The Past and Future of CGOL

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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bubblegum
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The Past and Future of CGOL

Post by bubblegum » September 25th, 2020, 1:59 pm

dvgrn, in the Cordership Discussion Thread, wrote:
September 25th, 2020, 11:09 am
MathAndCode wrote:
September 24th, 2020, 11:04 pm
Of course, chances are a timeline has already been made, but has one been made recently, and did it focus on patterns instead of people?
I was working on one last year, in the form of a LifeViewer animation. It really ought to be carried on through into 2020, but it's kind of a huge job. I wasn't able to keep it going when I hit the mid-1990s, the label editing and animation scripting got too difficult and time-consuming. The idea was to have a "narrator glider" flying past patterns in their order of discovery.

Version as of 17 February 2019, with just a few small patches:

Code: Select all

#C [[ STOP 12801 X 1806 Y 1960 Z 4 GPS 5 PAUSE 2 THEME 0 AUTOSTART ]]
#C [[ POPUPWIDTH 800 ]]
#C [[ COLOR LABEL Cyan ]]
#C [ T 1 GPS 60 STEP 50 ]]
#C [ T 349 ]]
#C [ PAUSE 0 X 1724 Y 1825 GPS 20 ]]
#C [[ LABELT 300 450 9 LABEL 4642 4537 5 "block" ]]
#C [[ LABELT 325 475 9 LABEL 4649 4530 5 "tub" ]]
#C [[ LABELT 400 550 9 LABEL 4641 4511 5 "boat" ]]
#C [[ LABELT 425 575 9 LABEL 4617 4525 5 "ship" ]]
#C [[ LABELT 450 600 9 LABEL 4597 4521 5 "beehive" ]]
#C [[ LABELT 475 625 9 LABEL 4610 4509 5 "aircraft carrier" ]]
#C [[ LABELT 410 560 9 LABEL 4634 4504 5 "eater" ]]
#C [[ LABELT 420 570 9 LABEL 4624 4503 5 "python" ]]
#C [[ LABELT 490 640 9 LABEL 4597 4515 5 "snake" ]]
#C [[ LABELT 500 650 9 LABEL 4628 4493 5 "loaf" ]]
#C [[ LABELT 510 660 9 LABEL 4615 4492 5 "long boat" ]]
#C [[ LABELT 480 670 9 LABEL 4603 4500 5 "barge" ]]
#C [[ LABELT 520 660 9 LABEL 4580 4509 5 "shillelagh" ]]
#C [[ LABELT 530 670 9 LABEL 4586 4497 5 "mango" ]]
#C [[ LABELT 580 730 9 LABEL 4575 4480 5 "pond" ]]
#C [[ LABELT 570 720 9 LABEL 4594 4470 5 "hat" ]]
#C [[ LABELT 600 750 9 LABEL 4576 4470 5 "canoe" ]]
#C [[ LABELT 660 810 9 LABEL 4586 4455 5 "eater2" ]]
#C [[ LABELT 800 950 9 LABEL 4567 4417 5 "eater3" ]]
#C [[ LABELT 850 1000 9 LABEL 4535 4475 5 "eater4" ]]
#C [[ COLOR LABEL Red LABELALPHA 0.8 LABELSIZE 24 ]]
#C [[ LABELT 900 1100 9 LABEL 4492 4471 5 "Gosper\nglider\ngun\n1970" ]]
#C [[ LABELT 1025 1175 9 LABEL 4544 4416 6 "pinwheel\n1970" ]]
#C [[ LABELT 1050 1200 9 LABEL 4548 4407 6 "Hertz oscillator\n1970" ]]
#C [[ LABELT 1075 1225 9 LABEL 4555 4399 6 "figure eight\n1970" ]]
#C [[ LABELT 950 1150 9 LABEL 4558 2426 7 "clock\n1970" ]]
#C [[ COLOR LABEL Purple LABELALPHA 1 ]]
#C [[ LABELT 1025 1225 9 LABEL 4519 4428 7 "spiral\n1971" ]]
#C [[ LABELT 1075 1225 9 LABEL 4504 4444 6 "almosymmetric\n1971" ]]
#C [[ LABELT 1050 1200 9 LABEL 4546 4372 6 "octagon\n1971" ]]
#C [[ LABELT 1075 1215 9 LABEL 4457 4422 6 "quad\n1971" ]]
#C [[ LABELT 1100 1250 9 LABEL 4503 4404 6 "cuphook\n1971" ]]
#C [[ COLOR LABEL Blue LABELALPHA 1 ]]
#C [[ LABELT 1050 1200 9 LABEL 4493 4438 7 "eater bound pond\n1972" ]]
#C [[ COLOR LABEL Green LABELALPHA 1 ]]
#C [[ LABELT 1125 1275 9 LABEL 4534 4400 6 "siesta\n1973" ]]
#C [[ LABELT 1137 1287 9 LABEL 4515 4396 6 "mazing\n1973" ]]
#C [[ LABELT 1100 1350 9 LABEL 4494 4417 6 "p54 shuttle\n1973" ]]
#C [[ LABELT 1150 1400 9 LABEL 4515 4396 6 "new shuttle\n1973" ]]
#C [[ COLOR LABEL White LABELALPHA 1 ]]
#C [[ LABELT 1125 1275 9 LABEL 4493 4372 7 "extremely\nimpressive\n1976" ]]
#C [[ LABELT 1150 1400 9 LABEL 4487 4398 7 "Buckingham's p13\n1976" ]]
#C [[ T 100 X 1817 Y 1959 Z 16 GPS 10 ]]
#C [[ T 120 X 1791 Y 1928 Z 10 GPS 20 ]]
#C [[ T 200 X 1737 Y 1900 Z 6 GPS 30 ]]
#C [[ T 300 X 1724 Y 1825 Z 4 GPS 40 THEME 1 ]]
#C [[ T 350 GPS 50 STEP 1 ]]
#C [[ T 400 GPS 60 ]]
#C [[ T 775 X 1707 Y 1825 Z 4 GPS 45 ]]
#C [[ T 850 X 1650 Y 1790 Z 9 GPS 50 THEME 2 ]]
#C [[ T 1000 Z 7 ]]
#C [[ T 1600 X 1460 Y 1635 Z 4 ]]
#C [[ T 2100 THEME 3 X 1450 Y 1650 ]]
#C [[ T 2500 X 1387 Y 1500 Z 4 ]]
#C [[ T 3000 X 1200 Y 1300 Z 3 THEME 4 ]]
#C [[ T 4000 X 1167 Y 1225 Z 2 ]]
#C [[ T 4400 X 917 Y 1075 Z 6 THEME 7 ]]
#C [[ T 4500 X 825 Y 1060 Z 3 ]]
#C [[ T 4700 X 810 Y 1050 Z 2 ]]
#C [[ T 5100 X 790 Y 1044 Z 3 ]]
#C [[ T 5185 Z 6 ]]
#C [[ T 5450 ]]
#C [[ T 5700 X 700 Y 900 Z 3 ]]
#C [[ T 6000 Z 4 ]]
#C [[ T 9000 X -100 Y 125 Z 5 THEME 2 STEP 5 ]]  (2010)
#C [[ T 12800 X -975 Y -725 Z 3 ]]  (2020)
#C [[ STOP 12801 ]]
x = 5810, y = 5312, rule = LifeHistory
A3.A2.3A2.A3.A$2A2.A.A3.A.A3.A$A.A.A.A3.A.A.A.A$A2.2A.A3.A.2A.2A$A3.A
2.3A2.A3.A1533$2037.B$2036.A.A$2036.B2A$2037.A13$2053.B$2052.A.A$
2052.B2A$2053.A19$5158.A$5156.2A$5157.2A2$2086.AB$2062.B22.B.2A$2061.
A.A22.2A$2028.B.A30.B2A$2028.ABA31.A$2029.2A3$5160.A$5160.A.A$5160.2A
2$5126.A$5125.A$5125.3A22.A$5149.A$2077.BA3070.3A$2078.BA$2077.3A12.B
$2091.A.A$2091.B2A$2012.BA78.A$2013.BA$2012.3A$5130.A$5128.2A$5129.2A
3$2063.B$2062.A.A$2062.B2A3053.A.A$2063.A3054.2A$5119.A2$2082.B.A$
2082.ABA$2028.BA53.2A$2029.BA$2028.3A$5095.A$5094.A$5094.3A2$2078.BA$
2079.BA$2078.3A6$5099.A$5097.2A$5098.2A$5091.A.A$2064.BA3025.2A$2065.
BA3025.A$2064.3A$2083.B.A$2083.ABA$2084.2A6$5070.A$5068.2A$5069.2A$
2054.B$2004.AB47.A.A24.AB$2003.B.2A46.B2A23.B.2A$2004.2A48.A25.2A6$
5072.A$5072.A.A$5038.A33.2A$5037.A$5037.3A24.A$5063.A$2042.B26.BA
2992.3A$2041.A.A26.BA$2020.AB19.B2A25.3A14.B$2019.B.2A19.A42.A.A$
2020.2A63.B2A$2086.A3$5042.A$5040.2A$5041.2A$5010.A$5009.A$5009.3A20.
A.A$5032.2A$2057.BA2974.A$2058.BA$2057.3A14.B.A$2074.ABA$2075.2A4$
5014.A$5012.2A$2041.BA2970.2A$2042.BA2962.A.A$2041.3A2962.2A$5007.A2$
2062.B.A$2062.ABA$2063.2A4$4985.A$4983.2A$4984.2A2$2057.AB$2056.B.2A$
2057.2A6$4987.A$4987.A.A$4981.A5.2A$4980.A$4980.3A2$2063.B$2062.A.A$
2062.B2A$2063.A142$1916.2A.A6.2A.A6.2A.A6.2A.A$1916.A.2A6.A.2A6.A.2A
6.A.2A$1920.2A2.2A4.2A8.2A2.2A4.2A$1920.A3.A5.A9.A3.A5.A$1921.A3.A5.A
9.A3.A5.A$1920.2A2.2A4.2A8.2A2.2A4.2A$1916.2A.A4.A5.A5.2A.A4.A5.A$
1916.A.2A5.A5.A4.A.2A5.A5.A$1914.2A8.2A4.2A2.2A8.2A4.2A$1914.A9.A5.A
3.A9.A5.A$1915.A9.A5.A3.A9.A5.A$1914.2A8.2A4.2A2.2A8.2A4.2A$1916.2A.A
6.2A.A6.2A.A6.2A.A$1916.A.2A6.A.2A6.A.2A6.A.2A430$2367.2A.A6.2A.A4.2A
4.A.2A$2367.A.2A6.A.2A5.A4.2A.A$2371.2A2.2A4.2A2.A3.2A$2371.A3.A5.A3.
2A3.A$2372.A3.A5.A6.A$2371.2A2.2A4.2A2.2A2.2A$2367.2A.A4.A5.A4.A4.A.
2A$2367.A.2A5.A5.A2.A5.2A.A$2365.2A8.2A4.2A2.2A8.2A$2365.A9.A5.A14.A$
2366.A9.A5.A2.2A8.A$2365.2A8.2A4.2A3.A8.2A$2367.2A.A6.2A.A4.A5.A.2A$
2367.A.2A6.A.2A4.2A4.2A.A430$2818.2A.A6.2A.A4.2A4.2A.A$2818.A.2A6.A.
2A5.A4.A.2A$2822.2A2.2A4.2A2.A3.2A4.2A$2822.A3.A5.A3.2A2.A5.A$2823.A
3.A5.A7.A5.A$2822.2A2.2A4.2A2.2A2.2A4.2A$2818.2A.A4.A5.A4.A2.A5.A$
2818.A.2A5.A5.A2.A4.A5.A$2816.2A8.2A4.2A2.2A2.2A4.2A$2816.A9.A5.A7.A
5.A$2817.A9.A5.A2.2A3.A5.A$2816.2A8.2A4.2A3.A2.2A4.2A$2818.2A.A6.2A.A
4.A5.2A.A$2818.A.2A6.A.2A4.2A4.A.2A127$4062.2A$4062.2A4$4070.2A3.3B$
4069.B3A6B$4069.4BA6B$4054.2A13.4B2A2B3AB$4054.2A11.3A3B3A3B3A$4066.B
A3BABA4B3A$4067.5A7B2A2.A$4054.B13.3BA2B3.2BA.3AB$4050.6B13.2B9.5AB$
4048.8B24.2BABA2B$4047.11B22.4BA3B$4046.2A6B2AB2A.2B19.7B$4046.2A4BAB
A3BA4B18.2BA4B$4047.3B.BAB2A2B.4B18.2B2A2B$4050.5B4.5BA15.2B4AB$4050.
2B7.5B2AB13.6BA$4059.5BABA13.3A3B2A$4059.9B11.2BA4B2A$4061.4BABA11.2B
ABA3B$4062.2B.BAB12.BABA$4066.AB13.3A$4082.B2$4047.BAB.4B$4046.BA8B$
4046.A10BA$4043.2A11B3A12.2A$4042.3A6BA3BA2BA5.2A4.A2.A$4041.A7B3A2B
2A2B5.3A5.2A21.2A3.3B$4042.9A4BA2B3.2BA2BA26.B3A6B$4043.7AB3.2BA3.BA
3BA27.4BA6B$4045.3A12.3ABA2B26.4B2A2B3AB$4060.B2A4B24.3A3B3A3B3A$
4061.3A4B22.BA3BABA4B3A$4061.B2A4B23.5A7B2A$4061.2BA4B24.3BA2B3.3BA$
4060.B2A4B26.2B9.3A$4060.8B37.2A$4060.8B8.A$4059.9B7.A.A$4058.9B5.B3.
A$4059.5BA6.3A$4060.3B2A7.B$4060.BA2BA$4060.5B32.2A$4061.ABA33.2A$
4062.A6$4070.2A3.3B11.2A$4069.B3A6B10.2A$4069.4BA6B$4069.4B2A2B3AB$
4067.3A3B3A3B3A$4066.BA3BABA4B3A$4067.5A7B2A$4068.3BA2B3.3B$4069.2B
101$4089.A$4088.A2.A.A$4079.A2.A7.A3.A$4080.2A2.A5.4A$4080.2A.2A3.A3.
A$4084.4A$4086.A13$3147.2A.A6.2A.A6.2A.A6.A.2A$3147.A.2A6.A.2A6.A.2A
6.2A.A574.A$3151.2A2.2A4.2A2.2A4.2A2.2A577.A.A$3151.A3.A5.A3.A5.A4.A
578.A$3152.A3.A5.A3.A5.A2.A$3151.2A2.2A4.2A2.2A4.2A2.2A$3147.2A.A4.A
5.A3.A5.A5.A.2A568.2A$3147.A.2A5.A5.A3.A5.A4.2A.A568.2A23.2A$3145.2A
8.2A4.2A2.2A4.2A8.2A558.2A31.A$3145.A9.A5.A3.A5.A10.A559.A29.A.A$
3146.A9.A5.A3.A5.A8.A560.A.A27.2A$3145.2A8.2A4.2A2.2A4.2A8.2A560.2A4.
2A$3147.2A.A6.2A.A6.2A.A6.A.2A568.2A$3147.A.2A6.A.2A6.A.2A6.2A.A$
3783.2A$3741.2A40.A$3741.A39.A.A$3743.A.2A34.2A$3742.2A.2A$3763.2A$
3742.2A.2A16.2A$3743.A.A$3743.A.A$3744.A8$3770.2A$3758.A11.2A$3756.3A
$3732.A22.A$3720.A11.3A20.2A$3718.3A14.A34.2A$3702.A14.A16.2A34.2A$
3702.3A12.2A$3705.A58.2A$3704.2A59.A$3765.A.A$3766.2A$3705.2A$3705.2A
17.2A$3724.2A5$3791.2A$3721.2A32.2A34.A$3721.A20.2A11.2A35.3A$3723.A
19.A50.A$3722.2A16.3A$3718.2A20.A42.2A$3718.A64.2A$3719.3A$3721.A4$
3702.2A$3701.A.A$3701.A25.2A$3700.2A25.A50.2A$3708.2A15.A.A50.A$3708.
2A15.2A52.3A$3781.A10$3722.2A2.2A.2A$3707.2A13.A.A2.A.A$3706.A.A16.2A
3.A$3706.A19.A.2A$3705.2A16.A2.A.A$3722.A.A.A.A$3723.2A.2A7$3717.2A$
3717.2A6$3706.2A$3707.A19.2A$3707.A.A17.A$3708.2A15.A.A$3720.A4.2A$
3719.A.A$3719.A.A$3708.2A10.A$3707.A.A$3707.A$3705.A.A$3704.A.A14.2A
158.2A$3705.A15.A159.2A$3722.3A161.A$3724.A159.3A$3883.A$3883.2A$
3861.2A$3861.2A6$3873.2A$3873.2A$3887.2A$3887.2A$3891.2A$3891.2A5$
3869.2A38.2A6.A$3868.A2.A33.A.A2.A4.3A$3869.A.A31.3A.2A5.A$3870.A31.A
11.2A$3903.3A.2A$3905.A.2A3$3913.2A3.2A$3913.2A3.2A4$3923.A$3922.A.A$
3923.A$3861.A$3861.3A$3864.A$3863.A.A$3864.A2$3905.2A$3865.2A19.A18.
2A$3865.2A17.3A$3883.A$3883.2A3$3888.2A3.2A$3888.2A3.2A$3915.2A$3915.
A$3916.3A$3918.A3$3859.2A$3858.A.A$3858.A$3857.2A49.2A$3908.A$3869.2A
38.3A$3869.2A40.A7$3874.2A$3873.A.A$3873.A$3872.2A19$3569.A$3567.3A$
3541.2A23.A$3542.A23.2A$3542.A.A68.A$3543.2A2.2A37.A25.A.A$3547.2A35.
3A15.A10.A$3583.A18.3A5.3A$3570.2A11.2A20.A3.A$3570.2A32.2A3.2A8$
3541.2A52.2A$3540.A.A16.2A34.2A$3540.A18.A.A45.2A$3539.2A20.A44.A2.A$
3555.2A4.2A44.2A4.2A$3555.A2.A23.2A3.A25.A.A$3557.2A23.A3.A.A26.A$
3548.2A33.A3.2A26.2A$3548.2A20.2A12.A20.2A$3571.A10.A.5A17.A$3568.3A
11.2A4.A14.3A$3568.A16.3A15.A$3582.2A.A$3582.A.A2$3538.2A$3539.A$
3539.A.A$3540.2A2$3837.A$3836.A.A$3837.A$3558.2A$3512.A6.2A37.A$3512.
3A4.A2.A.A31.A.A$3515.A5.2A.3A29.2A$3514.2A11.A$3521.2A.3A$3521.2A.A
3$3510.2A3.2A$3510.2A3.2A4$3506.A$3505.A.A30.2A15.2A$3506.A30.A.A15.
2A$3537.A$3536.2A303.2A$3841.A$3842.3A$3844.A2$3523.2A296.2A$3523.2A
18.A277.A$3543.3A276.3A$3546.A277.A$3545.2A3$3535.2A3.2A$3535.2A3.2A$
3513.2A$3514.A$3511.3A$3511.A3$3569.2A$3569.A.A$3571.A$3520.2A49.2A
235.2A$3521.A286.A.A$3518.3A38.2A249.A$3518.A40.2A249.2A7$3554.2A$
3554.A.A$3556.A$3556.2A2$3802.2A$3802.A$3803.3A$3805.A9$3789.2A$3447.
2A.A6.2A.A6.2A.A6.2A.A308.A$3447.A.2A6.A.2A6.A.2A6.A.2A309.3A$3451.2A
2.2A4.2A2.2A4.2A2.2A4.2A309.A$3451.A3.A5.A3.A5.A3.A5.A$3452.A3.A5.A3.
A5.A3.A5.A$3451.2A2.2A4.2A2.2A4.2A2.2A4.2A$3447.2A.A4.A5.A3.A5.A3.A5.
A$3447.A.2A5.A5.A3.A5.A3.A5.A$3445.2A8.2A4.2A2.2A4.2A2.2A4.2A$3445.A
9.A5.A3.A5.A3.A5.A$3446.A9.A5.A3.A5.A3.A5.A$3445.2A8.2A4.2A2.2A4.2A2.
2A4.2A$3447.2A.A6.2A.A6.2A.A6.2A.A290.2A$3447.A.2A6.A.2A6.A.2A6.A.2A
290.A.A$3773.A$3773.2A12$3746.A$3745.A.A$3746.A3$3766.2A$3766.A.A$
3768.A$3768.2A11$3764.B2AB4.B2AB31.B2AB39.B2AB31.B2AB39.2A$3763.2B2A
4.2B2A31.2B2A39.2B2A31.2B2A39.B2A$3676.A85.4B4.4B31.4B39.4B31.4B39.4B
$3674.3A84.4B4.4B31.4B39.4B31.4B39.4B$3673.A86.4B4.4B31.4B39.4B31.4B
39.4B$3673.2A84.4B4.4B31.4B39.4B31.4B39.4B$3619.2A31.2A104.4B4.4B31.
4B39.4B31.4B39.4B$3619.2A32.A103.4B4.4B31.4B39.4B31.4B39.4B$3653.A.A
100.4B4.4B31.4B39.4B31.4B39.4B$3654.A.A98.4B4.4B31.4B39.4B31.4B39.4B$
3655.A3.2A93.4B4.4B31.4B39.4B31.4B39.4B$3659.2A92.4B4.4B31.4B39.4B31.
4B39.4B$3752.4B4.4B31.4B39.4B31.4B39.4B$3637.A113.4B4.4B31.4B39.4B31.
4B39.4B$3636.A.A39.2A70.4B4.4B31.4B39.4B31.4B39.4B$3636.A2.A38.2A69.
4B4.4B31.4B39.4B31.4B39.4B$3637.2A109.4B4.4B31.4B39.4B31.4B39.4B$
3689.A21.A22.A12.4B4.4B31.4B39.4B31.4B39.4B$3626.2A59.3A20.A.A11.2A6.
3A11.4B4.4B31.4B39.4B31.4B39.4B$3626.2A58.A23.BA2B9.B2AB4.A13.4B4.4B
31.4B39.4B31.4B39.4B$3686.2A23.2B11.3B4.2A11.4B4.4B31.4B39.4B31.4B39.
4B$3710.9B2.2B2.B2.5B10.4B4.4B31.4B39.4B31.4B39.4B$3709.22B11.4B4.4B
31.4B39.4B31.4B39.4B$3709.21B2A9.4B4.4B31.4B39.4B31.4B39.4B$3709.16B
2A3B2A8.4B4.4B31.4B39.4B31.4B39.4B$3709.16B2A2B.B8.4B4.4B31.4B39.4B
31.4B39.4B$3613.2A95.19B9.4B4.4B31.4B39.4B31.4B39.4B$3613.2A105.7B10.
4B4.4B31.4B39.4B31.4B39.4B$3617.2A42.2A58.6B9.4B4.4B31.4B39.4B31.4B
39.4B$3616.A.A41.A.A57.8B7.4B4.4B18.A12.4B39.4B31.4B39.4B$3616.A43.A
60.6B7.4B4.4B10.A7.A.A10.4B39.4B31.4B39.4B$3615.2A42.2A60.6B6.4B4.4B
11.3A4.2BAB9.4B39.4B31.4B39.4B$3628.2A90.6B6.4B4.4B15.A4.2B9.4B39.4B
31.4B39.4B$3628.2A35.2A52.7B5.4B4.4B15.2A5.4B5.4B39.4B31.4B39.4B$
3665.2A53.6B4.4B4.4B4.B.7B3.3B3.6B3.4B39.4B31.4B39.4B31.B$3720.13B4.
4B.13B5.3B2.5B2.4B39.4B31.4B39.4B31.B2A$3572.2A56.2A88.55B39.4B31.4B
39.4B31.2B2A$3572.2A56.2A88.54B39.4B31.4B39.4B31.4B$3665.2A53.53B39.
4B31.4B39.4B31.4B$3665.2A52.32B2A20B5.2A31.4B31.4B39.4B31.4B$3717.34B
2A20B5.A31.4B31.4B39.4B31.4B$3717.22B2.2B3.27B2.BA.A30.4B31.4B39.4B
31.4B$3716.20B11.10B2.B3.B.9B.B2A30.4B31.4B39.4B31.4B$3716.18B16.6B9.
11B31.4B31.4B39.4B31.4B$3716.17B19.3B10.11B30.4B31.4B39.4B31.4B$3715.
19B20.B8.2AB.9B29.4B31.4B39.4B31.4B$3713.21B20.2A6.A.AB2.7B29.4B31.4B
39.4B31.4B$3639.A73.21B21.A6.A5.8B27.4B31.4B39.4B31.4B$3638.A.A71.20B
22.A6.2A4.8B27.4B31.4B39.4B31.4B$3638.A.A72.20B21.2A11.7B27.4B31.4B
39.4B31.4B$3637.2A.2A16.2A54.19B33.11B23.4B31.4B39.4B31.4B$3658.2A54.
18B35.11B21.4B31.4B39.4B31.4B$3508.2A127.2A.2A73.17B35.11B20.4B31.4B
39.4B31.4B$3509.A128.A.2A34.2A37.16B36.11B19.4B31.4B39.4B31.4B$3506.
3A127.A39.A.A37.14B35.2AB2.8B18.4B31.4B39.4B31.4B$3506.A129.2A40.A38.
13B34.A.AB3.7B17.4B18.A12.4B39.4B31.4B$3678.2A40.11B33.A6.7B16.4B10.A
7.A.A10.4B39.4B31.4B$3721.9B33.2A7.6B15.4B11.3A4.2BAB9.4B39.4B31.4B$
3644.2A75.7B44.7B13.4B15.A4.2B9.4B39.4B31.4B$3638.2A4.2A76.4B46.8B11.
4B15.2A5.4B5.4B39.4B31.4B$3637.A.A27.2A54.4B46.8B9.4B4.B.7B3.3B3.6B3.
4B39.4B31.4B$3637.A29.A.A54.4B45.9B7.4B.13B5.3B2.5B2.4B39.4B31.4B$
3636.2A31.A55.4B43.6B.48B39.4B31.4B$3644.2A23.2A55.4B42.7B.46B39.4B
31.4B$3443.2A199.2A81.4B42.6B2.44B39.4B31.4B$3443.A75.2A207.4B26.2A
13.7B.22B2A20B5.2A31.4B31.4B$3437.2A5.A75.A208.4B25.A.A11.31B2A20B5.A
31.4B31.4B$3436.A.AB3.2A72.3A130.A79.4B26.A11.19B2.2B3.27B2.BA.A30.4B
31.4B$3436.A.3B.2B73.A131.A.A79.4B25.2A9.18B10.10B2.B3.B.9B.B2A30.4B
31.4B$3435.2A.A6B205.A81.4B31.B3.19B12.6B9.11B31.4B31.4B$3434.A2.2A6B
150.2A16.2A118.4B29.2AB.15B2.4B13.3B10.11B30.4B31.4B$3434.2A2.9B149.A
16.A120.4B28.2A18B2.4B14.B8.2AB.9B29.4B31.4B$3439.8B149.A.A12.A.A121.
4B28.B.3B2A12B3.4B13.2A6.A.AB2.7B29.4B31.4B$3437.11B149.2A12.2A123.4B
30.2B2A11B5.4B13.A6.A5.8B27.4B31.4B$3436.13B288.4B30.2B2.10B6.4B11.A
6.2A4.8B27.4B31.4B$3436.12B146.2A18.2A122.4B28.2B3.6B.B9.4B10.2A11.7B
27.4B31.4B$3436.12B146.A.A10.2A4.A.A123.4B26.B2AB2.4B14.4B21.11B23.4B
31.4B$3436.B2AD8B147.A10.A.A5.A125.4B26.2A3.2B2AB14.4B21.11B21.4B31.
4B$3436.2BA9B144.A13.2A9.A123.4B32.2A16.4B20.11B20.4B31.4B$3436.2B3A
5B.B2A142.6A8.A5.6A124.4B50.4B19.11B19.4B31.4B$3436.9B2.BA.A146.A14.A
130.4B50.4B16.2AB2.8B18.4B31.4B$3435.9B6.A143.2A18.2A128.4B50.4B14.A.
AB3.7B17.4B18.A12.4B$3434.9B7.2A142.A20.A129.4B50.4B13.A6.7B16.4B10.A
7.A.A10.4B$3433.9B153.A18.A131.4B50.4B11.2A7.6B15.4B11.3A4.2BAB9.4B$
3432.9B151.3A2.A14.A2.3A129.4B50.4B19.7B13.4B15.A4.2B9.4B$3431.4B.6B
150.A2.3A8.A5.3A3.A129.4B50.4B18.8B11.4B15.2A5.4B5.4B$3430.4B.7B151.A
12.2A7.3A131.4B50.4B18.8B9.4B4.B.7B3.3B3.6B3.4B$3429.4B.7B153.2A10.A.
A5.A135.4B50.4B17.9B7.4B.13B5.3B2.5B2.4B$3428.4B.8B155.A10.2A4.A2.2A
133.4B50.4B15.6B.48B$3427.4B.9B153.2A18.2A.A134.4B50.4B14.7B.46B$
3426.4B.11B149.A2.A20.A137.4B50.3B15.6B2.44B$3425.4B.4B.8B147.A.A.A2.
2A12.2A2.A138.4B51.B2A13.7B.22B2A20B5.2A$3424.4B.4B.9B148.A2.A.A.A12.
A.A.2A138.4B50.BA.A11.31B2A20B5.A$3423.4B7.9B151.A.A16.A2.A139.4B52.A
11.19B2.2B3.27B2.BA.A$3422.4B8.10B151.2A16.2A142.4B51.2A9.18B10.10B2.
B3.B.9B.B2A$3421.4B9.5B2A3B314.4B57.B3.19B12.6B9.11B$3420.4B10.5B2A4B
314.4B55.2AB.15B2.4B13.3B10.11B$3419.4B11.11B315.4B54.2A18B2.4B14.B8.
2AB.9B$3420.2B12.12BA.2A311.4B54.B.3B2A12B3.4B13.2A6.A.AB2.7B$3420.B
15.8B2.2A.A312.4B56.2B2A11B5.4B13.A6.A5.8B$3436.7B320.4B56.2B2.10B6.
4B11.A6.2A4.8B$3436.6B194.2A6.2A118.4B54.2B3.6B.B9.4B10.2A11.7B$3436.
6B194.2A6.2A119.4B52.B2AB2.4B14.4B21.11B$3436.7B179.2A34.2A106.4B52.
2A3.2B2AB14.4B21.11B$3434.8B180.A2.A30.A2.A107.4B58.2A16.4B20.11B$
3434.8B184.A28.A112.4B76.4B19.11B$3433.9B.BA178.A.A30.A.A110.4B76.4B
16.2AB2.8B$3433.10BA.A147.2A28.A34.A111.4B76.4B14.A.AB3.7B$3432.3B.7B
.2A147.A28.A36.A111.4B76.4B13.A6.7B$3431.10B153.3A24.A.A34.A.A111.4B
76.4B11.2A7.6B$3391.B14.2B23.10B136.B13.3A3.A31.2A20.2A120.4B76.4B19.
7B$3391.2B12.3B22.12B83.2A50.2B11.A2.A.A2.A23.2A5.2A20.2A5.2A114.4B
76.4B18.8B$3391.3B10.4B22.11B83.B2AB49.3B9.A.A2B.2A.A176.4B76.3B19.8B
$3391.4B8.4B23.10B85.2B6.B43.4B9.A2.A.A2.2A23.A34.A117.4B76.4B17.9B$
3392.4B6.4B.B21.8B89.2B4.3B43.4B9.5A.A2.A21.A2.A11.2A4.2A11.A2.A117.
4B77.2A16.6B.4B$3392.5B4.4B.2B21.8B142.4B5.3A3.BA2.A.A21.A2.A10.A.A4.
A.A10.A2.A118.4B76.A17.7B.4B$3390.7B4.3B.3B20.10B142.4B4.A3.4A.2A.A.
2A18.A12.2A8.2A12.A119.4B76.3A15.6B2.4B$3351.2A34.B.9B3.2B.4B20.10B
143.4B4.3A.2BA.B3.A.A32.A.A4.A.A134.4B77.A8.B4.8B3.4B$3350.A2.A32.2AB
.7B4.B.4B19.13B143.4B5.A.A.2A.3A22.2A12.2A4.2A12.2A122.4B76.A.AB3.4B.
6B2AB5.4B$3351.2A33.2A9B5.4B19.14B144.4B5.7A2.2A3.2A174.4B76.2AB.13B
2A2B5.4B$3382.A4.2B.8B3.4B20.15B144.4B4.6B3.A.A.A.3A13.A34.A124.4B77.
18B7.4B$3382.3A5.9B.4B17.2B.17B144.4B5.4B5.A.A4.A11.A2.A30.A2.A124.4B
76.17B9.4B$3385.A3.15B16.2A20B144.4B3.3B6.A3BAB2A.A11.A.A30.A.A126.4B
76.13B13.4B$3346.8B30.2A.10BA6B.2B13.2A20B69.2A74.8B6.3B2A.A.A.A174.
4B77.12B13.4B$3345.9B30.12BABA7B2A13.2B.2AB.15B67.A.A75.7BAB3.AB5AB2.
A14.2A19.A8.2A130.4B78.10B14.4B$3345.9B32.10BABA5B.B2A16.2AB2.15B66.A
78.5BABA3.A5B2.2A13.A2.A19.3A.2A3.A2.A129.4B77.11B14.4B$3345.9B31.12B
A7B.B21.10B2A5B64.2A78.5B2A3B3A2B.B2A15.2A21.A.A8.2A130.4B77.2B.7B15.
4B$3345.8B31.B.18B24.10B2A5B143.8B.B2A7.A41.3A138.4B76.11B15.4B$3345.
7B31.20B25.18B141.7B4.2A7.A.A24.2A155.4B74.11B17.4B$3345.7B31.20B24.
20B139.4B.2B2A4.B8.2A25.A156.4B73.11B18.4B$3345.6B33.18B25.20B138.4B
4.2A4.BA31.3A158.4B72.11B19.4B$3344.7B33.10B2A5B27.B.18B136.4B10.2ABA
30.A13.A6.2A139.4B71.8B2.B2A18.4B$3343.8B33.10B2A5B28.12B.7B.B79.2A
51.4B10.A.3B35.2A6.A.A5.A.A139.4B70.7B3.BA.A18.4B$3342.8B30.2AB2.15B
30.10B.B.5B.B2A78.A51.4B11.A3BAB34.A7.A.2A6.A140.4B69.7B6.A19.4B$
3328.2A5.2A4.9B27.2B.2AB.15B29.12B.B.7B2A79.3A47.4B13.2A.B2A42.2A7.2A
140.4B68.6B7.2A19.4B$3329.A5.2A4.3B.6B25.2A20B30.2A.10B.6B.2B82.A46.
4B18.2A194.4B66.7B29.4B$3329.A.A9.2B.7B25.2A20B31.A3.15B131.4B216.4B
64.8B30.4B$3330.2A9.B2.6B27.2B.17B29.3A5.9B.4B130.4B218.4B62.8B32.4B$
3334.2A8.6B31.15B30.A4.2B.8B3.4B128.4B220.4B60.9B33.4B$3333.A.A9.B2A
2B31.14B35.2A9B5.4B127.3B222.4B58.4B.6B33.4B$3334.A6.B2.2B2A3B31.13B
35.2AB.7B6.4B126.2B224.4B56.4B.7B34.4B$3330.A53.10B4.2A31.B.9B6.4B
125.B85.2A139.4B54.4B2.6B15.2A19.4B$3329.A.A52.10B3.A2.A33.7B8.4B210.
2A140.4B52.4B3.8B4.B8.A21.4B$3328.A3.A52.8B4.A.A36.5B9.3B353.4B50.4B
5.B2A6B.4B3.BA.A22.4B$3327.A3.A53.8B5.A37.4B11.2B354.4B48.4B5.2B2A13B
.B2A24.4B$3326.A3.A55.10B39.4B203.A.2A162.4B46.4B7.18B27.4B$3325.A3.A
27.2A36.2B38.3B104.A34.A62.3A.2A163.4B44.4B9.17B28.4B$3326.A.A7.2A19.
A77.2B105.3A32.3A59.A170.4B42.4B13.13B30.4B$3327.A9.A17.A.A53.2B22.B
109.A34.A59.3A.2A165.4B40.4B13.12B33.4B$3337.A.A15.2A54.3B90.4B9.B4.
2A20.2A33.2A61.2A2.A165.4B38.4B14.10B36.4B$3338.2A4.A64.2B2AB89.4B10.
B4.2A65.2A54.2A166.4B36.4B14.11B37.4B$3343.A.A63.2B2ABA3B84.4B11.B13.
2A56.A134.2A4.2B4.2A76.4B34.4B15.7B.2B39.4B$3343.A.A64.4B.A3B82.4B12.
B11.A2.A54.A.A133.A2.A.B4AB.A2.A76.4B32.4B15.11B40.4B$3344.A10.2A55.A
.6B80.4B25.2A4.2A44.2A4.2A134.3A2.6A2.3A77.4B30.4B17.11B40.4B$3355.A.
A55.AB2A4B78.4B10.2A20.A44.A2.A142.10A81.4B28.4B18.11B41.4B$3357.A56.
B2A5B76.4B12.A18.A.A45.2A142.A2.6B2.A81.4B26.4B19.11B42.4B$3357.2A55.
3B2.5B74.3B13.A.AB15.2A34.2A154.2A.6B.2A82.4B24.4B18.2AB2.8B43.4B$
3342.2A58.2A11.2B.BA4B73.3B15.2AB51.2A142.A16.2B88.4B22.4B18.A.AB3.7B
44.4B$3343.A58.A14.BABA3B73.2B18.B195.3A105.4B20.4B19.A6.7B45.2B2A$
3340.3A13.B43.A.A14.2B2A3B73.B218.A105.4B18.4B19.2A7.6B46.B2A$3340.A
15.2B42.2A13.2AB.5B93.B197.2A106.4B16.4B29.7B46.B$3356.3B55.A.AB3.3B
271.A128.4B14.4B30.8B$3356.4B54.A5.2A2B4.B264.3A129.4B12.4B32.8B$
3357.4B52.2A5.2A6.2B262.A3B76.A53.4B10.4B33.9B$3358.4B65.4B179.2A3.A
4.A3.2A65.B2AB77.3A52.4B8.4B33.6B.4B$3359.4B19.2A44.4B112.2A32.2A3.2A
22.A2.A2.A2.A2.A2.A2.A2.A61.4B81.A52.4B6.4B34.7B.4B$3360.4B19.A8.3A
140.3B6.2A11.2A20.A3.A22.A.A.A.2A.A4.A.2A.A.A.A59.4B38.A42.2A53.4B4.
4B36.6B2.4B$3361.4B18.A.AB7.A140.4B18.A18.3A5.3A20.A2.A2.A.A.2A.A.A2.
A2.A59.4B38.ABA28.A12.5B51.4B2.4B37.6B3.4B$3362.4B18.2AB7.2A125.2A13.
4B18.3A15.A9.A23.2A3.2A2.2A3.2A103.A3BA11.2A14.3A12.4B51.8B38.6B4.4B$
3363.4B19.B130.2A2.2A14.4B19.A53.A6.A107.AB.BA11.2A17.A7.B2.6B51.6B
38.8B4.4B$3364.4B18.B129.A.A19.4B71.A8.A13.2A91.2A.2A29.2A5.4B.6B52.
4B38.8B6.4B$3365.4B17.B129.A22.4B51.4B14.A10.A12.2A2.2A121.4B2.14B49.
6B37.9B6.4B$3366.4B15.2B128.2A23.4B51.4B14.2A6.2A18.2A122.3B.15B47.8B
36.9B7.4B$3367.4B15.B154.2B6.2A5.2A38.4B40.A2.A64.2A54.5B.14B46.4B2.
4B34.10B8.4B$3368.4B14.B155.B4.2B2A5.A43.D8.2A2.2A6.2A2.2A16.A2.2A61.
A53.23B43.4B4.4B33.3B2A5B9.4B$3369.4B174.3B3.BA.A42.2DB7.A2.A10.A2.A
14.A.A2.2A58.3A5.2A13.2A.2A27.26B41.4B6.4B31.4B2A5B10.4B$3370.4B173.
5B.B2A43.DBDB7.A.A3.A2.A3.A.A80.A7.2A13.AB.BA11.2A13.28B39.4B8.4B30.
11B11.4B$3371.4B13.6B153.3B2A2B46.4B5.2A.A.A.4A.A.A.2A102.A3BA11.2A
12.29B38.4B10.4B24.2A.A12B12.4B$3372.4B9.9B153.3BABAB47.2B10.2A6.2A
95.2A10.ABA25.30B37.4B12.4B23.A.2A2.8B15.4B$3373.4B7.10B153.4BAB.2B
46.B12.2A2.2A96.A.A11.A25.4B3.11B2A9B.B2A34.4B14.4B29.7B16.4B$3374.4B
5.2B2A7B153.5B2.BAB58.A2.A.A96.A38.4B7.2A5BABA4B2AB3.BA.A32.4B16.4B
29.6B17.4B$3375.4B5.B2A6B8.2A139.B6.8B59.2A98.2A37.4B8.2A4B2A6B2A2B5.
A31.4B18.4B28.6B18.4B$3376.4B3.8B10.A139.2B7.3BAB3A84.A111.4B10.4BA5B
A7B4.2A29.4B20.4B26.7B19.4B$3377.4B2.6B13.3A135.3B8.4B2A.A81.3A4.2A
105.3B12.3BA5BA2B2A2B35.4B22.4B26.8B18.4B$3378.4B.7B14.A134.4B9.3BA.
2A2B78.A3.2A2.A106.2B13.2BAB2ABA4B2A2B34.4B24.4B25.8B19.4B$3379.4B.6B
78.B71.2B11.3B3ABAB74.A2.A.2A2.A.A106.B15.2BA8B.2B34.4B26.4B21.AB.9B
19.4B$3380.9B60.4B14.2B71.B16.5B73.A.A.A4.2A2.2A122.10B35.4B28.4B19.A
.A10B20.4B$3381.8B61.4B12.3B88.BAB30.2A44.2A2.2A4.A.A.A122.5B2ABAB33.
4B30.4B18.2A.7B.3B20.4B$3382.8B61.4B10.4B89.2B30.2A46.A.A2.2A.A2.A80.
2B43.3B2ABA2B31.4B32.4B22.10B20.4B$3384.6B62.4B8.4B117.A10.A41.A2.2A
3.A78.2A.6B.2A38.9B30.4B34.4B21.10B21.4B$3385.5B63.4B6.4B117.A.A8.A.A
39.2A4.3A79.A2.6B2.A38.7B.B2A27.4B36.4B19.12B21.4B$3384.7B63.4B4.4B
117.A.A3.A2.A3.A.A44.A82.10A40.5B2.BA.A25.4B38.4B19.11B22.4B$3384.7B
64.4B2.4B117.A.A4.A2.A4.A.A123.3A2.6A2.3A37.4B6.A24.4B40.4B19.10B23.
4B$3384.8B64.8B119.A5.A2.A5.A124.A2.A.B4AB.A2.A40.B6.2A22.4B42.4B21.
8B23.4B$3384.9B57.2A5.6B261.2A4.2B4.2A71.4B44.4B20.8B24.4B$3384.9B57.
A.A4.7B344.4B46.4B18.10B24.4B$3384.9B59.A4.7B120.3A8.3A21.4B36.B147.
4B48.4B17.10B25.4B$3385.4B58.A2.A.2A2.7B2A115.2A18.2A18.4B34.2B146.4B
50.4B15.13B24.4B$3447.4A2.A2B.2B2AB.2A115.2A18.2A19.4B32.3B145.4B52.
4B14.14B24.4B$3451.A5B.ABAB62.2B58.3A8.3A24.4B30.4B144.4B54.4B12.15B
25.4B$3447.4AB.A2B2.BAB62.3B97.4B.B26.4B144.4B56.4B10.17B.2B22.4B$
3390.2A54.A3.A.2A5.4B59.4B98.7B23.4B144.4B58.4B8.20B2A22.4B$3389.A2.A
52.A.3AB.A8.2A58.4B58.A5.A2.A5.A24.9B21.4B144.4B60.4B7.20B2A23.4B$
3390.2A53.A.A.2A.A8.A41.2A5.4B6.4B58.A.A4.A2.A4.A.A22.10B11.2A7.4B
144.4B62.4B5.15B.B2A.2B25.4B$3444.2A.A.B.A.2A7.3A38.A7.4B4.4B60.A.A3.
A2.A3.A.A23.11B2.2B6.A7.4B144.4B64.4B3.15B2.B2A29.4B$3444.A2.A2B.A2.A
9.A40.A6.4B2.4B62.A.A8.A.A24.16B2.BA.A6.4B144.4B66.4B.5B2A10B34.4B$
3446.A2.2A.A51.4A5.8B64.A10.A24.16B.B.B2A6.4B144.4B68.9B2A10B35.4B$
3447.2A.B.2A49.A4.A5.6B70.2A28.21B7.4B144.4B70.20B36.4B412.2A$3448.A.
A52.5A.A4.7B69.2A27.23B5.4B144.4B72.20B36.2B2A411.2A$3446.A.B.AB2A47.
2A2.BAB.A4.7B98.23B4.4B144.4B73.20B37.B2A$3445.A.2ABA2.A46.A2.3ABA.2A
2.7B2A97.24B2.4B3.2A139.4B73.18B.B39.B$3445.A5.A48.2A.A.ABAB.3B.2B2AB
.2A64.A3.A.A.6A.A.A3.A9.2AB.27B4.A139.4B71.B.20B$3446.6A.A49.A2.A.2A
2B2A.ABAB66.A.2A.A2.A.A2.A.A2.A.2A.A7.A.AB.26B2.BA.A138.4B71.2AB.18B$
3448.A3.A.A48.2A.A.A.3B2.BAB67.A7.2A4.2A7.A7.A6.25B.B2A138.4B72.2A22B
$3451.A2.A50.A.A.2A5.4B64.2A2.A3.A2.4A2.A3.A2.2A5.2A7.26B139.4B74.2B.
17B.2A$3452.2A51.A.A.A8.2A63.A2.6A.2A4.2A.6A2.A13.8B2A16B138.4B78.15B
3.A$3506.A2.A8.A64.2A6.2A.6A.2A6.2A15.6B2A14B139.4B79.4B.9B5.3A$3507.
2A10.3A63.2A.A16.A.2A18.12B2A8B137.4B79.4B3.8B7.A$3521.A61.2A2.A8.2A
8.A2.2A17.10BA2BA3B.4B135.4B79.4B5.5B$3584.A.A2.3A3.A2.A3.3A2.A.A20.
9B2A3B3.4B133.4B79.4B5.6B$3583.A2.3A5.2A2.2A5.3A2.A20.12B5.4B131.4B4.
A74.4B5.7B$3584.2A3.A.2A.A4.A.2A.A3.2A22.12B5.4B110.2A17.4B3.3A73.4B
5.4B.2B$3578.2C5.A.A2.A.3A4.3A.A2.A.A24.12B5.4B109.A17.4B3.A3.2A70.4B
5.4B2.4B$3578.2C5.A.2A.A3.6A3.A.2A.A23.14B5.4B105.BABA16.4B3.A.2A.B.A
68.4B5.4B5.2A$3584.2A2.A.A.A.A4.A.A.A.A2.2A21.4B2.10B5.4B103.2B2A16.
4B4.A.A.2B2AB66.4B5.4B6.A$2364.2A1217.A2.A7.6A7.A2.A19.4B4.B.B3.4B5.
4B101.4B16.4B4.2A.A.B3A66.4B5.4B8.3A$2361.2A2.A1218.2A3.A14.A3.2A21.
2B6.3B3.4B5.4B99.4B17.3B8.A.ABA66.4B5.4B11.A$2361.2A2.A1222.A3.4A2.4A
3.A25.B6.B2AB4.4B5.4B98.3B18.2B9.A.ABA8.A56.4B5.4B$2366.A1220.A.2A.A
2.A2.A2.A.2A.A32.2A6.4B5.4B97.2B19.B9.2A.2A8.3AB53.4B5.4B$2361.A.4A
1220.A2.3A8.3A2.A19.B21.4B5.3B97.B42.B2ABA52.4B5.4B$2360.2A.A1220.2A.
A2.3A2.A2.A2.3A2.A.2A15.2B22.4B5.2B140.3B2AB18.2A$2364.3A1217.2A.A.2A
4.4A4.2A.A.2A14.3B23.4B5.B139.8B17.A$2365.A1222.A3.A8.A3.A17.4B24.4B
143.2ABA.4B15.A.A$2365.2A1222.A.A10.A.A17.4B26.4B127.2A13.2AB2A2B2A
15.2A$2367.A1219.A.A.A.A6.A.A.A.A14.4B28.4B127.A12.A7B2A2B$2366.A
1220.2A3.2A6.2A3.2A13.4B30.4B126.A.A10.A4BA6B$2366.A1252.4B32.4B126.
2A10.A4BA6B$2362.3A1253.3B35.4B137.A3BA3BABAB464.2A$3617.4B36.4B139.
2A3B3A465.2A97.2A$2362.3A1251.4B38.4B140.2B568.2A$2366.A1248.4B40.4B$
2366.A1247.4B42.4B$2367.A1245.4B44.4B$2365.2A1245.4B46.4B129.2A$2365.
A1245.4B48.3B129.2A$2364.3A1243.4B188.2B$2360.2A.A1245.4B190.2B258.2A
$2361.A.4A1241.4B190.2B259.2A$2366.A1240.4B$2361.2A2.A1240.4B207.4B$
2361.2A2.A1239.4B208.3B2A$2364.2A1238.4B208.2ABA2B$3603.4B209.2AB.A.B
A$3578.2C22.4B211.B3.ABAB$3578.2C21.4B217.A2B$3600.4B217.4B$3599.4B
217.B2A2B$3598.4B219.2A$3597.4B$3596.4B446.A12.A$3595.4B446.A.A10.A.A
$3594.4B448.2A10.2A$3593.4B237.2A$3592.4B239.A$3591.4B237.3A$3590.4B
238.A$3589.4B$3588.4B$3587.4B$3547.2A5.2A30.4B$3545.2B2AB3.B2A2B26.A
4B$3545.4B5.4B25.ABA2B$3545.6B.6B25.B2AB$3545.6B.6B24.4B$3547.4B.4B
25.4B103.2A$3546.5B.5B26.B103.A2.A$3546.5B.5B131.2A$3545.2B3AB.B3A2B$
3546.BA2BA.A2BAB$3545.BA3BA.A3BAB17.A2B$3545.B4AB.B4AB16.ABA2B$3545.
2BA3B.3BA2B16.A2BA$3545.6B.6B15.2B2A$3545.6B.6B14.4B253.2A$3545.6B.6B
13.A3B253.B2AB$3545.6B.6B12.ABAB254.4B$3545.6B.6B11.BA2BA255.2B$3545.
6B.6B10.3B2A255.3B2A$3546.5B.2BA2B9.A2.2B260.2A$3545.8B3A2B7.A.A.B
274.2A$3546.6BA3BAB7.A2.A200.A74.A$3546.6B2AB2AB6.B.2A201.3A70.A.A17.
2A4.2A.A6.2A.A6.A.2A$3547.4B.2AB2A6.4B205.A69.2A19.A4.A.2A6.A.2A6.2A.
A$3545.13B4.4B205.2A89.A3.2A4.2A2.2A4.2A2.2A$3545.6B.2AB2A4.4B297.2A
2.A5.A3.A5.A4.A$3545.4B2.B2AB2AB2.4B187.2A114.A5.A3.A5.A2.A$3545.2B2A
B.BA3BAB.4B181.2A5.2A100.2A7.2A2.2A4.2A2.2A4.2A2.2A$3547.2A2.2B3A6B
77.4B29.4B68.2A107.A9.A4.2A.A6.2A.A6.A.2A$3553.BAB.4B77.4B29.4B176.A.
A8.A5.A.2A6.A.2A6.2A.A$3553.7B77.4B29.4B177.2A9.2A8.2A8.2A8.2A$3554.
5B77.4B29.4B73.2A17.2A105.A9.A10.A$3540.3B2AB7.5B77.4B29.4B74.2A17.A
67.2A27.2A9.A9.A8.A$3538.4B3A3B4.5B77.4B29.4B69.2A21.A.A36.2A29.2A28.
A8.2A8.2A8.2A$3537.2BAB2A7B.BABAB77.4B29.4B70.2A21.2A37.2A58.A5.2A.A
6.2A.A6.A.2A$3536.3BA2BA4BA6BA77.4B29.4B193.2A4.A.2A6.A.2A6.2A.A$
3536.3BAB2A5BA7B75.4B29.4B$3534.2AB.4B3A3BA4BA2B74.B2AB29.B2AB147.A$
3533.A.AB3.3B2AB4.2A5B72.3BA29.3BA147.A.A$3533.A16.7B72.3A30.3A149.2A
$3532.2A16.7B72.A32.A108.2A32.2A$3550.2B3A2B214.2A11.2A20.A139.2A4.2A
$3550.BA3BAB227.A20.A68.A71.A.A2.A.A$3550.A5BA228.3A17.2A63.4A.A72.4A
$3551.A3BA231.A52.2A28.3A.A.A69.A2.2A2.A$3551.B3AB284.2A33.A.A68.A2.
2A2.A$3552.3AB320.A45.2A4.2A18.A2.A$3552.4B213.2A104.2A45.A.A2.A.A$
3553.4B212.A.A19.2A82.2A47.4A14.3A$3552.4B215.A19.A83.2A3.2A.2A37.A2.
2A2.A10.A.3A$3551.B2A2B215.2A16.A.A88.2A.2A10.A26.A2.2A2.A9.A.A.A$
3552.2A235.2A102.3A28.A2.A11.A2.A4.3A$3858.B33.A24.A.A20.2A$3858.AB
17.A2.A11.2A26.A24.A5.A12.2A$3860.A6.2A8.A38.A2.A25.A5.A11.A2.A$3859.
2AB5.A8.A4.A33.A.A.A4.A20.A5.A11.A.A.A$3774.A84.ABAB5.3A4.A.A2.2A33.A
2.A5.A39.A2.A$3735.2A35.3A85.4B6.A2.2A.A39.2A6.A22.3A18.A$3735.2A34.A
89.3B97.A3.A.A$3771.2A89.2B56.3A3.3A32.A$3698.B164.B9.A2.A84.A8.2A.2A
$3697.2B176.2A47.A49.A$3696.3B41.2A112.2A68.A24.A7.3A3.3A3.A2.2A$
3695.4B41.2A112.2A5.2A61.A15.A8.A20.3A$3694.4B38.2A123.2A62.A14.A8.A
11.A8.3A$3693.4B39.2A187.A14.A20.A7.A2.2A$3692.4B144.A47.2A35.A19.3A
3.3A7.A12.A$3691.B2AB135.2A8.3A16.2A28.A13.2A.2A28.3A3.3A25.2A.2A$
3690.3BA48.2A86.2A11.A15.2A28.A.A11.A17.3A3.3A19.A$3690.3A49.2A14.2A
23.A58.2A21.2A23.2A12.2A2.A6.3A22.A8.A$3690.A68.A22.A.A80.2A29.A8.3A
17.A14.A8.A$3756.3A8.2A14.A40.2A69.2A8.3A5.A5.A5.A14.A$3756.A11.A55.
2A70.A7.2A2.A4.A5.A5.A26.3A$3765.3A60.2A73.A9.A5.A$3660.4B81.A19.A62.
2A73.2A.2A42.A5.A$3659.4B82.3A167.3A32.A5.A$3658.4B86.A31.2A168.A5.A$
3657.B2AB86.2A31.A.A110.A15.3A57.2A$3627.2A27.3BA122.A40.2A68.2A14.3A
.A38.3A13.A2.A$3628.A26.B3A123.2A39.2A68.A16.A.A.A53.A.A.A$3628.A.A
24.BAB106.A.2A130.2A11.A2.A13.3A38.A.3A$3629.2A24.2B107.2A.A130.A.A
11.2A57.3A$3655.B244.A25.A5.A$3607.2A6.2A60.2A6.2A86.2A125.2A24.A5.A
21.A10.3A$3601.A.2A.A.A6.A.A.2A.A48.A.2A.A.A6.A.A.2A.A80.2A151.A5.A
21.A20.2A.2A$3601.2A.A.A10.A.A.2A4.2A16.2A24.2A.A.A10.A.A.2A261.A8.A
5.A9.A$3605.B2A8.2AB8.2A5.A10.A29.B2A8.2AB147.3A19.2A22.2A44.3A32.A5.
A4.A2.2A$3605.2AB8.B2A14.4A6.A.A29.2AB8.B2A148.A21.2A89.3A3.3A4.A5.A
5.3A$3606.4B4.4B4.A9.A2.2A6.2A13.2A6.2A8.4B4.4B147.3A20.A21.A4.A47.A
10.3A28.3A$3607.B2A4B2AB5.3A33.2A6.2A9.B2A4B2AB246.A20.A10.3A6.A2.2A$
3609.2A2B2A10.A9.A3.A39.2A2B2A145.2A43.A2.A.A.2A.A.A45.A8.A5.A5.A24.A
$3605.B2.3A2B3A2.B5.2A7.A5.A35.B2.3A2B3A2.B142.A43.4A.2A2.2A.3A18.2A.
2A29.A5.A5.A20.2A.2A$3604.2A2B3A2.3A2B2A13.A5.2A33.2A2B3A2.3A2B2A138.
3A50.4A5.A17.A12.A7.3A3.3A4.A5.A$3604.2A2B2AB2AB2A2B2A13.A3.3A34.2A2B
2AB2AB2A2B2A138.A41.2A5.2A.A4.A.2A.A18.2A2.A7.A$3605.B.B8AB.B16.4A36.
B.B8AB.B181.2A5.A2.A4.A2.A.2A18.3A8.A11.A10.3A$3608.8B21.A40.8B192.A
3.2A2.2A4.A17.3A20.A24.A44.A15.A$3609.6B64.6B190.3A2.3A2.A.A.3A17.2A
2.A3.3A3.3A7.A24.A44.2A13.2A$3611.2B68.2B192.A2.4A4.A2.A18.A49.A44.2A
13.2A$3575.2A.2B17.A13.2B4.2A24.2A4.2A8.A6.A8.2A16.A20.2B.2A146.2A9.A
.A2.2A.A.A.A19.2A.2A8.A82.A13.A$3575.A2.2AB7.A7.BAB13.BA2.B2AB10.2A
10.B2AB3.2A7.3A4.3A7.2A7.A7.BAB18.B2A2.A146.2A10.A5.2A.A.2A31.A32.3A
3.3A$3576.2ABAB6.B2A4.4A13.B2A2.B2.B8.A4BA8.B2.B11.2A2BA2.A2B2A14.B2A
4.4A19.BAB2A151.2A10.2A.A.A28.A.A3.A57.A$3577.3BAB6.2B2.2BAB4.B11.B2A
.4B7.A6BA7.4B10.A3B2A2.2A3BA14.2B2.2BAB4.B8.A6.BA3B152.2A10.4A.A27.A
43.A6.2A$3577.3BAB3.B3.2A5BA2.3A7.B2.2A7BA4.A8BA4.A6BA7.2A2B.B4.B.2B
2A10.B3.2A5BA2.3A6.ABA5.BA3B111.2A55.A29.A2.A39.A5.A2.A5.2A.A5.A.2A$
3576.2ABAB3.3A2.A5B2A3.B7.3A.2A5B.BAB3.A8BA3.BAB.4BAB5.3A2B8.2B3A8.3A
2.A5B2A3.B6.A3BA5.BAB2A110.2A24.A.2A23.2A32.A.A.A14.A23.A4.A.A.A5.A5.
A5.A20.2A7.2A$3575.A2.2AB4.B4.BA2B2.2B11.B2.2A7BA4.A8BA4.A6BA7.2A2B.B
4.B.2B2A10.B4.BA2B2.2B10.ABA6.B2A2.A115.2A18.2A.A5.2A14.A2.A33.A2.A
14.A28.A2.A7.2A.2A.2A.2A9.3A10.2A5.2A10.3A$3575.2A.2B8.4A4.2AB13.B2A.
4B7.A6BA7.4B10.A3B2A2.2A3BA14.4A4.2AB10.A8.2B.2A44.2A69.2A27.2A13.A2.
A35.2A14.A.A26.A32.3A10.2A3.2A10.3A$3587.BAB7.A13.B2A2.B2.B8.A4BA8.B
2.B11.2A2BA2.A2B2A14.BAB7.A69.2A110.A2.2A.A.A3.2A9.3A.3A36.2A20.A.A
10.2A3.2A$3581.B2AB3.A23.BA2.B2AB10.2A10.B2AB3.2A7.3A4.3A7.2A7.A24.B
2AB162.3A3.A.A.A2.A10.A.A.A36.A2.A11.A2.A11.2A15.2A13.A17.A$3581.4A
26.2B4.2A24.2A4.2A8.A6.A8.2A32.4A119.2A44.2A5.3A51.A.A.A9.A2.2A2.A9.A
2.A3.A.A.A3.A2.A13.2A15.2A$3579.BA.2B.AB24.2B68.2B24.BA.2B.AB55.2A60.
2A5.2A36.A3.3A15.A3.A34.3A.A10.A2.2A2.A10.3A.9A.3A15.2A13.2A$3579.2AB
2.B2A22.6B64.6B22.2AB2.B2A55.2A67.2A36.3A4.2A52.3A14.4A15.A4.A4.A19.A
13.A$3579.2AB2.B2A21.8B62.8B21.2AB2.B2A160.2A3.A.2A2.A11.A.A.A.A48.A.
A2.A.A12.2A9.2A$3579.BA.2B.AB18.B.B8AB.B7.2B6.2B39.B.B8AB.B18.BA.2B.A
B145.A7.A7.A.A2.A.A.A14.A.A28.A2.A18.2A4.2A12.A11.A$3581.4A19.2A2B2AB
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42.A2.2A2.A38.A7.A7.2A$3581.B2AB19.2A2B3A2.3A2B2A6.4B2.4B38.2A2B3A2.
3A2B2A19.B2AB147.A7.A5.2A.A.A.A.A2.A42.A2.2A2.A37.2A7.2A6.A12.A13.A$
3605.B2.3A2B3A2.B8.2B4.2B40.B2.3A2B3A2.B136.A7.A43.A6.2A45.4A54.A.A
11.2A13.2A$3609.2A2B2A11.2B6.2B43.2A2B2A139.A.A5.A.A42.4A.2A45.A.A2.A
.A52.2A11.2A15.2A$3607.B2A4B2AB8.B2AB4.B2AB21.2A6.2A9.B2A4B2AB138.A7.
A49.A25.2A3.2A13.2A4.2A65.A17.A$3606.4B4.4B8.2A6.2A22.2A6.2A8.4B4.4B
189.6A26.A.A.A.A$3605.2AB8.B2A56.2AB8.B2A171.3A3.3A8.A9.2A9.2A10.A3.A
38.2A2.A16.4A17.3A10.2A3.2A10.3A$3605.B2A8.2AB56.B2A8.2AB172.A5.A10.
3A6.2A9.2A49.2A2.2A3.A10.2A7.A15.3A10.2A5.2A10.3A$3601.2A.A.A10.A.A.
2A48.2A.A.A10.A.A.2A187.A24.A3.2A3.2A3.A29.2A7.A10.2A2.2A3.A27.2A7.2A
$3601.A.2A.A.A6.A.A.2A.A48.A.2A.A.A6.A.A.2A.A132.3A3.3A71.A.A.2A3.2A.
A.A34.4A15.2A2.A$3607.2A6.2A60.2A6.2A139.A5.A54.3A7.3A5.A3.2A3.2A3.A
115.2A$3848.A22.2A14.3A7.3A98.2A31.2A.A.A$3847.A.A4.A16.A.A36.A3.A83.
2A29.A2.A.A$3848.A5.2A17.A35.A.A.A.A54.2A18.2A12.A13.A10.2A4.A$3821.
2A22.A8.A11.2A5.2A34.2A3.2A54.2A17.A2.A10.2A13.2A13.A$3820.A.A16.A4.A
.A19.2A17.2A3.2A3.2A3.2A88.2A11.2A13.2A12.A3.A$3820.A17.2A5.A40.5A5.
5A60.3A22.A16.A15.A12.3A2.A$3819.2A5.2A11.A47.3A7.3A58.3A3.A20.A.A$
3826.2A26.A7.2A24.A9.A57.3A3.2A20.A3.A41.6A.A$3848.A5.2A6.2A11.A35.A
45.A2.2A22.A2.A41.A2.A.A2.A$3847.A.A4.A19.A.A33.A.A44.A2.A69.A3.2A$
3830.2A7.A8.A24.A.2A33.2A.A44.2A24.A2.A43.3A$3830.2A6.2A5.A21.2A3.2A.
2A33.2A.2A3.2A63.A3.A46.A$3839.A4.A.A12.2A6.2A4.A.2A33.2A.A4.2A64.A.A
17.2A4.2A19.4A$3845.A8.A4.A14.A.A33.A.A72.A18.A.A2.A.A18.A3.A$3853.3A
4.3A12.A35.A68.2A24.A2.A20.A3.2A$3833.2A27.A27.A.A86.A2.A22.2A2.2A18.
2A.2A4.2A$3834.A4.A49.A90.2A22.3A2.3A19.A.A5.A$3831.3A4.3A12.3A33.A
39.2A6.2A33.2A24.2A6.A2.A21.A3.4A$3831.A57.A2.A35.A2.A4.A2.A32.2A24.
2A14.A14.2A2.A.A$3853.A.A33.3A36.A.A6.A.A73.A.2A13.A.2A4.3A$3838.3A5.
2A5.A.A70.2A2.3A2.3A2.2A27.2A46.A12.A.A.2A2.A2.A$3848.A40.3A33.A6.A2.
A6.A26.A39.A3.A2.A.A12.A2.2A4.2A$3838.A.A4.A7.3A33.A2.A32.A.2A10.2A.A
24.A.A8.2A.2A26.A5.A2.A9.3A3.2A$3838.A.A5.2A41.A36.A.A10.A.A25.2A8.A.
A.2A26.A6.2A10.A$3862.A26.A38.2A3.2A3.2A36.A15.2A39.A2.A$3838.3A12.3A
4.3A27.A.A39.A.A41.3A.3A8.A2.A10.3A3.3A19.A2.A$3854.A4.A15.A35.A20.2A
48.A7.A.A.A39.2A$3831.A27.2A13.A.A33.A.A15.2A8.2A36.2A.A.A7.3A.A15.A
24.2A$3831.3A4.3A26.2A4.A.2A33.2A.A4.2A6.A.A10.A.A34.2A.2A8.3A17.A$
3834.A4.A8.A18.2A3.2A.2A33.2A.2A3.2A5.A.2A10.2A.A66.A23.A2.A$3833.2A
12.A.A4.A18.A.2A33.2A.A11.A6.A2.A6.A52.3A35.A2.A$3848.A5.2A6.2A10.A.A
33.A.A13.2A2.3A2.3A2.2A41.2A2.A16.3A27.2A$3845.A8.A7.2A11.A35.A16.A.A
6.A.A15.2A26.A2.2A5.A5.A34.2A$3839.A4.A.A41.A9.A29.A2.A4.A2.A15.A.A
26.5A4.A5.A2.A5.A17.A2.2A$3830.2A6.2A5.A41.3A7.3A29.2A6.2A17.A36.A5.A
2.A5.A17.2A2.A2.A2.A$3830.2A7.A26.2A18.5A5.5A25.A75.A5.A7.3A6.5A3.A2.
A$3854.A11.2A5.2A10.2A3.2A3.2A3.2A22.3A57.5A6.3A36.2A$3848.A5.2A17.A
49.A8.A2.2A46.A2.2A16.3A7.A5.A13.2A$3826.2A19.A.A4.A16.A.A40.2A7.2A6.
A.A2.A6.2A38.2A2.A26.A5.A4.5A$3819.2A5.2A11.A8.A22.2A42.A15.A.A.A7.2A
69.A5.A5.2A2.A2.A2.A$3820.A17.2A5.A41.3A7.3A15.A.A12.2A.A.2A89.A2.2A
2.A2.A$3820.A.A16.A4.A.A40.3A7.3A16.2A11.A3.A3.A78.3A15.2A$3821.2A22.
A78.A4.A4.A.A.A65.A17.2A10.2A$3861.A5.A43.2A9.2A.2A2.A3.2A3.A64.BAB
15.3A$3860.3A3.3A18.2A9.2A10.A2.A10.A4.A4.A.2A66.A15.A.2A9.A2.A$3887.
2A9.2A5.A2.A2.A.A15.A3.A67.B5.B11.A.A11.A2.A$3826.A5.A72.5A.A.2A15.2A
.A.5A60.3A3.3A10.A2.A11.2A$3825.3A3.3A77.A3.A15.A.A2.A2.A61.B5.B12.2A
12.2A$3907.2A.A4.A4.A10.A2.A61.2A6.A$3860.A7.A37.A3.2A3.A2.2A.2A9.2A
61.A2.A4.BAB27.A2.A$3859.A.A5.A.A36.A.A.A4.A4.A74.A.A.A4.A28.A2.A191.
A20.A$3860.A7.A38.A3.A3.A11.2A33.A33.A.BA34.2A191.A.A18.A.A$3825.A7.A
74.2A.A.2A12.A.A31.A.A33.3BA33.2A186.A4.A.A18.A.A4.A$3824.A.A5.A.A74.
A.A.A15.A31.A.A33.ABA221.A.A2.2A.2A2.2A8.2A2.2A.2A2.A.A$3825.A7.A74.A
2.A.A6.2A7.2A31.A41.A2.A25.A2.A185.A3.A5.A2.A6.A2.A5.A3.A$3908.2A2.A
8.A80.3A2.3A23.A2.A190.3A4.A2.A2.A2.A4.3A$3918.3A82.2A2.2A25.2A184.5A
4.A2.A.A.2A2.2A.A.A2.A4.5A$3918.A85.A2.A26.2A183.A4.A5.2A2.A8.A2.2A5.
A4.A$4002.A.A2.A.A208.A2.A11.2A8.2A11.A2.A$3954.2A13.2A31.2A4.2A23.A
2.A178.A2.A.2A34.2A.A2.A$3953.A.A13.A.A61.A2.A177.A.A.A5.A28.A5.A.A.A
$3953.A17.A62.2A179.A2.A4.A.A26.A.A4.A2.A$3952.2A17.2A61.2A182.2A2.A
2.A12.2A12.A2.A2.2A$4223.2A13.2A13.2A$3964.2A17.2A48.A2.A178.2A44.2A$
3964.A18.A.A47.A2.A176.3A.A42.A.3A$3965.3A15.A50.2A176.A4.A42.A4.A$
3967.A66.2A177.3A.2A40.2A.3A$4020.3A15.2A175.A3.A38.A3.A$4032.A.A.A2.
A179.A38.A$3966.2A6.2A6.2A3.A.2A27.A.A.A.A9.A.2A178.A.A40.A.A$3956.A
8.A2.A4.A2.A4.A2.A2.2A.A39.A3.2A179.A4.A36.A4.A$3952.A2.A.A4.A3.2A2.A
3.2A2.A3.A.A5.A.2A22.A.A5.A.A2.A.A3.A179.A.4A36.4A.A$3952.4A.A2.6A2.
6A2.6A2.6A.A.A22.A9.A3.A2.A.A.2A177.A21.2A21.A$3916.2A39.A.A5.A.A5.A.
A5.A.A5.A.A6.2A16.A.A5.A.A8.A.2A179.A19.2A19.A$3916.2A36.2A.A.A.A.A3.
A.A.A3.A.A.A3.A.A.A3.A.A5.A32.A184.2A40.2A$3953.A5.A.A3.A.A.A3.A.A.A
3.A.A.A3.A.A.A.A.2A19.A.A.A.A7.2A.4A174.2A48.2A$3953.2A6.A.A5.A.A5.A.
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2A10.3A5.3A.A.A2.A.A172.A52.A$3959.2A.A5.A.A3.A2.2A3.A2.2A3.A4.A.A2.A
4.A.A.A17.A4.7A172.A.4A44.4A.A$3962.A.2A2.A2.A4.A2.A4.A2.A8.A31.2A.A
179.A4.A44.A4.A$3962.2A.A3.2A6.2A6.2A18.2A2.A19.A.2A3.3A173.A.A48.A.A
$4007.A2.A18.A5.A2.A176.A46.A$4009.2A19.4A.A.A173.A3.A3.3A34.3A3.A3.A
$4034.2A.2A170.3A.2A6.A16.2A16.A6.2A.3A$4032.A.A.A171.A4.A6.A17.2A17.
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4003.A2.A.A2.A18.5A184.2A4.2A24.2A4.2A$4002.2A2.A.A2.2A19.A181.2A2.A
2.A2.A.A24.A.A2.A2.A2.2A$4000.3A4.A4.3A196.A2.A4.A.A4.A24.A4.A.A4.A2.
A$4007.A202.A.A.A5.A36.A5.A.A.A$4022.2A187.A2.A.2A42.2A.A2.A$4000.3A
9.3A6.A2.A189.A2.A11.2A16.2A11.A2.A$4003.2A5.2A9.4A190.A4.A5.2A2.A16.
A2.2A5.A4.A$4000.3A9.3A4.A.A2.A.A189.5A4.A2.A.A.2A10.2A.A.A2.A4.5A$
4018.A8.A195.3A4.A2.A10.A2.A4.3A$4007.A10.A8.A190.A3.A5.A2.A14.A2.A5.
A3.A$4000.3A4.A4.3A4.A.A2.A.A190.A.A2.2A.2A2.2A16.2A2.2A.2A2.A.A$
4002.2A2.A.A2.2A8.4A193.A4.A.A26.A.A4.A$4003.A2.A.A2.A9.A2.A198.A.A
26.A.A$4003.A2.A.A2.A10.2A200.A28.A3$5803.A$5075.A725.2A$5074.A.A724.
A2.3A2.A$5073.2A726.A4.3A$5076.A725.3A2.2A$5072.A3.A$5069.A2.A729.3A
2.2A$5068.A.A2.4A724.A4.3A$5067.A2.A730.A2.3A2.A$5068.A.A2.4A724.2A$
5069.A2.A730.A$5072.A3.A$5076.A$5073.2A$5074.A.A14.A.A$5075.A15.A3.3A
$5089.2A5.2A$5089.2A3.A6.A8.2A$5092.A.2A2.2A.A7.3A$5088.A3.A6.A2.2A.A
.A2.A$5085.A2.A6.A3.4A3.2A2.2A$5084.A.A2.6A8.A2.A2.2A$5083.A2.A18.A3.
2A$5084.A.A2.6A8.A2.A2.2A$5085.A2.A6.A3.4A3.2A2.2A$5088.A3.A6.A2.2A.A
.A2.A$5092.A.2A2.2A.A7.3A$5089.2A3.A6.A8.2A$5089.2A5.2A$5091.A3.3A$
5091.A.A3$3981.2A.2A306.A$3934.2A6.2A37.2A.A3.2A302.3A$3934.2A6.2A42.
A2.A305.A$3967.5A7.6A.3A305.2A$3966.A5.A5.A2.A.A288.2A$3964.3A5.3A3.
2A3.A.2A285.2A$3963.A11.A6.2A.2A285.2A$3963.A.3A.A.4A297.A$3964.A3.3A
300.A.A$3918.2A38.2A6.A5.2A.A295.A.2A$3917.A.A38.A.A4.2A.A.A.A.2A$
3917.A.A.2A32.2A.A.A5.A.A2.A306.2A$3918.A.A.A32.A.A.A6.A2.2A301.2A4.
2A$3920.A36.A7.2A305.2A$3918.A2.A13.2A4.2A13.A2.A187.A.2A4.A.2A4.A.2A
$3921.A12.A.A4.A.A12.A190.2A.A4.2A.A4.2A.A22.2A101.A26.2A$3917.A3.A
12.A8.A12.A3.A220.2A.2A4.A3.A87.2A8.3A24.A$3917.A3.A12.A.A4.A.A12.A3.
A186.3A5.3A5.3A15.2A.A.A3.A.3A10.2A2.2A71.A.A10.A21.A.A$3921.A13.2A4.
2A13.A189.A2.A4.A2.A4.A2.A18.A6.A12.A.A2.2A71.A11.2A15.A5.2A4.2A$
3918.A2.A34.A2.A186.A7.A7.A21.A.2A5.4A7.A105.2A11.2A$3920.A36.A190.A
7.A7.A16.2A.A7.2A2.A5.2A.6A72.2A25.A.A$3918.A.A.A32.A.A.A136.A3.A43.
2A6.2A6.2A19.A2.3A4.A3.A5.A3.A4.A68.A3.A2.A37.A$3917.A.A.2A32.2A.A.A
134.2A3.2A33.2A11.2A6.2A6.2A16.2A7.A9.A3.A.A.A68.A2.A.3A37.A.A$3917.A
.A38.A.A134.A.A.A.A33.A2.2A3.A2.A4.A2.A4.A2.A4.A16.A2.A.A3.A.A.A.A3.A
3.A70.3A.A39.A2.A$3918.2A38.2A137.A.A36.A.A2.A.A2.A4.A2.A4.A2.A4.A16.
A87.2A5.A.3A37.A2.A$4096.2A.2A34.2A.A9.2A6.2A6.2A3.2A14.2A2.A.A.A.A3.
A.A.A7.A60.2A11.A$4096.A3.A38.2A3.2A6.2A6.2A9.A.2A34.3A60.2A22.2A23.A
2.A$4142.A4.A2.A4.A2.A4.A2.A.A2.A.A13.A.A.A3.A.A.A.A2.2A2.A64.A22.2A
25.2A$4142.A4.A2.A4.A2.A4.A2.A3.2A2.A31.A2.A62.A.A$4144.2A6.2A6.2A11.
2A12.A3.A.A.A.A3.A.A2.2A.A61.2A.A12.3A$3934.2A6.2A191.2A11.2A6.2A6.2A
17.2A22.A.2A76.A$3934.2A6.2A191.A2.2A3.A2.A4.A2.A4.A2.A4.A15.A.A.A.A.
A.A3.A.A.A.A.A.A80.A$4136.A.A2.A.A2.A4.A2.A4.A2.A4.A12.2A.A22.2A64.2A
$4135.2A.A9.2A6.2A6.2A3.2A10.A.2A2.A.A3.A.A.A.A3.A68.2A57.3A$4139.2A
3.2A6.2A6.2A9.A.2A6.A2.A$4142.A4.A2.A4.A2.A4.A2.A.A2.A.A8.A2.2A2.A.A.
A.A3.A.A.A7.A22.2A2.2A65.2A20.3A.A2.A$4142.A4.A2.A4.A2.A4.A2.A3.2A2.A
4.3A27.3A22.A.A2.A66.A7.2A9.A.3A$2635.A1508.2A6.2A6.2A11.2A4.A7.A.A.A
3.A.A.A.A2.2A2.A29.A64.3A8.2A8.A6.3A$2635.4A1496.2A11.2A6.2A6.2A40.A
2.A21.2A2.A5.2A60.A20.2A$2637.2A1496.A2.2A3.A2.A4.A2.A4.A2.A4.A19.A3.
A.A.A.A3.A.A2.2A.A21.A.A3.A.A2.A$2640.A1495.A.A2.A.A2.A4.A2.A4.A2.A4.
A15.2A22.A.2A24.A5.A85.2A$2635.6A1494.2A.A9.2A6.2A6.2A3.2A12.A.A.A.A.
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16.A26.4A.A5.2A32.A.2A$4101.A.A2.A43.A2.A.A31.3A9.3A11.A.A2.3A39.A$
4099.A.3A2.3A.37A.3A2.3A.A10.4A28.A23.A35.A$4098.A.A2.5A2.2A.31A.2A2.
5A2.A.A13.A12.4A28.2A4.A.A$4097.A2.A.A4.2A.A.A31.A.A.2A4.A.A2.A9.3A.A
10.A14.3A15.A5.A2.A4.A16.2A8.3A6.A$4098.2A2.A7.A35.A7.A2.2A12.A.A2.2A
5.A.3A10.A3.A21.2A4.2A16.4A.A8.A3.2A$4099.A.A2.4A3.2A.29A.2A3.4A2.A.A
12.A2.A.A.A2.A2.A.A11.A5.A44.A.A2.3A.A4.A$4099.A.2A.A.A2.3A2.2A.23A.
2A2.3A2.A.A.2A.A14.A2.A.A.A.A.A2.A10.A.A.A.A24.3A2.A.A21.A4.A.3A2.A.A
$4097.A.A3.2A.A.A2.2A.A.A23.A.A.2A2.A.A.2A3.A.A14.A2.A.A.A2.A11.2A.A.
A.2A18.2A5.A.4A16.2A3.A8.A.4A$4097.2A.2A3.2A.2A4.A27.A4.2A.2A3.2A.2A
16.A2.A2.A12.A2.2A.2A2.A17.2A9.2A16.A6.3A8.2A$4100.A.2A4.A.2A3.2A.21A
.2A3.2A.A4.2A.A21.A.A14.2A7.2A$4100.A2.A.2A2.2A2.3A2.2A.15A.2A2.3A2.
2A2.2A.A2.A102.A$4101.A.A.A6.A2.2A.A.A15.A.A.2A2.A6.A.A.A103.A$4102.A
2.A3.2A.2A4.A19.A4.2A.2A3.A2.A103.2A.A$4105.2A2.2A.A.2A3.2A.13A.2A3.
2A.A.2A2.2A105.A3.2A$4113.2A2.3A2.2A.7A.2A2.3A2.2A75.2A35.A.A$4116.A
2.2A.A.A7.A.A.2A2.A78.2A35.A2.A$4113.2A.2A4.A11.A4.2A.2A55.A4.A30.A4.
A16.2A$4113.2A.A.2A3.2A.5A.2A3.2A.A.2A53.2A.4A.2A26.2A.4A.2A$4117.2A
2.3A2.2A.2A2.3A2.2A59.A4.A30.A4.A25.2A$4120.A2.2A.A3.A.2A2.A128.A2.A$
4117.2A.A5.A.A.A5.A.2A123.A2.A.A$4118.A2.3A3.A.A3.3A2.A128.A$4118.A3.
A2.A.A.A.A2.A3.A124.A.2A$4115.2A.A.A3.2A.A.A.2A3.A.A.2A76.A2.A42.A$
4115.A.2A.2A6.A6.2A.2A.A74.A.A2.A.A$4217.2A2.2A$4195.A2.A4.A2.A26.A2.
A4.A2.A$4193.3A2.6A2.3A22.3A2.6A2.3A9.2A$4195.A2.A4.A2.A12.2A12.A2.A
4.A2.A10.A$4219.2A37.A$4254.A3.A$4253.A.A2.A$4253.A2.A$4214.A10.A28.
2A$4214.A10.A12.A25.A$4213.A.A8.A.A10.A.A23.A.A$4214.A10.A12.A25.A$
4214.A10.A17.A15.A$4214.A10.A10.5A2.3A11.3A2.5A$4214.A10.A9.A4.A5.A9.
A5.A4.A$4213.A.A8.A.A7.A2.A7.2A9.2A7.A2.A$4214.A10.A5.A2.A.2A27.2A.A
2.A$4214.A10.A4.A.A.A5.A21.A5.A.A.A$4231.A2.A4.A.A19.A.A4.A2.A$4234.
2A2.A2.A6.A5.A6.A2.A2.2A$4239.2A6.3A3.3A6.2A30.A8.2A4.2A.A6.2A.A6.A.
2A$4293.A.A.2A5.A4.A.2A6.A.2A6.2A.A$4293.A.2A.A4.A3.2A4.2A2.2A4.2A2.
2A$4291.2A10.2A2.A5.A3.A5.A4.A$4239.2A21.2A28.A.A.2A10.A5.A3.A5.A2.A$
4234.2A2.A2.A19.A2.A2.2A23.A.A2.A5.2A2.2A4.2A2.2A4.2A2.2A38.A3.A$
4231.A2.A4.A.A19.A.A4.A2.A21.A2.A7.A4.2A.A6.2A.A6.A.2A34.5A$4230.A.A.
A5.A21.A5.A.A.A21.2A7.A5.A.2A6.A.2A6.2A.A36.A$4231.A2.A.2A27.2A.A2.A
31.2A8.2A2.2A4.2A8.2A33.A.A$4234.A2.A27.A2.A44.A3.A5.A10.A34.A$4235.A
4.A3.2A11.2A3.A4.A35.2A9.A3.A5.A8.A33.5A$4236.5A4.A11.A4.5A37.A8.2A2.
2A4.2A8.2A32.A3.A$4243.A.A.A7.A.A.A43.A5.2A.A6.2A.A6.A.2A$4238.A3.A.A
.2A7.2A.A.A3.A38.2A4.A.2A6.A.2A6.2A.A$4237.A.A2.A.A13.A.A2.A.A103.A$
4238.A4.2A13.2A4.A103.3A$4368.3A2$4266.A14.A86.3A$4265.A.A7.A4.A.A$
4266.A6.2A.2A3.A50.2A16.2A16.A.A$4275.A57.A16.A17.A.A$4255.2A6.2A18.
2A6.2A40.A.A12.A.A18.A$4253.A4.A2.A4.A14.A4.A2.A4.A39.2A12.2A18.A.A$
4253.A4.A2.A4.A14.A4.A2.A4.A44.A4.A23.A.A$4253.A4.A2.A4.A8.A5.A4.A2.A
4.A42.2A.4A.2A22.A$4255.2A6.2A8.2A.2A5.2A6.2A46.A4.A$4275.A58.2A12.2A
$4333.A.A12.A.A$4333.A16.A18.A$4255.2A6.2A18.2A6.2A39.2A16.2A16.3A$
4253.A4.A2.A4.A8.A5.A4.A2.A4.A48.A24.3A$4253.A4.A2.A4.A6.2A.2A3.A4.A
2.A4.A46.A2.A$4253.A4.A2.A4.A8.A5.A4.A2.A4.A46.A2.A23.3A$4255.2A6.2A
18.2A6.2A49.A483.A$4332.2A16.2A16.A.A454.A$4333.A16.A17.A.A454.3A$
4275.A57.A.A12.A.A18.A$4255.2A6.2A8.2A.2A5.2A6.2A41.2A12.2A18.A.A452.
A$4253.A4.A2.A4.A8.A5.A4.A2.A4.A44.A4.A23.A.A451.A$4253.A4.A2.A4.A14.
A4.A2.A4.A8.A11.A21.2A.4A.2A22.A452.3A$4253.A4.A2.A4.A14.A4.A2.A4.A7.
A.A9.A.A22.A4.A$4255.2A6.2A18.2A6.2A10.A11.A18.2A12.2A470.A$4275.A57.
A.A12.A.A468.A$4266.A6.2A.2A3.A19.5A7.5A15.A16.A18.A449.3A$4265.A.A7.
A4.A.A17.A4.A7.A4.A13.2A16.2A16.3A403.A$4266.A14.A17.A2.A13.A2.A48.3A
402.A43.A$4296.A2.A.2A13.2A.A2.A450.3A40.A$4295.A.A.A5.A7.2A4.A.A.A
44.3A445.3A$4296.A2.A4.A.A5.A2.A3.A2.A490.A$4299.2A2.A2.A6.A.A2.2A48.
A.A441.A$4287.A16.2A8.A53.A.A398.A42.3A$4286.A.A19.2A59.A398.A40.A$
4308.A.A57.A.A397.3A37.A$4279.2A3.A3.2A19.A58.A.A437.3A$4279.2A2.A5.A
22.3A54.A435.A$4284.A.A13.A.A2.A5.A492.A$4286.2A12.3A.A.2A3.A3.A10.A
477.3A$4280.2A17.A6.A4.A2.A.A9.A$4269.2A8.A2.A17.A5.2A5.A.A2.A6.A.A
41.A$4267.A.A9.A.A4.A27.A3.A7.A41.3A$4266.A5.A7.A5.A12.2A5.A11.A7.A
41.3A431.A$4267.A3.2A2.3A8.A13.A6.A7.3A8.A27.A447.A.A$4299.2A.A.3A19.
A26.A.A12.3A431.2A$4269.A.A16.2A3.2A6.A2.A.A18.A.A25.2A443.A$4270.A
12.A3.A2.A2.2A31.A41.A.A427.A.A$4274.A7.3A3.A.A35.A41.A.A427.2A$4273.
A.A6.A.A4.A63.A15.A424.A$4269.2A2.A2.A16.A59.A14.A.A423.A.A$4269.2A3.
2A16.A.A58.A14.A.A423.2A$4369.A420.A$4277.A8.3A2.2A3.A10.A2.A4.A2.A
34.A436.A.A$4277.A13.A5.A7.3A2.6A2.3A32.A436.2A$4277.A5.2A9.A.A10.A2.
A4.A2.A34.A$4282.A.A8.2A32.2A40.A417.A$4282.3A41.2A25.A14.3A416.A.A$
3730.3A543.2A50.A24.A14.3A416.2A$3729.A3.A543.A.A57.A4.A10.A$3713.3A
3.2A8.A4.A539.A5.A2.2A50.2A.4A.2A23.3A413.A$3718.4A7.A.A2.A539.2A3.A
3.2A52.A4.A10.A430.A.A$3717.2A3.A6.A.A.2A618.A14.A.A413.2A$3716.A.A.
2A4.A2.A.2A542.A.A75.A14.A.A$3726.A2.2A545.A92.A411.A$3705.2A6.A13.3A
623.A14.A.A410.A.A$3705.2A6.A2.A21.3A612.A14.A.A405.A4.2A$3713.3A22.A
2.A611.A15.A24.2A10.2A368.A.A$3737.A4.A586.2A63.2A10.2A368.2A$3737.3A
2.A586.2A22.A$3736.A5.A610.A40.A12.A365.A$3735.7A599.2A.2A7.A15.A23.A
.A10.A.A364.A.A$3735.A606.A.A23.3A22.A2.A8.A2.A364.2A$3697.2A36.A594.
A11.A.A8.A14.3A23.A2.A6.A2.A16.2A11.2A$3697.2A37.2A591.A.A7.3A3.3A5.A
24.2A44.2A3.A3.A3.2A331.A$4328.A3.A7.2A3.2A6.A14.3A7.2A14.A2.A3.A2.A
2.A21.A3.A336.A.A$4329.3A10.3A49.2A4.A.A3.2A21.A3.A336.2A$3728.A598.
2A3.2A19.A14.A.A32.A19.A15.A$3728.A613.3A8.A14.A.A15.A15.A19.A.A13.A.
A326.A$3728.A611.2A3.2A6.A15.A14.3A12.A23.A4.A5.A4.A327.A.A$3726.2A
591.A19.3A3.3A20.A.A12.A14.A28.3A3.3A331.2A$3689.2A34.3A591.A.A20.A.A
8.A14.A.A12.2A9.2A3.A.A4.2A$3689.2A35.2A592.A.A19.A.A8.A15.A15.A8.A2.
A2.A3.A2.A$4307.2A11.A2.A17.2A.2A7.A29.3A31.A27.A$3756.3A548.2A11.A.A
4.2A53.A11.A2.A6.A2.A8.A.A25.A.A$3755.A3.A559.A.A4.2A25.A29.A9.A2.A8.
A2.A3.2A3.A27.A3.2A$3755.A4.A558.A8.A24.A15.A14.A8.A.A10.A.A3.2A35.2A
$3728.A26.A.A2.A592.A14.3A14.A8.A12.A20.2A3.2A$3727.A.A25.A.A.2A563.A
8.A34.3A15.A32.A9.A3.A9.A$3726.A2.A22.A2.A.2A566.2A4.A.A19.A33.A6.2A
10.2A10.2A6.A9.A6.2A306.A$3752.A2.2A567.2A4.A.A11.2A7.A14.3A17.A5.2A
10.2A5.3A3.A6.2A7.2A6.A3.3A301.A.A$3753.3A573.A2.A11.2A7.A35.A361.2A$
3689.A.A7.3A25.A2.A33.3A563.A.A35.A.A19.A$3690.A5.3A26.3A.2A33.A2.A
563.A.A19.A14.A.A14.A5.A$3696.3A25.A2.2A34.A4.A564.A19.A15.A15.A6.A
20.3A3.A6.2A7.2A6.A3.3A$3697.A26.A2.A4.2A29.3A2.A584.A14.A.A14.A7.A
24.2A6.A9.A6.2A$3725.A.A4.A3.2A24.A5.A599.A.A23.A24.A9.A3.A9.A$3731.A
6.A7.3A12.7A551.2A3.2A27.A15.A15.A9.A32.2A3.2A$3729.5A3.A5.3A15.A559.
3A29.A31.A10.A15.2A35.2A$3708.A23.A3.A6.3A15.A558.A3.A28.A31.A11.A14.
2A3.A27.A3.2A$3708.A20.A2.A11.A17.2A557.A.A74.A17.A.A25.A.A$3708.A21.
2A590.A30.A15.A15.A13.A17.A27.A$3706.2A645.A14.3A14.A14.A$3705.3A645.
A14.3A14.A15.A340.A$3706.2A694.A24.3A3.3A18.2A3.2A281.A.A$3756.A565.
2A29.A14.3A14.A17.A19.A4.A5.A4.A13.A2.A.A2.A280.2A$3756.A565.2A29.A
31.A18.A17.A.A13.A.A8.2A3.2A3.2A3.2A$3756.A596.A14.A.A14.A19.A10.A6.A
15.A9.A15.A$3754.2A612.A.A35.A9.3A10.A3.A12.2A.A15.A.2A$3708.A44.3A
597.A15.A15.A21.A6.2A3.A9.A3.A11.A.A.2A13.2A.A.A$3707.A46.2A26.3A568.
A14.A.A14.A22.A6.A.A.A4.2A3.A3.A3.2A6.A.A19.A.A$3708.A72.A3.A567.A14.
A.A14.A23.A5.A8.2A11.2A4.2A2.A19.A2.2A260.A$3781.A4.A582.A40.A5.2A2.A
21.A4.2A17.2A4.A259.A.A$3728.2A51.A.A2.A566.A31.A25.A7.2A21.5A6.3A3.
3A6.5A259.2A$3728.2A51.A.A.2A505.3A.3A.3A.3A.3A.3A.3A34.A31.A26.A33.A
6.A.A3.A.A6.A247.A$3728.A27.A21.A2.A.2A568.A31.A27.A26.4A9.3A3.3A9.4A
241.A.A$3755.A22.A2.2A586.A44.A12.A12.A2.A27.A2.A241.2A$3756.A22.3A
507.A31.A31.A14.3A14.A29.A.A8.A2.A$3715.A.A7.3A561.A3.2A21.2A3.A31.A
14.3A14.A30.2A5.A2.A2.A$3716.A5.3A564.A3.A.A19.A.A3.A31.A31.A36.A.A.A
.A.2A7.A7.3A15.3A7.A$3722.3A569.2A19.2A51.3A52.A2.A2.A8.A.A6.A.A15.A.
A6.A.A$3723.A565.A31.A31.A31.A40.A5.A5.A.A6.3A15.3A6.A.A$4289.A31.A
31.A14.A.A14.A41.5A7.A35.A$4289.A31.A31.A14.A.A14.A18.A7.A$3739.2A17.
A610.A33.A.A5.A.A15.A9.A35.A$3734.A3.3A17.2A529.A31.A31.A14.A.A14.A
18.A7.A15.A.A7.A.A6.3A15.3A6.A.A$3734.A554.A31.A31.A14.A.A14.A43.A8.A
.A6.A.A15.A.A6.A.A$3734.A24.2A528.A31.A31.A15.A15.A53.A7.3A15.3A7.A$
3732.2A$3731.3A43.2A510.A31.A31.A31.A13.A17.A$3732.2A43.2A510.A31.A
31.A31.A13.A17.A22.A2.A27.A2.A$4289.A31.A31.A15.A15.A13.A17.A22.4A9.
3A3.3A9.4A28.A$3764.A603.3A24.2A23.2A24.A6.A.A3.A.A6.A33.A.A$3763.A.A
523.A31.A31.A14.3A14.A8.A.A7.3A3.3A7.A.A19.5A6.3A3.3A6.5A$4289.A31.A
31.A31.A8.A8.A3.A.A3.A8.A19.A4.2A17.2A4.A27.A3.2A$3734.A554.A31.A31.A
14.3A14.A7.2A27.2A19.2A2.A19.A2.2A27.A5.A$3733.A711.A.A19.A.A30.A.A$
3734.A34.2A518.A31.A31.A14.A.A14.A14.2A13.2A28.A.A.2A13.2A.A.A32.2A6.
A$3769.2A518.A31.A31.A14.A.A14.A14.2A13.2A29.2A.A15.A.2A41.A$4289.A
31.A31.A31.A63.A15.A30.A5.2A4.3A$4364.2A7.2A18.2A27.2A25.2A3.2A3.2A3.
2A30.A11.2A$4289.A31.A31.A10.A9.A10.A8.A8.A3.A.A3.A8.A30.A2.A.A2.A32.
3A7.2A2.2A2.3A$4289.A31.A31.A11.9A11.A8.A.A7.3A3.3A7.A.A31.2A3.2A33.
2A6.A.2A4.3A$4289.A31.A31.A8.3A2.5A2.3A8.A9.2A23.2A72.2A2.3A.A.A5.3A$
3741.A.A7.3A608.A2.A2.3A2.A2.A22.A17.A78.3A$3742.A5.3A10.2A526.A31.A
31.A9.2A9.2A9.A13.A17.A78.3A6.A$3748.3A10.2A526.A31.A31.A31.A13.A17.A
46.A14.A24.A.A$3749.A539.A31.A31.A31.A77.A.A4.A7.A.A$4464.A3.2A.2A6.A
22.A3.2A$4289.A31.A31.A31.A84.A30.A5.A$4289.A31.A31.A31.A18.A7.A89.A.
A$4289.A31.A31.A31.A17.A.A5.A.A90.2A$4294.2A30.2A19.2A30.2A23.A7.A
111.A2.2A.A3.A$3753.2A534.A3.A.A25.A3.A.A19.A.A3.A25.A.A3.A84.A51.3A
2.A.2A3.3A$3753.2A534.A3.2A26.A3.2A21.2A3.A26.2A3.A34.A19.2A22.A3.2A.
2A6.A32.2A7.A15.A7.2A$4289.A31.A31.A31.A10.2A.A2.A.2A9.2A.A3.A.2A9.2A
.A4.A.2A16.A.A4.A7.A.A32.A7.2A5.3A5.2A7.A$4396.A8.A9.A9.A9.A10.A17.A
14.A33.A.A11.A3.A11.A.A$4397.2A4.2A11.2A5.2A11.2A6.2A45.2A21.2A11.2A.
2A11.2A$4292.3A.3A.3A.3A.3A.3A.3A5.3A.3A.3A.3A.3A.3A.3A5.3A.3A.3A.3A.
3A.3A.3A11.3A2.4A2.3A5.3A2.5A2.3A5.3A2.6A2.3A42.A$4394.A2.A6.A2.A5.A
2.A7.A2.A5.A2.A8.A2.A36.2A.2A.A4.2A9.A10.3A17.3A10.A$4395.2A8.2A7.2A
9.2A7.2A10.2A35.A2.A.A.A5.A10.3A9.A19.A9.3A$4321.A31.A129.2A4.A8.A11.
A13.3A5.3A13.A$4316.2A3.A31.A3.2A138.2A10.2A14.A7.A14.2A$4315.A.A3.A
31.A3.A.A93.2A$4315.2A41.2A93.2A42.2A$4321.A31.A127.A10.A3.A.A13.A33.
A$4321.A31.A98.4A25.3A7.3A3.A14.2A31.2A$4321.A31.A56.2A4.2A.A6.2A.A6.
2A.A11.A4.A27.A6.A.A4.3A11.A33.A$4411.A4.A.2A6.A.2A6.A.2A10.A6.A25.A.
A14.A6.2A18.2A.2A18.2A$4321.A31.A56.A3.2A4.2A2.2A4.2A2.2A4.2A7.A8.A
24.2A21.A.A18.A3.A18.A.A$4321.A31.A56.2A2.A5.A3.A5.A3.A5.A5.2A.A8.A.
2A44.A21.3A21.A$4321.A31.A41.2A18.A5.A3.A5.A3.A5.A4.2A.A8.A.2A21.2A
20.2A7.A15.A.A11.A7.2A$4396.A13.2A2.2A4.2A2.2A4.2A2.2A4.2A7.A8.A24.A
8.A4.2A15.2A15.2A10.2A$4321.A31.A42.A.A12.A4.2A.A6.2A.A4.A5.A9.A6.A
27.A5.A.A.A2.A15.A9.2A18.A$4321.A31.A43.2A11.A5.A.2A6.A.2A5.A5.A9.A4.
A27.2A4.A.2A.2A12.2A10.2A2.A10.2A10.2A2.2A$4321.A31.A56.2A8.2A2.2A4.
2A2.2A4.2A10.4A34.A14.2A.A.A10.A.2A10.A.A10.A.A2.A$4420.A3.A5.A3.A5.A
48.2A15.A.A14.A11.A14.A.A$4321.A31.A56.2A9.A3.A5.A3.A5.A11.2A50.A2.A.
A10.A.A10.2A.A10.A.A.2A$4321.A31.A57.A8.2A2.2A4.2A2.2A4.2A11.2A50.2A
2.2A10.2A10.A2.2A10.2A$4321.A31.A56.A5.2A.A6.2A.A6.2A.A53.A20.A18.2A
9.A$4410.2A4.A.2A6.A.2A6.A.2A52.A.A19.2A10.2A15.2A$4321.A31.A139.A11.
2A7.A11.A.A15.A7.2A$4321.A31.A96.2A3.2A31.2A16.A21.3A21.A$4321.A31.A
96.A.A.A.A31.A2.5A10.A.A18.A3.A18.A.A$4326.2A19.2A102.A3.A33.2A5.A.2A
7.2A18.2A.2A18.2A13.3A3.3A$4321.A3.A.A19.A.A3.A121.A15.2A3.A.2A12.A
33.A$4321.A3.2A21.2A3.A96.2A3.2A17.A.A14.A4.A15.2A31.2A16.A4.A.A4.A$
4321.A31.A91.2A2.A.A3.A.A2.2A12.A.A15.3A.A15.A33.A16.A4.A.A4.A$4445.A
.A.2A5.2A.A.A11.2A.A.2A14.2A67.A4.A.A4.A$4446.A13.A15.2A.A85.3A3.3A$
4324.3A.3A.3A.3A.3A.3A.3A121.A.2A33.2A14.A7.A14.2A$4446.A13.A14.A34.A
13.3A5.3A13.A14.3A7.3A$4445.A.A.2A5.2A.A.A10.3A32.3A9.A19.A9.3A5.3A2.
A4.A3.A4.A2.3A$4445.2A2.A.A3.A.A2.2A7.A.A13.A21.A10.3A17.3A10.A10.A4.
A3.A4.A$4450.2A3.2A10.A3.A.2A10.A69.A4.A.A4.A3.A4.A.A4.A$4465.3A.A.A.
2A8.A2.A27.2A11.2A.2A11.2A10.A4.A17.A4.A$4451.A3.A8.A4.2A10.2A30.A.A
11.A3.A11.A.A9.A4.A2.3A7.3A2.A4.A$4450.A.A.A.A8.4A16.A.A25.A7.2A5.3A
5.2A7.A11.3A19.3A$4450.2A3.2A11.A14.A.A.A6.4B14.2A7.A15.A7.2A$4467.A
19.A7.4B23.3A3.2A.A2.3A20.3A19.3A$4467.2A27.4B24.A3.A.2A2.A20.A4.A2.
3A7.3A2.A4.A$4497.4B54.A4.A17.A4.A$4498.4B41.2A2.2A6.A4.A.A4.A3.A4.A.
A4.A$4478.A15.A4.4B40.A.A2.A13.A4.A3.A4.A172.A$4477.A.A13.A.A4.4B43.A
9.3A2.A4.A3.A4.A2.3A166.A$4456.2A.2A16.A.A13.A.A5.4B39.A18.3A7.3A172.
3A$4457.A.A.A13.3A.2A11.2A.3A4.4B9.2A19.2A5.A2.A.A$4457.A4.A11.A23.A
4.4B6.A.A12.2A5.A.A5.2A2.2A16.3A3.3A$4454.2A.A5.A11.3A.2A11.2A.3A6.4B
4.A5.A9.A.A4.A17.A9.A4.A.A4.A$4454.2A.A6.A12.A.2A11.2A.A9.4B4.A3.2A
11.A3.2A.A14.A.A8.A4.A.A4.A167.A$4457.A.A5.A18.A3.A17.4B18.A.2A5.3A
11.A3.A7.A4.A.A4.A166.A$4457.A.2A3.2A19.A.A19.4B4.A.A8.3A5.A.A3.A11.A
3.A185.3A$4458.A25.2A.2A14.2A3.4B4.A8.A3.A.A5.3A13.A3.A7.3A3.3A$4459.
7A16.A2.A.A2.A8.2A.A.A4.4B13.3A5.2A.A16.A3.A$4465.A15.A.A.A.A.A.A7.2A
.A7.4B14.A.2A3.A10.2A.A5.A.A$4461.2A18.2A2.A.A2.2A10.A8.4B15.A4.A.A8.
A.2A6.A$4461.2A22.A.A14.A2.A6.4B12.A.A5.2A$4486.A16.2A.A6.4B11.2A17.
3A$4506.A7.4B28.A.A.A.2A9.A$4506.2A7.4B27.A3.A.2A9.A$4516.4B23.2A.A3.
A11.A.A$4517.4B16.2A4.2A.A3.A12.A$4481.2A25.2A8.4B15.2A8.3A13.A$4482.
A25.A10.4B40.A$4482.A.A7.A13.A.A11.4B11.4A8.2A.A12.A$4483.2A5.A2.A5.A
6.2A8.A4.4B6.2A.A4.A7.A.2A11.A.A$4493.A5.2A14.A.A4.4B5.2A.A2.A.A16.2A
5.A$4489.A10.2A14.A6.4B7.A3.2A.2A12.A.A5.A$4489.A3.2A4.2A23.4B6.A.A2.
A.2A11.B$4490.5A19.5A6.4B6.4A14.A.A$4511.A.A5.A.A4.4B22.B.B$4457.2A
31.5A16.2A.A3.A.2A5.4B4.2A14.A.A16.2A$4456.A2.A29.A3.2A4.2A13.A3.A9.
4B3.2A3.3B7.B.B12.2A2.A2.A$4455.A4.A28.A10.2A12.A3.A10.4B16.A.A10.A2.
A4.A.A$4454.A6.A31.A5.2A14.3A12.4B6.2A.B4.A.B10.A.A.A5.A$4454.A6.A21.
2A5.A2.A5.A6.2A23.4B3.B.A.AB4.2A12.A2.A.2A$4455.A4.A21.A.A7.A13.A.A6.
2A.A2.2A4.A4.4B.2B2.A.B14.A6.A2.A$4456.A2.A22.A25.A6.A.2A3.A2.3A5.10B
3.6A4.A.A7.A4.A$4457.2A22.2A25.2A12.A.A9.9B2.A6.A4.A.A7.5A$4496.2A.A
23.A.A8.9B3.2A2.2A5.A$4496.A.2A24.A.A6.10B4.A2.A18.A$4521.3A2.A5.4B.
6B3.A4.A16.A.A$4497.3A7.2A7.2A3.A4.2A3.4B3.4B3.A6.A16.A$4470.4B22.A3.
A6.A.A2.A2.A.A12.4B10.A8.A8.2A11.2A6.2A8.2A5.2A7.2A38.2A$4453.2A5.2A
8.4A2B11.A8.A3.A8.4A2.A13.4B10.A10.A7.A.A9.A2.A4.A2.A6.A2.A3.A2.A6.A.
A6.2A.2A3.2A5.2A4.A3.A5.2A8.A3.A$4453.2A5.2A7.A4BAB2A9.3A7.A.A7.A.A2.
A2.A.A10.4B10.A12.A7.2A9.A.A5.A.2A6.A.2A3.A2.A7.2A7.A.A4.A7.A3.A.A.A.
A13.A.A.A.A$4469.A4BA3BAB10.A4.A.A.A.A5.2A7.2A9.4B10.A4.3B7.A8.2A5.2A
.A5.2A.A4.2A.A7.2A.2A7.2A5.A.A5.3A.3A4.A.A.A.A4.4A5.A.A.A.A$4468.3B.
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A6.A.A3.2A.2A6.A.A7.2A.2A4.A4.A3.2A.A.A.2A$4468.B2A4BA2BAB10.2A33.4B
10.A4.B.A.A6B3.A7.2A3.A.A8.2A6.2A10.A2.A7.A16.A17.2A2.2A7.A$4467.BA2B
AB.BA2BAB11.2A12.A7.3B8.4B10.A5.B.2A.6B4.A12.A30.2A$4467.BA2BA4B2AB
11.A2.A7.2A2.A.A5.4B6.4B10.A11.6B5.A$4467.BA2B.B2A.3B11.A2.2A6.A.A8.B
.2AB5.4B10.A10.8B6.A.A$4467.BA3BA4BA13.2A.3A11.2A2.BA.A2B3.4B10.A12.
6B8.2A$4453.3A3.3A7.2ABA4BA17.A.A4.A9.B.A.3B.4B10.A14.4B$4452.A2.A3.A
2.A8.2B4A20.A3.A6.A4.10B10.A14.6B19.2A9.A27.2A25.2A4.A$4452.2A.A3.A.
2A34.2A2.2A.A.A6.9B10.A14.8B7.2A3.2A3.A2.A6.3A10.2A4.2A3.2A3.A2.A6.2A
9.A7.A2.3A$4506.A6.9B7.A.A14.4B2.4B6.A.A.A.A4.2A6.A3.2A4.2A2.A.A3.A.A
.A.A3.4A5.A2.A6.5A5.A.A$4513.10B6.2A14.4B4.4B7.A.A14.A.A.A.A3.A5.A5.A
.A13.A.2A.A4.A5.A5.A.A$4501.A.A9.6B.4B20.4B6.4B4.A.A.A.A4.4A5.2A.A.A
4.5A5.2A.2A4.4A4.A4.A5.5A7.A.A$4502.2A10.4B3.4B4.2A12.4B8.4B3.2A3.2A
3.A4.A8.A7.A16.A2.A3.2A4.2A6.A6.3A2.A$4502.A2.B16.4B3.A.A10.4B10.4B
12.2A2.2A61.A4.2A$4505.2B16.4B5.A8.4B12.4B$4505.3B16.4B5.A6.4B14.4B$
4505.4B16.4B5.A4.4B16.4B$4533.2A$4577.A.2A$4543.A10.2A19.3A.2A$4517.A
24.A.A8.A.A18.A$4474.A40.2A25.A.A7.A.A20.3A.2A$4474.2A8.2A30.2A25.A7.
A.A23.A.A24.A$4475.2A7.2A16.A37.3A8.2A24.A.A21.A.A.A$4453.2A15.2A2.2A
20.A6.2A35.A21.2A14.A22.2A2.A$4453.2A41.3A3.2A59.A41.2A$4499.A62.A$
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2A44.A12.A.A6.A.A7.2A28.A$4474.2A8.2A56.A.A6.A.A8.A.A26.A15.2A$4474.A
68.A6.A.A10.A26.A8.2A6.A.A8.A$4540.3A8.A8.3A27.2A7.A.A8.A6.A.A$4531.
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A10.A19.A.A16.A.A11.2A$4518.A7.2A4.A9.A.A8.A23.A15.A.A12.A$4516.2A9.A
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4522.A2.A.A.A10.A9.A19.A32.A.A8.A$4522.4A.2A21.2A17.A33.2A8.A.A$4526.
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4542.A12.A18.A2.A5.A.A12.A.A$4513.3A27.A10.A19.A2.A5.2A.A13.A185.A$
4513.A26.3A10.A21.2A9.A13.2A8.2A174.2A$4514.A25.A11.A33.2A21.A.A$
4502.3A44.A.A57.A$4504.A44.2A56.A.A$4503.A59.A43.2A$4543.2A17.A.A8.A$
4542.A.A18.A.A6.A.A$4542.A6.A.2A.2A8.A.A6.A.A10.2A$4543.A5.2A.2A.A9.A
9.A9.A2.A27.2A$4540.3A32.2A9.A2.A25.A.A$4540.A46.2A25.A.A10.2A$4514.
2A99.A10.A2.A$4514.A.A34.2A.2A71.A.A$4514.A34.A2.2A.A72.A$4540.2A7.2A
$4540.A28.2A$4541.A27.A.A31.A$4542.A27.A.A29.A.A$4543.A10.2A15.2A6.2A
22.A.A$4540.3A8.2A2.A23.A.A22.A$4540.A8.A2.2A27.A40.2A$4549.2A29.A41.
A.A.A8.2A$4580.2A43.2A9.A$4597.2A34.3A$4540.2A55.A35.A$4540.A.A7.2A
46.A$4543.A6.A2.2A42.2A$4544.A6.2A2.A$4541.3A10.2A53.2A29.2A178.A$
4541.A67.A2.A27.A.A177.2A$4611.2A28.A2$4554.2A$4541.A.A9.A.A$4541.2A.
A5.2A2.A$4544.A5.A.2A$4541.3A69.2A$4541.A71.A.A$4597.2A15.2A$4554.A
41.A2.A$4549.2A2.A.A41.2A$4541.2A.2A3.A.A2.A$4542.A.2A6.2A$4542.A$
4541.2A2$4549.2A$4549.A.A2.2A41.2A4.2A.A4.A.2A6.2A.A24.A$4543.2A7.A2.
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22.A$4541.A.A.A51.2A2.A5.A8.A2.A5.A$4542.A.A57.A5.A6.A4.A5.A$4543.A
53.2A2.2A4.2A6.2A2.2A4.2A$4550.2A46.A4.2A.A6.2A4.A5.A$4550.A46.A5.A.
2A7.A5.A5.A15.2A$4551.A2.2A41.2A8.2A4.A5.2A4.2A15.2A$4544.A7.A2.A51.A
5.2A4.A5.A$4543.A.A7.2A42.2A9.A2.2A7.A5.A$4543.2A53.A8.2A3.A6.2A4.2A$
4541.2A54.A5.2A.A4.A9.2A.A$4540.A.A54.2A4.A.2A4.2A8.A.2A$4541.A12.2A$
4555.A$4552.3A$4551.A$4550.A.A$4551.A4$4554.2A$4555.A$4552.3A$4551.A$
4552.A$4551.2A8$4358.2A$4357.A.A$4357.A$4356.2A43$4704.2A6.2A6.A.A6.
2A6.A8.2A9.A7.A26.A$4705.2A6.3A4.3A6.A6.4A6.2A9.A6.2A4.5A6.4A6.3A7.3A
$4705.A22.2A17.A7.3A5.2A16.A10.A9.A$4802.A7$4756.2A7.A26.A$4756.2A6.
2A5.4A6.3A7.2A$4764.A16.A10.A9$4772.3A6.2A$4781.A9$4773.2A10$4774.A
59$4241.3A$4243.A$4242.A26$4629.2A$4630.A$4566.2A15.2A$4567.A16.A510$
4046.A12.A$4045.A.A10.A.A$4044.2A.2A8.2A.2A$4044.2A14.2A$4046.A12.A$
4046.4A6.4A$4046.A2.2A4.2A2.A$4047.2A2.A2.A2.2A$4048.2A.4A.2A$4049.A.
A2.A.A$4050.A4.A2$4049.A6.A$4047.2A.2A2.2A.2A$4048.A8.A$4048.2A6.2A
31$4060.A5.A$4059.3A3.3A$4058.A2.A3.A2.A$4057.3A7.3A$4058.A.A5.A.A$
4060.2A3.2A$4056.A4.A3.A4.A$4061.A3.A$4056.2A3.A3.A3.2A$4058.A2.A3.A
2.A$4060.A5.A!
If anyone wants to start a new thread for this project, I can post a later but even less finished version -- might give people some more ideas.

Maybe the timeline could be rebuilt -- possibly in LifeSuper, now that that's available? -- but keeping in mind that it should still look good when moved back into two-state Life. Maybe it should have labels for every year, not just once every five years.

The problem I ran into was that when I wanted spaceships to make cameo appearances in the correct decade of the timeline, I had to reserve a lot of empty lanes stretching all the way back to T=0. The longer the timeline extended, the harder it became to find room for everything and still start the pattern at T=0. Probably that was a hopeless idea, and what we should do is build separate sub-timelines for every decade or half-decade, and string them together with the NW-traveling "narrator glider" from the original R-pentomino explosion.

Anyway, getting back to the original topic: the above timeline does give some hints as to how to define Conway's Life eras --

1969: Early Explorations
1970s: The Age of Oscillators
1980s: Shuttles and Guns
early 1990s: a minor explosion of agars
early mid-1990s: The First Age of Spaceships
1995-98: The Age of the Herschel

I don't know what to do around 2000-2008 -- seems like it was full of disconnected but impressive constructions like the Caterpillar, Paul Rendell's Turing Machine, and Paul Chapman's prototype universal constructor. The Age of Ambition, or something.

2009-2010: The Age of the Megapattern (pi calculator, Osqrtlogt, Gemini, several others)
2013-2015: The Age of the Micropattern (Snark, syringe)
2015-2020: The Age of Glider Synthesis

Maybe there's an "Age of Elementary Conduits" in there too, but that's also more or less 2015-2020, except Sergei Petrov (Guam) really got it started in late 2011 through 2013.
MathAndCode wrote:
September 25th, 2020, 1:09 pm
I don't see why the timeline needs to be in Life. Sure, it would be interesting, but it seems to be creating more of a problem than it's worth. Also, it's not very conducive to stating when the age of p30 technology, Herschels, or anything began and ended.

I'll probably start a new thread for discussing this as well as the future of ConwayLife. What I mean by the future is figuring out where we are headed now. This would be useful because we could then figure out what types of patterns would be most-needed in five years or so and then work on them in advance. For example, if self-constructing spaceships continue to be somewhat popular, then something useful might be an oscillator constellation (preferably with an odd period because the universality of single-lane construction rests on the ability to hit blinkers with gliders with two different relative timings) that takes in glider signals then outputs them in at least two different directions depending on their timing because this would allow multiple tapes (such as one for construction and one for destruction) to be interspersed, which would allow the glider tape to be compressed spacewise if certain stable circuitry components have longer repeat times than other stable circuitry components.

Also, it seems that Herschel conduits are still relevant today. For example, the p364 gun that you gave involves the syringe.
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Re: The Past and Future of CGOL

Post by EvinZL » September 25th, 2020, 3:16 pm

I was kind of surprised the syringe wasn't included

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Re: The Past and Future of CGOL

Post by dvgrn » September 25th, 2020, 3:24 pm

EvinZL wrote:
September 25th, 2020, 3:16 pm
I was kind of surprised the syringe wasn't included
The (highly incomplete) timeline is still over fifteen years away from the correct time to introduce the syringe. It belongs near the "2015" label, way way off in the empty space far to the northwest.

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Re: The Past and Future of CGOL

Post by MathAndCode » September 25th, 2020, 4:05 pm

I'm posting this in the thread that bubblegum has made for this specific topic so we don't keep bringing the Cordership discussion thread offtrack.
dvgrn wrote:
September 25th, 2020, 1:58 pm
A timeline in the form of a Life pattern was the requirement for a documentary about Conway's Free Will Theorem that was in the works last year. It certainly isn't needed for your new thread -- though I might start my own thread for it, and see if anyone wants to help building something like that, a half-decade at a time.
Ah; I wasn't aware of that. We can at least collaborate on deciding what the important or representative patterns are, though.
dvgrn wrote:
September 25th, 2020, 1:58 pm
This is an interesting idea, but you may find it a bit difficult to implement, for a couple of reasons. Snarks can carry signals separated by only 43 ticks, but syringes need at least 74 ticks, or 78 to be safe.
So if the gliders are kept going around in a loop by Snarks, and the construction recipe is sent to the target while keeping a copy for constructing the next part by a syringe-based splitter at the forward end of the glider loop, then we can intersperse the recipes and use a timing-based switch (which I shall assume is based on the pentadecathlon for the purpose of stating timings). For stretches where neither recipe shoots gliders at blinkers, two gliders will come every 105 generations (90 if we get lucky), and the pentadecathlon will send every other glider to the syringe-based splitter. If one recipe shoots gliders at blinkers, then its gliders will each be separated either every 105 generations or every 120 (90 if we get lucky) generations, and the other tape can follow. If both tapes are shooting gliders at blinkers in their corresponding sections, then interpresersing will get slightly trickier but still manageable.
dvgrn wrote:
September 25th, 2020, 1:58 pm
And single-channel recipes can have gliders separated by any odd or even number of ticks, currently going as low as 90 ticks but occasionally much higher. So you can't use odd or even parity to sort gliders into multiple recipes, unless you also severely constrain the single-channel recipes you're using.
Whoops. I had forgotten that most universal construction doesn't require slow gliders. Since that's the case, unless the switch uses an undulating oscillator that lets gliders through unaffected for at least half of its period (as well as several other conditions), this will impose restrictions on the construction gliders that will make construction more inconvenient, which will increase the length of the construction recipe enough to counteract any improvements from interspersing. One of the other conditions necessary for this to be practical if construction isn't slow is for destruction to be slow, which is only likely if destruction uses bait still lives, in which case the destruction recipe will be short enough so that interspersing isn't worth it. It's possible that a computer program could write a destruction recipe that fits the constraints and is still shorter than the construction recipe, but that probably wouldn't be worth it. My idea will probably still be useful for slow construction, but I now realize that that will be very limited.
dvgrn wrote:
September 25th, 2020, 1:58 pm
There are, specifically, a lot of syringes and H-to-Gs in modern glider-synchronization circuitry. Often a Herschel conduit will turn out to be useful as a spacer between the syringe and the H-to-G, most often an R64, Fx77, L112, or L156. But it has turned out to be much easier to connect long distances with gliders or MWSSes than with long-chain Herschel tracks.
The boojum, rectifier, snark, and bandersnatch are all glider to glider conduits (although most Conway Enthusiasts would call those glider refliectors), so I'd argue that conduits are still very much relevant. Maybe we should split the conduit era into the Herschel conduit era from 1995 to 1998 and the glider conduit era from 1998 to 2013 or so.
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Re: The Past and Future of CGOL

Post by dvgrn » September 25th, 2020, 4:59 pm

MathAndCode wrote:
September 25th, 2020, 4:05 pm
The boojum, rectifier, snark, and bandersnatch are all glider to glider conduits (although most Conway Enthusiasts would call those glider refliectors), so I'd argue that conduits are still very much relevant. Maybe we should split the conduit era into the Herschel conduit era from 1995 to 1998 and the glider conduit era from 1998 to 2013 or so.
The Herschel Age lasted at least until 2010 -- Herschel conduits are what the Gemini spaceship was built with, and calcyman's pi and phi calculators, Spartan universal computer-constructor, Osqrtlogt, p1 megacell, etc. Early self-constructing stuff like the linear propagator and first spiral growth patterns were all Herschel-based circuitry too, since in 2014 the syringe hadn't come along yet.

The Glider Conduit Age can't possibly start before 2013, when the Snark was discovered, and it runs right through to today.

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Re: The Past and Future of CGOL

Post by MathAndCode » September 25th, 2020, 5:21 pm

dvgrn wrote:
September 25th, 2020, 4:59 pm
MathAndCode wrote:
September 25th, 2020, 4:05 pm
The boojum, rectifier, snark, and bandersnatch are all glider to glider conduits (although most Conway Enthusiasts would call those glider refliectors), so I'd argue that conduits are still very much relevant. Maybe we should split the conduit era into the Herschel conduit era from 1995 to 1998 and the glider conduit era from 1998 to 2013 or so.
The Herschel Age lasted at least until 2010 -- Herschel conduits are what the Gemini spaceship was built with, and calcyman's pi and phi calculators, Spartan universal computer-constructor, Osqrtlogt, p1 megacell, etc. Early self-constructing stuff like the linear propagator and first spiral growth patterns were all Herschel-based circuitry too, since in 2014 the syringe hadn't come along yet.

The Glider Conduit Age can't possibly start before 2013, when the Snark was discovered, and it runs right through to today.
Yes, but glider conduits, like the boojum and rectifier, existed before then, and Life enthusiasts were looking for a small, quick, stable 90° glider reflector for years, and larger 90° reflectors with longer repeat times were already known. Maybe we should start it with the rectifier because I think that the boojum wold be going too far back.
Also, even though the period of finding Herschel conduits only lasted for three years, many patterns over the next decade used Herschel conduits, so the period of influence of Herschel conduits lasted for more than three years.
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Re: The Past and Future of CGOL

Post by dvgrn » September 25th, 2020, 7:17 pm

MathAndCode wrote:
September 25th, 2020, 5:21 pm
Yes, but glider conduits, like the boojum and rectifier, existed before then, and Life enthusiasts were looking for a small, quick, stable 90° glider reflector for years, and larger 90° reflectors with longer repeat times were already known. Maybe we should start it with the rectifier because I think that the boojum wold be going too far back.
Nah, start the Glider Age with the Snark -- 2013. The boojum and rectifier don't count, because they were pretty much unusable -- 180-degree reflectors with lanes only 9 cells apart. Wishing for something better doesn't get you out of an Age -- you have to actually find it.
MathAndCode wrote:
September 25th, 2020, 5:21 pm
Also, even though the period of finding Herschel conduits only lasted for three years, many patterns over the next decade used Herschel conduits, so the period of influence of Herschel conduits lasted for more than three years.
Yeah, that's what I was trying to say -- the Herschel Age really extends all the way from 1996 to 2013. Can be subdivided into various eras, like the Megapattern Era around 2009-2010.

We've found more Herschel conduits since then, like Kazyan's amazingly useful new variant of the Fx77, but it hasn't been a really big focus since 2013.

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Re: The Past and Future of CGOL

Post by MathAndCode » September 25th, 2020, 8:33 pm

dvgrn wrote:
September 25th, 2020, 7:17 pm
MathAndCode wrote:
September 25th, 2020, 5:21 pm
Yes, but glider conduits, like the boojum and rectifier, existed before then, and Life enthusiasts were looking for a small, quick, stable 90° glider reflector for years, and larger 90° reflectors with longer repeat times were already known. Maybe we should start it with the rectifier because I think that the boojum wold be going too far back.
Nah, start the Glider Age with the Snark -- 2013. The boojum and rectifier don't count, because they were pretty much unusable -- 180-degree reflectors with lanes only 9 cells apart. Wishing for something better doesn't get you out of an Age -- you have to actually find it.
MathAndCode wrote:
September 25th, 2020, 5:21 pm
Also, even though the period of finding Herschel conduits only lasted for three years, many patterns over the next decade used Herschel conduits, so the period of influence of Herschel conduits lasted for more than three years.
Yeah, that's what I was trying to say -- the Herschel Age really extends all the way from 1996 to 2013. Can be subdivided into various eras, like the Megapattern Era around 2009-2010.

We've found more Herschel conduits since then, like Kazyan's amazingly useful new variant of the Fx77, but it hasn't been a really big focus since 2013.
Let's start coming up with a list of ages. Much of this is based on the list that you provided.
  • Early exploration (heralded by the R-pentomino): 1969–1970
  • Oscillator-finding: 1970–1989
    • Finding non-shuttle oscillators: 1970–1977
    • Shuttle period (herladed by the queen bee shuttle): 1970–1989)
  • Dominance of p30 technology (heralded by the Gosper glider gun): 1970–1995
  • c/2 technology (heralded by various puffers, rakes, and the moving sparkers that power them): 1971–1973
  • Agar explosion: 1990–1992
  • Spaceship explosion (heralded by Dean Hickerson's discovery of the first c/3 spaceship): 1989–1993
  • Stable conduit age 1995–2020
    • Herschel-centric conduit age: 1995–2015
      • Finding Herschel conduits: 1995–1998
      • Using Herschel conduits: 1995–2015
        • Herschel-based mega-patterns: 2000–2010
    • Glider-centric conduit age: 2013–2020
      • Finding glider conduits: 2013–2020
      • Using glider conduits: 2013–2020
  • Glider construction: 2000–2020
    • Universal construction: 2004–2020
      • Self-construction (heralded by Gemini): 2010–2020
      • RCT-based universal construction: 2018–2020
    • Glider syntheses: 2015–2020
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Re: The Past and Future of CGOL

Post by wwei23 » September 26th, 2020, 1:13 pm

What about corderships?

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Re: The Past and Future of CGOL

Post by dvgrn » September 26th, 2020, 6:42 pm

wwei23 wrote:
September 26th, 2020, 1:13 pm
What about corderships?
Various Corderships showed up in the Great Spaceship Explosion in the early 1990s. That Age probably could be said to have come to an end by the time David Bell came out with his six-part Spaceships in Conway's Game of Life articles -- even though of course more spaceships kept getting discovered after that.

Maybe a later High-Period Elementary Spaceship Age could be defined around the appearance of the loafer, copperhead, flying spaghetti monster, Sir Robin/minstrels, and so on.

Similarly, there was a second Herschel Conduit Finding Age. The first age did end very suddenly in 1998 -- I think the only major discovery in the next decade was Brice Due's F171 in 2006. But there was a resurgence of interest starting in October 2011 with Guam's work, the new Golden Age ran at least through 2015 I think.

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Re: The Past and Future of CGOL

Post by MathAndCode » September 27th, 2020, 1:50 pm

dvgrn wrote:
September 26th, 2020, 6:42 pm
Maybe a later High-Period Elementary Spaceship Age could be defined around the appearance of the loafer, copperhead, flying spaghetti monster, Sir Robin/minstrels, and so on.

Similarly, there was a second Herschel Conduit Finding Age. The first age did end very suddenly in 1998 -- I think the only major discovery in the next decade was Brice Due's F171 in 2006. But there was a resurgence of interest starting in October 2011 with Guam's work, the new Golden Age ran at least through 2015 I think.
Here's the updated list.
  • Early exploration (heralded by the R-pentomino): 1969–1970
  • Oscillator-finding: 1970–1989
    • Finding non-shuttle oscillators: 1970–1977
    • Shuttle period (herladed by the queen bee shuttle): 1970–1989)
  • Dominance of p30 technology (heralded by the Gosper glider gun): 1970–1995
  • c/2 technology (heralded by various puffers, rakes, and the moving sparkers that power them): 1971–1973
  • Agar explosion: 1990–1992
  • Finding spaceships: 1989–1993, 2000, 2011–2018
    • Spaceship explosion (heralded by Dean Hickerson's discovery of the first c/3 spaceship): 1989–1993
    • Brief spike in new speeds (heralded by the weekender): 2000
    • High-period elementary spaceship-finding: 2011–2018
  • Stable conduit age 1995–2020
    • Herschel-centric conduit age: 1995–2015
      • Finding Herschel conduits: 1995–1998, 2011–2015
      • Using Herschel conduits: 1995–2015
        • Herschel-based mega-patterns: 2000–2010
    • Glider-centric conduit age: 2013–2020
      • Finding glider conduits: 2013–2020
      • Using glider conduits: 2013–2020
  • Glider construction: 2000–2020
    • Universal construction: 2004, 2009–2020
      • Self-construction (heralded by Gemini): 2010–2020
      • RCT-based universal construction: 2018–2020
    • Glider syntheses: 2015–2020
Also, we can start to identify some patterns that were representative of their ages now. The first gun came at the beginning of the p30 period, so of course it was p15 or p30. The first time that people found a smaller gun was during the second golden age of finding Herschel conduits, so of course it uses Herschel conduits.
Last edited by MathAndCode on September 27th, 2020, 6:54 pm, edited 1 time in total.
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Re: The Past and Future of CGOL

Post by goldenratio » September 27th, 2020, 2:44 pm

What about soup searching? The main periods of soup searching were from 2009-2011 (TOLLCASS) and 2014-present (apgsearch/Catagolue). (Yes, Achim and Okrasinski's censuses came before that, but I don't think they were large and influential enough.)

I think this should be added:
  • Soup searching: 2003-2011 and 2014-2020
    • Okrasinski's census: 2003-2008
    • TOLLCASS: 2009-2011
    • Apgsearch: 2014-2020
      • Finding syntheses from asymmetric soups: 2014-2020
      • Finding new objects from symmetric soups*: 2014-2019
      • Finding methuselahs, megasized soups, and diehards: 2018-2020
*Yes, I realize that Rob's p16 was found in 2020 from an asymmetric soup but that's probably an exception. Also carybe come back so we can find more new oscillators please

EDIT: So apparently Okrasinski's census was bigger than I thought. Updated the timeline above.
Last edited by goldenratio on September 27th, 2020, 4:53 pm, edited 1 time in total.
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Re: The Past and Future of CGOL

Post by calcyman » September 27th, 2020, 3:32 pm

goldenratio wrote:
September 27th, 2020, 2:44 pm
What about soup searching? The main periods of soup searching were from 2009-2011 (TOLLCASS) and 2014-present (apgsearch/Catagolue). (Yes, Achim and Okrasinski's censuses came before that, but I don't think they were large and influential enough.)
Okrasinski's census was several times larger than TOLLCASS. In particular, the sizes are:
  • Achim (1992-1994): 5 billion objects (from 32x32 toruses);
  • Tim Coe (1997): 20 billion objects (from line puffer debris);
  • Achim (2004): 50 billion objects (from 2048x2048 toruses);
  • Okrasinski (2003-2008): 477 billion objects (from 20x20 soups);
  • TOLLCASS (2009-2011): 174 billion objects (from 20x20 soups);
  • Catagolue (2015-present): 874319 billion objects (from 16x16 cryptographic hashes).
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Re: The Past and Future of CGOL

Post by wwei23 » September 28th, 2020, 9:02 am

What about P46 technology with the twin bees shuttle and its guns?

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Re: The Past and Future of CGOL

Post by calcyman » September 28th, 2020, 9:36 am

wwei23 wrote:
September 28th, 2020, 9:02 am
What about P46 technology with the twin bees shuttle and its guns?
That peaked with Brice Due's two metapixels: the OCTA metacell and the preprogrammed video pixel.
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Re: The Past and Future of CGOL

Post by dvgrn » September 28th, 2020, 9:47 am

wwei23 wrote:
September 28th, 2020, 9:02 am
What about P46 technology with the twin bees shuttle and its guns?
Yup, honestly it's really more like
  • Dominance of p30 and p46 technology (heralded by the Gosper glider gun and newgun): 1970–1995
The OTCA metapixel was one of those one-off big events that didn't really fit in its era. 2006 was long after the 1970-1995 First Golden Age of Periodic Circuitry. Could probably get a sense of when the most golden part of that golden age was, by looking at the dates of the signal-circuitry patterns on Dean Hickerson's website.

Speaking of which, Alan Hensel's 1994 decimal counter was considered to be a fairly impressive piece of p46 circuitry, when it came out in 1994. It was one of those patterns that got "showed off" a lot -- look what Life patterns can do now! Alan posted the pattern originally with just the note "Say, this is fun!" -- and got this reply from Bill Gosper
Bill Gosper wrote: > Say, this is fun!
>
> x = 851, y = 520 ...

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Re: The Past and Future of CGOL

Post by Hdjensofjfnen » September 28th, 2020, 6:42 pm

I would characterize 2015-2020 as a sort of revisit to the smaller things in Conway's Life. Things like the loafer, copperhead, Sir Robin, and new glider syntheses all point to a general trend towards a smaller scale rather than things on the order of the Gemini. Clearly, there's no definite line -- the HBKs, Waterbear, and Centipede were discovered in 2014, the Caterloopillar in 2016, all after the loafer in 2013, but that's something that I've seen.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: The Past and Future of CGOL

Post by MathAndCode » September 28th, 2020, 9:31 pm

dvgrn wrote:
September 28th, 2020, 9:47 am
wwei23 wrote:
September 28th, 2020, 9:02 am
What about P46 technology with the twin bees shuttle and its guns?
Yup, honestly it's really more like
  • Dominance of p30 and p46 technology (heralded by the Gosper glider gun and newgun): 1970–1995
The OTCA metapixel was one of those one-off big events that didn't really fit in its era. 2006 was long after the 1970-1995 First Golden Age of Periodic Circuitry. Could probably get a sense of when the most golden part of that golden age was, by looking at the dates of the signal-circuitry patterns on Dean Hickerson's website.

Speaking of which, Alan Hensel's 1994 decimal counter was considered to be a fairly impressive piece of p46 circuitry, when it came out in 1994. It was one of those patterns that got "showed off" a lot -- look what Life patterns can do now! Alan posted the pattern originally with just the note "Say, this is fun!" -- and got this reply from Bill Gosper
Bill Gosper wrote: > Say, this is fun!
>
> x = 851, y = 520 ...

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Edit: I didn't type the following post all at once, so when I pressed Submit, I had to log in again. After that, it took me to the same posting screen as before with text already inside, so I figured that my message had been saved, so I pressed Submit. I then saw that I had simply posted the quote without my response (because the URL was a URL for quoting, so it would have automatically put the quote in). I used my browser's back button to restore the message that I typed then posted it, figuring that I could then delete this message. Unfortunately, it turns out that I can only delete my post if it's the last post in the thread, even if no one else has posted after it, so to the first moderator to read this, please delete this post.
Last edited by MathAndCode on September 28th, 2020, 10:09 pm, edited 2 times in total.
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Re: The Past and Future of CGOL

Post by MathAndCode » September 28th, 2020, 9:31 pm

dvgrn wrote:
September 28th, 2020, 9:47 am
Yup, honestly it's really more like
  • Dominance of p30 and p46 technology (heralded by the Gosper glider gun and newgun): 1970–1995
I was aware of p46 technology, but I had gotten the impression that p30 technology was used more. However, I think that there were a p690 gun that combined the queen bee and twin bee shuttles.
dvgrn wrote:
September 28th, 2020, 9:47 am
The OTCA metapixel was one of those one-off big events that didn't really fit in its era. 2006 was long after the 1970-1995 First Golden Age of Periodic Circuitry.
Yes, but it fits in with the age of the metapattern. Maybe I should give that its own era instead of including it within using Herschel conduits.
Hdjensofjfnen wrote:
September 28th, 2020, 6:42 pm
I would characterize 2015-2020 as a sort of revisit to the smaller things in Conway's Life. Things like the loafer, copperhead, Sir Robin, and new glider syntheses all point to a general trend towards a smaller scale rather than things on the order of the Gemini. Clearly, there's no definite line -- the HBKs, Waterbear, and Centipede were discovered in 2014, the Caterloopillar in 2016, all after the loafer in 2013, but that's something that I've seen.
I see your point, and I agree with it for the most part, but there's one major exception: guns. Thanks to the era of glider syntheses, there are many recent very large guns based solely on glider syntheses. There aren't a lot of small, clever guns, which I don't like. I have no objection with guns that use any gliders, like guns that make XWSSes by crashing a glider into some spark, but unless a particular spaceship has an extremely efficient glider synthesis, I wouldn't call a gun for that spaceship that uses only gliders clever. For example, I think that there's probably a way to shoot four or six gliders at the spark of the twin bees shuttle in a symmetrical way that results in an x66, 44P5H2V0, or some other fairly small spaceship with gutter symmetry, and if someone finds one, then I'll call that clever.
Come to think of it, this thread is supposed to discuss the future of CGoL, not just the past, and we haven't done that so far. Here are some things that I think we should try to make happen:
  • Better uni-directional XWSS universal construction
  • More clever guns
  • A Sir Robin gun
  • More multi-directional universal construction
I'm thinking that we (as in the Life enthusiasts who care about the topic of this thread enough to look at and post on it regularly) should each make suggestions, then we should decide which to focus on achieving. I believe that I'm not the only one who supports the last one.
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Re: The Past and Future of CGOL

Post by dvgrn » September 29th, 2020, 6:35 am

MathAndCode wrote:
September 28th, 2020, 9:31 pm
I see your point, and I agree with it for the most part, but there's one major exception: guns. Thanks to the era of glider syntheses, there are many recent very large guns based solely on glider syntheses. There aren't a lot of small, clever guns, which I don't like. I have no objection with guns that use any gliders, like guns that make XWSSes by crashing a glider into some spark, but unless a particular spaceship has an extremely efficient glider synthesis, I wouldn't call a gun for that spaceship that uses only gliders clever...
The history of Conway's Life gun-building is pretty interesting, and it goes along with the Herschel-centric and glider-centric conduit ages. The First Gun-Building Era was part of the Herschel Age. It lasted roughly from 1998, when Dieter and Peter's gun collection was first established, to 2003, when Karel Suhajda filled in all the higher periods up to p1000 using Hersrch, and by September one of the Life community's first big collaborative efforts finished all the missing pseudo-period guns in the p14-p116 range.

The Second Gun-Building Era had a similar trajectory inside the Glider Conduit Age, lasting from the discovery of the syringe in March 2015 to (I'd say) somewhere around mid-2018, when the guns in the new glider gun collection had almost all been cut down to a small fraction of their Herschel-era sizes, and it started to become much harder to find guns that could be improved.

See this post for a few more historical details, along with my best attempt at cleverness in the glider-gun design department.

Dieter Leithner also collected "gliderless" spaceship guns for a while in 1998, but it never really took off the way the glider-gun project did. The motivation behind the "gliderless" specification was similar to your "clever" requirement, and had a similar shortcoming: it's almost as hard to decide what counts as "gliderless" as it is to figure out what counts as "clever".

Spaceship guns in general somehow seem "less collectible", probably because they're too big, there are potentially way too many of them, and they're mostly kind of interchangeable so none of them are all that interesting individually. Basically glider-based spaceship guns are smaller if there's a smaller glider gun of that period. This is definitely my motivation for building glider-to-X converters instead, so that any period of spaceship gun you might want is just a matter of hooking up the right gun to the converter. That way people don't waste as much time making big ugly spaceship guns by packing together lots of glider guns of specific arbitrary periods.
MathAndCode wrote:
September 28th, 2020, 9:31 pm
Here are some things that I think we should try to make happen:
  • Better uni-directional XWSS universal construction
  • More clever guns
  • A Sir Robin gun
  • More multi-directional universal construction
I suspect a Sir Robin gun is a problem that's easily billions of times more difficult than the problem of finding Sir Robin in the first place, and even that search took a lot of CPU power over several months. Either a glider synthesis or a direct Sir Robin gun will require technological advances that will make our current state-of-the-art look downright primitive. Like, right now we're still just banging rocks together by hand, and we're really proud of the nice flint axes we're making, but a Sir Robin gun is more on the order of a high-energy particle accelerator -- pretty far beyond our current ability to even imagine what it would be like.

The other two items on the list seem like very good and reachable goals. Here's one that might be a little more ambitious, but nowhere near the Sir-Robin-gun scale:
  • Prove omniperiodicity by finding a signal wire that can be bent into a closed path, with a recovery time of 19 ticks or less.
EDIT: Even more reasonable, here's another item I want to put on the list:
  • Cut the cost of the 31,822-glider recipe for a Speed Demonoid approximately in half, by writing code to do a custom search for the 0-degree gliders needed by the recipe. It should be possible to save about half of the gliders, by running each search for a new output glider starting from the ash cloud left over from the previous output glider, instead of going all the way back to a block every time and then rebuilding a new ash cloud.

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Re: The Past and Future of CGOL

Post by MathAndCode » September 29th, 2020, 7:39 pm

dvgrn wrote:
September 29th, 2020, 6:35 am
The history of Conway's Life gun-building is pretty interesting, and it goes along with the Herschel-centric and glider-centric conduit ages. The First Gun-Building Era was part of the Herschel Age. It lasted roughly from 1998, when Dieter and Peter's gun collection was first established, to 2003, when Karel Suhajda filled in all the higher periods up to p1000 using Hersrch, and by September one of the Life community's first big collaborative efforts finished all the missing pseudo-period guns in the p14-p116 range.

The Second Gun-Building Era had a similar trajectory inside the Glider Conduit Age, lasting from the discovery of the syringe in March 2015 to (I'd say) somewhere around mid-2018, when the guns in the new glider gun collection had almost all been cut down to a small fraction of their Herschel-era sizes, and it started to become much harder to find guns that could be improved.

See this post for a few more historical details, along with my best attempt at cleverness in the glider-gun design department.

Dieter Leithner also collected "gliderless" spaceship guns for a while in 1998, but it never really took off the way the glider-gun project did. The motivation behind the "gliderless" specification was similar to your "clever" requirement, and had a similar shortcoming: it's almost as hard to decide what counts as "gliderless" as it is to figure out what counts as "clever".

Spaceship guns in general somehow seem "less collectible", probably because they're too big, there are potentially way too many of them, and they're mostly kind of interchangeable so none of them are all that interesting individually. Basically glider-based spaceship guns are smaller if there's a smaller glider gun of that period. This is definitely my motivation for building glider-to-X converters instead, so that any period of spaceship gun you might want is just a matter of hooking up the right gun to the converter. That way people don't waste as much time making big ugly spaceship guns by packing together lots of glider guns of specific arbitrary periods.
As before, the guns of a time reflect the available circuitry, which further supports the idea that exploration of Conway Life can be divided into different eras. I'm somewhat tempted to say that making gliders with gliders will be the final era because of how straightforward it is, but I'm hesitant because of the historical pattern. Maybe new signal loop technology will be developed in ten or so years.
dvgrn wrote:
September 29th, 2020, 6:35 am
I suspect a Sir Robin gun is a problem that's easily billions of times more difficult than the problem of finding Sir Robin in the first place, and even that search took a lot of CPU power over several months. Either a glider synthesis or a direct Sir Robin gun will require technological advances that will make our current state-of-the-art look downright primitive. Like, right now we're still just banging rocks together by hand, and we're really proud of the nice flint axes we're making, but a Sir Robin gun is more on the order of a high-energy particle accelerator -- pretty far beyond our current ability to even imagine what it would be like.
While this will certainly be difficult, I think that your assessment is an overestimate and that a set of several tricks can reduce difficulty down to a more manageable level. The idea of a partial-based synthesis could be useful. Sir Robin's large size and the fact that gliders cannot travel through each other will probably turn this method into the tail of Sir Robin advancing while the head is still being built (If this does not become the case, feel free to start with the head.), but that will quite possibly make glider construction easier because the partial Sir Robin will be moving towards the optimal directions for construction gliders (and possibly XWSSes) to be coming from, effectively allowing us to send gliders more often. (Alternatively, we could place still lifes in the path of Sir Robin's tail then have construction spaceships come from the side. We should at least be able to construct the last 15 or so lines before reaching the first very difficult section.
Keep in mind that I have little experience with both glider syntheses and ConwayLife in general, so my sense of difficulty may be off, although my ideas have worked against more experienced users' expectations before.
dvgrn wrote:
September 29th, 2020, 6:35 am
The other two items on the list seem like very good and reachable goals.
I figure that now that we've reached the holy grail of glider construction in the form of single-lane single-parity universal construction, slow single-lane universal construction, and slow single-direction double-lane universal construction with one parity per lane; meanwhile, universal XWSS construction is woefully inefficient and arguably more useful because XWSSes are faster than gliders. Of course, optimizations are nice in general, but XWSS construction needs them much more badly.
Both better XWSS construction and multi-directional construction are included in my proposed diagonal flipping fast loopship, which I plan to work on once I'm done optimizing the RCT-based universal constructor. Maybe we could encourage others to work on it. (And of course, there's nothing preventing others from starting work before I get to it.)
dvgrn wrote:
September 29th, 2020, 6:35 am
Here's one that might be a little more ambitious, but nowhere near the Sir-Robin-gun scale:
  • Prove omniperiodicity by finding a signal wire that can be bent into a closed path, with a recovery time of 19 ticks or less.
That would be nice, but it doesn't seem that useful to me. The only potential usage that I see is for making guns of various periods (assuming that one can find a converter with a fast enough repeat time, which does not seem very likely for period 19), but even then, these will likely only be guns for the sake of having guns for every period (and there are already pseudo-period guns for 19, 34, 38, and 41) because otherwise, they would be used in circuitry that likely has components with longer repeat times, probably including the snark and/or syringe (or whatever the fastest glider reflector and splitter are by then). Of course, wires could be used in other aspects of circuitry, but their usage would be restricted by the fact that they can't pass through each other or other lanes and the fact that they would likely be costly to construct.
dvgrn wrote:
September 29th, 2020, 6:35 am
Even more reasonable, here's another item I want to put on the list:
  • Cut the cost of the 31,822-glider recipe for a Speed Demonoid approximately in half, by writing code to do a custom search for the 0-degree gliders needed by the recipe. It should be possible to save about half of the gliders, by running each search for a new output glider starting from the ash cloud left over from the previous output glider, instead of going all the way back to a block every time and then rebuilding a new ash cloud.
Apparently universal glider construction is not as optimized as I thought that it was. I guess more optimization on that is in order, although XWSS construction is still woefully inefficient.
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Re: The Past and Future of CGOL

Post by dvgrn » September 29th, 2020, 10:12 pm

MathAndCode wrote:
September 29th, 2020, 7:39 pm
While this will certainly be difficult, I think that your assessment is an overestimate...
I'm always happy to be proved wrong, and the "experts" are very often wrong in this business. On the other hand, I kind of think my "billions of times more difficult" was a serious underestimate, and really building a Sir Robin out of gliders would be the only way to prove me wrong for sure.

If we develop tools that can successfully find a Sir Robin synthesis, we should find it equally easy (or much easier) to synthesize pretty much every spaceship smaller than Sir Robin. At the moment we know how to build only three out of the hundreds of 2c/5 spaceships in Golly's Life/Spaceships/2c5-orthogonal, for example, and the ones we can build are generally the smaller ones (30, 44, and 60 bits).

Sir Robin is 282 bits. The top of our current game for glider synthesis is something like 70P2H1V0.1. We have a hard time even getting started on anything bigger than 70 bits, partly because the search programs we use to find workable predecessors tend to get exponentially slower with linear increases in the number of bits being searched.

So there's kind of a Wall of Near-Impossibility that we run into. The location of the wall changes gradually as Moore's Law gives us more computing power, but when we hit it it still looks an awful lot like a wall -- and the wall is currently just beyond 70P2H1V0.1, and definitely not anywhere close to Sir Robin.

A "partial-based synthesis" is a nice idea, but in practice it's not just like changing the tires on a moving car -- that's been done before... for Sir Robin it would be more like starting out riding a motorcycle and ending up driving a Sherman tank, without ever slowing down in the middle.

It would pretty much have to be done by building the tail first, as you suggested. If you start with the head it will immediately start running away fast enough that gliders can't catch up to it. But we haven't found any kind of scaffolding object that a Sir Robin tail could travel along until the head could be completed, and at the moment we don't really have tools that are likely to be able to help us discover such a huge, delicately balanced and unlikely object.
MathAndCode wrote:
September 29th, 2020, 7:39 pm
dvgrn wrote:
September 29th, 2020, 6:35 am
  • Prove omniperiodicity by finding a signal wire that can be bent into a closed path, with a recovery time of 19 ticks or less.
That would be nice, but it doesn't seem that useful to me.
Well, you're right that this might be more or less a dead end, once the missing oscillator periods are found, unless a splitter component can be found for the wire -- say an outside corner that bubbles off a glider when a signal goes by, and then recovers.

However, the omniperiodicity problem is one of the oldest remaining unsolved Holy Grails of the Game of Life, so even if we just get p19+ oscillators out of a signal wire, that will generate plenty of excitement all by itself.

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Re: The Past and Future of CGOL

Post by wwei23 » September 29th, 2020, 10:48 pm

dvgrn wrote:
September 29th, 2020, 10:12 pm
But we haven't found any kind of scaffolding object that a Sir Robin tail could travel along until the head could be completed, and at the moment we don't really have tools that are likely to be able to help us discover such a huge, delicately balanced and unlikely object.
That sounds like a fuse. I've found tons of fuses with JLS before. Surely it can't be that difficult?

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Re: The Past and Future of CGOL

Post by MathAndCode » September 30th, 2020, 12:06 am

dvgrn wrote:
September 29th, 2020, 10:12 pm
MathAndCode wrote:
September 29th, 2020, 7:39 pm
While this will certainly be difficult, I think that your assessment is an overestimate...
I'm always happy to be proved wrong, and the "experts" are very often wrong in this business. On the other hand, I kind of think my "billions of times more difficult" was a serious underestimate, and really building a Sir Robin out of gliders would be the only way to prove me wrong for sure.

If we develop tools that can successfully find a Sir Robin synthesis, we should find it equally easy (or much easier) to synthesize pretty much every spaceship smaller than Sir Robin. At the moment we know how to build only three out of the hundreds of 2c/5 spaceships in Golly's Life/Spaceships/2c5-orthogonal, for example, and the ones we can build are generally the smaller ones (30, 44, and 60 bits).

Sir Robin is 282 bits. The top of our current game for glider synthesis is something like 70P2H1V0.1. We have a hard time even getting started on anything bigger than 70 bits, partly because the search programs we use to find workable predecessors tend to get exponentially slower with linear increases in the number of bits being searched.

So there's kind of a Wall of Near-Impossibility that we run into. The location of the wall changes gradually as Moore's Law gives us more computing power, but when we hit it it still looks an awful lot like a wall -- and the wall is currently just beyond 70P2H1V0.1, and definitely not anywhere close to Sir Robin.

A "partial-based synthesis" is a nice idea, but in practice it's not just like changing the tires on a moving car -- that's been done before... for Sir Robin it would be more like starting out riding a motorcycle and ending up driving a Sherman tank, without ever slowing down in the middle.

It would pretty much have to be done by building the tail first, as you suggested. If you start with the head it will immediately start running away fast enough that gliders can't catch up to it. But we haven't found any kind of scaffolding object that a Sir Robin tail could travel along until the head could be completed, and at the moment we don't really have tools that are likely to be able to help us discover such a huge, delicately balanced and unlikely object.
I guess that it would be harder than I initially thought. There are some things that I could explain about my method that might make you agree that it would be a little easier than you previously thought it was, but I'm starting to agree that it's probably not worth it now. Part of me still wants to say that this is a new method, so we should at least test it out on the bottom 15 lines or so in case it's more effective than we think, but most of me realizes that this should wait for at least a few more years of technological advancement.
wwei23 wrote:
September 29th, 2020, 10:48 pm
dvgrn wrote:
September 29th, 2020, 10:12 pm
But we haven't found any kind of scaffolding object that a Sir Robin tail could travel along until the head could be completed, and at the moment we don't really have tools that are likely to be able to help us discover such a huge, delicately balanced and unlikely object.
That sounds like a fuse. I've found tons of fuses with JLS before. Surely it can't be that difficult?
I guess I'll explain one of those things then. Both stationary scaffolding and glider-based preservation have the same two problems: They don't actually advance a glider synthesis, and they must be pseudo-period. My idea was that since we need to make the next stage for a complete synthesis anyway, we could just use something based on that instead of finding a separate preserving reaction. However, your idea, if found, could be useful because it would provide some time to clear the area (i.e. make way for more construction spaceships) and build more still lifes.
dvgrn wrote:
September 29th, 2020, 10:12 pm
Well, you're right that this might be more or less a dead end, once the missing oscillator periods are found, unless a splitter component can be found for the wire -- say an outside corner that bubbles off a glider when a signal goes by, and then recovers.

However, the omniperiodicity problem is one of the oldest remaining unsolved Holy Grails of the Game of Life, so even if we just get p19+ oscillators out of a signal wire, that will generate plenty of excitement all by itself.
I guess that that's a good point, also we already have infinite oscillators for all of those periods.
Personally, my guess is that p38 and p41 will be found by an improved glider reflector, p34 will be found either by that or some shuttle, and p19 will be found by a standard oscillator (as opposed to a signal loop).
If someone wants to make p38 and p41 oscillators a reality via glider loops, one idea is to look at a 90° degree turner and try to use an emitted spark and some catalysts to restore the object. It seems like this is a more promising way to achieve lower recovery times because it's simple: Instead of colliding a glider, creating some reaction, then making the reaction both emit a glider and restore the object, one doesn't have to worry about emitting the glider, and colliding the glider and creating the reaction are, in a way, merged into one step. I've looked at the 90° turners, and the long boat looks the most promising, following by the Blockic turner, but there's a good chance that this has been thought of before (although not necessarily with the same search technology that we currently have).
Last edited by MathAndCode on September 30th, 2020, 10:17 am, edited 1 time in total.
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Re: The Past and Future of CGOL

Post by Layz Boi » September 30th, 2020, 12:54 am

dvgrn wrote:
September 25th, 2020, 1:59 pm
The problem I ran into was that when I wanted spaceships to make cameo appearances in the correct decade of the timeline, I had to reserve a lot of empty lanes stretching all the way back to T=0
Can't you just set a time to paste in the ship?
dvgrn wrote:
September 29th, 2020, 10:12 pm
...
Sir Robin is 282 bits. The top of our current game for glider synthesis is something like 70P2H1V0.1. We have a hard time even getting started on anything bigger than 70 bits, partly because the search programs we use to find workable predecessors tend to get exponentially slower with linear increases in the number of bits being searched.
...
Yikes! What are these algorithms behind those programs? I don't particularly care for glider synthesis, but exponential time seems kind of ridiculous to my intuition for CGOL, something so... deterministic.

Also, would the advancement of software used to look for patterns be worth a mention on the timeline? I know that GoldenRatio mentioned soup searching programs, but what about others that find ships, oscillators, synthesis etc?
dvgrn wrote:
September 29th, 2020, 10:12 pm
...
However, the omniperiodicity problem is one of the oldest remaining unsolved Holy Grails of the Game of Life, so even if we just get p19+ oscillators out of a signal wire, that will generate plenty of excitement all by itself.
...
I second this.

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