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31c/240 caterpillar working notes

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: 31c/240 caterpillar working notes

Postby dvgrn » September 2nd, 2014, 7:10 pm

codeholic wrote:I meant the catamaran design, but it needs a search script to be written, and it's not guaranteed that it will work out.

I ran into a couple of problems with the most recent catamaran diagram, that kept me from working on it any further. But now that we have a fairly short Heisenburp HWSS side-puffer recipe, it seems quite possible that a couple of longhorn-beetle front ends in a catamaran design could supply each other's lateral forward glider streams, leaving just two outside streams on each side to be built with kickbacks from the two leading block trails. That would be four HWSSes, just like the shield-bug design.

... Then again, we'd have the same total number of kickbacks to solve with a single six-trail 116x5-spaced front end. Is there some way to set things up so that a catamaran design really gives a clear advantage?

I've mentioned the next idea a few times before, maybe incoherently, so sorry for the duplication. Would it help to build a single LWSS (let's say) along with the two HWSS upship streams, and then use slow salvos to produce reverse forward streams to support block-trail construction? No shield-bug monstrosity required.

#C LWSS+forward G = slow-salvo target
x = 71, y = 95, rule = B3/S23
8b3o$3o5bo$o2bo5bo$o$o$bobo24$68b3o$68bo$69bo59$3o$o2bo$o$o$bobo!

Or use an MWSS or HWSS -- by random experiment I just found

#C MWSS+2G -> reverse lateral forward glider plus a block target
#C The target block could be slow-salvo transformed into
#C   a second lateral forward glider stream, some distance lower down.
x = 196, y = 274, rule = B3/S23
10bo$2bo6b2o$b3o5bobo$2obo$3o$3o$b2o23$70bo$69b2o$69bobo27$130bo$129b
2o$129bobo27$190bo$189b2o$189bobo$2bo$b3o$2obo$3o$3o$b2o12$13b3o$13bo$
14bo27$73b3o$73bo$74bo27$133b3o$133bo$134bo12$2bo$b3o$2obo$3o$3o$b2o
10$193b3o$193bo$194bo72$2bo$b3o$2obo$3o$3o$b2o!


#C HWSS+2G -> reverse lateral forward glider plus junk
x = 202, y = 274, rule = B3/S23
2b3o$bo2bo$4bo6b2o$o3bo6bobo$o3bo6bo$4bo$bobo12$19b3o$19bo$20bo11$71b
2o$71bobo$71bo14$79b3o$79bo$80bo11$131b2o$131bobo$131bo14$139b3o$139bo
$140bo11$2b3o186b2o$bo2bo186bobo$4bo186bo$o3bo$o3bo$4bo$bobo10$199b3o$
199bo$200bo71$2b3o$bo2bo$4bo$o3bo$o3bo$4bo$bobo83$2b3o$bo2bo$4bo$o3bo$
o3bo$4bo$bobo!

-- so a proper search ought to turn up something more interesting. Except... these searches have all been done already, haven't they? Here's your old posting about doing everything with just one HWSS stream on each side, never mind needing two.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 3rd, 2014, 2:00 am

There is yet another option, that I believe has been considered in the very beginning of this thread, namely shooting a "fast" forward glider salvo, that pushes the target by 31 cells forwards and emits a reverse forward glider. I've done this search once for Extrementhusiast's t^1.5 growth pattern, but search results were unfortunately lost. I think 5 gliders should be enough. The question is whether it would be actually easier than building a northbound *WSS.
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 3rd, 2014, 8:32 am

I built a nice and simple 116:110:90 front end using 6 lateral MWSS. It should definitely end up thinner than the shield bug design and following dvgrn's estimates I would guess shorter as well.

x = 13242, y = 2909, rule = B3/S23
13239bo$13238b3o$13238bob2o$13239b3o$13235b2o2b3o$13232bobo2bob3o$
13231b2o4bob2o$13238b2o$13238bo$13235b2o2$13231b3o$13231bo2bo$13231bo$
13231bo3bo$13231bo3bo$13231bo$13232bobo17$13174b3o$13117b3o56bo$13116b
5o54bo$13115b2ob3o$13116b2o3$2bo7b3o$b3o6bo$2obo7bo$3o$3o$3o$b2o5$8b3o
$7bo2bo$10bo$6bo3bo$6bo3bo$10bo$7bobo5$13114b3o$13116bo$13115bo$112b3o
12882b3o$111b5o12880b5o$111b3ob2o12878b2ob3o$114b2o12880b2o$70b3o$70bo
$71bo17$13239bo$13238b3o$13238bob2o$13054b3o182b3o$13056bo182b3o$
13055bo183b3o$13239b2o2$232b3o12642b3o$231b5o12640b5o$130b3o98b3ob2o
12638b2ob3o$130bo103b2o12640b2o353b3o$131bo13099bo2bo$13231bo$13231bo
3bo$13231bo3bo$13231bo$13232bobo15$12994b3o$12996bo$12995bo5$190b3o
159b3o12402b3o$190bo160b5o12400b5o$2bo188bo159b3ob2o12398b2ob3o$b3o
350b2o12400b2o$2obo$3o$3o$3o$b2o5$8b3o$7bo2bo$10bo$6bo3bo$6bo3bo$10bo$
7bobo3$12934b3o$12936bo$12935bo5$250b3o$250bo$251bo220b3o12162b3o$471b
5o12160b5o$471b3ob2o12158b2ob3o$474b2o12160b2o16$13239bo$12874b3o361b
3o$12876bo361bob2o$12875bo363b3o$13239b3o$13239b3o$13239b2o2$310b3o$
310bo$311bo$13231b3o$592b3o11922b3o711bo2bo$591b5o11920b5o710bo$591b3o
b2o11918b2ob3o710bo3bo$594b2o11920b2o713bo3bo$13231bo$13232bobo13$
12814b3o$12816bo$12815bo5$370b3o$370bo$371bo2$2bo$b3o$2obo708b3o11682b
3o$3o708b5o11680b5o$3o708b3ob2o11678b2ob3o$3o711b2o11680b2o$b2o5$8b3o$
7bo2bo$10bo$6bo3bo$6bo3bo$10bo$7bobo$12754b3o$12756bo$12755bo5$430b3o$
430bo$431bo6$832b3o11442b3o$831b5o11440b5o$831b3ob2o11438b2ob3o$834b2o
11440b2o11$12694b3o$12696bo542bo$12695bo542b3o$13238bob2o$13239b3o$
13239b3o$13239b3o$490b3o12746b2o$490bo$491bo3$13231b3o$13231bo2bo$
13231bo$13231bo3bo$13231bo3bo$952b3o11202b3o1071bo$951b5o11200b5o1071b
obo$951b3ob2o11198b2ob3o$954b2o11200b2o9$12634b3o$12636bo$12635bo5$
550b3o$550bo$551bo4$2bo$b3o$2obo$3o$3o$3o$b2o1069b3o10962b3o$1071b5o
10960b5o$1071b3ob2o10958b2ob3o$1074b2o10960b2o2$8b3o$7bo2bo$10bo$6bo3b
o$6bo3bo$10bo12563b3o$7bobo12566bo$12575bo5$610b3o$610bo$611bo12$1192b
3o10722b3o$1191b5o10720b5o$1191b3ob2o10718b2ob3o$1194b2o10720b2o5$
12514b3o$12516bo$12515bo$13239bo$13238b3o$13238bob2o$13239b3o$670b3o
12566b3o$670bo12568b3o$671bo12567b2o5$13231b3o$13231bo2bo$13231bo$
13231bo3bo$13231bo3bo$13231bo$13232bobo3$1312b3o10482b3o$1311b5o10480b
5o$1311b3ob2o10478b2ob3o$1314b2o10480b2o3$12454b3o$12456bo$12455bo5$
730b3o$730bo$731bo6$2bo$b3o$2obo$3o$3o$3o$b2o4$1432b3o10242b3o$8b3o
1420b5o10240b5o$7bo2bo1420b3ob2o10238b2ob3o$10bo1423b2o10240b2o$6bo3bo
12383b3o$6bo3bo12385bo$10bo12384bo$7bobo4$790b3o$790bo$791bo18$1552b3o
10002b3o$1551b5o10000b5o$1551b3ob2o9998b2ob3o773b3o$1554b2o10000b2o
778bo$12335bo3$13239bo$13238b3o$850b3o11363bo1021bob2o$850bo11364b3o
1021b3o$851bo11363bob2o1020b3o$12216b3o1020b3o$12212b2o2b3o1020b2o$
12209bobo2bob3o$12208b2o4bob2o$12215b2o$12215bo$12212b2o1017b3o$13231b
o2bo$12208b3o1020bo$12208bo2bo1019bo3bo$12208bo1022bo3bo$12208bo3bo
1018bo$12208bo3bo1019bobo$12208bo$12209bobo5$1672b3o9762b3o834b3o$
1671b5o9760b5o835bo$1671b3ob2o9758b2ob3o834bo$1674b2o9760b2o4$910b3o$
910bo$911bo3$12151b3o$12094b3o56bo$12093b5o54bo$12092b2ob3o$12093b2o$
2bo$b3o$2obo1021bo7b3o$3o1021b3o6bo$3o1020b2obo7bo$3o1020b3o$b2o1020b
3o$1023b3o$1024b2o3$8b3o$7bo2bo12203b3o$10bo1020b3o11182bo$6bo3bo1019b
o2bo758b3o9522b3o895bo$6bo3bo1022bo757b5o9520b5o$10bo1018bo3bo757b3ob
2o9518b2ob3o$7bobo1019bo3bo760b2o9520b2o$1033bo$970b3o57bobo$970bo$
971bo3$12091b3o$12093bo$12092bo$1135b3o10836b3o$1134b5o10834b5o$1134b
3ob2o10832b2ob3o$1137b2o10834b2o$1093b3o$1093bo$1094bo8$12154b3o$
12156bo$12155bo2$1912b3o9282b3o$1911b5o9280b5o$1911b3ob2o9278b2ob3o$
1030b3o881b2o9280b2o2041bo$1030bo12207b3o$1031bo11184bo1021bob2o$
12215b3o1021b3o$12215bob2o1020b3o$12031b3o182b3o1020b3o$12033bo182b3o
1020b2o$12032bo183b3o$12216b2o2$1255b3o10596b3o$1254b5o10594b5o1373b3o
$1153b3o98b3ob2o10592b2ob3o1373bo2bo$1153bo103b2o10594b2o353b3o1020bo$
1154bo11053bo2bo1019bo3bo$12208bo1022bo3bo$12208bo3bo1018bo$12208bo3bo
1019bobo$12208bo$12209bobo3$12094b3o$12096bo$12095bo4$2032b3o9042b3o$
1090b3o938b5o9040b5o$1090bo940b3ob2o9038b2ob3o$1091bo942b2o9040b2o3$
11971b3o$11973bo$11972bo5$2bo1210b3o159b3o10356b3o$b3o1209bo160b5o
10354b5o$2obo1021bo188bo159b3ob2o10352b2ob3o$3o1021b3o350b2o10354b2o$
3o1020b2obo$3o1020b3o$b2o1020b3o$1023b3o$1024b2o2$12034b3o$8b3o12025bo
$7bo2bo12024bo$10bo1020b3o$6bo3bo1019bo2bo$6bo3bo1022bo$10bo1018bo3bo$
7bobo1019bo3bo116b3o$1033bo116bo1001b3o8802b3o$1030bobo118bo999b5o
8800b5o$2151b3ob2o8798b2ob3o$2154b2o8800b2o$11911b3o$11913bo$11912bo5$
1273b3o$1273bo$1274bo220b3o10116b3o$1494b5o10114b5o$1494b3ob2o10112b2o
b3o$1497b2o10114b2o5$11974b3o$11976bo$11975bo5$1210b3o$1210bo$1211bo
12027bo$2272b3o8562b3o2398b3o$2271b5o8560b5o1375bo1021bob2o$2271b3ob2o
8558b2ob3o1010b3o361b3o1021b3o$2274b2o8560b2o1015bo361bob2o1020b3o$
11852bo363b3o1020b3o$12216b3o1020b2o$12216b3o$12216b2o2$1333b3o$1333bo
11897b3o$1334bo11896bo2bo$12208b3o1020bo$1615b3o9876b3o711bo2bo1019bo
3bo$1614b5o9874b5o710bo1022bo3bo$1614b3ob2o9872b2ob3o710bo3bo1018bo$
1617b2o9874b2o713bo3bo1019bobo$12208bo$12209bobo$11914b3o$11916bo$
11915bo5$1270b3o$1270bo$1271bo3$2392b3o8322b3o1071b3o$2391b5o8320b5o
1072bo$2391b3ob2o8318b2ob3o1071bo$2394b2o8320b2o4$1393b3o$1393bo$2bo
1391bo$b3o$2obo1021bo$3o1021b3o$3o1020b2obo708b3o9636b3o$3o1020b3o708b
5o9634b5o$b2o1020b3o708b3ob2o9632b2ob3o$1023b3o711b2o9634b2o$1024b2o
10828b3o$11856bo$11855bo$8b3o$7bo2bo$10bo1020b3o$6bo3bo1019bo2bo$6bo3b
o1022bo296b3o$10bo1018bo3bo296bo$7bobo1019bo3bo297bo$1033bo$1030bobo$
11731b3o$11733bo$2512b3o8082b3o1132bo$2511b5o8080b5o$2511b3ob2o8078b2o
b3o$2514b2o8080b2o2$1453b3o$1453bo$1454bo6$1855b3o9396b3o$1854b5o9394b
5o$1854b3ob2o9392b2ob3o536b3o$1857b2o9394b2o541bo$11795bo5$1390b3o$
1390bo$1391bo2$13239bo$11671b3o1564b3o$11673bo542bo1021bob2o$11672bo
542b3o1021b3o$12215bob2o1020b3o$2632b3o7842b3o1736b3o1020b3o$2631b5o
7840b5o1735b3o1020b2o$2631b3ob2o7838b2ob3o1735b3o$1513b3o1118b2o7840b
2o1738b2o$1513bo$1514bo$13231b3o$13231bo2bo$12208b3o1020bo$12208bo2bo
1019bo3bo$12208bo1022bo3bo$12208bo3bo1018bo$12208bo3bo1019bobo$1975b3o
9156b3o597b3o471bo$1974b5o9154b5o598bo472bobo$1974b3ob2o9152b2ob3o597b
o$1977b2o9154b2o4$1450b3o$1450bo$1451bo3$11611b3o$11613bo$11612bo4$
2752b3o7602b3o$1573b3o1175b5o7600b5o$1573bo1177b3ob2o7598b2ob3o$1574bo
1179b2o7600b2o2$2bo$b3o$2obo1021bo$3o1021b3o$3o1020b2obo$3o1020b3o$b2o
1020b3o10648b3o$1023b3o10650bo$1024b2o1069b3o8916b3o658bo$2094b5o8914b
5o$2094b3ob2o8912b2ob3o$8b3o2086b2o8914b2o$7bo2bo$10bo1020b3o476b3o$6b
o3bo1019bo2bo476bo$6bo3bo1022bo477bo$10bo1018bo3bo$7bobo1019bo3bo$
1033bo10517b3o$1030bobo10520bo$11552bo5$1633b3o$1633bo1238b3o7362b3o$
1634bo1236b5o7360b5o$2871b3ob2o7358b2ob3o$2874b2o7360b2o6$11614b3o$
11616bo$11615bo2$2215b3o8676b3o$2214b5o8674b5o$2214b3ob2o8672b2ob3o$
1570b3o644b2o8674b2o$1570bo$1571bo3$11491b3o$11493bo1745bo$11492bo
1745b3o$12216bo1021bob2o$12215b3o1021b3o$12215bob2o1020b3o$12216b3o
1020b3o$1693b3o10520b3o1020b2o$1693bo10522b3o$1694bo10521b2o$2992b3o
7122b3o$2991b5o7120b5o$2991b3ob2o7118b2ob3o3110b3o$2994b2o7120b2o3113b
o2bo$12208b3o1020bo$12208bo2bo1019bo3bo$12208bo1022bo3bo$11554b3o651bo
3bo1018bo$11556bo651bo3bo1019bobo$11555bo652bo$12209bobo3$2335b3o8436b
3o$1630b3o701b5o8434b5o$1630bo703b3ob2o8432b2ob3o$1631bo705b2o8434b2o
3$11431b3o$11433bo$11432bo5$1753b3o$1753bo$1754bo3$3112b3o6882b3o$2bo
3108b5o6880b5o$b3o3107b3ob2o6878b2ob3o$2obo1021bo2088b2o6880b2o$3o
1021b3o$3o1020b2obo10467b3o$3o1020b3o10470bo$b2o1020b3o10469bo$1023b3o
$1024b2o3$8b3o1679b3o$7bo2bo1679bo764b3o8196b3o$10bo1020b3o657bo762b5o
8194b5o$6bo3bo1019bo2bo1420b3ob2o8192b2ob3o$6bo3bo1022bo1423b2o8194b2o
$10bo1018bo3bo10337b3o$7bobo1019bo3bo10339bo$1033bo10338bo$1030bobo4$
1813b3o$1813bo$1814bo5$3232b3o6642b3o$3231b5o6640b5o$3231b3ob2o6638b2o
b3o$3234b2o6640b2o1556b3o$11436bo$11435bo5$1750b3o$1750bo$1751bo$2575b
3o7956b3o$2574b5o7954b5o$2574b3ob2o7952b2ob3o773b3o$2577b2o7954b2o778b
o$11312bo$13239bo$13238b3o$12216bo1021bob2o$12215b3o1021b3o$1873b3o
10339bob2o1020b3o$1873bo10342b3o1020b3o$1874bo10341b3o1020b2o$12216b3o
$12216b2o3$13231b3o$13231bo2bo$3352b3o6402b3o2448b3o1020bo$3351b5o
6400b5o1613b3o831bo2bo1019bo3bo$3351b3ob2o6398b2ob3o1615bo831bo1022bo
3bo$3354b2o6400b2o1617bo832bo3bo1018bo$12208bo3bo1019bobo$12208bo$
12209bobo2$1810b3o$1810bo$1811bo3$2695b3o7716b3o834b3o$2694b5o7714b5o
835bo$2694b3ob2o7712b2ob3o834bo$2697b2o7714b2o4$1933b3o$1933bo$1934bo
6$2bo$b3o$2obo1021bo10288b3o$3o1021b3o2445b3o6162b3o1676bo$3o1020b2obo
2444b5o6160b5o1674bo$3o1020b3o2445b3ob2o6158b2ob3o$b2o1020b3o2448b2o
6160b2o$1023b3o$1024b2o$1870b3o$1870bo$8b3o1860bo$7bo2bo$10bo1020b3o$
6bo3bo1019bo2bo10157b3o$6bo3bo1022bo10159bo$10bo1018bo3bo1781b3o7476b
3o895bo$7bobo1019bo3bo1780b5o7474b5o$1033bo1780b3ob2o7472b2ob3o$1030bo
bo1784b2o7474b2o2$1993b3o$1993bo$1994bo8$11254b3o$11256bo$11255bo$
3592b3o5922b3o$3591b5o5920b5o$3591b3ob2o5918b2ob3o$3594b2o5920b2o$
1930b3o$1930bo$1931bo3$11131b3o$11133bo$11132bo2$2935b3o7236b3o$2934b
5o7234b5o3061bo$2934b3ob2o7232b2ob3o3060b3o$2053b3o881b2o7234b2o2041bo
1021bob2o$2053bo10161b3o1021b3o$2054bo10160bob2o1020b3o$12216b3o1020b
3o$12216b3o1020b2o$12216b3o$12216b2o3$13231b3o$11194b3o2034bo2bo$
11196bo1011b3o1020bo$11195bo1012bo2bo1019bo3bo$12208bo1022bo3bo$12208b
o3bo1018bo$3712b3o5682b3o2808bo3bo1019bobo$3711b5o5680b5o2807bo$1990b
3o1718b3ob2o5678b2ob3o2808bobo$1990bo1723b2o5680b2o$1991bo3$11071b3o$
11073bo$11072bo4$3055b3o6996b3o$2113b3o938b5o6994b5o$2113bo940b3ob2o
6992b2ob3o$2114bo942b2o6994b2o8$2bo11131b3o$b3o11132bo$2obo1021bo
10109bo$3o1021b3o$3o1020b2obo$3o1020b3o$b2o1020b3o$1023b3o1024b3o1779b
3o5442b3o$1024b2o1024bo1780b5o5440b5o$2051bo1779b3ob2o5438b2ob3o$3834b
2o5440b2o$8b3o$7bo2bo11000b3o$10bo1020b3o9979bo$6bo3bo1019bo2bo9978bo$
6bo3bo1022bo$10bo1018bo3bo$7bobo1019bo3bo$1033bo$1030bobo1140b3o$2173b
o1001b3o6756b3o$2174bo999b5o6754b5o$3174b3ob2o6752b2ob3o$3177b2o6754b
2o6$11074b3o$11076bo$11075bo5$2110b3o$2110bo$2111bo1840b3o5202b3o$
3951b5o5200b5o$3951b3ob2o5198b2ob3o$3954b2o5200b2o1793b3o$10953bo$
10952bo5$2233b3o11003bo$2233bo11004b3o$2234bo9981bo1021bob2o$3295b3o
6516b3o2398b3o1021b3o$3294b5o6514b5o2397bob2o1020b3o$3294b3ob2o6512b2o
b3o2398b3o1020b3o$3297b2o6514b2o2401b3o1020b2o$12216b3o$12216b2o2$
11014b3o$11016bo2214b3o$11015bo2215bo2bo$12208b3o1020bo$12208bo2bo
1019bo3bo$12208bo1022bo3bo$12208bo3bo1018bo$2170b3o10035bo3bo1019bobo$
2170bo10037bo$2171bo10037bobo2$4072b3o4962b3o$4071b5o4960b5o1850b3o$
4071b3ob2o4958b2ob3o1852bo$4074b2o4960b2o1854bo5$2293b3o$2293bo$2294bo
3$3415b3o6276b3o$3414b5o6274b5o$3414b3ob2o6272b2ob3o$3417b2o6274b2o2$
10954b3o$10956bo$2bo10952bo$b3o$2obo1021bo$3o1021b3o$3o1020b2obo$3o
1020b3o1204b3o$b2o1020b3o1204bo$1023b3o1205bo$1024b2o2$10831b3o$8b3o
4181b3o4722b3o1913bo$7bo2bo4180b5o4720b5o1911bo$10bo1020b3o3157b3ob2o
4718b2ob3o$6bo3bo1019bo2bo3160b2o4720b2o$6bo3bo1022bo$10bo1018bo3bo$7b
obo1019bo3bo1319b3o$1033bo1319bo$1030bobo1321bo5$3535b3o6036b3o$3534b
5o6034b5o$3534b3ob2o6032b2ob3o$3537b2o6034b2o1319b3o$10896bo$10895bo5$
2290b3o$2290bo$2291bo3$10771b3o$10773bo$10772bo$4312b3o4482b3o$4311b5o
4480b5o$4311b3ob2o4478b2ob3o$4314b2o4480b2o$2413b3o$2413bo$2414bo
10824bo$13238b3o$12216bo1021bob2o$10596b3o1616b3o1021b3o$10596bo2bo
1615bob2o1020b3o$10596bo1619b3o1020b3o$10596bo3bo1615b3o1020b2o$3655b
3o5796b3o1136b2o5bo1615b3o$3654b5o5794b5o1131b3obobo238b3o1379b2o$
3654b3ob2o5792b2ob3o1131b3o3bo3bo236bo$3657b2o5794b2o1140bo2bo236bo$
10595b3o2633b3o$13231bo2bo$10590bo1617b3o1020bo$10589b3o1616bo2bo1019b
o3bo$2350b3o8235b2obo1616bo1022bo3bo$2350bo8237b3o1617bo3bo1018bo$
2351bo8236b3o1617bo3bo1019bobo$10588b3o1617bo$10589b2o1618bobo$10711b
3o$10713bo$10712bo3$4432b3o4242b3o$4431b5o4240b5o$2473b3o1955b3ob2o
4238b2ob3o$2473bo1960b2o4240b2o$2474bo7$10533bo$10476bo56b2o239b3o$
3775b3o5556b3o1137bo3bo53bobo241bo$3774b5o5554b5o1135bo301bo$3774b3ob
2o5552b2ob3o1135bo4bo$2bo3774b2o5554b2o1138b5o$b3o$2obo1021bo1627bo$3o
1021b3o1383b3o230b3o6b2o$3o1020b2obo1383bo231bo2bo6bobo$3o1020b3o1385b
o233bo$b2o1020b3o1615bo3bo$1023b3o1615bo3bo$1024b2o1619bo8005b3o$2642b
obo8008bo$10652bo$8b3o$7bo2bo$10bo1020b3o1617bo$6bo3bo1019bo2bo1616b3o
$6bo3bo1022bo1499b3o114bob2o1898b3o4002b3o$10bo1018bo3bo1499bo117b3o
1897b5o4000b5o$7bobo1019bo3bo1500bo116b3o1897b3ob2o3998b2ob3o$1033bo
1617b3o1900b2o4000b2o$1030bobo1618b2o5$10473bo$10473b2o239b3o$10472bob
o241bo$2755bo7600bo358bo$2753bo3bo1137b3o5316b3o1137bo3bo$2758bo1135b
5o5314b5o1135bo$2753bo4bo1135b3ob2o5312b2ob3o1135bo4bo$2713bo40b5o
1138b2o5314b2o1138b5o$2470b3o239b2o$2470bo241bobo$2471bo3$10591b3o$
10593bo$10592bo5$2593b3o$2593bo$2594bo2077b3o3762b3o$4671b5o3760b5o$
4671b3ob2o3758b2ob3o4798bo$4674b2o3760b2o4800b3o$12216bo1021bob2o$
10596b3o1616b3o1021b3o$10596bo2bo1615bob2o1020b3o$10413bo182bo1619b3o
1020b3o$10413b2o181bo3bo53b3o1559b3o1020b2o$10412bobo181bo3bo55bo1559b
3o$10596bo58bo1560b2o$10597bobo$2875bo7360bo$2873bo3bo1137b3o5076b3o
1137bo3bo2992b3o$2773bo104bo1135b5o5074b5o1135bo2997bo2bo$2530b3o239b
2o99bo4bo1135b3ob2o5072b2ob3o1135bo4bo351bo1617b3o1020bo$2530bo241bobo
99b5o1138b2o5074b2o1138b5o351b3o1616bo2bo1019bo3bo$2531bo8056b2obo
1616bo1022bo3bo$10588b3o1617bo3bo1018bo$10588b3o1617bo3bo1019bobo$
10531b3o54b3o1617bo$10533bo55b2o1618bobo$10532bo5$2653b3o$2653bo$2654b
o2$4792b3o3522b3o$4791b5o3520b5o$4791b3ob2o3518b2ob3o$4794b2o3520b2o2$
10353bo$10353b2o239b3o$10352bobo241bo$10595bo4$2bo2830bo161bo7120bo$b
3o2586b3o239b2o159bo3bo1137b3o4836b3o1137bo3bo$2obo1021bo1564bo241bobo
163bo1135b5o4834b5o1135bo$3o1021b3o1564bo51b3o347bo4bo1135b3ob2o4832b
2ob3o1135bo4bo$3o1020b2obo1615bo2bo348b5o1138b2o4834b2o1138b5o$3o1020b
3o1619bo$b2o1020b3o1615bo3bo7825b3o$1023b3o1615bo3bo7827bo$1024b2o
1619bo7826bo$2642bobo2$8b3o$7bo2bo$10bo1020b3o1617bo61b3o$6bo3bo1019bo
2bo1616b3o60bo$6bo3bo1022bo1616bob2o60bo$10bo1018bo3bo1617b3o$7bobo
1019bo3bo1617b3o$1033bo1617b3o$1030bobo1618b2o2259b3o3282b3o$4911b5o
3280b5o$4911b3ob2o3278b2ob3o$4914b2o3280b2o2095bo$10293b2o239b3o$
10292bobo241bo$10535bo4$2893bo$2650b3o239b2o$2650bo241bobo220bo6880bo$
2651bo461bo3bo1137b3o4596b3o1137bo3bo$3118bo1135b5o4594b5o1135bo$3113b
o4bo1135b3ob2o4592b2ob3o1135bo4bo$3114b5o1138b2o4594b2o1138b5o413b3o$
10413bo$10412bo5$2773b3o$2773bo$2774bo4$13239bo$13238b3o$5032b3o3042b
3o4136bo1021bob2o$5031b5o3040b5o2152bo362b3o1616b3o1021b3o$5031b3ob2o
3038b2ob3o2152b2o239b3o119bo2bo1615bob2o1020b3o$5034b2o3040b2o2154bobo
241bo119bo1619b3o1020b3o$10475bo120bo3bo1615b3o1020b2o$10596bo3bo1615b
3o$10596bo1619b2o$10597bobo$2953bo$2710b3o239b2o10277b3o$2710bo241bobo
10276bo2bo$2711bo7878bo1617b3o1020bo$3235bo6640bo712b3o1616bo2bo1019bo
3bo$3233bo3bo1137b3o4356b3o1137bo3bo709b2obo1616bo1022bo3bo$3238bo
1135b5o4354b5o1135bo477b3o234b3o1617bo3bo1018bo$3233bo4bo1135b3ob2o
4352b2ob3o1135bo4bo474bo234b3o1617bo3bo1019bobo$3234b5o1138b2o4354b2o
1138b5o474bo235b3o1617bo$10589b2o1618bobo4$2833b3o$2833bo$2834bo7$
10173bo$5152b3o2802b3o2213b2o239b3o$5151b5o2800b5o2211bobo241bo$5151b
3ob2o2798b2ob3o2454bo$5154b2o2800b2o3$3013bo$2770b3o239b2o$2bo2767bo
241bobo$b3o2767bo$2obo1021bo$3o1021b3o1616b3o$3o1020b2obo1615bo2bo709b
o6400bo534b3o$3o1020b3o1619bo707bo3bo1137b3o4116b3o1137bo3bo534bo$b2o
1020b3o1615bo3bo712bo1135b5o4114b5o1135bo538bo$1023b3o1615bo3bo707bo4b
o1135b3ob2o4112b2ob3o1135bo4bo$1024b2o1619bo708b5o1138b2o4114b2o1138b
5o$2642bobo2$8b3o2882b3o$7bo2bo2882bo$10bo1020b3o1617bo242bo$6bo3bo
1019bo2bo1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo3bo1617b3o$7bobo1019b
o3bo1617b3o$1033bo1617b3o$1030bobo1618b2o$10113bo$10113b2o239b3o$
10112bobo241bo$5272b3o2562b3o2515bo$5271b5o2560b5o$5271b3ob2o2558b2ob
3o$5274b2o2560b2o$3073bo$2830b3o239b2o$2830bo241bobo$2831bo3$10231b3o$
10233bo$3475bo6160bo595bo$3473bo3bo1137b3o3876b3o1137bo3bo$3478bo1135b
5o3874b5o1135bo$3473bo4bo1135b3ob2o3872b2ob3o1135bo4bo$3474b5o1138b2o
3874b2o1138b5o$2953b3o$2953bo$2954bo6$13239bo$10053bo3184b3o$10053b2o
239b3o1919bo1021bob2o$10052bobo241bo299b3o1616b3o1021b3o$10295bo300bo
2bo1615bob2o1020b3o$10596bo1619b3o1020b3o$5392b3o2322b3o2876bo3bo1615b
3o1020b2o$5391b5o2320b5o2875bo3bo1615b3o$3133bo2257b3ob2o2318b2ob3o
2875bo1619b2o$2890b3o239b2o2260b2o2320b2o2879bobo$2890bo241bobo$2891bo
10339b3o$13231bo2bo$10590bo1617b3o1020bo$10171b3o415b3o1616bo2bo1019bo
3bo$10173bo414b2obo1616bo1022bo3bo$10172bo415b3o1617bo3bo1018bo$10588b
3o1617bo3bo1019bobo$3595bo5920bo1071b3o1617bo$3593bo3bo1137b3o3636b3o
1137bo3bo1070b2o1618bobo$3598bo1135b5o3634b5o1135bo$3013b3o577bo4bo
1135b3ob2o3632b2ob3o1135bo4bo$3013bo580b5o1138b2o3634b2o1138b5o$3014bo
7$9993bo$9993b2o239b3o$9992bobo241bo$10235bo4$3193bo2318b3o2082b3o$
2950b3o239b2o2317b5o2080b5o$2950bo241bobo2316b3ob2o2078b2ob3o$2951bo
2562b2o2080b2o$2bo$b3o$2obo1021bo9085b3o$3o1021b3o1616b3o7467bo$3o
1020b2obo1615bo2bo7466bo$3o1020b3o1619bo$b2o1020b3o1615bo3bo$1023b3o
1615bo3bo$1024b2o1619bo1069bo5680bo$2642bobo428b3o637bo3bo1137b3o3396b
3o1137bo3bo$3073bo644bo1135b5o3394b5o1135bo$8b3o3063bo638bo4bo1135b3ob
2o3392b2ob3o1135bo4bo$7bo2bo3703b5o1138b2o3394b2o1138b5o$10bo1020b3o
1617bo$6bo3bo1019bo2bo1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo3bo1617b
3o$7bobo1019bo3bo1617b3o$1033bo1617b3o7279bo$1030bobo1618b2o7280b2o
239b3o$9932bobo241bo$10175bo4$3253bo$3010b3o239b2o$3010bo241bobo2377b
3o1842b3o$3011bo2619b5o1840b5o$5631b3ob2o1838b2ob3o$5634b2o1840b2o$
10051b3o$10053bo$10052bo5$3133b3o$3133bo701bo5440bo$3134bo698bo3bo
1137b3o3156b3o1137bo3bo$3838bo1135b5o3154b5o1135bo$3833bo4bo1135b3ob2o
3152b2ob3o1135bo4bo$3834b5o1138b2o3154b2o1138b5o4$9873bo$9873b2o239b3o
3122bo$9872bobo241bo3121b3o$10115bo2100bo1021bob2o$10596b3o1616b3o
1021b3o$10596bo2bo1615bob2o1020b3o$10596bo1619b3o1020b3o$3313bo7282bo
3bo1615b3o1020b2o$3070b3o239b2o7282bo3bo1615b3o$3070bo241bobo7281bo
1619b2o$3071bo7525bobo$5752b3o1602b3o$5751b5o1600b5o5870b3o$5751b3ob2o
1598b2ob3o2630b3o3237bo2bo$5754b2o1600b2o2635bo596bo1617b3o1020bo$
9992bo596b3o1616bo2bo1019bo3bo$10588b2obo1616bo1022bo3bo$10588b3o1617b
o3bo1018bo$10588b3o1617bo3bo1019bobo$10588b3o1617bo$3193b3o7393b2o
1618bobo$3193bo$3194bo$3955bo5200bo$3953bo3bo1137b3o2916b3o1137bo3bo$
3958bo1135b5o2914b5o1135bo$3953bo4bo1135b3ob2o2912b2ob3o1135bo4bo$
3954b5o1138b2o2914b2o1138b5o2$9813bo$9813b2o239b3o$9812bobo241bo$
10055bo4$3373bo$3130b3o239b2o$3130bo241bobo$3131bo3$2bo5869b3o1362b3o
2691b3o$b3o5867b5o1360b5o2692bo$2obo1021bo4845b3ob2o1358b2ob3o2691bo$
3o1021b3o1616b3o3228b2o1360b2o$3o1020b2obo1615bo2bo$3o1020b3o1619bo$b
2o1020b3o1615bo3bo$1023b3o1615bo3bo607b3o$1024b2o1619bo607bo$2642bobo
609bo2$8b3o$7bo2bo4064bo4960bo$10bo1020b3o1617bo1421bo3bo1137b3o2676b
3o1137bo3bo$6bo3bo1019bo2bo1616b3o1425bo1135b5o2674b5o1135bo$6bo3bo
1022bo1616bob2o1419bo4bo1135b3ob2o2672b2ob3o1135bo4bo$10bo1018bo3bo
1617b3o1420b5o1138b2o2674b2o1138b5o715bo$7bobo1019bo3bo1617b3o7099b2o
239b3o$1033bo1617b3o7098bobo241bo$1030bobo1618b2o7342bo4$3433bo$3190b
3o239b2o$3190bo241bobo$3191bo3$9871b3o$9873bo$5992b3o1122b3o2752bo$
5991b5o1120b5o$5991b3ob2o1118b2ob3o$5994b2o1120b2o2$3313b3o$3313bo$
3314bo5$4195bo4720bo$4193bo3bo1137b3o2436b3o1137bo3bo$4198bo1135b5o
2434b5o1135bo779bo$4193bo4bo1135b3ob2o2432b2ob3o1135bo4bo774b2o239b3o$
4194b5o1138b2o2434b2o1138b5o774bobo241bo$9935bo3303bo$13238b3o$12216bo
1021bob2o$10596b3o1616b3o1021b3o$3493bo7102bo2bo1615bob2o1020b3o$3250b
3o239b2o7102bo1619b3o1020b3o$3250bo241bobo7101bo3bo1615b3o1020b2o$
3251bo7344bo3bo1615b3o$10596bo1619b2o$10597bobo$9811b3o$9813bo3417b3o$
9812bo3418bo2bo$10590bo1617b3o1020bo$6112b3o882b3o3589b3o1616bo2bo
1019bo3bo$6111b5o880b5o3587b2obo1616bo1022bo3bo$6111b3ob2o878b2ob3o
3587b3o1617bo3bo1018bo$3373b3o2738b2o880b2o3590b3o1617bo3bo1019bobo$
3373bo7214b3o1617bo$3374bo7214b2o1618bobo7$4315bo4480bo836bo$4313bo3bo
1137b3o2196b3o1137bo3bo834b2o239b3o$4318bo1135b5o2194b5o1135bo838bobo
241bo$4313bo4bo1135b3ob2o2192b2ob3o1135bo4bo1076bo$4314b5o1138b2o2194b
2o1138b5o3$3553bo$3310b3o239b2o$3310bo241bobo$3311bo3$9751b3o$9753bo$
2bo9749bo$b3o$2obo1021bo$3o1021b3o1616b3o$3o1020b2obo1615bo2bo3586b3o
642b3o$3o1020b3o1619bo787b3o2795b5o640b5o$b2o1020b3o1615bo3bo787bo
2797b3ob2o638b2ob3o$1023b3o1615bo3bo788bo2799b2o640b2o$1024b2o1619bo$
2642bobo2$8b3o$7bo2bo$10bo1020b3o1617bo$6bo3bo1019bo2bo1616b3o6920bo$
6bo3bo1022bo1616bob2o6919b2o239b3o$10bo1018bo3bo1617b3o1781bo4240bo
895bobo241bo$7bobo1019bo3bo1617b3o1779bo3bo1137b3o1956b3o1137bo3bo
1136bo$1033bo1617b3o1784bo1135b5o1954b5o1135bo$1030bobo1618b2o1780bo4b
o1135b3ob2o1952b2ob3o1135bo4bo$4434b5o1138b2o1954b2o1138b5o$3613bo$
3370b3o239b2o$3370bo241bobo$3371bo3$9691b3o$9693bo$9692bo5$3493b3o$
3493bo2858b3o402b3o$3494bo2856b5o400b5o$6351b3ob2o398b2ob3o$6354b2o
400b2o5$9513bo$9513b2o239b3o$9512bobo241bo$9755bo$4555bo4000bo$4553bo
3bo1137b3o1716b3o1137bo3bo4680bo$4558bo1135b5o1714b5o1135bo4684b3o$
3673bo879bo4bo1135b3ob2o1712b2ob3o1135bo4bo3657bo1021bob2o$3430b3o239b
2o880b5o1138b2o1714b2o1138b5o2038b3o1616b3o1021b3o$3430bo241bobo6921bo
2bo1615bob2o1020b3o$3431bo7164bo1619b3o1020b3o$10596bo3bo1615b3o1020b
2o$10596bo3bo1615b3o$9631b3o962bo1619b2o$9633bo963bobo$9632bo$13231b3o
$13231bo2bo$10590bo1617b3o1020bo$10589b3o1616bo2bo1019bo3bo$3553b3o
7032b2obo1616bo1022bo3bo$3553bo7034b3o1617bo3bo1018bo$3554bo7033b3o
1617bo3bo1019bobo$6472b3o162b3o3948b3o1617bo$6471b5o160b5o3948b2o1618b
obo$6471b3ob2o158b2ob3o$6474b2o160b2o3$9453bo$9453b2o239b3o$9452bobo
241bo$9695bo3$4675bo3760bo$3733bo939bo3bo1137b3o783b3o690b3o1137bo3bo$
3490b3o239b2o944bo1135b5o781bo2bo689b5o1135bo$3490bo241bobo938bo4bo
1135b3ob2o779bo4bo687b2ob3o1135bo4bo$3491bo1182b5o1138b2o782bo691b2o
1138b5o2$6602b2o$6601bobo2967b3o$6520bo80bobo2969bo$6519b2o3051bo$
6518bo88bo$2bo6516b2o84bo$b3o6515bobo83b2o$2obo1021bo5494bo$3o1021b3o
1616b3o967b3o2904bobo$3o1020b2obo1615bo2bo967bo2910bo71bo$3o1020b3o
1619bo968bo2907bobo70bo$b2o1020b3o1615bo3bo3949b3o$1023b3o1615bo3bo$
1024b2o1619bo$2642bobo2$8b3o$7bo2bo9382bo$10bo1020b3o1617bo3871b2o72b
2o2794b2o239b3o$6bo3bo1019bo2bo1616b3o3859bo10b2o72b2o2793bobo241bo$6b
o3bo1022bo1616bob2o6981bo$10bo1018bo3bo1617b3o$7bobo1019bo3bo1617b3o$
1033bo1617b3o$1030bobo1618b2o1140bo$3550b3o239b2o1001bo3520bo$3550bo
241bobo998bo3bo1137b3o1236b3o1137bo3bo$3551bo1246bo1135b5o1234b5o1135b
o$4793bo4bo1135b3ob2o1232b2ob3o1135bo4bo$4794b5o1138b2o1234b2o1138b5o$
9511b3o$9513bo$9512bo4$6515b2o88b2o$3673b3o2839b2o88b2o$3673bo$3674bo
7$9333bo$9333b2o239b3o$9332bobo241bo$6523b2o72b2o2976bo$6523b2o72b2o3$
3853bo9385bo$3610b3o239b2o9384b3o$3610bo241bobo8361bo1021bob2o$3611bo
1303bo3280bo2399b3o1616b3o1021b3o$4913bo3bo1137b3o996b3o1137bo3bo2397b
o2bo1615bob2o1020b3o$4918bo1135b5o994b5o1135bo2402bo1619b3o1020b3o$
4913bo4bo1135b3ob2o992b2ob3o1135bo4bo1252b3o1142bo3bo1615b3o1020b2o$
4914b5o1138b2o994b2o1138b5o1255bo1142bo3bo1615b3o$9452bo1143bo1619b2o$
10597bobo2$13231b3o$13231bo2bo$3733b3o6854bo1617b3o1020bo$3733bo2781b
2o88b2o3982b3o1616bo2bo1019bo3bo$3734bo2780b2o88b2o3981b2obo1616bo
1022bo3bo$10588b3o1617bo3bo1018bo$10588b3o1617bo3bo1019bobo$6457bobo
4128b3o1617bo$6457b2o4130b2o1618bobo$6458bo2$9273bo$6667bobo2603b2o
239b3o$6668b2o2602bobo241bo$6668bo2846bo2$6523b2o72b2o$6523b2o72b2o$
3913bo$3670b3o239b2o$3670bo241bobo$3671bo2$5035bo3040bo$5033bo3bo1137b
3o756b3o1137bo3bo1312b3o$5038bo1135b5o754b5o1135bo1319bo$5033bo4bo
1135b3ob2o752b2ob3o1135bo4bo1313bo$5034b5o1138b2o754b2o1138b5o3$2bo$b
3o3789b3o2784bo$2obo1021bo2767bo2787bo$3o1021b3o1616b3o1148bo2784b3o$
3o1020b2obo1615bo2bo3869b2o88b2o$3o1020b3o1619bo3869b2o88b2o$b2o1020b
3o1615bo3bo3890bo$1023b3o1615bo3bo3889bo$1024b2o1619bo3889b3o$2642bobo
$9213bo$8b3o9202b2o239b3o$7bo2bo9201bobo241bo$10bo1020b3o1617bo6803bo$
6bo3bo1019bo2bo1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo3bo1617b3o$7bob
o1019bo3bo1617b3o1319bo2549b2o72b2o$1033bo1617b3o1076b3o239b2o2549b2o
72b2o$1030bobo1618b2o1077bo241bobo$3731bo3$9331b3o$5155bo2800bo1376bo$
5153bo3bo1137b3o516b3o1137bo3bo1373bo$5158bo1135b5o514b5o1135bo$5153bo
4bo1135b3ob2o512b2ob3o1135bo4bo$5154b5o1138b2o514b2o1138b5o2$3853b3o$
3853bo$3854bo3$6515b2o88b2o$6515b2o88b2o3$9153bo$9153b2o239b3o$9152bob
o241bo$9395bo4$4033bo$3790b3o239b2o2567b3o$3790bo241bobo2565bo2bo6635b
o$3791bo2807bo4bo6633b3o$6601bo5614bo1021bob2o$10596b3o1616b3o1021b3o$
6602b2o2667b3o1322bo2bo1615bob2o1020b3o$6601bobo2669bo1322bo1619b3o
1020b3o$6520bo80bobo2668bo1323bo3bo1615b3o1020b2o$5275bo1128bo114b2o
196bo1118bo2759bo3bo1615b3o$5273bo3bo1125bobo112bo88bo108bobo1115bo3bo
2757bo1619b2o$5278bo1124bobo113b2o84bo110bobo1114bo2763bobo$5273bo4bo
1125bo114bobo83b2o110bo1115bo4bo$3913b3o1358b5o1241bo1312b5o5393b3o$
3913bo2606bobo6708bo2bo$3914bo2609bo71bo3993bo1617b3o1020bo$6522bobo
70bo3993b3o1616bo2bo1019bo3bo$6595b3o3990b2obo1616bo1022bo3bo$10588b3o
1617bo3bo1018bo$10588b3o1617bo3bo1019bobo$10588b3o1617bo$10589b2o1618b
obo$9093bo$9093b2o239b3o$6523b2o72b2o2493bobo241bo$6512bo10b2o72b2o
2736bo4$4093bo$3850b3o239b2o$3850bo241bobo$3851bo3$9211b3o$9213bo$
9212bo3$5395bo1008bo312bo998bo$5393bo3bo1005bobo310bobo995bo3bo$3973b
3o1422bo1004bobo109b2o88b2o109bobo994bo$2bo3970bo1419bo4bo1005bo110b2o
88b2o110bo995bo4bo$b3o3970bo1419b5o2314b5o$2obo1021bo$3o1021b3o1616b3o
$3o1020b2obo1615bo2bo$3o1020b3o1619bo$b2o1020b3o1615bo3bo$1023b3o1615b
o3bo$1024b2o1619bo$2642bobo6629b3o$9276bo$8b3o9264bo$7bo2bo6512b2o72b
2o$10bo1020b3o1617bo3871b2o72b2o$6bo3bo1019bo2bo1616b3o$6bo3bo1022bo
1616bob2o1499bo$10bo1018bo3bo1617b3o1256b3o239b2o$7bobo1019bo3bo1617b
3o1256bo241bobo$1033bo1617b3o1257bo$1030bobo1618b2o2$9151b3o$9153bo$
9152bo5$4033b3o1479bo888bo312bo878bo$4033bo1479bo3bo885bobo310bobo875b
o3bo$4034bo1483bo884bobo109b2o88b2o109bobo874bo$5513bo4bo885bo110b2o
88b2o110bo875bo4bo$5514b5o2074b5o2$6457bobo$6457b2o$6458bo2$9214b3o$
6667bobo2546bo$6668b2o2545bo$6668bo2$6523b2o72b2o$6523b2o72b2o$3970b3o
$3970bo$3971bo$13239bo$13238b3o$12216bo1021bob2o$10596b3o1616b3o1021b
3o$10596bo2bo1615bob2o1020b3o$10596bo1619b3o1020b3o$10596bo3bo1615b3o
1020b2o$10596bo3bo1615b3o$10596bo1619b2o$4093b3o6501bobo$4093bo2486bo$
4094bo1540bo768bo176bo135bo758bo5754b3o$5633bo3bo765bobo173b3o134bobo
755bo3bo5752bo2bo$5638bo764bobo109b2o88b2o109bobo754bo3116bo1617b3o
1020bo$5633bo4bo765bo110b2o88b2o110bo755bo4bo3110b3o1616bo2bo1019bo3bo
$5634b5o897bo936b5o3110b2obo1616bo1022bo3bo$6535bo4052b3o1617bo3bo
1018bo$6535b3o4050b3o1617bo3bo1019bobo$10588b3o1617bo$9154b3o1432b2o
1618bobo$9156bo$9155bo5$4030b3o2490b2o72b2o$4030bo2492b2o72b2o$4031bo
13$2bo$b3o5751bo648bo312bo638bo$2obo1021bo4727bo3bo645bobo310bobo635bo
3bo$3o1021b3o1616b3o3112bo644bobo109b2o88b2o109bobo634bo$3o1020b2obo
1615bo2bo3107bo4bo645bo110b2o88b2o110bo635bo4bo$3o1020b3o1619bo3108b5o
1594b5o$b2o1020b3o1615bo3bo$1023b3o1615bo3bo$1024b2o1619bo$2642bobo2$
8b3o$7bo2bo$10bo1020b3o1617bo$6bo3bo1019bo2bo1616b3o1437b3o$6bo3bo
1022bo1616bob2o1436bo$10bo1018bo3bo1617b3o1437bo$7bobo1019bo3bo1617b3o
$1033bo1617b3o$1030bobo1618b2o13$5875bo1360bo$5873bo3bo1356bo3bo$5878b
o526b2o108b2o88b2o108b2o516bo$5873bo4bo526b2o108b2o88b2o108b2o516bo4bo
$5874b5o1354b5o12$13239bo$13238b3o$12216bo1021bob2o$10596b3o1616b3o
1021b3o$10596bo2bo1615bob2o1020b3o$10596bo1619b3o1020b3o$10596bo3bo
1615b3o1020b2o$10596bo3bo1615b3o$10596bo1619b2o$10597bobo2$13231b3o$
13231bo2bo$10590bo1617b3o1020bo$10589b3o1616bo2bo1019bo3bo$5995bo1120b
o3471b2obo1616bo1022bo3bo$5993bo3bo1116bo3bo3469b3o1617bo3bo1018bo$
5998bo406b2o108b2o88b2o108b2o396bo3474b3o1617bo3bo1019bobo$5993bo4bo
406b2o108b2o88b2o108b2o396bo4bo3469b3o1617bo$5994b5o1114b5o3471b2o
1618bobo22$2bo$b3o$2obo1021bo$3o1021b3o1616b3o$3o1020b2obo1615bo2bo$3o
1020b3o1619bo3469bo880bo$b2o1020b3o1615bo3bo3467bo3bo876bo3bo$1023b3o
1615bo3bo3472bo286b2o108b2o88b2o108b2o276bo$1024b2o1619bo3467bo4bo286b
2o108b2o88b2o108b2o276bo4bo$2642bobo3469b5o874b5o2$8b3o$7bo2bo$10bo
1020b3o1617bo$6bo3bo1019bo2bo1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo
3bo1617b3o$7bobo1019bo3bo1617b3o$1033bo1617b3o$1030bobo1618b2o17$6235b
o640bo$6233bo3bo636bo3bo$6238bo166b2o108b2o88b2o108b2o156bo$6233bo4bo
166b2o108b2o88b2o108b2o156bo4bo$6234b5o634b5o8$13239bo$13238b3o$12216b
o1021bob2o$10596b3o1616b3o1021b3o$10596bo2bo1615bob2o1020b3o$10596bo
1619b3o1020b3o$10596bo3bo1615b3o1020b2o$10596bo3bo1615b3o$10596bo1619b
2o$6824bobo3770bobo$6822bo4bo$6822bo4bo6403b3o$6826b2o6403bo2bo$10590b
o1617b3o1020bo$6822b2o2b2o3761b3o1616bo2bo1019bo3bo$6297bo524b2o2b2o
3760b2obo1616bo1022bo3bo$6296b3o524bob3o3760b3o1617bo3bo1018bo$6295bo
2bo527bo3761b3o1617bo3bo1019bobo$6295b2o528bo3762b3o1617bo$6296bo4292b
2o1618bobo$6298b2o$6296b4o105b2o108b2o88b2o108b2o$6295bo2bo106b2o108b
2o88b2o108b2o$6297bo$6287b2o545bo$6287b2o7bobo524b2o10bo$6297b2o524b2o
10b2o$6833bob2o2$6834bo2$6286bo$6285bobo$6285bobo$6286b2o$6285b3o6$2bo
$b3o$2obo1021bo5263b2o540b2o$3o1021b3o1616b3o3643b2o540b2o$3o1020b2obo
1615bo2bo$3o1020b3o1619bo$b2o1020b3o1615bo3bo$1023b3o1615bo3bo$1024b2o
1619bo$2642bobo2$8b3o6394b2o108b2o88b2o108b2o$7bo2bo6394b2o108b2o88b2o
108b2o$10bo1020b3o1617bo$6bo3bo1019bo2bo1616b3o$6bo3bo1022bo1616bob2o
3643b2o524b2o$10bo1018bo3bo1617b3o3643b2o524b2o$7bobo1019bo3bo1617b3o$
1033bo1617b3o$1030bobo1618b2o14$6289b2o540b2o$6289b2o540b2o8$6405b2o
108b2o88b2o108b2o$6405b2o108b2o88b2o108b2o3$6297b2o524b2o$6297b2o524b
2o$6715bo6523bo$6405b2o307bobob3o111bo6405b3o$6406bo300b3o3b2ob4o112b
2o5382bo1021bob2o$6707b5o2bo116bobo3762b3o1616b3o1021b3o$6405bo5bo2bo
296bo3bo3b2o3b2o3870bo2bo1615bob2o1020b3o$6404bo6bo2bo291b5o4bo5bobo2b
o3b3o3863bo1619b3o1020b3o$6294bo94bo13b2o4bo5bo290bo11b3o6bo2bo3865bo
3bo1615b3o1020b2o$6293b2o92b2ob2o6b2o3bo5bobob2o292bobo10bo3b3o2b2obo
3863bo3bo1615b3o$6293bobo51bobo38bo2bo6b2o2bob2obobo4bo285bobo5b2o11b
3o3bob2obo3863bo1619b2o$6348b2o39b2o11bobob8o286b2o20bo4b2obo3866bobo$
6348bo54b9o289bo23bo$6410bo314bo2b3o6500b3o$6729bo4bo6496bo2bo$6729bo
4bo32bobo3820bo1617b3o1020bo$6730bo2bo33b2o3820b3o1616bo2bo1019bo3bo$
6768bo3819b2obo1616bo1022bo3bo$6289b2o114b2o308b2o114b2o3755b3o1617bo
3bo1018bo$6289b2o114b2o308b2o114b2o3755b3o1617bo3bo1019bobo$10588b3o
1617bo$10589b2o1618bobo6$6515b2o88b2o$6515b2o88b2o$6389bo$6388bo$6297b
2o89b3o6b2o324b2o98b2o$6297b2o98b2o324b2o47bo50b2o$6772b2o$6737bo33bob
o$6738bo$6736b3o$6354bo$6353b2o$6353bobo4$2bo$b3o$2obo1021bo$3o1021b3o
1616b3o$3o1020b2obo1615bo2bo$3o1020b3o1619bo$b2o1020b3o1615bo3bo3643b
2o114b2o308b2o114b2o$1023b3o1615bo3bo3643b2o114b2o308b2o114b2o$1024b2o
1619bo$2642bobo2$8b3o$7bo2bo$10bo1020b3o1617bo$6bo3bo1019bo2bo1616b3o$
6bo3bo1022bo1616bob2o3866b3o$10bo1018bo3bo1617b3o3865bo3bo74b2o$7bobo
1019bo3bo1617b3o3865bo78bobo$1033bo1617b3o3859b2o9bo74b2o6b2o103bo$
1030bobo1618b2o3644b2o98b2o114b2o5b2ob2o74b2o6b2o103b2o9b2o98b2o$6297b
2o98b2o121bo74bobobo111bobo9b2o98b2o$6596b2o$6596bob2o4bobo$6414bo190b
2o$6413b2o190bo$6413bobo2$6524bo$6522b3o$6511b2o9b3o84b2o$6511b2o96b2o
7$6289b2o114b2o108b2o88b2o108b2o114b2o$6289b2o114b2o108b2o88b2o108b2o
114b2o9$6652bo$6652b2o6585bo$6651bobo6584b3o$6297b2o224b2o72b2o224b2o
5391bo1021bob2o$6297b2o224b2o72b2o224b2o3771b3o1616b3o1021b3o$6474bo
4121bo2bo1615bob2o1020b3o$6473b2o4121bo1619b3o1020b3o$6473bobo4120bo3b
o1615b3o1020b2o$10596bo3bo1615b3o$10596bo1619b2o$10597bobo$6472b2o$
13231b3o$13231bo2bo$10590bo1617b3o1020bo$10589b3o1616bo2bo1019bo3bo$
10588b2obo1616bo1022bo3bo$10588b3o1617bo3bo1018bo$10588b3o1617bo3bo
1019bobo$10588b3o1617bo$10589b2o1618bobo$6289b2o114b2o108b2o88b2o108b
2o114b2o$6289b2o114b2o108b2o88b2o108b2o114b2o8$6329bo$6328bo$6328b3o2$
6297b2o224b2o72b2o224b2o$6297b2o224b2o39bobo30b2o198bo25b2o$6565b2o
231bo$6565bo230b3o3$6550bobo$6550b2o$2bo6548bo$b3o$2obo1021bo$3o1021b
3o1616b3o$3o1020b2obo1615bo2bo$3o1020b3o1619bo$b2o1020b3o1615bo3bo$
1023b3o1615bo3bo$1024b2o1619bo$2642bobo$6289b2o114b2o108b2o88b2o108b2o
114b2o$8b3o6278b2o114b2o108b2o88b2o108b2o114b2o$7bo2bo$10bo1020b3o
1617bo$6bo3bo1019bo2bo1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo3bo1617b
3o$7bobo1019bo3bo1617b3o$1033bo1617b3o$1030bobo1618b2o4$6297b2o224b2o
72b2o224b2o$6297b2o224b2o72b2o224b2o17$6289b2o114b2o108b2o88b2o108b2o
114b2o$6289b2o114b2o108b2o88b2o108b2o114b2o6$13239bo$13238b3o$12216bo
1021bob2o$10596b3o1616b3o1021b3o$10596bo2bo1615bob2o1020b3o$10596bo
1619b3o1020b3o$10596bo3bo1615b3o1020b2o$10596bo3bo1615b3o$10596bo1619b
2o$10597bobo2$13231b3o$13231bo2bo$10590bo1617b3o1020bo$10589b3o1616bo
2bo1019bo3bo$10588b2obo1616bo1022bo3bo$10588b3o1617bo3bo1018bo$10588b
3o1617bo3bo1019bobo$10588b3o1617bo$10589b2o1618bobo5$6289b2o114b2o108b
2o88b2o108b2o114b2o$6289b2o114b2o108b2o88b2o108b2o114b2o16$2bo$b3o$2ob
o1021bo$3o1021b3o1616b3o$3o1020b2obo1615bo2bo$3o1020b3o1619bo$b2o1020b
3o1615bo3bo$1023b3o1615bo3bo$1024b2o1619bo$2642bobo2$8b3o$7bo2bo$10bo
1020b3o1617bo$6bo3bo1019bo2bo1616b3o3636b2o114b2o108b2o88b2o108b2o114b
2o$6bo3bo1022bo1616bob2o3635b2o114b2o108b2o88b2o108b2o114b2o$10bo1018b
o3bo1617b3o$7bobo1019bo3bo1617b3o$1033bo1617b3o$1030bobo1618b2o26$
6289b2o114b2o108b2o88b2o108b2o114b2o$6289b2o114b2o108b2o88b2o108b2o
114b2o2$13239bo$13238b3o$12216bo1021bob2o$10596b3o1616b3o1021b3o$
10596bo2bo1615bob2o1020b3o$10596bo1619b3o1020b3o$10596bo3bo1615b3o
1020b2o$10596bo3bo1615b3o$10596bo1619b2o$10597bobo2$13231b3o$13231bo2b
o$10590bo1617b3o1020bo$10589b3o1616bo2bo1019bo3bo$10588b2obo1616bo
1022bo3bo$10588b3o1617bo3bo1018bo$10588b3o1617bo3bo1019bobo$10588b3o
1617bo$10589b2o1618bobo9$6289b2o114b2o108b2o88b2o108b2o114b2o$6289b2o
114b2o108b2o88b2o108b2o114b2o12$2bo$b3o$2obo1021bo$3o1021b3o1616b3o$3o
1020b2obo1615bo2bo$3o1020b3o1619bo$b2o1020b3o1615bo3bo$1023b3o1615bo3b
o$1024b2o1619bo$2642bobo2$8b3o$7bo2bo$10bo1020b3o1617bo$6bo3bo1019bo2b
o1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo3bo1617b3o$7bobo1019bo3bo
1617b3o$1033bo1617b3o3635b2o114b2o108b2o88b2o108b2o114b2o$1030bobo
1618b2o3636b2o114b2o108b2o88b2o108b2o114b2o29$13239bo$6289b2o114b2o
108b2o88b2o108b2o114b2o6405b3o$6289b2o114b2o108b2o88b2o108b2o114b2o
5383bo1021bob2o$10596b3o1616b3o1021b3o$10596bo2bo1615bob2o1020b3o$
10596bo1619b3o1020b3o$10596bo3bo1615b3o1020b2o$10596bo3bo1615b3o$
10596bo1619b2o$10597bobo2$13231b3o$13231bo2bo$10590bo1617b3o1020bo$
10589b3o1616bo2bo1019bo3bo$10588b2obo1616bo1022bo3bo$10588b3o1617bo3bo
1018bo$10588b3o1617bo3bo1019bobo$10588b3o1617bo$10589b2o1618bobo13$
6289b2o114b2o108b2o88b2o108b2o114b2o$6289b2o114b2o108b2o88b2o108b2o
114b2o8$2bo$b3o$2obo1021bo$3o1021b3o1616b3o$3o1020b2obo1615bo2bo$3o
1020b3o1619bo$b2o1020b3o1615bo3bo$1023b3o1615bo3bo$1024b2o1619bo$2642b
obo2$8b3o$7bo2bo$10bo1020b3o1617bo$6bo3bo1019bo2bo1616b3o$6bo3bo1022bo
1616bob2o$10bo1018bo3bo1617b3o$7bobo1019bo3bo1617b3o$1033bo1617b3o$
1030bobo1618b2o3$6289b2o114b2o108b2o88b2o108b2o114b2o$6289b2o114b2o
108b2o88b2o108b2o114b2o25$13239bo$13238b3o$12216bo1021bob2o$10596b3o
1616b3o1021b3o$10596bo2bo1615bob2o1020b3o$6289b2o114b2o108b2o88b2o108b
2o114b2o3763bo1619b3o1020b3o$6289b2o114b2o108b2o88b2o108b2o114b2o3763b
o3bo1615b3o1020b2o$10596bo3bo1615b3o$10596bo1619b2o$10597bobo2$13231b
3o$13231bo2bo$10590bo1617b3o1020bo$10589b3o1616bo2bo1019bo3bo$10588b2o
bo1616bo1022bo3bo$10588b3o1617bo3bo1018bo$10588b3o1617bo3bo1019bobo$
10588b3o1617bo$10589b2o1618bobo17$6289b2o114b2o108b2o88b2o108b2o114b2o
$6289b2o114b2o108b2o88b2o108b2o114b2o4$2bo$b3o$2obo1021bo$3o1021b3o
1616b3o$3o1020b2obo1615bo2bo$3o1020b3o1619bo$b2o1020b3o1615bo3bo$1023b
3o1615bo3bo$1024b2o1619bo$2642bobo2$8b3o$7bo2bo$10bo1020b3o1617bo$6bo
3bo1019bo2bo1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo3bo1617b3o$7bobo
1019bo3bo1617b3o$1033bo1617b3o$1030bobo1618b2o7$6289b2o114b2o108b2o88b
2o108b2o114b2o$6289b2o114b2o108b2o88b2o108b2o114b2o21$13239bo$13238b3o
$12216bo1021bob2o$10596b3o1616b3o1021b3o$10596bo2bo1615bob2o1020b3o$
10596bo1619b3o1020b3o$10596bo3bo1615b3o1020b2o$10596bo3bo1615b3o$
10596bo1619b2o$6289b2o114b2o108b2o88b2o108b2o114b2o3764bobo$6289b2o
114b2o108b2o88b2o108b2o114b2o$13231b3o$13231bo2bo$10590bo1617b3o1020bo
$10589b3o1616bo2bo1019bo3bo$10588b2obo1616bo1022bo3bo$10588b3o1617bo3b
o1018bo$10588b3o1617bo3bo1019bobo$10588b3o1617bo$10589b2o1618bobo21$
6289b2o114b2o108b2o88b2o108b2o114b2o$2bo6286b2o114b2o108b2o88b2o108b2o
114b2o$b3o$2obo1021bo$3o1021b3o1616b3o$3o1020b2obo1615bo2bo$3o1020b3o
1619bo$b2o1020b3o1615bo3bo$1023b3o1615bo3bo$1024b2o1619bo$2642bobo2$8b
3o$7bo2bo$10bo1020b3o1617bo$6bo3bo1019bo2bo1616b3o$6bo3bo1022bo1616bob
2o$10bo1018bo3bo1617b3o$7bobo1019bo3bo1617b3o$1033bo1617b3o$1030bobo
1618b2o11$6289b2o114b2o108b2o88b2o108b2o114b2o$6289b2o114b2o108b2o88b
2o108b2o114b2o17$13239bo$13238b3o$12216bo1021bob2o$10596b3o1616b3o
1021b3o$10596bo2bo1615bob2o1020b3o$10596bo1619b3o1020b3o$10596bo3bo
1615b3o1020b2o$10596bo3bo1615b3o$10596bo1619b2o$10597bobo2$13231b3o$
13231bo2bo$6289b2o114b2o108b2o88b2o108b2o114b2o3757bo1617b3o1020bo$
6289b2o114b2o108b2o88b2o108b2o114b2o3756b3o1616bo2bo1019bo3bo$10588b2o
bo1616bo1022bo3bo$10588b3o1617bo3bo1018bo$10588b3o1617bo3bo1019bobo$
10588b3o1617bo$10589b2o1618bobo22$2bo$b3o$2obo1021bo$3o1021b3o1616b3o
3643b2o114b2o108b2o88b2o108b2o114b2o$3o1020b2obo1615bo2bo3643b2o114b2o
108b2o88b2o108b2o114b2o$3o1020b3o1619bo$b2o1020b3o1615bo3bo$1023b3o
1615bo3bo$1024b2o1619bo$2642bobo2$8b3o$7bo2bo$10bo1020b3o1617bo$6bo3bo
1019bo2bo1616b3o$6bo3bo1022bo1616bob2o$10bo1018bo3bo1617b3o$7bobo1019b
o3bo1617b3o$1033bo1617b3o$1030bobo1618b2o!


EDIT: made the pattern slightly simpler by replacing a R1L0B and R1L0F with the rephaser.
Last edited by chris_c on September 3rd, 2014, 9:22 am, edited 1 time in total.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 3rd, 2014, 8:36 am

codeholic wrote:There is yet another option, that I believe has been considered in the very beginning of this thread, namely shooting a "fast" forward glider salvo, that pushes the target by 31 cells forwards and emits a reverse forward glider... I think 5 gliders should be enough. The question is whether it would be actually easier than building a northbound *WSS.

Well... putting together the custom 2G Heisenburp rake reminded me that it's really fairly easy to hook up two backrakes and a forerake into a double kickback reaction, which can add a new glider to the front edge of a synchronized salvo. Adding four gliders incrementally in this way would make the kickback triangles pretty big, or require some extra headaches getting all the glider streams to cross each other without collisions -- but it's probably just as easy as building an upship stream, really.

Here are two sample kickback reactions, to show how close together the gliders can be placed with this method at 6hd distance:

#C allowable kickback glider positions at 6hd
x = 614, y = 279, rule = B3/S23
obo$b2o$bo2$260bo$260bobo$260b2o$348bobo$349b2o$349bo2$608bo$608bobo$
608b2o78$60bobo$61b2o$61bo2$200bo$200bobo$200b2o$408bobo$409b2o$409bo
2$548bo$548bobo$548b2o41$16bo5bo$15b2o4b2o$15bobo3bobo5$370bo$369b2o$
369bobo6$371b2o$371bobo$371bo12$76bo5bo$75b2o4b2o$75bobo3bobo5$430bo$
120bobo306b2o$121b2o306bobo$121bo2$140bo$140bobo$140b2o$431b2o35bobo$
431bobo35b2o$431bo37bo2$488bo$488bobo$488b2o8$136bo$135b2o$135bobo13$
491b2o$491bobo$491bo12$196bo$195b2o$195bobo13$551b2o$551bobo$551bo12$
256bo$255b2o$255bobo13$611b2o$611bobo$611bo!

You can place a new glider directly in front of an existing stream, even on the same lane, at almost the minimum distance -- you can do 15-tick spacing but not 14 ticks. You can even reach past the existing stream's lane and build new gliders farther southwest, as long as they're at the front of the salvo:

#C kickbacks at 0hd and -6hd
x = 674, y = 268, rule = B3/S23
obo402bobo$b2o403b2o$bo404bo2$260bo404bo$260bobo402bobo$260b2o403b2o
85$60bobo402bobo$61b2o403b2o$61bo404bo2$200bo404bo$200bobo402bobo$200b
2o403b2o47$431b2o$22bo404bo3bobo$21b2o403b2o3bo$21bobo402bobo2$25b2o$
25bobo$25bo22$491b2o$82bo404bo3bobo$81b2o403b2o3bo$81bobo402bobo2$85b
2o$85bobo$85bo2$120bobo402bobo$121b2o403b2o$121bo404bo2$140bo404bo$
140bobo402bobo$140b2o403b2o14$551b2o$551bobo$551bo3$145b2o$145bobo$
145bo22$611b2o$611bobo$611bo3$205b2o$205bobo$205bo22$671b2o$671bobo$
671bo3$265b2o$265bobo$265bo!

Anyway, I finished the last doubled rakes this morning -- see attached. If anyone sees any problems, let me know. I'll string together the doubled inner-HWSS recipe sometime soon.
Attachments
31c240-double-rake-stamp-collection-normalized.mc.gz
Two-sided forerakes, right side leading by 20 ticks
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 3rd, 2014, 12:12 pm

chris_c wrote:I built a nice and simple 116:110:90 front end using 6 lateral MWSS. It should definitely end up thinner than the shield bug design and following dvgrn's estimates I would guess shorter as well.

Nice! Now, why was I finding it so difficult to get all those glider and HWSS streams to cross, last time I tried something like that? Looks like you have a new trick for block trails #2 and #5, G+MWSS->beehive->block -- very elegant.

When you move a pair of HWSS streams out by 120 cells and up 31 cells (which keeps the output MWSSes in the same place) the supporting glider stream has to move down by 27 cells. This means that if you make spacing adjustments to the three-glider salvo supporting the 6HWSS->3MWSS reactions, the glider streams will drift in and out of conflict with the HWSS streams that they have to cross -- but it looks like there will be plenty of workable options.

So... if we make the width maybe two to four times as wide as this sample, it should be possible to build each forward stream with a separate rake, so no need to use kickbacks to synchronize a three-glider salvo. Kickbacks would require moving all three HWSS pairs out a similar distance, to make room for the kickback triangles, so it doesn't seem as if you could save any width there anyway.

-- But let's not allow this to distract us from the nearly complete shield-bug spaceship! We now have a complete shield-bug front end with the slow-salvo HWSS side puffers connected up to the inner HWSS streams on both sides. Just a few more adjuster rakes to sort out now, and we can use the exact same double HWSS side puffer again, and then bolt on the back end...!

[If anyone has trouble with the Dropbox download link, let me know -- conwaylife.com is suddenly reporting "Sorry, the board attachment quota has been reached.", so I can't attach the file. Haven't run up against that particular arbitrary limit before -- I wonder if it will relent if I go back and delete a few earlier now-useless attachments?]

EDIT: Oops, no, how silly of me: I found a way to add three gliders to get the old Heisenburp Herschel block back, and nothing else. But we don't actually need that! All that's left to be done is to shoot down the remaining block, then re-use the entire HWSS side puffer including the Heisenburp at the front. More shortly...
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 3rd, 2014, 8:23 pm

dvgrn wrote:Looks like you have a new trick for block trails #2 and #5, G+MWSS->beehive->block -- very elegant.

Thanks. It was a similar game to the forward rakes I made: inspect the junk that can be made by a sequence of gliders that are 9 cells apart and hope for the best. I was expecting to need 3 or 4 gliders altogether, some of which would not hit the target at all and would need to be cleaned up by some forward rakes from below. That it worked with just two gliders and no mess was a nice surprise.

dvgrn wrote:So... if we make the width maybe two to four times as wide as this sample, it should be possible to build each forward stream with a separate rake, so no need to use kickbacks to synchronize a three-glider salvo.


I built proper forerakes into the design and even managed to make it slightly thinner than the first example pattern. The width is less than 12,000 so judging by the length of your 55R HWSS rake, a complete spaceship of size 12,000x120,000 seems fairly possible.

x = 11654, y = 4616, rule = B3/S23
11633b3o$11635bo$11634bo3$23b3o$23bo$24bo$11651bo$11650b3o$11650bob2o$
11651b3o$11651b3o$11651b3o$11651b2o3$86b3o11466b3o$2bo82b5o11464b5o$b
3o81b3ob2o11462b2ob3o84b3o$2obo84b2o11464b2o87bo2bo$3o11640bo$3o11640b
o3bo$3o11640bo3bo$b2o11640bo$11644bobo4$8b3o11562b3o$7bo2bo11564bo$10b
o11563bo$6bo3bo$6bo3bo$10bo72b3o$7bobo73bo$84bo12$206b3o11226b3o$205b
5o11224b5o$205b3ob2o11222b2ob3o$208b2o11224b2o7$11513b3o$11515bo$
11514bo3$143b3o$143bo$144bo14$326b3o10986b3o$325b5o10984b5o$325b3ob2o
10982b2ob3o$328b2o10984b2o5$11453b3o$11455bo$11454bo3$203b3o$203bo$
204bo3$11651bo$11650b3o$11650bob2o$11651b3o$11651b3o$11651b3o$11651b2o
4$2bo$b3o11639b3o$2obo11639bo2bo$3o443b3o10746b3o445bo$3o442b5o10744b
5o444bo3bo$3o442b3ob2o10742b2ob3o444bo3bo$b2o445b2o10744b2o447bo$
11644bobo2$11393b3o$11395bo$8b3o11383bo$7bo2bo$10bo$6bo3bo252b3o$6bo3b
o252bo$10bo253bo$7bobo17$566b3o10506b3o$565b5o10504b5o$565b3ob2o10502b
2ob3o$568b2o10504b2o$11333b3o$11335bo$11334bo3$323b3o$323bo$324bo20$
686b3o10266b3o$685b5o10264b5o$685b3ob2o10262b2ob3o314b3o$688b2o10264b
2o319bo$11274bo3$383b3o$383bo$384bo5$11651bo$11650b3o$11650bob2o$
11651b3o$11651b3o$11651b3o$11651b2o4$2bo$b3o11639b3o$2obo11639bo2bo$3o
11640bo$3o11640bo3bo$3o11640bo3bo$b2o11640bo$806b3o10026b3o375b3o428bo
bo$805b5o10024b5o376bo$805b3ob2o10022b2ob3o375bo$808b2o10024b2o$8b3o$
7bo2bo432b3o$10bo432bo$6bo3bo433bo$6bo3bo$10bo$7bobo19$11153b3o$11155b
o$926b3o9786b3o436bo$925b5o9784b5o$925b3ob2o9782b2ob3o$503b3o422b2o
9784b2o$503bo$504bo22$11093b3o$11095bo$11094bo2$1046b3o9546b3o$563b3o
479b5o9544b5o$563bo481b3ob2o9542b2ob3o$564bo483b2o9544b2o7$11651bo$
11650b3o$11650bob2o$11651b3o$11651b3o$11651b3o$11651b2o4$2bo$b3o11639b
3o$2obo11639bo2bo$3o11640bo$3o11640bo3bo$3o11030b3o607bo3bo$b2o11032bo
607bo$11034bo609bobo3$623b3o$8b3o612bo542b3o9306b3o$7bo2bo613bo540b5o
9304b5o$10bo1154b3ob2o9302b2ob3o$6bo3bo1157b2o9304b2o$6bo3bo$10bo$7bob
o17$10973b3o$10975bo$10974bo3$683b3o$683bo$684bo$1286b3o9066b3o$1285b
5o9064b5o$1285b3ob2o9062b2ob3o$1288b2o9064b2o18$10913b3o$10915bo$
10914bo3$743b3o$743bo$744bo3$1406b3o8826b3o$1405b5o8824b5o$1405b3ob2o
8822b2ob3o$1408b2o8824b2o3$11651bo$11650b3o$11650bob2o$11651b3o$11651b
3o$11651b3o$11651b2o4$2bo$b3o11639b3o$2obo11639bo2bo$3o10850b3o787bo$
3o10852bo787bo3bo$3o10851bo788bo3bo$b2o11640bo$11644bobo$803b3o$803bo$
804bo$8b3o$7bo2bo$10bo$6bo3bo$6bo3bo1515b3o8586b3o$10bo1514b5o8584b5o$
7bobo1515b3ob2o8582b2ob3o$1528b2o8584b2o14$10793b3o$10795bo$10794bo3$
863b3o$863bo$864bo7$1646b3o8346b3o$1645b5o8344b5o$1645b3ob2o8342b2ob3o
$1648b2o8344b2o12$10733b3o$10735bo$10734bo3$923b3o$923bo$924bo9$1766b
3o8106b3o$1765b5o8104b5o$1765b3ob2o8102b2ob3o1772bo$1768b2o8104b2o
1774b3o$11650bob2o$11651b3o$11651b3o$11651b3o$11651b2o4$2bo$b3o10669b
3o967b3o$2obo10671bo967bo2bo$3o10671bo968bo$3o11640bo3bo$3o11640bo3bo$
b2o980b3o10657bo$983bo10660bobo$984bo3$8b3o$7bo2bo$10bo$6bo3bo$6bo3bo$
10bo$7bobo2$1886b3o7866b3o$1885b5o7864b5o$1885b3ob2o7862b2ob3o$1888b2o
7864b2o8$10613b3o$10615bo$10614bo3$1043b3o$1043bo$1044bo13$2006b3o
7626b3o$2005b5o7624b5o$2005b3ob2o7622b2ob3o$2008b2o7624b2o6$10553b3o$
10555bo$10554bo3$1103b3o$1103bo$1104bo13$11651bo$11650b3o$2126b3o7386b
3o2132bob2o$2125b5o7384b5o2132b3o$2125b3ob2o7382b2ob3o2132b3o$2128b2o
7384b2o2135b3o$11651b2o3$10493b3o$2bo10492bo$b3o10490bo1148b3o$2obo
11639bo2bo$3o11640bo$3o1160b3o10477bo3bo$3o1160bo10479bo3bo$b2o1161bo
10478bo$11644bobo4$8b3o$7bo2bo$10bo$6bo3bo$6bo3bo$10bo$7bobo6$2246b3o
7146b3o$2245b5o7144b5o$2245b3ob2o7142b2ob3o$2248b2o7144b2o2$10433b3o$
10435bo$10434bo3$1223b3o$1223bo$1224bo19$2366b3o6906b3o$2365b5o6904b5o
$2365b3ob2o6902b2ob3o$2368b2o6904b2o1097b3o$10375bo$10374bo3$1283b3o$
1283bo$1284bo15$11651bo$11650b3o$11650bob2o$11651b3o$11651b3o$11651b3o
$2486b3o6666b3o2493b2o$2485b5o6664b5o1154b3o$2485b3ob2o6662b2ob3o1156b
o$2488b2o6664b2o1158bo$2bo$b3o11639b3o$2obo1339b3o10297bo2bo$3o1340bo
10299bo$3o1341bo10298bo3bo$3o11640bo3bo$b2o11640bo$11644bobo4$8b3o$7bo
2bo$10bo$6bo3bo$6bo3bo$10bo$7bobo9$10253b3o$2606b3o6426b3o1217bo$2605b
5o6424b5o1215bo$2605b3ob2o6422b2ob3o$2608b2o6424b2o$1403b3o$1403bo$
1404bo22$10193b3o$10195bo$10194bo$2726b3o6186b3o$2725b5o6184b5o$1463b
3o1259b3ob2o6182b2ob3o$1463bo1264b2o6184b2o$1464bo17$11651bo$11650b3o$
11650bob2o$11651b3o$11651b3o$10133b3o1515b3o$10135bo1515b2o$10134bo3$
2bo1520b3o1320b3o5946b3o$b3o1519bo1321b5o5944b5o2844b3o$2obo1520bo
1320b3ob2o5942b2ob3o2844bo2bo$3o2845b2o5944b2o2847bo$3o11640bo3bo$3o
11640bo3bo$b2o11640bo$11644bobo4$8b3o$7bo2bo$10bo$6bo3bo$6bo3bo$10bo$
7bobo7$10073b3o$10075bo$10074bo3$1583b3o$1583bo$1584bo1381b3o5706b3o$
2965b5o5704b5o$2965b3ob2o5702b2ob3o$2968b2o5704b2o19$10013b3o$10015bo$
10014bo3$1643b3o$1643bo$1644bo2$3086b3o5466b3o$3085b5o5464b5o$3085b3ob
2o5462b2ob3o$3088b2o5464b2o14$11651bo$11650b3o$11650bob2o$9953b3o1695b
3o$9955bo1695b3o$9185b3o766bo1696b3o$9187bo2463b2o$9186bo$1703b3o7492b
o$1703bo7493b3o$2bo1701bo766b3o6723bob2o$b3o2467bo6726b3o2442b3o$2obo
2468bo6725b3o2442bo2bo$3o9195b3o2442bo$3o3203b3o5226b3o760b2o2443bo3bo
$3o3202b5o5224b5o3204bo3bo$b2o3202b3ob2o5222b2ob3o3204bo$3208b2o5224b
2o3208bobo$2455bo$2454b3o6733b3o$2453b2obo6733bo2bo$8b3o2442b3o6734bo$
7bo2bo2442b3o6734bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo
9180bobo$10bo$7bobo2539b3o6540b3o$2548b5o6538b5o$2461b3o84b3ob2o6536b
2ob3o$2460bo2bo87b2o6538b2o$2463bo$2459bo3bo7429b3o$2459bo3bo7431bo$
2463bo6661b3o766bo$2460bobo6664bo$9126bo$1763b3o$1763bo$1764bo766b3o$
2531bo$2532bo4$3326b3o4986b3o$3325b5o4984b5o$3325b3ob2o4982b2ob3o$
3328b2o4984b2o10$2669b3o6300b3o$2668b5o6298b5o$2668b3ob2o6296b2ob3o$
2671b2o6298b2o860b3o$9835bo$9065b3o766bo$9067bo$9066bo$1823b3o$1823bo$
1824bo766b3o$2591bo$2592bo6$3446b3o4746b3o$3445b5o4744b5o$3445b3ob2o
4742b2ob3o$3448b2o4744b2o10$2789b3o6060b3o2796bo$2788b5o6058b5o917b3o
1874b3o$2788b3ob2o6056b2ob3o919bo1874bob2o$2791b2o6058b2o152b3o766bo
1876b3o$9007bo2643b3o$9006bo2644b3o$1883b3o9765b2o$1883bo$1884bo766b3o
6544bo$2651bo6545b3o$2bo2649bo6544bob2o$b3o9194b3o2442b3o$2obo9194b3o
2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o11640bo$
11644bobo$2455bo1110b3o4506b3o$2454b3o1108b5o4504b5o1111b3o$2453b2obo
1108b3ob2o4502b2ob3o1111bo2bo$8b3o2442b3o1112b2o4504b2o1114bo$7bo2bo
2442b3o6734bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bo
bo$10bo$7bobo2$2461b3o$2460bo2bo7249b3o$2463bo445b3o5820b3o980bo$2459b
o3bo444b5o5818b5o209b3o766bo$2459bo3bo444b3ob2o5816b2ob3o211bo$2463bo
447b2o5818b2o213bo$1943b3o514bobo$1943bo$1944bo766b3o$2711bo$2712bo10$
3686b3o4266b3o$3685b5o4264b5o$3685b3ob2o4262b2ob3o$3688b2o4264b2o7$
9653b3o$9655bo$8885b3o766bo$3029b3o5580b3o272bo$3028b5o5578b5o270bo$
2003b3o1022b3ob2o5576b2ob3o$2003bo1027b2o5578b2o$2004bo766b3o$2771bo$
2772bo12$3806b3o4026b3o$3805b5o4024b5o$3805b3ob2o4022b2ob3o$3808b2o
4024b2o5$9593b3o$9595bo2055bo$8825b3o766bo2055b3o$8827bo2822bob2o$
8826bo2824b3o$2063b3o1083b3o5340b3o3156b3o$2063bo1084b5o5338b5o3155b3o
$2064bo766b3o314b3ob2o5336b2ob3o3155b2o$2831bo319b2o5338b2o$2832bo
6365bo$9197b3o$2bo9194bob2o$b3o9194b3o2442b3o$2obo9194b3o2442bo2bo$3o
9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o11640bo$11644bobo$
2455bo$2454b3o6733b3o$2453b2obo6733bo2bo$8b3o2442b3o6734bo$7bo2bo2442b
3o1470b3o3786b3o1472bo3bo$10bo2442b3o1469b5o3784b5o1471bo3bo$6bo3bo
2443b2o1469b3ob2o3782b2ob3o1471bo$6bo3bo3917b2o3784b2o1475bobo$10bo$7b
obo$9533b3o$2461b3o7071bo$2460bo2bo6301b3o766bo$2463bo6303bo$2459bo3bo
6302bo$2123b3o333bo3bo$2123bo339bo$2124bo335bobo428b3o375b3o5100b3o$
2891bo376b5o5098b5o$2892bo375b3ob2o5096b2ob3o$3271b2o5098b2o15$4046b3o
3546b3o$4045b5o3544b5o$4045b3ob2o3542b2ob3o$4048b2o3544b2o$9473b3o$
9475bo$8705b3o766bo$8707bo$8706bo$2183b3o$2183bo$2184bo766b3o$2951bo$
2952bo436b3o4860b3o$3388b5o4858b5o$3388b3ob2o4856b2ob3o$3391b2o4858b2o
15$4166b3o3306b3o$4165b5o3304b5o$4165b3ob2o3302b2ob3o1934b3o$4168b2o
3304b2o1939bo$8645b3o766bo$8647bo3003bo$8646bo3003b3o$2243b3o9404bob2o
$2243bo9407b3o$2244bo766b3o8637b3o$3011bo8639b3o$3012bo8638b2o2$3509b
3o4620b3o1063bo$3508b5o4618b5o1061b3o$2bo3505b3ob2o4616b2ob3o1061bob2o
$b3o3507b2o4618b2o1065b3o2442b3o$2obo9194b3o2442bo2bo$3o9195b3o2442bo$
3o9195b2o2443bo3bo$3o11640bo3bo$b2o11640bo$11644bobo$2455bo$2454b3o
6733b3o$2453b2obo6733bo2bo$8b3o2442b3o6734bo$7bo2bo2442b3o6734bo3bo$
10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo4275b3o
3066b3o1995b3o$7bobo4275b5o3064b5o1996bo$4285b3ob2o3062b2ob3o1226b3o
766bo$2461b3o1824b2o3064b2o1231bo$2460bo2bo6122bo$2303b3o157bo$2303bo
155bo3bo$2304bo154bo3bo607b3o$2463bo607bo$2460bobo609bo4$3629b3o4380b
3o$3628b5o4378b5o$3628b3ob2o4376b2ob3o$3631b2o4378b2o13$9293b3o$9295bo
$4406b3o2826b3o1287b3o766bo$4405b5o2824b5o1288bo$4405b3ob2o2822b2ob3o
1287bo$2363b3o2042b2o2824b2o$2363bo$2364bo766b3o$3131bo$3132bo6$3749b
3o4140b3o$3748b5o4138b5o$3748b3ob2o4136b2ob3o$3751b2o4138b2o11$9233b3o
$9235bo$8465b3o766bo$8467bo$4526b3o2586b3o1348bo$2423b3o2099b5o2584b5o
4532bo$2423bo2101b3ob2o2582b2ob3o4531b3o$2424bo766b3o1334b2o2584b2o
4534bob2o$3191bo8459b3o$3192bo8458b3o$11651b3o$11651b2o2$9198bo$9197b
3o$2bo9194bob2o$b3o9194b3o2442b3o$2obo3865b3o3900b3o1423b3o2442bo2bo$
3o3865b5o3898b5o1422b3o2442bo$3o3865b3ob2o3896b2ob3o1422b2o2443bo3bo$
3o3868b2o3898b2o3870bo3bo$b2o11640bo$11644bobo$2455bo$2454b3o6733b3o$
2453b2obo6733bo2bo$8b3o2442b3o6734bo$7bo2bo2442b3o6734bo3bo$10bo2442b
3o6734bo3bo$6bo3bo2443b2o6717b3o14bo$6bo3bo9164bo15bobo$10bo8394b3o
766bo$7bobo8397bo$8406bo$2461b3o19b3o$2460bo2bo19bo2162b3o2346b3o$
2463bo20bo766b3o1391b5o2344b5o$2459bo3bo787bo1393b3ob2o2342b2ob3o$
2459bo3bo788bo1395b2o2344b2o$2463bo$2460bobo8$3989b3o3660b3o$3988b5o
3658b5o$3988b3ob2o3656b2ob3o$3991b2o3658b2o7$9113b3o$9115bo$8345b3o
766bo$8347bo$8346bo$2543b3o$2543bo$2544bo766b3o$3311bo1454b3o2106b3o$
3312bo1452b5o2104b5o$4765b3ob2o2102b2ob3o$4768b2o2104b2o10$4109b3o
3420b3o$4108b5o3418b5o$4108b3ob2o3416b2ob3o$4111b2o3418b2o5$9053b3o$
9055bo$8285b3o766bo$8287bo$8286bo$2603b3o$2603bo$2604bo766b3o8277bo$
3371bo8278b3o$3372bo8277bob2o$4886b3o1866b3o4893b3o$4885b5o1864b5o
4892b3o$4885b3ob2o1862b2ob3o4892b3o$4888b2o1864b2o4895b2o2$9198bo$
9197b3o$2bo9194bob2o$b3o9194b3o2442b3o$2obo9194b3o2442bo2bo$3o9195b3o
2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4226b3o3180b3o4228bo$4228b5o
3178b5o4228bobo$2455bo1772b3ob2o3176b2ob3o$2454b3o1774b2o3178b2o1777b
3o$2453b2obo6733bo2bo$8b3o2442b3o6734bo$7bo2bo2442b3o6537b3o194bo3bo$
10bo2442b3o6539bo194bo3bo$6bo3bo2443b2o5769b3o766bo195bo$6bo3bo8216bo
963bobo$10bo8215bo$7bobo2653b3o$2663bo$2461b3o200bo766b3o$2460bo2bo
967bo$2463bo968bo$2459bo3bo$2459bo3bo$2463bo2542b3o1626b3o$2460bobo
2542b5o1624b5o$5005b3ob2o1622b2ob3o$5008b2o1624b2o10$4349b3o2940b3o$
4348b5o2938b5o$4348b3ob2o2936b2ob3o$4351b2o2938b2o$8933b3o$8935bo$
8165b3o766bo$8167bo$8166bo$2723b3o$2723bo$2724bo766b3o$3491bo$3492bo5$
5126b3o1386b3o$5125b5o1384b5o$5125b3ob2o1382b2ob3o$5128b2o1384b2o10$
4469b3o2700b3o$4468b5o2698b5o$4468b3ob2o2696b2ob3o1697b3o$4471b2o2698b
2o1702bo$8105b3o766bo$8107bo$8106bo$2783b3o$2783bo$2784bo766b3o$3551bo
$3552bo8098bo$11650b3o$11650bob2o$11651b3o$11651b3o$11651b3o$11651b2o$
5246b3o1146b3o$5245b5o1144b5o2799bo$5245b3ob2o1142b2ob3o2798b3o$2bo
5245b2o1144b2o2801bob2o$b3o9194b3o2442b3o$2obo9194b3o2442bo2bo$3o9195b
3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o11640bo$11644bobo$2455bo$
2454b3o6733b3o$2453b2obo2132b3o2460b3o1758b3o374bo2bo$8b3o2442b3o2132b
5o2458b5o1759bo374bo$7bo2bo2442b3o2132b3ob2o2456b2ob3o989b3o766bo375bo
3bo$10bo2442b3o2135b2o2458b2o994bo1142bo3bo$6bo3bo2443b2o5590bo1143bo$
6bo3bo2832b3o6345bobo$10bo2832bo$7bobo2834bo766b3o$3611bo$2461b3o1148b
o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bobo3$5366b3o906b3o$
5365b5o904b5o$5365b3ob2o902b2ob3o$5368b2o904b2o8$8753b3o$8755bo$4709b
3o2220b3o1050b3o766bo$4708b5o2218b5o1051bo$4708b3ob2o2216b2ob3o1050bo$
2903b3o1805b2o2218b2o$2903bo$2904bo766b3o$3671bo$3672bo11$5486b3o666b
3o$5485b5o664b5o$5485b3ob2o662b2ob3o$5488b2o664b2o6$8693b3o$8695bo$
7925b3o766bo$7927bo$4829b3o1980b3o1111bo$2963b3o1862b5o1978b5o$2963bo
1864b3ob2o1976b2ob3o$2964bo766b3o1097b2o1978b2o$3731bo$3732bo2$11651bo
$11650b3o$11650bob2o$11651b3o$11651b3o$11651b3o$11651b2o2$9198bo$9197b
3o$2bo9194bob2o$b3o5602b3o426b3o3160b3o2442b3o$2obo5601b5o424b5o3159b
3o2442bo2bo$3o5602b3ob2o422b2ob3o3159b3o2442bo$3o5605b2o424b2o3162b2o
2443bo3bo$3o11640bo3bo$b2o11640bo$11644bobo$2455bo6177b3o$2454b3o6178b
o554b3o$2453b2obo5408b3o766bo555bo2bo$8b3o2442b3o5411bo1322bo$7bo2bo
2442b3o5410bo1323bo3bo$10bo2442b3o567b3o6164bo3bo$6bo3bo2443b2o567bo
1925b3o1740b3o2495bo$6bo3bo3013bo766b3o1154b5o1738b5o2495bobo$10bo
3780bo1156b3ob2o1736b2ob3o$7bobo3782bo1158b2o1738b2o2$2461b3o$2460bo2b
o$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bobo7$5726b3o186b3o$5725b5o
184b5o$5725b3ob2o182b2ob3o$5728b2o184b2o2$8573b3o$8575bo$7805b3o766bo$
7807bo$7806bo$3083b3o$3083bo$3084bo766b3o$3851bo1217b3o1500b3o$3852bo
1215b5o1498b5o$5068b3ob2o1496b2ob3o$5071b2o1498b2o4$5864bo$5862b6o$
5862b2o2b2o2$5866bo$5862b2o2bo$5862b2o3bo$5788b3o75bo$5787bo2bo73bobo$
5787b2o76bo2$5789bo2bo$5790b2o$5787b2o$5787b3o2723b3o$5779b2o7bo84b2o
2640bo$5779b2o7bo2bo71b2o10bo1869b3o766bo$5789b2o72b2o8b3o1871bo$5875b
o1870bo$3143b3o2727bo2bo$3143bo$3144bo766b3o1959bobo$3911bo1866bo$
3912bo1864bobo$5189b3o585b2o673b3o$5188b5o585bo672b5o$5188b3ob2o584bo
671b2ob3o$5191b2o585bo672b2o5198bo$11650b3o$11650bob2o$11651b3o$11651b
3o$11651b3o$11651b2o$5781b2o88b2o$5781b2o88b2o3325bo$9197b3o$2bo9194bo
b2o$b3o9194b3o2442b3o$2obo9194b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o
2443bo3bo$3o11640bo3bo$b2o8450b3o3187bo$8455bo3188bobo$2455bo5229b3o
766bo$2454b3o5230bo1502b3o$2453b2obo3332b2o72b2o1821bo1503bo2bo$8b3o
2442b3o747b3o2583b2o72b2o3325bo$7bo2bo2442b3o747bo5986bo3bo$10bo2442b
3o748bo766b3o5216bo3bo$6bo3bo2443b2o1515bo5218bo$6bo3bo3961bo5218bobo$
10bo$7bobo4749bo2124bo$4757bo3bo547b3o1020b3o547bo3bo$2461b3o2298bo
545b5o1018b5o545bo$2460bo2bo2293bo4bo545b3ob2o1016b2ob3o545bo4bo$2463b
o2294b5o548b2o1018b2o548b5o$2459bo3bo$2459bo3bo$2463bo$2460bobo$5729bo
bo$5729b2o$5730bo50b2o88b2o$5781b2o88b2o2$5927bobo$5928b2o$5928bo934bo
$6863b2o$6862bobo1528b3o$8395bo$7625b3o766bo$4795bo2831bo$4794b2o2830b
o$3263b3o1528bobo$3263bo2525b2o72b2o$3264bo766b3o1755b2o72b2o$4031bo$
4032bo4$4879bo1884bo$4877bo3bo547b3o780b3o547bo3bo$4882bo545b5o407bo
370b5o545bo$4877bo4bo545b3ob2o407bo368b2ob3o545bo4bo$4878b5o548b2o406b
3o369b2o548b5o3$5808bo$5807bo$5807b3o2$5781b2o88b2o$5781b2o88b2o2$
6803bo$6803b2o$6802bobo1528b3o$8335bo$7565b3o766bo$4855bo2711bo$4854b
2o2710bo$3323b3o1528bobo$3323bo$3324bo766b3o$4091bo1697b2o72b2o$4092bo
1696b2o72b2o2$6912b3o$6912bo2bo$6912bo$6912bo3bo$4999bo1644bo267bo3bo
4734bo$4997bo3bo547b3o540b3o547bo3bo265bo4737b3o$5002bo545b5o538b5o
545bo271bobo4734bob2o$4997bo4bo545b3ob2o536b2ob3o545bo4bo5004b3o$4998b
5o548b2o538b2o548b5o5005b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo
2163b3o$4741bo2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo
2162b3o2290bob2o$b3o4737bo1039b2o88b2o1031b3o2291b3o2442b3o$2obo4734bo
bo1040b2o88b2o870bo161b2o2291b3o2442bo2bo$3o6740b2o2453b3o2442bo$3o
6739bobo1528b3o922b2o2443bo3bo$3o8272bo3367bo3bo$b2o4744bo2757b3o766bo
3368bo$4746b3o166bo2591bo4136bobo$2455bo2290bob2o164b2o2590bo$2454b3o
926b3o1361b3o164bobo4273b3o$2453b2obo926bo1363b3o4440bo2bo$8b3o2442b3o
928bo766b3o593b3o4440bo$7bo2bo2442b3o1695bo595b2o4441bo3bo$10bo2442b3o
1696bo5037bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o
$2460bo2bo3400bo$2463bo2655bo742b6o115bo540bo$2459bo3bo2653bo3bo547b2o
191b2o2b2o114bobo537bo3bo$2459bo3bo2658bo547b2o310bobo536bo$2463bo
2653bo4bo743bo116bo537bo4bo$2460bobo2655b5o544b2o193b2o2bo654b5o$5862b
2o3bo$5788b3o75bo$5787bo2bo73bobo$5787b2o76bo2$5789bo2bo890bo$5790b2o
891b2o$5787b2o893bobo1528b3o$5787b3o2425bo$5779b2o7bo84b2o1570b3o766bo
$4975bo803b2o7bo2bo71b2o10bo1571bo$4974b2o813b2o72b2o8b3o1570bo$3443b
3o1528bobo898bo$3443bo2429bo2bo$3444bo766b3o$4211bo1661bobo$4212bo
1565bo$5777bobo$5777b2o$5778bo$5778bo$5778bo5$5239bo430bo312bo420bo$
5237bo3bo427bobo310bobo417bo3bo$5242bo426bobo109b2o88b2o109bobo416bo$
5237bo4bo427bo110b2o88b2o110bo417bo4bo$5238b5o1158b5o4$6623bo$6623b2o$
6622bobo1528b3o$8155bo$7385b3o766bo$5035bo2351bo$5034b2o2350bo$3503b3o
1528bobo752b2o72b2o$3503bo2285b2o72b2o$3504bo766b3o$4271bo$4272bo4$
6912b3o$6912bo2bo$6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913b
obo4734bob2o$11651b3o$5359bo310bo58bobo251bo300bo5366b3o$5357bo3bo307b
obo57b2o251bobo297bo3bo5364b3o$4739b3o620bo306bobo58bo50b2o88b2o109bob
o296bo624bo4744b2o$4738bo2bo615bo4bo307bo110b2o88b2o110bo297bo4bo618b
3o$4741bo616b5o918b5o618b2obo2290bo$4737bo3bo1185bobo974b3o2290b3o$2bo
4734bo3bo1186b2o633bo340b3o2290bob2o$b3o4737bo1186bo634b2o339b3o2291b
3o2442b3o$2obo4734bobo1821bobo340b2o1186b3o1102b3o2442bo2bo$3o8092bo
1102b3o2442bo$3o7322b3o766bo1103b2o2443bo3bo$3o5092bo2231bo4315bo3bo$b
2o4744bo346b2o2230bo4316bo$3563b3o1180b3o345bobo6547bobo$2455bo1107bo
1182bob2o$2454b3o1107bo766b3o413b3o1039b2o72b2o3325b3o$2453b2obo1874bo
415b3o1039b2o72b2o3325bo2bo$8b3o2442b3o1876bo414b3o4440bo$7bo2bo2442b
3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo
9180bobo$10bo$7bobo$5840bo$2461b3o3377bo$2460bo2bo3375b3o$2463bo$2459b
o3bo$2459bo3bo3344bo$2463bo3343bo$2460bobo3016bo190bo136b3o173bo180bo$
5477bo3bo187bobo310bobo177bo3bo$5482bo186bobo109b2o88b2o109bobo176bo$
5477bo4bo187bo110b2o88b2o110bo177bo4bo$5478b5o678b5o337bo$6503b2o$
6502bobo1528b3o$8035bo$7265b3o766bo$5155bo2111bo$5154b2o2110bo$3623b3o
1528bobo$3623bo$3624bo766b3o$4391bo$4392bo1396b2o72b2o$5789b2o72b2o15$
5670bo312bo$5669bobo310bobo107bo$5669bobo109b2o88b2o109bobo107bo350bo$
5670bo110b2o88b2o110bo108bo350b2o$5560b3o879bobo1528b3o$5553b2o4bo529b
3o7b2o1874bo$5553b2o4bo4bo524bobo7b2o1104b3o766bo$5215bo344bo4bo523b3o
2bobo1110bo$5214b2o348bo530b2o1109bo$3683b3o1528bobo343bob4o529bo$
3683bo1875b2o4bo$3684bo766b3o1106bo3bo$4451bo1109b2ob2o$4452bo1109bobo
$5563bo2$5551b2o548b2o$5551b2o548b2o2$6912b3o$6912bo2bo$6912bo$6912bo
3bo$6912bo3bo4734bo$5555b2o540b2o813bo4737b3o$5555b2o540b2o814bobo
4734bob2o$11651b3o$11651b3o$5670bo5980b3o$4739b3o927bobo1234bo4744b2o$
4738bo2bo926bo2bo1233b3o$4741bo926bo3bo710bo520b2obo2290bo$4737bo3bo
925b2obob2o709b2o519b3o2290b3o$2bo4734bo3bo926bo4bo107b2o88b2o108b2o
399bobo519b3o1006b3o1281bob2o$b3o4737bo927b4o108b2o88b2o108b2o921b3o
1008bo1282b3o2442b3o$2obo4734bobo929bo1234b2o238b3o766bo1283b3o2442bo
2bo$3o5272bo1871bo2050b3o2442bo$3o5271b2o287b2o524b2o1055bo2051b2o
2443bo3bo$3o3740b3o1528bobo286b2o524b2o5552bo3bo$b2o3740bo1003bo6895bo
$3744bo766b3o232b3o6895bobo$2455bo2055bo234bob2o$2454b3o2055bo234b3o
4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b
3o2291b2o1235b3o3203bo3bo$10bo2442b3o3528bo2bo3202bo3bo$6bo3bo2443b2o
3527bo4bo3201bo$6bo3bo5975bo3204bobo$10bo$7bobo5974b2o$5984bobo$2461b
3o3203bo316bobo99bo$2460bo2bo3203b2o417b2o$2463bo3205bo310bo104bobo$
2459bo3bo3091b2o110b2o313bo114b2o$2459bo3bo3091b2o109bobo312b2o114b2o$
2463bo3108bo94bo$2460bobo3108b2o92bobo$5571bobo89bo327bo$5663bobo326bo
330bo$5990b3o330b2o$6322bobo1528b3o$7855bo$5781b2o88b2o1212b3o766bo$
5335bo445b2o88b2o1214bo$5334b2o1750bo$3803b3o1528bobo265bobo$3803bo
1759b2o38b2o58b2o324b2o98b2o$3804bo766b3o989b2o38bo59b2o10bo313b2o98b
2o$4571bo$4572bo$6044bobo$6044b2o$6045bo7$6026bo$6026b2o$6025bobo3$
5555b2o75bo38b2o308b2o114b2o$5555b2o74b2o38b2o308b2o114b2o$5631bobo$
6263bo$6263b2o$6262bobo1528b3o$7795bo$5778b3obo1242b3o766bo$5395bo381b
o3b3o1243bo$5394b2o384bob3o1241bo$3863b3o1528bobo380b2ob2o2b2o$3863bo
1913b5o3bo$3864bo766b3o1149bobo$4631bo931b2o98b2o113b2ob4o204b2o98b2o$
4632bo930b2o98b2o113b2ob2o85b3o118b2o98b2o$5779bobo8bo77bobo$5780bo9bo
77bobo2b3o$5790bo74b2ob2o$5866bobo$5867bo3$6912b3o$5777b2o96b2o1035bo
2bo$5777b2o96b2o89bo945bo$5966b2o944bo3bo$5965bobo944bo3bo4734bo$6912b
o4737b3o$6913bobo4734bob2o$5692bo5958b3o$5691b2o5958b3o$5555b2o114b2o
18bobo87b2o88b2o108b2o114b2o5552b3o$4739b3o813b2o114b2o108b2o88b2o108b
2o114b2o104bo702bo4744b2o$4738bo2bo1461b2o700b3o$4741bo1460bobo699b2ob
o825b3o1462bo$4737bo3bo986bobo1173b3o828bo1461b3o$2bo4734bo3bo987b2o
1173b3o58b3o766bo1462bob2o$b3o4737bo713bo273bo1174b3o60bo2230b3o2442b
3o$2obo4734bobo713b2o1449b2o59bo2231b3o2442bo2bo$3o3920b3o1528bobo293b
o3447b3o2442bo$3o3920bo1826bobo165bobo3277b2o2443bo3bo$3o3921bo766b3o
1056b2o166b2o5723bo3bo$b2o4688bo55bo1171bo5723bo$4692bo53b3o6895bobo$
2455bo2290bob2o813b2o98b2o124b2o72b2o43bo80b2o98b2o$2454b3o2290b3o813b
2o98b2o124b2o72b2o41bobo80b2o98b2o3099b3o$2453b2obo2290b3o1157b2o3281b
o2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b
3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$
2460bo2bo$2463bo$2459bo3bo$2459bo3bo3143bo$2463bo3142bo$2460bobo3143b
3o534bo$5555b2o114b2o108b2o88b2o108b2o114b2o44b2o$5555b2o114b2o108b2o
88b2o108b2o114b2o43bobo1528b3o$5818bobo230bo1623bo$5819b2o231bo852b3o
766bo$5515bo303bo230b3o854bo$5514b2o474b2o914bo$3983b3o1528bobo473b2o$
3983bo1844bobo160bo$3984bo766b3o1074b2o$4751bo911bo165bo$4752bo909bobo
$5662bobo$5662b2o$5563b2o97b3o124b2o72b2o224b2o$5563b2o224b2o72b2o224b
2o14$6083bo$6083b2o$6082bobo1528b3o$5555b2o114b2o108b2o88b2o108b2o114b
2o1516bo$5555b2o114b2o108b2o88b2o108b2o114b2o746b3o766bo$5575bo1271bo$
5574b2o1270bo$4043b3o1528bobo$4043bo$4044bo766b3o$4811bo$4812bo5$5563b
2o224b2o72b2o224b2o$5563b2o224b2o72b2o224b2o4$6912b3o$6912bo2bo$6912bo
$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$11651b3o$
6023bo5627b3o$6023b2o5626b3o$4739b3o1280bobo881bo646b3o4095b2o$4738bo
2bo2163b3o647bo$4741bo2043b3o116b2obo646bo1643bo$4737bo3bo813b2o78bo
35b2o108b2o88b2o108b2o114b2o688bo116b3o2290b3o$2bo4734bo3bo813b2o77b2o
35b2o108b2o88b2o108b2o114b2o687bo117b3o2290bob2o$b3o4099b3o635bo892bob
o1267b3o2291b3o2442b3o$2obo4099bo634bobo2164b2o2291b3o2442bo2bo$3o
4101bo766b3o4324b3o2442bo$3o4868bo4326b2o2443bo3bo$3o4869bo6770bo3bo$b
2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$
2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b
2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$
10bo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo3499bo$2463bo
3499b2o$2460bobo3499bobo1528b3o$7495bo$6725b3o766bo$5695bo1031bo$5694b
2o1030bo$4163b3o1389b2o114b2o21bobo84b2o88b2o108b2o114b2o$4163bo1391b
2o114b2o108b2o88b2o108b2o114b2o$4164bo766b3o$4931bo$4932bo18$5903bo$
5903b2o$5902bobo1528b3o$7435bo$6665b3o766bo$5755bo911bo$5754b2o910bo$
4223b3o1528bobo$4223bo$4224bo766b3o561b2o114b2o108b2o88b2o108b2o114b2o
$4991bo563b2o114b2o108b2o88b2o108b2o114b2o$4992bo12$6912b3o$6912bo2bo$
6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$5843bo1069bobo4734bob2o
$5843b2o5806b3o$5842bobo1528b3o4275b3o$7375bo4275b3o$4739b3o1863b3o
298bo467bo4276b2o$4738bo2bo1073bo791bo297b3o$4741bo1072b2o790bo297b2ob
o2290bo$4283b3o451bo3bo1072bobo1087b3o2290b3o$2bo4280bo453bo3bo2162b3o
2290bob2o$b3o4280bo456bo309b3o1850b3o2291b3o2442b3o$2obo4734bobo310bo
1853b2o2291b3o2442bo2bo$3o5049bo502b2o114b2o108b2o88b2o108b2o114b2o
3099b3o2442bo$3o5552b2o114b2o108b2o88b2o108b2o114b2o3099b2o2443bo3bo$
3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o
2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo
2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6b
o3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo3319bo$2459bo3bo3319b
2o$2459bo3bo3318bobo1528b3o$2463bo4851bo$2460bobo4082b3o766bo$5875bo
671bo$5874b2o670bo$4343b3o1528bobo$4343bo$4344bo766b3o$5111bo$5112bo2$
5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o
114b2o15$5723bo$5723b2o$5722bobo1528b3o$7255bo$6485b3o766bo$5935bo551b
o$5934b2o550bo$4403b3o1528bobo$4403bo$4404bo766b3o$5171bo$5172bo4$
5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o
114b2o9$6912b3o$6912bo2bo$6912bo$6912bo3bo$5663bo1248bo3bo4734bo$5663b
2o1247bo4737b3o$5662bobo1248bobo277b3o4454bob2o$7195bo4455b3o$6425b3o
766bo4456b3o$5995bo431bo5223b3o$4739b3o1252b2o430bo479bo4744b2o$4463b
3o272bo2bo1252bobo908b3o$4463bo277bo2162b2obo2290bo$4464bo272bo3bo489b
3o1670b3o2290b3o$2bo4734bo3bo489bo1672b3o2290bob2o$b3o4737bo490bo1671b
3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$
3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo1347bo5547bo$4746b3o922b2o
108b2o88b2o108b2o113bo5547bobo$2455bo2290bob2o803b5o113b2o108b2o88b2o
108b2o109bo6bo$2454b3o2290b3o802b2obobo533bo3b3o2bo3089b3o$2453b2obo
2290b3o801bo3bo534bo9bo3089bo2bo$8b3o2442b3o2291b3o800b3ob2o534bo4b4ob
2o3088bo$7bo2bo2442b3o2291b2o802b2ob2o5b2o526bo5b4obo3089bo3bo$10bo
2442b3o3097bo2bo3b3o527bo5bo2bo3090bo3bo$6bo3bo2443b2o3097b4o3bo2bo
527b4o3095bo$6bo3bo5541bob2obo2b3o529b2o3097bobo$10bo5541b3o2bo3b2o
518b2o$7bobo5542b3obo526bo$6080b3o22b4o$2461b3o3139bo477bo21b8o$2460bo
2bo3139b2o498b5ob4o$2463bo3087b2o49bobo497b2o2b2obo2bo1020b3o$2459bo3b
o3087b2o556b3o1023bo$2459bo3bo3637b2o6bo255b3o766bo$2463bo3591bo46bo3b
3o258bo$2460bobo3591b2o47b2o261bo$4523b3o1528bobo46bo$4523bo1578bo$
4524bo766b3o$5291bo263b2o540b2o20bobo$5292bo262b2o540b2o21b2o$6120bo3$
5527bobo$5527b2o$5528bo2$5671b2o108b2o88b2o108b2o$5671b2o108b2o88b2o
108b2o3$5563b2o524b2o$5563b2o524b2o5$5543bo$5543b2o$5542bobo1528b3o$
7075bo$6305b3o766bo$6068bo46bo191bo$6067bo46b2o190bo$4583b3o1481b3o44b
obo$4583bo$4584bo766b3o$5351bo238bo$5352bo238bo$5555b2o32b3o505b2o$
5555b2o540b2o8$5671b2o108b2o88b2o108b2o$5671b2o108b2o88b2o108b2o3$
5563b2o524b2o$5563b2o524b2o$6912b3o$5523b2o1387bo2bo$5523bobo1386bo$
5523bo1388bo3bo$6912bo3bo96b3o4635bo$6912bo102bo4634b3o$6124b2o119b3o
665bobo98bo4635bob2o$6123bobo121bo5403b3o$6125bo120bo5404b3o$4643b3o
7005b3o$4643bo95b3o2164bo4744b2o$4644bo93bo2bo669b3o1491b3o$4741bo669b
o1492b2obo2290bo$4737bo3bo670bo1491b3o2290b3o$2bo4734bo3bo2162b3o2290b
ob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo814b2o540b2o806b2o
2291b3o2442bo2bo$3o5552b2o540b2o3099b3o2442bo$3o9195b2o2443bo3bo$3o
11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o
2290b3o4440b3o$2453b2obo2290b3o916bo3523bo2bo$8b3o2442b3o2291b3o916bo
114b2o88b2o3317bo$7bo2bo2442b3o2291b2o917bo114b2o88b2o3317bo3bo$10bo
2442b3o3530b3o3201bo3bo$6bo3bo2443b2o3207b3o7b2o304b2o4bo3204bo$6bo3bo
5552b2o98bobo7b2o304b2o4bo4bo98b2o3100bobo$10bo5552b2o18b2o78b3o2bobo
315bo4bo97b2o$7bobo5573bobo83b2o319bo$5583bo85bo316bob4o$2461b3o3521b
2o4bo961b3o$2460bo2bo3522bo3bo964bo$2463bo3523b2ob2o72b2o119b3o766bo$
2459bo3bo3524bobo72bobo121bo$2459bo3bo3525bo75bo120bo$2463bo2239b3o$
2460bobo2240bo971b2o300b2o$4704bo766b3o201b2o300b2o$5471bo$5472bo5$
5555b2o114b2o308b2o114b2o$5555b2o114b2o308b2o114b2o8$5781b2o88b2o$
5781b2o88b2o2$5643b2o$5563b2o78bobo17b2o112b5o207b2o98b2o$5563b2o78bo
19b2o110b2o3bobob4o201b2o98b2o$5775b2o5bo5bo80bo1023b3o$5777bob4o2b2o
2b2o76b2o2b2o1022bo$5780bo3bo2bob2o3bo77b2o130b2o119b3o766bo$5772bo12b
2o3b2o2bo74bo3bo3b2ob2o58bo62bobo121bo$5772b3o10bob2ob2o2bo3b3o68b4o4b
o2bo59bobo62bo120bo$4763b3o1005bob3o8bo2b7o61b3o4b2o3bo9bob2o59b2o$
4763bo1004b2o5b2o7bob7o68b2ob2obo12bo$4764bo766b3o237bo2b2obo6bo3bo67b
o8bobo2bo7b2o5bo122bo$5531bo186bo52b3o4bo9bo67bobobo4bo4bo7bo7b2o119bo
$5532bo183bobo52b3o4b2o9b2o64bo8bo20b2o120b3o$5717b2o56b4o10bo65bo4b3o
$5775b3o9bobo64bo4bobo$5650bo112bo11b2o11bo65bo3bo$5651bo109b2o91b4o$
5649b3o110b2o2$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b
2o88b2o108b2o114b2o9$5703b2o$5703bobo1206b3o$5703bo324bobo881bo2bo$
5563b2o98b2o124b2o72b2o124b2o38b2o58b2o742b3o76bo$5563b2o98b2o124b2o
72b2o124b2o38bo59b2o744bo76bo3bo$5944b2o119b3o766bo77bo3bo4734bo$5850b
o92bobo121bo844bo4737b3o$5618bobo229bobo92bo120bo846bobo4734bob2o$
4823b3o792b2o230b2o5799b3o$4823bo795bo6031b3o$4824bo766b3o6057b3o$
4739b3o849bo216bo1097bo4744b2o$4738bo2bo850bo213bobo1096b3o$4741bo
1065b2o1095b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o
2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o
2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo
807b2o114b2o108b2o88b2o108b2o114b2o5544bo$4746b3o806b2o114b2o108b2o88b
2o108b2o114b2o5545bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$2453b2obo
2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3b
o$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo
6763b3o$6775bo$2461b3o3099b2o224b2o72b2o140b3o81b2o683bo$2460bo2bo
3099b2o224b2o72b2o142bo81b2o$2463bo3542bo$2459bo3bo2419b3o$2459bo3bo
2419bo$2463bo2420bo766b3o$2460bobo3188bo$5652bo11$5555b2o114b2o108b2o
88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o8$6713b3o$6715bo
$5945b3o766bo$5947bo$5563b2o224b2o72b2o81bo142b2o$4943b3o617b2o224b2o
72b2o224b2o$4943bo$4944bo766b3o$5711bo$5712bo13$5555b2o114b2o108b2o88b
2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o4$5564b2o$5564b2o$
5565bo1087b3o256b3o$6655bo256bo2bo$5885b3o201bo564bo257bo$5887bo200bob
o821bo3bo$5790bo95bo201bobo821bo3bo4734bo$5003b3o783bob3o294b2o822bo
4737b3o$5003bo785b5o294b3o822bobo4734bob2o$5004bo766b3o16bob2o5857b3o$
5771bo19bo5859b3o$5772bo5878b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$
4741bo2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290b
ob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2b
o$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$
4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o
805b2o114b2o108b2o88b2o108b2o114b2o3091bo2bo$8b3o2442b3o2291b3o805b2o
114b2o108b2o88b2o108b2o114b2o3091bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo
2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo6582b3o2595bobo$10bo6584bo$
7bobo5815b3o766bo$5827bo$2461b3o3362bo$2460bo2bo2599b3o$2463bo2599bo$
2459bo3bo2600bo766b3o$2459bo3bo3367bo$2463bo3368bo$2460bobo16$5555b2o
114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o2$
6533b3o$6535bo$5765b3o766bo$5767bo$5766bo$5123b3o$5123bo$5124bo766b3o$
5891bo$5892bo19$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b
2o88b2o108b2o114b2o374b3o$6475bo$5705b3o766bo437b3o$5707bo1204bo2bo$
5706bo1205bo$5183b3o1726bo3bo$5183bo1728bo3bo4734bo$5184bo766b3o958bo
4737b3o$5951bo961bobo4734bob2o$5952bo5698b3o$11651b3o$11651b3o$4739b3o
2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$4737bo3bo2162b3o
2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2o
bo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$
3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o
2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo
2bo2442b3o2291b2o4441bo3bo$10bo2442b3o3957b3o2774bo3bo$6bo3bo2443b2o
3099b2o114b2o108b2o88b2o108b2o114b2o316bo2774bo$6bo3bo5544b2o88b3o23b
2o108b2o88b2o108b2o114b2o315bo2776bobo$10bo5636bo$7bobo5636bo$5243b3o$
2461b3o2779bo$2460bo2bo2780bo766b3o$2463bo3091b2o454bo$2459bo3bo3091b
2o455bo$2459bo3bo3092bo539b2o$2463bo3083bo9bo536bobobo$2460bobo3083b3o
8b2o12b3o515bo3b4o2bo$5545bo3bo5b5o10b4o514b2o9bo$5545b2ob3o4bobobob3o
5b2o2b2o512b2obo6bobo$5547b3o7bob5o6bob2o514bobo6b2o$5548bobo3bo4b2o
10b3o515b2o$5549bo4bo4bo12bo$5553bo4bo$5554bo541b2o$5555bo3$5555b2o
540b2o$5555b2o540b2o5$6353b3o$6086bo268bo$5585b3o496b2o268bo$5587bo83b
2o108b2o88b2o108b2o102b2o$5586bo84b2o108b2o88b2o108b2o$5303b3o$5303bo
268bo$5304bo258b2o8b2o496b3o15b2o$5563b2o7b2o497bo17b2o$6072bo16$5555b
2o540b2o$5555b2o540b2o3$6293b3o$6295bo$5525b3o766bo$5527bo$5526bo1385b
3o$5363b3o305b2o108b2o88b2o108b2o929bo2bo$5363bo307b2o108b2o88b2o108b
2o929bo$5364bo766b3o778bo3bo$6131bo780bo3bo4734bo$5563b2o524b2o41bo
779bo4737b3o$5563b2o524b2o822bobo4734bob2o$11651b3o$11651b3o$11651b3o$
4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$4737bo3bo
2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o
2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o
2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o
$2454b3o2290b3o805b2o540b2o3091b3o$2453b2obo2290b3o805b2o540b2o3091bo
2bo$8b3o2442b3o2291b3o791bo691b3o2954bo$7bo2bo2442b3o2291b2o791b2o693b
o2954bo3bo$10bo2442b3o3084bobo691bo2955bo3bo$6bo3bo2443b2o6734bo$6bo3b
o9180bobo$10bo5412b3o681bo$7bobo5413bo683b2o$5424bo246b3o107b2o88b2o
233bobo$2461b3o3209bo107b2o88b2o107b3o$2460bo2bo3207bobobo304b2ob2o3b
2o$2463bo3207b2o2b3o304b2o2bob2o$2459bo3bo3099b2o111b2o302bo2bob4o100b
2o$2459bo3bo3099b2o111b2o301bobobobob2o100b2o$2463bo3515bobobob2o$
2460bobo3199b3o8bo306bo3bo2$5675bo$5674bo322b3o$5996bo3bo$5996bo3bo$
5976b2o19b3o$5675b2o292bo5bo2bo$5675b2o291bo3bob3obo$5972b3ob2o$5969bo
$5971b5o$5972b5o3$5555b2o44bo69b2o308b2o114b2o74b3o$5555b2o43b2o69b2o
284bobo21b2o114b2o76bo$5600bobo354b2o215bo$5958bo2$5483b3o540bo20bo$
5483bo215bobo322b2o21b2o$5484bo215b2o323b2o19bobo$5700bo$5781b2o88b2o$
5632bo148b2o88b2o$5633b2o$5632b2o$5563b2o98b2o324b2o98b2o$5563b2o98b2o
324b2o98b2o8$5784b3o$5784bobo$5784bo3bo$5782bo2b2obo223bo$5784bo3bo
224bo$5785b2o224b3o$5780bo83bobo$5661bo118bo5bo75bo4bo245b3o$5636bo23b
2o119bo4bo75bo4bo247bo$5555b2o78bo24bobo8b2o108b3o82b2o113b2o114b2o15b
o$5555b2o78b3o33b2o308b2o114b2o$5862b2o2b2o$5543b3o316b2o2b2o119bo$
5543bo245bobo71bob3o119b2o923b3o$5544bo245b2o74bo119bobo923bo2bo$5790b
o74bo1046bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$
11651b3o$5874bo5776b3o$5563b2o98b2o124b2o72b2o10bo113b2o98b2o5560b3o$
4739b3o821b2o98b2o124b2o72b2o10b2o112b2o98b2o815bo4744b2o$4738bo2bo
1131bob2o1028b3o$4741bo2162b2obo2290bo$4737bo3bo1132bo1029b3o2290b3o$
2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bo
bo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo
3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o971b
o331b3o3134b3o$2453b2obo2290b3o970b2o333bo3134bo2bo$8b3o2442b3o2291b3o
970bobo331bo3135bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o3099b2o
114b2o108b2o88b2o108b2o114b2o3091bo3bo$6bo3bo2443b2o3099b2o46b3o65b2o
108b2o88b2o54bo53b2o114b2o3091bo$6bo3bo5592bo323b2o3262bobo$10bo5593bo
321bobo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$
2460bobo$5563b2o224b2o72b2o224b2o$5563b2o224b2o72b2o224b2o11$5993b3o$
5995bo$5994bo3$5663b3o$5555b2o106bo7b2o108b2o88b2o108b2o114b2o$5555b2o
107bo6b2o108b2o88b2o108b2o114b2o12$5563b2o224b2o72b2o224b2o$5563b2o
224b2o72b2o224b2o9$5933b3o136bo$5935bo137bo$5934bo136b3o3$5576bo146b3o
81bobo$5575bo147bo83b2o$5575b3o146bo83bo$5555b2o114b2o108b2o88b2o108b
2o114b2o813b3o$5555b2o114b2o108b2o88b2o108b2o114b2o813bo2bo$5849bobo
1060bo$5850b2o1060bo3bo$5850bo1061bo3bo4734bo$6912bo4737b3o$6913bobo
4734bob2o$11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo
2163b3o$4741bo2162b2obo2290bo$4737bo3bo821b2o224b2o72b2o224b2o813b3o
2290b3o$2bo4734bo3bo821b2o224b2o72b2o224b2o813b3o2290bob2o$b3o4737bo
2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o
2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o1124b3o
5768bobo$2455bo2290bob2o1125bo$2454b3o2290b3o1124bo3315b3o$2453b2obo
2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o1034b3o
3404bo3bo$10bo2442b3o3327bo3406bo3bo$6bo3bo2443b2o3328bo3405bo$6bo3bo
9180bobo$10bo$7bobo5545b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o
108b2o88b2o108b2o114b2o$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$
2463bo$2460bobo11$5813b3o$5815bo$5814bo3$5843b3o$5843bo$5844bo5$5555b
2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o
16$5753b3o$5755bo$5754bo3$5903b3o$5903bo$5904bo3$6912b3o$6912bo2bo$
6912bo$6912bo3bo$5555b2o114b2o108b2o88b2o108b2o114b2o813bo3bo4734bo$
5555b2o114b2o108b2o88b2o108b2o114b2o813bo4737b3o$6913bobo4734bob2o$
11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741b
o2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$
b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o
9195b3o2442bo$3o9195b2o2443bo3bo$3o5690b3o5947bo3bo$b2o4744bo947bo
5947bo$4746b3o945bo5949bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$
2453b2obo2290b3o1213b3o3224bo2bo$8b3o2442b3o2291b3o1213bo3226bo$7bo2bo
2442b3o2291b2o1215bo3225bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo
$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo3091b2o114b2o108b
2o88b2o108b2o114b2o$2459bo3bo3091b2o114b2o108b2o88b2o108b2o114b2o$
2459bo3bo$2463bo$2460bobo9$5633b3o$5635bo$5634bo3$6023b3o$5559b2o462bo
$5558bobo463bo$5557b2o$5559bo$5559bobo527b3o$5561b2o$5560b3o526bobo$
6092bo$6088bo3bo2$6088bo2b2o2$5671b2o108b2o88b2o108b2o$5671b2o108b2o
88b2o108b2o2$6099b2o$5563b2o524b2o8b2o$5563b2o524b2o5$6099bo$5573b3o
522bo2bo$5575bo525b2o$5574bo524bo3bo$6099bo2bo$6100b2o$6083b3o$6083bo$
6084bo4$5555b2o540b2o$5555b2o540b2o813b3o$6912bo2bo$6912bo$6912bo3bo$
6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$11651b3o$5671b2o108b2o
88b2o108b2o5668b3o$5671b2o108b2o88b2o108b2o5668b3o$4739b3o2164bo4744b
2o$4738bo2bo2163b3o$4741bo821b2o524b2o813b2obo2290bo$4737bo3bo821b2o
524b2o813b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b
3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o5510b3o3682b3o2442bo$
3o5512bo3682b2o2443bo3bo$3o5511bo6128bo3bo$b2o4744bo6895bo$4746b3o
6895bobo$2455bo2290bob2o1393b3o$2454b3o2290b3o1393bo3046b3o$2453b2obo
2290b3o1394bo3045bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o
4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo
5544b2o540b2o$7bobo5545b2o540b2o2$2461b3o$2460bo2bo$2463bo$2459bo3bo$
2459bo3bo$2463bo$2460bobo3208b2o108b2o88b2o108b2o$5671b2o108b2o88b2o
108b2o3$5563b2o524b2o$5553bo9b2o108bo415b2o$5552b2o118b3o$5552bobo121b
3o$5665b2o6bo2bobo$5660bo5b2o306bo6b5o$5654b2o4b2o2bobo12b2o293b2o4b2o
b3o109bo$5654bo4bo2b4obo11b2o289b2o3b2o5b2o2bo7b2o99b2o$5654bo2b3o4b3o
12bobo287b3o11bob2o6bobo98bobo$5654b7o3b2obo11b3o288b3obo8bob2obo4bo$
5659b2o4b2o12b3o289bobo10b3obo4b3o2bo$5659b2o5bo11bo293bo13bo9b2obo38b
o$5677b2o8bobo294b3o9b2obo36b2o$5688b2o308bo38b2o$5688bo2$5620bo$5621b
2o$5555b2o63b2o49b2o308b2o114b2o$5555b2o114b2o308b2o114b2o8$5781b2o88b
2o$5781b2o88b2o2$5613bo$5563b2o47b2o49b2o324b2o9bo88b2o$5563b2o47bobo
48b2o324b2o10bo87b2o$5999b3o2$6035bo$5648bo386b2o$5647bo386bobo$5647b
3o8$6912b3o$6912bo2bo$6912bo$5555b2o114b2o308b2o114b2o813bo3bo$5555b2o
114b2o308b2o114b2o813bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$
11651b3o$11651b3o$11651b3o$4739b3o1047bo1116bo4744b2o$4738bo2bo1046b3o
75bo1038b3o$4741bo1045bo2b2o74bo1037b2obo2290bo$4737bo3bo931bo113bo3bo
74bo1037b3o2290b3o$2bo4734bo3bo930b2o114b2obo1112b3o2290bob2o$b3o4737b
o930bobo104b2o9b2o70bo2bo7b2o1029b3o2291b3o2442b3o$2obo4734bobo822b2o
98b2o114b2o82b2o2bobo3b2o114b2o98b2o814b2o2291b3o2442bo2bo$3o5560b2o
98b2o199bo3b2o119b2o98b2o3107b3o2442bo$3o5865bo106bo3222b2o2443bo3bo$
3o5972b2o5666bo3bo$b2o4744bo1226bobo5666bo$4746b3o1030bobo5862bobo$
2455bo2290bob2o1029b2o$2454b3o2290b3o1030bo3409b3o$2453b2obo2290b3o
4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o1028b2o96b2o
3313bo3bo$10bo2442b3o3321b2o96b2o3313bo3bo$6bo3bo2443b2o6734bo$6bo3bo
9180bobo$10bo$7bobo2$2461b3o$2460bo2bo3091b2o114b2o108b2o88b2o108b2o
114b2o$2463bo3091b2o114b2o108b2o88b2o108b2o114b2o$2459bo3bo$2459bo3bo$
2463bo$2460bobo3$5733bo$5732b2o$5732bobo3$5563b2o224b2o72b2o50bo173b2o
$5563b2o224b2o72b2o50b2o172b2o$5914bobo16$5555b2o114b2o108b2o88b2o108b
2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o10$6060bo$6061bo$5563b2o
224b2o72b2o194b3o27b2o$5563b2o224b2o72b2o224b2o2$5588bo230bobo$5587bo
231b2o$5587b3o230bo3$5837bobo$5838b2o$5838bo$6912b3o$6912bo2bo$6912bo$
6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$5555b2o114b
2o108b2o88b2o108b2o114b2o5552b3o$5555b2o114b2o108b2o88b2o108b2o114b2o
5552b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo
2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo
2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o
2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo815b2o224b2o72b2o224b
2o5552bo$4746b3o814b2o224b2o72b2o224b2o5553bobo$2455bo2290bob2o$2454b
3o2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7b
o2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$
6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3b
o$2463bo3091b2o114b2o108b2o88b2o108b2o114b2o$2460bobo3092b2o114b2o108b
2o88b2o108b2o114b2o30$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b
2o108b2o88b2o108b2o114b2o19$6912b3o$6912bo2bo$6912bo$6912bo3bo$6912bo
3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$11651b3o$11651b3o$11651b3o$
4739b3o2164bo4744b2o$4738bo2bo813b2o114b2o108b2o88b2o108b2o114b2o806b
3o$4741bo813b2o114b2o108b2o88b2o108b2o114b2o805b2obo2290bo$4737bo3bo
2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o
2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o
2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o
$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o
4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b
2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo
$2459bo3bo$2463bo$2460bobo3$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b
2o114b2o108b2o88b2o108b2o114b2o30$5555b2o114b2o108b2o88b2o108b2o114b2o
$5555b2o114b2o108b2o88b2o108b2o114b2o15$6912b3o$6912bo2bo$6912bo$6912b
o3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$11651b3o$11651b3o
$11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$
4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo813b2o
114b2o108b2o88b2o108b2o114b2o805b3o2291b3o2442b3o$2obo4734bobo814b2o
114b2o108b2o88b2o108b2o114b2o806b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o
9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo
2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o
2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3b
o2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$
2459bo3bo$2459bo3bo$2463bo$2460bobo7$5555b2o114b2o108b2o88b2o108b2o
114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$5555b2o114b2o108b2o88b2o
108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o11$6912b3o$6912bo2bo$
6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$
11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741b
o2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$
b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o
9195b3o2442bo$3o9195b2o2443bo3bo$3o5552b2o114b2o108b2o88b2o108b2o114b
2o5544bo3bo$b2o4744bo807b2o114b2o108b2o88b2o108b2o114b2o5544bo$4746b3o
6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo
2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o
6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460b
o2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bobo11$5555b2o114b2o108b2o
88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$5555b2o114b2o
108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o7$6912b3o$
6912bo2bo$6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734b
ob2o$11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$
4741bo2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290b
ob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2b
o$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$
4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o805b2o114b2o108b2o88b2o
108b2o114b2o3091b3o$2453b2obo2290b3o805b2o114b2o108b2o88b2o108b2o114b
2o3091bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10b
o2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b
3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bobo15$5555b2o114b
2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$5555b
2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o3$
6912b3o$6912bo2bo$6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913b
obo4734bob2o$11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo
2163b3o$4741bo2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo
2162b3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o
2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o
4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$
2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b
2o4441bo3bo$10bo2442b3o3099b2o114b2o108b2o88b2o108b2o114b2o3091bo3bo$
6bo3bo2443b2o3099b2o114b2o108b2o88b2o108b2o114b2o3091bo$6bo3bo9180bobo
$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460b
obo19$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o
108b2o114b2o30$5555b2o114b2o108b2o88b2o108b2o114b2o813b3o$5555b2o114b
2o108b2o88b2o108b2o114b2o813bo2bo$6912bo$6912bo3bo$6912bo3bo4734bo$
6912bo4737b3o$6913bobo4734bob2o$11651b3o$11651b3o$11651b3o$4739b3o
2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$4737bo3bo2162b3o
2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2o
bo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$
3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o
2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo
2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6b
o3bo9180bobo$10bo$7bobo5545b2o114b2o108b2o88b2o108b2o114b2o$5555b2o
114b2o108b2o88b2o108b2o114b2o$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459b
o3bo$2463bo$2460bobo23$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o
114b2o108b2o88b2o108b2o114b2o26$6912b3o$6912bo2bo$6912bo$6912bo3bo$
5555b2o114b2o108b2o88b2o108b2o114b2o813bo3bo4734bo$5555b2o114b2o108b2o
88b2o108b2o114b2o813bo4737b3o$6913bobo4734bob2o$11651b3o$11651b3o$
11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$
4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o
2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o
9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo
2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o
2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3b
o2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo
3091b2o114b2o108b2o88b2o108b2o114b2o$2459bo3bo3091b2o114b2o108b2o88b2o
108b2o114b2o$2459bo3bo$2463bo$2460bobo27$5555b2o114b2o108b2o88b2o108b
2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o22$6912b3o$6912bo2bo$
6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$
11651b3o$5555b2o114b2o108b2o88b2o108b2o114b2o5552b3o$5555b2o114b2o108b
2o88b2o108b2o114b2o5552b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741b
o2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$
b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o
9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o
6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo
2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o
6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460b
o2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bobo3092b2o114b2o108b2o88b
2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$5555b2o114b2o
108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o18$6912b3o
$6912bo2bo$6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo
4734bob2o$11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo
2163b3o$4741bo813b2o114b2o108b2o88b2o108b2o114b2o805b2obo2290bo$4737bo
3bo813b2o114b2o108b2o88b2o108b2o114b2o805b3o2290b3o$2bo4734bo3bo2162b
3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o
2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo
6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$2453b2obo
2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3b
o$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$
2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bobo4$5555b2o
114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$
5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o
114b2o14$6912b3o$6912bo2bo$6912bo$6912bo3bo$6912bo3bo4734bo$6912bo
4737b3o$6913bobo4734bob2o$11651b3o$11651b3o$11651b3o$4739b3o2164bo
4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$4737bo3bo2162b3o2290b3o
$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734b
obo814b2o114b2o108b2o88b2o108b2o114b2o806b2o2291b3o2442bo2bo$3o5552b2o
114b2o108b2o88b2o108b2o114b2o3099b3o2442bo$3o9195b2o2443bo3bo$3o11640b
o3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o
4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b
3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo
9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$
2463bo$2460bobo8$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o
108b2o88b2o108b2o114b2o30$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o
114b2o108b2o88b2o108b2o114b2o10$6912b3o$6912bo2bo$6912bo$6912bo3bo$
6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$11651b3o$11651b3o$
11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$
4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o
2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o
9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo807b2o114b2o108b2o88b2o108b2o
114b2o5544bo$4746b3o806b2o114b2o108b2o88b2o108b2o114b2o5545bobo$2455bo
2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o
2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3b
o2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$
2459bo3bo$2459bo3bo$2463bo$2460bobo12$5555b2o114b2o108b2o88b2o108b2o
114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$5555b2o114b2o108b2o88b2o
108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o6$6912b3o$6912bo2bo$
6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$
11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741b
o2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$
b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o
9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o
6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o805b2o
114b2o108b2o88b2o108b2o114b2o3091bo2bo$8b3o2442b3o2291b3o805b2o114b2o
108b2o88b2o108b2o114b2o3091bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b
3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$
2460bo2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bobo16$5555b2o114b2o
108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$5555b2o
114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o2$
6912b3o$6912bo2bo$6912bo$6912bo3bo$6912bo3bo4734bo$6912bo4737b3o$6913b
obo4734bob2o$11651b3o$11651b3o$11651b3o$4739b3o2164bo4744b2o$4738bo2bo
2163b3o$4741bo2162b2obo2290bo$4737bo3bo2162b3o2290b3o$2bo4734bo3bo
2162b3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734bobo2164b2o
2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640bo3bo$b2o
4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o4440b3o$
2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b3o2291b
2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o3099b2o114b2o108b2o88b2o
108b2o114b2o3091bo$6bo3bo5544b2o114b2o108b2o88b2o108b2o114b2o3092bobo$
10bo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$2463bo$2460bo
bo20$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o108b2o88b2o108b
2o114b2o29$6912b3o$5555b2o114b2o108b2o88b2o108b2o114b2o813bo2bo$5555b
2o114b2o108b2o88b2o108b2o114b2o813bo$6912bo3bo$6912bo3bo4734bo$6912bo
4737b3o$6913bobo4734bob2o$11651b3o$11651b3o$11651b3o$4739b3o2164bo
4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$4737bo3bo2162b3o2290b3o
$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o2442b3o$2obo4734b
obo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o2443bo3bo$3o11640b
o3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o$2454b3o2290b3o
4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o4440bo$7bo2bo2442b
3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b2o6734bo$6bo3bo
9180bobo$10bo$7bobo$5555b2o114b2o108b2o88b2o108b2o114b2o$2461b3o3091b
2o114b2o108b2o88b2o108b2o114b2o$2460bo2bo$2463bo$2459bo3bo$2459bo3bo$
2463bo$2460bobo24$5555b2o114b2o108b2o88b2o108b2o114b2o$5555b2o114b2o
108b2o88b2o108b2o114b2o25$6912b3o$6912bo2bo$6912bo$6912bo3bo$6912bo3bo
4734bo$5555b2o114b2o108b2o88b2o108b2o114b2o813bo4737b3o$5555b2o114b2o
108b2o88b2o108b2o114b2o814bobo4734bob2o$11651b3o$11651b3o$11651b3o$
4739b3o2164bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$4737bo3bo
2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o2291b3o
2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o9195b2o
2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo2290bob2o
$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o2291b3o
4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3bo2443b
2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$2459bo3bo
3091b2o114b2o108b2o88b2o108b2o114b2o$2459bo3bo3091b2o114b2o108b2o88b2o
108b2o114b2o$2463bo$2460bobo28$5555b2o114b2o108b2o88b2o108b2o114b2o$
5555b2o114b2o108b2o88b2o108b2o114b2o21$6912b3o$6912bo2bo$6912bo$6912bo
3bo$6912bo3bo4734bo$6912bo4737b3o$6913bobo4734bob2o$11651b3o$11651b3o$
5555b2o114b2o108b2o88b2o108b2o114b2o5552b3o$4739b3o813b2o114b2o108b2o
88b2o108b2o114b2o807bo4744b2o$4738bo2bo2163b3o$4741bo2162b2obo2290bo$
4737bo3bo2162b3o2290b3o$2bo4734bo3bo2162b3o2290bob2o$b3o4737bo2162b3o
2291b3o2442b3o$2obo4734bobo2164b2o2291b3o2442bo2bo$3o9195b3o2442bo$3o
9195b2o2443bo3bo$3o11640bo3bo$b2o4744bo6895bo$4746b3o6895bobo$2455bo
2290bob2o$2454b3o2290b3o4440b3o$2453b2obo2290b3o4440bo2bo$8b3o2442b3o
2291b3o4440bo$7bo2bo2442b3o2291b2o4441bo3bo$10bo2442b3o6734bo3bo$6bo3b
o2443b2o6734bo$6bo3bo9180bobo$10bo$7bobo2$2461b3o$2460bo2bo$2463bo$
2459bo3bo$2459bo3bo$2463bo$2460bobo$5555b2o114b2o108b2o88b2o108b2o114b
2o$5555b2o114b2o108b2o88b2o108b2o114b2o30$5555b2o114b2o108b2o88b2o108b
2o114b2o$5555b2o114b2o108b2o88b2o108b2o114b2o!


dvgrn wrote:More shortly...

Looking forward :)
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 4th, 2014, 1:58 am

Is this fast salvo synthesizable with kickbacks?
x = 224, y = 119, rule = B3/S23
2o15b2o$2o14b2o$18bo2$11b3o$11bo$12bo2$4b2o$4bobo$4bo19$41b3o33b2o$41b
o34b2o$42bo35bo2$71b3o$71bo$72bo2$64b2o$64bobo$64bo19$101b3o33b2o$101b
o34b2o$102bo35bo2$131b3o$131bo$132bo2$124b2o$124bobo$124bo19$161b3o33b
2o$161bo34b2o$162bo35bo2$191b3o$191bo$192bo2$184b2o$184bobo$184bo19$
221b3o$221bo$222bo!
Ivan Fomichev
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 4th, 2014, 3:12 am

chris_c wrote:I built proper forerakes into the design and even managed to make it slightly thinner than the first example pattern. The width is less than 12,000 so judging by the length of your 55R HWSS rake, a complete spaceship of size 12,000x120,000 seems fairly possible.

Your frontend is compatible with Calcyman's 4-to-6, so one can actually get by with just 8 northbound HWSS.

EDIT: Oh, not really. Calcyman's 4-to-6 builds 2 trails on the same side, while in your design both outmost trails are built last.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 4th, 2014, 4:50 am

chris_c wrote:I built proper forerakes into the design and even managed to make it slightly thinner than the first example pattern. The width is less than 12,000 so judging by the length of your 55R HWSS rake, a complete spaceship of size 12,000x120,000 seems fairly possible.

That will be a significant improvement over the current record-holder, which turns out to be 934852 by 290482.
The phase that I saved to Dropbox just happened to have the smallest bounding box, and also the minimum population of 3600626. It's over fifteen megabytes as RLE, but "only" 721K as an .mc.gz. The spaceship contains 645,000+ gliders -- about 90% of the pattern is made up of glider streams.

codeholic wrote:Is this fast salvo synthesizable with kickbacks?

Not quite in the order that one might expect, but yes:

x = 1251, y = 2454, rule = LifeHistory
.A$2.A$3A3$1218.A.A$1218.2A$1219.A84$61.A$62.A$60.3A3$1158.A.A$1158.
2A$1159.A84$121.A$122.A$120.3A3$1098.A.A$1098.2A$1099.A84$181.A$182.A
$180.3A3$1038.A.A$1038.2A$1039.A76$365.A$366.2A$365.2A2$1224.A$1223.A
$1223.3A2$241.A$242.A$240.3A3$978.A.A$978.2A$979.A76$425.A$426.2A$
425.2A2$1164.A$1163.A$1163.3A2$301.A$302.A$300.3A3$918.A.A$918.2A$
919.A76$485.A$486.2A$485.2A2$1104.A$1103.A$1103.3A2$361.A$362.A$360.
3A3$858.A.A$858.2A$859.A72$631.A$632.A$630.3A2$545.A$546.2A700.A.A$
545.2A701.2A$1249.A$1044.A$1043.A$1043.3A2$421.A$422.A$420.3A3$798.A.
A$798.2A$799.A72$691.A$692.A$690.3A2$605.A$606.2A580.A.A$605.2A581.2A
$1189.A$984.A$983.A$983.3A2$481.A$482.A$480.3A3$738.A.A$738.2A$739.A
72$751.A$752.A$750.3A2$665.A$666.2A460.A.A$665.2A461.2A$1129.A$924.A$
923.A$923.3A2$541.A$542.A$540.3A3$678.A.A$678.2A$679.A43$488.2A15.2A$
488.2A14.2A$506.A2$499.3A$499.A$500.A2$492.2A$492.A.A$492.A19$529.3A
33.2A244.A$529.A34.2A246.A$530.A35.A243.3A2$559.3A163.A$559.A166.2A
340.A.A$560.A164.2A341.2A$1069.A$552.2A310.A$552.A.A308.A$552.A310.3A
2$601.A$602.A$600.3A3$618.A.A$618.2A$619.A10$589.3A33.2A$589.A34.2A$
590.A35.A2$619.3D$619.D$620.D2$612.2A$612.A.A$612.A19$649.3A33.2A$
649.A34.2A$650.A35.A6$672.2A$672.A.A$672.A19$709.3A33.2A$709.A34.2A$
710.A35.A2$871.A$872.A$870.3A2$732.2A51.A$732.A.A51.2A220.A.A$732.A
52.2A221.2A$1009.A$804.A$803.A$803.3A15$769.3A33.2D$769.A34.2D$770.A
35.D6$792.2A$792.A.A$792.A19$829.3A$829.A$830.A6$852.2A$852.A.A$852.A
19$889.3A$889.A$890.A6$912.2A17.A$912.A.A17.A$912.A17.3A3$948.A.A$
948.2A$949.A14$949.3D$949.D$950.D6$972.2A$972.A.A$972.A27$1032.2A$
1032.A.A$1032.A27$1092.2A$1092.A.A$1092.A27$1152.2A$1152.A.A$1152.A
27$1212.2A$1212.A.A$1212.A497$445.A.A471.A$446.2A469.A.A$446.A471.2A
2$705.A472.A$705.A.A468.2A$705.2A470.2A85$505.A.A471.A$506.2A469.A.A$
506.A471.2A2$645.A472.A$645.A.A468.2A$645.2A470.2A48$467.A470.2A$466.
2A470.A.A$466.A.A469.A27$527.A470.2A$526.2A470.A.A$526.A.A469.A6$565.
A.A471.A$566.2A469.A.A$566.A471.2A2$585.A472.A$585.A.A468.2A$585.2A
470.2A15$587.D470.2D$586.2D470.D.D$586.D.D469.D319$445.A472.A$446.2A
471.A$445.2A470.3A2$704.A$703.A471.A.A$703.3A469.2A$1176.A84$505.A
472.A$506.2A471.A$505.2A470.3A2$644.A$643.A471.A.A$643.3A469.2A$1116.
A47$465.2A469.3A$464.2A470.A$466.A470.A27$525.2A469.3A$524.2A470.A$
526.A470.A6$565.A472.A$566.2A471.A$565.2A470.3A2$584.A$583.A471.A.A$
583.3A469.2A$1056.A14$585.2D469.3D$584.2D470.D$586.D470.D!
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 4th, 2014, 5:18 am

dvgrn wrote:That will be a significant improvement over the current record-holder, which turns out to be 934852 by 290482.

Congratulations! We need to update the wiki :)
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 4th, 2014, 5:26 am

Congratulations! Even though it would increase the population it is tempting to make the back-end symmetrical with something like this:

x = 561, y = 10, rule = B3/S23
2bo$o3bo$5bo549b5o$o4bo549bo4bo$b5o549bo$556bo3bo$558bo2$8b2o114b2o
108b2o88b2o108b2o114b2o$8b2o114b2o108b2o88b2o108b2o114b2o!
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 4th, 2014, 8:49 am

chris_c wrote:Congratulations! Even though it would increase the population it is tempting to make the back-end symmetrical...

Well, there's nothing stopping you I suppose, but it may not even get a "trivial variant" mention on the wiki. It's probably possible to reduce the population and the length and make it 20-timeshift-symmetrical, by using three kickbacks from three different forward rakes to shoot down three block trails from each side.

But I don't mind a little asymmetry in the details, myself -- by and large the Shield-Bug is a fairly symmetrical spaceship, and it definitely turned out to be an unusual shape (i.e., not just a boring straight line.) Seems as if the next big project should be to finish a "reasonable-sized" ship using some variation on the new MWSS+G->beehive>block front end.

I'm also very curious to look at the old 17c/45 Caterpillar and see how much shorter it could be made with this slow-salvo technology. Does this forward-glider HWSS recipe work at 17c/45 for all the HWSSes in the helix? If there are similar forward-glider salvos for MWSS and LWSS, then it will be possible to stack the rakes much more tightly...!
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 4th, 2014, 9:37 am

I've created a couple of stub articles in the wiki.

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Re: 31c/240 caterpillar working notes

Postby chris_c » September 4th, 2014, 2:11 pm

Here is a link to a 31c/240 spaceship based on the 6 stream front end. Minimum population is 620,901. I missed my prediction of 12,000x120,000 for the bounding box even though I made a smaller MWSS based back-end by doing some mod 31 arithmetic to reduce the number of rephasers required. The HWSS puffers are lifted from dvgrn's pattern without modification.

http://www.filedropper.com/31c240-6streamrle
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Re: 31c/240 caterpillar working notes

Postby HartmutHolzwart » September 4th, 2014, 3:12 pm

the link doesn't work for me unforunately!

My hearty congratulations to all who contributed!!!

This really seems to get the year of the caterpillar!
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 4th, 2014, 5:07 pm

chris_c wrote:Here is a link to a 31c/240 spaceship based on the 6 stream front end.

Congratulations! Any ideas for the name? The spaceship's shape reminds me bark beetle's galleries. So maybe "bark beetle"?

EDIT: I created a stub article with a standard name for now.
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 4th, 2014, 7:23 pm

codeholic wrote:Any ideas for the name?


It most looks like a biro to me, so how's that for a name? Not too stupid? If I had left the backend asymmetrical then the Quill might have been a good name instead.
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 4th, 2014, 7:58 pm

HartmutHolzwart wrote:the link doesn't work for me unforunately!


Hmm... I tested the download link and it didn't open correctly for me. I have dumped the plain rle here so hopefully that works better:

https://gist.githubusercontent.com/ceeb ... tfile1.txt
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 4th, 2014, 11:11 pm

chris_c wrote:Here is a link to a 31c/240 spaceship based on the 6 stream front end. Minimum population is 620,901.

My turn to say congratulations -- I wasn't expecting a complete new spaceship quite so soon! This is much closer to the size I was hoping for. Seems as if the shield-bug spaceship was a useful stepping stone, anyway.

chris_c wrote:I missed my prediction of 12,000x120,000 for the bounding box even though I made a smaller MWSS based back-end by doing some mod 31 arithmetic to reduce the number of rephasers required. The HWSS puffers are lifted from dvgrn's pattern without modification.

Ah, well, there's part of your problem. I didn't take the time to be careful to minimize the length of my double HWSS side-puffers -- I was careful instead to keep all the rephasers and rakes in the exact same phase as much as possible, for easier bug-fixing. But that wastes quite a bit of length.

You didn't miss your target by much -- my script says the minimum bounding box is 11642x126714 (so I've updated the wiki entry accordingly). Quite possibly you could recover a few thousand cells per rake by having the components follow each other as closely as possible.

Another obvious target is the tail end, which is over 7500 cells long all by itself. There are any number of unused rephasers toward the end of the ship that could be adjusted to produce forward gliders on any timing you want. Pair those with other rephasers higher up turned into backrakes, and you can get (I think) three nested kickback reactions aiming streams of gliders at the three block trails on each side, right near the end of the ship.

No separate end-cap mechanism needed at all, in that case. The timing will be a bit tricky, but not necessarily impossible -- p240 glider streams are pretty sparse.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 5th, 2014, 1:25 am

chris_c wrote:It most looks like a biro to me, so how's that for a name? Not too stupid? If I had left the backend asymmetrical then the Quill might have been a good name instead.

I like 'quill' or 'feather' much better than 'biro', because it refers not only to the core of Herschel trails, but also to "barb" of gliders. But that's your ship, you are to decide :) So?
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 5th, 2014, 6:51 am

dvgrn wrote:I didn't take the time to be careful to minimize the length of my double HWSS side-puffers -- I was careful instead to keep all the rephasers and rakes in the exact same phase as much as possible, for easier bug-fixing. But that wastes quite a bit of length.

I noticed that, but the quick copy-and-paste job was just too tempting. It will probably be best to write some kind of script in order to get maximal packing. Working with just the mouse is too error prone for me.

dvgrn wrote:Another obvious target is the tail end, which is over 7500 cells long all by itself. There are any number of unused rephasers toward the end of the ship that could be adjusted to produce forward gliders on any timing you want. Pair those with other rephasers higher up turned into backrakes, and you can get (I think) three nested kickback reactions aiming streams of gliders at the three block trails on each side, right near the end of the ship.

No separate end-cap mechanism needed at all, in that case. The timing will be a bit tricky, but not necessarily impossible -- p240 glider streams are pretty sparse.

Good idea. I hadn't thought of delving inside the HWSS puffer sections in order to get a head start on making the kickbacks. In a similar vein it may possible to place the final "R3L21F, rephase 1, R1L0F" inside the diamond shape of the next heisenburp rake. It looks like it needs 50 to 100 cells of tighter packing, or a larger diamond shape for the idea to work but it would probably save in the region of 5 x 1,000 cells in length. Not to be sniffed at.

One other little optimisation is to replace the 7R section "rephase 2, R5L1F" with "rephase 1, R1L0F, rephase 5", thus destroying the hive on lane 9 rather than lane 19. (This is correct, I checked it). All those extra rephasers should pack down smaller than the R5L1F rake.

codeholic wrote:I like 'quill' or 'feather' much better than 'biro', because it refers not only to the core of Herschel trails, but also to "barb" of gliders

Yes, looking at it again I suppose the ship bears a passable resemblance to a feather so let's go with that.
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Re: 31c/240 caterpillar working notes

Postby dvgrn » September 5th, 2014, 6:57 am

chris_c wrote:
codeholic wrote:
chris_c wrote:It most looks like a biro to me, so how's that for a name? Not too stupid? If I had left the backend asymmetrical then the Quill might have been a good name instead.

I like 'quill' or 'feather' much better than 'biro', because it refers not only to the core of Herschel trails, but also to "barb" of gliders.

Yes, looking at it again I suppose the ship bears a passable resemblance to a feather so let's go with that.

One last thought on naming: if you followed the tradition of naming these things after appropriate insects, and borrowed Extrementhusiast's suggestion from another thread, this ship would make a reasonably good Centipede.

It even has the right number of "legs", though some of them are a little short -- within a factor of two anyway, which is more than some real centipedes can say.
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Re: 31c/240 caterpillar working notes

Postby chris_c » September 5th, 2014, 8:07 am

dvgrn wrote:It even has the right number of "legs", though some of them are a little short -- within a factor of two anyway, which is more than some real centipedes can say.

I suppose the bug tradition would be a shame to give up. I'm definitely happy with Centipede if nobody else minds.
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Re: 31c/240 caterpillar working notes

Postby codeholic » September 5th, 2014, 8:24 am

Let it be centipede.
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Re: 31c/240 caterpillar working notes

Postby HartmutHolzwart » September 5th, 2014, 11:28 am

Congratulations again!

Please keep on optimizing this ship! Every technique developed in this project might be usable in similar future projects!
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