Thread for basic non-CGOL questions

[PK22]

Are there any more natural speeds in this rule?

Code: Select all

x = 66, y = 70, rule = B34a5i/S23-a68
3o2b3o10b4o10b3o$o5bo11bo2bo10bo$bo16bo2bo$6bo26b3o19$4b2o$3bo2bo$4b3o
40$62bo$62b2obo$62bo$57b2o$56bobo$56b2o!

Haven't found any more with apgsearch yet, but here's a 3-engine corderisation for the loaf puffer:

Code: Select all

x = 39, y = 85, rule = B34a5i/S23-a68
32bo$31bobo$31bo2bo$32b2o12$6bo$5bobo14bo10b2o$4bo2bo13bobo8b5o$5b2o
13bo2bo7b7o$21b2o8b2o2bo2bo$30b2o2b2obo$31bobob2o2$33b2o8$4b2o10bo$2b
5o8bobo$b7o7bo2bo$o2bo2b2o8b2o$bob2o2b2o$2b2obobo2$4b2o8$22bo$21bobo$
20bo2bo$21b2o12$16bo$15bobo$15bo2bo$16b2o13$17b2o$16b5o$15b7o$15b2o2bo
2bo$14b2o2b2obo$15bobob2o2$17b2o!

Speed is 30c/292, or 15c/146 simplified. I'll look into a corderisation for the oblique puffer.

[WhiteHawk]

Are there any more natural speeds in this rule?

Code: Select all

Haven't found any more with apgsearch yet, but here's a 3-engine corderisation for the loaf puffer:

Code: Select all

Speed is 30c/292, or 15c/146 simplified. I'll look into a corderisation for the oblique puffer.

Here's a fun little 2-engine variant of that weird oblique pufferrake which may help with it's own corderization

Code: Select all

x = 31, y = 21, rule = B34a5i/S23-a68
27bo$27b2obo$27bo$22b2o$21bobo$21b2o10$6bo$6b2obo$6bo$b2o$obo$2o!

EDIT: More variants in the same phase

Sixrake with five still-life output trails

Code: Select all

x = 61, y = 58, rule = B34a5i/S23-a68
57bo$57b2obo$57bo$52b2o$51bobo$51b2o10$36bo$36b2obo$36bo$31b2o$30bobo
$30b2o32$6bo$6b2obo$6bo$b2o$obo$2o!

backrake with a lot of ash

Code: Select all

x = 50, y = 51, rule = B34a5i/S23-a68
46bo$46b2obo$46bo$41b2o$40bobo$40b2o10$25bo$25b2obo$25bo$20b2o$19bobo
$19b2o25$6bo$6b2obo$6bo$b2o$obo$2o!

Only two tails

Code: Select all

x = 49, y = 50, rule = B34a5i/S23-a68
45bo$45b2obo$45bo$40b2o$39bobo$39b2o10$24bo$24b2obo$24bo$19b2o$18bobo
$18b2o24$6bo$6b2obo$6bo$b2o$obo$2o!

[Naszvadi]

Corderized:

Code: Select all

x = 4924, y = 8039, rule = B34a5i/S23-a68
o$o$o14$8bo$8bo$8bo14$16bo$16bo$16bo14$24bo$24bo$24bo14$32bo$32bo$32bo
5$76b2o$76bobo$76bo7$40bo$40bo$40bo14$48bo$48bo$48bo14$56bo$56bo$56bo
14$64bo$64bo$64bo14$72bo$72bo$72bo14$80bo$80bo$80bo78b2o$159bobo$159bo
12$88bo$88bo$88bo14$96bo$96bo$96bo14$104bo$104bo$104bo14$112bo$112bo$
112bo14$120bo$120bo$120bo11$242b2o$242bobo$242bo$128bo$128bo$128bo14$
136bo$136bo$136bo14$144bo$144bo$144bo14$152bo$152bo$152bo14$160bo$160b
o$160bo14$168bo$168bo$168bo6$325b2o$325bobo$325bo6$176bo$176bo$176bo
14$184bo$184bo$184bo14$192bo$192bo$192bo14$200bo$200bo$200bo14$208bo$
208bo$208bo14$216bo$216bo$216bo$408b2o$408bobo$408bo11$224bo$224bo$
224bo14$232bo$232bo$232bo14$240bo$240bo$240bo14$248bo$248bo$248bo14$
256bo$256bo$256bo12$491b2o$491bobo$264bo226bo$264bo$264bo14$272bo$272b
o$272bo14$280bo$280bo$280bo14$288bo$288bo$288bo14$296bo$296bo$296bo14$
304bo$304bo$304bo7$574b2o$574bobo$574bo5$312bo$312bo$312bo14$320bo$
320bo$320bo14$328bo$328bo$328bo14$336bo$336bo$336bo14$344bo$344bo$344b
o14$352bo$352bo$352bo2$657b2o$657bobo$657bo10$360bo$360bo$360bo14$368b
o$368bo$368bo14$376bo$376bo$376bo14$384bo$384bo$384bo9$2703bo$2700bob
2o$2703bo2$2848b3o$392bo$392bo$392bo9$2561bo$2558bob2o$2561bo2$740b2o
2114b3o$400bo339bobo$400bo339bo$400bo9$2419bo$2416bob2o$2419bo2$2864b
3o$408bo$408bo$408bo9$2277bo$2274bob2o$2277bo2$2872b3o$416bo$416bo$
416bo9$2135bo$2132bob2o$2135bo2$2880b3o$424bo$424bo$424bo9$1993bo$
1990bob2o$1993bo2$2888b3o$432bo$432bo$432bo9$1851bo$1848bob2o$1851bo2$
2896b3o$440bo$440bo$440bo8$823b2o$823bobo883bo$823bo882bob2o$1709bo2$
2904b3o$448bo$448bo$448bo9$1567bo$1564bob2o$1567bo2$2912b3o$456bo$456b
o$456bo8$1439b3o5$2920b3o$464bo984b2o$464bo984bobo$464bo984bo8$1447b3o
5$2928b3o$472bo$472bo$472bo8$1455b3o5$2936b3o$480bo$480bo$480bo8$1463b
3o5$2944b3o$488bo$488bo$488bo3$906b2o$906bobo$906bo3$1471b3o5$2952b3o$
496bo$496bo$496bo8$1479b3o5$2960b3o$504bo$504bo$504bo8$1487b3o$1532b2o
$1532bobo$1532bo2$2968b3o$512bo$512bo$512bo8$1495b3o5$2976b3o$520bo$
520bo$520bo8$1503b3o5$2984b3o$528bo$528bo$528bo8$1511b3o5$2992b3o$536b
o452b2o$536bo452bobo$536bo452bo8$1519b3o5$3000b3o$544bo$544bo$544bo8$
1527b3o5$3008b3o$552bo$552bo$552bo4$1615b2o$1615bobo$1615bo2$1535b3o5$
3016b3o$560bo$560bo$560bo8$1543b3o5$3024b3o$568bo$568bo$568bo8$1551b3o
5$3032b3o$576bo$576bo$576bo8$1559b3o$1072b2o$1072bobo$1072bo2$3040b3o$
584bo$584bo$584bo8$1567b3o5$3048b3o$592bo$592bo$592bo8$1575b3o5$3056b
3o$600bo$600bo1097b2o$600bo1097bobo$1698bo7$1583b3o5$3064b3o$608bo$
608bo$608bo8$1591b3o5$3072b3o$616bo$616bo$616bo8$1581b3o15b3o$1556b2o$
1556b3o$1556b2o2$3080b3o$624bo$624bo$624bo4$1155b2o$1155bobo$1155bo2$
1589b3o15b3o$1414b2o$1414b3o$1414b2o2$3088b3o$632bo$632bo$632bo8$1597b
3o15b3o$1272b2o$1272b3o$1272b2o2$3096b3o$640bo$640bo$640bo8$1605b3o15b
3o$1130b2o$1130b3o648b2o$1130b2o649bobo$1781bo$3104b3o$648bo$648bo$
648bo8$1613b3o15b3o$988b2o$988b3o$988b2o2$3112b3o$656bo$656bo$656bo7$
896bo$896bo724b3o15b3o$896bo4$3120b3o$664bo$664bo$664bo7$904bo$904bo
724b3o15b3o$904bo4$3128b3o$672bo$672bo249b2o314b2o$672bo248b2o315bobo$
923bo314bo6$912bo$912bo724b3o15b3o$912bo4$3136b3o$680bo$680bo$680bo7$
920bo$920bo724b3o15b3o$920bo4$3144b3o$688bo$688bo$688bo5$1864b2o$1864b
obo$928bo935bo$928bo724b3o15b3o$928bo4$3152b3o$696bo$696bo$696bo7$936b
o$936bo724b3o15b3o$936bo4$3160b3o$704bo$704bo$704bo7$944bo$944bo724b3o
15b3o$944bo4$3168b3o$712bo$712bo$712bo7$952bo$952bo724b3o15b3o$952bo$
1005b2o314b2o$1004b2o315bobo$1006bo314bo$3176b3o$720bo$720bo$720bo7$
960bo$960bo724b3o15b3o$960bo4$3184b3o$728bo$728bo$728bo7$968bo$968bo
724b3o15b3o$968bo4$3192b3o$736bo$736bo$736bo1210b2o$1947bobo$1947bo5$
976bo$976bo724b3o15b3o$976bo4$3200b3o$744bo$744bo$744bo7$984bo$984bo
724b3o15b3o$984bo4$3208b3o$752bo$752bo$752bo7$992bo$992bo724b3o15b3o$
992bo4$3216b3o$760bo$760bo$760bo5$1088b2o314b2o$1087b2o315bobo$1000bo
88bo314bo$1000bo724b3o15b3o$1000bo4$3224b3o$768bo$768bo$768bo7$1008bo$
1008bo724b3o15b3o$1008bo4$3232b3o$776bo$776bo$776bo7$1016bo$1016bo724b
3o15b3o$1016bo2$2030b2o$2030bobo$2030bo1209b3o$784bo$784bo$784bo7$
1024bo$1024bo724b3o15b3o$1024bo4$3248b3o$792bo$792bo$792bo7$1032bo$
1032bo724b3o15b3o$1032bo4$3256b3o$800bo$800bo$800bo7$1040bo$1040bo724b
3o15b3o$1040bo4$3264b3o$808bo$808bo$808bo362b2o314b2o$1170b2o315bobo$
1172bo314bo5$1048bo$1048bo724b3o15b3o$1048bo4$3272b3o$816bo$816bo$816b
o7$1056bo695b3o$1056bo724b3o15b3o$1056bo$1713b3o3$3280b3o$824bo$824bo$
824bo6$2113b2o$1064bo695b3o350bobo$1064bo724b3o15b3o303bo$1064bo$1721b
3o3$3288b3o$832bo$832bo$832bo6$1813bo3bo$1072bo695b3o43bo$1072bo738b2o
b2o$1072bo728bo9b2o2bo$1729b3o69bo8b3o$1799bo5bo6bo$1798b4ob2obo7b2o$
1793b2o2bo2bo2bo2bo7b2o1480b3o$840bo956b3obo3bo9bo$840bo960bo2b2o$840b
o960b2obo9b2o$1803bo8b5o$1817bo$1806b3o2bo3b2o$1811bo3bo$1792bo3bo15b
2o$1793bo$1080bo709b2ob2o$1080bo699bo9b2o2bo$1080bo699bo8b3o$1737b3o
38bo5bo6bo$1777b4ob2obo7b2o$1772b2o2bo2bo2bo2bo7b2o$1776b3obo3bo9bo
1509b3o$848bo931bo2b2o$848bo931b2obo9b2o$848bo933bo8b5o$1796bo$1785b3o
2bo3b2o$1790bo3bo$1768b3o20b2o3$1088bo$1088bo$1088bo$1745b3o$1254b2o
314b2o$1253b2o315bobo170bo$1255bo314bo172bo1568b3o$856bo886bo$856bo$
856bo2$1774bo3bo$1775bo$1772b2ob2o$1762bo9b2o2bo$1762bo8b3o$1096bo663b
o5bo6bo$1096bo662b4ob2obo7b2o$1096bo657b2o2bo2bo2bo2bo7b2o$1758b3obo3b
o9bo$1762bo2b2o$1762b2obo9b2o$1764bo8b5o1542b3o$864bo913bo$864bo902b3o
2bo3b2o$864bo907bo3bo$1773b2o6$1104bo$1104bo$1104bo4$3328b3o$872bo$
872bo$872bo$2196b2o$2196bobo$2196bo4$1112bo$1112bo$1112bo4$3336b3o$
880bo$880bo$880bo7$1120bo$1120bo$1120bo4$3344b3o$888bo$888bo$888bo7$
1128bo$1128bo$1128bo2$1810b3o$1810b3o$1811bo1540b3o$896bo$896bo$896bo
6$1337b2o314b2o$1136bo199b2o315bobo$1136bo201bo314bo$1136bo$1789b3o$
1789b3o$1790bo$3360b3o$904bo$904bo$904bo7$1144bo$1144bo$1144bo4$3368b
3o$912bo$912bo$912bo7$1152bo618b3o$1152bo618b3o$1152bo619bo3$2279b2o$
2279bobo1094b3o$920bo1358bo$920bo$920bo7$1160bo$1160bo$1160bo4$3384b3o
$928bo$928bo$928bo7$1168bo$1168bo$1168bo4$3392b3o$936bo$936bo$936bo2$
1775b2o$1775bobo$1776bo3$1176bo$1176bo616b2o$1176bo615bobo$1793bo3$
3400b3o$944bo$944bo$944bo$1420b2o314b2o$1419b2o315bobo44b2o$1421bo314b
o46bobo$1784bo$1810b3o2$1184bo$1184bo616b2o$1184bo615bobo$1801bo3$
3408b3o$952bo$952bo$952bo2$1791b2o$1791bobo$1792bo$1818b3o2$1192bo$
1192bo616b2o$1192bo615bobo$1809bo3$1074bo2341b3o$960bo17bo95b2obo$960b
o17bo95bo$960bo17bo2$1799b2o$1799bobo$1800bo$1826b3o2$1200bo1161b2o$
1200bo616b2o543bobo$1200bo615bobo543bo$1817bo3$1232bo2191b3o$968bo17bo
245b2obo$968bo17bo245bo$968bo17bo2$1807b2o$1807bobo$1808bo$1834b3o2$
1208bo$1208bo616b2o$1208bo615bobo$1825bo3$1390bo2041b3o$976bo17bo395b
2obo$976bo17bo395bo$976bo17bo2$1815b2o$1815bobo$1816bo$1842b3o2$1216bo
$1216bo616b2o$1216bo615bobo$1833bo3$955bo592bo1891b3o$955bo28bo17bo
545b2obo$955bo28bo17bo545bo$916bo67bo17bo$916bo$916bo906b2o$1823bobo$
1824bo$1850b3o2$1224bo$1224bo616b2o$1224bo615bobo$1841bo2$1503b2o314b
2o$963bo538b2o202bo112bobo1626b3o$963bo28bo17bo493bo201b2obo109bo$963b
o28bo17bo695bo$924bo67bo17bo$924bo918b2o2b2o$924bo914bob2obo2b2o$1838b
2ob2ob2obo$1837b2o4b3o$1844b3o11b3o$1837bo2b2o2b3o$1232bo605b8o$1232bo
605b3obobo2bo$1232bo608bo3b3o$1837b2o$1837b3o$1837b2ob3o$971bo867b3o
12b3o1599b3o$971bo14b2o13b2o836b3o12b2o$971bo13b2o15bo15bo834b2o$932bo
54bo14bobo12b3o831b2o2bo$932bo67b2o3b2o9bob2o831bo2b2o$932bo73bo845b3o
$1000b2ob7o9bo833bo$995bo3b4obo14bo$995bo2bo3b3o4bobo7bo$995bo2bo2b6o
3bo$1001bo6bobo229bo$991b3o4bo8bo2b2o228bo$1007bo3bo228bo$995bo12bo2bo
9bo$995bo12b3o$995bo25bo$965b2o13b2o38b3o2441b3o$964b2o15bo15bo843bo$
966bo14bobo12b3o842bo$940bo38b2o3b2o9bob2o842bo$940bo44bo$940bo38b2ob
7o9bo1446b2o$974bo3b4obo14bo1446bobo$974bo2bo3b3o4bobo7bo1446bo$974bo
2bo2b6o3bo$980bo6bobo$970b3o4bo8bo2b2o257bo$970b2o14bo3bo257bo$970b2o
15bo2bo9bo247bo$970b2o2bo12b3o$970b3o27bo$999b3o$3472b3o$1849bo17bo$
1849bo17bo$948bo900bo17bo$948bo$948bo2$944b3o3$1256bo$1256bo$1256bo$
947b2o13b2o$946b2o15bo15bo$948bo14bobo12b3o$961b2o3b2o9bob2o2499b3o$
967bo889bo17bo$961b2ob7o9bo876bo17bo$956bo3b4obo14bo876bo17bo$956bo2bo
3b3o4bobo7bo$956bo2bo2b6o3bo27b3o15b3o$962bo6bobo$952b3o4bo8bo2b2o$
968bo3bo$956bo12bo2bo9bo$956bo12b3o292bo$956bo25bo281bo$981b3o280bo4$
3488b3o$1865bo17bo$1865bo17bo$1865bo17bo2$1007b3o15b3o5$1272bo313b2o$
1272bo312b2o$1272bo314bo4$3496b3o$1873bo17bo$1873bo17bo$1873bo17bo2$
1015b3o15b3o5$1280bo$1280bo$1280bo4$1852bo1651b3o$1852bo28bo17bo$1852b
o28bo17bo$1813bo67bo17bo$1813bo$1023b3o15b3o769bo5$1288bo$1288bo$1288b
o4$1860bo667b2o982b3o$1860bo28bo17bo620bobo$1860bo28bo17bo620bo$1821bo
67bo17bo$1821bo$1031b3o15b3o769bo5$1296bo$1296bo$1296bo4$1868bo1651b3o
$1868bo42bob2o$1868bo44b2o$1829bo79b2o2b2o$1829bo69bo9bo2bo$1039b3o15b
3o769bo67b2ob2ob2o5b3o$1897bo2b4obo6bo$1896bo5bo2bo9bo$1896b3ob2o2b2o
7b2o$1897bo2b5o8b2o$1304bo595b2ob2o7bo2bo$1304bo596b2o9bo2bo$1304bo
601bo4b2o3bo$1906bo7b2o$1906bo3bo2b3o$1911bo$1890bob2o1634b3o$1892b2o$
1888b2o2b2o$1837bo40bo9bo2bo$1837bo38b2ob2ob2o5b3o$1047b3o15b3o769bo
38bo2b4obo6bo$1875bo5bo2bo9bo$1875b3ob2o2b2o7b2o$1876bo2b5o8b2o$1879b
2ob2o7bo2bo$1312bo567b2o9bo2bo$1312bo572bo4b2o3bo$1312bo572bo7b2o$
1868bo16bo3bo2b3o$1868bo21bo$1868bo$3536b3o$992bo2$992bo852bo$991b3o
851bo$1055b3o15b3o593b2o174bo$1668b2o$1670bo170b3o3$1320bo$1320bo$
1320bo$1872bob2o$1874b2o$1870b2o2b2o$1860bo9bo2bo1670b3o$1858b2ob2ob2o
5b3o$1858bo2b4obo6bo$1857bo5bo2bo9bo$1857b3ob2o2b2o7b2o$1063b3o15b3o
774bo2b5o8b2o$1861b2ob2o7bo2bo$1862b2o9bo2bo$1867bo4b2o3bo$1867bo7b2o$
1328bo538bo3bo2b3o$1328bo543bo$1328bo3$974bo$3552b3o$974bo$973b3o2$
1042b3o$1071b3o15b3o2$1003b3o3$1336bo$1336bo1274b2o$1336bo1274bobo$
2611bo3$3560b3o4$1050b3o$1079b3o15b3o2$1011b3o3$1344bo$1344bo$1344bo4$
3568b3o3$1103bo3bo$1058b3o43bo$1101b2ob2o$1091bo9b2o2bo$1019b3o69bo8b
3o$1089bo5bo6bo$1088b4ob2obo7b2o$1083b2o2bo2bo2bo2bo7b2o246bo$1087b3ob
o3bo9bo246bo$1091bo2b2o256bo$1091b2obo9b2o$1093bo8b5o$1107bo$1096b3o2b
o3b2o2469b3o$1101bo3bo$1082bo3bo15b2o$1083bo$1080b2ob2o825bo$1070bo9b
2o2bo$1070bo8b3o828bo$1027b3o38bo5bo6bo827b3o$1067b4ob2obo7b2o$1062b2o
2bo2bo2bo2bo7b2o$1066b3obo3bo9bo275bo$1070bo2b2o285bo$1070b2obo9b2o
275bo$1072bo8b5o$1086bo$1075b3o2bo3b2o$1080bo3bo667b2o1830b3o$1058b3o
20b2o668b2o$1753bo$1889bo2$1889bo$1888b3o$1035b3o2$1033bo$1033bo334bo$
1033bo334bo$1368bo3$1064bo3bo$1065bo2526b3o$1062b2ob2o$1052bo9b2o2bo$
1052bo8b3o$1050bo5bo6bo$1049b4ob2obo7b2o$1044b2o2bo2bo2bo2bo7b2o$1048b
3obo3bo9bo$1052bo2b2o$1052b2obo9b2o$1054bo8b5o308bo$1068bo307bo$1057b
3o2bo3b2o308bo$1062bo3bo$1063b2o2$1871bo1728b3o2$1871bo$1870b3o3$2694b
2o$984bo1709bobo$2694bo$984bo$983b3o398bo$1384bo$1384bo4$3608b3o10$
1392bo$1392bo$1392bo4$3616b3o5$966bo2$966bo$965b3o2$1400bo$1400bo$
1101bo298bo473b2o$1101bo772bobo$1099b5o771bo2$3624b3o2$1892b2o$1891bob
o$1100b3o789bo$1098bo5bo$1100b3o$1100b3o$1099bo3bo$1100b3o$1408bo$
1408bo426b2o$1408bo425b2o46b2o$1836bo45bobo$1883bo26bo$1910bo$1910bo
1721b3o2$1900b2o$1899bobo$1090b3o15b3o789bo6$1416bo$1416bo$1416bo473b
2o$1890bobo$1891bo26bo$1918bo$1918bo1721b3o2$1908b2o$1907bobo$1098b3o
15b3o789bo6$1424bo$1424bo$1424bo473b2o$1898bobo$1899bo26bo$1926bo$
1926bo1721b3o$2777b2o$1916b2o859bobo$1915bobo859bo$1061b3o42b3o15b3o
789bo$1061b3o$1062bo4$1432bo$1432bo$1432bo473b2o$1906bobo$1907bo26bo$
1934bo$1934bo1721b3o2$1924b2o$1923bobo$1114b3o15b3o789bo3$1489b2o$
1488b3o$1489b2o$1440bo17bo$1440bo17bo$1440bo17bo455b2o$1914bobo$1915bo
26bo$1942bo$1942bo1721b3o2$1932b2o$1931bobo$1122b3o15b3o789bo3$1647b2o
$1646b3o$1647b2o$1448bo17bo$1448bo17bo$1448bo17bo455b2o$976bo945bobo$
1923bo26bo$976bo973bo$975b3o972bo1721b3o2$1940b2o$1939bobo$1130b3o15b
3o789bo2$1918b2o$1805b2o110b2o$1804b3o112bo$1805b2o$1456bo17bo$1456bo
17bo466b3o$1456bo17bo462b2o5bo$1936bobo7b2o$1936b3o2bob2o13bo$1936b2o
4b2o14bo$1937b2o2bobo14bo1721b3o$1936bob3o$1942bo3bo$1936bo2b2o3b3o$
1138b3o15b3o779bo6bo$1935bobob2o$1941bo12bo$1940b2o13bo$1952bo2bo$
1939bo11b2o$1464bo17bo467b2o2bo$958bo505bo17bo467bo3bo$1464bo17bo468bo
2bo$958bo992b3o$957b3o2$3688b3o4$1146b3o15b3o5$1939b3o$1472bo17bo$
1472bo17bo$1472bo17bo1369b2o$2860bobo$2860bo2$3696b3o$956b3o3$1154b3o
15b3o5$1947b3o15b3o$1480bo17bo$1480bo17bo$1480bo17bo4$3704b3o$964b3o3$
1162b3o15b3o5$1955b3o15b3o$1488bo17bo$977b3o508bo17bo$1488bo17bo4$
3712b3o$972b3o3$1170b3o15b3o5$1963b3o15b3o$1053b3o440bo17bo$985b3o65b
3o440bo17bo$1054bo441bo17bo4$3720b3o$980b3o3$1178b3o15b3o5$1971b3o15b
3o$1504bo17bo$993b3o508bo17bo$1504bo17bo4$3728b3o$988b3o2$1157b3o$
1186b3o15b3o2$1118b3o3$1979b3o15b3o$1512bo17bo$1001b3o508bo17bo$1512bo
17bo4$3736b3o$996b3o2$1165b3o$1194b3o15b3o2$1126b3o$2943b2o$2943bobo$
1987b3o15b3o935bo$1520bo17bo$1009b3o508bo17bo$1520bo17bo4$3744b3o$
1004b3o$1218bo3bo$1173b3o43bo$1216b2ob2o$1206bo9b2o2bo$1134b3o69bo8b3o
$1204bo5bo6bo$1203b4ob2obo7b2o$1198b2o2bo2bo2bo2bo7b2o774b3o15b3o$
1202b3obo3bo9bo307bo17bo$1017b3o186bo2b2o317bo17bo$1206b2obo9b2o307bo
17bo$1208bo8b5o$1222bo$1211b3o2bo3b2o$1216bo3bo2531b3o$1012b3o182bo3bo
15b2o$1198bo$1195b2ob2o$1185bo9b2o2bo$1185bo8b3o$1142b3o38bo5bo6bo$
1182b4ob2obo7b2o$1177b2o2bo2bo2bo2bo7b2o$1181b3obo3bo9bo803b3o15b3o$
1185bo2b2o346bo17bo$1025b3o157b2obo9b2o336bo17bo$1187bo8b5o335bo17bo$
1201bo$1190b3o2bo3b2o$1195bo3bo$1173b3o20b2o2562b3o$1020b3o5$1150b3o2$
1148bo$1148bo366bo495b3o15b3o$1148bo366bo28bo17bo$1033b3o15b3o461bo28b
o17bo$1476bo67bo17bo$1476bo$1179bo3bo292bo$1180bo$1177b2ob2o2586b3o$
1028b3o136bo9b2o2bo$1167bo8b3o$1165bo5bo6bo$1164b4ob2obo7b2o$1159b2o2b
o2bo2bo2bo7b2o$1163b3obo3bo9bo$1167bo2b2o$1167b2obo9b2o$1169bo8b5o340b
o495b3o15b3o$1183bo339bo28bo17bo$1041b3o15b3o110b3o2bo3b2o340bo28bo17b
o$1177bo3bo302bo67bo17bo$1178b2o304bo$1484bo2$3776b3o$1036b3o8$1531bo
27bo467b3o15b3o$1531bo15bo$1049b3o15b3o461bo14b2o$1492bo53bobo10b6o12b
2o$1492bo69b5o9bob2o$1492bo68bo15b2ob2o$1561b2ob2o11b2ob2o$1560b5o2bo
2bo8bo2204b3o$1044b3o508bo3bo2bo3b5o$1554b3o2b2o4bo1460b2o$1553bobobo
3bo6b2o1456bobo$1552b3ob3o9bobo1455bo$1553bobobo9bo2bo10bo$1554b3o11b
3o$1555bo25bo$1538bo41b3o$1526bo508b3o15b3o$1525b2o$1057b3o15b3o447bob
o10b6o12b2o$1500bo40b5o9bob2o$1500bo39bo15b2ob2o$1500bo39b2ob2o11b2ob
2o$1539b5o2bo2bo8bo$1534bo3bo2bo3b5o2242b3o$1052b3o478b3o2b2o4bo$1532b
obobo3bo6b2o$1531b3ob3o9bobo$1532bobobo9bo2bo10bo$1533b3o11b3o$1531b4o
25bo$1531bo27b3o$1531bo$2043b3o15b3o2$1065b3o15b3o$1508bo$1508bo$1508b
o2$1504b3o2293b3o$1060b3o4$1520bo$1508bo$1215b3o289b2o$1215b3o289bobo
10b6o12b2o$1216bo306b5o9bob2o510b3o15b3o$1522bo15b2ob2o$1073b3o15b3o
428b2ob2o11b2ob2o$1521b5o2bo2bo8bo$1516bo3bo2bo3b5o$1515b3o2b2o4bo32b
3o15b3o$1514bobobo3bo6b2o$1513b3ob3o9bobo2276b3o$1068b3o443bobobo9bo2b
o10bo$1515b3o11b3o$1516bo25bo$1541b3o2$1194b3o$1194b3o$1195bo$2059b3o
15b3o2$1081b3o15b3o3$1567b3o15b3o2$3816b3o$1076b3o7$2038b3o$2067b3o15b
3o2$1089b3o15b3o889b3o3$1575b3o15b3o2$3824b3o$1084b3o2$1176b3o$1176b3o
$1177bo3$2046b3o$2075b3o15b3o2$1097b3o15b3o889b3o$1191b3o$3109b2o$
1583b3o15b3o1505bobo$3109bo$3832b3o$1092b3o7$2054b3o13b2o$2070bobo11b
4o$2070bo13b2o3bo11b3o$1105b3o15b3o889b3o71bo10bo3bo$1199b3o15b3o865bo
4bo9bo$2084bo2b3o$1591b3o15b3o472bo3bo2b4o7b3o$2078b3o2bo2b9o$2082b4o
4bo3bo1745b3o$1100b3o973bo6b2o7b2o$2076bo5bo8b2obo$2076bo5bo8bo2b2o$
2092b3o$2078b3o12bo10b3o$2104b3o$2049b2o54bo$2049bobo11b4o$2049bo13b2o
3bo11b3o$2068bo10bo3bo$1113b3o15b3o889b3o38bo4bo9bo$1207b3o15b3o835bo
2b3o$2063bo3bo2b4o7b3o$1599b3o15b3o437b3o2bo2b9o$2061b4o4bo3bo$2055bo
6b2o7b2o1775b3o$1108b3o62b3o879bo5bo8b2obo$2055bo5bo8bo2b2o$2055bobo
13b3o$2055bo3bo12bo10b3o$2054b2obo25b3o$2084bo5$1121b3o15b3o889b3o$
1215b3o15b3o$2029bo$1607b3o15b3o401bo$2029bo$3856b3o$1116b3o62b3o3$
2031b2o$2031bobo11b4o$2031bo13b2o3bo11b3o$2050bo10bo3bo$2046bo4bo9bo$
1552bo492bo2b3o$2045bo3bo2b4o7b3o$1129b3o15b3o402bo486b3o2bo2b9o28bo
17bo$1223b3o15b3o307b3o489b4o4bo3bo28bo17bo$2037bo6b2o7b2o29bo17bo$
1615b3o15b3o401bo5bo8b2obo$2037bo5bo8bo2b2o$2053b3o1808b3o$1124b3o62b
3o847b3o12bo10b3o$2065b3o$2066bo8$1137b3o15b3o934bo17bo$1231b3o15b3o
840bo17bo$2092bo17bo$1623b3o15b3o2$3872b3o$1132b3o62b3o6$1534bo$3192b
2o$1534bo1657bobo$1533b3o1656bo$1145b3o15b3o934bo17bo$1239b3o15b3o840b
o17bo$1602b3o495bo17bo$1631b3o15b3o2$1563b3o2314b3o$1140b3o62b3o10$
1153b3o15b3o44b3o887bo17bo$1247b3o15b3o840bo17bo$1610b3o495bo17bo$
1639b3o15b3o2$1571b3o2314b3o$1148b3o62b3o2$1146bo$1146bo$1146bo4$1169b
2o$1167bo2bo$1165bob2obo55b3o887bo17bo$1165bo3bo85b3o15b3o389b3o448bo
17bo$1165b3o450b3o42b6o447bo17bo$1168bo493b7o$1168bo492bo2bo$1168bo
410b3o66b2ob4o6b4obo2229b3o$1221b3o418b2o4b2o2bo3bo5b2obobo$1642b2o2bo
bo2bo4bo7b2o$1642b2o3b3o3b3o9b2o$1644bo7bo$1652b3o$1652bobo$1666bo$
1662b4obo$1656b3o2bobob2o$1661bo$1234b3o407b3o15b2o460bo17bo$1282bo
359b6o476bo17bo$1279bo2bo358b7o476bo17bo$1279bo360bo2bo$1260b2o3b3o10b
3obob4o339b2ob4o6b4obo$1260bob3o17bo4b2o298b3o31b2o4b2o2bo3bo5b2obobo
2257b3o$1229b3o29b4obob2o12bobo4bo331b2o2bobo2bo4bo7b2o$1261bo2b2ob2ob
o10b2obo2bobo331b2o3b3o3b3o9b2o$1227bo35b4o2b2o9bo5b2obo333bo7bo$1227b
o36b2o12b2obo6b2o341b3o$1227bo40bo10b6o346bobo$1266b2o11bo4bo360bo$
1267bo4b3o366b4obo$1635b3o2bobob2o$1640bo$1618b3o20b2o$1174b3o84bo870b
o17bo$1174b3o81bo2bo870bo17bo$1175bo82bo873bo17bo$1239b2o3b3o10b3obob
4o$1239bob3o17bo4b2o$1240b4obob2o12bobo4bo326b3o2314b3o$1240bo2b2ob2ob
o10b2obo2bobo$1242b4o2b2o9bo5b2obo324bo$1243b2o12b2obo6b2o324bo$1247bo
10b6o329bo$1245b2o11bo4bo$1246bo4b3o2$1626b3o$1624b6o445b3o$1623b7o
445b3o$1622bo2bo450bo63bo17bo$1609b2ob4o6b4obo512bo17bo$1603b2o4b2o2bo
3bo5b2obobo511bo17bo$1603b2o2bobo2bo4bo7b2o$1603b2o3b3o3b3o9b2o$1605bo
7bo2306b3o$1613b3o$1613bobo$1627bo1647b2o$1623b4obo1646bobo$1617b3o2bo
bob2o1647bo$1622bo$1623b2o4$1204bo943bo17bo$1202b2o944bo17bo$1203b2o
943bo17bo2$1544bo$3928b3o$1544bo$1543b3o3$1224b2o$1224b3o$1224b2o831b
3o$2057b3o$2058bo$2127bo$2127bo28bo17bo$2127bo28bo17bo$2088bo67bo17bo$
2088bo$2088bo$3936b3o10$2135bo$2135bo28bo17bo$2135bo28bo17bo$1526bo
569bo67bo17bo$2096bo$1526bo569bo$1525b3o2416b3o6$1661bo$1660b3o$1659bo
bobo$1658b2obob2o525bo$1658b2obob2o478bo44bo3bo$1659bo3bo479bo42bobobo
$1659bo3bo479bo42bob2o$2104bo71b2o7bo$2104bo69b4o7bo4bo$1658b7o439bo
72bobo5bo$1658bo5bo500bo2bo4b2ob3obo6bo1764b3o$2168bo2b3o2b4o8b3o$
1660b3o504bo4bo3bo2bo$2175b2obo$2176b3o$2187b4o$2181bo4b2o3bo$2181bo3b
ob4o$2169bo11bo3bob2o$2167bo3bo14bo$2165bobobo$2165bob2o$2155b2o7bo$
1650b3o15b3o441bo40b4o7bo4bo$2112bo43bobo5bo$2112bo31bo2bo4b2ob3obo6bo
$2147bo2b3o2b4o8b3o1790b3o$2146bo4bo3bo2bo$2154b2obo$2155b3o$2166b4o$
2160bo4b2o3bo$2160bo3bob4o$2143bo16bo3bob2o$2143bo21bo$2143bo4$1658b3o
15b3o441bo$2120bo1237b2o$2120bo1237bobo$3358bo609b3o$2116b3o4$2151bo$
2149bo3bo$2147bobobo$2147bob2o$2137b2o7bo$2135b4o7bo4bo$2138bobo5bo$
1621b3o502bo2bo4b2ob3obo6bo$1621b3o42b3o15b3o442bo2b3o2b4o8b3o$1622bo
505bo4bo3bo2bo$2136b2obo$2137b3o1836b3o$2148b4o$2142bo4b2o3bo$2142bo3b
ob4o$2142bo3bob2o$2147bo8$1674b3o15b3o2$2067b3o$2067b3o1914b3o$2068bo
12$1682b3o15b3o3$3992b3o5$1536bo2$1536bo$1535b3o5$1690b3o15b3o338b3o$
2049b3o$2050bo$4000b3o4$2184b3o2$2182b2o3b2o$2185bo2$2182b2o3b2o3$
2183b5o$1698b3o15b3o463b7o$2182b7o$2185bo$2185bo1822b3o$2185bo2$1518bo
2$1518bo$1517b3o3$3441b2o$2175bo17bo1247bobo$2175bo17bo1247bo$2175bo
17bo$1706b3o15b3o3$4016b3o10$1516b3o664bo17bo$2183bo17bo$2183bo17bo$
1714b3o15b3o3$4024b3o9$2146bo$1524b3o664bo17bo$2146bo44bo17bo$2145b3o
43bo17bo$1722b3o15b3o3$4032b3o4$1537b3o6$1532b3o664bo17bo$2199bo17bo$
2199bo17bo$1730b3o15b3o3$4040b3o2$1613b3o$1613b3o$1545b3o66bo6$1540b3o
664bo17bo$2207bo17bo$2207bo17bo$1738b3o15b3o3$4048b3o4$1553b3o$2059b3o
$2059b3o$2060bo3$1548b3o664bo17bo$2215bo17bo$1717b3o495bo17bo$1746b3o
15b3o2$1678b3o$4056b3o4$1561b3o1960b2o$3524bobo$3524bo4$1556b3o664bo
17bo$2223bo17bo$1725b3o495bo17bo$1754b3o15b3o2$1686b3o$4064b3o3$2041b
3o$1569b3o469b3o$2042bo5$1564b3o664bo17bo$1780b3o448bo17bo$1733b3o42b
6o447bo17bo$1777b7o$1776bo2bo$1694b3o66b2ob4o6b4obo$1757b2o4b2o2bo3bo
5b2obobo2289b3o$1757b2o2bobo2bo4bo7b2o$1757b2o3b3o3b3o9b2o$1759bo7bo$
1577b3o187b3o$1767bobo$1781bo$1777b4obo258bo$1771b3o2bobob2o259bo$
1776bo264bo$1572b3o184b3o15b2o460bo17bo$1757b6o476bo17bo$1756b7o476bo
17bo$1755bo2bo$1742b2ob4o6b4obo$1702b3o31b2o4b2o2bo3bo5b2obobo$1736b2o
2bobo2bo4bo7b2o2320b3o$1736b2o3b3o3b3o9b2o$1738bo7bo$1746b3o$1585b3o
158bobo$1760bo$1756b4obo$1750b3o2bobob2o288bo$1755bo293bo$1733b3o20b2o
291bo$1580b3o664bo17bo$2247bo17bo$2247bo17bo3$1710b3o$4088b3o$1708bo
353bo$1708bo353bo$1708bo353bo$1593b3o15b3o3$1741b3o313bo$1739b6o312bo$
1738b7o312bo$1588b3o146bo2bo514bo17bo$1724b2ob4o6b4obo512bo17bo$1718b
2o4b2o2bo3bo5b2obobo511bo17bo$1718b2o2bobo2bo4bo7b2o$1718b2o3b3o3b3o9b
2o$1720bo7bo409bo$1728b3o2365b3o$1728bobo339bo67bo$1742bo327bo66b3o$
1738b4obo326bo$1601b3o15b3o110b3o2bobob2o$1737bo$1738b2o$2065bo$2065bo
$2065bo$1596b3o664bo17bo$2263bo17bo$2263bo17bo3$3607b2o$3607bobo494b3o
$2078bo1528bo$2078bo$2078bo$1609b3o15b3o3$2073bo$2073bo$2073bo168bo$
1604b3o635bo28bo17bo$2242bo28bo17bo$2203bo67bo17bo$2203bo$2203bo2$
4112b3o$2086bo$2086bo$2086bo$1617b3o15b3o3$2081bo$2081bo$2081bo168bo$
1612b3o635bo28bo17bo$2250bo28bo17bo$2211bo67bo17bo$2211bo$2211bo2$
4120b3o$2094bo$2094bo$2094bo$1625b3o15b3o3$2089bo$2089bo215bo$2089bo
168bo44bo3bo$1620b3o635bo42bobobo$2258bo42bob2o$2219bo71b2o7bo$2219bo
69b4o7bo4bo$2219bo72bobo5bo$1775b3o502bo2bo4b2ob3obo6bo$1775b3o505bo2b
3o2b4o8b3o1822b3o$1776bo325bo179bo4bo3bo2bo$2102bo187b2obo$2102bo188b
3o$1633b3o15b3o648b4o$2296bo4b2o3bo$2296bo3bob4o$2097bo186bo11bo3bob2o
$2097bo184bo3bo14bo$2097bo182bobobo$1628b3o649bob2o$2270b2o7bo$2227bo
40b4o7bo4bo$2227bo43bobo5bo$1754b3o470bo31bo2bo4b2ob3obo6bo$1754b3o
505bo2b3o2b4o8b3o$1755bo505bo4bo3bo2bo1862b3o$2110bo158b2obo$2110bo
159b3o$2110bo170b4o$1641b3o15b3o613bo4b2o3bo$2275bo3bob4o$2258bo16bo3b
ob2o$2105bo152bo21bo$2105bo152bo$2105bo$1636b3o2$2235bo$2235bo$2235bo
2$2231b3o1910b3o$2118bo17bo$2118bo17bo$2118bo17bo$1649b3o15b3o596bo$
2264bo3bo$2262bobobo$2113bo148bob2o$2113bo138b2o7bo$2113bo136b4o7bo4bo
$1644b3o606bobo5bo1428b2o$1736b3o502bo2bo4b2ob3obo6bo1426bobo$1736b3o
505bo2b3o2b4o8b3o1423bo$1737bo505bo4bo3bo2bo$2251b2obo$2252b3o$2263b4o
1885b3o$2126bo17bo112bo4b2o3bo$2126bo17bo112bo3bob4o$2126bo17bo112bo3b
ob2o$1657b3o15b3o584bo$1751b3o2$2121bo$2121bo$2121bo$1652b3o6$4142b3o
15b3o$2134bo17bo1850b2o$2134bo17bo1850b3o$2134bo17bo1850b2o$1665b3o15b
3o$1759b3o15b3o2$2129bo$2129bo$2129bo$1660b3o6$4150b3o15b3o$2142bo17bo
1700b2o$2142bo17bo1700b3o$2142bo17bo1700b2o$1673b3o15b3o$1767b3o15b3o
2$2137bo$2137bo$2137bo$1668b3o62b3o6$4158b3o15b3o$2150bo17bo1550b2o$
2150bo17bo1550b3o$2150bo17bo1550b2o$1681b3o15b3o$1775b3o15b3o2$2145bo$
2145bo$2145bo$1676b3o62b3o2$2300bo2$2300bo$2299b3o$4166b3o15b3o$2158bo
17bo1400b2o$2158bo17bo1400b3o$2158bo17bo1400b2o$1689b3o15b3o$1783b3o
15b3o2$2153bo$2153bo$2153bo$1684b3o62b3o$2279bo2$2279bo$2278b3o$3449bo
$3449bo724b3o15b3o$2166bo17bo1264bo$2166bo17bo$2166bo17bo$1697b3o15b3o
$1791b3o15b3o1645b2o314b2o$3456b2o315bobo$2161bo1296bo314bo$2161bo$
2161bo$1692b3o62b3o5$3457bo$3457bo724b3o15b3o$2174bo17bo1264bo$2174bo
17bo$2174bo17bo$1705b3o15b3o$1799b3o15b3o2$2169bo$2169bo91bo$2169bo$
1700b3o62b3o493bo$2260b3o4$3465bo$3465bo724b3o15b3o$2182bo17bo1264bo$
2182bo17bo75bo$2182bo17bo75bo$1713b3o15b3o44b3o495bo$1807b3o15b3o2$
2177bo$2177bo$2177bo$1708b3o62b3o2$1706bo$1706bo$1706bo$3473bo$3473bo
724b3o15b3o$1728bo461bo17bo1264bo$1729bo460bo17bo75bo17bo$1728b3o459bo
17bo75bo17bo$1786b3o495bo17bo$1725b3o87b3o15b3o$1726bob2o$1727b3o455bo
$1728bo456bo$2185bo$1781b3o5$3481bo$3481bo724b3o15b3o$2198bo17bo1264bo
$2198bo17bo75bo17bo$2198bo17bo75bo17bo$1794b3o495bo17bo$1841bo$1839b3o
$1821bo20bo350bo64bo$1820bobo17bo2bo349bo64bo$1820bo4b3o10b2o3b3o2bo
344bo64bo$1789b3o29bo2bobobo16b3obo$1822b3o4bo8b2o2bo4bo2bo$1787bo35b
3o3bo8b2obobobo$1787bo39bobo8b2o2b8o$1787bo38b2o11b2o5b2o$1827b2o1660b
o$1832b3o1654bo724b3o15b3o$2206bo17bo1264bo$2206bo17bo75bo17bo$1734b3o
469bo17bo75bo17bo$1734b3o83bo479bo17bo$1735bo82b3o$1800bo20bo$1799bobo
17bo2bo378bo64bo$1799bo4b3o10b2o3b3o2bo373bo64bo$1800bo2bobobo16b3obo
372bo64bo$1801b3o4bo8b2o2bo4bo2bo$1802b3o3bo8b2obobobo$1806bobo8b2o2b
8o$1805b2o11b2o5b2o$1806b2o$1811b3o1683bo$3497bo42b2o314b2o364b3o15b3o
$2214bo17bo1264bo41b2o315bobo$2214bo17bo75bo17bo1214bo314bo$2214bo17bo
75bo17bo$2308bo17bo3$2209bo64bo$2209bo64bo$2209bo64bo6$3505bo$3505bo
724b3o15b3o$2222bo17bo1264bo$2222bo17bo75bo17bo$2222bo17bo75bo17bo$
1763bobo550bo17bo$1763b2o$1764bo$2217bo64bo$2217bo64bo$2217bo64bo5$
1783b2o$1783b3o1727bo$1783b2o1728bo724b3o15b3o$2230bo17bo1264bo$2230bo
17bo75bo17bo$2230bo17bo75bo17bo$2324bo17bo3$2225bo64bo$2225bo64bo$
2225bo64bo6$3521bo$3521bo724b3o15b3o$2238bo17bo46bo1217bo$2238bo17bo
46bo28bo17bo$2238bo17bo46bo28bo17bo$2332bo17bo3$2233bo64bo$2233bo64bo$
2233bo64bo2$2229b3o4$3529bo$2254bo1274bo724b3o15b3o$2252b3o56bo1217bo$
2250b4o57bo28bo17bo$2249b4o58bo28bo17bo$2249bo90bo17bo2$2251b3o$2306bo
$2306bo$2306bo6$3537bo$3537bo724b3o15b3o$2319bo1217bo$2319bo$2319bo44b
2o$2364b3o$2345bo17bo2bo$2344bo5bo12bo2b3o$2314bo29bo4b3o11bo3bob4o$
2314bo30b4obobo14b3obobo$2314bo31bo5b2o10bobob2ob2o$2346bo2bo3b2o6bo3b
o2b2o3bo$2310b3o35b2obo13b3o4bo1250b2o314b2o$2350bo11b3o2b3o2bo1249b2o
315bobo$2350b3o4bo1266bo314bo$2357bo$2357bo1187bo$2259bo1285bo724b3o
15b3o$3545bo$2259bo83b2o$2258b3o82b3o$2324bo17bo2bo$2323bo5bo12bo2b3o$
2323bo4b3o11bo3bob4o$2324b4obobo14b3obobo$2325bo5b2o10bobob2ob2o$2325b
o2bo3b2o6bo3bo2b2o3bo$2327b2obo13b3o4bo$2329bo11b3o2b3o2bo$2329b3o4bo$
2336bo$2336bo$3553bo$3553bo724b3o15b3o$3553bo14$3561bo$3561bo724b3o15b
3o$3561bo$2287bo$2287bobo$2287b2o8$2309bo$2306bob2o$2309bo$3569bo$
3569bo724b3o15b3o$3569bo14$3577bo$3577bo724b3o15b3o$3577bo14$3585bo$
3585bo724b3o15b3o$3585bo5$3706b2o314b2o$3705b2o315bobo$3707bo314bo7$
3593bo$3593bo724b3o15b3o$3593bo14$3601bo$3601bo724b3o15b3o$3601bo14$
3609bo695b3o$3609bo724b3o15b3o$3609bo$4266b3o13$3617bo695b3o$3617bo
724b3o15b3o$3617bo$4274b3o11$4334b3o$4334bo21bo$3625bo695b3o11bo18b2o$
3625bo727b2o3bo9b3o$3625bo726bo$4282b3o72b2o$4353bo4b2o$4355bo$4353bo
4bo$4345b3o3b2o2b2o5b2o$4351b2o2bo6b2o$4343bo7b2obo5bo2b2o$4343b3o6bob
o6bo2bo$4343b2ob2o12bobob2o$4347bo16bo$4313b3o29bo3bo12b2o$4313bo21bo
9bob2o$4314bo18b2o11b2obo$3633bo698b2o3bo7bo3bo$3633bo697bo15bobo$
3633bo155b2o314b2o229b2o9b2o22b3o$3788b2o315bobo182b3o39bo4b2o32b3o$
3790bo314bo228bo37bo$4332bo4bo$4330b2o2b2o5b2o$4330b2o2bo6b2o$4330b2ob
o5bo2b2o$4331bobo6bo2bo$4324b2o13bobob2o$4323b3o17bo$4323bo2bo14b2o$
4322b2ob2o$4323bobo$4324bo$3641bo$3641bo708b3o$3641bo708b3o$4298b3o50b
o2$4296bo$4296bo$4296bo3$4295b3o$4295bo21bo$4296bo18b2o$4314b2o3bo9b3o
$4313bo$4318b2o$3649bo664bo4b2o$3649bo666bo$3649bo664bo4bo$4306b3o3b2o
2b2o5b2o$4312b2o2bo6b2o$4304bo7b2obo5bo2b2o$4304bo8bobo6bo2bo$4304bo
16bobob2o$4325bo$4306b3o14b2o5$4332b3o$4332b3o$3657bo675bo$3657bo$
3657bo14$3665bo$3665bo$3665bo14$3673bo$3673bo$3673bo11$3872b2o314b2o$
3871b2o315bobo$3873bo314bo$3681bo$3681bo$3681bo14$3689bo$3689bo$3689bo
14$3697bo$3697bo$3697bo6$4363b3o$4363b3o$4364bo6$3705bo$3705bo$3705bo
5$4342b3o$4342b3o$4343bo7$3713bo$3713bo$3713bo2$2889b3o2$2961bo$2961b
2obo$2961bo8$3721bo$3721bo$3721bo2$2897b3o1424b3o$4324b3o$3119bo1205bo
$3119b2obo$3119bo835b2o314b2o$3954b2o315bobo$3956bo314bo$4328b2o$4328b
obo$4329bo3$3729bo$3729bo616b2o$3729bo615bobo$4346bo$2905b3o2$3277bo$
3277b2obo$3277bo3$4336b2o$4336bobo$4337bo$4363b3o2$3737bo$3737bo616b2o
$3737bo615bobo$4354bo$2913b3o2$3435bo$3435b2obo$3435bo3$4344b2o$4344bo
bo$4345bo$4371b3o2$3745bo$3745bo616b2o$3745bo615bobo$4362bo$2921b3o2$
3513bo17bo59bo$3513bo17bo59b2obo$3513bo17bo59bo3$4352b2o$4352bobo$
4353bo$4379b3o2$3753bo$3753bo616b2o$3753bo615bobo$4370bo$2929b3o2$
3521bo17bo209bo$3521bo17bo209b2obo$3521bo17bo209bo3$4360b2o$4360bobo$
4361bo$4387b3o2$3761bo$3761bo616b2o$3761bo615bobo$4378bo$2937b3o2$
3529bo17bo359bo$3529bo17bo359b2obo$3529bo17bo359bo3$4368b2o$4368bobo$
4369bo$4395b3o2$3769bo$3769bo616b2o$3769bo615bobo$4038b2o314b2o30bo$
2945b3o1089b2o315bobo$3508bo530bo314bo$3508bo28bo17bo509bo$3508bo28bo
17bo509b2obo$3469bo67bo17bo509bo$3469bo$3469bo$4376b2o$4376bobo$4377bo
$4403b3o2$3777bo$3777bo616b2o$3777bo615bobo$4394bo$2953b3o565b2o$3516b
o3b2o$3516bo5bo22bo17bo659bo$3516bo28bo17bo659b2obo$3477bo67bo17bo659b
o$3477bo$3477bo$4386b2o$4385bobo$4385b2o10b2o$4396bo2bob2o8b3o$4396bo
2b4o$3785bo610bo2b3o$3785bo609bo3bo2bo$3785bo612bob3o$3500b2o890b5o$
2961b3o535b2o891b3o$3501bo22bo868bo$3524bo28bo17bo809bo$3524bo28bo17bo
809b2obo$3485bo67bo17bo809bo$3485bo$3485bo925b2o$4410bo2bo$4410b3o4bo$
4410bo2bobo2bo$4406b4ob2o5bo$4405bob4ob3o2bo$3793bo612b8o2bo$3793bo
618b2ob2o$3793bo620bo2$2969b3o$3532bo16bo18b2o$3532bo15bo16b2o2b2o$
3532bo15b3o15b2obo824bo$3493bo69b2o3bo825bo$3493bo70b4o826bo$3493bo71b
obo$3566b3o5$3801bo$3801bo$3801bo2$2977b3o548bo18b2o$3527bo16b2o2b2o$
3527b3o15b2obo$3542b2o3bo854bo17bo$3501bo41b4o855bo17bo$3501bo42bobo
855bo17bo$3501bo43b3o6$3809bo$3809bo$3514bo17bo276bo$3514bo17bo$2985b
3o526bo17bo2$3574bo$4410bo17bo$3509bo63bo836bo17bo$3509bo61bo3bo834bo
17bo$3509bo60b2obo2$3505b3o2$4121b2o$4120b2o$3817bo304bo$3529b2o286bo$
3526b2o2b2o285bo$3527b2obo$2993b3o528b2o3bo23bo$3525b4o$3526bobo24bo$
3527b3o22b3o863bo17bo$4418bo17bo$4418bo17bo$3560b3o15b3o6$3825bo$3825b
o$3825bo2$3001b3o3$4426bo17bo$4426bo17bo$4426bo17bo$3568b3o15b3o6$
3833bo$3833bo$3535bo297bo2$3009b3o523bo$3534b3o$4405bo$4405bo28bo17bo$
4405bo28bo17bo$4366bo67bo17bo$3576b3o15b3o769bo$4366bo5$3841bo$3841bo$
3841bo2$3017b3o2$4413bo$4413bo28bo17bo$4413bo28bo17bo$4374bo67bo17bo$
3584b3o15b3o769bo$4374bo5$3849bo$3849bo$3849bo2$3025b3o1406bo$4433b2o$
4421bo11bobo18bo$4421bo30b3o13bo$4421bo30b3o13bo$4382bo69bo3b2o10bo$
3592b3o15b3o769bo73b3o$4382bo73b3o$4453bo3b2o$4445bo5bob3o$4445bo6b4o$
4445bo3bo3b3o4bo2bo$3857bo584b2o9b2o5bo2bo$3857bo583bo2b2o4b2o7b3o2bo$
3857bo587b2o13bo2b2o$4413bo29b2ob2o12b2ob2o$3033b3o1376b2o32bo15bo$
4412bobo18bo10bobobo$4431b3o10bobobo$4431b3o12bob2o$4431bo3b2o8b2obo
22bo$4204b2o184bo44b3o8b2o$3600b3o15b3o582b2o185bo44b3o33bo$4205bo184b
o41bo3b2o32b3o$4430bob3o$4431b4o$4428bo3b3o4bo2bo$4432b2o5bo2bo$3865bo
563b2o7b3o2bo$3865bo556bo16bo2b2o$3865bo556bo2bo13b2ob2o$4421bo3bo15bo
$3041b3o1377b2ob2o$4421b2ob2o$4423bo$4450bo2$4398bo51bo$2066bo1541b3o
15b3o769bo50b3o$2066bo2331bo$2066bo$4394b3o3$3873bo521bo$3873bo520b2o$
3873bo520bobo18bo$4413b3o13bo$3049b3o1361b3o13bo$4413bo3b2o10bo$4417b
3o$4417b3o$4414bo3b2o$4406bo5bob3o$2074bo1541b3o15b3o769bo6b4o$2074bo
2331bo3bo3b3o4bo2bo$2074bo2339b2o5bo2bo$4402b3o6b2o7b3o2bo$4421bo2b2o$
4406bo14b2ob2o$3881bo524bo16bo$3881bo524bo$3881bo2$3057b3o1372bo2$
2099b2o2331bo$2099bobo2329b3o$2099bo$3595b3o$2082bo1462bo78b3o15b3o$
2082bo$2082bo1462bo10b3o$3544b3o3$3889bo$3889bo$3889bo2$3065b3o5$3603b
3o$2090bo1541b3o15b3o$2090bo$2090bo1473b3o4$3897bo$3897bo$3897bo2$
3073b3o3$3624b3o$3527bo96bo21bo$3611b3o11bo18b2o$2098bo1428bo115b2o3bo
9b3o$2098bo1427b3o113bo$2098bo1473b3o72b2o$3643bo4b2o$3645bo$3643bo4bo
$3635b3o3b2o2b2o5b2o251bo$3641b2o2bo6b2o251bo$3633bo7b2obo5bo2b2o250bo
$3633b3o6bobo6bo2bo$3081b3o549b2ob2o12bobob2o631b2o$3637bo16bo631b2o$
3603b3o29bo3bo12b2o634bo$3603bo21bo9bob2o$3604bo18b2o11b2obo$3622b2o3b
o7bo3bo$2106bo1514bo15bobo$2106bo1519b2o9b2o22b3o$2106bo1473b3o39bo4b
2o32b3o$3624bo37bo$3622bo4bo$3620b2o2b2o5b2o$3620b2o2bo6b2o280bo$3620b
2obo5bo2b2o279bo$3621bobo6bo2bo279bo$3614b2o13bobob2o$3089b3o521b3o17b
o$3613bo2bo14b2o$3612b2ob2o$3613bobo$3614bo2$2114bo1525b3o$2114bo1525b
3o$2114bo1473b3o50bo2$3586bo$3586bo$3586bo334bo$3921bo$3921bo$3585b3o$
3097b3o485bo21bo$3586bo18b2o$3604b2o3bo9b3o$3603bo$3608b2o$3604bo4b2o$
2122bo1483bo$2122bo1481bo4bo$2122bo1473b3o3b2o2b2o5b2o$3602b2o2bo6b2o$
3594bo7b2obo5bo2b2o847bo$3594bo8bobo6bo2bo$3594bo16bobob2o312bo533bo$
2182b2o1431bo313bo532b3o$2182bobo1411b3o14b2o314bo$2182bo$3105b3o3$
3622b3o$3622b3o$3623bo$2130bo$2130bo$2130bo$4442bo2$4442bo$3937bo503b
3o$3937bo$3937bo2$3113b3o6$2138bo$2138bo$2138bo4$3945bo$3945bo$3945bo
2$3121b3o6$2146bo2277bo$2146bo$2146bo2277bo$4423b3o2$4370b2o$3537bo
415bo415b2o$3953bo417bo$3537bo415bo473b2o$3536b3o888bobo$3129b3o1296bo
4$4445b2o$4444bobo$2154bo2290bo$2154bo$2154bo4$3961bo$3961bo$3961bo
473b2o$4435bobo$3137b3o1296bo26bo$4463bo$4463bo2$4453b2o$3643b3o15b3o
788bobo$2162bo2290bo$2162bo$2162bo2$3519bo2$3519bo449bo$3518b3o448bo$
3969bo473b2o$4443bobo$3145b3o1296bo26bo$4471bo$4471bo2$4461b2o$3651b3o
15b3o788bobo$2170bo2290bo$2170bo$2170bo94b2o$2265bobo$2265bo2$3977bo$
3977bo$3977bo473b2o$4451bobo$3153b3o1296bo26bo$4479bo$4479bo2$4469b2o$
3659b3o15b3o788bobo$2178bo2290bo$2178bo$2178bo4$3985bo$3985bo$3985bo
473b2o$4459bobo$3161b3o1296bo26bo$4487bo$4487bo2$4477b2o$3667b3o15b3o
788bobo$2186bo2290bo$2186bo$2186bo4$3993bo$3993bo$3993bo473b2o$4467bob
o$3169b3o1296bo26bo$4495bo$4495bo2$4485b2o$3675b3o15b3o788bobo$2194bo
2258b2o30bo$2194bo2257b2o$2194bo2259bo$3614b3o547b2o$3614b3o546b3o$
3615bo548b2o$4001bo17bo$4001bo17bo$4001bo17bo455b2o$4475bobo$3177b3o
1296bo26bo$4503bo$4503bo2$4493b2o$3683b3o15b3o788bobo$2202bo2290bo$
2202bo$2202bo$4322b2o$4321b3o$4322b2o$4009bo17bo$4009bo17bo$4009bo17bo
457b2o$4484bobo$3185b3o1296b2o10b2o13bo$4495bo2b2o11bo$4494b4o2bo10bo$
4494b2obobo$4497bo3bo$3691b3o15b3o780bo2bo2b4o$2210bo2283bo5bo$2210bo
2281bobo$2210bo2280b3o$4480b2o$4479b3o$4480b2o$4017bo17bo$4017bo17bo
474b2o$4017bo17bo473bo2bo$4508b2ob3o$3193b3o1310b2o4bo3b2o$4505bo10b2o
$3529bo974bo2bobobobo2bo$2348b2o2155bo5b2o2b2o$2348bobo1178bo976b5o3b
2o$2348bo1179b3o168b3o15b3o792b3o$2218bo$2218bo$2218bo3$4492b3o$4025bo
17bo$4025bo17bo$4025bo17bo2$3201b3o5$3707b3o15b3o$2226bo$2226bo$2226bo
3$4500b3o15b3o$4033bo17bo$4033bo17bo$4033bo17bo2$3209b3o2$3517b3o3$
3715b3o15b3o$2234bo$2234bo$2234bo3$4508b3o15b3o$3530b3o508bo17bo$4041b
o17bo$4041bo17bo2$3217b3o2$3525b3o3$3723b3o15b3o$2242bo$2242bo$2242bo
3$4516b3o15b3o$3538b3o508bo17bo$4049bo17bo$4049bo17bo2$3225b3o2$3533b
3o3$3731b3o15b3o$2250bo$2250bo$2250bo3$4524b3o15b3o$3546b3o508bo17bo$
4057bo17bo$4057bo17bo2$3233b3o2$3541b3o2$3710b3o$3739b3o15b3o$2258bo$
2258bo1412b3o$2258bo3$4532b3o15b3o$3554b3o508bo17bo$4065bo17bo$2431b2o
1632bo17bo$2431bobo1172b3o$2431bo809b3o362b3o$3607bo$3549b3o2$3718b3o$
3747b3o15b3o$2266bo$2266bo1412b3o$2266bo3$4540b3o15b3o$3562b3o508bo17b
o$4073bo17bo$4073bo17bo2$3249b3o2$3557b3o179b3o$3739bo21bo$3726b3o11bo
18b2o$3758b2o3bo9b3o$2274bo1482bo$2274bo1412b3o72b2o$2274bo1483bo4b2o$
3760bo$3758bo4bo$3750b3o3b2o2b2o5b2o779b3o15b3o$3570b3o183b2o2bo6b2o
312bo17bo$3748bo7b2obo5bo2b2o311bo17bo$3748b3o6bobo6bo2bo311bo17bo$
3748b2ob2o12bobob2o$3257b3o492bo16bo$3718b3o29bo3bo12b2o$3565b3o150bo
21bo9bob2o$3719bo18b2o11b2obo$3737b2o3bo7bo3bo$3736bo15bobo$2282bo
1458b2o9b2o22b3o$2282bo1412b3o39bo4b2o32b3o$2282bo1456bo37bo$3737bo4bo
$3735b2o2b2o5b2o$3735b2o2bo6b2o808b3o15b3o$3578b3o154b2obo5bo2b2o340bo
17bo$3736bobo6bo2bo340bo17bo$3729b2o13bobob2o339bo17bo$3728b3o17bo$
3265b3o460bo2bo14b2o$3727b2ob2o$3573b3o152bobo$3729bo2$3755b3o$2290bo
1464b3o$2290bo1412b3o50bo$2290bo$3701bo$3701bo$3701bo366bo495b3o15b3o$
3586b3o15b3o461bo28bo17bo$4068bo28bo17bo$3700b3o326bo67bo17bo$3700bo
21bo306bo$3273b3o425bo18b2o307bo$3719b2o3bo9b3o$3581b3o134bo$3723b2o$
3719bo4b2o$3721bo$2298bo1420bo4bo$2298bo1412b3o3b2o2b2o5b2o$2298bo
1418b2o2bo6b2o$3709bo7b2obo5bo2b2o$3709bo8bobo6bo2bo351bo$3709bo16bobo
b2o344bo4b2o489b3o15b3o$3594b3o15b3o115bo345bo4bobo21bo17bo$3711b3o14b
2o346bo28bo17bo$4037bo67bo17bo$4037bo$3281b3o753bo2$3589b3o145b3o$
3737b3o$3738bo2$2306bo$2306bo$2306bo$2514b2o1545bo$2514bobo1543b2o$
2514bo1545bobo21bo495b3o15b3o$3602b3o15b3o461bo28bo17bo$4084bo28bo17bo
$4045bo67bo17bo$4045bo$3289b3o753bo2$3597b3o4$2314bo$2314bo$2314bo3$
4092bo16bo19bo458b3o15b3o$3610b3o15b3o461bo16bobo15b3o$4092bo16b2o14b
4o$4053bo70b4o$4053bo70bo$3297b3o753bo$4126b3o$3605b3o4$2322bo$2322bo$
2322bo2$4088bo19bo$4088bobo15b3o487b3o15b3o$3618b3o15b3o449b2o14b4o$
4103b4o$4061bo41bo$4061bo$3305b3o753bo43b3o2$3613b3o4$2330bo$2330bo$
2330bo1743bo17bo$4074bo17bo$4074bo17bo$4134bo469b3o15b3o$3626b3o15b3o$
4134bo$4069bo63b3o$4069bo$3313b3o753bo60b3o2$3621b3o441b3o4$2338bo$
2338bo1751bo$2338bo1749b3o$4086b4o23bo$4085b4o$4085bo27bo498b3o15b3o$
3634b3o15b3o457b3o$4087b3o3$3321b3o796b3o15b3o2$3629b3o4$2346bo$2346bo
$2346bo2$4591b3o$4620b3o15b3o$3642b3o15b3o105b3o$3768b3o781b3o$3769bo
2$3329b3o796b3o15b3o2$3637b3o2$2597b2o$2597bobo$2354bo242bo$2354bo
1740bo$2354bo2250b2o$4095bo509bobo$3747bo346b3o502b3o3bo$3745b2ob2o
878b3o15b3o$3650b3o15b3o77b2o$3744bo2b2o811b3o$3745b2o2$3337b3o796b3o
15b3o2$3645b3o4$2362bo$2362bo2221b2o$2362bo2221bobo$4584bo$4607b3o$
4636b3o15b3o$3658b3o15b3o$3752b3o15b3o795b3o3$3345b3o796b3o15b3o2$
3653b3o4$2370bo$2370bo$2370bo1358b3o$3729b3o902bo17b2o$3730bo884b3o14b
2o16bo2bo$4633b2o13bob2obo$3666b3o15b3o961bo3bo$3760b3o15b3o795b3o69b
3o$4651bo$4651bo$3353b3o796b3o15b3o478bo2$3661b3o62b3o4$2378bo$2378bo$
2378bo2234bo17b2o$4611b2o16bo2bo$4612b2o13bob2obo$4627bo3bo$3674b3o15b
3o932b3o$3768b3o15b3o795b3o43bo$4630bo$4630bo$3361b3o796b3o15b3o2$
3669b3o62b3o4$2386bo$2386bo2210b3o15b3o$2386bo3$4657b3o$3682b3o15b3o
954b3o$3776b3o15b3o795b3o60b4o$4655bo$4590bo64bo$3369b3o796b3o15b3o
401bo$4590bo$3677b3o62b3o3$4613b2o$2394bo2216bo2bo$2394bo2214bob2obo$
2394bo2214bo3bo$4609b3o24b3o$4612bo23b3o$4612bo24bo$3690b3o15b3o901bo$
3784b3o15b3o840bo17bo$4645bo17bo$2680b2o1963bo17bo$2680bobo694b3o796b
3o15b3o$2680bo$3685b3o62b3o4$2402bo$2402bo$2402bo4$3698b3o15b3o$3792b
3o15b3o840bo17bo$4653bo17bo$4105bo49b3o495bo17bo$3385b3o796b3o15b3o$
4105bo$3693b3o62b3o343b3o9b3o4$2410bo$2410bo2207b3o$2410bo2207b3o$
4619bo3$3706b3o15b3o44b3o$3800b3o15b3o840bo17bo$4661bo17bo$4163b3o495b
o17bo$3393b3o796b3o15b3o2$3701b3o62b3o355b3o2$3699bo$3699bo$2418bo
1280bo$2418bo$2418bo2$3726bo$3722b6o$3718b2o2b2o4bo50b3o$3718b3o2bobob
o80b3o15b3o258bo97b2o482bo17bo$3717bo3bobo3bo457bobo481bo17bo$3716b2o
5bob3ob4o354bo83b3o11bo18bobo462bo17bo$3401b3o313bo4b6o358b3o114bo2b3o
9b3o$3718b4o10bobo467bobo$3730bobo41b3o16b2o337b3o67bo2b3o$3733bo59bob
o409bo3b3o$3729bo2bo60bo410bobobob2o$3729bobo470bo4bo4b2o$2426bo1298b
2ob4o463b3o4b4o5b3o$2426bo1299b2o475bo7b2o$2426bo1300bo465bo9b2o6b2o$
3824b2o367bo8bo8bo2bo$3824bo368bo8bo10b2o$3823bo3bo367b3o6bo4bo3bo$
3787b3o34bo2bo336b2o32b2o9b2ob2o$3816b3o5b2obo6b3o327bobo27bo482bo17bo
$3825b2o337bo18bobo14bo476bo17bo$4182bo2b3o7b2o480bo17bo$3409b3o769bob
o13b3o21b3o$4181bo2b3o34b3o$3782b3o355b3o41bo3b3o31bo$3819bo363bobobob
2o$3819bo2bo351b2o5bo4bo4b2o$3818bo3bo353bo4b4o5b3o$2434bo1384bo2b2o
358bo7b2o$2434bo1747b2o6b2o$2434bo1368b2o20b3ob2o350bo8bo2bo$3803bo
369bo7bo10b2o$3802bo3bo367b2o7bo4bo3bo$3803bo2bo368bo12b2ob2o$3795b3o
5b2obo20b2ob2o341b3o$3804b2o22b3o343bo510bo17bo$3829bo855bo17bo$4200b
3o482bo17bo$3417b3o780b3o$4201bo$3790b3o5bo349b3o$3798bo2bo$3788bo8bo
3bo344bo$3788bo9bo2b2o343bo$2442bo1345bo357bo$2442bo1361b3ob2o$2442bo
1347b3o$4146b2o$2763b2o1381bobo$2763bobo1040b2ob2o335bo18bobo$2763bo
1043b3o354bo2b3o9b3o$3808bo28b3o323bobo527bo17bo$3837b3o323bo2b3o524bo
17bo$3838bo327bo3b3o520bo17bo$3425b3o737bobobob2o$4163bo4bo4b2o$4156b
3o4b4o5b3o$4164bo7b2o$4154bo9b2o6b2o$4154bo8bo8bo2bo$2450bo1703bo8bo
10b2o$2450bo1714bo4bo3bo$2450bo1705b3o11b2ob2o4$3816b3o363b3o$3816b3o
363b3o516bo17bo$3817bo365bo517bo17bo$4701bo17bo$3433b3o291b3o$3727b3o$
3728bo4$2458bo1354b2o$2458bo1354b3o$2458bo1354b2o4$4680bo$4680bo28bo
17bo$3739bo940bo28bo17bo$3737b2o889b3o10bo67bo17bo$3441b3o294b2o888b3o
10bo$4629bo11bo5$2466bo$2466bo$2466bo4$4688bo$4688bo28bo17bo$4688bo28b
o17bo$4649bo67bo17bo$3449b3o1197bo$4649bo4$4097bo$2474bo$2474bo1622bo$
2474bo1621b3o3$4709b2o$4696bo11b2o$4610b3o83bo13bo18b3o11bo$4610b3o83b
o30b2ob2o11bo$4611bo45bo68bobo3bo10bo$3457b3o1197bo69b4o3bo$4657bo70bo
3b2o$4729b4o$4720bo5bo3b2o2bo$4720bo5bobo7bo$4720bo5bo2bo4bob2o$2482bo
2243b3o5bo2bo$2482bo2233b3o7bo8bo2bo$2482bo2235bobo6bo8b3o$4720b3o10b
2obobo$4688b2o29b4o10b2ob2o$4687b2o34bo$4689bo18b3o8bo$4706b2ob2o9b4o
22bo$4705bobo3bo8b3o$4203b3o15b3o441bo40b4o3bo8bo23bo$3465b3o1197bo41b
o3b2o32b3o$4665bo42b4o$4699bo5bo3b2o2bo$4079bo619bo5bobo7bo$4705bo2bo
4bob2o$2846b2o1231bo625b3o5bo2bo$2490bo355bobo1229b3o624bo8bo2bo$2490b
o355bo1851bo7bo8b3o$2490bo2207b2o12b2obobo$4697bo2bo11b2ob2o$4697bobo$
4697b3o$4725bo2$4725bo$4211b3o15b3o441bo50b3o$3473b3o1197bo$4673bo2$
4669b3o3$2498bo$2498bo2171b2o$2498bo2170b2o$4671bo18b3o11bo$4688b2ob2o
11bo$4687bobo3bo10bo$4688b4o3bo$4689bo3b2o$4690b4o$4219b3o15b3o441bo5b
o3b2o2bo$3481b3o1197bo5bobo7bo$4681bo5bo2bo4bob2o$4687b3o5bo2bo$4677b
3o7bo8bo2bo$4688bo8b3o$4681bo12b2obobo$2506bo2174bo12b2ob2o$2506bo
2174bo$2506bo$4707bo2$4707bo$4706b3o3$4227b3o15b3o$3489b3o6$2514bo$
2514bo$2514bo7$4235b3o15b3o$3497b3o2$4174b3o$4174b3o$4175bo2$2522bo$
2522bo$2522bo7$4243b3o15b3o$3505b3o5$4620b3o$2530bo2089b3o$2530bo2090b
o$2530bo7$4251b3o15b3o$2929b2o582b3o$2929bobo$2929bo4$2538bo$2538bo$
2538bo3$4089bo$4728bo17bo$4089bo638bo17bo$4088b3o637bo17bo$4259b3o15b
3o$3521b3o3$4602b3o$4602b3o$4603bo$2546bo$2546bo$2546bo4$4736bo17bo$
4736bo17bo$4736bo17bo$4267b3o15b3o$3529b3o6$2554bo$2554bo$2554bo4$
4077b3o664bo17bo$4744bo17bo$4744bo17bo$4275b3o15b3o$3537b3o6$2562bo
1527b3o$2562bo$2562bo4$4085b3o664bo17bo$4752bo17bo$4752bo17bo$4283b3o
15b3o$3545b3o6$2570bo1527b3o$2570bo$2570bo4$4093b3o664bo17bo$4760bo17b
o$4760bo17bo$4291b3o15b3o387bo$3553b3o$4699bo$4698b3o4$2578bo1527b3o$
2578bo$2578bo3$3012b2o$3012bobo1086b3o664bo17bo$3012bo1755bo17bo$4270b
3o495bo17bo$4299b3o15b3o$3561b3o$4231b3o5$2586bo1527b3o$2586bo$2586bo
1579b3o$4166b3o$4167bo2$4109b3o664bo17bo$4776bo17bo$4278b3o495bo17bo$
4307b3o15b3o$3569b3o$4239b3o5$2594bo1527b3o$2594bo$2594bo3$4612b3o$
4117b3o180b2o310b3o169bo17bo$4300bobo310bo170bo17bo$4286b3o11bo18bobo
462bo17bo$4318bo2b3o9b3o$3577b3o737bobo$4247b3o67bo2b3o$4320bo3b3o$
4319bobobob2o$4317bo4bo4b2o$4310b3o4b4o5b3o$2602bo1527b3o185bo7b2o$
2602bo1705bo9b2o6b2o$2602bo1705bo8bo8bo2bo$4308bo8bo10b2o$4310b3o6bo4b
o3bo$4279b2o32b2o9b2ob2o$4125b3o151bobo27bo482bo17bo$4279bo18bobo14bo
476bo17bo$4297bo2b3o7b2o480bo17bo$4296bobo13b3o21b3o$3585b3o708bo2b3o
34b3o$4255b3o41bo3b3o31bo$4298bobobob2o$4289b2o5bo4bo4b2o$4291bo4b4o5b
3o$4297bo7b2o$2610bo1527b3o156b2o6b2o$2610bo1685bo8bo2bo$2610bo1677bo
7bo10b2o$4289b2o7bo4bo3bo294bo$4290bo12b2ob2o294bo$4288b3o311bo$4133b
3o153bo510bo17bo$4800bo17bo$4315b3o482bo17bo$4315b3o$3593b3o720bo$
4263b3o2$4261bo353bo$4261bo353bo$4261bo353bo$2618bo1527b3o15b3o$2618bo
$2618bo1642b2o$4261bobo346bo$4261bo18bobo327bo$4279bo2b3o9b3o313bo$
4141b3o134bobo527bo17bo$4278bo2b3o524bo17bo$4281bo3b3o520bo17bo$4280bo
bobob2o$3601b3o674bo4bo4b2o$4271b3o4b4o5b3o$4279bo7b2o$4269bo9b2o6b2o
334bo$4269bo8bo8bo2bo332bo$4269bo8bo10b2o332bo$2626bo468b2o1057b3o15b
3o105bo4bo3bo$2626bo468bobo1173b3o11b2ob2o$2626bo468bo$4618bo$4618bo$
4297b3o318bo$4149b3o145b3o516bo17bo$4298bo517bo17bo$4816bo17bo2$3609b
3o3$4631bo$4631bo$4631bo$2634bo1527b3o15b3o$2634bo$2634bo$4626bo$4626b
o$4626bo168bo$4157b3o635bo28bo17bo$4795bo28bo17bo$4756bo67bo17bo$4756b
o$3617b3o1136bo3$4639bo$4639bo$4639bo51bo$2642bo1527b3o15b3o$2642bo
2048bo$2642bo2047b3o$4634bo$4634bo$4634bo168bo$4165b3o635bo28bo17bo$
4803bo28bo17bo$4764bo67bo17bo$4764bo$3625b3o1136bo3$4647bo$4647bo$
4647bo$2650bo1527b3o15b3o$2650bo$2650bo$4642bo$4642bo181b2o$4642bo168b
o11b2o$4173b3o635bo13bo18b3o11bo$4811bo30b2ob2o11bo$4772bo68bobo3bo10b
o$4772bo69b4o3bo$3633b3o1136bo70bo3b2o$4844b4o$4835bo5bo3b2o2bo$4655bo
179bo5bobo7bo$4655bo179bo5bo2bo4bob2o$4655bo185b3o5bo2bo$2658bo1527b3o
15b3o624b3o7bo8bo2bo$2658bo2174bobo6bo8b3o$2658bo2176b3o10b2obobo$
4650bo152b2o29b4o10b2ob2o$4650bo151b2o34bo$4650bo153bo18b3o8bo$4181b3o
637b2ob2o9b4o22bo$4820bobo3bo8b3o$4780bo40b4o3bo8bo23bo$4780bo41bo3b2o
32b3o$3641b3o1136bo42b4o$4814bo5bo3b2o2bo$4814bo5bobo7bo$4663bo156bo2b
o4bob2o$4663bo156b3o5bo2bo$4663bo156bo8bo2bo$2666bo1527b3o15b3o598bo7b
o8b3o$2666bo2146b2o12b2obobo$2666bo2145bo2bo11b2ob2o$4658bo153bobo$
4658bo153b3o$4658bo181bo$4189b3o$4840bo$4788bo50b3o$4788bo$3649b3o
1136bo$3178b2o$3178bobo1603b3o$3178bo1492bo17bo$4671bo17bo$4328b3o340b
o17bo$2674bo1527b3o15b3o105b3o454b2o$2674bo1654bo454b2o$2674bo2111bo
18b3o11bo$4666bo136b2ob2o11bo$4666bo135bobo3bo10bo$4666bo136b4o3bo$
4197b3o604bo3b2o$4805b4o$4796bo5bo3b2o2bo$4796bo5bobo7bo$3657b3o1136bo
5bo2bo4bob2o$4802b3o5bo2bo$4792b3o7bo8bo2bo$4679bo17bo105bo8b3o$4307b
3o369bo17bo98bo12b2obobo$4307b3o369bo17bo98bo12b2ob2o$2682bo1527b3o15b
3o75bobo487bo$2682bo1621b3o$2682bo2139bo$4674bo$4674bo147bo$4674bo146b
3o$4205b3o4$3665b3o3$4687bo17bo$4687bo17bo$4687bo17bo$2690bo1527b3o15b
3o$2690bo1621b3o15b3o$2690bo$4682bo$4682bo$4682bo$4213b3o4$3655b3o15b
3o$3566b2o721b3o$3566b3o720b3o$3566b2o722bo404bo17bo$4695bo17bo$4695bo
17bo$2698bo1527b3o15b3o$2698bo1621b3o15b3o$2698bo$4690bo$4690bo$4690bo
$4221b3o62b3o4$3663b3o15b3o$3424b2o$3424b3o$3424b2o1277bo17bo$4703bo
17bo$4703bo17bo$2706bo1527b3o15b3o$2706bo1621b3o15b3o$2706bo$4698bo$
4698bo$4698bo$4229b3o62b3o4$3671b3o15b3o$3282b2o$3282b3o$3282b2o1427bo
17bo$4711bo17bo$4711bo17bo$2714bo1527b3o15b3o$2714bo1621b3o15b3o$2714b
o$4706bo$4706bo$4706bo$3261b2o974b3o62b3o$3261bobo$3261bo2$3679b3o15b
3o$3140b2o$3140b3o$3140b2o1577bo17bo$4719bo17bo$4719bo17bo$2722bo1527b
3o15b3o$2722bo1621b3o15b3o$2722bo$4714bo$4714bo$4714bo$4245b3o62b3o4$
3687b3o15b3o$2998b2o$2998b3o1852bo$2998b2o1727bo17bo$4727bo17bo107bo$
4727bo17bo106b3o$2730bo1527b3o15b3o$2730bo1621b3o15b3o$2730bo$4722bo$
4722bo$4722bo$4253b3o62b3o3$2970bo$2970bo724b3o15b3o$2970bo1861bo2$
4735bo17bo76bobo$4735bo17bo75b2ob2o$4735bo17bo75b3o$2738bo1527b3o15b3o
44b3o495bo$2738bo1621b3o15b3o$2738bo$4730bo$4730bo$4730bo$4261b3o62b3o
2$4259bo$2978bo1280bo$2978bo724b3o15b3o535bo$2978bo2$4743bo17bo$4284bo
458bo17bo75bo17bo$4280bo5bo456bo17bo75bo17bo$2746bo1532bo2b2o2b2o51b3o
495bo17bo$2746bo1532b4o4b2o79b3o15b3o$2746bo1530bo3bo3b4o$4277b3o3bobo
3b3o446bo$4278bo2b3o5b2obo445bo$4281b3o5b2ob2o444bo$4282b2o6bo2bo40b3o
$4286b2o65b3o$4286b2o3b2o60bo460bo$2986bo1303bo63bo$2986bo724b3o15b3o
553b2ob2o524bo$2986bo1300b3o523b3o2$4751bo17bo$4385bo365bo17bo75bo17bo
$4378b2o2b5o364bo17bo75bo17bo$2754bo1592b3o32b2o3bo457bo17bo$2754bo
1622b3o3b2ob2o6b3o$2754bo1623b2o3b2o$4746bo64bo$4746bo64bo$4746bo64bo$
4342b3o$4380bo$4380b2o$2994bo1384bo2bo$2994bo724b3o15b3o638b5o4b2o$
2994bo1383b4o5b2o$4387bobo$4364bo22b3o369bo17bo$4357b2o2b5o21b4o368bo
17bo75bo17bo$4361b2o3bo21b3o368bo17bo75bo17bo$2762bo1593b3o3b2ob2o21bo
bo462bo17bo$2762bo265b2o314b2o1011b2o3b2o24b3o$2762bo264b2o315bobo$
3029bo314bo1409bo64bo$4754bo64bo$4754bo64bo$4350b3o6bo$4359b2o$4348bo
9bo2bo$3002bo1345bo8b5o4b2o$3002bo724b3o15b3o600bo8b4o5b2o$3002bo1363b
obo$4350b3o13b3o$4366b4o397bo17bo$4367b3o397bo17bo75bo17bo$4367bobo
397bo17bo75bo17bo$2770bo1596b3o27b3o461bo17bo$2770bo1626b3o$2770bo
1627bo$4762bo64bo$4762bo64bo$4762bo64bo4$3010bo$3010bo724b3o15b3o$
3010bo2$4775bo17bo$4775bo17bo75bo17bo$4376b3o396bo17bo75bo17bo$2778bo
1597b3o490bo17bo$2778bo1598bo$2778bo$4287b3o480bo64bo$4287b3o480bo64bo
$4288bo481bo64bo4$3018bo$3018bo724b3o15b3o608b2o$3018bo1353b3o$4372b2o
$4783bo17bo$4783bo17bo75bo17bo$4783bo17bo75bo17bo$2786bo2090bo17bo$
2786bo$2786bo1511bobo$4298b2o478bo64bo$4299bo478bo64bo$4778bo64bo4$
3026bo$3026bo724b3o15b3o$3026bo2$4791bo17bo46bo$4791bo17bo46bo28bo17bo
$4791bo17bo46bo28bo17bo$2794bo2090bo17bo$2794bo$2794bo$4786bo64bo$
4786bo64bo$4786bo64bo2$4782b3o2$3034bo$3034bo724b3o15b3o$3034bo2$4807b
ob3o52bo$4803bo2b2o2bobo51bo28bo17bo$4802b2o3bobobo52bo28bo17bo$2802bo
1998bo3bo2b2o4bo78bo17bo$2802bo1998bob3obob3o3bo$2802bo1998b4obo5bobob
2o$4808bo7b2o41bo$4805bo7b5o41bo18bo$4815b2o42bo17b2o$4815bo61bobo$
4809bo2b4o$4810bo3bo$3042bo1767b2o$3042bo724b3o15b3o1024bo$3042bo$
3111b2o314b2o1478b4o$3110b2o315bobo1442bo36b2o$3112bo314bo1444bo28bo5b
o3bo7bo$4872bo28bo4bo2b3o7bo$2810bo2090bo7bo9bo$2810bo$2810bo$4867bo$
4867bo$4867bo36b2o$4903b3o$4902bo3bo$4903b2obo$3050bo1855bo3bo2bo$
3050bo724b3o15b3o1107b2o5bo2bo$3050bo1835b4o20bo3bo$4888b2o$4880bo5bo
3bo20bo3bo$4880bo4bo2b3o20bo3bo$4880bo7bo23bobo$2818bo2094bo$2818bo$
2818bo$4875bo$4875bo7b2o$4875bo6b3o$4881bo3bo$4871b3o8b2obo$4885bo3bo
2bo$3058bo1816bo6b2o5bo2bo$3058bo724b3o15b3o1071bo13bo3bo$3058bo1816bo
$4890bo3bo$4890bo3bo27bo$4891bobo$4892bo29bo$2826bo2094b3o$2826bo$
2826bo7$3066bo$3066bo724b3o15b3o$3066bo$4901bo2$4901bo$4900b3o$2834bo
1977bo$2834bo$2834bo1977bo$4811b3o5$4898bo$3074bo1820bob2o$3074bo724b
3o15b3o1078bo$3074bo5$2842bo1979bo$2842bo1979bobo$2842bo1979b2o7$3082b
o$3082bo724b3o15b3o$3082bo5$2850bo$2850bo$2850bo5$3194b2o314b2o$3193b
2o315bobo$3090bo104bo314bo$3090bo724b3o15b3o$3090bo5$2858bo$2858bo$
2858bo7$3098bo$3098bo724b3o15b3o$3098bo5$2866bo$2866bo$2866bo7$3106bo$
3106bo724b3o15b3o$3106bo5$2874bo$2874bo$2874bo7$3114bo$3114bo724b3o15b
3o$3114bo5$2882bo$2882bo$2882bo7$3122bo695b3o$3122bo724b3o15b3o$3122bo
$3779b3o2$3822b3o$3822bo$2890bo932bo$2890bo$2890bo7$3130bo695b3o$3130b
o724b3o15b3o$3130bo$3787b3o$3801b3o$3801bo$3802bo$2898bo$2898bo$2898bo
378b2o314b2o$3276b2o315bobo$3278bo314bo5$3138bo695b3o$3138bo724b3o15b
3o$3138bo$3795b3o4$2906bo$2906bo$2906bo4$3879b2o$3878bo2bo$3877bob2o$
3146bo695b3o32bobo$3146bo728bo3bo4b2o$3146bo728bo3bo5b2obo$3803b3o69b
2ob2o2bo4b2o$3878bo3b2obobo$3882b3obo2$2914bo$2914bo$2914bo935bobo$
3850b2o$3851bo$3858b2o$3857bo2bo$3856bob2o$3856bobo$3154bo699bo3bo4b2o
$3154bo699bo3bo5b2obo$3154bo699b2ob2o2bo4b2o$3811b3o43bo3b2obobo$3861b
3obo3$2922bo$2922bo906bobo$2922bo906b2o$3830bo3$3824b3o15b3o3$3162bo$
3162bo$3162bo$3819b3o2$3817bo$3817bo$2930bo886bo$2930bo$2930bo909b2o$
3839bo2bo$3838bob2o$3838bobo$3836bo3bo4b2o$3836bo3bo5b2obo$3836b2ob2o
2bo4b2o$3170bo668bo3b2obobo$3170bo672b3obo$3170bo2$3884b3o$3884b3o$
3885bo$2938bo$2938bo$2938bo7$3178bo$3178bo$3178bo$3863b3o$3360b2o314b
2o185b3o$3359b2o315bobo185bo$3361bo314bo$2946bo$2946bo$2946bo7$3186bo$
3186bo$3186bo5$2954bo$2954bo$2954bo7$3194bo650b3o$3194bo650b3o$3194bo
651bo5$2962bo$2962bo$2962bo7$3202bo$3202bo$3202bo5$2970bo$2970bo$2970b
o7$3210bo$3210bo$3210bo5$2978bo$2978bo$2978bo7$3218bo$3218bo$3218bo5$
2986bo$2986bo$2986bo6$3443b2o314b2o$3226bo215b2o315bobo$3226bo217bo
314bo$3226bo5$2994bo$2994bo$2994bo7$3234bo$3234bo$3234bo5$3002bo$3002b
o$3002bo$3876b3o$3876b3o$3877bo4$3242bo$3242bo$3242bo5$3010bo$3010bo$
3010bo2$3849b2o$3849bobo$3850bo$3876b3o2$3250bo$3250bo616b2o$3250bo
615bobo$3867bo4$3018bo$3018bo$3018bo2$3857b2o$3857bobo$3858bo$3884b3o
2$3258bo$3258bo616b2o$3258bo615bobo$3875bo3$3054bo$3026bo17bo9b2obo$
3026bo17bo9bo$3026bo17bo2$3865b2o$3865bobo$3866bo$3892b3o2$3266bo$
3266bo616b2o$3266bo615bobo$3883bo3$3212bo$3034bo17bo159b2obo$3034bo17b
o159bo$3034bo17bo$3526b2o314b2o$3525b2o315bobo28b2o$3527bo314bo30bobo$
3874bo$3900b3o2$3274bo$3274bo616b2o$3274bo615bobo$3891bo3$3370bo$3042b
o17bo309b2obo$3042bo17bo309bo$3042bo17bo2$3881b2o$3881bobo$3882bo$
3908b3o2$3282bo$3282bo616b2o$3282bo615bobo$3899bo3$3528bo$3050bo17bo
459b2obo$3050bo17bo459bo$2982bo67bo17bo$2982bo$2982bo5b2o899b2o$2987b
2o900bobo$2989bo900bo$3916b3o2$3290bo$3290bo616b2o$3290bo615bobo$3907b
o3$3029bo656bo$3029bo28bo17bo609b2obo$3029bo28bo17bo609bo$2990bo67bo
17bo$2990bo$2990bo2$3895b3o3b3o$3895bo8bo2b2o15b3o$3902bo4b2o$3298bo
597b3o2bo2bo$3298bo604b3obo7b2o$3298bo606b2obo5bobo$3905b2ob2o5bo$
3905bo$3905b2o$3037bo806bo$3037bo28bo17bo759b2obo$3037bo28bo17bo759bo$
2998bo67bo17bo$2998bo$2998bo920b2o5b2o$3918b2obo2bo$3920b2o2bo$3921bob
2ob2o2b2o$3917bo2bo5b2o2b2o$3306bo610bo11b2obobo$3306bo609bob3obo2bobo
2b4o$3306bo609bobo2b2o2bo4b4o$3917b2obobo2b2o4b2o$3919b2obob2o5b2o$
3083bo836bo2b3o2bo2b2o$3045bo35bo842b2o4b3o$3045bo35bobobo821bo17bob2o
2b2obo$3045bo34bo3b2obo819bo18bo6bo$3006bo74bo3b4o818bo18bo2bo$3006bo
73bo4bo2b2o2bo835bo$3006bo71b2ob2o3b2obob3o$3078bobo2b3o5bobo$3077bo2b
o3bo6bobo$3077b2o5bobo4b3o$3077b4o3bo2bob2o$3079bo2b2obo3bo224bo$3082b
obobo2bo224bo$3080b2o232bo$3086b2o$3062bo$3060bo548b2o$3060bobobo543b
2o$3059bo3b2obo543bo304bo17bo$3060bo3b4o847bo17bo$3014bo44bo4bo2b2o2bo
843bo17bo$3014bo42b2ob2o3b2obob3o$3014bo42bobo2b3o5bobo$3056bo2bo3bo6b
obo$3056b2o5bobo4b3o$3056b4o3bo2bob2o$3037bo20bo2b2obo3bo$3036bo24bobo
bo2bo253bo$3036b3o20b2o261bo$3065b2o255bo$3045bo$3045bo$3026b3o16bo2$
3923bo17bo$3923bo17bo$3022bo900bo17bo$3022bo$3022bo2$3018b3o3$3330bo$
3044bo285bo$3042bo287bo$3042bobobo$3041bo3b2obo$3042bo3b4o$3041bo4bo2b
2o2bo$3039b2ob2o3b2obob3o876bo17bo$3039bobo2b3o5bobo876bo17bo$3038bo2b
o3bo6bobo876bo17bo$3038b2o5bobo4b3o$3038b4o3bo2bob2o21b3o15b3o$3040bo
2b2obo3bo$3043bobobo2bo$3041b2o$3047b2o$3338bo$3338bo$3338bo5$3939bo
17bo$3939bo17bo$3939bo17bo2$3081b3o15b3o5$3346bo$3346bo$3346bo4$3918bo
$3918bo28bo17bo$3918bo28bo17bo$3879bo67bo17bo$3879bo$3089b3o15b3o769bo
42bo$3921b2o$3921bobo3$3354bo$3354bo$3354bo4$3926bo$3066bo859bo28bo17b
o$3926bo28bo17bo$3066bo820bo67bo17bo$3065b3o819bo13bo$3097b3o15b3o769b
o12b2o$3900bobo4$3362bo329b2o$3362bo328b2o$3362bo330bo4$3934bo$3934bo
28bo17bo$3934bo28bo17bo$3895bo67bo17bo$3895bo$3105b3o15b3o769bo5$3370b
o$3370bo$3370bo2$3978b2o$3048bo928bo2bo$3942bo33bob2o$3048bo893bo32bo
2b2o$3047b3o892bo32bo2b2o3b3o$3903bo69b3ob3o3b3obo$3903bo70b5o2b4o2bo$
3113b3o15b3o769bo72b3obo3bob2o$3983b3o$3982bo3$3378bo570bo$3378bo570bo
bo$3378bo570b2o$3957b2o$3956bo2bo$3955bob2o$3954bo2b2o$3954bo2b2o3b3o$
3952b3ob3o3b3obo$3911bo41b5o2b4o2bo$3911bo43b3obo3bob2o$3121b3o15b3o
769bo50b3o$3961bo3$3928bo$3386bo541bobo$3386bo541b2o$3386bo$3924bo17bo
$3924bo17bo$3924bo17bo4$3919bo$3919bo$3129b3o15b3o769bo2$3915b3o3$
3394bo544b2o$3394bo543bo2bo$3394bo542bob2o$3936bo2b2o$3936bo2b2o3b3o$
3934b3ob3o3b3obo$3935b5o2b4o2bo$3937b3obo3bob2o$3944b3o$3943bo$3108b3o
873bo$3137b3o15b3o$3984bo$3069b3o911b3o2$3112b3o$3112bo289bo$3113bo
288bo$3402bo7$3963bo$3116b3o$3145b3o15b3o609b2o186bo$3774b2o186b3o$
3077b3o696bo$3091b3o$3091bo$3092bo317bo$3410bo$3410bo8$3124b3o$3153b3o
15b3o2$3085b3o3$3418bo$3418bo$3418bo4$3945bo$3169b2o$3168bo2bo773bo$
3167bob2o773b3o$3132b3o32bobo$3165bo3bo4b2o$3165bo3bo5b2obo$3058bo34b
3o69b2ob2o2bo4b2o$3168bo3b2obobo$3058bo113b3obo$3057b3o366bo$3426bo$
3426bo$3140bobo$3140b2o$3141bo$3148b2o$3147bo2bo$3146bob2o$3146bobo$
3144bo3bo4b2o$3144bo3bo5b2obo$3144b2ob2o2bo4b2o$3101b3o43bo3b2obobo$
3151b3obo2$3434bo$3434bo$3119bobo312bo$3119b2o$3120bo3$3114b3o15b3o4$
3040bo2$3040bo68b3o$3039b3o$3107bo$3107bo334bo$3107bo334bo$3442bo$
3130b2o$3129bo2bo$3128bob2o$3128bobo$3126bo3bo4b2o$3126bo3bo5b2obo$
3126b2ob2o2bo4b2o$3129bo3b2obobo$3133b3obo3$3174b3o$3174b3o$3175bo274b
o$3450bo$3450bo4$3858b2o$3857b2o$3859bo5$3153b3o$3153b3o$3154bo$3458bo
$3458bo$3458bo14$3466bo509bo$3466bo$3466bo509bo$3975b3o7$3135b3o$3135b
3o$3136bo4$3474bo$3474bo$3474bo473b2o$3948bobo$3949bo26bo$3976bo$3976b
o2$3966b2o$3965bobo$3156b3o15b3o789bo6$3482bo$3482bo$3482bo473b2o$
3956bobo$3957bo26bo$3984bo$3984bo2$3974b2o$3973bobo$3164b3o15b3o789bo
6$3490bo$3490bo$3490bo473b2o$3050bo913bobo$3965bo26bo$3050bo941bo$
3049b3o940bo2$3982b2o$3981bobo$3172b3o15b3o789bo6$3498bo$3498bo442b2o$
3498bo441b2o30b2o$3942bo29bobo$3973bo26bo$4000bo$4000bo2$3990b2o$3989b
obo$3180b3o15b3o789bo6$3506bo$3032bo473bo$3506bo473b2o$3032bo947bobo$
3031b3o947bo26bo$4008bo$4008bo2$3998b2o$3997bobo$3188b3o15b3o789bo3$
3627b2o$3626b3o$3627b2o$3514bo17bo$3514bo17bo$3514bo17bo455b2o$3988bob
o$3989bo26bo$4016bo$4016bo2$4006b2o$4005bobo$3196b3o15b3o789bo3$3785b
2o$3784b3o$3785b2o$3522bo17bo$3522bo17bo$3522bo17bo$3995bo5bo$3994b2o
5b2o21bo$3994b2o4bo23bo$3995b2o5bo21bo$3996bo4bob5o$3996bo5bo3bo7b2o$
4007b2o4bobo$3204b3o15b3o778bo3b2o5bo$4003bob2o$4004b2o$3943b2o$3942b
3o$3943b2o$3530bo17bo$3530bo17bo$3530bo17bo468b3o$4017bo2bo3bo$4018bob
ob2o$4020b4o$4024bo2b2o2bo$4015b2o2b2o5b3o$4015bob3obo3bo2bo2bobo$
4015bo5b4o$3212b3o15b3o783b2obobobobo3b4o$4017bobobo3bo3bo2bo$4018b3o
2bobo3b2obo$4022bo3b5o$4023b2obo2bo$4005b3o16b2obo3b2o$3127b3o408bo17b
o469bo$3127b3o408bo17bo$3128bo409bo17bo8$3220b3o15b3o5$4013b3o15b3o$
3546bo17bo$3546bo17bo$3546bo17bo5$3030b3o3$3228b3o15b3o5$4021b3o15b3o$
3554bo17bo$3554bo17bo$3554bo17bo5$3038b3o3$3236b3o15b3o5$4029b3o15b3o$
3562bo17bo$3051b3o508bo17bo$3562bo17bo5$3046b3o3$3244b3o15b3o5$4037b3o
15b3o$3570bo17bo$3059b3o508bo17bo$3570bo17bo5$3054b3o2$3223b3o$3252b3o
15b3o2$3184b3o2$3227b3o$3227bo817b3o15b3o$3228bo349bo17bo$3067b3o508bo
17bo$3578bo17bo5$3062b3o2$3231b3o$3260b3o15b3o2$3192b3o$3206b3o$3206bo
$3207bo845b3o15b3o$3586bo17bo$3075b3o508bo17bo$3586bo17bo5$3070b3o2$
3239b3o$3268b3o15b3o2$3200b3o3$4061b3o15b3o$3594bo17bo$3083b3o508bo17b
o$3594bo17bo4$3284b2o$3078b3o202bo2bo$3282bob2o$3247b3o32bobo$3280bo3b
o4b2o$3280bo3bo5b2obo$3208b3o69b2ob2o2bo4b2o$3283bo3b2obobo$3287b3obo$
4069b3o15b3o$3602bo17bo$3091b3o508bo17bo$3255bobo344bo17bo$3255b2o$
3256bo$3263b2o$3119b3o140bo2bo$3086b3o30b3o139bob2o$3120bo140bobo$
3259bo3bo4b2o$3259bo3bo5b2obo$3259b2ob2o2bo4b2o$3216b3o43bo3b2obobo$
3266b3obo2$4077b3o15b3o$3610bo17bo$3099b3o15b3o114bobo373bo17bo$3234b
2o306bo67bo17bo$3235bo306bo$3542bo6bo$3548b2o$3229b3o15b3o298bobo$
3094b3o5$3224b3o2$3222bo$3222bo366bo495b3o15b3o$3222bo366bo28bo17bo$
3107b3o15b3o461bo28bo17bo$3245b2o303bo67bo17bo$3244bo2bo302bo$3243bob
2o303bo$3243bobo$3241bo3bo4b2o$3102b3o136bo3bo5b2obo$3241b2ob2o2bo4b2o
$3244bo3b2obobo$3248b3obo3$3289b3o$3289b3o$3290bo306bo495b3o15b3o$
3597bo28bo17bo$3115b3o15b3o461bo28bo17bo$3558bo67bo17bo$3558bo$3558bo
3$3110b3o5$3268b3o$3268b3o$3269bo$3605bo37bo457b3o15b3o$3605bo35b2ob2o
$3123b3o15b3o461bo35bo$3566bo74b3o3bo$3566bo78b4o$3566bo72b3o4bo3bobo$
3639bob2o4bo4b3o$3638bo3bo5b2o2bo$3118b3o517b3o3b3obo3bo$3638bob2obo3b
2o4bo$3639b2o8bo$3640b2o2b5o$3642bo4bo3$3622bo$3620b2ob2o484b3o15b3o$
3620bo$3131b3o15b3o468b3o3bo$3574bo49b4o$3574bo43b3o4bo3bobo$3574bo43b
ob2o4bo4b3o$3617bo3bo5b2o2bo$3617b3o3b3obo3bo$3126b3o488bob2obo3b2o4bo
$3597bo20b2o8bo$3250b3o344bobo19b2o2b5o$3250b3o344b2o22bo4bo$3251bo$
3605bo$3605bo$3586b3o16bo$4117b3o15b3o2$3139b3o15b3o$3582bo$3582bo$
3582bo2$3578b3o$3134b3o4$3604bo$3602b2ob2o$3602bo$3602b3o3bo$3606b4o
515b3o15b3o$3600b3o4bo3bobo$3147b3o15b3o432bob2o4bo4b3o$3599bo3bo5b2o
2bo$3599b3o3b3obo3bo$3599bob2obo3b2o4bo18b3o15b3o$3600b2o8bo$3601b2o2b
5o$3142b3o458bo4bo8$4133b3o15b3o2$3155b3o15b3o889b3o$4072b2o$4072bobo$
3641b3o15b3o410bo3$3150b3o7$4112b3o$4141b3o15b3o2$3163b3o15b3o889b3o3$
3649b3o15b3o3$3158b3o7$4120b3o$3626bo522b3o15b3o2$3171b3o15b3o434bo
454b3o$3265b3o357b3o2$3657b3o15b3o3$3166b3o6$4166b3o$4128b3o34b4o$
4164bo3bo$4165b2o3b3o$3179b3o15b3o889b3o77bo2bo$3273b3o15b3o869bob2o2b
o2bo2b3o$4162b3obo4b3o2bo$3665b3o15b3o476bo3b2ob2ob2ob2o$4161b2obob5o
2bo2b2o$4162bo2bo2b6o$3174b3o988b2ob2o3bo$4163b3o3b4o$4165bo3b4o3$
4145b3o$3608bo535b4o$4143bo3bo$3608bo535b2o3b3o$3607b3o538bo2bo$3187b
3o15b3o889b3o42bob2o2bo2bo2b3o$3281b3o15b3o839b3obo4b3o2bo$4141bo3b2ob
2ob2ob2o$3673b3o15b3o446b2obob5o2bo2b2o$4141bo2bo2b6o$4122bo21b2ob2o3b
o$3182b3o62b3o870b2o20b3o3b4o$4121b2o21bo3b4o3$4111bo16b3o$4111bo$
4111bo4$3195b3o15b3o889b3o$3289b3o15b3o$4103bo$3681b3o15b3o401bo$4103b
o2$3190b3o62b3o2$4127b3o$4126b4o$4125bo3bo$4126b2o3b3o$4130bo2bo$4124b
ob2o2bo2bo2b3o$4123b3obo4b3o2bo$4123bo3b2ob2ob2ob2o$3203b3o15b3o898b2o
bob5o2bo2b2o19bo17bo$3297b3o15b3o805bo2bo2b6o23bo17bo$4126b2ob2o3bo23b
o17bo$3689b3o15b3o414b3o3b4o$4126bo3b4o2$3198b3o62b3o10$3211b3o15b3o
934bo17bo$3305b3o15b3o840bo17bo$3668b3o495bo17bo$3697b3o15b3o2$3629b3o
$3206b3o62b3o$3673b2o$3673bobo$3673bo7$3219b3o15b3o934bo17bo$3313b3o
15b3o840bo17bo$3676b3o495bo17bo$3705b3o15b3o2$3637b3o$3214b3o62b3o370b
2o$3652bobo$3212bo439bo$3212bo$3212bo4$4149b3o$4149b3o$3242bo49b3o855b
o31bo17bo$3228bo5bo6b4o76b3o15b3o840bo17bo$3233b2o6b5o438b3o495bo17bo$
3227bo2bobo2bo5bo2bobo466b3o15b3o$3227b2obob3o6b3o2bo$3227bo2bob3o6bob
o2bo398b3o$3229b2o10bobobo41b3o$3227bobo2bo8bo3bo$3227bobobo9b2ob5o$
3228b4o10bo3b4o$3243b4o2bo$3236b3o4b6o$3244b4o$3245bo3$3300b3o425b4o
458bo17bo$3329b3o15b3o377bob2o2bo456bo17bo$3692b3o33b2ob2o457bo17bo$
3728bo2b3obo$3618bo105b3o2bob3o4bo$3653b3o70bobob2ob3o2bo$3295b3o320bo
107bobob5o3bo$3617b3o108bob4o2bo$3736bo2$3702bo$3700b2o$3701b2o428b3o$
4131b3o$3344b2o786bo$3344b2o361b4o$3308b3o33bo2bo358bob2o2bo485bo17bo$
3344b6o357b2ob2o486bo17bo$3342b2o6bo356bo2b3obo483bo17bo$3341bo4b3ob2o
351b3o2bob3o4bo$3341bo7bob3o351bobob2ob3o2bo$3341bo3b3o4b3o306b3o41bob
ob5o3bo$3303b3o40b3o3bob2o351bob4o2bo$3346b3o5bo360bo$3301bo44b2obo4bo
$3301bo47bo2bobo326bo$3301bo46b2obobo325b2o$3350b3o327b2o2$3323b2o$
3323b2o$3323bo2bo347b3o15b3o$3310bo12b6o877bo17bo$3308b2o11b2o6bo876bo
17bo$3309b2o9bo4b3ob2o269bo605bo17bo$3320bo7bob3o$3320bo3b3o4b3o266bo$
3325b3o3bob2o264b3o67b3o$3325b3o5bo$3325b2obo4bo333bo$3328bo2bobo333bo
$3327b2obobo334bo$3329b3o2$3689b4o$3688bob2o2bo$3689b2ob2o$3689bo2b3ob
o$3685b3o2bob3o4bo514bo17bo$3687bobob2ob3o2bo514bo17bo$3687bobob5o3bo
514bo17bo$3689bob4o2bo$3697bo$3734b3o$3734b3o$3735bo8$4193bo$4193bo28b
o17bo$4193bo28bo17bo$4154bo67bo17bo$4154bo$3713b3o438bo$3713b3o481b2o$
3714bo481b2o$4198bo2$3236bo$3237bo$3232b2ob2obo$3232b2obo2bo$3236b2o2$
4201bo$4201bo28bo17bo$4201bo28bo17bo$4162bo67bo17bo$4162bo$4162bo13b2o
$4175b2o$4177bo9$4209bo$4209bo28bo17bo$3695b3o511bo28bo17bo$3695b3o
472bo67bo17bo$3696bo473bo$4170bo9$4253b2o$4252bo2bo$4217bo33bob2o$
4217bo33bo6bo$4217bo31bob2o5bo$3716b3o15b3o441bo70b2ob2o5bo$4178bo71bo
bo2bobobob3o$4141b3o34bo73bo4bo3bo$4141b3o107bo6b2obo$4142bo112b2o2$
4225bo$4224bo$4224b3o2$4232b2o$4231bo2bo$4230bob2o$4230bo6bo$4228bob2o
5bo$4228b2ob2o5bo$3724b3o15b3o441bo42bobo2bobobob3o$4186bo44bo4bo3bo$
4186bo43bo6b2obo$4234b2o2$4204bo$4203bo$4203b3o$3610bo2$3610bo588bo17b
o$3609b3o587bo17bo$4199bo17bo4$3732b3o15b3o370b3o68bo$4123b3o68bo$
4124bo69bo2$4190b3o3$4214b2o$4213bo2bo$4212bob2o$4212bo6bo$4210bob2o5b
o$4210b2ob2o5bo$4211bobo2bobobob3o$4213bo4bo3bo$4212bo6b2obo$3740b3o
15b3o455b2o41bo2$4259bo$4258b3o3$3592bo2$3592bo$3591b3o6$4238bo$3748b
3o15b3o$4238bo$4237b3o14$3756b3o15b3o12$4220bo2$4220bo$4219b3o$3764b3o
15b3o13$4241bo17bo$4241bo17bo$4241bo17bo$3772b3o15b3o5$3687b3o$3687b3o
$3688bo6$4249bo17bo$4249bo17bo$4249bo17bo$3780b3o15b3o8$4133b3o$4133b
3o$4134bo3$3590b3o664bo17bo$4257bo17bo$4257bo17bo$3788b3o15b3o13$3598b
3o664bo17bo$4265bo17bo$4265bo17bo$3796b3o15b3o6$4115b3o$3611b3o501b3o$
4116bo5$3606b3o664bo17bo$4273bo17bo$4273bo17bo$3804b3o15b3o7$3619b3o6$
3614b3o664bo17bo$4281bo17bo$3783b3o495bo17bo$3812b3o15b3o2$3744b3o2$
3788b2o$3788bobo$3788bo$3627b3o6$3622b3o664bo17bo$4289bo17bo$3791b3o
495bo17bo$3820b3o15b3o2$3752b3o$3767b2o$3767bobo$3767bo2$3635b3o6$
3630b3o664bo17bo$4297bo17bo$3799b3o495bo17bo$3828b3o15b3o2$3760b3o449b
o2$4212bo$4211b3o2$3643b3o6$3638b3o202b4o458bo17bo$3842bob2o2bo456bo
17bo$3807b3o33b2ob2o457bo17bo$3843bo2b3obo$3839b3o2bob3o4bo$3768b3o70b
obob2ob3o2bo$3841bobob5o3bo$3843bob4o2bo$3851bo2$3651b3o163bo$3815b2o$
3816b2o$4115bo$3679b3o433bo$3679b3o140b4o289bo$3646b3o31bo140bob2o2bo
485bo17bo$3822b2ob2o486bo17bo$3822bo2b3obo483bo17bo$3818b3o2bob3o4bo$
3820bobob2ob3o2bo$3776b3o41bobob5o3bo$3822bob4o2bo$3830bo2$3796bo$
3659b3o15b3o114b2o$3795b2o2$4123bo$4123bo$3789b3o15b3o313bo$3654b3o
664bo17bo$4321bo17bo$4321bo17bo3$3784b3o2$3782bo353bo$3782bo353bo$
3782bo353bo$3667b3o15b3o2$3804b4o$3803bob2o2bo321bo$3804b2ob2o322bo$
3804bo2b3obo319bo$3662b3o135b3o2bob3o4bo514bo17bo$3802bobob2ob3o2bo
514bo17bo$3802bobob5o3bo514bo17bo$3804bob4o2bo$3812bo$3849b3o$3849b3o$
3850bo293bo$4144bo$4144bo$3675b3o15b3o3$4139bo$4139bo$4139bo168bo$
3670b3o635bo28bo17bo$4308bo28bo17bo$4269bo67bo17bo$4269bo$3828b3o438bo
$3828b3o481b2o$3829bo481b2o$4152bo160bo$4152bo$4152bo$3683b3o15b3o3$
4147bo$4147bo$4147bo168bo$3678b3o635bo28bo17bo$4316bo28bo17bo$4277bo
67bo17bo$4277bo$4277bo13b2o$4290b2o$4292bo$4160bo$4160bo$4160bo$3691b
3o15b3o3$4155bo$4155bo$4155bo168bo$3686b3o635bo28bo17bo$3810b3o511bo
28bo17bo$3810b3o472bo67bo17bo$3811bo473bo$4285bo3$4168bo$4168bo$4168bo
$3699b3o15b3o3$4163bo204b2o$4163bo203bo2bo$4163bo168bo33bob2o$3694b3o
635bo33bo6bo$4332bo31bob2o5bo$4293bo70b2ob2o5bo$4293bo71bobo2bobobob3o
$4293bo73bo4bo3bo$4366bo6b2obo$4370b2o$4176bo$4176bo163bo$4176bo162bo$
3707b3o15b3o611b3o$4204bo$4347b2o$4171bo32bo141bo2bo$4171bo31b3o139bob
2o$4171bo173bo6bo$3702b3o638bob2o5bo$4343b2ob2o5bo$4301bo42bobo2bobobo
b3o$4301bo44bo4bo3bo$4301bo43bo6b2obo$4349b2o2$4184bo17bo116bo$4184bo
17bo115bo$4184bo17bo115b3o$3715b3o15b3o2$4314bo17bo$4179bo134bo17bo$
4179bo134bo17bo$4179bo$3710b3o2$4309bo$4309bo$4309bo2$4305b3o$4192bo
17bo$4192bo17bo$4192bo17bo118b2o$3723b3o15b3o584bo2bo$4327bob2o$4327bo
6bo$4187bo137bob2o5bo$4187bo137b2ob2o5bo$4187bo138bobo2bobobob3o$3718b
3o607bo4bo3bo$4327bo6b2obo$4331b2o41bo2$4374bo$4373b3o2$4200bo17bo$
4200bo17bo$4200bo17bo$3731b3o15b3o$3825b3o2$4195bo$4195bo$4195bo$3726b
3o$4353bo2$4353bo$4352b3o3$4208bo17bo$4208bo17bo$4208bo17bo$3739b3o15b
3o$3833b3o15b3o2$4203bo$4203bo$4203bo$3734b3o7$4216bo17bo$4216bo17bo$
4216bo17bo$3747b3o15b3o$3841b3o15b3o2$4211bo$4211bo123bo$4211bo$3742b
3o62b3o525bo$4334b3o6$4224bo17bo$4224bo17bo$4224bo17bo$3755b3o15b3o$
3849b3o15b3o2$4219bo$4219bo$4219bo$3750b3o62b3o7$4232bo17bo$4232bo17bo
$4232bo17bo$3763b3o15b3o$3857b3o15b3o2$4227bo$4227bo$4227bo$3758b3o62b
3o7$4240bo17bo$4240bo17bo$4240bo17bo$3771b3o15b3o$3865b3o15b3o2$4235bo
$4235bo$4235bo$3766b3o62b3o7$4248bo17bo$4248bo17bo$4248bo17bo$3779b3o
15b3o$3873b3o15b3o2$4243bo$4243bo$4243bo$3774b3o62b3o2$3772bo$3772bo$
3772bo3$4256bo17bo$4256bo17bo75bo$4256bo17bo75bo$3852b3o495bo$3789b2o
8bo2bo78b3o15b3o$3788bo2bo2b2o4bob3o$3787bo5b2obo4b2ob2o445bo$3786bob
2o4bo7bo2bo445bo$3789bo4bo3bo4bo2bo444bo$3789bob2o10bo3bo39b3o$3786b2o
bob2o3bo6b2o$3788b2o13b2o3bo$3791bo10b4o2bo$3791bo12b2ob2o$3796b3o6b3o
$3804b2o$4264bo17bo$4264bo17bo75bo17bo$4264bo17bo75bo17bo$3860b3o495bo
17bo$3889b3o15b3o2$4259bo$4259bo$4259bo$3855b3o7$4272bo17bo$4272bo17bo
75bo17bo$3904b3o365bo17bo75bo17bo$3868b3o33bo3bo457bo17bo$3905b3o$
3908bo$3902b4o2b3o356bo64bo$3902bo2b3o2b3o354bo64bo$3902bo4b2ob2obo
353bo64bo$3863b3o37bo4bo4b2o$3903bo3b2o3bobo$3861bo44b3o4bo$3861bo48bo
bo$3861bo48b2o2bo$3910b3o2$4280bo17bo$3883b3o394bo17bo75bo17bo$3883bo
3bo392bo17bo75bo17bo$3869bobo12b3o487bo17bo$3869b2o16bo$3870bo10b4o2b
3o$3881bo2b3o2b3o383bo64bo$3881bo4b2ob2obo382bo64bo$3882bo4bo4b2o381bo
64bo$3882bo3b2o3bobo$3885b3o4bo$3889bobo$3889b2o2bo$3889b3o3$4288bo17b
o$4288bo17bo75bo17bo$4288bo17bo75bo17bo$4382bo17bo3$4283bo64bo$4283bo
64bo$4283bo64bo8$4296bo17bo$4296bo17bo75bo17bo$4296bo17bo75bo17bo$
4390bo17bo3$4291bo64bo$4291bo64bo$4291bo64bo5$3794b4o$3793b4obo$3792bo
3b2o$3793bo3bo506bo17bo$3794bo509bo17bo75bo17bo$4304bo17bo75bo17bo$
4398bo17bo3$4299bo64bo$4299bo64bo$4299bo64bo2$4295b3o6$4377bo$4377bo
28bo17bo$4313b2o10b3o49bo28bo17bo$4312b3o2b3o4bo3b2o76bo17bo$4311bobo
3bo11bo$4311b3o3b2o6b2o2b2o$4312b2o3bo8b3obo41bo$4313bo3bo8b3o43bo$
4311bobo12bo45bo$4311b3ob2o9b4o$4314bo11bobob4o$4321bo5bo4bo$4321bo6bo
2b2o$4321bo6b3o3$4385bo$4385bo28bo17bo$4385bo28bo17bo$4414bo17bo3$
4380bo$4380bo$4380bo7$4429bo$4393bo34b2o$4393bo34bo$4393bo35b4o$4427bo
4b2o$4426b5obob2o$4425b2ob2o6bo$4388bo37b2o2bobo4b2o$4388bo37b2o3bo3bo
2bo$4388bo41bo2bo2bobo$4430bo2bob3o$4384b3o44bob2ob2o$4433bobobo$4436b
o$4435bo$4408bo$4407b2o$4407bo$4393bo14b4o$4393bobo10bo4b2o$4393b2o10b
5obob2o$4404b2ob2o6bo$4405b2o2bobo4b2o$4405b2o3bo3bo2bo$4409bo2bo2bobo
$4409bo2bob3o$4410bob2ob2o$4412bobobo$4415bo$4414bo30$4319b2o$4317bo3b
o$4317bob2obo$4316bo2bo2bo$4317bo2b2o!

[PK22]

Can someone make a search program for langton's ant? I found 2 new speeds manually so a search program could find even more.

You could try apgsearching the rule, but it is a little slow due to the highways. Here are the steps:

• Get access to a Bash or Bash-like command line. If you are on Linux or MacOS, just use the terminal. If you are on Windows, install Cygwin or WSL (the latter is faster, but the former is easier to install).
• Install apgmera and its dependencies by running

  Code: Select all

  sudo apt install git make python3 g++
  git clone https://gitlab.com/apgoucher/apgmera

  .
• Get the ruletable for Langton's Ant from the wiki, and save it in a text file in the apgmera directory, as (e.g) Langtons-Ant.rule.
• Copy the program below and save it as (e.g) hashsoup-multistate.py in the apgmera directory.

  Code: Select all

  import random
  
  ################################################################################
  # The number of cellstates:
  N_STATES    = 10
  # The rulestring to be used:
  RULESTRING  = "Langtons-Ant"
  # The number of columns:
  RLE_WIDTH   = 16
  # The number of rows:
  RLE_HEIGHT  = 16
  # The number of RLEs to generate (set to 0 to run 'forever'; set to 10 to generate 10 RLEs, etc.)
  N_RLES      = 0
  ################################################################################
  
  def random_cellstate():
      if random.randint(0,1) == 0:
        return 0 #random.randrange(0, N_STATES)
      elif random.randint(1, 16) < 16:
          return 1
      else:
          return random.randrange(0, N_STATES)
  
  S1 = ["", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y"]
  S2 = "ABCDEFGHIJKLMNOPQRSTUVWX"
  
  def cellstate_to_rle(c):
    if c == 0:
      return "."
    return S1[(c - 1) // 24] + S2[(c - 1) % 24]
  
  def random_rle():
    rle = ""
    for y in range(RLE_HEIGHT):
      rle = rle + "".join(cellstate_to_rle(random_cellstate()) for x in range(RLE_WIDTH))
      rle = rle + "{}\n".format("$" if y < RLE_HEIGHT - 1 else "!")
    return "x = {}, y = {}, rule = {}\n{}".format(RLE_WIDTH, RLE_HEIGHT, RULESTRING, rle)
  
  def main():
    print(random_rle())
    i = 1
    while i != N_RLES:
      print(random_rle())
      i += 1
  
  main()
  

• Compile apgmera with the following commands:

  Code: Select all

  #Only run the below command if not in the apgmera directory
  cd apgmera
  ./recompile.sh --rule Langtons-Ant.rule --symmetry multistate_stdin

• Run apgmera with the command:

  Code: Select all

  python3 hashsoup-multistate.py | ./apgluxe -n 100 -k <payosha256_key, use 'anon' if you don't have one>

You can see I've tried these steps - here's the census results so far. They're mostly high-period oscillators, random SL junk, and a bunch of highway combinations.

Bear in mind that apgsearch has poor performance if infinite growth patterns are common, and the highways make it less than 1 soup/sec on my fairly powerful PC.

[UnbihexiumFan]

How do I search for oscillators? Are there tools for finding oscillators of a given period like there are for spaceships (like ikpx2, qfind, LLSSS)? If so, which ones should I use? I'm looking for a p5 and a p7 in the rule B2-an4cew5i6-ae8/S12-ik3j4en5cijn6-ae78.

[b-engine]

How do I search for oscillators?

Lifesrc "series" such as JLS, WLS, LLS and Tutorials/RLifeSrc can been used to find oscillators of periods less than 7 (anything bigger is impractical).
Since you want to search in a non-totalistic rule, you should use RLS because it supports INT.

[UnbihexiumFan]

You should use RLS

Okay, thanks! Should I bother downloading the command-line version or should the browser version be good?

[b-engine]

Okay, thanks! Should I bother downloading the command-line version or should the browser version be good?

I don't think there's a command line version of it. The browser one should meet your needs.
LLS, for a command line oscillator search, is much faster.

[UnbihexiumFan]

I don't think there's a command line version of it

According to the GitHub repo there is. https://github.com/AlephAlpha/rlifesrc/ ... stallation

LLS, for a command line oscillator search, is much faster.

I've tried LLS and it seems to be going slow, but maybe that's an issue with either my patience, my computer, or the existence of p5s and p7s in that rule.

Edit by Sokwe: Extended discussion of how to use LLS for this task has been moved to the LLS thread.

[b-engine]

I've tried LLS and it seems to be going slow, but maybe that's an issue with either my patience, my computer, or the existence of p5s and p7s in that rule.

RLS would much slower at that task (the repo states that it's slower then WLS).
Maybe there's no other option that's faster than LLS.

[muzik]

In 2D rules, we define a wick as a pattern periodic in time and in one dimension of space, an agar as periodic in time and two dimensions of space, and a wave much the same as a wick but with translation not parallel to the direction the wick repeats in. Have there been names defined for such patterns in 3D?

It seems like it would make sense to call something that repeats in one of three dimensions of space a wick, and in all three dimensions of space an agar, but how about two of three dimensions, especially if it moves like a wave would? What about a 1D thing that moves? Would it too be called a wave?

[UnbihexiumFan]

In 2D rules, we define a wick as a pattern periodic in time and in one dimension of space, an agar as periodic in time and two dimensions of space, and a wave much the same as a wick but with translation not parallel to the direction the wick repeats in. Have there been names defined for such patterns in 3D?

It seems like it would make sense to call something that repeats in one of three dimensions of space a wick, and in all three dimensions of space an agar, but how about two of three dimensions, especially if it moves like a wave would? What about a 1D thing that moves? Would it too be called a wave?

Maybe something periodic in two out of three dimensions could be called a cloth? or a sheet?


Why is apgsearch so slow on B3ai46n8/S2-i35jr67e8? On C1 I'm only getting around ~36 soups/second.

EDIT: For reference, on CGoL C1 symmetry I'm getting ~6500 soups/second.

[silversmith]

Why is apgsearch so slow on B3ai46n8/S2-i35jr67e8? On C1 I'm only getting around ~36 soups/second.

EDIT: For reference, on CGoL C1 symmetry I'm getting ~6500 soups/second.

Apgsearch has larger optimizations for "simpler" rules, so INT rules will run slower than CGOL in general. Additionally, apgsearch works by simulating a soup until it stabilizes, then counting what appears in the result. Based on some quick tests, that rule takes about 8 times longer to stabilize, which will slow down the search speed significantly.

[UnbihexiumFan]

Based on some quick tests, that rule takes about 8 times longer to stabilize

Wow, I didn't realize that that rule took so long to stabilize. Most of the rules I've worked with that go that slow with soup search (like B2-a3i4c5i/S12-k8) have some kind of object that slows apgsearch down (such as B2-a3i4c5i/S12-k8's rake), so I was guessing that it was having trouble identifying one or more of the objects (maybe the flamingoship?). However, I'm going to take your explanation, because you probably know more than me about this. Thank you!

[Drelectron8]

May I kindly ask why all of the posts in the Sandbox should be CA related? Is it because otherwise the forums would get too crammed in non-CA related posts? Most of them get locked after a while for not including anything that has to do with Cellular Automata. I'd just like to know if there are any exceptions for the Sandbox?

[b-engine]

Is it because otherwise the forums would get too crammed in non-CA related posts?

Forum user BokaBB made lots of them in the past, so now moderators enforce it more strictly.

[UnbihexiumFan]

Has LongLife (B345/S5) been proven omniperiodic?

[PK22]

Has LongLife (B345/S5) been proven omniperiodic?

I don't even know if it can be - if you look at the C1 census, there are no odd-period oscillators at all, and the rule doesn't seem particularly friendly to odd-period oscillators due to the lack of survival conditions besides S5.

I tried an LLS search, and there are no asymmetric p3 oscillators inside a 25x25 bounding box, so I think only even period oscillators are possible.

[b-engine]

Is there a rule which oscillators exist but never statorless?

[PK22]

Is there a rule which oscillators exist but never statorless?

I'm fairly certain you cannot create statorless oscillators in this rule, as rotor cells have to be surrounded by stator cells:

Code: Select all

x = 3, y = 3, rule = B8/S01234567
3o$obo$3o!

[b-engine]

Is there a thread for requesting searches of OCA partials? If no, can someone make one?

Anyway, I request someone to search for a c/3 diagonal from this partial:

Accidental c/3d partial:

Code: Select all

x = 26, y = 41, rule = B2-ae3a4a5-ei678/S23j4-y5-i6-i78
18b8o$18b8o$18b7o$16b9o$16b8o$16b8o$16b7o$14b9o$14b8o$14b8o$14b7o$12b
9o$12b8o$12b8o$12b7o$10b9o$10b8o$10b8o$10b7o$8b9o$8b8o$8b8o$8b7o$6b9o
$6b8o$6b8o$6b7o$4b9o$4b8o$4b8o$4b7o$2b9o$2b8o$2b8o$2b7o$9o$8o$8o$7o$3b
4o$3bobo!

[Game of Life Fun]

Is there a different name for replicator puffers?

Code: Select all

x = 121, y = 142, rule = B026/S1
18bo$19bo2bobo$20bo$15bo$16bo6bo$17bo7bo2bo$27b3o$16bo6bobobo$19bo2b2o
b2obo2bo$16bo7bo6bo$20bob2obo$23bo$21b2o4bo$20b2obo5bo$21bo6bobo$29b3o
$23b2o5bob3o$31b2o$31bo$31bo3b3o$34bo6bobo$34bo2b3o$34bob3o$36b3o2bo$
36bo$41bo6b2o$35bo2bobobo$41bo2bo5bo$35bo9bob2o$42bob2o$43b2o$46bo$43b
o$40bo2bo$40bo$42bo$52bo$51bo2$57bo3$54bo2$60bo$59bo6$88bo$91b3o2$85bo
2$94bo4bo$86bo7b3o$86bo6b5o$77bo8bo5bobo6b2o$90b4obo6bo$91b2obo$91b2o
10bo$92bo7bo2bo$98bo$90bo8b3o$97bob3o$93bo5b2o3bo$93b2o11bo$96b2o$72bo
28bo4bo$73bobo37bo$102bobo2bo2bo$106b3o$107bo2bo2$106bobobo2bobo$118bo
$117bo2bo$105bo4bo4bo$114b2o$110bo2b2o$116bobo$112bo$111bo4bobo2$112bo
16$56bo$57bobo3$3bo$6b3o2$o2$9bo4bo$bo7b3o$bo6b5o$bo5bobo6b2o$5b4obo6b
o$6b2obo$6b2o10bo$7bo7bo2bo$13bo$5bo8b3o$12bob3o$8bo5b2o3bo$8b2o11bo$
11b2o$16bo4bo$28bo$17bobo2bo2bo$21b3o$22bo2bo2$21bobobo2bobo$33bo$32bo
2bo$20bo4bo4bo9bo$29b2o10bobo$25bo2b2o$31bobo$27bo$26bo4bobo2$27bo! [[ TRACK -1/6 -1/6 ]]

[UnbihexiumFan]

Is there a different name for replicator puffers?

I'm not too confident about this, but I believe that would be called a breeder, though the term 'breeder' can refer to any object which creates linear growths. I may be wrong, though.

[mmmmmmmmm]

Is there a different name for replicator puffers?

Code: Select all

Due to their behaviour, they are often referred to as Sierpiński generators, but that’s probably not what you meant.

[b-engine]

What spaceships in CGoL are in the 5S database?