Lost in Translation Posted June 28, 2018 (edited) On 6/26/2018 at 10:33 AM, Lost in Translation said: I am curious if the results follow the Pareto principle, e.g. will 20% of the found hexagrams account for 80% of the iterations. I guess we'll know soon enough. COUNT PERCENT LOWER 80 219,690,878 21.97% TOP 20 780,309,122 78.03% TOTAL 1,000,000,000 100.00% Well, I'll be damned. It does! EDIT: The above is for the final hexagrams and their corresponding changes (e.g. 6 line values of 6,7,8 or 9) The below is from the raw yarrow stalk results (e.g. 18 numbers comprised of 5,9,4 or 8) COUNT PERCENT LOW 80 258,670,926 25.87% TOP 20 741,329,074 74.13% TOTAL 1,000,000,000 100.00% Interestingly the Pareto principal weakens a bit with the raw data. Perhaps if I tested TWO billion iterations... Edited June 28, 2018 by Lost in Translation Added detail from the yarrow stalk method 1 1 Share this post Link to post Share on other sites
wandelaar Posted June 28, 2018 It is better to have the distribution of hexagrams follow the Pareto principle than the raw data, for the raw data isn't used in the eventual interpretation of a throw of the I Ching but the hexagrams are. I have some other ideas too about testing the I Ching, but I will open another topic about that. Maybe sometime in the future we or others will again pick up this thread, and it better stay focused as it now is on the one particular testing approach that is investigated here. 1 Share this post Link to post Share on other sites
Michael Sternbach Posted June 29, 2018 Interesting work indeed you guys did! But the results are splattered all over the thread and couched in mathematical terms. Could you try and summarize them please? Share this post Link to post Share on other sites
wandelaar Posted June 29, 2018 (edited) @ Michael Sternbach I will try to give a simplified explanation (leaving out all kinds of subtleties that would have to be dealt with in case this project would eventually result in serious scientific research): Look at the case where we throw a die the huge amount of 1,000,000,000 times and the face with 4 dots turns up let's say 166,749,217 times. Then we can use 166,749,217 divided by 1,000,000,000 that is 0.166749217 as an estimation of the probability that the face with 4 dots will turn up in one throw. Now in the same way we can estimate the probabilities of finding certain hexagrams by means of the computer program written by Lost in Translation that simulates throwing the I Ching by the yarrow stalk method. Now the program not only estimates the probability of one hexagram but the probabilities of all hexagrams. Problem is that the program takes many hours to estimate the probabilities of all hexagrams. If we had a program that could do the work in a few minutes than anybody could test at home whether or not paranormal influences are at work when he or she uses the program for throwing the I Ching in a serious consultation. Such influences must than appear as highly unlikely deviations of the then estimated probabilities from the already estimated probabilities found by Lost in Translation. That's how matters stand as of today. Edited June 29, 2018 by wandelaar 1 Share this post Link to post Share on other sites
wandelaar Posted June 29, 2018 (edited) On 19-6-2018 at 4:20 PM, wandelaar said: One can use the proposed method of throwing the I Ching as an alternative to the coin or yarrow stalk method. If by using the I Ching concerning a real life question or situation it is more likely for specific hexagrams to turn up then others, than this should become visible in the picture of relative frequencies per run. The type of questions or situations concerning which the I Ching is consulted could be same as when using the coin of yarrow stalk method. One could use a ritual if one wanted. And also the method of interpretation need not be fundamentally different form the usual one, you just looks up the hexagram (or hexagrams) with the largest relative frequency and explores how those hexagrams relate to the question or situation. It can all be done at home, provided the computer program is developed and a true random generator is available. Thinking about it again I see a problem here. I underestimated the differences in probability of the different hexagrams. When we find just one hexagram (possibly with some moving lines) than that's the hexagram to work with, but when we find the estimated probabilities of all hexagrams (as is the case with the computer program) then it might happen that the deviation from pure chance for an unlikely hexagram is greater than the deviation from pure chance of a more likely hexagram that then because of its "head start" turns out to be the "winner". But one could say that more paranormal influence was invested in raising the probability of the losing hexagram, and that the interpretation should also reckon with that. So interpreting the results of the computer program when used for throwing the I Ching will after all be much more complicated because those results will contain hugely more information than the traditional method using yarrow stalks. Edited June 29, 2018 by wandelaar Share this post Link to post Share on other sites
Michael Sternbach Posted June 29, 2018 2 hours ago, wandelaar said: @ Michael Sternbach I will try to give a simplified explanation (leaving out all kinds of subtleties that would have to be dealt with in case this project would eventually result in serious scientific research): Look at the case where we throw a die the huge amount of 1,000,000,000 times and the face with 4 dots turns up let's say 166,749,217 times. Then we can use 166,749,217 divided by 1,000,000,000 that is 0.166749217 as an estimation of the probability that the face with 4 dots will turn up in one throw. Now in the same way we can estimate the probabilities of finding certain hexagrams by means of the computer program written by Lost in Translation that simulates throwing the I Ching by the yarrow stalk method. Now the program not only estimates the probability of one hexagram but the probabilities of all hexagrams. Problem is that the program takes many hours to estimate the probabilities of all hexagrams. If we had a program that could do the work in a few minutes than anybody could test at home whether or not paranormal influences are at work when he or she uses the program for throwing the I Ching in a serious consultation. Such influences must than appear as highly unlikely deviations of the then estimated probabilities from the already estimated probabilities found by Lost in Translation. That's how matters stand as of today. I got that, but could you summarize all the results and conclusions drawn so far please? Share this post Link to post Share on other sites
wandelaar Posted June 29, 2018 (edited) In my view the basic results until now are the computer program itself and the list of the number of times each hexagram turned up when the program did 1,000,000,000 throws. On the basis of that list you can calculate the estimated probability for each hexagram as the number of times it turned up divided by 1,000,000,000. Edited June 29, 2018 by wandelaar Share this post Link to post Share on other sites
Lost in Translation Posted June 29, 2018 (edited) 8 hours ago, Michael Sternbach said: I got that, but could you summarize all the results and conclusions drawn so far please? I Ching Summary Results We wrote a program to create I Ching readings via the yarrow stalk method using a pseudo-random sorting algorithm. The program calculated one billion (1,000,000,000) iterations. Results were grouped and counted. Highlights are listed below. Iterations: 1,000,000,000 Unique I-Ching readings: 4,096 Most Common Reading: 888888 This translates to Hexagram #2 ䷁, Earth, with no changing lines. This reading was observed 8,018,967 times (roughly .8% of the time). Least Common Reading: 666666 This translates to Hexagram #2 ䷁, Earth with all lines changing. The changed hexagram is #1, Heaven. This reading was observed 24 times (roughly .0000024% of the time). Additional Information: The hexagram 777777, #1 Heaven ䷀ with no changing lines, was observed 82,958 times (roughly .008% of the time). The hexagram 999999, #1 Heaven ䷀ with all lines changing, was observed 607,036 times (roughly .06% of the time). Pareto Principle: The results conform to the Pareto Principle (e.g. the top 20% most common hexagrams account for 80% of the total iterations. Exact occurrences with their percentages follow. COUNT PERCENT LOW 80 219,690,878 21.97% TOP 20 780,309,122 78.03% TOTAL 1,000,000,000 100.00% EDIT: Final Note: Another way of looking at this data is the likelihood of change. Here are the core transitions by order of observation (most to least). (most common) 888888 ䷁ resting (Young Yin) 999999 ䷀ -> ䷁ (Old Yang) 777777 ䷀ resting (Young Yang) 666666 ䷁ => ䷀ (Old Yin) (least common) From this we can see that Yang, the bright and firm and masculine, is enclosed by Yin, the dark and yielding and feminine. This is reminiscent of both Hexagrams #28 ䷛ Preponderance of the Great and #62 ䷽ Preponderance of the small. That's something to think about... Edited June 30, 2018 by Lost in Translation Added analysis 1 1 Share this post Link to post Share on other sites
voidisyinyang Posted June 30, 2018 On 6/19/2018 at 8:29 AM, OldDog said: What you seem to be seeking is predictability in something that is inherently unpredictable. It is not unlike the Uncertainty Principle ... you may be able to show the probability of an occurance in a particular location but not where it is going. A totally unsatisfying situation. Yes this sums up the situation of assuming "randomness" as some kind of arbitrator of objectivity. Quote The strategy of science leads towards the accurate specification of form, while that of life leads in the direction of meaning. These two directions, form and meaning, are the two components of David Bohm's concept relating to the universal nature of things, soma-significance(18). Meaning is an aspect of reality tied to the achievement of goals and to specific context that is sufficiently subtle and complex as not to be representable by any closed formula. Furthermore, the technique of statistical averaging is especially irrelevant in the context of meaning, since its influence in general is to transform the meaningful into the meaningless. It is not useful to consider the meaning of a particular word averaged over all languages, and computing the statistics of word order and frequency in a discourse tells one very little about the meaning of the discourse. Investigations into meaning(18,19) are investigations in a different direction to that in which one is led by scientific investigations into reproducible form. Foundations of Physics, Vol. 21, pp. 197-207, 1991, (c) Plenum Press. Biological Utilisation of Quantum NonLocality[1] Brian D. Josephson[2] and Fotini Pallikari-Viras[3] 1 Share this post Link to post Share on other sites
voidisyinyang Posted June 30, 2018 On 6/23/2018 at 9:04 AM, Michael Sternbach said: But is that really how it works? What if Yijing divination, in order to create meaning, is using what we think of as "chance", rather than defying it? The "hidden order" concept of quantum mechanics comes to mind. You have precisely summed up the situation here. Quote In most common situations, averaging over the particle positions in the causal model makes the mean direct influence of one particle on another at large distances negligibly small. This is not so, however, in EPR-type situations where the wave function has a non-decomposability property which makes this interaction at a distance significantly different from zero even at long range(13). But, even in these situations, once we take an ensemble average, using the special distribution function in phase space that assures the statistical equivalence of the causal interpretation and quantum mechanics, we revert to the quantum mechanical prediction that statistically no influence at a distance can be demonstrated. One may ask, however, why only these special distribution functions should apply. Is there anything absolute about the ignorance implicit in the use of these particular distribution functions? The argument will be made in the following that other distribution functions, with different statistical properties, are relevant in other contexts, especially those associated with life. Situations where a change in context leads to a new kind of statistical distribution becoming relevant are indeed commonplace in science: they occur for example whenever a phase transition occurs that leads to a breaking of symmetry. As a result of symmetry breaking, statistical distributions that are asymmetric with regard to this symmetry may come into existence in situations where previously only symmetric distributions were observable or relevant. Analogously, it can be anticipated that special situations will exist whose natural description involves probability distributions other than the particular ones that arise in the quantum formalism. Paper published in Foundations of Physics, Vol. 21, pp. 197-207, 1991, (c) Plenum Press. Biological Utilisation of Quantum NonLocality[1] Brian D. Josephson[2] and Fotini Pallikari-Viras[3] http://www.tcm.phy.cam.ac.uk/~bdj10/papers/bell.html 1 Share this post Link to post Share on other sites
Michael Sternbach Posted June 30, 2018 7 hours ago, Lost in Translation said: I Ching Summary Results We wrote a program to create I Ching readings via the yarrow stalk method using a pseudo-random sorting algorithm. The program calculated one billion (1,000,000,000) iterations. Results were grouped and counted. Highlights are listed below. Iterations: 1,000,000,000 Unique I-Ching readings: 4,096 Most Common Reading: 888888 This translates to Hexagram #2 ䷁, Earth, with no changing lines. This reading was observed 8,018,967 times (roughly .8% of the time). Least Common Reading: 666666 This translates to Hexagram #2 ䷁, Earth with all lines changing. The changed hexagram is #1, Heaven. This reading was observed 24 times (roughly .0000024% of the time). Additional Information: The hexagram 777777, #1 Heaven ䷀ with no changing lines, was observed 82,958 times (roughly .008% of the time). The hexagram 999999, #1 Heaven ䷀ with all lines changing, was observed 607,036 times (roughly .06% of the time). Pareto Principle: The results conform to the Pareto Principle (e.g. the top 20% most common hexagrams account for 80% of the total iterations. Exact occurrences with their percentages follow. COUNT PERCENT LOW 80 219,690,878 21.97% TOP 20 780,309,122 78.03% TOTAL 1,000,000,000 100.00% EDIT: Final Note: Another way of looking at this data is the likelihood of change. Here are the core transitions by order of observation (most to least). (most common) 888888 ䷁ resting (Young Yin) 999999 ䷀ -> ䷁ (Old Yang) 777777 ䷀ resting (Young Yang) 666666 ䷁ => ䷀ (Old Yin) (least common) From this we can see that Yang, the bright and firm and masculine, is enclosed by Yin, the dark and yielding and feminine. This is reminiscent of both Hexagrams #28 ䷛ Preponderance of the Great and #62 ䷽ Preponderance of the small. That's something to think about... Very interesting! Just awesome how you and Wandelaar carried out this study right off the bat! According to the quoted sentence which I highlighted, you are still going to post the percentage of occurence for each hexagram? I would love to see that! Share this post Link to post Share on other sites
Lost in Translation Posted June 30, 2018 (edited) 1 hour ago, Michael Sternbach said: Exact occurrences with their percentages follow. 1 hour ago, Michael Sternbach said: According to the quoted sentence which I highlighted, you are still going to post the percentage of occurence for each hexagram? I would love to see that! Since you are so inclined, please see the full list of 4092 hexagram/moving line combinations with their corresponding raw number and percentage calculation. (edit: please forgive the copy/paste formatting) count hex percent count hex percent 24 666666 0.000002% 62384 969987 0.006238% 73 669666 0.000007% 62390 976899 0.006239% 77 666696 0.000008% 62395 999768 0.006240% 80 696666 0.000008% 62400 986997 0.006240% 87 966666 0.000009% 62407 997698 0.006241% 89 666966 0.000009% 62412 989796 0.006241% 100 666669 0.000010% 62414 796899 0.006241% 100 667666 0.000010% 62421 967899 0.006242% 108 666766 0.000011% 62430 698997 0.006243% 114 766666 0.000011% 62436 879699 0.006244% 115 666667 0.000012% 62444 996879 0.006244% 115 666676 0.000012% 62450 698799 0.006245% 122 676666 0.000012% 62453 997986 0.006245% 164 666668 0.000016% 62455 896799 0.006245% 170 866666 0.000017% 62461 689799 0.006246% 171 666866 0.000017% 62463 987969 0.006246% 171 686666 0.000017% 62466 798969 0.006247% 176 666686 0.000018% 62468 879969 0.006247% 190 668666 0.000019% 62469 679998 0.006247% 320 696966 0.000032% 62478 689979 0.006248% 327 996666 0.000033% 62478 896979 0.006248% 328 666969 0.000033% 62495 987996 0.006250% 328 969666 0.000033% 62496 679899 0.006250% 329 966669 0.000033% 62499 699789 0.006250% 330 669669 0.000033% 62500 897699 0.006250% 332 666699 0.000033% 62518 979968 0.006252% 338 699666 0.000034% 62518 998697 0.006252% 345 669966 0.000034% 62525 789969 0.006253% 347 696669 0.000035% 62527 996798 0.006253% 354 696696 0.000035% 62535 869997 0.006253% 355 666996 0.000035% 62535 986799 0.006253% 364 669696 0.000036% 62537 976998 0.006254% 364 966966 0.000036% 62549 899697 0.006255% 373 966696 0.000037% 62551 799689 0.006255% 432 697666 0.000043% 62552 997968 0.006255% 437 696766 0.000044% 62553 996789 0.006255% 438 766669 0.000044% 62574 799698 0.006257% 444 696667 0.000044% 62574 967989 0.006257% 447 667966 0.000045% 62576 996987 0.006258% 450 667669 0.000045% 62576 999876 0.006258% 451 696676 0.000045% 62589 989769 0.006259% 453 766696 0.000045% 62593 969789 0.006259% 455 666697 0.000046% 62593 997896 0.006259% 460 679666 0.000046% 62596 998976 0.006260% 461 766966 0.000046% 62600 769998 0.006260% 463 666976 0.000046% 62600 987699 0.006260% 465 976666 0.000046% 62605 699978 0.006261% 467 676966 0.000047% 62611 968799 0.006261% 471 667696 0.000047% 62613 798699 0.006261% 472 669766 0.000047% 62615 789996 0.006261% 472 966676 0.000047% 62624 979986 0.006262% 477 669676 0.000048% 62625 967998 0.006263% 478 669667 0.000048% 62666 697989 0.006267% 480 666769 0.000048% 62666 998679 0.006267% 481 966667 0.000048% 62668 897969 0.006267% 486 966766 0.000049% 62674 699987 0.006267% 488 769666 0.000049% 62675 996978 0.006268% 490 967666 0.000049% 62679 689997 0.006268% 492 666967 0.000049% 62682 978969 0.006268% 493 666796 0.000049% 62693 796998 0.006269% 494 676669 0.000049% 62694 989697 0.006269% 500 796666 0.000050% 62708 899769 0.006271% 504 666679 0.000050% 62710 998967 0.006271% 511 676696 0.000051% 62712 867999 0.006271% 613 667766 0.000061% 62714 799896 0.006271% 619 766676 0.000062% 62716 969978 0.006272% 626 767666 0.000063% 62726 687999 0.006273% 632 676667 0.000063% 62735 978996 0.006274% 635 666677 0.000063% 62739 768999 0.006274% 645 667667 0.000064% 62760 979698 0.006276% 650 766766 0.000065% 62776 968997 0.006278% 651 667676 0.000065% 62787 969798 0.006279% 651 776666 0.000065% 62801 678999 0.006280% 655 666776 0.000065% 62820 969879 0.006282% 661 677666 0.000066% 62823 968979 0.006282% 671 676676 0.000067% 62830 699798 0.006283% 673 676766 0.000067% 62832 986979 0.006283% 679 866669 0.000068% 62844 876999 0.006284% 680 668696 0.000068% 62844 978699 0.006284% 681 669668 0.000068% 62847 799869 0.006285% 688 966668 0.000069% 62862 896997 0.006286% 693 666968 0.000069% 62864 997869 0.006286% 697 666767 0.000070% 62864 999867 0.006286% 697 866696 0.000070% 62886 789699 0.006289% 698 686696 0.000070% 62966 897996 0.006297% 701 668669 0.000070% 62984 869799 0.006298% 704 696866 0.000070% 63000 997689 0.006300% 704 968666 0.000070% 63017 786999 0.006302% 705 696668 0.000071% 63085 998769 0.006308% 708 666869 0.000071% 63217 796989 0.006322% 709 666986 0.000071% 63234 697998 0.006323% 710 668966 0.000071% 63264 869979 0.006326% 712 686669 0.000071% 71518 676888 0.007152% 714 966866 0.000071% 71572 878866 0.007157% 716 686966 0.000072% 71616 668788 0.007162% 716 766667 0.000072% 71642 687886 0.007164% 717 669866 0.000072% 71749 688876 0.007175% 718 698666 0.000072% 71770 688678 0.007177% 722 696686 0.000072% 71778 868876 0.007178% 723 689666 0.000072% 71809 786688 0.007181% 723 966686 0.000072% 71842 888766 0.007184% 724 986666 0.000072% 71895 886687 0.007190% 727 666698 0.000073% 71899 868768 0.007190% 728 666896 0.000073% 71913 866788 0.007191% 732 666689 0.000073% 71943 788668 0.007194% 738 669686 0.000074% 71945 668887 0.007195% 744 896666 0.000074% 71951 786868 0.007195% 763 869666 0.000076% 71958 688867 0.007196% 772 866966 0.000077% 71964 687688 0.007196% 956 678666 0.000096% 71988 886768 0.007199% 959 766866 0.000096% 71992 768868 0.007199% 965 666687 0.000097% 72004 678868 0.007200% 972 666876 0.000097% 72010 887668 0.007201% 973 667686 0.000097% 72017 786886 0.007202% 973 876666 0.000097% 72020 866878 0.007202% 980 768666 0.000098% 72034 886786 0.007203% 981 866676 0.000098% 72043 867688 0.007204% 986 666867 0.000099% 72054 686878 0.007205% 986 686667 0.000099% 72059 886678 0.007206% 991 667668 0.000099% 72067 887866 0.007207% 992 666678 0.000099% 72069 868678 0.007207% 992 668667 0.000099% 72076 668878 0.007208% 997 676668 0.000100% 72080 876688 0.007208% 997 866766 0.000100% 72087 888667 0.007209% 999 786666 0.000100% 72129 788686 0.007213% 1000 766668 0.000100% 72132 667888 0.007213% 1002 686766 0.000100% 72137 867868 0.007214% 1007 866667 0.000101% 72138 768688 0.007214% 1008 668676 0.000101% 72159 687868 0.007216% 1009 766686 0.000101% 72176 688786 0.007218% 1011 667866 0.000101% 72178 868786 0.007218% 1012 687666 0.000101% 72180 866887 0.007218% 1017 676866 0.000102% 72192 686887 0.007219% 1020 668766 0.000102% 72196 878668 0.007220% 1024 666786 0.000102% 72237 888676 0.007224% 1024 686676 0.000102% 72264 678688 0.007226% 1028 676686 0.000103% 72275 766888 0.007227% 1030 666768 0.000103% 72279 688687 0.007228% 1059 867666 0.000106% 72308 878686 0.007231% 1265 696996 0.000126% 72332 876886 0.007233% 1283 669996 0.000128% 72364 868867 0.007236% 1295 969696 0.000130% 72366 768886 0.007237% 1308 669699 0.000131% 72438 686788 0.007244% 1312 966996 0.000131% 72455 886876 0.007245% 1315 699966 0.000131% 72463 867886 0.007246% 1317 699696 0.000132% 72464 688768 0.007246% 1320 696969 0.000132% 72480 868687 0.007248% 1328 666999 0.000133% 72488 887686 0.007249% 1349 696699 0.000135% 72539 876868 0.007254% 1356 966969 0.000136% 72565 788866 0.007256% 1357 996966 0.000136% 72569 886867 0.007257% 1362 996669 0.000136% 72613 678886 0.007261% 1363 669969 0.000136% 78457 976777 0.007846% 1368 699669 0.000137% 78465 777769 0.007846% 1371 969669 0.000137% 78513 776797 0.007851% 1376 969966 0.000138% 78541 977776 0.007854% 1400 996696 0.000140% 78568 797677 0.007857% 1403 966699 0.000140% 78612 797767 0.007861% 1431 999666 0.000143% 78624 677977 0.007862% 1493 886666 0.000149% 78692 776779 0.007869% 1506 866686 0.000151% 78712 767797 0.007871% 1514 666688 0.000151% 78784 796777 0.007878% 1514 688666 0.000151% 78822 977767 0.007882% 1526 686866 0.000153% 78833 777976 0.007883% 1536 666886 0.000154% 78858 697777 0.007886% 1538 686686 0.000154% 78912 679777 0.007891% 1545 668686 0.000155% 78955 767977 0.007895% 1553 666868 0.000155% 78975 677797 0.007898% 1563 686668 0.000156% 78979 779776 0.007898% 1566 866866 0.000157% 78982 677779 0.007898% 1575 668866 0.000158% 79039 779767 0.007904% 1585 866668 0.000159% 79058 777679 0.007906% 1596 868666 0.000160% 79106 776977 0.007911% 1598 668668 0.000160% 79113 977677 0.007911% 1743 966796 0.000174% 79120 769777 0.007912% 1772 766996 0.000177% 79127 779677 0.007913% 1781 996667 0.000178% 79176 797776 0.007918% 1783 676996 0.000178% 79252 777796 0.007925% 1794 979666 0.000179% 79316 777697 0.007932% 1798 969667 0.000180% 79317 777967 0.007932% 1799 676699 0.000180% 79344 967777 0.007934% 1800 969766 0.000180% 79452 767779 0.007945% 1801 967966 0.000180% 82958 999999 0.008296% 1802 696769 0.000180% 86242 976798 0.008624% 1812 696697 0.000181% 86344 796789 0.008634% 1815 679669 0.000181% 86400 689797 0.008640% 1816 667969 0.000182% 86476 876979 0.008648% 1816 976966 0.000182% 86494 778996 0.008649% 1820 696967 0.000182% 86619 769879 0.008662% 1823 666997 0.000182% 86649 799687 0.008665% 1824 769669 0.000182% 86655 899677 0.008665% 1825 967669 0.000183% 86657 799867 0.008666% 1826 796669 0.000183% 86662 779968 0.008666% 1829 966967 0.000183% 86667 876997 0.008667% 1830 667699 0.000183% 86683 796897 0.008668% 1831 669796 0.000183% 86687 967789 0.008669% 1831 766699 0.000183% 86715 779869 0.008672% 1833 669697 0.000183% 86724 867979 0.008672% 1833 769966 0.000183% 86742 769897 0.008674% 1834 967696 0.000183% 86744 879679 0.008674% 1834 996676 0.000183% 86750 977968 0.008675% 1834 997666 0.000183% 86770 697987 0.008677% 1839 669679 0.000184% 86784 678799 0.008678% 1843 969676 0.000184% 86793 687979 0.008679% 1844 679696 0.000184% 86797 679798 0.008680% 1846 966679 0.000185% 86807 976789 0.008681% 1849 996766 0.000185% 86808 867997 0.008681% 1850 976696 0.000185% 86813 786997 0.008681% 1854 669967 0.000185% 86816 776899 0.008682% 1864 699667 0.000186% 86825 899776 0.008682% 1868 696976 0.000187% 86835 767989 0.008684% 1868 766969 0.000187% 86840 979687 0.008684% 1871 679966 0.000187% 86845 978796 0.008684% 1872 666979 0.000187% 86848 697789 0.008685% 1875 966769 0.000188% 86848 768979 0.008685% 1876 799666 0.000188% 86849 768997 0.008685% 1877 966976 0.000188% 86849 989677 0.008685% 1879 696679 0.000188% 86850 697978 0.008685% 1879 697696 0.000188% 86856 877996 0.008686% 1882 699766 0.000188% 86856 987796 0.008686% 1882 966697 0.000188% 86877 897697 0.008688% 1883 796696 0.000188% 86881 798679 0.008688% 1884 796966 0.000188% 86889 679987 0.008689% 1888 669976 0.000189% 86895 869977 0.008689% 1897 976669 0.000190% 86901 879967 0.008690% 1898 696796 0.000190% 86917 789697 0.008692% 1899 699676 0.000190% 86919 787699 0.008692% 1904 697966 0.000190% 86920 977689 0.008692% 1908 667996 0.000191% 86921 967987 0.008692% 1908 769696 0.000191% 86921 998776 0.008692% 1914 669769 0.000191% 86924 998767 0.008692% 1947 697669 0.000195% 86926 779689 0.008693% 1957 666799 0.000196% 86927 789967 0.008693% 2014 676969 0.000201% 86929 797698 0.008693% 2478 766796 0.000248% 86938 986797 0.008694% 2488 667976 0.000249% 86942 897967 0.008694% 2508 667679 0.000251% 86944 978769 0.008694% 2514 776669 0.000251% 86953 897679 0.008695% 2529 666797 0.000253% 86953 987976 0.008695% 2529 696677 0.000253% 86959 997876 0.008696% 2530 667796 0.000253% 86962 797986 0.008696% 2531 766976 0.000253% 86967 968797 0.008697% 2536 676976 0.000254% 86968 799876 0.008697% 2538 667697 0.000254% 86972 767998 0.008697% 2539 767966 0.000254% 86973 996778 0.008697% 2544 976676 0.000254% 86985 978967 0.008698% 2551 669767 0.000255% 86989 799768 0.008699% 2551 676796 0.000255% 86992 699877 0.008699% 2553 679676 0.000255% 86993 786799 0.008699% 2554 666779 0.000255% 86994 869797 0.008699% 2554 676679 0.000255% 86997 798769 0.008700% 2554 796766 0.000255% 86998 778969 0.008700% 2565 976667 0.000257% 87003 786979 0.008700% 2566 967667 0.000257% 87004 789769 0.008700% 2567 669776 0.000257% 87007 979867 0.008701% 2571 976766 0.000257% 87015 699778 0.008702% 2577 697667 0.000258% 87020 778699 0.008702% 2577 697676 0.000258% 87021 796798 0.008702% 2578 776696 0.000258% 87029 689779 0.008703% 2580 696776 0.000258% 87032 796987 0.008703% 2586 966776 0.000259% 87033 787969 0.008703% 2591 666977 0.000259% 87035 979876 0.008703% 2591 769667 0.000259% 87037 979786 0.008704% 2591 779666 0.000259% 87046 879697 0.008705% 2595 697766 0.000260% 87047 967879 0.008705% 2596 667769 0.000260% 87072 987679 0.008707% 2597 769676 0.000260% 87073 967798 0.008707% 2599 696767 0.000260% 87074 989767 0.008707% 2599 769766 0.000260% 87081 796879 0.008708% 2601 679667 0.000260% 87083 997687 0.008708% 2601 797666 0.000260% 87089 996877 0.008709% 2602 766697 0.000260% 87109 978697 0.008711% 2603 679766 0.000260% 87112 698779 0.008711% 2606 677696 0.000261% 87114 899767 0.008711% 2609 667967 0.000261% 87128 796978 0.008713% 2610 977666 0.000261% 87153 969787 0.008715% 2612 766769 0.000261% 87155 697879 0.008716% 2613 676697 0.000261% 87156 879796 0.008716% 2616 766967 0.000262% 87157 896797 0.008716% 2616 796667 0.000262% 87167 779896 0.008717% 2624 766679 0.000262% 87177 787996 0.008718% 2625 967766 0.000262% 87177 997867 0.008718% 2628 669677 0.000263% 87180 768799 0.008718% 2636 767669 0.000264% 87186 779698 0.008719% 2638 677966 0.000264% 87187 797968 0.008719% 2642 676967 0.000264% 87189 977698 0.008719% 2644 796676 0.000264% 87194 789976 0.008719% 2646 966677 0.000265% 87195 879976 0.008719% 2649 776966 0.000265% 87198 877969 0.008720% 2649 967676 0.000265% 87200 797896 0.008720% 2650 677669 0.000265% 87205 967897 0.008721% 2660 966767 0.000266% 87207 767899 0.008721% 2683 676769 0.000268% 87212 776989 0.008721% 2729 986669 0.000273% 87214 976879 0.008721% 2733 668996 0.000273% 87220 679897 0.008722% 2738 767696 0.000274% 87229 969877 0.008723% 2766 896669 0.000277% 87230 968779 0.008723% 2767 986696 0.000277% 87231 989776 0.008723% 2781 669869 0.000278% 87234 789679 0.008723% 2781 698696 0.000278% 87239 996787 0.008724% 2788 896966 0.000279% 87241 977869 0.008724% 2795 696986 0.000280% 87245 997678 0.008724% 2798 666989 0.000280% 87249 779986 0.008725% 2798 996668 0.000280% 87253 977896 0.008725% 2799 669698 0.000280% 87263 799678 0.008726% 2802 696896 0.000280% 87264 897976 0.008726% 2804 968669 0.000280% 87268 697798 0.008727% 2805 699686 0.000280% 87270 687997 0.008727% 2812 966986 0.000281% 87272 869779 0.008727% 2816 666899 0.000282% 87275 969778 0.008727% 2821 869966 0.000282% 87279 986779 0.008728% 2823 689966 0.000282% 87281 797689 0.008728% 2823 966698 0.000282% 87284 769789 0.008728% 2829 669968 0.000283% 87285 896977 0.008729% 2829 869669 0.000283% 87295 987697 0.008729% 2829 969668 0.000283% 87296 677989 0.008730% 2831 689669 0.000283% 87308 679789 0.008731% 2837 996866 0.000284% 87309 877699 0.008731% 2838 668969 0.000284% 87309 896779 0.008731% 2842 996686 0.000284% 87330 677899 0.008733% 2843 686969 0.000284% 87334 867799 0.008733% 2844 669986 0.000284% 87336 879769 0.008734% 2845 669896 0.000284% 87347 798967 0.008735% 2845 986966 0.000284% 87348 997768 0.008735% 2851 699668 0.000285% 87376 876799 0.008738% 2856 686699 0.000286% 87380 797869 0.008738% 2856 968966 0.000286% 87392 987967 0.008739% 2857 669689 0.000286% 87393 799786 0.008739% 2857 998666 0.000286% 87393 978976 0.008739% 2859 668699 0.000286% 87397 769987 0.008740% 2862 866699 0.000286% 87399 976987 0.008740% 2864 966689 0.000286% 87403 978679 0.008740% 2865 866996 0.000287% 87408 976897 0.008741% 2865 969866 0.000287% 87410 678997 0.008741% 2866 696689 0.000287% 87410 698977 0.008741% 2868 866969 0.000287% 87410 798796 0.008741% 2868 966869 0.000287% 87414 967978 0.008741% 2870 966896 0.000287% 87418 698797 0.008742% 2872 969686 0.000287% 87422 687799 0.008742% 2876 698966 0.000288% 87423 679978 0.008742% 2882 966968 0.000288% 87436 997786 0.008744% 2885 899666 0.000288% 87438 697897 0.008744% 2888 696968 0.000289% 87445 678979 0.008745% 2889 666998 0.000289% 87457 679879 0.008746% 2890 696869 0.000289% 87474 976978 0.008747% 2893 689696 0.000289% 87481 789796 0.008748% 2893 968696 0.000289% 87490 769798 0.008749% 2895 686996 0.000289% 87491 979678 0.008749% 2898 699866 0.000290% 87492 689977 0.008749% 2900 869696 0.000290% 87494 798976 0.008749% 2902 698669 0.000290% 87509 986977 0.008751% 2926 989666 0.000293% 87512 968977 0.008751% 2949 696698 0.000295% 87513 776998 0.008751% 2949 896696 0.000295% 87563 998677 0.008756% 3501 677766 0.000350% 87572 699787 0.008757% 3526 667776 0.000353% 87574 977986 0.008757% 3539 767766 0.000354% 87611 677998 0.008761% 3557 667767 0.000356% 87617 897796 0.008762% 3561 676767 0.000356% 87675 979768 0.008768% 3571 766677 0.000357% 87713 897769 0.008771% 3571 766776 0.000357% 87741 769978 0.008774% 3587 767676 0.000359% 87822 987769 0.008782% 3589 676677 0.000359% 87824 798697 0.008782% 3589 777666 0.000359% 95308 699889 0.009531% 3597 677667 0.000360% 95517 689899 0.009552% 3612 677676 0.000361% 95540 689998 0.009554% 3616 766767 0.000362% 95629 968899 0.009563% 3617 676776 0.000362% 95636 869989 0.009564% 3617 776766 0.000362% 95683 898699 0.009568% 3618 666777 0.000362% 95725 688999 0.009572% 3621 776667 0.000362% 95749 869998 0.009575% 3642 767667 0.000364% 95752 889969 0.009575% 3646 776676 0.000365% 95757 989896 0.009576% 3647 667677 0.000365% 95820 969889 0.009582% 3776 768696 0.000378% 95845 999688 0.009584% 3806 866976 0.000381% 95865 899896 0.009587% 3832 876696 0.000383% 95929 986899 0.009593% 3859 789666 0.000386% 95959 899968 0.009596% 3865 698667 0.000387% 95970 899689 0.009597% 3868 867696 0.000387% 95976 999886 0.009598% 3868 986667 0.000387% 95990 869899 0.009599% 3869 676689 0.000387% 96004 896998 0.009600% 3883 669876 0.000388% 96035 699988 0.009603% 3891 897666 0.000389% 96066 969898 0.009607% 3894 796866 0.000389% 96067 886999 0.009607% 3898 666789 0.000390% 96067 988699 0.009607% 3898 769668 0.000390% 96150 898969 0.009615% 3898 896766 0.000390% 96160 699898 0.009616% 3899 697686 0.000390% 96161 898996 0.009616% 3902 769686 0.000390% 96163 899869 0.009616% 3903 686796 0.000390% 96176 998968 0.009618% 3903 689766 0.000390% 96190 899698 0.009619% 3903 866697 0.000390% 96202 989986 0.009620% 3903 876966 0.000390% 96222 896899 0.009622% 3905 679668 0.000391% 96224 989698 0.009622% 3909 786669 0.000391% 96240 896989 0.009624% 3910 796686 0.000391% 96253 698998 0.009625% 3912 689667 0.000391% 96253 889699 0.009625% 3912 896667 0.000391% 96301 899986 0.009630% 3913 976668 0.000391% 96318 968998 0.009632% 3914 666798 0.000391% 96333 998869 0.009633% 3914 668967 0.000391% 96340 999868 0.009634% 3914 696786 0.000391% 96371 998689 0.009637% 3914 968667 0.000391% 96374 868999 0.009637% 3920 966768 0.000392% 96398 988969 0.009640% 3923 696867 0.000392% 96412 996988 0.009641% 3924 667968 0.000392% 96420 998896 0.009642% 3924 676968 0.000392% 96438 889996 0.009644% 3925 686967 0.000392% 96442 998698 0.009644% 3925 966876 0.000392% 96443 689989 0.009644% 3926 668769 0.000393% 96459 969988 0.009646% 3927 666987 0.000393% 96468 998986 0.009647% 3927 687696 0.000393% 96479 996898 0.009648% 3928 669867 0.000393% 96500 968989 0.009650% 3929 686679 0.000393% 96527 698899 0.009653% 3929 866967 0.000393% 96557 986998 0.009656% 3930 678966 0.000393% 96628 989968 0.009663% 3931 689676 0.000393% 96636 989869 0.009664% 3931 696768 0.000393% 96674 986989 0.009667% 3931 966678 0.000393% 96686 698989 0.009669% 3934 968676 0.000393% 96697 989689 0.009670% 3937 976866 0.000394% 96802 996889 0.009680% 3941 866796 0.000394% 96980 988996 0.009698% 3942 667896 0.000394% 109422 777767 0.010942% 3943 967686 0.000394% 109450 677777 0.010945% 3944 876669 0.000394% 109717 777677 0.010972% 3945 866679 0.000395% 109891 776777 0.010989% 3945 967866 0.000395% 109974 777776 0.010997% 3947 987666 0.000395% 110059 767777 0.011006% 3950 766986 0.000395% 110459 688688 0.011046% 3951 968766 0.000395% 110760 888866 0.011076% 3952 768966 0.000395% 110769 886868 0.011077% 3952 869766 0.000395% 110792 888668 0.011079% 3955 796668 0.000396% 110830 866888 0.011083% 3956 766689 0.000396% 110853 688868 0.011085% 3956 976686 0.000396% 110923 868886 0.011092% 3957 678696 0.000396% 110935 868868 0.011093% 3959 666897 0.000396% 111051 886688 0.011105% 3959 667689 0.000396% 111140 688886 0.011114% 3959 669687 0.000396% 111212 868688 0.011121% 3960 686976 0.000396% 111393 886886 0.011139% 3961 869667 0.000396% 111426 668888 0.011143% 3965 786966 0.000397% 111509 888686 0.011151% 3967 766869 0.000397% 111764 686888 0.011176% 3969 666879 0.000397% 115533 997999 0.011553% 3972 676698 0.000397% 115849 979999 0.011585% 3973 678669 0.000397% 116048 799999 0.011605% 3973 697866 0.000397% 116158 999799 0.011616% 3974 669786 0.000397% 116215 999997 0.011621% 3978 866769 0.000398% 116350 999979 0.011635% 3981 687669 0.000398% 120404 677798 0.012040% 3983 667698 0.000398% 120532 697778 0.012053% 3983 896676 0.000398% 120613 977687 0.012061% 3984 666978 0.000398% 120661 677897 0.012066% 3986 668679 0.000399% 120727 787976 0.012073% 3987 668796 0.000399% 120734 797768 0.012073% 3987 679866 0.000399% 120766 767789 0.012077% 3987 986766 0.000399% 120769 677978 0.012077% 3993 966687 0.000399% 120770 789776 0.012077% 3994 966867 0.000399% 120780 779768 0.012078% 3995 986676 0.000400% 120787 679877 0.012079% 3996 766968 0.000400% 120796 778769 0.012080% 4000 696687 0.000400% 120818 778967 0.012082% 4001 867966 0.000400% 120838 978767 0.012084% 4003 669678 0.000400% 120850 787679 0.012085% 4005 687966 0.000400% 120868 797687 0.012087% 4012 667986 0.000401% 120869 786977 0.012087% 4012 679686 0.000401% 120879 797678 0.012088% 4012 686697 0.000401% 120880 767798 0.012088% 4013 696678 0.000401% 120885 787697 0.012089% 4013 698676 0.000401% 120904 778796 0.012090% 4017 798666 0.000402% 120913 777869 0.012091% 4018 676869 0.000402% 120920 879776 0.012092% 4022 769866 0.000402% 120925 977786 0.012092% 4024 676986 0.000402% 120972 976877 0.012097% 4028 668697 0.000403% 120974 787796 0.012097% 4031 668976 0.000403% 120978 877679 0.012098% 4036 768669 0.000404% 121005 687779 0.012101% 4038 686769 0.000404% 121009 797876 0.012101% 4040 966786 0.000404% 121015 769787 0.012102% 4042 669768 0.000404% 121017 798776 0.012102% 4043 766698 0.000404% 121017 976778 0.012102% 4045 676896 0.000405% 121021 778697 0.012102% 4049 869676 0.000405% 121026 677789 0.012103% 4057 967668 0.000406% 121027 769778 0.012103% 4063 766896 0.000406% 121060 797867 0.012106% 4066 667869 0.000407% 121061 767978 0.012106% 4069 786696 0.000407% 121061 776879 0.012106% 4070 879666 0.000407% 121064 679778 0.012106% 4078 978666 0.000408% 121068 786779 0.012107% 4079 696876 0.000408% 121075 798767 0.012108% 4081 697668 0.000408% 121075 876779 0.012108% 4094 867669 0.000409% 121097 987767 0.012110% 4119 698766 0.000412% 121103 679787 0.012110% 5162 969969 0.000516% 121106 879677 0.012111% 5176 996969 0.000518% 121125 967877 0.012113% 5188 966999 0.000519% 121160 776978 0.012116% 5193 969996 0.000519% 121176 877796 0.012118% 5211 669999 0.000521% 121178 779867 0.012118% 5240 996996 0.000524% 121180 897776 0.012118% 5250 996699 0.000525% 121182 678797 0.012118% 5272 699699 0.000527% 121182 769877 0.012118% 5303 999696 0.000530% 121184 896777 0.012118% 5309 699996 0.000531% 121197 698777 0.012120% 5340 999966 0.000534% 121197 767897 0.012120% 5347 866677 0.000535% 121202 798677 0.012120% 5351 696999 0.000535% 121209 977867 0.012121% 5384 999669 0.000538% 121221 767879 0.012122% 5388 676867 0.000539% 121221 776789 0.012122% 5388 776866 0.000539% 121237 978776 0.012124% 5391 969699 0.000539% 121240 678977 0.012124% 5399 876676 0.000540% 121241 986777 0.012124% 5413 677866 0.000541% 121248 867779 0.012125% 5419 768676 0.000542% 121257 869777 0.012126% 5420 766786 0.000542% 121258 776798 0.012126% 5422 676786 0.000542% 121287 797786 0.012129% 5424 676687 0.000542% 121307 778976 0.012131% 5426 699969 0.000543% 121310 768779 0.012131% 5437 667768 0.000544% 121325 768797 0.012132% 5438 787666 0.000544% 121339 877769 0.012134% 5448 668767 0.000545% 121358 877976 0.012136% 5452 866767 0.000545% 121365 777986 0.012136% 5458 687676 0.000546% 121367 796778 0.012137% 5461 766876 0.000546% 121379 867977 0.012138% 5464 786676 0.000546% 121384 977678 0.012138% 5468 776668 0.000547% 121392 776897 0.012139% 5485 686776 0.000549% 121395 777968 0.012139% 5487 686767 0.000549% 121400 777698 0.012140% 5489 766867 0.000549% 121407 767987 0.012141% 5499 666877 0.000550% 121408 779876 0.012141% 5499 767686 0.000550% 121438 796787 0.012144% 5501 867766 0.000550% 121449 677987 0.012145% 5502 767866 0.000550% 121451 897767 0.012145% 5508 867667 0.000551% 121452 877697 0.012145% 5510 766768 0.000551% 121453 787769 0.012145% 5515 867676 0.000552% 121471 978677 0.012147% 5517 667786 0.000552% 121499 879767 0.012150% 5519 767668 0.000552% 121534 877967 0.012153% 5521 866776 0.000552% 121535 779786 0.012153% 5526 687766 0.000553% 121538 876797 0.012154% 5527 766687 0.000553% 121565 897677 0.012157% 5528 678676 0.000553% 121571 977768 0.012157% 5530 686677 0.000553% 121575 967778 0.012157% 5531 677686 0.000553% 121586 687797 0.012159% 5539 678667 0.000554% 121592 697787 0.012159% 5545 676678 0.000554% 121596 796877 0.012160% 5547 876667 0.000555% 121605 987677 0.012160% 5549 676768 0.000555% 121610 867797 0.012161% 5553 666787 0.000555% 121613 677879 0.012161% 5553 786766 0.000555% 121617 689777 0.012162% 5560 778666 0.000556% 121644 768977 0.012164% 5562 668776 0.000556% 121648 777896 0.012165% 5566 667867 0.000557% 121652 786797 0.012165% 5566 687667 0.000557% 121665 779687 0.012167% 5567 676876 0.000557% 121676 987776 0.012168% 5569 667678 0.000557% 121687 776987 0.012169% 5570 776686 0.000557% 121693 968777 0.012169% 5573 667687 0.000557% 121717 976787 0.012172% 5582 766678 0.000558% 121723 778679 0.012172% 5585 768766 0.000558% 121737 678779 0.012174% 5598 668677 0.000560% 121746 687977 0.012175% 5613 768667 0.000561% 121760 977876 0.012176% 5616 667876 0.000562% 121807 967787 0.012181% 5629 677668 0.000563% 121822 697877 0.012182% 5633 678766 0.000563% 121822 779678 0.012182% 5650 666778 0.000565% 121883 789767 0.012188% 5651 876766 0.000565% 121890 777689 0.012189% 5679 877666 0.000568% 121976 787967 0.012198% 5703 786667 0.000570% 121990 876977 0.012199% 5914 689866 0.000591% 122318 789677 0.012232% 5945 668896 0.000594% 133032 879689 0.013303% 5946 689686 0.000595% 133055 978896 0.013306% 5959 668689 0.000596% 133083 688799 0.013308% 5959 866896 0.000596% 133124 986987 0.013312% 5967 868696 0.000597% 133150 899678 0.013315% 5977 668698 0.000598% 133186 978869 0.013319% 5977 896866 0.000598% 133202 879968 0.013320% 6005 668986 0.000601% 133213 899786 0.013321% 6017 668968 0.000602% 133223 897698 0.013322% 6020 896668 0.000602% 133227 967988 0.013323% 6024 689668 0.000602% 133259 979868 0.013326% 6026 669688 0.000603% 133279 889697 0.013328% 6036 886696 0.000604% 133297 796898 0.013330% 6040 688966 0.000604% 133298 898679 0.013330% 6044 686896 0.000604% 133317 788969 0.013332% 6047 986866 0.000605% 133318 769889 0.013332% 6051 866869 0.000605% 133319 769988 0.013332% 6055 688669 0.000605% 133351 987968 0.013335% 6055 986686 0.000605% 133355 989867 0.013336% 6061 698668 0.000606% 133387 998768 0.013339% 6069 866698 0.000607% 133388 869987 0.013339% 6077 886966 0.000608% 133395 997868 0.013339% 6079 898666 0.000608% 133405 887996 0.013340% 6080 666988 0.000608% 133405 988976 0.013340% 6085 988666 0.000608% 133428 788996 0.013343% 6092 669886 0.000609% 133428 989876 0.013343% 6092 966688 0.000609% 133442 979688 0.013344% 6094 869668 0.000609% 133466 896789 0.013347% 6096 686698 0.000610% 133468 897689 0.013347% 6097 668869 0.000610% 133471 789689 0.013347% 6098 889666 0.000610% 133474 897896 0.013347% 6106 986668 0.000611% 133485 988796 0.013348% 6108 698686 0.000611% 133506 988679 0.013351% 6119 666898 0.000612% 133528 968897 0.013353% 6119 866968 0.000612% 133540 768899 0.013354% 6124 686869 0.000612% 133547 989687 0.013355% 6128 966886 0.000613% 133572 986789 0.013357% 6129 868669 0.000613% 133574 798968 0.013357% 6133 669868 0.000613% 133579 879986 0.013358% 6135 896686 0.000614% 133603 876899 0.013360% 6136 696886 0.000614% 133604 689789 0.013360% 6138 869686 0.000614% 133605 998687 0.013360% 6145 686689 0.000614% 133607 798698 0.013361% 6148 968668 0.000615% 133609 887969 0.013361% 6149 868966 0.000615% 133612 698897 0.013361% 6151 886669 0.000615% 133641 898697 0.013364% 6154 696688 0.000615% 133646 768998 0.013365% 6155 688696 0.000616% 133647 678989 0.013365% 6163 686986 0.000616% 133647 688997 0.013365% 6168 696868 0.000617% 133651 978986 0.013365% 6168 869866 0.000617% 133654 889976 0.013365% 6171 866689 0.000617% 133660 798689 0.013366% 6172 666889 0.000617% 133679 798869 0.013368% 6172 966868 0.000617% 133688 868979 0.013369% 6187 866986 0.000619% 133695 768989 0.013369% 6188 686968 0.000619% 133699 678998 0.013370% 6231 968866 0.000623% 133700 968987 0.013370% 6251 968686 0.000625% 133703 878996 0.013370% 6283 698866 0.000628% 133706 968798 0.013371% 7207 996796 0.000721% 133718 789896 0.013372% 7208 796969 0.000721% 133723 788699 0.013372% 7217 699967 0.000722% 133729 876989 0.013373% 7227 799966 0.000723% 133734 899867 0.013373% 7236 979669 0.000724% 133737 986798 0.013374% 7236 999766 0.000724% 133743 798896 0.013374% 7241 967969 0.000724% 133744 799868 0.013374% 7247 796996 0.000725% 133747 989678 0.013375% 7248 696979 0.000725% 133748 896798 0.013375% 7251 679699 0.000725% 133749 679889 0.013375% 7256 999676 0.000726% 133754 976889 0.013375% 7275 699769 0.000727% 133755 887699 0.013376% 7280 996769 0.000728% 133757 896978 0.013376% 7281 976969 0.000728% 133775 697898 0.013378% 7290 969697 0.000729% 133780 899768 0.013378% 7295 969769 0.000730% 133805 678899 0.013381% 7300 966997 0.000730% 133805 978689 0.013381% 7301 699697 0.000730% 133813 988769 0.013381% 7302 769969 0.000730% 133815 878969 0.013381% 7302 996976 0.000730% 133832 878699 0.013383% 7313 769699 0.000731% 133833 967898 0.013383% 7314 699796 0.000731% 133835 879698 0.013384% 7325 796699 0.000732% 133840 978698 0.013384% 7325 967996 0.000732% 133843 698978 0.013384% 7325 997669 0.000732% 133849 896879 0.013385% 7339 697969 0.000734% 133854 698789 0.013385% 7342 699679 0.000734% 133864 989786 0.013386% 7346 996967 0.000735% 133868 688979 0.013387% 7353 799696 0.000735% 133892 889679 0.013389% 7365 999667 0.000736% 133892 889967 0.013389% 7366 679969 0.000737% 133897 969788 0.013390% 7370 696799 0.000737% 133910 898976 0.013391% 7385 769996 0.000739% 133913 699887 0.013391% 7385 996697 0.000739% 133914 988697 0.013391% 7389 969976 0.000739% 133921 996788 0.013392% 7394 676999 0.000739% 133925 976988 0.013392% 7395 696997 0.000740% 133933 867989 0.013393% 7395 766999 0.000740% 133935 889796 0.013394% 7399 697699 0.000740% 133937 698798 0.013394% 7401 697996 0.000740% 133941 876998 0.013394% 7403 669997 0.000740% 133946 789968 0.013395% 7404 976699 0.000740% 133946 879896 0.013395% 7405 966979 0.000741% 133949 897986 0.013395% 7411 669979 0.000741% 133950 869978 0.013395% 7412 679996 0.000741% 133950 987698 0.013395% 7413 976996 0.000741% 133953 997688 0.013395% 7419 966799 0.000742% 133956 786899 0.013396% 7422 699976 0.000742% 133957 968978 0.013396% 7433 996679 0.000743% 133961 796988 0.013396% 7452 969967 0.000745% 133973 987896 0.013397% 7453 667999 0.000745% 133982 789986 0.013398% 7456 799669 0.000746% 133983 789698 0.013398% 7459 669799 0.000746% 133993 697988 0.013399% 7460 997966 0.000746% 133993 979886 0.013399% 7466 997696 0.000747% 134005 889769 0.013401% 7470 979966 0.000747% 134006 969878 0.013401% 7487 979696 0.000749% 134007 689897 0.013401% 7488 969679 0.000749% 134008 969887 0.013401% 7488 969796 0.000749% 134009 898769 0.013401% 7571 967699 0.000757% 134024 967889 0.013402% 8306 866678 0.000831% 134032 879869 0.013403% 8331 866867 0.000833% 134042 986879 0.013404% 8363 667868 0.000836% 134045 898796 0.013405% 8375 867686 0.000838% 134046 689879 0.013405% 8381 668876 0.000838% 134060 976898 0.013406% 8381 866768 0.000838% 134066 868799 0.013407% 8389 788666 0.000839% 134068 698987 0.013407% 8392 678668 0.000839% 134068 998867 0.013407% 8402 768686 0.000840% 134095 687998 0.013410% 8403 668867 0.000840% 134109 896897 0.013411% 8408 666887 0.000841% 134113 998876 0.013411% 8409 686687 0.000841% 134120 978968 0.013412% 8409 886766 0.000841% 134130 998678 0.013413% 8412 786686 0.000841% 134144 896987 0.013414% 8443 676886 0.000844% 134155 796889 0.013416% 8443 878666 0.000844% 134162 897968 0.013416% 8453 686786 0.000845% 134164 799886 0.013416% 8454 766868 0.000845% 134179 867998 0.013418% 8459 886667 0.000846% 134181 867899 0.013418% 8460 786668 0.000846% 134185 679988 0.013418% 8467 687686 0.000847% 134192 689978 0.013419% 8470 868676 0.000847% 134197 869789 0.013420% 8475 887666 0.000847% 134201 996878 0.013420% 8476 686768 0.000848% 134202 868997 0.013420% 8476 876668 0.000848% 134204 786998 0.013420% 8481 667688 0.000848% 134208 869897 0.013421% 8482 886676 0.000848% 134217 789869 0.013422% 8485 666788 0.000848% 134220 799688 0.013422% 8489 688766 0.000849% 134232 687989 0.013423% 8490 686867 0.000849% 134239 989768 0.013424% 8496 688667 0.000850% 134249 997886 0.013425% 8496 768668 0.000850% 134251 986978 0.013425% 8509 676868 0.000851% 134251 987986 0.013425% 8512 668687 0.000851% 134265 899876 0.013427% 8514 876866 0.000851% 134269 897869 0.013427% 8516 867866 0.000852% 134277 998786 0.013428% 8518 868667 0.000852% 134283 986897 0.013428% 8519 876686 0.000852% 134283 987869 0.013428% 8524 667886 0.000852% 134294 679898 0.013429% 8527 766886 0.000853% 134300 987689 0.013430% 8531 688676 0.000853% 134310 699788 0.013431% 8531 786866 0.000853% 134315 886979 0.013432% 8532 868766 0.000853% 134324 689987 0.013432% 8544 666878 0.000854% 134335 698879 0.013433% 8553 687668 0.000855% 134343 988967 0.013434% 8559 668768 0.000856% 134358 898967 0.013436% 8567 686876 0.000857% 134385 697889 0.013438% 8577 676688 0.000858% 134404 689798 0.013440% 8587 668678 0.000859% 134417 968789 0.013442% 8593 686678 0.000859% 134418 869798 0.013442% 8600 866876 0.000860% 134421 699878 0.013442% 8608 678866 0.000861% 134427 687899 0.013443% 8610 866687 0.000861% 134432 968879 0.013443% 8613 766688 0.000861% 134457 996887 0.013446% 8618 668786 0.000862% 134473 869879 0.013447% 8621 866786 0.000862% 134486 886799 0.013449% 8624 687866 0.000862% 134514 786989 0.013451% 8625 678686 0.000862% 134605 798986 0.013460% 8651 867668 0.000865% 134628 769898 0.013463% 8654 768866 0.000865% 134744 899687 0.013474% 9936 667799 0.000994% 134921 886997 0.013492% 10022 997766 0.001002% 160674 997979 0.016067% 10063 699776 0.001006% 160784 979979 0.016078% 10078 697769 0.001008% 160846 999779 0.016085% 10093 799667 0.001009% 160931 999797 0.016093% 10103 699767 0.001010% 161041 779999 0.016104% 10114 979766 0.001011% 161246 977999 0.016125% 10126 776996 0.001013% 161447 999977 0.016145% 10132 679679 0.001013% 161606 997799 0.016161% 10137 779696 0.001014% 161706 997997 0.016171% 10139 677699 0.001014% 161733 799979 0.016173% 10146 696977 0.001015% 161794 979799 0.016179% 10154 976976 0.001015% 161809 797999 0.016181% 10179 676799 0.001018% 161817 979997 0.016182% 10183 679769 0.001018% 161926 799997 0.016193% 10192 769976 0.001019% 162048 799799 0.016205% 10194 679697 0.001019% 168308 767778 0.016831% 10194 779669 0.001019% 168426 777678 0.016843% 10197 976679 0.001020% 168427 677778 0.016843% 10209 967679 0.001021% 168440 867777 0.016844% 10210 996767 0.001021% 168443 778677 0.016844% 10220 679796 0.001022% 168488 778776 0.016849% 10222 776699 0.001022% 168529 678777 0.016853% 10224 697796 0.001022% 168545 777876 0.016855% 10227 796976 0.001023% 168610 768777 0.016861% 10228 966977 0.001023% 168717 877677 0.016872% 10230 679967 0.001023% 168718 877767 0.016872% 10231 976697 0.001023% 168741 767877 0.016874% 10234 669779 0.001023% 168749 787776 0.016875% 10238 967697 0.001024% 168783 776877 0.016878% 10240 699677 0.001024% 168854 777786 0.016885% 10243 779966 0.001024% 168971 776778 0.016897% 10244 797696 0.001024% 169000 777687 0.016900% 10248 696797 0.001025% 169013 767787 0.016901% 10250 796967 0.001025% 169014 786777 0.016901% 10253 697976 0.001025% 169017 787677 0.016902% 10256 976967 0.001026% 169034 687777 0.016903% 10257 697967 0.001026% 169039 876777 0.016904% 10262 676979 0.001026% 169074 776787 0.016907% 10263 767699 0.001026% 169120 877776 0.016912% 10265 696779 0.001027% 169175 778767 0.016918% 10271 976796 0.001027% 169229 787767 0.016923% 10275 697697 0.001027% 169327 777768 0.016933% 10275 969767 0.001027% 169414 777867 0.016941% 10277 969677 0.001028% 169516 677787 0.016952% 10281 797669 0.001028% 169840 677877 0.016984% 10289 977696 0.001029% 178372 999998 0.017837% 10293 766997 0.001029% 178393 899999 0.017839% 10294 996776 0.001029% 178447 999899 0.017845% 10295 967769 0.001030% 178492 999989 0.017849% 10295 977669 0.001030% 178535 998999 0.017854% 10296 669977 0.001030% 179001 989999 0.017900% 10297 679976 0.001030% 185400 877698 0.018540% 10298 996677 0.001030% 185434 869787 0.018543% 10299 769679 0.001030% 185471 879876 0.018547% 10313 967796 0.001031% 185515 778968 0.018551% 10315 997667 0.001032% 185623 687879 0.018562% 10317 769967 0.001032% 185637 978876 0.018564% 10323 967976 0.001032% 185668 868779 0.018567% 10325 799766 0.001032% 185718 767889 0.018572% 10331 667997 0.001033% 185759 877689 0.018576% 10333 769697 0.001033% 185767 879678 0.018577% 10340 997676 0.001034% 185767 879867 0.018577% 10343 767996 0.001034% 185790 769878 0.018579% 10346 669797 0.001035% 185800 887796 0.018580% 10346 677996 0.001035% 185820 677898 0.018582% 10347 969776 0.001035% 185822 698877 0.018582% 10349 796796 0.001035% 185856 897876 0.018586% 10349 979676 0.001035% 185890 978687 0.018589% 10350 797966 0.001035% 185906 786897 0.018591% 10352 769796 0.001035% 185912 778986 0.018591% 10361 776969 0.001036% 185951 987786 0.018595% 10365 697679 0.001037% 185958 976788 0.018596% 10367 677969 0.001037% 185982 678798 0.018598% 10368 766799 0.001037% 185986 876987 0.018599% 10369 767969 0.001037% 185998 688797 0.018600% 10369 966779 0.001037% 186006 967788 0.018601% 10372 966797 0.001037% 186024 768789 0.018602% 10374 799676 0.001037% 186026 977886 0.018603% 10387 766979 0.001039% 186031 887769 0.018603% 10395 676997 0.001040% 186050 879786 0.018605% 10396 667979 0.001040% 186054 776889 0.018605% 10397 796679 0.001040% 186063 797868 0.018606% 10397 976769 0.001040% 186065 986778 0.018606% 10408 796697 0.001041% 186083 768897 0.018608% 10413 977966 0.001041% 186086 677988 0.018609% 10437 967967 0.001044% 186096 797688 0.018610% 10450 769769 0.001045% 186100 897687 0.018610% 10457 979667 0.001046% 186121 798768 0.018612% 10492 796769 0.001049% 186125 898776 0.018613% 11083 699986 0.001108% 186129 776898 0.018613% 11133 669989 0.001113% 186139 876879 0.018614% 11147 969986 0.001115% 186140 898677 0.018614% 11168 699689 0.001117% 186149 679887 0.018615% 11179 999668 0.001118% 186151 786987 0.018615% 11184 989669 0.001118% 186152 786798 0.018615% 11191 999866 0.001119% 186156 986877 0.018616% 11207 968996 0.001121% 186164 769887 0.018616% 11212 696899 0.001121% 186174 877896 0.018617% 11225 989696 0.001123% 186194 769788 0.018619% 11237 699698 0.001124% 186196 768879 0.018620% 11238 998966 0.001124% 186204 796878 0.018620% 11265 986699 0.001126% 186206 679878 0.018621% 11268 869969 0.001127% 186214 876789 0.018621% 11273 996698 0.001127% 186234 678978 0.018623% 11274 899966 0.001127% 186234 788697 0.018623% 11279 966899 0.001128% 186234 796788 0.018623% 11283 998696 0.001128% 186244 787968 0.018624% 11286 689699 0.001129% 186253 679788 0.018625% 11287 968699 0.001129% 186255 779886 0.018625% 11289 996986 0.001129% 186263 986787 0.018626% 11294 996896 0.001129% 186264 896877 0.018626% 11298 866999 0.001130% 186268 877986 0.018627% 11299 699896 0.001130% 186290 767988 0.018629% 11299 966989 0.001130% 186294 867879 0.018629% 11309 968969 0.001131% 186305 877869 0.018631% 11317 669899 0.001132% 186316 697878 0.018632% 11318 699968 0.001132% 186319 768987 0.018632% 11324 986969 0.001132% 186319 878976 0.018632% 11336 899696 0.001134% 186321 697788 0.018632% 11339 699869 0.001134% 186326 797886 0.018633% 11348 986996 0.001135% 186327 879768 0.018633% 11352 896699 0.001135% 186328 898767 0.018633% 11353 966998 0.001135% 186331 768978 0.018633% 11362 869996 0.001136% 186342 688779 0.018634% 11364 698969 0.001136% 186348 887679 0.018635% 11367 996968 0.001137% 186357 867789 0.018636% 11371 996689 0.001137% 186378 987687 0.018638% 11372 698996 0.001137% 186381 788976 0.018638% 11375 696998 0.001138% 186392 878796 0.018639% 11380 896996 0.001138% 186396 878967 0.018640% 11381 698699 0.001138% 186397 987867 0.018640% 11385 696989 0.001138% 186399 889767 0.018640% 11388 969698 0.001139% 186401 977868 0.018640% 11391 989966 0.001139% 186409 978768 0.018641% 11392 969968 0.001139% 186414 887967 0.018641% 11401 899669 0.001140% 186420 868797 0.018642% 11401 999686 0.001140% 186422 976878 0.018642% 11405 996869 0.001141% 186425 788796 0.018642% 11406 969896 0.001141% 186437 877968 0.018644% 11414 668999 0.001141% 186439 796887 0.018644% 11420 689996 0.001142% 186442 698787 0.018644% 11439 896969 0.001144% 186458 897768 0.018646% 11471 869699 0.001147% 186470 698778 0.018647% 11474 998669 0.001147% 186477 867897 0.018648% 11491 689969 0.001149% 186478 778698 0.018648% 11517 969869 0.001152% 186483 867987 0.018648% 11518 686999 0.001152% 186484 678879 0.018648% 11524 969689 0.001152% 186491 778689 0.018649% 11533 669998 0.001153% 186496 788679 0.018650% 12739 668868 0.001274% 186501 776988 0.018650% 12868 868686 0.001287% 186502 778896 0.018650% 12900 668688 0.001290% 186515 987876 0.018652% 12944 866688 0.001294% 186526 789867 0.018653% 12953 886866 0.001295% 186527 897786 0.018653% 13011 868866 0.001301% 186559 867798 0.018656% 13021 866868 0.001302% 186562 978678 0.018656% 13041 886686 0.001304% 186565 678987 0.018656% 13047 688686 0.001305% 186566 798867 0.018657% 13052 888666 0.001305% 186577 988677 0.018658% 13071 866886 0.001307% 186579 787689 0.018658% 13083 686688 0.001308% 186584 879687 0.018658% 13108 666888 0.001311% 186584 968787 0.018658% 13110 868668 0.001311% 186586 687978 0.018659% 13140 688866 0.001314% 186586 889776 0.018659% 13160 688668 0.001316% 186589 798786 0.018659% 13192 686868 0.001319% 186599 967887 0.018660% 13235 686886 0.001324% 186610 779868 0.018661% 13243 886668 0.001324% 186618 886779 0.018662% 13265 668886 0.001326% 186619 689778 0.018662% 14027 676977 0.001403% 186624 786789 0.018662% 14035 776679 0.001404% 186628 869778 0.018663% 14061 667977 0.001406% 186640 978867 0.018664% 14091 669777 0.001409% 186642 789687 0.018664% 14102 779667 0.001410% 186648 876897 0.018665% 14111 667779 0.001411% 186648 967878 0.018665% 14123 797676 0.001412% 186655 786879 0.018666% 14124 769776 0.001412% 186661 876978 0.018666% 14143 776697 0.001414% 186663 889677 0.018666% 14157 679776 0.001416% 186674 687798 0.018667% 14161 697677 0.001416% 186689 789786 0.018669% 14169 767769 0.001417% 186709 886797 0.018671% 14193 776796 0.001419% 186715 798876 0.018672% 14202 677976 0.001420% 186723 779688 0.018672% 14204 677769 0.001420% 186723 788967 0.018672% 14211 976677 0.001421% 186724 988776 0.018672% 14212 796677 0.001421% 186728 787869 0.018673% 14213 966777 0.001421% 186730 897678 0.018673% 14218 677796 0.001422% 186736 678789 0.018674% 14219 767679 0.001422% 186736 678897 0.018674% 14224 967776 0.001422% 186738 689787 0.018674% 14226 679677 0.001423% 186745 878679 0.018675% 14231 769767 0.001423% 186748 897867 0.018675% 14233 796767 0.001423% 186767 798687 0.018677% 14235 769677 0.001424% 186768 786978 0.018677% 14235 977676 0.001424% 186772 988767 0.018677% 14242 967677 0.001424% 186776 976887 0.018678% 14253 696777 0.001425% 186778 798678 0.018678% 14273 976767 0.001427% 186785 887976 0.018679% 14276 697767 0.001428% 186786 778869 0.018679% 14281 676797 0.001428% 186809 688977 0.018681% 14291 977766 0.001429% 186811 867978 0.018681% 14309 766797 0.001431% 186827 887697 0.018683% 14309 777669 0.001431% 186830 687897 0.018683% 14313 777696 0.001431% 186833 789678 0.018683% 14315 777966 0.001431% 186851 788769 0.018685% 14320 776967 0.001432% 186860 767898 0.018686% 14325 976776 0.001432% 186864 789768 0.018686% 14329 677697 0.001433% 186867 896787 0.018687% 14333 776976 0.001433% 186877 677889 0.018688% 14343 977667 0.001434% 186880 987768 0.018688% 14349 779676 0.001435% 186896 687789 0.018690% 14355 766977 0.001436% 186916 687987 0.018692% 14362 796776 0.001436% 186936 978786 0.018694% 14364 677967 0.001436% 186948 768798 0.018695% 14368 677679 0.001437% 187001 787698 0.018700% 14390 767967 0.001439% 187047 787986 0.018705% 14394 767976 0.001439% 187059 878697 0.018706% 14395 797667 0.001440% 187098 789876 0.018710% 14397 767697 0.001440% 187134 886977 0.018713% 14405 697776 0.001440% 187142 787896 0.018714% 14417 776769 0.001442% 187151 968778 0.018715% 14429 797766 0.001443% 187161 869877 0.018716% 14432 679767 0.001443% 187167 896778 0.018717% 14433 779766 0.001443% 187179 878769 0.018718% 14457 766779 0.001446% 187205 987678 0.018721% 14467 676779 0.001447% 187209 697887 0.018721% 14490 667797 0.001449% 187260 868977 0.018726% 14509 767796 0.001451% 187291 876798 0.018729% 14534 967767 0.001453% 187499 689877 0.018750% 15378 698679 0.001538% 187517 977688 0.018752% 15477 976698 0.001548% 187549 968877 0.018755% 15503 989766 0.001550% 204522 889869 0.020452% 15510 667989 0.001551% 204887 688998 0.020489% 15513 768996 0.001551% 204944 988986 0.020494% 15517 968967 0.001552% 205049 896898 0.020505% 15519 969876 0.001552% 205050 889986 0.020505% 15532 766989 0.001553% 205062 898986 0.020506% 15540 966798 0.001554% 205162 988698 0.020516% 15551 768969 0.001555% 205209 988968 0.020521% 15554 967968 0.001555% 205213 898698 0.020521% 15558 876699 0.001556% 205263 968898 0.020526% 15561 976689 0.001556% 205361 969888 0.020536% 15563 697968 0.001556% 205369 988896 0.020537% 15573 679896 0.001557% 205399 896988 0.020540% 15579 768699 0.001558% 205417 698898 0.020542% 15600 987966 0.001560% 205430 689889 0.020543% 15603 967869 0.001560% 205495 896889 0.020550% 15605 696789 0.001561% 205507 869889 0.020551% 15605 987669 0.001561% 205550 868998 0.020555% 15608 879669 0.001561% 205552 699888 0.020555% 15622 897669 0.001562% 205654 899868 0.020565% 15625 769698 0.001563% 205659 998868 0.020566% 15628 967698 0.001563% 205673 886998 0.020567% 15629 696978 0.001563% 205687 869988 0.020569% 15632 987696 0.001563% 205692 886989 0.020569% 15633 798669 0.001563% 205695 889698 0.020569% 15636 986679 0.001564% 205697 998688 0.020570% 15637 769986 0.001564% 205717 698889 0.020572% 15642 699768 0.001564% 205740 889968 0.020574% 15647 698976 0.001565% 205743 898968 0.020574% 15650 979866 0.001565% 205751 996888 0.020575% 15652 697689 0.001565% 205752 986898 0.020575% 15657 897966 0.001566% 205760 968988 0.020576% 15659 697986 0.001566% 205761 698988 0.020576% 15664 996876 0.001566% 205817 998886 0.020582% 15667 986697 0.001567% 205832 689898 0.020583% 15669 678996 0.001567% 205833 869898 0.020583% 15671 869679 0.001567% 205853 898869 0.020585% 15671 876969 0.001567% 205881 888699 0.020588% 15674 679869 0.001567% 205885 968889 0.020588% 15682 669897 0.001568% 205915 988689 0.020592% 15682 687699 0.001568% 205978 898896 0.020598% 15684 689976 0.001568% 205990 899688 0.020599% 15684 766998 0.001568% 206006 888969 0.020601% 15686 899667 0.001569% 206021 989886 0.020602% 15686 968697 0.001569% 206040 889689 0.020604% 15689 699678 0.001569% 206045 899886 0.020605% 15692 869796 0.001569% 206050 689988 0.020605% 15692 969786 0.001569% 206073 988869 0.020607% 15693 669789 0.001569% 206106 986988 0.020611% 15695 978669 0.001570% 206131 889896 0.020613% 15697 689679 0.001570% 206164 888996 0.020616% 15697 867699 0.001570% 206245 868989 0.020625% 15697 869697 0.001570% 206262 986889 0.020626% 15697 978966 0.001570% 206270 989868 0.020627% 15701 969768 0.001570% 206289 989688 0.020629% 15702 667899 0.001570% 206299 688989 0.020630% 15703 866979 0.001570% 206329 688899 0.020633% 15704 699876 0.001570% 206353 886899 0.020635% 15704 879696 0.001570% 206404 898689 0.020640% 15705 966789 0.001570% 206484 868899 0.020648% 15706 866799 0.001571% 224315 779799 0.022432% 15707 978696 0.001571% 224399 797799 0.022440% 15708 899766 0.001571% 224405 977979 0.022441% 15708 976896 0.001571% 224504 777999 0.022450% 15709 899676 0.001571% 224600 779979 0.022460% 15711 696879 0.001571% 224665 799977 0.022467% 15711 698697 0.001571% 224813 797997 0.022481% 15717 798966 0.001572% 224947 979779 0.022495% 15719 676998 0.001572% 225043 997779 0.022504% 15723 789696 0.001572% 225062 799797 0.022506% 15724 979686 0.001572% 225087 977799 0.022509% 15725 668979 0.001572% 225137 799779 0.022514% 15725 679698 0.001572% 225163 997797 0.022516% 15725 686979 0.001572% 225172 977997 0.022517% 15727 769968 0.001573% 225187 979797 0.022519% 15727 986967 0.001573% 225236 779997 0.022524% 15728 968976 0.001573% 225286 999777 0.022529% 15733 966879 0.001573% 225425 979977 0.022543% 15735 869967 0.001574% 225655 797979 0.022566% 15735 976986 0.001574% 225866 997977 0.022587% 15736 796896 0.001574% 247268 998799 0.024727% 15737 968796 0.001574% 247445 899799 0.024744% 15743 696798 0.001574% 247519 979899 0.024752% 15743 698769 0.001574% 247681 998997 0.024768% 15744 968679 0.001574% 247796 979989 0.024780% 15746 789669 0.001575% 247812 989979 0.024781% 15753 966987 0.001575% 247821 997899 0.024782% 15756 896967 0.001576% 247879 989997 0.024788% 15758 996678 0.001576% 247908 997998 0.024791% 15760 669879 0.001576% 247956 999987 0.024796% 15760 967689 0.001576% 248014 899979 0.024801% 15762 699867 0.001576% 248049 789999 0.024805% 15763 689697 0.001576% 248167 999879 0.024817% 15769 676899 0.001577% 248171 978999 0.024817% 15769 969678 0.001577% 248268 799998 0.024827% 15770 696987 0.001577% 248270 997989 0.024827% 15771 696897 0.001577% 248317 999897 0.024832% 15775 879966 0.001578% 248444 897999 0.024844% 15778 769869 0.001578% 248469 799899 0.024847% 15778 786969 0.001578% 248470 987999 0.024847% 15779 967986 0.001578% 248602 799989 0.024860% 15780 976968 0.001578% 248603 998979 0.024860% 15782 689796 0.001578% 248605 999798 0.024861% 15783 976869 0.001578% 248633 798999 0.024863% 15791 698796 0.001579% 248694 879999 0.024869% 15791 869976 0.001579% 248709 989799 0.024871% 15791 998676 0.001579% 248745 979998 0.024874% 15792 667998 0.001579% 248963 999978 0.024896% 15794 989667 0.001579% 249183 899997 0.024918% 15795 769689 0.001579% 249211 999789 0.024921% 15795 869769 0.001579% 258425 778786 0.025843% 15796 786699 0.001580% 258543 868777 0.025854% 15802 798696 0.001580% 258698 877768 0.025870% 15803 679689 0.001580% 258767 877678 0.025877% 15803 996786 0.001580% 258845 877867 0.025885% 15809 668997 0.001581% 259003 768877 0.025900% 15809 769896 0.001581% 259069 788776 0.025907% 15810 968769 0.001581% 259079 878776 0.025908% 15811 967896 0.001581% 259121 776788 0.025912% 15815 697869 0.001582% 259122 876778 0.025912% 15820 789966 0.001582% 259166 787768 0.025917% 15821 679986 0.001582% 259210 878677 0.025921% 15821 687969 0.001582% 259225 887677 0.025923% 15821 966897 0.001582% 259257 886777 0.025926% 15823 799866 0.001582% 259267 778876 0.025927% 15823 896697 0.001582% 259294 678787 0.025929% 15824 989676 0.001582% 259331 776887 0.025933% 15826 786996 0.001583% 259343 786778 0.025934% 15828 766899 0.001583% 259371 787786 0.025937% 15831 996768 0.001583% 259390 678877 0.025939% 15838 896679 0.001584% 259419 768778 0.025942% 15840 866997 0.001584% 259442 687787 0.025944% 15840 998766 0.001584% 259460 788677 0.025946% 15850 686997 0.001585% 259476 778768 0.025948% 15853 796986 0.001585% 259485 777868 0.025948% 15854 679968 0.001585% 259510 677878 0.025951% 15854 986796 0.001585% 259520 767887 0.025952% 15855 699687 0.001585% 259525 867877 0.025952% 15855 867996 0.001585% 259527 778678 0.025953% 15861 796968 0.001586% 259542 786877 0.025954% 15865 669798 0.001587% 259561 878767 0.025956% 15865 678969 0.001587% 259575 688777 0.025958% 15868 676989 0.001587% 259583 767788 0.025958% 15868 689769 0.001587% 259601 777688 0.025960% 15869 686799 0.001587% 259605 687877 0.025960% 15870 687996 0.001587% 259644 877687 0.025964% 15870 689967 0.001587% 259669 777886 0.025967% 15871 896796 0.001587% 259671 867787 0.025967% 15872 986769 0.001587% 259682 687778 0.025968% 15873 969687 0.001587% 259698 787876 0.025970% 15874 799668 0.001587% 259726 776878 0.025973% 15876 966978 0.001588% 259735 786787 0.025973% 15881 678699 0.001588% 259760 876787 0.025976% 15882 698967 0.001588% 259770 887767 0.025977% 15883 986976 0.001588% 259801 788767 0.025980% 15883 997668 0.001588% 259881 678778 0.025988% 15885 979668 0.001589% 259896 787687 0.025990% 15889 669987 0.001589% 259920 887776 0.025992% 15897 796689 0.001590% 259966 867778 0.025997% 15899 796869 0.001590% 259967 877876 0.025997% 15899 996687 0.001590% 260042 787678 0.026004% 15900 997686 0.001590% 260067 778687 0.026007% 15908 799686 0.001591% 260090 876877 0.026009% 15914 996867 0.001591% 260116 787867 0.026012% 15921 669978 0.001592% 260131 677887 0.026013% 15923 876996 0.001592% 260194 767878 0.026019% 15924 896976 0.001592% 260305 768787 0.026031% 15926 668799 0.001593% 260318 877786 0.026032% 15926 997866 0.001593% 260321 677788 0.026032% 15929 969867 0.001593% 260386 778867 0.026039% 15940 867969 0.001594% 284825 988768 0.028483% 15940 998667 0.001594% 285417 889867 0.028542% 15966 896769 0.001597% 285443 896887 0.028544% 15968 699786 0.001597% 285476 886789 0.028548% 15977 897696 0.001598% 285486 769888 0.028549% 15978 697698 0.001598% 285611 869788 0.028561% 15995 796698 0.001599% 285682 687889 0.028568% 16004 697896 0.001600% 285716 986788 0.028572% 19715 776677 0.001972% 285738 798886 0.028574% 19758 776776 0.001976% 285755 896878 0.028576% 19764 777766 0.001976% 285815 687898 0.028581% 19768 677776 0.001977% 285818 698788 0.028582% 19787 677767 0.001979% 285825 978868 0.028583% 19858 777667 0.001986% 285837 898876 0.028584% 19890 767677 0.001989% 285864 976888 0.028586% 19890 776767 0.001989% 285911 898768 0.028591% 19955 777676 0.001996% 285913 868789 0.028591% 20017 766777 0.002002% 285946 878698 0.028595% 20024 667777 0.002002% 286016 786898 0.028602% 20070 677677 0.002007% 286017 789688 0.028602% 20082 676777 0.002008% 286032 788968 0.028603% 20122 767776 0.002012% 286042 689878 0.028604% 20258 767767 0.002026% 286143 988678 0.028614% 20902 999699 0.002090% 286145 788986 0.028615% 20940 699999 0.002094% 286145 887986 0.028615% 20978 999996 0.002098% 286196 988687 0.028620% 21001 999969 0.002100% 286202 689887 0.028620% 21189 969999 0.002119% 286209 867898 0.028621% 21337 996999 0.002134% 286234 987868 0.028623% 21586 677968 0.002159% 286250 688879 0.028625% 21592 978766 0.002159% 286273 967888 0.028627% 21602 976678 0.002160% 286277 878689 0.028628% 21615 697876 0.002161% 286302 887968 0.028630% 21631 769687 0.002163% 286313 789868 0.028631% 21660 879667 0.002166% 286320 879868 0.028632% 21675 986677 0.002168% 286331 868897 0.028633% 21688 778696 0.002169% 286331 876988 0.028633% 21697 786796 0.002170% 286337 888679 0.028634% 21698 768967 0.002170% 286348 888796 0.028635% 21714 689776 0.002171% 286367 986878 0.028637% 21731 977866 0.002173% 286388 988867 0.028639% 21740 687976 0.002174% 286389 888967 0.028639% 21741 676978 0.002174% 286390 768898 0.028639% 21745 867679 0.002174% 286430 888697 0.028643% 21748 896677 0.002175% 286434 898687 0.028643% 21760 678769 0.002176% 286453 988876 0.028645% 21760 776896 0.002176% 286474 868978 0.028647% 21765 776689 0.002177% 286475 886987 0.028647% 21773 976687 0.002177% 286500 867889 0.028650% 21779 867769 0.002178% 286513 886978 0.028651% 21782 796687 0.002178% 286516 887698 0.028652% 21783 977686 0.002178% 286518 867988 0.028652% 21790 768697 0.002179% 286519 987886 0.028652% 21796 667798 0.002180% 286523 796888 0.028652% 21797 769768 0.002180% 286531 889786 0.028653% 21799 897766 0.002180% 286550 879886 0.028655% 21816 798766 0.002182% 286553 898678 0.028655% 21818 778669 0.002182% 286561 897886 0.028656% 21821 786697 0.002182% 286566 869887 0.028657% 21821 976867 0.002182% 286568 678898 0.028657% 21822 976768 0.002182% 286573 878986 0.028657% 21826 766897 0.002183% 286573 879688 0.028657% 21827 687796 0.002183% 286591 688789 0.028659% 21828 697786 0.002183% 286594 788698 0.028659% 21830 798676 0.002183% 286601 897688 0.028660% 21832 978667 0.002183% 286602 888769 0.028660% 21838 766798 0.002184% 286609 868879 0.028661% 21839 769867 0.002184% 286617 788896 0.028662% 21840 668797 0.002184% 286636 889687 0.028664% 21840 668977 0.002184% 286641 876889 0.028664% 21842 676897 0.002184% 286641 988786 0.028664% 21844 679768 0.002184% 286647 878869 0.028665% 21851 686797 0.002185% 286650 678889 0.028665% 21851 879766 0.002185% 286666 688978 0.028667% 21852 967687 0.002185% 286675 679888 0.028668% 21854 768769 0.002185% 286676 798688 0.028668% 21854 869776 0.002185% 286679 697888 0.028668% 21859 896767 0.002186% 286693 888976 0.028669% 21860 867976 0.002186% 286694 886798 0.028669% 21864 796678 0.002186% 286723 897868 0.028672% 21865 766879 0.002187% 286747 898786 0.028675% 21868 679678 0.002187% 286764 768988 0.028676% 21868 698677 0.002187% 286767 786988 0.028677% 21870 676798 0.002187% 286770 688798 0.028677% 21872 987766 0.002187% 286773 788689 0.028677% 21873 877696 0.002187% 286775 978688 0.028678% 21874 677869 0.002187% 286788 886879 0.028679% 21874 876697 0.002187% 286791 868798 0.028679% 21875 679687 0.002187% 286817 978886 0.028682% 21877 667789 0.002188% 286834 968788 0.028683% 21879 778966 0.002188% 286837 868987 0.028684% 21880 677698 0.002188% 286865 798868 0.028687% 21881 796876 0.002188% 286877 887896 0.028688% 21882 676789 0.002188% 286882 896788 0.028688% 21884 667978 0.002188% 286922 698878 0.028692% 21885 967678 0.002189% 286934 878968 0.028693% 21895 968767 0.002190% 286953 768889 0.028695% 21898 776869 0.002190% 286958 887689 0.028696% 21902 876967 0.002190% 286973 887869 0.028697% 21902 976876 0.002190% 287014 968887 0.028701% 21904 776968 0.002190% 287035 889768 0.028703% 21911 797866 0.002191% 287052 688897 0.028705% 21915 786967 0.002191% 287054 886897 0.028705% 21915 877669 0.002191% 287078 869878 0.028708% 21916 767869 0.002192% 287080 698887 0.028708% 21916 967786 0.002192% 287083 678988 0.028708% 21917 787966 0.002192% 287112 889876 0.028711% 21922 869677 0.002192% 287171 689788 0.028717% 21923 689677 0.002192% 287268 788869 0.028727% 21926 668779 0.002193% 287347 986887 0.028735% 21926 766978 0.002193% 287415 889678 0.028741% 21929 687697 0.002193% 287425 987688 0.028743% 21931 966778 0.002193% 287451 876898 0.028745% 21934 869767 0.002193% 287467 688987 0.028747% 21936 677689 0.002194% 287478 687988 0.028748% 21938 669778 0.002194% 287487 898867 0.028749% 21939 789667 0.002194% 287491 878896 0.028749% 21940 697678 0.002194% 287507 968878 0.028751% 21941 689767 0.002194% 287713 786889 0.028771% 21943 677896 0.002194% 288011 789886 0.028801% 21944 786976 0.002194% 311875 797977 0.031187% 21944 789676 0.002194% 312522 777799 0.031252% 21944 867796 0.002194% 312523 977977 0.031252% 21950 679876 0.002195% 312823 977779 0.031282% 21950 697867 0.002195% 312939 777979 0.031294% 21951 696787 0.002195% 312977 779977 0.031298% 21952 679867 0.002195% 313028 779779 0.031303% 21958 879676 0.002196% 313321 777997 0.031332% 21961 776698 0.002196% 313434 797797 0.031343% 21964 776986 0.002196% 313591 979777 0.031359% 21967 687967 0.002197% 313617 997777 0.031362% 21970 767986 0.002197% 313940 797779 0.031394% 21970 867967 0.002197% 313995 779797 0.031400% 21971 876796 0.002197% 314729 977797 0.031473% 21972 866977 0.002197% 314876 799777 0.031488% 21973 967867 0.002197% 344759 798997 0.034476% 21976 767896 0.002198% 344771 778999 0.034477% 21977 686977 0.002198% 344814 799897 0.034481% 21977 896776 0.002198% 344889 989797 0.034489% 21979 978676 0.002198% 345016 897979 0.034502% 21981 698767 0.002198% 345047 899977 0.034505% 21981 876769 0.002198% 345096 789979 0.034510% 21985 779686 0.002198% 345209 987799 0.034521% 21986 678697 0.002199% 345213 979789 0.034521% 21992 686779 0.002199% 345268 899779 0.034527% 21995 677986 0.002200% 345276 989779 0.034528% 21995 678976 0.002200% 345289 997978 0.034529% 21995 779668 0.002200% 345307 997897 0.034531% 21996 968776 0.002200% 345312 978799 0.034531% 21997 669877 0.002200% 345315 977998 0.034531% 21999 768796 0.002200% 345319 879799 0.034532% 21999 897676 0.002200% 345414 787999 0.034541% 22001 769678 0.002200% 345417 799987 0.034542% 22001 866779 0.002200% 345425 989977 0.034543% 22001 987676 0.002200% 345452 979879 0.034545% 22002 796786 0.002200% 345458 897799 0.034546% 22004 696778 0.002200% 345477 977899 0.034548% 22006 797686 0.002201% 345501 789799 0.034550% 22014 787669 0.002201% 345523 997798 0.034552% 22015 986767 0.002201% 345590 879997 0.034559% 22019 769786 0.002202% 345607 779989 0.034561% 22020 967768 0.002202% 345623 998779 0.034562% 22021 767968 0.002202% 345726 789997 0.034573% 22030 667897 0.002203% 345740 897997 0.034574% 22035 987667 0.002204% 345743 899797 0.034574% 22040 866797 0.002204% 345762 999787 0.034576% 22045 876976 0.002204% 345837 798979 0.034584% 22051 676987 0.002205% 345837 998797 0.034584% 22052 768679 0.002205% 345866 987997 0.034587% 22053 678679 0.002205% 345957 997987 0.034596% 22054 867697 0.002205% 345959 877999 0.034596% 22059 966787 0.002206% 345994 977989 0.034599% 22060 687769 0.002206% 345998 999778 0.034600% 22066 678967 0.002207% 346006 779998 0.034601% 22069 698776 0.002207% 346030 797989 0.034603% 22073 976786 0.002207% 346068 799879 0.034607% 22084 977668 0.002208% 346082 797998 0.034608% 22089 696877 0.002209% 346170 979897 0.034617% 22091 877966 0.002209% 346244 997879 0.034624% 22101 767698 0.002210% 346286 799978 0.034629% 22102 766789 0.002210% 346301 799798 0.034630% 22103 766987 0.002210% 346320 798799 0.034632% 22104 966877 0.002210% 346340 799789 0.034634% 22109 669787 0.002211% 346381 998977 0.034638% 22118 786679 0.002212% 346391 999877 0.034639% 22121 678796 0.002212% 346484 979987 0.034648% 22122 786769 0.002212% 346524 987979 0.034652% 22132 767689 0.002213% 346584 879979 0.034658% 22135 787696 0.002214% 346592 797899 0.034659% 22138 797668 0.002214% 346607 978997 0.034661% 22144 967876 0.002214% 346709 997789 0.034671% 22146 687679 0.002215% 346769 979978 0.034677% 22148 697768 0.002215% 346825 979798 0.034682% 22159 779866 0.002216% 346832 978979 0.034683% 22164 769876 0.002216% 347006 779899 0.034701% 22173 968677 0.002217% 380907 999988 0.038091% 22175 876679 0.002217% 381092 898999 0.038109% 22176 986776 0.002218% 381653 989989 0.038165% 22178 798667 0.002218% 381675 998998 0.038168% 22179 768976 0.002218% 381779 889999 0.038178% 22194 796867 0.002219% 381791 988999 0.038179% 22201 697687 0.002220% 381811 999898 0.038181% 22211 676879 0.002221% 381904 998989 0.038190% 22220 667987 0.002222% 382067 999889 0.038207% 22232 796768 0.002223% 382258 989998 0.038226% 22273 667879 0.002227% 382322 899989 0.038232% 22279 789766 0.002228% 382444 989899 0.038244% 22306 679786 0.002231% 382583 998899 0.038258% 22400 897667 0.002240% 382684 899899 0.038268% 23795 688996 0.002379% 382830 899998 0.038283% 23876 998866 0.002388% 397663 878768 0.039766% 23931 896698 0.002393% 397974 877868 0.039797% 23963 698896 0.002396% 397995 887687 0.039800% 23999 689689 0.002400% 398136 887768 0.039814% 24011 989668 0.002401% 398232 778886 0.039823% 24025 699868 0.002403% 398273 678788 0.039827% 24025 896968 0.002403% 398277 867878 0.039828% 24026 699688 0.002403% 398297 786878 0.039830% 24033 968869 0.002403% 398306 876788 0.039831% 24035 989866 0.002403% 398347 788678 0.039835% 24040 896869 0.002404% 398514 877688 0.039851% 24056 869689 0.002406% 398524 876878 0.039852% 24058 896896 0.002406% 398569 778688 0.039857% 24065 996886 0.002407% 398589 688778 0.039859% 24076 669889 0.002408% 398661 768887 0.039866% 24105 869896 0.002410% 398674 867788 0.039867% 24105 986986 0.002410% 398713 867887 0.039871% 24112 966889 0.002411% 398736 786887 0.039874% 24113 966988 0.002411% 398750 878876 0.039875% 24126 669988 0.002413% 398787 687878 0.039879% 24140 869986 0.002414% 398859 786788 0.039886% 24147 986896 0.002415% 398889 788786 0.039889% 24150 968689 0.002415% 398899 788867 0.039890% 24157 899866 0.002416% 398936 888776 0.039894% 24159 668989 0.002416% 398941 787886 0.039894% 24166 998668 0.002417% 398963 887678 0.039896% 24167 898696 0.002417% 398982 887786 0.039898% 24169 868996 0.002417% 398992 787688 0.039899% 24169 889696 0.002417% 399010 776888 0.039901% 24176 688699 0.002418% 399063 787868 0.039906% 24180 696898 0.002418% 399078 887867 0.039908% 24180 889966 0.002418% 399163 878786 0.039916% 24182 969688 0.002418% 399181 768878 0.039918% 24193 896689 0.002419% 399191 788768 0.039919% 24201 698869 0.002420% 399293 767888 0.039929% 24202 889669 0.002420% 399367 868778 0.039937% 24210 689986 0.002421% 399413 878678 0.039941% 24213 689698 0.002421% 399450 687887 0.039945% 24216 866998 0.002422% 399453 678887 0.039945% 24217 996868 0.002422% 399462 788876 0.039946% 24232 988669 0.002423% 399476 788687 0.039948% 24233 698986 0.002423% 399490 687788 0.039949% 24238 869968 0.002424% 399586 888677 0.039959% 24244 988696 0.002424% 399593 768788 0.039959% 24248 869869 0.002425% 399597 688877 0.039960% 24250 986869 0.002425% 399614 878687 0.039961% 24254 688969 0.002425% 399714 878867 0.039971% 24255 998686 0.002426% 399755 877886 0.039976% 24264 866989 0.002426% 399762 688787 0.039976% 24274 696988 0.002427% 399817 886877 0.039982% 24275 668998 0.002427% 399832 868787 0.039983% 24282 668899 0.002428% 399920 778868 0.039992% 24282 686899 0.002428% 399951 868877 0.039995% 24291 899686 0.002429% 399981 886787 0.039998% 24293 968986 0.002429% 400027 887876 0.040003% 24300 896986 0.002430% 400029 888767 0.040003% 24304 699886 0.002430% 400269 678878 0.040027% 24306 698689 0.002431% 400536 677888 0.040054% 24306 868969 0.002431% 400718 876887 0.040072% 24310 868699 0.002431% 401024 886778 0.040102% 24315 899668 0.002432% 435008 779777 0.043501% 24316 686998 0.002432% 435079 777797 0.043508% 24316 866899 0.002432% 435093 777977 0.043509% 24325 898966 0.002432% 435208 797777 0.043521% 24335 886699 0.002433% 435712 777779 0.043571% 24341 698698 0.002434% 436776 977777 0.043678% 24341 986689 0.002434% 439142 898868 0.043914% 24344 968698 0.002434% 439645 888689 0.043965% 24344 968896 0.002434% 439709 888986 0.043971% 24352 698968 0.002435% 439781 888896 0.043978% 24354 696889 0.002435% 440037 689888 0.044004% 24376 669898 0.002438% 440051 889868 0.044005% 24386 986698 0.002439% 440063 888869 0.044006% 24388 986968 0.002439% 440078 868898 0.044008% 24397 966898 0.002440% 440127 988868 0.044013% 24400 969886 0.002440% 440168 869888 0.044017% 24405 689896 0.002440% 440173 889688 0.044017% 24408 869698 0.002441% 440197 698888 0.044020% 24414 996688 0.002441% 440219 868889 0.044022% 24424 989686 0.002442% 440245 688988 0.044025% 24437 898669 0.002444% 440269 988886 0.044027% 24448 968968 0.002445% 440434 898688 0.044043% 24515 689968 0.002452% 440465 886889 0.044047% 24523 886996 0.002452% 440520 898886 0.044052% 24544 988966 0.002454% 440535 886988 0.044053% 24582 969868 0.002458% 440598 868988 0.044060% 24601 686989 0.002460% 440605 986888 0.044061% 24626 689869 0.002463% 440871 688898 0.044087% 24630 886969 0.002463% 440882 888968 0.044088% 29016 679999 0.002902% 440883 988688 0.044088% 29071 699799 0.002907% 440935 886898 0.044094% 29080 999679 0.002908% 440958 889886 0.044096% 29089 976999 0.002909% 441423 968888 0.044142% 29112 979699 0.002911% 441462 888698 0.044146% 29113 999976 0.002911% 441559 896888 0.044156% 29125 999967 0.002913% 441992 688889 0.044199% 29127 996997 0.002913% 479486 779789 0.047949% 29157 699979 0.002916% 480381 787997 0.048038% 29177 979969 0.002918% 480386 798779 0.048039% 29186 999769 0.002919% 480398 797789 0.048040% 29213 996979 0.002921% 480516 979778 0.048052% 29226 699997 0.002923% 480629 877997 0.048063% 29226 979996 0.002923% 480708 989777 0.048071% 29238 997996 0.002924% 480754 987977 0.048075% 29265 799996 0.002926% 480882 877979 0.048088% 29270 999697 0.002927% 480904 777899 0.048090% 29273 969997 0.002927% 480920 799877 0.048092% 29275 999796 0.002927% 480923 797987 0.048092% 29309 969799 0.002931% 481009 789779 0.048101% 29333 769999 0.002933% 481023 899777 0.048102% 29362 997969 0.002936% 481113 798797 0.048111% 29373 796999 0.002937% 481138 977798 0.048114% 29377 799969 0.002938% 481152 789977 0.048115% 29383 697999 0.002938% 481248 779897 0.048125% 29396 997699 0.002940% 481279 778997 0.048128% 29420 799699 0.002942% 481351 879977 0.048135% 29508 967999 0.002951% 481357 787799 0.048136% 29534 996799 0.002953% 481369 879779 0.048137% 29566 969979 0.002957% 481387 897797 0.048139% 30154 776876 0.003015% 481426 799778 0.048143% 30177 767867 0.003018% 481433 799787 0.048143% 30202 777686 0.003020% 481436 778799 0.048144% 30267 767768 0.003027% 481452 978779 0.048145% 30285 776867 0.003028% 481471 797798 0.048147% 30341 677687 0.003034% 481504 987797 0.048150% 30346 777866 0.003035% 481507 879797 0.048151% 30349 767687 0.003035% 481532 987779 0.048153% 30363 677678 0.003036% 481574 787979 0.048157% 30368 877667 0.003037% 481595 997787 0.048160% 30370 778676 0.003037% 481611 797879 0.048161% 30373 667787 0.003037% 481632 778979 0.048163% 30381 867677 0.003038% 481696 779978 0.048170% 30391 776687 0.003039% 481720 779798 0.048172% 30396 676778 0.003040% 481776 997877 0.048178% 30397 677876 0.003040% 481831 797897 0.048183% 30407 877766 0.003041% 481852 798977 0.048185% 30420 767678 0.003042% 481863 777998 0.048186% 30440 776786 0.003044% 481867 978977 0.048187% 30443 786767 0.003044% 481870 997778 0.048187% 30446 687677 0.003045% 481964 897779 0.048196% 30447 687776 0.003045% 481979 779987 0.048198% 30453 768776 0.003045% 482026 977978 0.048203% 30455 686777 0.003046% 482060 779879 0.048206% 30474 867776 0.003047% 482078 977789 0.048208% 30478 768767 0.003048% 482112 777989 0.048211% 30483 667778 0.003048% 482122 979877 0.048212% 30494 667877 0.003049% 482131 897977 0.048213% 30507 677867 0.003051% 482144 977987 0.048214% 30507 776678 0.003051% 482151 977879 0.048215% 30512 876677 0.003051% 482185 977897 0.048218% 30519 787667 0.003052% 482333 797978 0.048233% 30525 678776 0.003053% 482447 877799 0.048245% 30530 876767 0.003053% 482510 998777 0.048251% 30543 677786 0.003054% 482525 979787 0.048252% 30547 668777 0.003055% 482570 789797 0.048257% 30548 778667 0.003055% 482628 978797 0.048263% 30557 877676 0.003056% 530103 879989 0.053010% 30566 676877 0.003057% 530268 899879 0.053027% 30579 876776 0.003058% 530447 799898 0.053045% 30583 867767 0.003058% 530480 979988 0.053048% 30584 687767 0.003058% 530594 998978 0.053059% 30586 677768 0.003059% 530644 978989 0.053064% 30587 787766 0.003059% 530749 798998 0.053075% 30608 786677 0.003061% 530818 989897 0.053082% 30614 776768 0.003061% 530846 998798 0.053085% 30615 866777 0.003061% 530858 789989 0.053086% 30636 768677 0.003064% 530890 899789 0.053089% 30640 766778 0.003064% 530904 798899 0.053090% 30649 767876 0.003065% 530946 889799 0.053095% 30650 778766 0.003065% 530958 989987 0.053096% 30663 767786 0.003066% 531126 898979 0.053113% 30670 678677 0.003067% 531141 899987 0.053114% 30720 766787 0.003072% 531160 899798 0.053116% 30735 676787 0.003074% 531164 789998 0.053116% 30757 786776 0.003076% 531168 799988 0.053117% 30767 766877 0.003077% 531290 798989 0.053129% 30775 777668 0.003078% 531304 898799 0.053130% 30950 678767 0.003095% 531343 997898 0.053134% 30999 787676 0.003100% 531389 799889 0.053139% 33249 798686 0.003325% 531403 979889 0.053140% 33333 887696 0.003333% 531433 989789 0.053143% 33338 669887 0.003334% 531447 789899 0.053145% 33345 687869 0.003334% 531456 889979 0.053146% 33376 869678 0.003338% 531506 879899 0.053151% 33399 896687 0.003340% 531520 897899 0.053152% 33402 879668 0.003340% 531535 879998 0.053153% 33405 966788 0.003341% 531539 988799 0.053154% 33406 866798 0.003341% 531556 979898 0.053156% 33412 868796 0.003341% 531558 998789 0.053156% 33413 676889 0.003341% 531596 978998 0.053160% 33446 786869 0.003345% 531599 899897 0.053160% 33464 968678 0.003346% 531614 898997 0.053161% 33466 687698 0.003347% 531689 987899 0.053169% 33476 786986 0.003348% 531706 978899 0.053171% 33478 668798 0.003348% 531722 989879 0.053172% 33489 889766 0.003349% 531737 999887 0.053174% 33498 968786 0.003350% 531759 999878 0.053176% 33500 686978 0.003350% 531795 997889 0.053180% 33520 878696 0.003352% 531798 999788 0.053180% 33527 676988 0.003353% 531809 998879 0.053181% 33527 768689 0.003353% 531928 988997 0.053193% 33529 978866 0.003353% 531974 989978 0.053197% 33530 876698 0.003353% 531975 897998 0.053197% 33532 686789 0.003353% 531988 887999 0.053199% 33533 696887 0.003353% 531996 997988 0.053200% 33536 667988 0.003354% 532056 897989 0.053206% 33537 869867 0.003354% 532096 988979 0.053210% 33538 878669 0.003354% 532101 998897 0.053210% 33540 679688 0.003354% 532107 987998 0.053211% 33542 686879 0.003354% 532159 998987 0.053216% 33546 786896 0.003355% 532299 788999 0.053230% 33548 896678 0.003355% 532456 889997 0.053246% 33549 988667 0.003355% 532539 899978 0.053254% 33550 769886 0.003355% 532595 989798 0.053259% 33554 867698 0.003355% 532629 987989 0.053263% 33561 768986 0.003356% 532700 878999 0.053270% 33566 889667 0.003357% 607036 777777 0.060704% 33569 868976 0.003357% 611888 886887 0.061189% 33570 886697 0.003357% 612622 888876 0.061262% 33580 768896 0.003358% 612666 876888 0.061267% 33581 768968 0.003358% 612984 868878 0.061298% 33586 796868 0.003359% 613178 768888 0.061318% 33594 867689 0.003359% 613182 867888 0.061318% 33595 967886 0.003360% 613193 688878 0.061319% 33597 868697 0.003360% 613198 878886 0.061320% 33601 987668 0.003360% 613252 888687 0.061325% 33606 689786 0.003361% 613270 888867 0.061327% 33607 869876 0.003361% 613422 788886 0.061342% 33613 789866 0.003361% 613446 888768 0.061345% 33622 867869 0.003362% 613484 886878 0.061348% 33623 868967 0.003362% 613804 678888 0.061380% 33629 698876 0.003363% 613805 878688 0.061381% 33630 786689 0.003363% 613807 868887 0.061381% 33641 668978 0.003364% 613812 788868 0.061381% 33646 986876 0.003365% 613854 868788 0.061385% 33652 986678 0.003365% 613952 888786 0.061395% 33655 668879 0.003366% 613992 688788 0.061399% 33660 866987 0.003366% 614031 878868 0.061403% 33660 896768 0.003366% 614042 887886 0.061404% 33661 669788 0.003366% 614109 688887 0.061411% 33663 987686 0.003366% 614226 887868 0.061423% 33669 686897 0.003367% 614234 788688 0.061423% 33679 688697 0.003368% 614393 687888 0.061439% 33687 869786 0.003369% 614676 888678 0.061468% 33689 689876 0.003369% 614768 786888 0.061477% 33691 798866 0.003369% 614780 887688 0.061478% 33691 897686 0.003369% 615071 886788 0.061507% 33692 697868 0.003369% 669116 798777 0.066912% 33692 796688 0.003369% 669354 787779 0.066935% 33697 689678 0.003370% 669880 977877 0.066988% 33697 698678 0.003370% 670069 977787 0.067007% 33699 896786 0.003370% 670090 789777 0.067009% 33699 898766 0.003370% 670202 877797 0.067020% 33699 986687 0.003370% 670286 777987 0.067029% 33703 679886 0.003370% 670291 777897 0.067029% 33703 988676 0.003370% 670328 778797 0.067033% 33705 689687 0.003370% 670375 897777 0.067037% 33709 869768 0.003371% 670412 797778 0.067041% 33712 976688 0.003371% 670512 877977 0.067051% 33714 688976 0.003371% 670527 978777 0.067053% 33714 698687 0.003371% 670567 877779 0.067057% 33719 688796 0.003372% 670628 977778 0.067063% 33719 887669 0.003372% 670639 779787 0.067064% 33721 697886 0.003372% 670708 797787 0.067071% 33722 788696 0.003372% 670725 777798 0.067073% 33724 668789 0.003372% 670727 778779 0.067073% 33724 896876 0.003372% 670753 987777 0.067075% 33725 976886 0.003373% 670793 787977 0.067079% 33728 769868 0.003373% 670794 787797 0.067079% 33728 867896 0.003373% 670846 777879 0.067085% 33729 689768 0.003373% 670893 879777 0.067089% 33733 689867 0.003373% 671189 777978 0.067119% 33738 967688 0.003374% 671210 779778 0.067121% 33739 668987 0.003374% 671471 797877 0.067147% 33743 768698 0.003374% 671619 779877 0.067162% 33744 976868 0.003374% 671713 778977 0.067171% 33748 889676 0.003375% 672103 777789 0.067210% 33752 786698 0.003375% 738331 789879 0.073833% 33752 879866 0.003375% 738763 878997 0.073876% 33753 978686 0.003375% 738787 889797 0.073879% 33753 986786 0.003375% 738807 987978 0.073881% 33754 886679 0.003375% 738909 779889 0.073891% 33755 897866 0.003375% 738966 798789 0.073897% 33756 696788 0.003376% 738972 788997 0.073897% 33757 796886 0.003376% 738993 879987 0.073899% 33758 688769 0.003376% 739004 889977 0.073900% 33759 988766 0.003376% 739111 787998 0.073911% 33767 886796 0.003377% 739138 778998 0.073914% 33769 887966 0.003377% 739140 978978 0.073914% 33771 686798 0.003377% 739259 978789 0.073926% 33771 886976 0.003377% 739261 998778 0.073926% 33773 886967 0.003377% 739352 789798 0.073935% 33773 898667 0.003377% 739360 898797 0.073936% 33774 676898 0.003377% 739370 789897 0.073937% 33775 968876 0.003378% 739387 978798 0.073939% 33779 769688 0.003378% 739435 897879 0.073943% 33780 667898 0.003378% 739462 799887 0.073946% 33782 678896 0.003378% 739509 998787 0.073951% 33782 687968 0.003378% 739534 987789 0.073953% 33786 876968 0.003379% 739551 978897 0.073955% 33792 986768 0.003379% 739733 788799 0.073973% 33802 867968 0.003380% 739768 877899 0.073977% 33802 966887 0.003380% 739813 988797 0.073981% 33803 688967 0.003380% 739834 879798 0.073983% 33803 697688 0.003380% 739853 887997 0.073985% 33809 866897 0.003381% 739878 897897 0.073988% 33817 968867 0.003382% 739883 798987 0.073988% 33819 687986 0.003382% 739889 878799 0.073989% 33827 789668 0.003383% 739904 889779 0.073990% 33829 879686 0.003383% 739923 897789 0.073992% 33831 678689 0.003383% 739926 797988 0.073993% 33832 876689 0.003383% 739959 799878 0.073996% 33833 766898 0.003383% 739959 899877 0.073996% 33835 869687 0.003383% 739963 979878 0.073996% 33839 686987 0.003384% 739981 877989 0.073998% 33839 866879 0.003384% 739985 798798 0.073998% 33844 867986 0.003384% 740016 797889 0.074002% 33846 678986 0.003385% 740025 898779 0.074002% 33846 866978 0.003385% 740035 978987 0.074003% 33852 876869 0.003385% 740084 798879 0.074008% 33852 876896 0.003385% 740094 989778 0.074009% 33857 987866 0.003386% 740112 898977 0.074011% 33867 698786 0.003387% 740125 787989 0.074012% 33868 766988 0.003387% 740227 989877 0.074023% 33875 698867 0.003387% 740245 878979 0.074025% 33882 798668 0.003388% 740246 979887 0.074025% 33882 897668 0.003388% 740251 879789 0.074025% 33882 968768 0.003388% 740263 778989 0.074026% 33884 866789 0.003388% 740355 997878 0.074036% 33892 698768 0.003389% 740363 789978 0.074036% 33893 668897 0.003389% 740391 988779 0.074039% 33894 687896 0.003389% 740397 897798 0.074040% 33895 968687 0.003390% 740443 797898 0.074044% 33897 669878 0.003390% 740446 977889 0.074045% 33906 687689 0.003391% 740462 799788 0.074046% 33906 966878 0.003391% 740475 998877 0.074048% 33923 788669 0.003392% 740560 789987 0.074056% 33933 678968 0.003393% 740587 798897 0.074059% 33936 886769 0.003394% 740589 887979 0.074059% 33940 789686 0.003394% 740591 977898 0.074059% 33956 696878 0.003396% 740666 899787 0.074067% 33957 678698 0.003396% 740698 897978 0.074070% 33966 786968 0.003397% 740755 989787 0.074075% 33973 876986 0.003397% 740757 899778 0.074076% 33985 679868 0.003399% 740757 987879 0.074076% 34009 986867 0.003401% 740787 788979 0.074079% 34011 667889 0.003401% 740834 997788 0.074083% 34014 978668 0.003401% 740877 879879 0.074088% 34027 898676 0.003403% 740884 787899 0.074088% 34030 688679 0.003403% 740898 798978 0.074090% 34037 788966 0.003404% 740958 978879 0.074096% 34038 878966 0.003404% 741037 977988 0.074104% 34076 896867 0.003408% 741128 779988 0.074113% 34084 766889 0.003408% 741162 887799 0.074116% 34123 868769 0.003412% 741390 997887 0.074139% 34175 868679 0.003417% 741427 879978 0.074143% 34199 768869 0.003420% 741431 979788 0.074143% 34223 967868 0.003422% 741479 879897 0.074148% 34263 678869 0.003426% 741492 877998 0.074149% 40179 799679 0.004018% 741576 778899 0.074158% 40275 979976 0.004028% 741613 987987 0.074161% 40298 997967 0.004030% 741622 779898 0.074162% 40318 697997 0.004032% 741633 897987 0.074163% 40382 997679 0.004038% 741813 987897 0.074181% 40444 977699 0.004044% 741991 789789 0.074199% 40449 967799 0.004045% 742191 987798 0.074219% 40451 999677 0.004045% 742868 988977 0.074287% 40458 979679 0.004046% 814697 998988 0.081470% 40465 979697 0.004046% 815067 889989 0.081507% 40467 797699 0.004047% 815851 989889 0.081585% 40469 969797 0.004047% 815876 899988 0.081588% 40491 979769 0.004049% 815944 888999 0.081594% 40496 697799 0.004050% 816311 989898 0.081631% 40537 769799 0.004054% 816598 889899 0.081660% 40543 976979 0.004054% 816782 899898 0.081678% 40544 767999 0.004054% 816966 899889 0.081697% 40553 977969 0.004055% 816992 898998 0.081699% 40576 679799 0.004058% 817141 998889 0.081714% 40580 996779 0.004058% 817153 988998 0.081715% 40580 997976 0.004058% 817270 889998 0.081727% 40596 997697 0.004060% 817573 998898 0.081757% 40610 969977 0.004061% 817587 988989 0.081759% 40621 799697 0.004062% 817673 898899 0.081767% 40623 699779 0.004062% 817771 898989 0.081777% 40627 799967 0.004063% 817783 989988 0.081778% 40630 979796 0.004063% 817879 999888 0.081788% 40638 797969 0.004064% 818699 988899 0.081870% 40663 999767 0.004066% 932888 877777 0.093289% 40666 779996 0.004067% 933538 777787 0.093354% 40678 977996 0.004068% 934211 787777 0.093421% 40680 769997 0.004068% 934895 777877 0.093490% 40691 799769 0.004069% 935406 778777 0.093541% 40696 797996 0.004070% 935925 777778 0.093592% 40704 999776 0.004070% 941447 888688 0.094145% 40716 997769 0.004072% 943068 688888 0.094307% 40721 996977 0.004072% 943281 888868 0.094328% 40727 796997 0.004073% 944099 888886 0.094410% 40740 679979 0.004074% 944485 886888 0.094449% 40743 699797 0.004074% 944844 868888 0.094484% 40746 799796 0.004075% 1027362 778798 0.102736% 40747 796799 0.004075% 1029010 778978 0.102901% 40756 969779 0.004076% 1029067 878779 0.102907% 40766 996797 0.004077% 1029083 797878 0.102908% 40777 979967 0.004078% 1029404 897787 0.102940% 40807 776999 0.004081% 1029437 787879 0.102944% 40826 967979 0.004083% 1029439 877879 0.102944% 40827 677999 0.004083% 1029441 889777 0.102944% 40834 796979 0.004083% 1029446 777988 0.102945% 40835 967997 0.004083% 1029600 797887 0.102960% 40858 779699 0.004086% 1029626 779788 0.102963% 40859 699977 0.004086% 1029789 777898 0.102979% 40911 976799 0.004091% 1029817 798877 0.102982% 40936 779969 0.004094% 1029853 877789 0.102985% 40973 769979 0.004097% 1029993 787789 0.102999% 40977 976997 0.004098% 1030071 877897 0.103007% 41012 997796 0.004101% 1030210 977788 0.103021% 41024 679997 0.004102% 1030225 898777 0.103023% 41038 697979 0.004104% 1030247 788797 0.103025% 41217 799976 0.004122% 1030364 978787 0.103036% 44365 999869 0.004437% 1030379 778789 0.103038% 44512 698999 0.004451% 1030402 878977 0.103040% 44585 689999 0.004458% 1030413 877987 0.103041% 44603 989969 0.004460% 1030463 987778 0.103046% 44638 969899 0.004464% 1030504 797788 0.103050% 44664 989996 0.004466% 1030518 877798 0.103052% 44720 986999 0.004472% 1030548 779878 0.103055% 44732 899699 0.004473% 1030571 788977 0.103057% 44736 998699 0.004474% 1030636 978877 0.103064% 44747 899996 0.004475% 1030718 887977 0.103072% 44767 899969 0.004477% 1030721 897778 0.103072% 44770 996989 0.004477% 1030724 789877 0.103072% 44783 699998 0.004478% 1030725 987787 0.103072% 44818 989699 0.004482% 1030756 788779 0.103076% 44819 996998 0.004482% 1030765 887797 0.103076% 44838 999698 0.004484% 1030781 987877 0.103078% 44915 969998 0.004491% 1030792 798778 0.103079% 44926 998996 0.004493% 1030800 897877 0.103080% 44929 996899 0.004493% 1030862 977887 0.103086% 44976 869999 0.004498% 1030880 879787 0.103088% 45014 896999 0.004501% 1030914 787798 0.103091% 45021 999689 0.004502% 1030943 879778 0.103094% 45034 969989 0.004503% 1031038 978778 0.103104% 45052 699989 0.004505% 1031140 887779 0.103114% 45089 999896 0.004509% 1031150 878797 0.103115% 45119 998969 0.004512% 1031193 787897 0.103119% 45127 999986 0.004513% 1031219 778879 0.103122% 45150 699899 0.004515% 1031380 787987 0.103138% 45212 968999 0.004521% 1031488 798787 0.103149% 45265 999968 0.004527% 1031562 789778 0.103156% 46455 776868 0.004646% 1031570 778897 0.103157% 46477 678768 0.004648% 1031593 787978 0.103159% 46521 678687 0.004652% 1031692 778987 0.103169% 46533 678786 0.004653% 1031771 777889 0.103177% 46547 676878 0.004655% 1031777 789787 0.103178% 46572 776886 0.004657% 1032203 988777 0.103220% 46581 686877 0.004658% 1032257 879877 0.103226% 46590 786687 0.004659% 1032307 877978 0.103231% 46594 688677 0.004659% 1032320 977878 0.103232% 46596 786768 0.004660% 1032365 779887 0.103236% 46618 867786 0.004662% 1134380 789988 0.113438% 46644 886677 0.004664% 1135935 898798 0.113594% 46645 866778 0.004665% 1136157 997888 0.113616% 46713 667887 0.004671% 1136853 888997 0.113685% 46728 686787 0.004673% 1136886 899788 0.113689% 46756 876786 0.004676% 1136900 889879 0.113690% 46762 787686 0.004676% 1137092 898978 0.113709% 46773 878766 0.004677% 1137236 979888 0.113724% 46779 778668 0.004678% 1137284 987898 0.113728% 46781 767886 0.004678% 1137364 788899 0.113736% 46788 778686 0.004679% 1137398 798889 0.113740% 46798 687786 0.004680% 1137424 889978 0.113742% 46800 886776 0.004680% 1137439 988987 0.113744% 46826 787668 0.004683% 1137454 897898 0.113745% 46830 776688 0.004683% 1137569 888979 0.113757% 46834 778866 0.004683% 1137573 899878 0.113757% 46858 877668 0.004686% 1137576 978898 0.113758% 46864 867678 0.004686% 1137592 887989 0.113759% 46878 676788 0.004688% 1137608 988789 0.113761% 46885 887766 0.004688% 1137634 878998 0.113763% 46908 767688 0.004691% 1137678 788989 0.113768% 46912 878676 0.004691% 1137701 998788 0.113770% 46914 886767 0.004691% 1137721 878899 0.113772% 46917 866877 0.004692% 1137728 798898 0.113773% 46921 678678 0.004692% 1137786 978889 0.113779% 46929 768876 0.004693% 1137805 987988 0.113780% 46943 768867 0.004694% 1137840 788998 0.113784% 46956 678876 0.004696% 1137886 998887 0.113789% 46960 867768 0.004696% 1137940 898987 0.113794% 46972 786678 0.004697% 1138065 898897 0.113806% 46973 878667 0.004697% 1138069 988879 0.113807% 46975 687867 0.004697% 1138072 898879 0.113807% 46976 788766 0.004698% 1138107 879889 0.113811% 46977 676887 0.004698% 1138157 898789 0.113816% 46981 786867 0.004698% 1138176 998878 0.113818% 46982 687768 0.004698% 1138234 899887 0.113823% 46989 688767 0.004699% 1138242 889798 0.113824% 46991 766887 0.004699% 1138258 879988 0.113826% 46991 876678 0.004699% 1138262 879898 0.113826% 46993 787866 0.004699% 1138431 978988 0.113843% 46995 876867 0.004699% 1138467 798988 0.113847% 46996 876876 0.004700% 1138538 897889 0.113854% 46999 887676 0.004700% 1138565 889789 0.113856% 47017 667788 0.004702% 1138575 987889 0.113858% 47025 667878 0.004703% 1138703 878989 0.113870% 47032 768786 0.004703% 1138772 888799 0.113877% 47033 766788 0.004703% 1138774 897988 0.113877% 47043 766878 0.004704% 1138785 799888 0.113879% 47047 768768 0.004705% 1138799 889987 0.113880% 47052 877866 0.004705% 1138829 988798 0.113883% 47067 677886 0.004707% 1138858 887998 0.113886% 47077 866787 0.004708% 1139046 789898 0.113905% 47080 687678 0.004708% 1139174 889897 0.113917% 47100 868767 0.004710% 1139329 988978 0.113933% 47105 668877 0.004710% 1139528 989788 0.113953% 47110 868677 0.004711% 1139542 789889 0.113954% 47111 876687 0.004711% 1139714 988897 0.113971% 47119 687687 0.004712% 1139714 989887 0.113971% 47121 688776 0.004712% 1140075 887899 0.114007% 47123 867876 0.004712% 1141204 989878 0.114120% 47133 678867 0.004713% 1434502 878777 0.143450% 47144 677868 0.004714% 1434803 777887 0.143480% 47163 788676 0.004716% 1435038 777878 0.143504% 47166 668778 0.004717% 1435315 877877 0.143532% 47174 868776 0.004717% 1435703 777788 0.143570% 47176 867867 0.004718% 1435866 787778 0.143587% 47180 786876 0.004718% 1435906 877778 0.143591% 47194 768687 0.004719% 1435990 788777 0.143599% 47196 867687 0.004720% 1436142 877787 0.143614% 47197 677688 0.004720% 1436488 787787 0.143649% 47205 788667 0.004720% 1436690 887777 0.143669% 47205 877686 0.004720% 1436881 787877 0.143688% 47228 876768 0.004723% 1436906 778778 0.143691% 47241 767868 0.004724% 1437174 778877 0.143717% 47297 887667 0.004730% 1437901 778787 0.143790% 47361 668787 0.004736% 1582530 787988 0.158253% 47391 786786 0.004739% 1582563 878978 0.158256% 47459 768678 0.004746% 1582695 778898 0.158270% 47507 686778 0.004751% 1583074 887798 0.158307% 47508 687876 0.004751% 1583093 887978 0.158309% 51346 889866 0.005135% 1583154 887987 0.158315% 51349 886968 0.005135% 1583262 978788 0.158326% 51450 968688 0.005145% 1583321 888797 0.158332% 51476 888696 0.005148% 1583327 898877 0.158333% 51515 686889 0.005151% 1583424 887897 0.158342% 51520 986886 0.005152% 1583525 879887 0.158352% 51539 896868 0.005154% 1583594 778889 0.158359% 51540 898668 0.005154% 1583835 789878 0.158384% 51597 986868 0.005160% 1583870 877988 0.158387% 51598 688896 0.005160% 1583932 789887 0.158393% 51609 668988 0.005161% 1584005 888977 0.158400% 51609 886869 0.005161% 1584083 888779 0.158408% 51624 886698 0.005162% 1584305 898787 0.158431% 51624 889686 0.005162% 1584317 797888 0.158432% 51650 688968 0.005165% 1584359 788789 0.158436% 51664 688869 0.005166% 1584459 788798 0.158446% 51664 968886 0.005166% 1584473 878879 0.158447% 51678 868896 0.005168% 1584489 978887 0.158449% 51679 988866 0.005168% 1584503 778988 0.158450% 51687 689886 0.005169% 1584740 788987 0.158474% 51689 889668 0.005169% 1584744 987878 0.158474% 51723 868986 0.005172% 1584846 988778 0.158485% 51726 869688 0.005173% 1584879 878987 0.158488% 51731 866988 0.005173% 1584978 798878 0.158498% 51746 868689 0.005175% 1584981 987788 0.158498% 51746 886986 0.005175% 1585026 798887 0.158503% 51765 866898 0.005177% 1585028 878789 0.158503% 51769 688698 0.005177% 1585055 977888 0.158505% 51784 886896 0.005178% 1585056 779888 0.158506% 51786 868869 0.005179% 1585082 889787 0.158508% 51792 888669 0.005179% 1585111 787889 0.158511% 51794 868968 0.005179% 1585272 897878 0.158527% 51810 896688 0.005181% 1585318 978878 0.158532% 51842 868698 0.005184% 1585360 789788 0.158536% 51844 888966 0.005184% 1585407 788978 0.158541% 51851 668898 0.005185% 1585440 879788 0.158544% 51852 698688 0.005185% 1585499 897887 0.158550% 51865 896886 0.005187% 1585516 877889 0.158552% 51876 988686 0.005188% 1585756 879878 0.158576% 51901 688689 0.005190% 1585790 887879 0.158579% 51914 968868 0.005191% 1585799 887789 0.158580% 51941 869886 0.005194% 1585816 897788 0.158582% 51953 669888 0.005195% 1585878 898778 0.158588% 51958 866889 0.005196% 1585943 988877 0.158594% 51996 689868 0.005200% 1586013 788897 0.158601% 52000 698868 0.005200% 1586114 878897 0.158611% 52001 698886 0.005200% 1586165 889778 0.158616% 52002 668889 0.005200% 1586197 788879 0.158620% 52022 686898 0.005202% 1586261 878798 0.158626% 52043 988668 0.005204% 1586319 798788 0.158632% 52073 898866 0.005207% 1586389 889877 0.158639% 52075 696888 0.005207% 1586467 988787 0.158647% 52117 689688 0.005212% 1586487 987887 0.158649% 52139 688986 0.005214% 1586573 877898 0.158657% 52147 869868 0.005215% 1589048 787898 0.158905% 52199 966888 0.005220% 1746621 888899 0.174662% 52226 686988 0.005223% 1746919 889988 0.174692% 52271 986688 0.005227% 1747481 988889 0.174748% 52302 886689 0.005230% 1747545 998888 0.174755% 52377 898686 0.005238% 1747837 898898 0.174784% 56133 799776 0.005613% 1748801 988988 0.174880% 56210 767979 0.005621% 1748933 888998 0.174893% 56258 977769 0.005626% 1749303 889889 0.174930% 56292 977679 0.005629% 1749393 889898 0.174939% 56317 677979 0.005632% 1749773 898889 0.174977% 56338 679797 0.005634% 1750095 898988 0.175009% 56374 796977 0.005637% 1750213 899888 0.175021% 56388 779697 0.005639% 1750281 988898 0.175028% 56392 777996 0.005639% 1750777 989888 0.175078% 56393 979776 0.005639% 1751355 888989 0.175135% 56417 769977 0.005642% 2202662 878787 0.220266% 56425 799677 0.005642% 2205000 887778 0.220500% 56441 797769 0.005644% 2205236 778878 0.220524% 56449 997776 0.005645% 2205472 877788 0.220547% 56458 767799 0.005646% 2205620 788778 0.220562% 56459 697797 0.005646% 2205622 878877 0.220562% 56479 767997 0.005648% 2205868 787788 0.220587% 56494 799767 0.005649% 2206444 878778 0.220644% 56508 777699 0.005651% 2206596 888777 0.220660% 56539 776799 0.005654% 2206667 788787 0.220667% 56550 977796 0.005655% 2206787 787878 0.220679% 56558 679779 0.005656% 2207088 877878 0.220709% 56560 967797 0.005656% 2207161 778887 0.220716% 56567 977976 0.005657% 2207477 787887 0.220748% 56574 779679 0.005657% 2207857 777888 0.220786% 56589 997767 0.005659% 2207954 788877 0.220795% 56602 776997 0.005660% 2208551 887787 0.220855% 56629 797967 0.005663% 2208672 877887 0.220867% 56655 996777 0.005665% 2208805 778788 0.220880% 56669 777969 0.005667% 2209847 887877 0.220985% 56670 979677 0.005667% 2433981 798888 0.243398% 56689 976779 0.005669% 2434179 887988 0.243418% 56698 796797 0.005670% 2434310 788988 0.243431% 56702 779796 0.005670% 2434430 789888 0.243443% 56710 797796 0.005671% 2434553 988788 0.243455% 56713 776979 0.005671% 2434626 879888 0.243463% 56731 677799 0.005673% 2434734 987888 0.243473% 56732 976797 0.005673% 2435011 897888 0.243501% 56765 697779 0.005677% 2435041 889788 0.243504% 56769 769779 0.005677% 2435061 888879 0.243506% 56788 796779 0.005679% 2435475 888978 0.243548% 56793 977697 0.005679% 2435757 889887 0.243576% 56799 969777 0.005680% 2435865 888987 0.243587% 56819 967977 0.005682% 2435883 878988 0.243588% 56823 677997 0.005682% 2436059 788898 0.243606% 56844 779967 0.005684% 2436424 988878 0.243642% 56869 797697 0.005687% 2436540 887898 0.243654% 56872 976977 0.005687% 2436738 888897 0.243674% 56882 769797 0.005688% 2436739 887889 0.243674% 56900 679977 0.005690% 2436826 888789 0.243683% 56919 997677 0.005692% 2436868 978888 0.243687% 56942 797976 0.005694% 2437150 898887 0.243715% 56970 779769 0.005697% 2437206 898788 0.243721% 56974 699777 0.005697% 2437307 878898 0.243731% 56982 797679 0.005698% 2437311 788889 0.243731% 57034 697977 0.005703% 2437522 878889 0.243752% 57077 977967 0.005708% 2438549 888798 0.243855% 57091 779976 0.005709% 2438759 988887 0.243876% 57167 967779 0.005717% 2439293 898878 0.243929% 57218 979767 0.005722% 2441002 889878 0.244100% 61902 999786 0.006190% 3389992 888778 0.338999% 62007 679989 0.006201% 3390496 888787 0.339050% 62022 989976 0.006202% 3390865 887887 0.339086% 62119 699897 0.006212% 3391011 788788 0.339101% 62119 769899 0.006212% 3391580 887788 0.339158% 62161 769989 0.006216% 3391915 788878 0.339192% 62185 976989 0.006219% 3392208 878887 0.339221% 62191 989967 0.006219% 3392645 787888 0.339265% 62205 989679 0.006221% 3392670 888877 0.339267% 62229 979689 0.006223% 3393211 788887 0.339321% 62249 979896 0.006225% 3393740 878878 0.339374% 62254 698979 0.006225% 3393772 878788 0.339377% 62258 799968 0.006226% 3393777 887878 0.339378% 62267 979869 0.006227% 3393826 778888 0.339383% 62275 998796 0.006227% 3394406 877888 0.339441% 62302 999678 0.006230% 3741614 898888 0.374161% 62312 969897 0.006231% 3741643 888988 0.374164% 62325 899796 0.006232% 3742322 888889 0.374232% 62330 799986 0.006233% 3742558 889888 0.374256% 62333 899967 0.006233% 3745425 888898 0.374543% 62343 879996 0.006234% 3747578 988888 0.374758% 62344 699879 0.006234% 5210630 888887 0.521063% 62344 899976 0.006234% 5213124 788888 0.521312% 62361 899679 0.006236% 5213837 888788 0.521384% 62364 798996 0.006236% 5214520 888878 0.521452% 62373 697899 0.006237% 5215113 878888 0.521511% 62375 999687 0.006237% 5218324 887888 0.521832% 62382 996897 0.006238% 8018967 888888 0.801897% Edited June 30, 2018 by Lost in Translation 1 Share this post Link to post Share on other sites
Harmen Posted June 30, 2018 Does this correspond to the tables that Edward Hacker gives in his I Ching Handbook? If you don't have this book I can scan the pages if you want. I remember Wandelaar referred to these pages somewhere else with a link to Amazon. Share this post Link to post Share on other sites
OldDog Posted June 30, 2018 Aside @voidisyinyang: I took the time to read the entire paper from which you cited. I found it very interesting. The authors have the ability speak to very complex ideas in a way that allows those without much background in science at this level (me) to derive a level of understanding. Particularlly, the discussion on Randomness and Focusing, and accompanying illustration, was quite insightful. I have bookmarked the paper as I will definitely want to reread once some of these ideas have jelled. In general, would highly recommend the full paper to anyone who is interested in why the scientific method is often inadequate to explain some phenomena. Thanks for the posting. 1 Share this post Link to post Share on other sites
wandelaar Posted June 30, 2018 @ OldDog The posts of voidisyinyang are irrelevant to the experiment that is proposed here. We want to investigate whether or not the probabilities for the different hexagrams in case the program is used for serious consultations of the I Ching deviate from those probabilities in the case of pure chance (that is: when nothing is asked of the I Ching program). The process of interpretation of the hexagrams itself is not further investigated because we don't need to for estimating the probabilities. We concentrate on the probabilities only. In my openingspost I wrote: Quote The purpose of this topic is exploring ways to test whether or not working with the I Ching shows patterns in the found hexagrams that are impossible to explain when the hexagrams that turn up are purely random. This topic is expressly not about belief or disbelief or anecdotal evidence! So please don't spam this topic to death as happened with previous topics of mine. If you are not interested in exploring systematic ways to test the I Ching than please leave us alone. I hope voidisyinyang will respect that. 1 Share this post Link to post Share on other sites
voidisyinyang Posted June 30, 2018 1 hour ago, OldDog said: Aside @voidisyinyang: I took the time to read the entire paper from which you cited. I found it very interesting. The authors have the ability speak to very complex ideas in a way that allows those without much background in science at this level (me) to derive a level of understanding. Particularlly, the discussion on Randomness and Focusing, and accompanying illustration, was quite insightful. I have bookmarked the paper as I will definitely want to reread once some of these ideas have jelled. In general, would highly recommend the full paper to anyone who is interested in why the scientific method is often inadequate to explain some phenomena. Thanks for the posting. I'm very glad you read it and found it very interesting! I have corresponded with one of the authors - Nobel Physicist Brian Josephson. Yes - he focuses on thinking and analysis rather than just "computations" that don't analyze the concepts involved. Just so you know, Nobel Physicist Brian Josephson was even "disinvited" from a physics conference because the young and "up and coming" physicists were afraid they would not get hired for jobs if they went to a conference that he spoke at!! haha. So free thinking in science is very much censored - but since you actually read his paper instead of just self-censoring the information (as many do) - you can see he is engaging with insightful analysis that is very important. 1 Share this post Link to post Share on other sites
OldDog Posted June 30, 2018 19 minutes ago, voidisyinyang said: So free thinking in science is very much censored True enough. I realized this long ago, for many reasons I will not go into. It seems to be a byproduct of the scientific method; that is, in process of trying to be thorough and complete (rigorous?) in the course of any investigation, arbitrarty boundaries and conditions are set. These then tend to be forgotten in the wake of analysis leading to some conclusive statement. The conclusions often tend to want to become generalizations with universal applicability. Anyone challenging the process - or even pointing out the original constraints - draws general criticism at a minimum. No disrespect intended to anyone. 2 Share this post Link to post Share on other sites
voidisyinyang Posted June 30, 2018 4 minutes ago, OldDog said: True enough. I realized this long ago, for many reasons I will not go into. It seems to be a byproduct of the scientific method; that is, in process of trying to be thorough and complete (rigorous?) in the course of any investigation, arbitrarty boundaries and conditions are set. These then tend to be forgotten in the wake of analysis leading to some conclusive statement. The conclusions often tend to want to become generalizations with universal applicability. Anyone challenging the process - or even pointing out the original constraints - draws general criticism at a minimum. No disrespect intended to anyone. Yes Nobel Physicist Brian Josephson told me he does practice qigong with another colleague at Cambridge - and actually I just blogged on his recent talk in China - where he espouses a view of science based on Daoist philosophy. http://elixirfield.blogspot.com/2018/06/nobel-physicist-brian-josephson-figures.html Share this post Link to post Share on other sites
wandelaar Posted June 30, 2018 Aaarrrggghhh! Not again. It was such a nice topic, with sensible posts and concrete results. Who is going to stop this spamming pseudoscientist? 1 Share this post Link to post Share on other sites
wandelaar Posted June 30, 2018 (edited) 9 hours ago, Harmen said: Does this correspond to the tables that Edward Hacker gives in his I Ching Handbook? If you don't have this book I can scan the pages if you want. I remember Wandelaar referred to these pages somewhere else with a link to Amazon. The probabilities for the coin method can be objectively calculated, but for the yarrow stalk method there is a personal element involved. People will not all divide the heap of stalk in two in the same manner. Some will be rather nonchalant, others will try to get close to a division in half (approximately the same number of stalk left and right). So the probabilities for how a heap of stalks will be divided in two will not be the same for all users of the I Ching. Thus there might be a difference in the way Hacker and Lost in Translation solve this problem, and that would lead to some differences in the found probabilities for the hexagrams. Further the number of iterations might be to small for a precise estimation of the probabilities of the least likely hexagrams. Edited June 30, 2018 by wandelaar Share this post Link to post Share on other sites
OldDog Posted June 30, 2018 56 minutes ago, wandelaar said: Aaarrrggghhh! I would not call it spamming. I would call it free and open discussion. It's not uncommon for posts to diverge from the initial topic. Still, it's your thread. If you want so constrained, I will bow out. Adios! 1 Share this post Link to post Share on other sites
wandelaar Posted June 30, 2018 Just now, OldDog said: I would not call it spamming. I would call it free and open discussion. It's not uncommon for posts to diverge from the initial topic. Still, it's your thread. If you want so constrained, I will bow out. Adios! It is spamming, because his posts are completely irrelevant. And I explained why. And this is happening not once but time and again in all kinds of topics. If you want to have your free and open discussion with voidisyinyang, I wish you success. But please start another topic for that. Good luck. Share this post Link to post Share on other sites
wandelaar Posted July 1, 2018 On 30-6-2018 at 8:44 AM, Harmen said: Does this correspond to the tables that Edward Hacker gives in his I Ching Handbook? If you don't have this book I can scan the pages if you want. I remember Wandelaar referred to these pages somewhere else with a link to Amazon. I took a look at the calculations of Hacker (chapter 9) just now but they seem to based on an uncommon variant of the yarrow stalk method. Is that so, and why is that? What do you think about it? Share this post Link to post Share on other sites
Harmen Posted July 1, 2018 (edited) 3 hours ago, wandelaar said: I took a look at the calculations of Hacker (chapter 9) just now but they seem to based on an uncommon variant of the yarrow stalk method. Is that so, and why is that? What do you think about it? In Chapter 10 Hacker gives two versions for the yarrow stalk method. He says, "Yarrow-Stalk Methods. Versions A and B are both based on Chapter 9 of the Great Treatise (Ta Chuan), one of the Ten Wings of the I Ching. These two versions are mathematically equivalent; use of one over the other is a matter of preference alone. 1A. Yarrow-Stalk Method: Version A. This method is described in Greg Whincup's book and in a paper by Koon-Loon Leung. Whincup says that it is a reinterpretation of the traditional method described in other translations ([A] Whincup, p. 227)- Leung says that this method is "the way practised in ancient China" (Leung, p. 244)." Whincup = Rediscovering the I Ching. Leung = "An Algebraic Truth in Divination." Journal of Chinese Philosophy 9:2 (June 1982): 243-58. At version B he says, "This method was also explained in Chapter 9." This is also the method that Wilhelm describes. I don't really see why you call it 'an uncommon variant.' What differences do you see with the traditional method? AN ALGEBRAIC TRUTH IN DIVINATION - Leung.pdf Edited July 1, 2018 by Harmen 1 2 Share this post Link to post Share on other sites
voidisyinyang Posted July 1, 2018 On 6/30/2018 at 11:39 AM, OldDog said: I would not call it spamming. I would call it free and open discussion. It's not uncommon for posts to diverge from the initial topic. Still, it's your thread. If you want so constrained, I will bow out. Adios! Yes the OP just doesn't understand quantum physics in regards to nonlocality. Just because something appears to be random, does not mean it is actually random! https://www.researchgate.net/publication/2195024_Quantum_Cooperation_of_Two_Insects Quote the random moves of both individuals will be quite coordinated. This is REAL science - quantum nonlocality. haha. So the OP wants to test against randomness as the foundation of reality - but just because some appears to be random mathematically does not MEAN it is random in reality. Share this post Link to post Share on other sites
