_D;X_D; (224) L: W)W)W))WW)W (112) B: <-<-<-<-<<- (144) K: y4y4y4y44y4 (144) J: UJUJUJUJU (112) H: j&qj@A&qA (30) E: 5555555 (42) Y: b6b6b6 (40) -------------------- Cycle score: 6860
Hang on a second. I put this into my spreadsheet. There is not a spike at period 19 for bigram repeats. However, if you look at the average probability scores, there is indeed a spike at period 19. If you score all of the bigram repeats at each period according to probability, according to how many symbols there are total but for each repeat, and take an average of all scores, then there is a spike at period 19.
Is the original transposition scheme leaking through?!
Hang on a second. I put this into my spreadsheet. There is not a spike at period 19 for bigram repeats. However, if you look at the average probability scores, there is indeed a spike at period 19. If you score all of the bigram repeats at each period according to probability, according to how many symbols there are total but for each repeat, and take an average of all scores, then there is a spike at period 19.
Is the original transposition scheme leaking through?!
That is interesting, how about period 15?
Here are the results for smokie60abcde and also a slightly improved result for the 340: https://drive.google.com/open?id=0B5r0r … jhCbU43NDQ
Smokie60a solves very well, the others do not. Smokie60c scores close to the 340. Smokie60abcd all have distinct ngram peaks at period 20, smokie60e not so much.
I really do not know what to think of the 340 since smokie60c scores close to the 340 and does have a distinct ngram peak at its period.
That is interesting, how about period 15?
Yes, there is a spike at period 15.
Here are the results for smokie60abcde and also a slightly improved result for the 340: https://drive.google.com/open?id=0B5r0r … jhCbU43NDQ
Thank you. I made those messages without checking to make sure that they had probability spikes. I made them to see what percentage of randomization would make the bigram repeat spike undetectable after merging the cycles. Then I thought to check the 340 for a probability spike.
Smokie60a solves very well, the others do not. Smokie60c scores close to the 340. Smokie60abcd all have distinct ngram peaks at period 20, smokie60e not so much.
I really do not know what to think of the 340 since smokie60c scores close to the 340 and does have a distinct ngram peak at its period.
It seems that a bigram repeat spike can become undetectable at about 40% randomization. But would feel more comfortable after doing this with a lot more messages and detailed statistics. Not asking you to do that though. I think that merging the cycles may not be as good for solving as the other method, but maybe it has some value for detection that you didn’t intend.
I am very excited about this development. I will check other aspects of your new collapsed 340, and then smokie60abcde, and then would like to test a handful of other very specifically crafted messages that I make if that is o.k. with you. Thanks a lot for doing this, I find it very encouraging. I have been thinking a lot lately, not so much doing.
Here is the new collapsed 340 as you provided it in Google Docs. Just putting it here for my future convenience.
R O V J G V E X F W U O I R K S W
M G Z Y K I H L D P J K H E V X P
Y A F U V Z N J K P K P I I S R N
M G G J E V W E X F G H Z Z V V S
D E V Z S E L W U B T F Z L A W J
G W V E T V H N E W O W T J S D K
I B Z V L L D S N U D K X K S I U
K K S N X L I H Z D M J S Z Q I E
W H V Z C Z J V S T Y U A F C A V
N S V N X Z E N Z H G J H T Y A N
N Z V J B E O U D J Y G C R V V H
S H U V V N U E B R A V K Z L Y T
S C E M A I Z M U B T Y U K D W V
V K T M E X B S A C K U X A E Z Z
A Y D O E F A E O O J X N J B N Z
U U K F S Y V K H G E K X V L K S
V U R Z I O C O H Z T V P Y U P I
Z Z P P O S P U F H M R R J K P G
U T W W P H J E Y D J H Y E N O U
J V D R M G W M S J H W F U V D Z
I checked it for unigram repeats or coincidence count spike. There is still a spike at period 78, and period 39 is in a three way tie for second place.
Top is English expected frequencies, bottom is collapsed 340 frequencies, a smoother graph with more symbols. Is your program set to find 26 cycles, or can it find a varying count of cycles to merge?
EDIT: I see that 60a and 60b have 25 symbols, and 60c and 60d have 26 symbols. I guess that answers my question? I guess my first question is how reliable is the symbol count, the number of cycles that are merged, and is that related to randomization? I would like to know that first because the frequency distribution for the collapsed 340 is not the same as the English language, it is more indicative of a diffusion before homophonic substitution.
Top is English expected frequencies, bottom is collapsed 340 frequencies, a smoother graph with more symbols. Is your program set to find 26 cycles, or can it find a varying count of cycles to merge?
EDIT: I see that 60a and 60b have 25 symbols, and 60c and 60d have 26 symbols. I guess that answers my question? I guess my first question is how reliable is the symbol count, the number of cycles that are merged, and is that related to randomization? I would like to know that first because the frequency distribution for the collapsed 340 is not the same as the English language, it is more indicative of a diffusion before homophonic substitution.
Heh, I was just planning to explain that with some new results. Collapse homophones has a user variable alphabet size/symbol count. The amount of symbols it uses is indeed related to the randomization, as it will try to expedite cipher symbols that do not cycle well with others as 1:1 substitutions. That affects the frequency distribution, as you well pointed out.
The cool thing is that setting the alphabet size equal to the amount of cipher symbols will give the algorithm total freedom and it will only assume cycles it likes. Thus, increasing the chance that true cycles are merged. It worked very well on smokie60e, a cipher with about 40% randomization.
It used 49 symbols and its period is now distinct:
13 36 25 12 58 3 32 25 53 26 18 44 28 15 11 38 18 56 26 37 21 54 4 42 33 10 36 51 10 36 48 36 50 28 13 62 36 16 42 27 28 10 27 43 25 12 15 1 31 60 10 60 45 3 36 12 45 17 17 16 43 35 33 6 45 41 17 36 12 19 42 32 41 8 13 39 12 12 28 41 18 12 58 22 27 33 54 36 18 10 54 48 32 28 7 30 53 10 32 27 1 54 50 26 4 6 9 21 28 59 18 17 13 25 13 2 27 56 58 20 28 31 13 36 17 31 12 31 25 44 28 27 15 13 60 58 43 48 48 56 22 10 31 60 15 50 33 17 36 18 25 39 36 3 21 16 58 3 10 48 21 28 12 19 39 45 36 56 12 15 36 15 25 28 54 10 60 22 48 51 13 50 3 14 36 27 56 27 17 56 15 3 25 45 10 41 36 35 51 54 42 36 39 28 31 56 30 28 31 42 25 35 36 30 15 60 18 48 27 7 19 3 36 22 44 3 22 25 25 35 25 1 37 28 56 11 2 10 56 6 44 31 8 11 54 3 3 36 25 36 41 20 18 7 37 41 7 3 48 60 27 17 27 19 56 44 8 42 25 36 42 51 31 45 3 22 6 28 38 26 17 12 60 35 35 2 12 19 39 25 19 8 28 10 15 26 21 14 41 50 44 27 44 12 35 12 60 19 6 36 36 4 62 60 42 50 22 36 12 15 60 16 45 18 54 38 26 6 26 3 28 7 12 28 6 45 54 60 36 48 AZdecrypt plaintext direction stats for: smokie60e.txt -------------------------------------------------------- - Attempts to detect the plaintext direction from the input using ngrams. - A higher score may be more indicative of the direction. Directional: (transposition, untransposition) -------------------------------------------------------- Normal: 40, 40 Mirror: 39, 39 Flip: 39, 39 Reverse: 40, 40 -------------------------------------------------------- Columnar 1: 72, 39 <--- Columnar 2: 68, 39 Columnar 3: 68, 39 Columnar 4: 72, 39 <--- -------------------------------------------------------- Diagonal 1: 47, 43 Diagonal 2: 40, 46 Diagonal 3: 40, 44 Diagonal 4: 46, 51 <--- Diagonal 5: 46, 51 <--- Diagonal 6: 40, 44 Diagonal 7: 40, 46 Diagonal 8: 47, 43 -------------------------------------------------------- Transposition average: 49 Untransposition average: 42.62 Offset row order: (transposition) -------------------------------------------------------- Offset row order 0: 40 <--- Offset row order 1: 40 <--- Offset row order 2: 39 Offset row order 3: 40 <--- Offset row order 4: 40 <--- Offset row order 5: 40 <--- Offset row order 6: 40 <--- Offset row order 7: 40 <--- Offset row order 8: 39 Offset row order 9: 40 <--- Offset row order 10: 40 <--- Offset row order 11: 40 <--- Offset row order 12: 40 <--- Offset row order 13: 40 <--- Offset row order 14: 40 <--- Offset row order 15: 40 <--- Offset row order 16: 39 Offset row order 17: 39 Offset row order 18: 40 <--- Offset row order 19: 40 <--- -------------------------------------------------------- Transposition average: 39.8 Offset column order: (transposition) -------------------------------------------------------- Offset column order 0: 40 Offset column order 1: 36 Offset column order 2: 40 Offset column order 3: 41 Offset column order 4: 35 Offset column order 5: 37 Offset column order 6: 34 Offset column order 7: 40 Offset column order 8: 48 <--- Offset column order 9: 42 Offset column order 10: 40 Offset column order 11: 41 Offset column order 12: 37 Offset column order 13: 38 Offset column order 14: 40 Offset column order 15: 38 Offset column order 16: 38 -------------------------------------------------------- Transposition average: 39.11 Period row order: (transposition, untransposition) -------------------------------------------------------- Period row order 1: 40, 40 Period row order 2: 40, 40 Period row order 3: 41, 44 <--- Period row order 4: 40, 41 Period row order 5: 41, 40 Period row order 6: 43, 38 Period row order 7: 44, 41 <--- Period row order 8: 44, 40 <--- Period row order 9: 44, 41 <--- Period row order 10: 40, 40 Period row order 11: 41, 41 Period row order 12: 42, 38 Period row order 13: 41, 41 Period row order 14: 40, 42 Period row order 15: 41, 39 Period row order 16: 39, 41 Period row order 17: 39, 40 Period row order 18: 39, 39 Period row order 19: 41, 41 -------------------------------------------------------- Transposition average: 41.05 Untransposition average: 40.36 Period column order: (transposition, untransposition) -------------------------------------------------------- Period column order 1: 40, 40 Period column order 2: 32, 44 Period column order 3: 33, 52 <--- Period column order 4: 39, 44 Period column order 5: 51, 40 Period column order 6: 52, 33 Period column order 7: 40, 43 Period column order 8: 38, 38 Period column order 9: 44, 32 Period column order 10: 44, 43 Period column order 11: 34, 44 Period column order 12: 43, 35 Period column order 13: 58, 35 <--- Period column order 14: 53, 40 Period column order 15: 49, 41 Period column order 16: 54, 40 -------------------------------------------------------- Transposition average: 44 Untransposition average: 40.25 Periodic: (transposition, untransposition) -------------------------------------------------------- Period 1: 40, 40 Period 2: 46, 42 Period 3: 37, 43 Period 4: 37, 46 Period 5: 36, 42 Period 6: 52, 31 Period 7: 39, 38 Period 8: 36, 36 Period 9: 44, 32 Period 10: 43, 38 Period 11: 40, 44 Period 12: 34, 38 Period 13: 55, 52 Period 14: 39, 28 Period 15: 44, 50 Period 16: 35, 50 Period 17: 72, 39 <--- Period 18: 39, 41 Period 19: 43, 41 Period 20: 39, 72 <--- Period 21: 46, 37 Period 22: 55, 27 Period 23: 45, 35 Period 24: 35, 40 Period 25: 36, 41 Period 26: 47, 49 Period 27: 37, 43 Period 28: 47, 31 Period 29: 33, 32 Period 30: 39, 36 Period 31: 44, 40 Period 32: 45, 37 Period 33: 33, 39 Period 34: 38, 43 Period 35: 39, 41 Period 36: 29, 40 Period 37: 30, 41 Period 38: 31, 38 Period 39: 40, 42 Period 40: 39, 50 Period 41: 42, 37 Period 42: 37, 36 Period 43: 35, 46 Period 44: 42, 42 Period 45: 42, 56 Period 46: 36, 43 Period 47: 35, 34 Period 48: 32, 45 Period 49: 44, 39 Period 50: 41, 37 Period 51: 45, 38 Period 52: 44, 40 Period 53: 41, 40 Period 54: 40, 49 Period 55: 30, 38 Period 56: 31, 40 Period 57: 30, 37 Period 58: 28, 33 Period 59: 26, 37 Period 60: 25, 33 Period 61: 29, 43 Period 62: 33, 42 Period 63: 35, 41 Period 64: 38, 39 Period 65: 36, 41 Period 66: 38, 46 Period 67: 43, 36 Period 68: 42, 36 Period 69: 40, 34 Period 70: 47, 37 Period 71: 48, 31 Period 72: 46, 34 Period 73: 46, 42 Period 74: 41, 26 Period 75: 34, 40 Period 76: 32, 35 Period 77: 47, 41 Period 78: 48, 26 Period 79: 50, 31 Period 80: 50, 48 Period 81: 47, 32 Period 82: 48, 39 Period 83: 45, 44 Period 84: 45, 37 Period 85: 46, 37 Period 86: 47, 31 Period 87: 50, 38 Period 88: 49, 35 Period 89: 49, 39 Period 90: 48, 41 Period 91: 49, 41 Period 92: 50, 41 Period 93: 50, 39 Period 94: 50, 34 Period 95: 50, 37 Period 96: 54, 27 Period 97: 56, 34 Period 98: 45, 44 Period 99: 47, 36 Period 100: 48, 43 Period 101: 49, 33 Period 102: 50, 36 Period 103: 50, 40 Period 104: 48, 38 Period 105: 48, 27 Period 106: 46, 38 Period 107: 49, 32 Period 108: 47, 46 Period 109: 47, 32 Period 110: 45, 51 Period 111: 42, 44 Period 112: 41, 39 Period 113: 43, 42 Period 114: 45, 51 Period 115: 46, 39 Period 116: 45, 41 Period 117: 43, 39 Period 118: 45, 36 Period 119: 42, 31 Period 120: 40, 37 Period 121: 40, 46 Period 122: 39, 48 Period 123: 39, 41 Period 124: 37, 33 Period 125: 35, 46 Period 126: 35, 36 Period 127: 35, 39 Period 128: 36, 39 Period 129: 40, 45 Period 130: 36, 33 Period 131: 34, 43 Period 132: 33, 32 Period 133: 33, 32 Period 134: 35, 43 Period 135: 37, 31 Period 136: 37, 52 Period 137: 38, 34 Period 138: 38, 48 Period 139: 43, 37 Period 140: 45, 50 Period 141: 46, 41 Period 142: 41, 32 Period 143: 40, 29 Period 144: 40, 48 Period 145: 40, 48 Period 146: 39, 34 Period 147: 40, 35 Period 148: 40, 39 Period 149: 39, 50 Period 150: 37, 25 Period 151: 37, 38 Period 152: 37, 44 Period 153: 37, 34 Period 154: 38, 34 Period 155: 38, 29 Period 156: 40, 34 Period 157: 41, 41 Period 158: 41, 33 Period 159: 39, 38 Period 160: 39, 39 Period 161: 39, 40 Period 162: 38, 43 Period 163: 36, 35 Period 164: 34, 36 Period 165: 34, 36 Period 166: 43, 36 Period 167: 43, 32 Period 168: 42, 40 Period 169: 41, 42 Period 170: 42, 46 Period 171: 40, 36 Period 172: 40, 48 Period 173: 41, 36 Period 174: 42, 31 Period 175: 42, 31 Period 176: 42, 31 Period 177: 45, 32 Period 178: 42, 27 Period 179: 42, 43 Period 180: 42, 42 Period 181: 42, 36 Period 182: 43, 39 Period 183: 42, 50 Period 184: 42, 46 Period 185: 42, 41 Period 186: 42, 29 Period 187: 42, 44 Period 188: 43, 34 Period 189: 44, 43 Period 190: 45, 26 Period 191: 45, 35 Period 192: 45, 48 Period 193: 46, 46 Period 194: 46, 45 Period 195: 46, 47 Period 196: 46, 48 Period 197: 45, 51 Period 198: 44, 39 Period 199: 43, 31 Period 200: 45, 37 Period 201: 46, 32 Period 202: 46, 40 Period 203: 47, 34 Period 204: 47, 30 Period 205: 46, 31 Period 206: 48, 29 Period 207: 48, 35 Period 208: 52, 37 Period 209: 50, 36 Period 210: 49, 44 Period 211: 49, 35 Period 212: 51, 32 Period 213: 51, 39 Period 214: 51, 33 Period 215: 51, 40 Period 216: 51, 37 Period 217: 53, 50 Period 218: 53, 29 Period 219: 53, 32 Period 220: 50, 36 Period 221: 49, 33 Period 222: 48, 41 Period 223: 47, 33 Period 224: 48, 29 Period 225: 48, 38 Period 226: 48, 39 Period 227: 47, 34 Period 228: 48, 40 Period 229: 47, 46 Period 230: 47, 31 Period 231: 46, 41 Period 232: 45, 42 Period 233: 46, 42 Period 234: 46, 37 Period 235: 46, 40 Period 236: 47, 36 Period 237: 47, 31 Period 238: 46, 46 Period 239: 46, 37 Period 240: 46, 28 Period 241: 47, 37 Period 242: 47, 39 Period 243: 48, 33 Period 244: 48, 38 Period 245: 49, 38 Period 246: 50, 45 Period 247: 51, 44 Period 248: 51, 39 Period 249: 50, 41 Period 250: 50, 33 Period 251: 50, 38 Period 252: 50, 26 Period 253: 49, 42 Period 254: 50, 37 Period 255: 49, 35 Period 256: 51, 42 Period 257: 48, 33 Period 258: 49, 37 Period 259: 53, 28 Period 260: 52, 27 Period 261: 52, 33 Period 262: 52, 29 Period 263: 52, 36 Period 264: 52, 30 Period 265: 49, 38 Period 266: 48, 33 Period 267: 47, 30 Period 268: 47, 40 Period 269: 46, 36 Period 270: 46, 35 Period 271: 46, 38 Period 272: 46, 38 Period 273: 46, 36 Period 274: 45, 42 Period 275: 45, 27 Period 276: 44, 33 Period 277: 44, 35 Period 278: 43, 42 Period 279: 44, 36 Period 280: 45, 30 Period 281: 45, 27 Period 282: 46, 31 Period 283: 46, 43 Period 284: 47, 33 Period 285: 47, 36 Period 286: 46, 40 Period 287: 47, 36 Period 288: 46, 39 Period 289: 46, 51 Period 290: 45, 28 Period 291: 45, 39 Period 292: 45, 41 Period 293: 45, 44 Period 294: 46, 41 Period 295: 39, 39 Period 296: 35, 49 Period 297: 35, 39 Period 298: 35, 42 Period 299: 35, 38 Period 300: 35, 43 Period 301: 35, 39 Period 302: 35, 39 Period 303: 35, 41 Period 304: 35, 34 Period 305: 35, 43 Period 306: 36, 35 Period 307: 36, 39 Period 308: 35, 40 Period 309: 36, 39 Period 310: 36, 41 Period 311: 36, 38 Period 312: 36, 39 Period 313: 37, 41 Period 314: 38, 32 Period 315: 39, 41 Period 316: 40, 37 Period 317: 40, 38 Period 318: 41, 34 Period 319: 41, 33 Period 320: 41, 35 Period 321: 41, 34 Period 322: 40, 39 Period 323: 39, 35 Period 324: 39, 36 Period 325: 39, 34 Period 326: 41, 35 Period 327: 41, 35 Period 328: 42, 36 Period 329: 41, 36 Period 330: 41, 36 Period 331: 40, 36 Period 332: 40, 35 Period 333: 40, 34 Period 334: 40, 39 Period 335: 41, 34 Period 336: 41, 38 Period 337: 40, 39 Period 338: 41, 40 Period 339: 42, 39 Period 340: 40, 40 -------------------------------------------------------- Transposition average: 42.82 Untransposition average: 38.10 Randomize order: (by characters, rows, columns) -------------------------------------------------------- Trial 1: 47, 44, 51 Trial 2: 47, 41, 34 Trial 3: 45, 40, 41 Trial 4: 38, 46, 41 Trial 5: 42, 45, 39 Trial 6: 34, 43, 43 Trial 7: 37, 45, 51 Trial 8: 35, 45, 46 Trial 9: 40, 41, 40 Trial 10: 46, 41, 26 Trial 11: 32, 40, 55 <--- Trial 12: 34, 39, 42 Trial 13: 42, 39, 51 Trial 14: 38, 40, 39 Trial 15: 45, 38, 45 Trial 16: 35, 38, 41 Trial 17: 50, 38, 44 Trial 18: 40, 39, 32 Trial 19: 38, 42, 37 Trial 20: 40, 42, 40 Trial 21: 46, 39, 40 Trial 22: 38, 46, 35 Trial 23: 48, 45, 41 Trial 24: 39, 42, 38 Trial 25: 31, 41, 39 Trial 26: 32, 43, 39 Trial 27: 35, 42, 36 Trial 28: 41, 42, 41 Trial 29: 37, 43, 26 Trial 30: 42, 44, 47 Trial 31: 33, 43, 43 Trial 32: 36, 42, 39 Trial 33: 41, 42, 44 Trial 34: 39, 44, 37 Trial 35: 43, 41, 30 Trial 36: 41, 41, 42 Trial 37: 40, 47, 33 Trial 38: 39, 41, 49 Trial 39: 43, 39, 35 Trial 40: 43, 41, 43 Trial 41: 49, 41, 37 Trial 42: 40, 40, 37 Trial 43: 40, 42, 42 Trial 44: 39, 40, 42 Trial 45: 41, 46, 34 Trial 46: 37, 44, 34 Trial 47: 45, 43, 41 Trial 48: 42, 37, 46 Trial 49: 29, 38, 32 Trial 50: 42, 45, 41 Trial 51: 28, 41, 43 Trial 52: 31, 38, 45 Trial 53: 26, 48, 34 <--- Trial 54: 38, 40, 37 Trial 55: 42, 40, 40 Trial 56: 47, 44, 41 Trial 57: 35, 40, 34 Trial 58: 33, 39, 39 Trial 59: 40, 43, 34 Trial 60: 43, 46, 32 Trial 61: 41, 41, 44 Trial 62: 38, 43, 36 Trial 63: 32, 41, 42 Trial 64: 43, 43, 37 Trial 65: 41, 46, 36 Trial 66: 31, 43, 35 Trial 67: 48, 42, 41 Trial 68: 35, 39, 35 Trial 69: 34, 40, 36 Trial 70: 45, 40, 35 Trial 71: 38, 42, 51 Trial 72: 40, 43, 38 Trial 73: 33, 42, 33 Trial 74: 43, 40, 43 Trial 75: 31, 41, 51 Trial 76: 34, 38, 50 Trial 77: 30, 39, 43 Trial 78: 34, 43, 30 Trial 79: 35, 44, 40 Trial 80: 40, 42, 42 Trial 81: 38, 41, 39 Trial 82: 36, 41, 36 Trial 83: 39, 40, 33 Trial 84: 40, 40, 37 Trial 85: 42, 42, 46 Trial 86: 44, 41, 38 Trial 87: 24, 46, 38 Trial 88: 46, 42, 43 Trial 89: 34, 42, 45 Trial 90: 34, 39, 39 Trial 91: 35, 40, 45 Trial 92: 53, 43, 33 Trial 93: 41, 38, 43 Trial 94: 38, 38, 41 Trial 95: 31, 40, 42 Trial 96: 38, 39, 37 Trial 97: 41, 39, 37 Trial 98: 54, 42, 40 <--- Trial 99: 34, 42, 28 Trial 100: 36, 43, 40 -------------------------------------------------------- Characters average: 38.83 Rows average: 41.59 Columns average: 39.58
And for the 340 it used 44 symbols:
7 25 54 22 27 54 59 31 19 15 58 51 44 46 4 36 15 13 27 35 61 4 45 32 20 11 50 11 53 60 59 54 3 21 61 16 28 58 54 35 33 11 4 50 4 21 44 45 36 7 33 22 27 27 11 59 54 41 59 31 14 27 32 35 35 54 54 36 62 59 54 35 36 59 55 15 58 8 32 19 35 29 16 15 11 27 41 54 59 32 54 32 60 59 15 49 15 32 22 36 11 4 45 8 35 54 52 20 12 36 33 58 6 4 31 53 36 44 58 4 4 36 33 3 55 45 32 35 62 13 11 36 35 38 44 59 15 60 54 35 47 35 11 54 36 32 61 58 16 40 34 16 54 60 36 54 33 31 35 59 33 35 32 27 11 60 32 61 16 60 33 35 54 11 8 59 25 58 11 11 61 27 47 46 54 54 32 36 60 58 54 54 33 58 59 8 46 16 54 53 35 29 61 32 36 34 59 22 16 45 35 13 58 8 32 61 58 4 12 41 54 54 4 32 13 59 3 8 36 16 47 53 58 31 16 59 35 35 16 61 6 51 59 28 16 59 49 25 22 31 33 11 8 60 35 58 58 53 14 36 61 54 4 32 27 59 53 3 54 52 4 36 54 58 46 35 44 51 34 49 60 35 32 54 50 61 58 21 44 35 35 21 50 49 36 50 58 19 32 22 7 46 11 4 21 27 58 32 15 15 50 60 11 59 61 62 11 32 61 59 60 49 58 22 54 11 7 13 27 15 22 36 11 32 41 40 58 54 12 35 AZdecrypt plaintext direction stats for: 340.txt -------------------------------------------------------- - Attempts to detect the plaintext direction from the input using ngrams. - A higher score may be more indicative of the direction. Directional: (transposition, untransposition) -------------------------------------------------------- Normal: 74, 74 Mirror: 79, 79 <--- Flip: 79, 79 <--- Reverse: 74, 74 -------------------------------------------------------- Columnar 1: 57, 73 Columnar 2: 61, 70 Columnar 3: 61, 70 Columnar 4: 57, 73 -------------------------------------------------------- Diagonal 1: 63, 79 <--- Diagonal 2: 79, 78 Diagonal 3: 81, 78 <--- Diagonal 4: 65, 70 Diagonal 5: 65, 70 Diagonal 6: 81, 78 <--- Diagonal 7: 79, 78 Diagonal 8: 63, 79 <--- -------------------------------------------------------- Transposition average: 69.87 Untransposition average: 75.12 Offset row order: (transposition) -------------------------------------------------------- Offset row order 0: 74 <--- Offset row order 1: 74 <--- Offset row order 2: 74 <--- Offset row order 3: 74 <--- Offset row order 4: 73 Offset row order 5: 74 <--- Offset row order 6: 74 <--- Offset row order 7: 73 Offset row order 8: 73 Offset row order 9: 73 Offset row order 10: 74 <--- Offset row order 11: 74 <--- Offset row order 12: 73 Offset row order 13: 73 Offset row order 14: 73 Offset row order 15: 74 <--- Offset row order 16: 74 <--- Offset row order 17: 74 <--- Offset row order 18: 74 <--- Offset row order 19: 74 <--- -------------------------------------------------------- Transposition average: 73.65 Offset column order: (transposition) -------------------------------------------------------- Offset column order 0: 74 Offset column order 1: 69 Offset column order 2: 72 Offset column order 3: 66 Offset column order 4: 83 <--- Offset column order 5: 74 Offset column order 6: 73 Offset column order 7: 68 Offset column order 8: 70 Offset column order 9: 73 Offset column order 10: 69 Offset column order 11: 76 Offset column order 12: 76 Offset column order 13: 76 Offset column order 14: 77 Offset column order 15: 72 Offset column order 16: 71 -------------------------------------------------------- Transposition average: 72.88 Period row order: (transposition, untransposition) -------------------------------------------------------- Period row order 1: 74, 74 Period row order 2: 83, 76 <--- Period row order 3: 80, 82 Period row order 4: 73, 75 Period row order 5: 75, 73 Period row order 6: 77, 79 Period row order 7: 82, 80 Period row order 8: 80, 75 Period row order 9: 78, 77 Period row order 10: 76, 83 <--- Period row order 11: 77, 75 Period row order 12: 75, 73 Period row order 13: 75, 75 Period row order 14: 75, 75 Period row order 15: 75, 75 Period row order 16: 73, 75 Period row order 17: 74, 74 Period row order 18: 75, 76 Period row order 19: 75, 76 -------------------------------------------------------- Transposition average: 76.42 Untransposition average: 76.21 Period column order: (transposition, untransposition) -------------------------------------------------------- Period column order 1: 74, 74 Period column order 2: 73, 73 Period column order 3: 69, 78 Period column order 4: 75, 67 Period column order 5: 71, 70 Period column order 6: 78, 69 Period column order 7: 78, 63 Period column order 8: 93, 61 <--- Period column order 9: 73, 73 Period column order 10: 61, 65 Period column order 11: 67, 71 Period column order 12: 70, 75 Period column order 13: 71, 85 <--- Period column order 14: 73, 72 Period column order 15: 76, 69 Period column order 16: 79, 72 -------------------------------------------------------- Transposition average: 73.81 Untransposition average: 71.06 Periodic: (transposition, untransposition) -------------------------------------------------------- Period 1: 74, 74 Period 2: 66, 75 Period 3: 67, 68 Period 4: 69, 69 Period 5: 69, 78 Period 6: 69, 69 Period 7: 70, 72 Period 8: 63, 70 Period 9: 73, 62 Period 10: 93, 82 <--- Period 11: 73, 75 Period 12: 76, 68 Period 13: 60, 66 Period 14: 64, 69 Period 15: 60, 66 Period 16: 70, 78 Period 17: 57, 73 Period 18: 82, 75 Period 19: 71, 79 Period 20: 73, 57 Period 21: 80, 84 Period 22: 65, 70 Period 23: 66, 74 Period 24: 72, 61 Period 25: 74, 77 Period 26: 60, 62 Period 27: 77, 83 Period 28: 68, 72 Period 29: 64, 65 Period 30: 67, 65 Period 31: 75, 73 Period 32: 64, 64 Period 33: 76, 80 Period 34: 82, 93 Period 35: 71, 85 Period 36: 64, 70 Period 37: 65, 58 Period 38: 65, 71 Period 39: 66, 83 Period 40: 67, 52 Period 41: 67, 59 Period 42: 69, 75 Period 43: 68, 66 Period 44: 66, 70 Period 45: 69, 75 Period 46: 62, 65 Period 47: 69, 69 Period 48: 62, 55 Period 49: 68, 66 Period 50: 63, 80 Period 51: 60, 71 Period 52: 70, 67 Period 53: 72, 70 Period 54: 74, 83 Period 55: 68, 68 Period 56: 71, 63 Period 57: 72, 66 Period 58: 72, 75 Period 59: 73, 52 Period 60: 69, 71 Period 61: 67, 66 Period 62: 64, 79 Period 63: 56, 67 Period 64: 61, 59 Period 65: 63, 69 Period 66: 69, 73 Period 67: 67, 58 Period 68: 78, 69 Period 69: 78, 62 Period 70: 78, 75 Period 71: 80, 73 Period 72: 79, 64 Period 73: 76, 79 Period 74: 74, 76 Period 75: 76, 70 Period 76: 79, 67 Period 77: 79, 59 Period 78: 77, 66 Period 79: 71, 50 Period 80: 67, 69 Period 81: 62, 65 Period 82: 67, 68 Period 83: 70, 58 Period 84: 71, 65 Period 85: 69, 69 Period 86: 70, 81 Period 87: 72, 68 Period 88: 72, 60 Period 89: 70, 66 Period 90: 67, 66 Period 91: 66, 74 Period 92: 66, 67 Period 93: 66, 69 Period 94: 66, 76 Period 95: 64, 65 Period 96: 66, 73 Period 97: 67, 85 Period 98: 70, 66 Period 99: 74, 80 Period 100: 82, 71 Period 101: 78, 94 Period 102: 80, 68 Period 103: 80, 65 Period 104: 80, 72 Period 105: 77, 60 Period 106: 79, 66 Period 107: 72, 67 Period 108: 73, 72 Period 109: 71, 58 Period 110: 69, 76 Period 111: 69, 72 Period 112: 70, 74 Period 113: 71, 59 Period 114: 68, 64 Period 115: 71, 77 Period 116: 71, 67 Period 117: 72, 75 Period 118: 72, 76 Period 119: 72, 57 Period 120: 70, 63 Period 121: 71, 61 Period 122: 70, 78 Period 123: 71, 71 Period 124: 72, 72 Period 125: 72, 74 Period 126: 72, 66 Period 127: 72, 69 Period 128: 71, 75 Period 129: 72, 68 Period 130: 72, 71 Period 131: 71, 56 Period 132: 71, 61 Period 133: 73, 73 Period 134: 74, 75 Period 135: 73, 81 Period 136: 75, 59 Period 137: 74, 67 Period 138: 73, 65 Period 139: 75, 70 Period 140: 76, 76 Period 141: 80, 62 Period 142: 75, 71 Period 143: 76, 56 Period 144: 76, 77 Period 145: 76, 71 Period 146: 72, 67 Period 147: 69, 75 Period 148: 69, 63 Period 149: 68, 63 Period 150: 68, 71 Period 151: 69, 72 Period 152: 75, 65 Period 153: 73, 84 Period 154: 71, 63 Period 155: 70, 65 Period 156: 71, 69 Period 157: 71, 77 Period 158: 72, 98 <--- Period 159: 73, 83 Period 160: 76, 70 Period 161: 71, 86 Period 162: 71, 69 Period 163: 72, 70 Period 164: 75, 64 Period 165: 75, 61 Period 166: 74, 64 Period 167: 75, 66 Period 168: 75, 69 Period 169: 75, 67 Period 170: 75, 66 Period 171: 74, 68 Period 172: 74, 68 Period 173: 74, 63 Period 174: 74, 59 Period 175: 73, 59 Period 176: 74, 74 Period 177: 74, 56 Period 178: 73, 62 Period 179: 72, 68 Period 180: 68, 73 Period 181: 67, 58 Period 182: 67, 68 Period 183: 68, 68 Period 184: 68, 70 Period 185: 68, 62 Period 186: 69, 79 Period 187: 70, 64 Period 188: 69, 70 Period 189: 69, 58 Period 190: 69, 64 Period 191: 69, 68 Period 192: 68, 86 Period 193: 68, 76 Period 194: 68, 70 Period 195: 68, 73 Period 196: 69, 70 Period 197: 68, 68 Period 198: 67, 84 Period 199: 66, 76 Period 200: 67, 68 Period 201: 67, 67 Period 202: 67, 82 Period 203: 67, 72 Period 204: 67, 58 Period 205: 69, 57 Period 206: 68, 80 Period 207: 67, 67 Period 208: 65, 59 Period 209: 65, 65 Period 210: 64, 68 Period 211: 65, 68 Period 212: 65, 64 Period 213: 65, 62 Period 214: 65, 84 Period 215: 65, 71 Period 216: 65, 70 Period 217: 66, 69 Period 218: 67, 69 Period 219: 66, 71 Period 220: 66, 61 Period 221: 65, 69 Period 222: 63, 64 Period 223: 63, 79 Period 224: 63, 75 Period 225: 60, 64 Period 226: 59, 77 Period 227: 59, 64 Period 228: 59, 68 Period 229: 61, 58 Period 230: 61, 81 Period 231: 61, 79 Period 232: 62, 77 Period 233: 63, 72 Period 234: 63, 66 Period 235: 63, 72 Period 236: 66, 68 Period 237: 66, 77 Period 238: 65, 69 Period 239: 66, 66 Period 240: 66, 74 Period 241: 66, 76 Period 242: 65, 65 Period 243: 64, 78 Period 244: 63, 70 Period 245: 63, 70 Period 246: 62, 63 Period 247: 62, 72 Period 248: 63, 70 Period 249: 63, 76 Period 250: 63, 71 Period 251: 64, 66 Period 252: 64, 89 Period 253: 63, 70 Period 254: 64, 65 Period 255: 65, 64 Period 256: 66, 68 Period 257: 70, 63 Period 258: 68, 51 Period 259: 69, 69 Period 260: 70, 68 Period 261: 71, 64 Period 262: 69, 67 Period 263: 69, 64 Period 264: 68, 74 Period 265: 69, 68 Period 266: 69, 75 Period 267: 69, 82 Period 268: 70, 73 Period 269: 71, 69 Period 270: 71, 71 Period 271: 70, 67 Period 272: 70, 70 Period 273: 71, 71 Period 274: 70, 63 Period 275: 70, 66 Period 276: 66, 80 Period 277: 66, 66 Period 278: 66, 72 Period 279: 66, 71 Period 280: 67, 77 Period 281: 67, 71 Period 282: 64, 79 Period 283: 64, 70 Period 284: 63, 73 Period 285: 64, 75 Period 286: 65, 88 Period 287: 65, 74 Period 288: 67, 77 Period 289: 66, 73 Period 290: 67, 66 Period 291: 76, 70 Period 292: 70, 74 Period 293: 68, 78 Period 294: 69, 71 Period 295: 69, 74 Period 296: 69, 72 Period 297: 71, 71 Period 298: 70, 70 Period 299: 70, 81 Period 300: 70, 75 Period 301: 69, 74 Period 302: 72, 83 Period 303: 71, 78 Period 304: 73, 75 Period 305: 70, 75 Period 306: 69, 74 Period 307: 69, 75 Period 308: 69, 72 Period 309: 70, 75 Period 310: 70, 74 Period 311: 70, 79 Period 312: 69, 78 Period 313: 69, 74 Period 314: 69, 73 Period 315: 69, 80 Period 316: 68, 71 Period 317: 68, 78 Period 318: 70, 70 Period 319: 69, 75 Period 320: 70, 72 Period 321: 70, 68 Period 322: 71, 67 Period 323: 72, 71 Period 324: 72, 74 Period 325: 71, 68 Period 326: 71, 70 Period 327: 70, 72 Period 328: 70, 70 Period 329: 70, 75 Period 330: 71, 73 Period 331: 71, 72 Period 332: 72, 75 Period 333: 73, 72 Period 334: 73, 78 Period 335: 73, 79 Period 336: 74, 73 Period 337: 75, 74 Period 338: 74, 75 Period 339: 74, 74 Period 340: 74, 74 -------------------------------------------------------- Transposition average: 69.41 Untransposition average: 70.34 Randomize order: (by characters, rows, columns) -------------------------------------------------------- Trial 1: 69, 78, 73 Trial 2: 77, 77, 84 Trial 3: 58, 83, 66 Trial 4: 83, 75, 63 Trial 5: 78, 78, 56 Trial 6: 75, 73, 78 Trial 7: 65, 77, 62 Trial 8: 66, 76, 81 Trial 9: 70, 75, 66 Trial 10: 64, 74, 66 Trial 11: 72, 85, 81 <--- Trial 12: 70, 75, 58 Trial 13: 66, 74, 75 Trial 14: 56, 72, 69 Trial 15: 60, 76, 66 Trial 16: 65, 73, 71 Trial 17: 90, 79, 71 Trial 18: 67, 74, 64 Trial 19: 74, 74, 63 Trial 20: 73, 80, 80 Trial 21: 72, 77, 63 Trial 22: 70, 72, 59 Trial 23: 88, 73, 81 Trial 24: 72, 78, 65 Trial 25: 62, 74, 69 Trial 26: 81, 73, 56 Trial 27: 65, 74, 53 Trial 28: 61, 77, 60 Trial 29: 69, 78, 60 Trial 30: 67, 78, 75 Trial 31: 65, 76, 58 Trial 32: 67, 75, 86 Trial 33: 80, 79, 75 Trial 34: 64, 79, 72 Trial 35: 72, 79, 69 Trial 36: 79, 76, 67 Trial 37: 69, 78, 66 Trial 38: 69, 80, 73 Trial 39: 69, 77, 79 Trial 40: 76, 75, 61 Trial 41: 79, 77, 64 Trial 42: 77, 79, 60 Trial 43: 78, 76, 70 Trial 44: 86, 78, 72 Trial 45: 77, 76, 70 Trial 46: 80, 73, 67 Trial 47: 63, 75, 78 Trial 48: 66, 78, 68 Trial 49: 75, 72, 73 Trial 50: 61, 77, 71 Trial 51: 70, 75, 68 Trial 52: 71, 80, 67 Trial 53: 68, 76, 63 Trial 54: 76, 73, 67 Trial 55: 68, 76, 72 Trial 56: 62, 72, 61 Trial 57: 62, 76, 90 <--- Trial 58: 68, 80, 76 Trial 59: 69, 76, 71 Trial 60: 57, 77, 69 Trial 61: 71, 75, 75 Trial 62: 68, 77, 67 Trial 63: 61, 76, 66 Trial 64: 66, 77, 68 Trial 65: 78, 77, 66 Trial 66: 60, 75, 66 Trial 67: 66, 74, 79 Trial 68: 76, 75, 59 Trial 69: 67, 75, 75 Trial 70: 72, 76, 68 Trial 71: 74, 74, 67 Trial 72: 71, 78, 69 Trial 73: 67, 74, 68 Trial 74: 65, 78, 53 Trial 75: 67, 73, 71 Trial 76: 71, 74, 62 Trial 77: 68, 81, 70 Trial 78: 74, 75, 76 Trial 79: 58, 81, 64 Trial 80: 66, 77, 59 Trial 81: 71, 73, 59 Trial 82: 73, 75, 66 Trial 83: 71, 73, 57 Trial 84: 75, 76, 63 Trial 85: 73, 75, 55 Trial 86: 57, 73, 72 Trial 87: 80, 84, 82 Trial 88: 80, 79, 56 Trial 89: 65, 73, 60 Trial 90: 66, 77, 64 Trial 91: 78, 77, 59 Trial 92: 62, 73, 64 Trial 93: 65, 78, 62 Trial 94: 65, 80, 67 Trial 95: 73, 73, 87 Trial 96: 69, 80, 70 Trial 97: 58, 82, 67 Trial 98: 70, 77, 61 Trial 99: 93, 81, 63 <--- Trial 100: 50, 73, 55 -------------------------------------------------------- Characters average: 69.88 Rows average: 76.31 Columns average: 67.74 Input to output key: -------------------------------------------------------- E: HHHH (12) $: EEE (6) A: RlKMlRKMRlKMRKlRMKlRMRlKMRlMK (1368) #: >S>S>S>S (84) 9: ppppppppppp (110) I: ^*^*9t^*9^t*9^t*9^t* (728) 2: VVVVVV (30) 0: PPP (6) !: kddkdkdkdk (112) 8: |c|c|c|c||cc|cc|c|c| (480) .: 111 (6) 6: LLLLLL (30) ': TTTTT (20) 4: G(G((G(G(G(G( (220) %: 2z2z22z2z2z2z2z2zz (420) H: NNNNN (20) *: ++++++++++++++++++++++++ (552) K: BBBBBBBBBBBB (132) +: ##### (20) <: OOFFOFOFOFOFFFOFOFOO (364) G: %% (2) @: DYZ7/DYZ7/DYZ/7YDZ (660) ?: WWWWWW (30) ;: ...... (30) 3: <-<-<-<-<<- (144) >: ffff (12) C: ))))) (20) 7: y4y4y4y44y4 (144) 5: :: (2) /: UJUJUJUJU (112) ,: 8888 (12) 1: 33 (2) (: ___ (6) &: jj (2) B: 5555555 (42) ": && (2) J: CCCCC (20) :: qq (2) D: ;;; (6) F: XX (2) -: @ (0) =: bbb (6) L: AA (2) ): 666 (6) -------------------- Cycle score: 5986
It seems that a bigram repeat spike can become undetectable at about 40% randomization. But would feel more comfortable after doing this with a lot more messages and detailed statistics. Not asking you to do that though. I think that merging the cycles may not be as good for solving as the other method, but maybe it has some value for detection that you didn’t intend.
I am very excited about this development. I will check other aspects of your new collapsed 340, and then smokie60abcde, and then would like to test a handful of other very specifically crafted messages that I make if that is o.k. with you. Thanks a lot for doing this, I find it very encouraging. I have been thinking a lot lately, not so much doing.
As shown in previous post, it was able to detect/confirm the period with 40% randomization. Or the period is bleeding through top-down… You once said that the cycles are a gift and I guess they are. Though it is probably too early to get excited for a new breakthrough.
Sure, make more messages. But perhaps without wildcards, these skew things and make the ciphers somewhat inappropriate as training material.
Thinking is good. I am going for a 17 kilometer run soon, that will produce allot of thought on its own. Thank you for helping out.
Here is again the 340 with 44 symbols but using the original overlay:
HER>pR^VPk|1LTG2k Np+BG#O%DWD.<^Rf) By:|R+UDGWG)L#2HU >ppD^R8^V3pO++RR2 _^R+2^jk|5OP+&ykD p8R^ORO<^kCkO>2DG #5+Rq%;2U|XGV.2L| GG2Ufj#O+_ND2+@L^ k<R+b+DR2OB|yA6yR <2RUV+^U+OpD<OBy< U+RD5^E|DDBpbTRRO 2<|RRU|^5TyR.+&BO 26^>y#+N|5OB|G;8R RGON^f52yb.|Vy^++ yBX1^:y^CE>VUD5<+ ||.32BRGOp^.fRqG2 R|T+L16C<+ORWB|)L ++)WC2W|PO>HTDG)p |OkkW<D^B_DOB^<C| >RDHNpk>2DO8A|R;+
No obvious bigram peak. Adding a new column after the 17th one increases period 5 bigram repeats just as in the original 340 and my asymmetry measurement finds a distinct peak at period 19. Just odd.
Periodic: (transposition, untransposition) -------------------------------------------------------- Period 1: 2093, 2093 Period 2: 1885, 2240 Period 3: 2208, 2211 Period 4: 1784, 2150 Period 5: 2161, 2150 Period 6: 2162, 2409 Period 7: 2044, 2098 Period 8: 2270, 2351 Period 9: 2206, 2245 Period 10: 2106, 2223 Period 11: 1941, 1931 Period 12: 2156, 2437 Period 13: 2066, 2182 Period 14: 2215, 2265 Period 15: 1987, 2236 Period 16: 2294, 2437 Period 17: 2078, 2113 Period 18: 2656, 2296 <--- Period 19: 2148, 2674 <---
Omnidirectional trigrams:
Input versus columnar 1: 17.64%
------------------------------
|R+UD L
^ + 2
R+2 k + D
R <^ 2DG
+ U
2 + ^
k< + R
U +^U+
D ^E| b
RU|^ .
|
b.|V
|
R +OR L
++
O
R
Input versus columnar 3: 14.11%
------------------------------
+
R O++RR2
^R+ ^ +
R < O
+ 2
2 O
R + R
R +
RD ^ RO
2<|RR
> R
^++
+
||
|
+
>RD
Here is smokie61A and B. I want to see what your cycle merging program does to these regarding how many plaintext cycles it arrives at. They have comparable count of symbols, bigram repeat spike, no polyphone which depresses probability score at period 20 for smokie61B. They are different cipher types.
A
20 59 43 10 8 44 45 29 56 26 40 5 47 35 32 37 11
42 29 1 37 35 45 27 2 12 48 22 3 22 28 49 33 43
8 42 42 23 44 53 58 50 47 24 18 5 36 25 45 23 3
25 11 19 51 48 58 2 14 10 47 34 37 6 1 43 32 46
4 44 5 48 25 23 6 35 24 26 27 49 20 18 36 1 24
11 12 31 35 4 14 58 49 15 14 16 45 29 17 21 35 9
7 47 33 48 36 2 30 28 23 1 22 47 8 1 20 2 21
13 41 24 31 11 9 3 16 46 39 10 34 44 13 45 47 54
10 46 1 17 37 40 10 2 25 32 36 48 11 55 12 13 42
58 22 36 46 49 45 25 52 28 33 46 44 7 16 14 47 10
53 55 39 37 11 50 35 13 48 13 19 35 58 5 6 43 15
41 14 42 10 24 42 51 37 41 16 41 11 27 20 29 25 12
36 13 14 44 34 15 43 9 36 28 26 49 22 32 33 9 27
3 47 34 55 30 32 39 48 1 59 10 30 8 8 22 24 37
11 4 59 49 20 47 12 35 5 2 48 49 41 33 23 21 56
13 46 56 9 26 47 52 22 20 42 53 14 49 36 21 10 49
44 2 1 47 25 22 48 11 20 34 37 12 13 14 15 21 16
10 44 49 11 53 43 12 29 13 35 2 23 7 58 22 8 9
41 20 23 43 40 21 44 13 41 32 38 22 26 41 44 14 7
3 1 2 36 11 27 45 12 3 33 23 23 8 13 24 14 1
B
12 10 14 50 47 21 55 40 35 59 8 9 1 23 8 32 15
6 29 49 11 10 2 44 33 16 38 53 3 53 56 1 57 39
7 51 6 42 54 4 36 43 52 8 35 8 13 19 30 20 5
2 3 39 41 53 1 32 45 25 22 54 34 3 1 40 17 54
1 31 39 50 29 18 37 30 18 41 55 25 12 42 46 13 36
49 19 21 2 2 1 23 24 37 22 40 14 48 30 29 11 38
58 44 30 50 25 10 41 50 31 11 29 51 43 53 60 10 40
18 27 4 21 27 39 23 24 22 59 38 45 21 15 60 25 27
57 22 11 26 20 8 12 10 5 8 38 46 58 4 27 42 7
21 30 11 59 44 22 35 9 55 31 22 29 6 60 27 45 23
5 12 33 5 19 43 30 26 46 32 16 2 41 20 3 41 22
14 27 1 24 15 14 21 25 50 41 7 28 33 31 40 32 48
26 49 10 2 3 47 14 34 3 5 33 54 52 22 44 38 26
48 59 3 36 14 28 32 18 49 16 11 41 51 39 55 19 3
26 39 8 37 53 18 14 45 19 35 54 37 40 27 46 34 35
47 6 12 19 48 52 44 37 56 7 4 49 23 35 55 48 57
41 53 1 45 28 55 33 36 54 24 2 48 21 25 31 30 58
49 23 24 57 28 6 27 46 47 42 48 20 43 13 17 42 47
60 55 19 14 7 17 59 3 17 9 6 52 8 32 44 50 43
56 10 33 1 47 51 2 16 55 18 31 3 7 14 19 37 37
Here is the transposition matrix for both
1 18 35 52 69 86 103 120 137 154 171 188 205 222 239 256 273
290 307 324 2 19 36 53 70 87 104 121 138 155 172 189 206 223
240 257 274 291 308 325 3 20 37 54 71 88 105 122 139 156 173
190 207 224 241 258 275 292 309 326 4 21 38 55 72 89 106 123
140 157 174 191 208 225 242 259 276 293 310 327 5 22 39 56 73
90 107 124 141 158 175 192 209 226 243 260 277 294 311 328 6 23
40 57 74 91 108 125 142 159 176 193 210 227 244 261 278 295 312
329 7 24 41 58 75 92 109 126 143 160 177 194 211 228 245 262
279 296 313 330 8 25 42 59 76 93 110 127 144 161 178 195 212
229 246 263 280 297 314 331 9 26 43 60 77 94 111 128 145 162
179 196 213 230 247 264 281 298 315 332 10 27 44 61 78 95 112
129 146 163 180 197 214 231 248 265 282 299 316 333 11 28 45 62
79 96 113 130 147 164 181 198 215 232 249 266 283 300 317 334 12
29 46 63 80 97 114 131 148 165 182 199 216 233 250 267 284 301
318 335 13 30 47 64 81 98 115 132 149 166 183 200 217 234 251
268 285 302 319 336 14 31 48 65 82 99 116 133 150 167 184 201
218 235 252 269 286 303 320 337 15 32 49 66 83 100 117 134 151
168 185 202 219 236 253 270 287 304 321 338 16 33 50 67 84 101
118 135 152 169 186 203 220 237 254 271 288 305 322 339 17 34 51
68 85 102 119 136 153 170 187 204 221 238 255 272 289 306 323 340
EDIT: There will be a smokie62AB and maybe a smokie63AB if I can cook that up.
EDIT 2: They are the same message
Here is smokie62AB. They have the same plaintext but not the same as smokie61AB, and very similar ciphers to smokie61AB except for the transposition matrix which is designed to fool one of the statistics. Smokie62B is something that I have been thinking about and wanting to do for a while and it worked out exactly the way that I wanted it to on the very first try.
A
19 36 32 41 40 47 1 52 40 33 53 13 16 54 50 16 16
47 5 32 2 3 55 9 6 52 36 13 3 43 44 23 17 14
33 54 32 14 1 40 10 49 16 13 50 27 33 38 14 2 54
15 23 20 28 3 25 11 5 33 18 45 26 16 21 12 4 23
8 39 33 55 22 24 5 52 38 1 53 20 44 54 20 37 11
45 55 51 42 48 10 38 58 13 42 3 59 56 39 58 36 11
29 30 49 21 14 12 27 32 28 12 25 52 19 43 40 29 49
42 30 10 34 13 37 42 16 24 13 46 38 53 39 19 11 10
58 54 24 36 37 14 23 27 55 37 39 25 9 3 53 42 36
4 15 53 28 54 1 29 26 55 58 51 2 30 10 35 11 25
12 27 24 25 48 9 16 10 17 40 18 41 47 13 17 37 1
33 20 14 8 49 7 3 15 26 16 11 46 52 32 13 33 18
1 32 42 28 44 2 14 3 57 50 53 38 15 17 49 54 25
16 4 12 21 8 47 45 18 24 13 42 29 9 30 31 14 40
56 33 25 55 39 10 22 48 13 15 55 46 59 1 36 26 7
34 36 5 2 41 51 3 46 38 27 53 19 11 54 54 46 4
58 4 2 50 51 12 42 47 23 43 28 24 48 9 37 28 13
52 45 49 46 8 53 32 36 54 30 38 59 35 38 20 27 3
52 31 28 27 21 7 15 30 27 4 48 17 2 10 3 28 40
47 17 56 27 51 24 39 11 46 34 47 22 17 12 35 9 15
B
41 14 35 47 44 43 56 21 25 57 51 36 52 3 58 23 19
45 20 35 34 17 53 54 1 48 15 24 2 29 35 9 23 51
36 31 59 10 18 34 60 27 43 17 58 42 38 19 11 7 4
36 9 39 32 3 46 59 1 5 18 4 10 52 58 6 22 44
40 17 12 3 49 50 37 51 16 47 5 60 24 3 33 48 13
12 14 58 44 39 20 47 13 11 29 35 28 23 48 27 18 55
31 2 60 7 51 54 50 31 33 58 45 22 42 38 36 31 22
15 6 59 11 52 47 47 41 37 10 21 16 8 14 23 50 49
12 32 8 14 16 11 9 33 53 39 47 45 25 45 55 38 57
3 10 32 32 25 46 13 45 4 5 17 41 33 59 7 51 19
49 23 31 45 52 54 11 53 57 22 29 51 26 24 36 14 1
28 25 37 6 60 56 38 42 9 3 49 57 1 1 11 36 32
46 15 23 5 34 21 52 12 33 18 4 13 12 24 14 30 44
11 56 53 3 51 43 59 30 9 8 45 26 60 50 29 36 58
52 14 46 48 39 31 39 17 2 4 3 10 13 24 15 38 57
7 7 6 46 20 60 41 45 47 25 2 2 60 32 31 26 22
27 12 1 55 42 53 36 43 11 54 31 41 16 49 14 32 13
33 12 21 4 35 2 34 39 1 13 15 37 7 31 55 38 22
5 29 32 50 24 50 23 2 6 42 16 56 25 21 1 30 22
50 29 24 30 30 36 56 58 43 10 41 49 5 50 4 59 38
Inscription rectangle
1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 170 187 204
2 5 9 14 20 27 35 44 54 65 77 90 104 119 135 152 169 186 203 220
4 8 13 19 26 34 43 53 64 76 89 103 118 134 151 168 185 202 219 235
7 12 18 25 33 42 52 63 75 88 102 117 133 150 167 184 201 218 234 249
11 17 24 32 41 51 62 74 87 101 116 132 149 166 183 200 217 233 248 262
16 23 31 40 50 61 73 86 100 115 131 148 165 182 199 216 232 247 261 274
22 30 39 49 60 72 85 99 114 130 147 164 181 198 215 231 246 260 273 285
29 38 48 59 71 84 98 113 129 146 163 180 197 214 230 245 259 272 284 295
37 47 58 70 83 97 112 128 145 162 179 196 213 229 244 258 271 283 294 304
46 57 69 82 96 111 127 144 161 178 195 212 228 243 257 270 282 293 303 312
56 68 81 95 110 126 143 160 177 194 211 227 242 256 269 281 292 302 311 319
67 80 94 109 125 142 159 176 193 210 226 241 255 268 280 291 301 310 318 325
79 93 108 124 141 158 175 192 209 225 240 254 267 279 290 300 309 317 324 330
92 107 123 140 157 174 191 208 224 239 253 266 278 289 299 308 316 323 329 334
106 122 139 156 173 190 207 223 238 252 265 277 288 298 307 315 322 328 333 337
121 138 155 172 189 206 222 237 251 264 276 287 297 306 314 321 327 332 336 339
137 154 171 188 205 221 236 250 263 275 286 296 305 313 320 326 331 335 338 340
Matrix ( inscription rectangle redrafted into 17 columns )
1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153
170 187 204 2 5 9 14 20 27 35 44 54 65 77 90 104 119
135 152 169 186 203 220 4 8 13 19 26 34 43 53 64 76 89
103 118 134 151 168 185 202 219 235 7 12 18 25 33 42 52 63
75 88 102 117 133 150 167 184 201 218 234 249 11 17 24 32 41
51 62 74 87 101 116 132 149 166 183 200 217 233 248 262 16 23
31 40 50 61 73 86 100 115 131 148 165 182 199 216 232 247 261
274 22 30 39 49 60 72 85 99 114 130 147 164 181 198 215 231
246 260 273 285 29 38 48 59 71 84 98 113 129 146 163 180 197
214 230 245 259 272 284 295 37 47 58 70 83 97 112 128 145 162
179 196 213 229 244 258 271 283 294 304 46 57 69 82 96 111 127
144 161 178 195 212 228 243 257 270 282 293 303 312 56 68 81 95
110 126 143 160 177 194 211 227 242 256 269 281 292 302 311 319 67
80 94 109 125 142 159 176 193 210 226 241 255 268 280 291 301 310
318 325 79 93 108 124 141 158 175 192 209 225 240 254 267 279 290
300 309 317 324 330 92 107 123 140 157 174 191 208 224 239 253 266
278 289 299 308 316 323 329 334 106 122 139 156 173 190 207 223 238
252 265 277 288 298 307 315 322 328 333 337 121 138 155 172 189 206
222 237 251 264 276 287 297 306 314 321 327 332 336 339 137 154 171
188 205 221 236 250 263 275 286 296 305 313 320 326 331 335 338 340
I want to see what your cycle merging program does to these regarding how many plaintext cycles it arrives at.
I assume you want me to set the maximum number of symbols it can collapse to equal to the number of cipher symbols. What cipher types are these?
smokie61a (from 58 to 41 symbols):
Score: 9859.64 Ioc: 0.03715 20 59 43 10 8 44 45 29 56 8 40 5 47 35 32 10 11 43 29 1 10 35 45 32 44 12 47 20 3 20 28 49 32 43 8 43 43 23 44 53 58 50 47 1 18 5 11 25 45 23 3 25 11 19 51 47 58 44 12 10 47 32 10 5 1 43 32 25 5 44 5 47 25 23 5 35 1 8 32 49 20 18 11 1 1 11 12 31 35 5 12 58 49 53 12 16 45 29 17 20 35 9 7 47 32 47 11 44 30 28 23 1 20 47 8 1 20 44 20 13 41 1 31 11 9 3 16 25 39 10 32 44 13 45 47 54 10 25 1 17 10 40 10 44 25 32 11 47 11 55 12 13 43 58 20 11 25 49 45 25 52 28 32 25 44 7 16 12 47 10 53 55 39 10 11 50 35 13 47 13 19 35 58 5 5 43 53 41 12 43 10 1 43 51 10 41 16 41 11 32 20 29 25 12 11 13 12 44 32 53 43 9 11 28 8 49 20 32 32 9 32 3 47 32 55 30 32 39 47 1 59 10 30 8 8 20 1 10 11 5 59 49 20 47 12 35 5 44 47 49 41 32 23 20 56 13 25 56 9 8 47 52 20 20 43 53 12 49 11 20 10 49 44 44 1 47 25 20 47 11 20 32 10 12 13 12 53 20 16 10 44 49 11 53 43 12 29 13 35 44 23 7 58 20 8 9 41 20 23 43 40 20 44 13 41 32 38 20 8 41 44 12 7 3 1 44 11 11 32 45 12 3 32 23 23 8 13 1 12 1
smokie61b (from 60 to 37 symbols):
Score: 8196.61 Ioc: 0.03189 12 10 14 50 47 21 55 40 35 12 8 9 1 23 8 32 15 6 29 49 10 10 1 44 32 16 21 53 3 53 56 1 57 39 6 51 6 42 53 4 36 42 47 8 35 8 56 19 29 12 5 1 3 39 40 53 1 32 44 23 21 53 16 3 1 40 17 53 1 23 39 50 29 49 19 29 49 40 55 23 12 42 44 56 36 49 19 21 1 1 1 23 23 19 21 40 14 48 29 29 10 21 58 44 29 50 23 10 40 50 23 10 29 51 42 53 4 10 40 49 27 4 21 27 39 23 23 21 12 21 44 21 15 4 23 27 57 21 10 26 12 8 12 10 5 8 21 44 58 4 27 42 6 21 29 10 12 44 21 35 9 55 23 21 29 6 4 27 44 23 5 12 32 5 19 42 29 26 44 32 16 1 40 12 3 40 21 14 27 1 23 15 14 21 23 50 40 6 28 32 23 40 32 48 26 49 10 1 3 47 14 16 3 5 32 53 47 21 44 21 26 48 12 3 36 14 28 32 49 49 16 10 40 51 39 55 19 3 26 39 8 19 53 49 14 44 19 35 53 19 40 27 44 16 35 47 6 12 19 48 47 44 19 56 6 4 49 23 35 55 48 57 40 53 1 44 28 55 32 36 53 23 1 48 21 23 23 29 58 49 23 23 57 28 6 27 44 47 42 48 12 42 56 17 42 47 4 55 19 14 6 17 12 3 17 9 6 47 8 32 44 50 42 56 10 32 1 47 51 1 16 55 49 23 3 6 14 19 19 19
