31c/240 caterpillar working notes

Post by **codeholic** » June 4th, 2014, 3:32 pm

Ah, that block

x = 67, y = 68, rule = B3/S23
2o$2o22$7b3o$8bo$6b3o40$65bo$64b2o$64bobo!

Post by **codeholic** » July 28th, 2014, 6:51 pm

An optimised front pattern 88:120:120:120:120, that makes use of MWSS, running on 21 spaceship streams. Also the streams are distributed more evenly compared to the previous pattern (9 on one side, 12 on the other), after oblique's advice:

oblique wrote:May be it would be easier to build if most of the fan outs were on the opposite side?

Code: Select all

x = 1669, y = 2695, rule = B3/S23
1665bo$1664b3o$1660bobo3bo$1659b2o4bo$1660bo4bo$1662bob2o$1663b3o10$
1666b3o$1665bo2bo$1668bo$1664bo3bo$1664bo3bo$1668bo$1665bobo9$1600b2o
56b2o$1599bobo56b2o$1601bo27$1540b2o$1539bobo$1541bo116b2o$1658b2o15$
1625bo$1623b2o$1624b2o9$1480b2o183bo$1479bobo182b3o$1481bo181b2obo$
1663b3o$1658b2o3b3o$1658b2o3b3o$1664b2o10$1666b3o$1665bo2bo$1668bo$
1664bo3bo$1664bo3bo$1668bo$1665bobo7$1420b2o$1419bobo$1421bo4$1658b2o$
1658b2o22$1360b2o$1359bobo$1361bo6$1658b2o$1658b2o13$1565bo$1563b2o$
1564b2o5$1300b2o$1299bobo$1301bo363bo$1664b3o$1663b2obo$1663b3o$1663b
3o$1663b3o$1664b2o5$1651b2o$1651b2o4$1666b3o$1665bo2bo$1668bo$1664bo3b
o$1664bo3bo$1668bo$1665bobo5$1240b2o$1239bobo$1241bo7$1659bo$1658b3o$
1637bo20bob2o$1635b2o22b3o$1636b2o21b3o$1659b3o$1651b2o6b2o$1651b2o2$
1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o6$1180b2o$1179bobo$
1181bo15$1651b2o$1651b2o8$1505bo$1503b2o$1504b2o$1120b2o$1119bobo$
1121bo2$1665bo$1664b3o$1663b2obo$1663b3o$1663b3o$1663b3o$1664b2o9$
1651b2o$1651b2o13b3o$1665bo2bo$1668bo$1664bo3bo$1664bo3bo$1668bo$1665b
obo3$1060b2o$1059bobo$1061bo9$1659bo$1658b3o$1658bob2o$1659b3o$1577bo
81b3o$1575b2o82b3o$1576b2o81b2o3$1662bo$1651b2o8b3o$1651b2o7b2obo$
1660b3o$1660b3o$1661b2o4$1000b2o$999bobo$1001bo21$1651b2o$1651b2o5$
940b2o$939bobo503bo$941bo501b2o$1444b2o3$1665bo$1664b3o$1663b2obo$
1663b3o$1663b3o$1663b3o$1664b2o10$1666b3o$1665bo2bo$1668bo$1651b2o11bo
3bo$1651b2o11bo3bo$1668bo$1665bobo$880b2o$879bobo$881bo11$1659bo$1658b
3o$1658bob2o$1659b3o$1659b3o$1659b3o$1517bo141b2o$1515b2o$1516b2o$
1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o2$820b2o$819bobo822b2o
$821bo822b2o19$1637bo$1635b2o$1636b2o6$760b2o$759bobo$761bo$1644b2o$
1644b2o$1385bo$1383b2o$1384b2o$1665bo$1664b3o$1663b2obo$1652bo10b3o$
1651b3o9b3o$1651bob2o8b3o$1652b3o9b2o$1652b3o$1652b3o$1652b2o3$1655bo$
1654b3o$1653b2obo$1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$
1664bo3bo$700b2o966bo$699bobo963bobo$701bo3$1644b2o$1644b2o9$1659bo$
1658b3o$1658bob2o$1659b3o$1659b3o$1659b3o$1659b2o2$1457bo$1455b2o205bo
$1456b2o203b3o$1660b2obo$1660b3o$1660b3o$640b2o1019b2o$639bobo$641bo5$
1644b2o$1644b2o17$1577bo$1575b2o$1576b2o2$580b2o$579bobo$581bo7$1325bo
318b2o$1323b2o319b2o19bo$1324b2o338b3o$1663b2obo$1652bo10b3o$1651b3o9b
3o$1651bob2o8b3o$1652b3o9b2o$1652b3o$1652b3o$1652b2o3$1655bo$1654b3o$
1653b2obo$1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$520b2o1142bo3bo$
519bobo1142bo3bo$521bo1146bo$1665bobo8$1644b2o$1644b2o5$1659bo$1658b3o
$1658bob2o$1659b3o$1659b3o$1659b3o$1659b2o3$1662bo$1397bo263b3o$1395b
2o263b2obo$460b2o934b2o262b3o$459bobo1198b3o$461bo1199b2o11$1644b2o$
1644b2o15$400b2o1115bo$399bobo1113b2o$401bo1114b2o10$1665bo$1265bo398b
3o$1263b2o398b2obo$1264b2o386bo10b3o$1651b3o9b3o$1651bob2o8b3o$1637b2o
13b3o9b2o$1637b2o13b3o$1652b3o$1652b2o3$1655bo$1654b3o$1653b2obo$1653b
3o$1653b3o10b3o$340b2o1312b2o9bo2bo$339bobo1326bo$341bo1295bo26bo3bo$
1635b2o27bo3bo$1636b2o30bo$1665bobo14$1659bo$1637b2o19b3o$1637b2o19bob
2o$1659b3o$1659b3o$1659b3o$1659b2o3$1662bo$280b2o1379b3o$279bobo1378b
2obo$281bo1055bo322b3o$1335b2o323b3o$1336b2o323b2o9$1645bo$1644b3o$
1644bob2o$1645b3o$1645b3o$1645b3o$1645b2o3$1637b2o9bo$1637b2o8b3o$
1646b2obo$1646b3o$1646b3o$1647b2o2$220b2o$219bobo$221bo2$1457bo$1455b
2o$1456b2o8$1665bo$1664b3o$1663b2obo$1205bo446bo10b3o$1203b2o446b3o9b
3o$1204b2o445bob2o8b3o$1652b3o9b2o$1652b3o$1652b3o$1652b2o$1637b2o$
1637b2o$1655bo$1654b3o$1653b2obo$160b2o1491b3o$159bobo1491b3o10b3o$
161bo1492b2o9bo2bo$1668bo$1664bo3bo$1664bo3bo$1577bo90bo$1575b2o88bobo
$1576b2o13$1659bo$1658b3o$1658bob2o$1659b3o$1659b3o$1637b2o20b3o$1637b
2o20b2o2$100b2o$99bobo1560bo$101bo1559b3o$1660b2obo$1660b3o$1660b3o$
1277bo383b2o$1275b2o$1276b2o7$1645bo$1644b3o$1644bob2o$1645b3o$1645b3o
$1645b3o$1645b2o3$1648bo$1647b3o$1646b2obo$1646b3o$19b3o1615b2o7b3o$
19bo20b2o1595b2o8b2o$20bo18bobo$41bo6$1397bo$2b3o1390b2o$bo2bo34bobo
1354b2o$4bo35b2o$4bo35bo$bobo3$1665bo$1664b3o$1663b2obo$1652bo10b3o$
1651b3o9b3o$1145bo505bob2o8b3o$1143b2o507b3o9b2o$1144b2o506b3o$2bo
1649b3o$b3o1648b2o$2obo$3o$b2o1652bo$1654b3o$1637b2o14b2obo$1637b2o14b
3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$1664bo3bo$28b3o1637bo$
28bo2bo1633bobo$28bo1488bo$28bo3bo1482b2o$28bo3bo1483b2o$28bo$29bobo3$
29bo$28b3o$28bob2o$29b3o$29b2o2$1659bo$1658b3o$1658bob2o$1659b3o$1659b
3o$1659b3o$1659b2o3$1662bo$1661b3o$1631bobo26b2obo$1630bo12b3o14b3o$
1630bo3bo9b2o14b3o$1631b2obo8bo17b2o2$1217bo$1215b2o$1216b2o419bo$
1635b2o$1636b2o3$1645bo$38b3o1603b3o$38bo2bo1602bob2o$38bo1606b3o$38bo
1606b3o$39bobo1603b3o$1645b2o3$1648bo$1647b3o$1646b2obo$1646b3o$1646b
3o$1647b2o5$43bo$42b3o1585b2o$41b2obo53bo1531b2o$41b3o53bobo$2b3o37b2o
52bo2bo$bo2bo85bo6b2o1238bo$4bo85b2obo3bo1237b2o$4bo86b2obo3bo1237b2o$
bobo87bo4b2ob2o$92bobo2bobo$93bo4bo$1665bo$1664b3o$1663b2obo$1652bo10b
3o$91bo1559b3o9b3o$90b3o1558bob2o8b3o$89b2obo1559b3o9b2o$89b3o993bo
566b3o$2bo86b3o991b2o567b3o$b3o86b2o992b2o566b2o$2obo$3o$b2o1652bo$
1654b3o$1653b2obo$1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$
85b3o1576bo3bo$28b3o53bo2bo1542b2o36bo$28bo2bo55bo1542b2o33bobo$28bo
58bo$28bo3bo51bobo$28bo3bo158b2o1264bo$28bo160bo4bo1260b2o181bo$29bobo
163bo1260b2o179b3o$189bo5bo1441bob2o$190b6o1442b3o$29bo1608b3o$28b3o
1607b3o$28bob2o1606b2o$29b3o$29b2o$1641bo$1640b3o16bo$1639b2obo15b3o$
1639b3o16bob2o$1639b3o17b3o$1640b2o17b3o$1659b3o$1659b2o3$1662bo$1661b
3o$1660b2obo$1660b3o$1660b3o$1661b2o2$1630b2o$1630b2o$1157bo$1155b2o$
311b2o843b2o419bo$309bo4bo1260b2o$315bo1260b2o$309bo5bo1329bo$38b3o
269b6o1328b3o$38bo2bo1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$
1645b2o3$1648bo$1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$
43bo51bob2o$42b3o51b3o$41b2obo51b3o$41b3o52b2o$2b3o37b2o$bo2bo1625b2o$
4bo1625b2o$4bo1272bo$bobo1271b2o$431b2o843b2o$429bo4bo$435bo1229bo$
429bo5bo1228b3o$430b6o1227b2obo$1652bo10b3o$91bo1559b3o9b3o$90b3o1558b
ob2o8b3o$89b2obo1559b3o9b2o$89b3o1560b3o$2bo86b3o1560b3o$b3o86b2o933bo
626b2o$2obo1019b2o$3o1021b2o$b2o1652bo$1654b3o$1653b2obo$1653b3o$1653b
3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b3o53bo2bo
1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo1597b2o$28bo
1601b2o6bo$29bobo1365bo239b3o$1395b2o240bob2o$551b2o843b2o240b3o$29bo
519bo4bo1083b3o$28b3o524bo1082b3o$28bob2o517bo5bo1082b2o$29b3o518b6o$
29b2o$1641bo$1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$
1640b2o17b3o$1659b3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o
$1661b2o6$1097bo532b2o$1095b2o533b2o$1096b2o419bo$1515b2o128bo$38b3o
630b2o843b2o126b3o$38bo2bo627bo4bo969bob2o$38bo636bo969b3o$38bo630bo5b
o969b3o$39bobo628b6o969b3o$1645b2o3$1648bo$1647b3o$1646b2obo$1646b3o$
1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b3o51b3o$41b2obo51b3o$41b3o
52b2o$2b3o37b2o$bo2bo$4bo1625bo$4bo1623bo3bo$bobo1624bo4bo$1217bo409bo
6bo$1215b2o411bo4b2o$1216b2o410bo36bo$1629b3o32b3o$791b2o836bob2obo28b
2obo$789bo4bo837b4o16bo10b3o$91bo703bo836b2obo15b3o9b3o$90b3o696bo5bo
833bo2b3o16bob2o8b3o$89b2obo697b6o833bo2b3o17b3o9b2o$89b3o1541b2o17b3o
$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o962bo$b2o960b2o690bo$964b2o
688b3o$1653b2obo$1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$
85b3o1576bo3bo$28b3o53bo2bo1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo
51bobo$28bo3bo$28bo1609bo$29bobo1605b3o$1637bob2o$1337bo300b3o$29bo
1305b2o301b3o$28b3o1305b2o300b3o$28bob2o1591b2o13b2o$29b3o879b2o710b2o
$29b2o878bo4bo$915bo725bo$909bo5bo724b3o16bo$910b6o723b2obo15b3o$1639b
3o16bob2o$1639b3o17b3o$1640b2o17b3o$1659b3o$1659b2o3$1662bo$1661b3o$
1660b2obo$1660b3o$1660b3o$1661b2o8$1037bo$1035b2o608bo$38b3o995b2o419b
o186b3o$38bo2bo1413b2o187bob2o$38bo1417b2o187b3o$38bo1584b2o20b3o$39bo
bo904b2o83b2o590b2o20b3o$946b2o81bo4bo610b2o$1035bo$1029bo5bo$1030b6o
612bo$1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob
2o$42b3o51b3o$41b2obo51b3o$41b3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo
1625bob2o$4bo1626b3o$bobo1627b3o$1631b3o$1631b2o$1157bo507bo$1155b2o
507b3o$1156b2o419bo56bo28b2obo$1575b2o56b3o16bo10b3o$91bo1484b2o54b2ob
o15b3o9b3o$90b3o1530b2o7b3o16bob2o8b3o$89b2obo853b2o86b2o115b2o470b2o
7b3o17b3o9b2o$89b3o854b2o86b2o113bo4bo478b2o17b3o$2bo86b3o1063bo496b3o
$b3o86b2o1057bo5bo496b2o$2obo1146b6o$3o$b2o1652bo$1654b3o$1653b2obo$
1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b
3o53bo2bo1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28b
o1609bo$29bobo1605b3o$1637bob2o$1638b3o$29bo1608b3o$28b3o1246bo360b3o$
28bob2o1243b2o361b2o$29b3o1244b2o$29b2o$1641bo$1623b2o15b3o16bo$946b2o
86b2o118b2o115b2o350b2o14b2obo15b3o$946b2o86b2o118b2o113bo4bo364b3o16b
ob2o$1275bo363b3o17b3o$1269bo5bo364b2o17b3o$1270b6o383b3o$1659b2o3$
1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o9$1645bo$38b3o1603b3o$
38bo2bo1602bob2o$38bo1358bo247b3o$38bo1356b2o248b3o$39bobo1354b2o247b
3o$1645b2o2$1623b2o$946b2o86b2o118b2o118b2o115b2o230b2o23bo$946b2o86b
2o118b2o118b2o113bo4bo252b3o$1395bo250b2obo$1389bo5bo250b3o$1390b6o
250b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b3o51b3o$41b2obo51b3o$41b3o
52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo1626b3o$bobo1627b3o
$1631b3o$1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo
1425bo114b2obo15b3o9b3o$90b3o1422b2o115b3o16bob2o8b3o$89b2obo1423b2o
114b3o17b3o9b2o$89b3o1541b2o17b3o$2bo86b3o1560b3o$b3o86b2o1531b2o27b2o
$2obo942b2o86b2o118b2o118b2o118b2o115b2o110b2o$3o943b2o86b2o118b2o118b
2o118b2o113bo4bo$b2o1512bo139bo$1509bo5bo138b3o$1510b6o137b2obo$1653b
3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b3o53b
o2bo1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28bo
1609bo$29bobo1605b3o$1637bob2o$1638b3o$29bo1608b3o$28b3o1607b3o$28bob
2o1606b2o$29b3o$29b2o$1641bo$1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o
$1639b3o17b3o$1640b2o17b3o$946b2o86b2o118b2o118b2o118b2o118b2o106bo36b
3o$946b2o86b2o118b2o118b2o118b2o118b2o106bo36b2o$1622bo2$1618b3o3b3o
35bo$1661b3o$1622bo37b2obo$1622bo37b3o$1622bo37b3o$1661b2o9$1645bo$38b
3o1603b3o$38bo2bo1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b
2o3$1648bo$1647b3o$1646b2obo$1646b3o$946b2o86b2o118b2o118b2o118b2o118b
2o106bo23b3o$946b2o86b2o118b2o118b2o118b2o118b2o106bo24b2o$1622bo2$96b
o1521b3o3b3o$95b3o$43bo51bob2o1523bo$42b3o51b3o1523bo$41b2obo51b3o
1523bo$41b3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo1626b3o
$bobo1627b3o$1631b3o$1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo
10b3o$91bo1540b2obo15b3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b
3o9b2o$89b3o1541b2o17b3o$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o
1652bo$1654b3o$946b2o86b2o118b2o118b2o118b2o118b2o106bo30b2obo$946b2o
86b2o118b2o118b2o118b2o118b2o106bo30b3o$1622bo30b3o10b3o$1654b2o9bo2bo
$1618b3o3b3o41bo$1664bo3bo$85b3o1534bo41bo3bo$28b3o53bo2bo1534bo45bo$
28bo2bo55bo1534bo42bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28bo1609bo$29bo
bo1605b3o$1637bob2o$1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b2o$
29b3o$29b2o$1641bo$1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o
17b3o$1640b2o17b3o$1659b3o$1659b2o3$946b2o86b2o118b2o118b2o118b2o118b
2o106bo39bo$946b2o86b2o118b2o118b2o118b2o118b2o106bo38b3o$1622bo37b2ob
o$1660b3o$1618b3o3b3o33b3o$1661b2o$1622bo$1622bo$1622bo6$1645bo$38b3o
1603b3o$38bo2bo1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b2o
3$1648bo$1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo849b2o86b2o
118b2o118b2o118b2o118b2o106bo$95b3o848b2o86b2o118b2o118b2o118b2o118b2o
106bo$43bo51bob2o1523bo$42b3o51b3o$41b2obo51b3o1519b3o3b3o$41b3o52b2o$
2b3o37b2o1578bo8bo$bo2bo1617bo7b3o$4bo1617bo7bob2o$4bo1626b3o$bobo
1627b3o$1631b3o$1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$
91bo1540b2obo15b3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o
$89b3o1541b2o17b3o$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$
1654b3o$1653b2obo$1653b3o$1653b3o10b3o$1654b2o9bo2bo$946b2o86b2o118b2o
118b2o118b2o118b2o106bo45bo$946b2o86b2o118b2o118b2o118b2o118b2o106bo
41bo3bo$85b3o1534bo41bo3bo$28b3o53bo2bo1580bo$28bo2bo55bo1530b3o3b3o
38bobo$28bo58bo$28bo3bo51bobo1535bo$28bo3bo1589bo$28bo1593bo15bo$29bob
o1605b3o$1637bob2o$1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b2o$29b
3o$29b2o$1641bo$1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o
$1640b2o17b3o$1659b3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$946b2o
86b2o118b2o118b2o118b2o118b2o106bo37b3o$946b2o86b2o118b2o118b2o118b2o
118b2o106bo38b2o$1622bo2$1618b3o3b3o2$1622bo$1622bo$1622bo2$1645bo$38b
3o1603b3o$38bo2bo1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b
2o3$1648bo$1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo
51bob2o$42b3o51b3o$41b2obo51b3o847b2o86b2o118b2o118b2o118b2o118b2o106b
o$41b3o52b2o848b2o86b2o118b2o118b2o118b2o118b2o106bo$2b3o37b2o1578bo8b
o$bo2bo1625b3o$4bo1613b3o3b3o3bob2o$4bo1626b3o$bobo1618bo8b3o$1622bo8b
3o$1622bo8b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo1540b
2obo15b3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b3o
1541b2o17b3o$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o
$1653b2obo$1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o
1576bo3bo$28b3o53bo2bo1580bo$28bo2bo55bo858b2o86b2o118b2o118b2o118b2o
118b2o106bo42bobo$28bo58bo858b2o86b2o118b2o118b2o118b2o118b2o106bo$28b
o3bo51bobo1535bo$28bo3bo$28bo1589b3o3b3o11bo$29bobo1605b3o$1622bo14bob
2o$1622bo15b3o$29bo1592bo15b3o$28b3o1607b3o$28bob2o1606b2o$29b3o$29b2o
$1641bo$1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$1640b2o
17b3o$1659b3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b
2o3$946b2o86b2o118b2o118b2o118b2o118b2o106bo$946b2o86b2o118b2o118b2o
118b2o118b2o106bo$1622bo2$1618b3o3b3o2$1622bo22bo$38b3o1581bo21b3o$38b
o2bo1580bo21bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b2o3$1648b
o$1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$
42b3o51b3o$41b2obo51b3o$41b3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo
941b2o86b2o118b2o118b2o118b2o118b2o106bo7bob2o$4bo941b2o86b2o118b2o
118b2o118b2o118b2o106bo8b3o$bobo1618bo8b3o$1631b3o$1618b3o3b3o4b2o$
1665bo$1622bo41b3o$1622bo11bo28b2obo$1622bo10b3o16bo10b3o$91bo1540b2ob
o15b3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b3o1541b
2o17b3o$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o$
1653b2obo$1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o
1576bo3bo$28b3o53bo2bo1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bob
o$28bo3bo$28bo917b2o86b2o118b2o118b2o118b2o118b2o106bo15bo$29bobo914b
2o86b2o118b2o118b2o118b2o118b2o106bo14b3o$1622bo14bob2o$1638b3o$29bo
1588b3o3b3o11b3o$28b3o1607b3o$28bob2o1590bo15b2o$29b3o1590bo$29b2o
1591bo$1641bo$1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$
1640b2o17b3o$1659b3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o
$1661b2o7$946b2o86b2o118b2o118b2o118b2o118b2o106bo$946b2o86b2o118b2o
118b2o118b2o118b2o106bo$1622bo22bo$38b3o1603b3o$38bo2bo1576b3o3b3o17bo
b2o$38bo1606b3o$38bo1583bo22b3o$39bobo1580bo22b3o$1622bo22b2o3$1648bo$
1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b
3o51b3o$41b2obo51b3o$41b3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bo
b2o$4bo1626b3o$bobo1627b3o$1631b3o$946b2o86b2o118b2o118b2o118b2o118b2o
106bo8b2o$946b2o86b2o118b2o118b2o118b2o118b2o106bo42bo$1622bo41b3o$
1634bo28b2obo$1618b3o3b3o6b3o16bo10b3o$91bo1540b2obo15b3o9b3o$90b3o
1529bo9b3o16bob2o8b3o$89b2obo1529bo9b3o17b3o9b2o$89b3o1530bo10b2o17b3o
$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o$1653b2obo$
1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b
3o53bo2bo1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28b
o1609bo$29bobo1605b3o$1637bob2o$1638b3o$29bo916b2o86b2o118b2o118b2o
118b2o118b2o106bo15b3o$28b3o915b2o86b2o118b2o118b2o118b2o118b2o106bo
15b3o$28bob2o1590bo15b2o$29b3o$29b2o1587b3o3b3o$1641bo$1622bo17b3o16bo
$1622bo16b2obo15b3o$1622bo16b3o16bob2o$1639b3o17b3o$1640b2o17b3o$1659b
3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o9$1645bo$
38b3o1603b3o$38bo2bo904b2o86b2o118b2o118b2o118b2o118b2o106bo21bob2o$
38bo907b2o86b2o118b2o118b2o118b2o118b2o106bo22b3o$38bo1583bo22b3o$39bo
bo1603b3o$1618b3o3b3o18b2o2$1622bo$1622bo25bo$1622bo24b3o$1646b2obo$
1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b3o51b3o$41b2obo51b
3o$41b3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo1626b3o$bob
o1627b3o$1631b3o$1631b2o$1665bo$1664b3o$1634bo28b2obo$946b2o86b2o118b
2o118b2o118b2o118b2o106bo10b3o16bo10b3o$91bo854b2o86b2o118b2o118b2o
118b2o118b2o106bo9b2obo15b3o9b3o$90b3o1529bo9b3o16bob2o8b3o$89b2obo
1539b3o17b3o9b2o$89b3o1526b3o3b3o6b2o17b3o$2bo86b3o1560b3o$b3o86b2o
1530bo29b2o$2obo1618bo$3o1619bo$b2o1652bo$1654b3o$1653b2obo$1653b3o$
1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b3o53bo2b
o1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28bo1609bo$
29bobo1605b3o$1637bob2o$1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b
2o$29b3o$29b2o915b2o86b2o118b2o118b2o118b2o118b2o106bo$946b2o86b2o118b
2o118b2o118b2o118b2o106bo18bo$1622bo17b3o16bo$1639b2obo15b3o$1618b3o3b
3o12b3o16bob2o$1639b3o17b3o$1622bo17b2o17b3o$1622bo36b3o$1622bo36b2o3$
1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o9$1645bo$38b3o1603b3o$
38bo2bo1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$946b2o86b2o118b
2o118b2o118b2o118b2o106bo22b2o$946b2o86b2o118b2o118b2o118b2o118b2o106b
o$1622bo$1648bo$1618b3o3b3o20b3o$1646b2obo$1622bo23b3o$1622bo23b3o$
1622bo24b2o3$96bo$95b3o$43bo51bob2o$42b3o51b3o$41b2obo51b3o$41b3o52b2o
$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo1626b3o$bobo1627b3o$
1631b3o$1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo
1540b2obo15b3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b
3o854b2o86b2o118b2o118b2o118b2o118b2o106bo10b2o17b3o$2bo86b3o854b2o86b
2o118b2o118b2o118b2o118b2o106bo29b3o$b3o86b2o1530bo29b2o$2obo$3o1615b
3o3b3o$b2o1652bo$1622bo31b3o$1622bo30b2obo$1622bo30b3o$1653b3o10b3o$
1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b3o53bo2bo1580bo$28bo
2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28bo1609bo$29bobo1605b
3o$1637bob2o$1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b2o$29b3o$29b
2o$1641bo$1640b3o16bo$1639b2obo15b3o$946b2o86b2o118b2o118b2o118b2o118b
2o106bo16b3o16bob2o$946b2o86b2o118b2o118b2o118b2o118b2o106bo16b3o17b3o
$1622bo17b2o17b3o$1659b3o$1618b3o3b3o32b2o2$1622bo$1622bo39bo$1622bo
38b3o$1660b2obo$1660b3o$1660b3o$1661b2o9$1645bo$38b3o1603b3o$38bo2bo
1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b2o3$1648bo$946b2o
86b2o118b2o118b2o118b2o118b2o106bo24b3o$946b2o86b2o118b2o118b2o118b2o
118b2o106bo23b2obo$1622bo23b3o$1646b3o$1618b3o3b3o20b2o2$1622bo$96bo
1525bo$95b3o1524bo$43bo51bob2o$42b3o51b3o$41b2obo51b3o$41b3o52b2o$2b3o
37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo1626b3o$bobo1627b3o$1631b3o$
1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo1540b2obo15b
3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b3o1541b2o17b
3o$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o943b2o86b2o118b2o118b2o118b
2o118b2o106bo$b2o943b2o86b2o118b2o118b2o118b2o118b2o106bo32bo$1622bo
31b3o$1653b2obo$1618b3o3b3o26b3o$1653b3o10b3o$1622bo31b2o9bo2bo$1622bo
45bo$1622bo41bo3bo$85b3o1576bo3bo$28b3o53bo2bo1580bo$28bo2bo55bo1577bo
bo$28bo58bo$28bo3bo51bobo$28bo3bo$28bo1609bo$29bobo1605b3o$1637bob2o$
1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b2o$29b3o$29b2o$1641bo$
1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$1640b2o17b3o$
1659b3o$946b2o86b2o118b2o118b2o118b2o118b2o106bo36b2o$946b2o86b2o118b
2o118b2o118b2o118b2o106bo$1622bo$1662bo$1618b3o3b3o34b3o$1660b2obo$
1622bo37b3o$1622bo37b3o$1622bo38b2o9$1645bo$38b3o1603b3o$38bo2bo1602bo
b2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b2o3$1648bo$1647b3o$
1646b2obo$1646b3o$1646b3o$946b2o86b2o118b2o118b2o118b2o118b2o106bo24b
2o$946b2o86b2o118b2o118b2o118b2o118b2o106bo$1622bo$96bo$95b3o1520b3o3b
3o$43bo51bob2o$42b3o51b3o1523bo$41b2obo51b3o1523bo$41b3o52b2o1524bo$2b
3o37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo1626b3o$bobo1627b3o$1631b3o
$1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo1540b2obo
15b3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b3o1541b2o
17b3o$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o$1653b
2obo$946b2o86b2o118b2o118b2o118b2o118b2o106bo30b3o$946b2o86b2o118b2o
118b2o118b2o118b2o106bo30b3o10b3o$1622bo31b2o9bo2bo$1668bo$1618b3o3b3o
37bo3bo$85b3o1576bo3bo$28b3o53bo2bo1534bo45bo$28bo2bo55bo1534bo42bobo$
28bo58bo1534bo$28bo3bo51bobo$28bo3bo$28bo1609bo$29bobo1605b3o$1637bob
2o$1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b2o$29b3o$29b2o$1641bo$
1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$1640b2o17b3o$
1659b3o$1659b2o3$1662bo$946b2o86b2o118b2o118b2o118b2o118b2o106bo38b3o$
946b2o86b2o118b2o118b2o118b2o118b2o106bo37b2obo$1622bo37b3o$1660b3o$
1618b3o3b3o34b2o2$1622bo$1622bo$1622bo5$1645bo$38b3o1603b3o$38bo2bo
1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b2o3$1648bo$1647b
3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o848b2o86b2o118b2o118b
2o118b2o118b2o106bo$43bo51bob2o847b2o86b2o118b2o118b2o118b2o118b2o106b
o$42b3o51b3o1523bo$41b2obo51b3o$41b3o52b2o1520b3o3b3o$2b3o37b2o1587bo$
bo2bo1617bo7b3o$4bo1617bo7bob2o$4bo1617bo8b3o$bobo1627b3o$1631b3o$
1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo1540b2obo15b
3o9b3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b3o1541b2o17b
3o$2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o$1653b2obo
$1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$946b2o86b2o118b2o118b2o118b
2o118b2o106bo41bo3bo$85b3o858b2o86b2o118b2o118b2o118b2o118b2o106bo41bo
3bo$28b3o53bo2bo1534bo45bo$28bo2bo55bo1577bobo$28bo58bo1530b3o3b3o$28b
o3bo51bobo$28bo3bo1589bo$28bo1593bo15bo$29bobo1590bo14b3o$1637bob2o$
1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b2o$29b3o$29b2o$1641bo$
1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$1640b2o17b3o$
1659b3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$946b2o86b2o
118b2o118b2o118b2o118b2o106bo38b2o$946b2o86b2o118b2o118b2o118b2o118b2o
106bo$1622bo2$1618b3o3b3o2$1622bo$1622bo$1622bo$1645bo$38b3o1603b3o$
38bo2bo1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b2o3$1648bo
$1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b
3o51b3o$41b2obo51b3o$41b3o52b2o848b2o86b2o118b2o118b2o118b2o118b2o106b
o$2b3o37b2o902b2o86b2o118b2o118b2o118b2o118b2o106bo8bo$bo2bo1617bo7b3o
$4bo1625bob2o$4bo1613b3o3b3o4b3o$bobo1627b3o$1622bo8b3o$1622bo8b2o$
1622bo42bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo1540b2obo15b3o9b
3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b3o1541b2o17b3o$
2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o$1653b2obo$
1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b
3o53bo2bo1580bo$28bo2bo55bo1577bobo$28bo58bo858b2o86b2o118b2o118b2o
118b2o118b2o106bo$28bo3bo51bobo859b2o86b2o118b2o118b2o118b2o118b2o106b
o$28bo3bo1589bo$28bo1609bo$29bobo1586b3o3b3o10b3o$1637bob2o$1622bo15b
3o$29bo1592bo15b3o$28b3o1591bo15b3o$28bob2o1606b2o$29b3o$29b2o$1641bo$
1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$1640b2o17b3o$
1659b3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o4$
946b2o86b2o118b2o118b2o118b2o118b2o106bo$946b2o86b2o118b2o118b2o118b2o
118b2o106bo$1622bo2$1618b3o3b3o$1645bo$38b3o1581bo21b3o$38bo2bo1580bo
21bob2o$38bo1583bo22b3o$38bo1606b3o$39bobo1603b3o$1645b2o3$1648bo$
1647b3o$1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b
3o51b3o$41b2obo51b3o$41b3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bo
b2o$4bo941b2o86b2o118b2o118b2o118b2o118b2o106bo8b3o$bobo942b2o86b2o
118b2o118b2o118b2o118b2o106bo8b3o$1622bo8b3o$1631b2o$1618b3o3b3o38bo$
1664b3o$1622bo11bo28b2obo$1622bo10b3o16bo10b3o$91bo1530bo9b2obo15b3o9b
3o$90b3o1539b3o16bob2o8b3o$89b2obo1539b3o17b3o9b2o$89b3o1541b2o17b3o$
2bo86b3o1560b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o$1653b2obo$
1653b3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b
3o53bo2bo1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28b
o1609bo$29bobo914b2o86b2o118b2o118b2o118b2o118b2o106bo14b3o$946b2o86b
2o118b2o118b2o118b2o118b2o106bo14bob2o$1622bo15b3o$29bo1608b3o$28b3o
1587b3o3b3o11b3o$28bob2o1606b2o$29b3o1590bo$29b2o1591bo$1622bo18bo$
1640b3o16bo$1639b2obo15b3o$1639b3o16bob2o$1639b3o17b3o$1640b2o17b3o$
1659b3o$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o8$
946b2o86b2o118b2o118b2o118b2o118b2o106bo$946b2o86b2o118b2o118b2o118b2o
118b2o106bo22bo$38b3o1581bo21b3o$38bo2bo1602bob2o$38bo1579b3o3b3o18b3o
$38bo1606b3o$39bobo1580bo22b3o$1622bo22b2o$1622bo2$1648bo$1647b3o$
1646b2obo$1646b3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b3o51b3o$
41b2obo51b3o$41b3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo
1626b3o$bobo1627b3o$1631b3o$1631b2o$946b2o86b2o118b2o118b2o118b2o118b
2o106bo42bo$946b2o86b2o118b2o118b2o118b2o118b2o106bo41b3o$1622bo11bo
28b2obo$1633b3o16bo10b3o$91bo1526b3o3b3o5b2obo15b3o9b3o$90b3o1539b3o
16bob2o8b3o$89b2obo1529bo9b3o17b3o9b2o$89b3o1530bo10b2o17b3o$2bo86b3o
1530bo29b3o$b3o86b2o1560b2o$2obo$3o$b2o1652bo$1654b3o$1653b2obo$1653b
3o$1653b3o10b3o$1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b3o53b
o2bo1580bo$28bo2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28bo
1609bo$29bobo1605b3o$1637bob2o$1638b3o$29bo1608b3o$28b3o915b2o86b2o
118b2o118b2o118b2o118b2o106bo15b3o$28bob2o914b2o86b2o118b2o118b2o118b
2o118b2o106bo15b2o$29b3o1590bo$29b2o$1618b3o3b3o14bo$1640b3o16bo$1622b
o16b2obo15b3o$1622bo16b3o16bob2o$1622bo16b3o17b3o$1640b2o17b3o$1659b3o
$1659b2o3$1662bo$1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o9$1645bo$38b
3o1603b3o$38bo2bo1602bob2o$38bo907b2o86b2o118b2o118b2o118b2o118b2o106b
o22b3o$38bo907b2o86b2o118b2o118b2o118b2o118b2o106bo22b3o$39bobo1580bo
22b3o$1645b2o$1618b3o3b3o2$1622bo25bo$1622bo24b3o$1622bo23b2obo$1646b
3o$1646b3o$1647b2o3$96bo$95b3o$43bo51bob2o$42b3o51b3o$41b2obo51b3o$41b
3o52b2o$2b3o37b2o1587bo$bo2bo1625b3o$4bo1625bob2o$4bo1626b3o$bobo1627b
3o$1631b3o$1631b2o$1665bo$1664b3o$1634bo28b2obo$1633b3o16bo10b3o$91bo
854b2o86b2o118b2o118b2o118b2o118b2o106bo9b2obo15b3o9b3o$90b3o853b2o86b
2o118b2o118b2o118b2o118b2o106bo9b3o16bob2o8b3o$89b2obo1529bo9b3o17b3o
9b2o$89b3o1541b2o17b3o$2bo86b3o1526b3o3b3o25b3o$b3o86b2o1560b2o$2obo
1618bo$3o1619bo$b2o1619bo32bo$1654b3o$1653b2obo$1653b3o$1653b3o10b3o$
1654b2o9bo2bo$1668bo$1664bo3bo$85b3o1576bo3bo$28b3o53bo2bo1580bo$28bo
2bo55bo1577bobo$28bo58bo$28bo3bo51bobo$28bo3bo$28bo1609bo$29bobo1605b
3o$1637bob2o$1638b3o$29bo1608b3o$28b3o1607b3o$28bob2o1606b2o$29b3o$29b
2o$946b2o86b2o118b2o118b2o118b2o118b2o106bo18bo$946b2o86b2o118b2o118b
2o118b2o118b2o106bo17b3o16bo$1622bo16b2obo15b3o$1639b3o16bob2o$1618b3o
3b3o12b3o17b3o$1640b2o17b3o$1622bo36b3o$1622bo36b2o$1622bo2$1662bo$
1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o9$1645bo$38b3o1603b3o$38bo2bo
1602bob2o$38bo1606b3o$38bo1606b3o$39bobo1603b3o$1645b2o$946b2o86b2o
118b2o118b2o118b2o118b2o106bo$946b2o86b2o118b2o118b2o118b2o118b2o106bo
$1622bo25bo$1647b3o$1618b3o3b3o19b2obo$1646b3o$1622bo23b3o$1622bo24b2o
$1622bo2$96bo$95b3o$43bo51bob2o$42b3o51b3o$41b2obo51b3o$41b3o52b2o$2b
3o37b2o$bo2bo$4bo$4bo$bobo3$1665bo$1664b3o$1663b2obo$1652bo10b3o$91bo
1559b3o9b3o$90b3o1558bob2o8b3o$89b2obo1559b3o9b2o$89b3o1560b3o$2bo86b
3o854b2o86b2o118b2o118b2o118b2o118b2o106bo29b3o$b3o86b2o854b2o86b2o
118b2o118b2o118b2o118b2o106bo29b2o$2obo1618bo$3o$b2o1615b3o3b3o28bo$
1654b3o$1622bo30b2obo$1622bo30b3o$1622bo30b3o10b3o$1654b2o9bo2bo$1668b
o$1664bo3bo$85b3o1576bo3bo$28b3o53bo2bo1580bo$28bo2bo55bo1577bobo$28bo
58bo$28bo3bo51bobo$28bo3bo$28bo$29bobo3$29bo$28b3o$28bob2o$29b3o$29b2o
2$1659bo$1658b3o$1658bob2o$1659b3o$1659b3o$1659b3o$1659b2o3$1662bo$
1661b3o$1660b2obo$1660b3o$1660b3o$1661b2o26$96bo$95b3o$95bob2o$96b3o$
96b3o$96b2o8$1665bo$1664b3o$1663b2obo$1663b3o$91bo1571b3o$90b3o1570b3o
$89b2obo1571b2o$89b3o$89b3o$90b2o7$1666b3o$1665bo2bo$1668bo$1664bo3bo$
85b3o1576bo3bo$84bo2bo1580bo$87bo1577bobo$87bo$84bobo!

I think 21 is close to the minimum allowed by the caterpillar-esque design.

Post by **dvgrn** » July 28th, 2014, 11:03 pm

codeholic wrote:An optimised front pattern 88:120:120:120:120, that makes use of MWSS, running on 21 spaceship streams. Also the streams are distributed more evenly compared to the previous pattern (9 on one side, 12 on the other)... I think 21 is close to the minimum allowed by the caterpillar-esque design.

Whoa, asymmetry! Well, it looks workable:

Code: Select all

#C rephaser, left backrake, and right backrake at 88:120x4
x = 887, y = 1569, rule = B3/S23
179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b
2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o
118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o
118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o
118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o
118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o
86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$
179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o
118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o
118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o
118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o
118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o
86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$
179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b
2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o
118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o
118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o
118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o
118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o
86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o118b2o$
179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o118b2o
118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o118b2o
118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o118b2o
118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o30$179b2o86b2o
118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o4$749bo$
748b3o$752b3o$741b2o6bo2bobo$736bo5b2o$730b2o4b2o2bobo12b2o$730bo4bo2b
4obo11b2o$730bo2b3o4b3o12bobo$730b7o3b2obo11b3o$735b2o4b2o12b3o$735b2o
5bo11bo$753b2o8bobo$764b2o$764bo4$747b2o$747b2o8$179b2o86b2o118b2o118b
2o118b2o$179b2o86b2o118b2o118b2o118b2o3$739b2o$739b2o4$724bo$723bo$
723b3o11$747b2o$747b2o8$179b2o86b2o118b2o118b2o118b2o$179b2o86b2o118b
2o118b2o118b2o3$739b2o$739b2o10$767b3o$769bo$768bo2$183b2o$182bobo$
181b2o$183bo563b2o$183bobo73b3o485b2o$185b2o$184b3o72bobo$262bo$258bo
3bo2$258bo2b2o2$387b2o118b2o$387b2o118b2o125b2o$633bob2o$269b2o354b2o
7bo$187b2o70b2o8b2o354b2o6b3o103b2o$187b2o70b2o372b3o103b2o$633b2ob2o$
628bo$181b3o442b2o$181bo445b2o$182bo86bo$268bo2bo$271b2o$269bo3bo433b
3o$269bo2bo350b2o84bo$270b2o351b2o83bo7$179b2o86b2o358b2o118b2o$179b2o
86b2o358b2o118b2o7$388bo$389bo$504b5o$388b2o112bo5b2o$384b3ob2o111b2o
3bob2o$187b2o70b2o123bo4bo116bob2o125b2o102b2o$187b2o70b2o122b2o6b2o
108bobobo3bo125b2o102b2o$241b3o140bob3ob2obo106b2ob2obobo$241bo141bo5b
o3bo100bo5b2o5bo156bo$242bo140bo2bobo4bo96b2o10bo160bo$384bo7bo96bo6bo
166b3o$386b3obo98bob2o4b2o$490bo4bob2o16b2o130b3o$496b2o18bo132bo$514b
2obo3b2o125bo$383b2o127b2o3bobobo$383b2o123bo2bo5bobo$507bo3b2ob3obo
60bo$508bobo3bo63bo$509b4o65b3o$510b3o2$321bo206bobo$179b2o86b2o53bo
64b2o118b2o20b2o96b2o118b2o$179b2o86b2o51b3o64b2o118b2o20bo97b2o118b2o
3$360bobo$360b2o$361bo7$187b2o70b2o40b3o91b2o102b2o134b2o102b2o$187b2o
70b2o40bo93b2o102b2o134b2o102b2o$302bo3$587b3o$589bo92bo$588bo94b2o$
682b2o2$479bo$208bo269bo$206b2o270b3o$207b2o2$421bo$244bo177bo$245b2o
173b3o$179b2o63b2o21b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b
2o118b2o118b2o12$187b2o70b2o134b2o102b2o238b2o$187b2o70b2o134b2o102b2o
238b2o17$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o
118b2o118b2o12$395b2o102b2o238b2o$395b2o102b2o238b2o17$179b2o86b2o118b
2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o12$395b2o102b
2o$395b2o102b2o7$419bo$418bo$418b3o3$481bo$482bo$480b3o3$179b2o86b2o
118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o12$395b2o
102b2o$395b2o102b2o17$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o
118b2o118b2o118b2o118b2o4$749bo$748b3o$752b3o$741b2o6bo2bobo$736bo5b2o
$730b2o4b2o2bobo12b2o$730bo4bo2b4obo11b2o$730bo2b3o4b3o12bobo$730b7o3b
2obo11b3o$735b2o4b2o12b3o$735b2o5bo11bo$753b2o8bobo$764b2o$764bo4$747b
2o$747b2o8$179b2o86b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o
3$739b2o$739b2o4$724bo$723bo$723b3o11$747b2o$747b2o8$179b2o86b2o118b2o
118b2o118b2o$179b2o86b2o118b2o118b2o118b2o3$739b2o$739b2o10$767b3o$
769bo$768bo2$182b3o$181bo2bo$181bo2bo$182b4o561b2o$184b2o73b3o485b2o$
186bo73bo$185bo74b3o$185bo5$387b2o118b2o$387b2o118b2o125b2o$633bob2o$
269b2o354b2o7bo$187b2o70b2o8b2o354b2o6b3o103b2o$187b2o70b2o372b3o103b
2o$633b2ob2o$628bo$626b2o$627b2o$271bo$270bobo$269bo3bo$269bo3bo433b3o
$269bo353b2o84bo$270b3o350b2o83bo7$179b2o86b2o358b2o118b2o$179b2o86b2o
358b2o118b2o7$388bo$389bo$504b5o$388b2o112bo5b2o$384b3ob2o111b2o3bob2o
$187b2o70b2o123bo4bo116bob2o125b2o102b2o$187b2o70b2o122b2o6b2o108bobob
o3bo125b2o102b2o$384bob3ob2obo106b2ob2obobo$383bo5bo3bo100bo5b2o5bo
156bo$383bo2bobo4bo96b2o10bo160bo$384bo7bo96bo6bo166b3o$386b3obo98bob
2o4b2o$490bo4bob2o16b2o130b3o$496b2o18bo132bo$514b2obo3b2o125bo$383b2o
127b2o3bobobo$383b2o123bo2bo5bobo$507bo3b2ob3obo60bo$508bobo3bo63bo$
509b4o65b3o$510b3o2$528bobo$179b2o86b2o53bo64b2o118b2o20b2o96b2o118b2o
$179b2o86b2o51bobo64b2o118b2o20bo97b2o118b2o$321b2o2$360bobo$120bo239b
2o$120bobo238bo$120b2o6$187b2o70b2o134b2o102b2o134b2o102b2o$187b2o70b
2o134b2o102b2o134b2o102b2o4$587b3o$589bo92bo$588bo94b2o$682b2o2$479bo$
478bo$206bobo269b3o$206b2o$207bo$421bo$422bo$244bobo173b3o$179b2o64b2o
20b2o118b2o118b2o118b2o118b2o$179b2o64bo21b2o118b2o118b2o118b2o118b2o
12$187b2o70b2o134b2o102b2o238b2o$187b2o70b2o134b2o102b2o238b2o17$179b
2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o12$
395b2o102b2o238b2o$395b2o102b2o238b2o17$179b2o86b2o118b2o118b2o118b2o
118b2o$179b2o86b2o118b2o118b2o118b2o118b2o2$60bo$60bobo$60b2o8$395b2o
102b2o$395b2o102b2o7$419bo$418bo$418b3o3$481bo$482bo$480b3o3$179b2o86b
2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o118b2o118b2o118b2o12$395b
2o102b2o$395b2o102b2o17$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b
2o118b2o118b2o118b2o118b2o3$749bo$748bobo$747bo4b2o$742bo5bobobobo$
742b2o8bob2o$735bo2bo2bobo10b3o$729b3o3bo3bo14b3o$735bo2b2o14bo2bo$
742b3o8b3ob2o$729bo3bo8b3o8b3ob2o$730bo2bo2bo4bobo10bo2bo$732bo3bo4b2o
$753b3o8bo$765b2o$764b2o4$747b2o$747b2o8$179b2o86b2o118b2o118b2o118b2o
$o178b2o86b2o118b2o118b2o118b2o$obo$2o$739b2o$739b2o5$723bo$723bobo$
723b2o10$747b2o$747b2o8$179b2o86b2o118b2o118b2o118b2o$179b2o86b2o118b
2o118b2o118b2o3$739b2o$739b2o14$183b2o$182bobo$181b2o$183bo563b2o$183b
obo73b3o485b2o$185b2o$184b3o72bobo$262bo$258bo3bo2$258bo2b2o2$387b2o
118b2o126bo$387b2o118b2o125b3o$634bob2o$269b2o354b2o$187b2o70b2o8b2o
354b2o112b2o$187b2o70b2o478b2o3$181b3o442bobo$181bo444b2o$182bo86bo
357bo$268bo2bo$271b2o$269bo3bo$269bo2bo350b2o199bo$270b2o351b2o200b2o$
824b2o6$179b2o86b2o358b2o118b2o$179b2o86b2o358b2o118b2o7$388bo$389bo$
504b5o$388b2o112bo5b2o$384b3ob2o111b2o3bob2o$187b2o70b2o123bo4bo116bob
2o125b2o102b2o$187b2o70b2o122b2o6b2o108bobobo3bo125b2o102b2o$241b3o
140bob3ob2obo106b2ob2obobo$241bo141bo5bo3bo100bo5b2o5bo$242bo140bo2bob
o4bo96b2o10bo160bo$384bo7bo96bo6bo166bobo$386b3obo98bob2o4b2o164b2o$
490bo4bob2o16b2o$496b2o18bo$514b2obo3b2o$383b2o127b2o3bobobo$383b2o
123bo2bo5bobo$507bo3b2ob3obo$508bobo3bo63bo$509b4o65bobo$510b3o65b2o2$
321bo206bobo$179b2o86b2o53bo64b2o118b2o20b2o96b2o118b2o$179b2o86b2o51b
3o64b2o118b2o20bo97b2o118b2o3$360bobo$360b2o$361bo7$187b2o70b2o40b3o
91b2o102b2o134b2o102b2o$187b2o70b2o40bo93b2o102b2o134b2o102b2o$302bo5$
682bobo$683b2o$683bo$479bo$208bo269bo$206b2o270b3o$207b2o2$421bo$244bo
177bo$245b2o173b3o$179b2o63b2o21b2o118b2o118b2o118b2o118b2o$179b2o86b
2o118b2o118b2o118b2o118b2o12$187b2o70b2o134b2o102b2o238b2o$187b2o70b2o
134b2o102b2o238b2o7$884bo$885b2o$884b2o8$179b2o86b2o118b2o118b2o118b2o
118b2o$179b2o86b2o118b2o118b2o118b2o118b2o12$395b2o102b2o238b2o$395b2o
102b2o238b2o17$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o118b2o
118b2o118b2o118b2o12$395b2o102b2o$395b2o102b2o7$419bo$418bo$418b3o3$
481bo$482bo$480b3o3$179b2o86b2o118b2o118b2o118b2o118b2o$179b2o86b2o
118b2o118b2o118b2o118b2o12$395b2o102b2o$395b2o102b2o!

The block trails don't seem to be very permeable, though I haven't tried all the options yet. The 2G->TL+G reaction will give us a couple of forerakes and a couple more backrakes, so it's certainly possible to finish a (rather long) 31c/240 with this toolkit.

EDIT: The Herschel on the far left can be moved a few blocks up its trail, to allow the glider collision point to move to a safe distance away from the trail. Similarly, on the right side the collision point is already a safe distance away, but it can be brought closer by moving the rightmost Herschel down two blocks and re-timing it a little.

Post by **dvgrn** » July 29th, 2014, 7:53 am

dvgrn wrote:The block trails don't seem to be very permeable, though I haven't tried all the options yet.

More specifically, the glider collisions on the left and right sides can't be adjusted to kick back a glider either forward or backward, since neither of those can get through the trails to the other side. Backward kickbacks are a little more promising than forward ones:

Code: Select all

#C backward kickbacks get past the center line, at least --
x = 648, y = 1140, rule = B3/S23
31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o
30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b
2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o
118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b
2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o
118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b
2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o
118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b
2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o
118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b
2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o
86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b
2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$
31b2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b
2o$31b2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o
118b2o$31b2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b
2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o22$591b3o$592bo$592b3o6$31b
2o86b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o2$601b2o$591b2o
8b2o$591b2o5$603bo$602bobo$601bo3bo$601bo3bo$601bo$602b3o7$599b2o$599b
2o6$28b3obo$27bo3b3o$30bob3o84b2o118b2o118b2o118b2o$27b2ob2o2b2o83b2o
118b2o118b2o118b2o$27b5o3bo$33bobo$28b2ob4o556b2o$28b2ob2o558b2o$29bob
o8bo$30bo9bo$40bo6$27b2o$27b2o6$645bobo$31b2o566b2o44b2o$31b2o566b2o
45bo7$o116bo$obo115bo120b2o118b2o118b2o$2o112bo6bo117b2o118b2o118b2o$
113bo3b3o2bo$112bo9bo$39b2o71bo4b4ob2o354b2o111b2o$39b2o70bo5b4obo355b
obo110b2o$112bo5bo2bo351b3o2b3o$113b4o355b2ob2o7b2o$114b2o356bo10b2o$
5bo97b2o380bobo4bo$4b2o99bo363b2o16b3o2bo3b3o$4bobo95b3o22b4o338b2o13b
o2b3o2bo$103bo21b8o351b2o$125b5ob4o335b4o10b3o$124b2o2b2obo2bo335b3obo
11b2o101bo$131b3o336bo3bo10b2o102b2o$123b2o6bo340b3o63bobo47bobo$124bo
3b3o330bobo74b2o$125b2o334b2o76bo$125bo336bo$124bo2$31b2o86b2o20bobo
335b2o118b2o$31b2o86b2o21b2o335b2o118b2o$68bobo71bo$69b2o$69bo5$239b2o
118b2o$239b2o118b2o3$39b2o70b2o374b2o102b2o$39b2o70b2o374b2o102b2o2$
65bo$64b2o$64bobo$504bo$505bo$503b3o23bo$529b2o$528bobo$90bo$89bo$89b
3o2$247bo$246b2o$245bo2bo$31b2o86b2o124bobo231b2o118b2o$31b2o86b2o124b
o2bo230b2o118b2o$245bo2bo$246bobo$245b3o$352bo$351b3o$350b2o2bo$350b2o
b2o$353b3o$351bob2o$350bo2bo$237b2o114bo7b2o$39b2o70b2o124b2o8b2o101bo
bo8b2o124b2o102b2o$39b2o70b2o12bo121b2o102bo135b2o102b2o$124b2o$124bob
o108b3o$235b3o$234b4o$232b2obo125bobo105bo$232b2ob2o125b2o105b2o$232b
5o2b2o121bo105bobo$233b3o$233bo129b2o$363b2o4$585bobo$585b2o$586bo$31b
2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o4$
51bobo$52b2o$52bo5$185bo$39b2o143b2o61b2o102b2o238b2o$39b2o143bobo60b
2o102b2o238b2o3$409bo$409b2o$408bobo12$31b2o86b2o118b2o118b2o118b2o
118b2o$31b2o86b2o118b2o118b2o118b2o118b2o12$247b2o102b2o238b2o$247b2o
102b2o238b2o3$564bo$565bo$563b3o3$301bobo$301b2o$302bo3$301bobo$302b2o
$302bo2$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b
2o118b2o12$247b2o102b2o238b2o$247b2o102b2o238b2o12$525bobo$525b2o$526b
o3$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b
2o2$111bobo$112b2o$112bo8$247b2o102b2o$247b2o102b2o17$31b2o86b2o118b2o
118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b
2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o23$465bobo$465b
2o$466bo5$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o50bobo65b2o118b
2o118b2o118b2o$172b2o$172bo28$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o
86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b
2o86b2o118b2o118b2o118b2o118b2o21$405bobo$405b2o$406bo6$231bobo$31b2o
86b2o111b2o5b2o118b2o118b2o118b2o$31b2o86b2o111bo6b2o118b2o118b2o118b
2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o
118b2o30$31b2o86b2o118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b
2o118b2o19$345bobo$345b2o$346bo6$291bobo$292b2o$292bo$31b2o86b2o118b2o
118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b
2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o
118b2o118b2o118b2o118b2o$31b2o86b2o118b2o118b2o118b2o118b2o17$285bobo$
285b2o$286bo6$351bobo$352b2o$352bo3$31b2o86b2o118b2o118b2o118b2o118b2o
$31b2o86b2o118b2o118b2o118b2o118b2o30$31b2o86b2o118b2o238b2o118b2o$31b
2o86b2o118b2o238b2o118b2o!

But I think it will take a completely new trick to extract a glider on new lane -- I'm out of ideas for the moment, except that you can do arbitrary glider collisions down the center lane, and there are some interesting possibilities with three-trail rakes at this spacing:

Code: Select all

x = 618, y = 2132, rule = B3/S23
21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o118b2o
118b2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b
2o118b2o118b2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b
2o$109b2o118b2o118b2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o
118b2o118b2o$109b2o118b2o118b2o21$21b2o446b2o118b2o$21b2o446b2o118b2o
8$109b2o118b2o118b2o$109b2o118b2o118b2o21$21b2o446b2o118b2o$21b2o446b
2o118b2o8$109b2o118b2o118b2o$109b2o118b2o118b2o21$21b2o446b2o118b2o$
21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o118b2o118b2o21$21b2o446b2o
118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o118b2o118b2o21$21b
2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o118b2o118b
2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o
118b2o118b2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o
$109b2o118b2o118b2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b
2o118b2o$109b2o118b2o118b2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$
109b2o118b2o118b2o$109b2o118b2o118b2o21$21b2o446b2o118b2o$21b2o446b2o
118b2o8$109b2o118b2o118b2o$109b2o118b2o118b2o21$21b2o446b2o118b2o$21b
2o446b2o118b2o8$109b2o118b2o118b2o$109b2o118b2o118b2o21$21b2o446b2o
118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o118b2o118b2o21$21b
2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o118b2o118b
2o21$21b2o446b2o118b2o$21b2o446b2o118b2o8$109b2o118b2o118b2o$109b2o
118b2o118b2o5$346bobo$346bo$346bo2b3o4bobo$351bo4bobo$334bo12b4o4bo2bo
$334bo5b2o4bobo6b3o$334bo5bobo2b3o9bo$340bob2o2b3o6b3o6bo$334b3ob5o5bo
13bobo$334b3obo2bo21b2o$334b2o2b3o$332bo2b2o$332b2ob2o$333b2o3$21b2o
326b2o118b2o118b2o$21b2o326b2o118b2o118b2o8$109b2o118b2o$109b2o118b2o
3$341b2o$341b2o2$328bobo$328b2o$329bo13$21b2o326b2o118b2o118b2o$21b2o
326b2o118b2o118b2o8$109b2o118b2o$109b2o118b2o3$341b2o$341b2o17$21b2o
326b2o118b2o118b2o$21b2o326b2o118b2o118b2o2$359bo$359b2o$358bobo4$109b
2o$109b2o$232b2o$231b2obo$232bobo106b2o$227b2o4b3o105b2o$226bob2o3b3o$
226b5obobobo$230b3obobo$236b2o$234b3o138bobo$234b2o139b2o$234bo141bo2$
225b2o$225b2o7$21b2o206b2o118b2o118b2o118b2o$21b2o206b2o68bo49b2o118b
2o118b2o$299b2o$298bobo6$109b2o$109b2o3$237b2o102b2o$237b2o29bobo70b2o
$191bobo74b2o$109bo81b2o76bo$108bo83bo$110bo7bo$107bo2bo6bobo$105b2ob
2o6b2o2bo$95b2o8b2o9bo3bo$96b2o4b2o5b2o8b2o$95b2o5b2o14b3o$93b3o10bo$
93bo12bo4b2o$93bo12bo3bo$111b2o3$239bo$21b2o86b2o118b2o8b2o108b2o118b
2o118b2o$21b2o86b2o118b2o7bobo108b2o118b2o118b2o7$274bo$275bo$273b3o3$
91bobo7b2o134b2o102b2o$91b2o8b2o134b2o102b2o$92bo13$179bo$179b2o$178bo
bo$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b
2o12$101b2o238b2o$101b2o238b2o3$315bobo$315b2o$316bo12$21b2o86b2o118b
2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$101b2o238b2o
$101b2o238b2o17$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o
118b2o118b2o118b2o5$334bo$335bo$333b3o5$101b2o238b2o$101b2o238b2o17$
21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o
12$101b2o$101b2o$255bobo$255b2o$256bo14$21b2o86b2o118b2o118b2o118b2o
118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$101b2o$101b2o17$21b2o86b2o
118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$101b2o$
101b2o17$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b
2o118b2o12$101b2o92bobo$101b2o92b2o$196bo16$21b2o86b2o118b2o118b2o118b
2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$101b2o$101b2o17$21b2o86b
2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$101b2o
$101b2o17$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o
118b2o118b2o10$135bobo$135b2o$101b2o33bo$101b2o17$21b2o86b2o118b2o118b
2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$101b2o$101b2o17$
21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o
30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b
2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o
118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b
2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o
118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b
2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o
118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b
2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o
118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b
2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o
86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$21b
2o86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b2o$
21b2o86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o118b
2o$21b2o86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b2o
118b2o$21b2o86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o118b
2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b2o
118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o118b
2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o30$21b2o86b2o118b2o
118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o5$586bobo$586bo$
586bo2b3o4bobo$591bo4bobo$574bo12b4o4bo2bo$574bo5b2o4bobo6b3o$574bo5bo
bo2b3o9bo$580bob2o2b3o6b3o6bo$574b3ob5o5bo13bobo$574b3obo2bo21b2o$574b
2o2b3o$572bo2b2o$572b2ob2o$573b2o3$589b2o$589b2o8$21b2o86b2o118b2o118b
2o118b2o$21b2o86b2o118b2o118b2o118b2o3$581b2o$581b2o2$568bobo$568b2o$
569bo13$589b2o$589b2o6$28b3o$28bo2bo$27bo3bo77b2o118b2o118b2o118b2o$
27bobob2o76b2o118b2o118b2o118b2o$28b2ob2o$19b2o8b3o$19b2o560b2o$581b2o
4$19bo$19bobo$19b2o3$17b2o$17b2o7$21b2o566b2o$21b2o566b2o2$599bo$599b
2o$598bobo4$104bo124b2o118b2o$103b2o124b2o118b2o$102bo369b2o$103b2o6b
2o358b2obo$29b2o72b2ob2o3b2o359bobo106b2o$29b2o72b4o360b2o4b3o105b2o$
101b2ob3o359bob2o3b3o$101b2ob2o360b5obobobo$100bo3b3o363b3obobo$102b3o
bo369b2o$104bo369b3o138bobo$101bo2bo369b2o139b2o$474bo141bo$101b3o$
113b2o350b2o$113b2o350b2o2$2bo$obo$b2o32b2o$35bobo$35bo$21b2o86b2o358b
2o118b2o$21b2o86b2o358b2o68bo49b2o$539b2o$538bobo6$229b2o118b2o$229b2o
118b2o3$29b2o70b2o374b2o102b2o$29b2o70b2o374b2o29bobo70b2o$228b2o201bo
bo74b2o$227bo2bo2b2o114bo81b2o76bo$221b2o7bo2b3o112bo83bo$220b2o3bo4b
2ob3o114bo7bo$152bo67bo2bobo2b4ob3o2bobo3b2o101bo2bo6bobo$150bobo66b2o
b4o9bobo2bo3b3o98b2ob2o6b2o2bo$79bo71b2o67bo3bo8bo7bo3bo89b2o8b2o9bo3b
o$77bobo141bob2o8bo7b2o93b2o4b2o5b2o8b2o$78b2o135bo6b2o10bo100b2o5b2o
14b3o$213b2o20bo6b4o87b3o10bo$214b2o20bo3bo92bo12bo4b2o$95b2o144b4o88b
o12bo3bo$95bobo144bo108b2o$95bo2$479bo$21b2o86b2o118b2o118b2o118b2o8b
2o108b2o$21b2o86b2o118b2o118b2o118b2o7bobo108b2o7$514bo$515bo$513b3o3$
29b2o29bobo38b2o134b2o92bobo7b2o134b2o102b2o$29b2o29b2o39b2o134b2o92b
2o8b2o134b2o102b2o$61bo270bo2$252bo$250bobo$251b2o5$155b2o$155bobo$
155bo2$419bo$419b2o$418bobo$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o
86b2o118b2o118b2o118b2o118b2o12$29b2o206b2o102b2o238b2o$29b2o206b2o
102b2o238b2o3$555bobo$555b2o$556bo5$62bo$60bobo$61b2o5$21b2o86b2o118b
2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$237b2o102b2o
238b2o$237b2o102b2o238b2o12$290b2o$290b2o4$21b2o86b2o118b2o118b2o118b
2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o5$574bo$575bo$573b3o5$237b
2o102b2o238b2o$237b2o102b2o238b2o12$290b2o$290b2o4$21b2o86b2o118b2o
118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$237b2o102b2o$
237b2o102b2o$495bobo$495b2o$496bo5$122bo$120bobo$121b2o2$290b2o$290b2o
4$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b
2o12$237b2o102b2o$237b2o102b2o12$290b2o$290b2o4$21b2o86b2o118b2o118b2o
118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$237b2o102b2o$237b2o
102b2o12$290b2o$290b2o4$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o
118b2o118b2o118b2o118b2o12$237b2o102b2o92bobo$237b2o102b2o92b2o$436bo
5$182bo$180bobo$181b2o4$290b2o$290b2o4$21b2o86b2o118b2o118b2o118b2o
118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$237b2o102b2o$237b2o102b2o
12$290b2o$290b2o4$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o
118b2o118b2o118b2o12$237b2o102b2o$237b2o102b2o12$290b2o$290b2o4$21b2o
86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o10$
375bobo$375b2o$341b2o33bo$341b2o12$290b2o$290b2o4$21b2o86b2o118b2o118b
2o118b2o118b2o$21b2o86b2o118b2o118b2o118b2o118b2o12$341b2o$341b2o12$
290b2o$290b2o4$21b2o86b2o118b2o118b2o118b2o118b2o$21b2o86b2o118b2o118b
2o118b2o118b2o!

Post by **dvgrn** » July 29th, 2014, 10:05 am

New lanes can be achieved on 88:120x4 block trails using the usual pairs of kickbacks, but without a 1R forerake this will quickly get prohibitively expensive.

For the moment there seems to be just one workable 3R forerake, and two backrakes at 1R and 3R:

Code: Select all

[M2] (golly 2.7b1)
#R B3/S23
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$$$$$.......*$.....*.*$......**$
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$......*$....**$.....**$
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...*$.**$..**$
4 0 0 0 3161
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$$$.......*$
$$.*$.*$**$
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6 0 3171 0 3172
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10 2696 2890 3066 3181
11 3182 0 0 0
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13 3184 0 0 0
14 1769 2276 2494 3185

I'll update this pattern if any other options show up.

Post by **codeholic** » July 29th, 2014, 11:07 am

Would it be worth to build another block trail farther to the left instead of the leftmost one in order to make the track more symmetrical? Would it allow more rakes?

Post by **dvgrn** » July 29th, 2014, 11:31 am

codeholic wrote:Would it be worth to build another block trail farther to the left instead of the leftmost one in order to make the track more symmetrical? Would it allow more rakes?

I don't think so. Symmetry doesn't seem to matter much -- the forerakes and backrakes I posted can be adjusted to work either on the 88 side or the 120 side of the trails, so that's not the problem. The 120-spaced trails seem to get in the way of crossing gliders just as badly as the 88-spaced ones.

To get a wider variety of rakes along the lines of the 116:110:90 ones, it would be necessary to build trails with a spacing that allows a kicked-back standard backrake glider to cross all six trails somehow -- or a kicked-back suppression glider to cross all six trails. Or you want to be able to shoot down an extra block in the middle, and allow the glider that would ordinarily kill that block to escape.

There are lots of possibilities, and I may well have missed some, but I haven't found many simple options that work at 88:120x4.

But maybe we don't really need lots of different rakes, anyway. At worst, just with the rakes we have so far, we could fairly easily build six trails at 116:110:90:110:116 off to one side, and then use those trails to build the upship streams.

dvgrn wrote:New lanes can be achieved on 88:120x4 block trails using the usual pairs of kickbacks, but without a 1R forerake this will quickly get prohibitively expensive.

Just to give the competition a good run, I've attached a sample 116:110:90 HWSS rake using the latest recipe. The rake chain shoots gliders at the bi-blocks on lanes 2, 26, 12, 23, 20, 10, and 25.

My algorithm for stringing rakes together is suboptimal in at least two ways. Adjacent rakes aren't adjusted to run as close to each other as possible. I just picked an initial lane at random, because the first two rakes worked out pretty well -- really it makes sense to try all possible initial lanes and see which one allows the shortest rake.

There may also be a way sometimes to reduce the number of rephasers before the next rake -- I have to think a little more about how to adjust the lookup table so that a rake's components can be counted as rephasers.

Post by **codeholic** » July 29th, 2014, 3:27 pm

Have you reconsidered catamaran design after all new components were found? Here's what I came up with.

: 31c240-catamaran.png (3.27 KiB) Viewed 20645 times

Block trails are red, gliders are green, spaceships are blue.

Is it feasible or do I miss something?

EDIT: Ah, yes, I do. Lateral MWSS couldn't produce block trails from gliders coming from that direction, and there is yet no known reaction with a forward glider that produces a lateral HWSS, that would escape the glider stream. But this can be hopefully solved by making each lateral MWSS produce trails on the other side.

: 31c240-catamaran-revised.png (4.23 KiB) Viewed 20639 times

Post by **dvgrn** » July 29th, 2014, 6:43 pm

codeholic wrote:Have you reconsidered catamaran design after all new components were found?

Not seriously -- though I do still like the name "catamaran" and would love to be able to justify it! It still seems simpler to build six trails instead of twelve.

It would probably be simpler still to pick a good initial distance between two trails, where they can be built trivially by colliding reverse forward gliders. Then figure out a workable distance for the next two trails out, and then the last two -- and then build rakes for the resulting set of trails, and use them to build as many *WSSes as are needed to reflect those forward gliders at the front:

Code: Select all

x = 194, y = 284, rule = B3/S23
180b2o$181b2o$180bo6$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$
190bo$190bo$191bobo13$120b2o$121b2o$120bo27$60b2o$61b2o$60bo27$2o$b2o$
o8$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$190bo$190bo$191bob
o81$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$190bo$190bo$191bo
bo81$183b3o$183bo2bo$183bo$183bo$184bobo3b3o$190bo2bo$190bo$190bo$191b
obo!

Last I heard, Calcyman was working on a design somewhat along those lines, but with this messy LWSS+G->B turner reaction instead:

Code: Select all

x = 401, y = 220, rule = B3/S23
b2o$4o$2ob2o$2b2o28$121b2o$120b4o$120b2ob2o$122b2o28$241b2o$240b4o$
240b2ob2o$242b2o28$361b2o$360b4o$360b2ob2o$362b2o34$398b3o$400bo$399bo
27$338b3o$340bo$339bo27$278b3o$280bo$279bo27$218b3o$220bo$219bo!

Haven't heard back for a week or so; I hope he won't mind my attaching the latest partial pattern he sent along, back on July 19th...!

codeholic wrote:Would it be worth to build another block trail farther to the left instead of the leftmost one in order to make the track more symmetrical? Would it allow more rakes?

What kind of flexibility do you have in this new front-end design? Is 120 the minimum distance that works, or could you still do (say) width-58 in some places? Could you build 120x5 instead of 88:120x4?

Post by **codeholic** » July 30th, 2014, 1:53 am

dvgrn wrote:Not seriously -- though I do still like the name "catamaran" and would love to be able to justify it!

Me too

dvgrn wrote:It still seems simpler to build six trails instead of twelve

[...] and then build rakes for the resulting set of trails, and use them to build as many *WSSes as are needed to reflect those forward gliders at the front:

If you say so, it might be simpler to build 12 trails actually. The last design I posted implies only 2 HWSS streams on each side to produce two lateral MWSS, while all forward gliders are fired from the twin unit.

dvgrn wrote:What kind of flexibility do you have in this new front-end design? Is 120 the minimum distance that works, or could you still do (say) width-58 in some places?

With the same fanout devices, no. Fanout spaceships (upward HWSS+MWSS pairs) overlap if you try to build trails with distance of 58 between them. Though some wider distances in the form 120+62N are possible.

dvgrn wrote:Could you build 120x5 instead of 88:120x4?

Yes, but at the cost of 2 additional spaceships. 88 is caused by a custom fanout device you can see in the very front. Though I didn't consider all the options, it could be that by pure luck there is a 58+62N fanout device, I just took the first one that worked out. Here are all 6 fanout devices I found that could work in this environment (I didn't check, what distances they produce when in the pipeline -- except the first one - it produces 88+62N

):

Code: Select all

x = 614, y = 321, rule = B3/S23
b2o198b2o198b2o198b2o$obo197bobo197bobo197bobo$2bo199bo199bo199bo3$13b
o199bo$12b3o197b3o195b3o197b3o$11b2obo196b2obo194bo2bo196bo2bo$11b3o
197b3o198bo199bo$11b3o197b3o198bo195bo3bo$11b3o197b3o195bobo200bo$12b
2o198b2o395bobo7$212bo195b3o201bo$211b3o194bo2bo199b3o$210b2obo194bo
201b2obo$14b3o193b3o195bo3bo197b3o$13bo2bo193b3o195bo202b2o$16bo194b2o
196bobo$12bo3bo$12bo3bo$16bo$13bobo67$13bo199bo$12b3o197b3o195b3o197b
3o$11b2obo196b2obo194bo2bo196bo2bo$11b3o197b3o198bo199bo$11b3o197b3o
198bo195bo3bo$11b3o197b3o195bobo200bo$12b2o198b2o395bobo7$212bo195b3o
201bo$211b3o194bo2bo199b3o$210b2obo194bo201b2obo$14b3o193b3o195bo3bo
197b3o$13bo2bo193b3o195bo202b2o$16bo194b2o196bobo$12bo3bo$12bo3bo$16bo
$13bobo84$b2o398b2o$obo397bobo$2bo399bo3$412bo$10b3o398b3o$9bo2bo398bo
b2o$12bo399b3o$8bo3bo399b3o$12bo399b2o$9bobo7$12bo$11b3o$10b2obo$10b3o
$10b3o$11b2o2$411b3o$410bo2bo$413bo$409bo3bo$409bo3bo$413bo$410bobo63$
412bo$10b3o398b3o$9bo2bo398bob2o$12bo399b3o$8bo3bo399b3o$12bo399b2o$9b
obo7$12bo$11b3o$10b2obo$10b3o$10b3o$11b2o2$411b3o$410bo2bo$413bo$409bo
3bo$409bo3bo$413bo$410bobo!

You can notice, that all input and output gliders are in the same phase. That's not a coincidence. Gliders should be in a particular phase, because they originate from the same source as the lateral HWSS, that transforms them into trails, thus they're coupled. But it also mean that one could roughly quadruple the search space by using another 2G fanout (the one that runs directly on the helix) or another G->lateral HWSS fanout -- whose products are in a different phase. What I mean by this monologue, is that the search space is not exhausted in this regard.

And there is still a fanout device that can produce 56+62N tracks, but that one is not synthesisable with known HWSS recipes.

Post by **codeholic** » July 30th, 2014, 2:12 am

Calcyman's design uses brute force very elegantly!

I like it. It is not the smallest front end that would work with only 4 upward HWSS (i. e. 2 lateral MWSS emitters on each side), but it's definitely the first fully functional one. The only things left are to synthesise those lateral MWSS emitters with HWSS recipe found by chris_c and compiled by Dave, trigger them with another couple of forward gliders, and attach the backend! I'm excited!

Post by **codeholic** » July 30th, 2014, 2:36 am

OFFTOPIC: It is simply beautiful, how it disintegrates:

: 31c240-disintegration.png (6.19 KiB) Viewed 20610 times

Post by **dvgrn** » July 30th, 2014, 8:49 am

codeholic wrote:
dvgrn wrote:It still seems simpler to build six trails instead of twelve

[...] and then build rakes for the resulting set of trails, and use them to build as many *WSSes as are needed to reflect those forward gliders at the front:
If you say so, it might be simpler to build 12 trails actually. The last design I posted implies only 2 HWSS streams on each side to produce two lateral MWSS, while all forward gliders are fired from the twin unit.

Hmm, maybe it's worth putting together a catamaran front end and see if it's really that easy.

Won't it be necessary to widen the spacing between the trails on both sides, to make it possible to fire forward glider streams close enough together to hit the lateral HWSS streams at the right places? And then wider trail spacings imply somewhat taller forward rakes, so I'm not sure how that would work out.

It seems as if you'd also have to pick trails spacings very carefully to avoid collisions between the forward gliders and the block trails -- the lowest glider stream has to cross five block trails but hit the sixth one right where the block is. I don't know if there's a trail spacing that allows that; 116:110:90 was designed so that a glider that misses the first five trails will also miss the sixth. So at the very least, it seems as if new rakes would have to be built for the new trail spacing, whatever it is ((116+62N)x5, possibly? Could build lots of rakes for that spacing.)

Maybe Calcyman's shield bug is a better bet for now...!

Post by **codeholic** » July 30th, 2014, 12:28 pm

What are the restrictions for a R1 forerake to work? (By the way, is there just one type of R1 forerake or more?) I would like to try to build a catamaran front-end. I think it should be smaller than Calcyman's.

Post by **dvgrn** » July 30th, 2014, 1:10 pm

codeholic wrote:What are the restrictions for a R1 forerake to work? (By the way, is there just one type of R1 forerake or more?) I would like to try to build a catamaran front-end. I think it should be smaller than Calcyman's.

Maybe someone can come up with another option, but the only way I know of is the way the current 116:110:90 forerake does it.

If the suppression glider at one edge can kick back the backrake glider so that it goes forward across all six trails without hitting any of them, then you have a 1R forerake. The arithmetic gets a little complicated because at different spacings, the glider stream might pass either in front of or behind the Herschel climbers on trail 2.

At wider trail spacings, you have a lot of leeway to decide where the suppression point will be, which can give you a long enough delay to allow the trail-2 Herschel to get past. Not sure about trails 3 and 4, but I think the stream has to pass in front of those Herschels.

Lots of bonus points if your trail spacing also allows the backrake glider to kick back the suppression glider across all six trails, resulting in a different 1R backrake. I'm not sure this is technically possible -- it's been a while since I did the analysis on 116:110:90, so I can't give a simple parametrization... It's also nice if the center-kickback trick works, from the R1L2B rake.

But the cheap forerake definitely seems more important. Maybe a compact 2R forerake would be good enough; there are a lot more possible options for extracting forward gliders with two interacting rephasers. As you can tell from the 116:110:90 rake collection, though, most of the possible options don't quite work...!

Post by **dvgrn** » July 30th, 2014, 5:42 pm

Looking at 116x5 possibilities just a little more --

The attached pattern is a continuation of a front-end idea posted back in February. It appears that it's possible to complete a fairly compact front end without too much effort, that needs support from six upship streams on each side, 12 total.

31c240-longhorn-beetle-front-end.mc.gz: Longhorn-beetle front end for 116x5 trails; (23.56 KiB) Downloaded 388 times

I think the remaining forward glider streams can fairly easily be connected up to rakes on the 116x5 trails. However, there seems to be a shortage of cheap forward rakes at 116x5 as well -- the best I could come up with was the 4R monstrosity shown in the attached longhorn-beetle pattern.

Now, quite possibly the way to go from here would be to build a 116:110:90:110:116 track, re-using two of the existing trails -- just build four more trails on one side or the other... or both sides, I suppose, if you wanted to build the front end of a catamaran this way.

After that it becomes fairly trivial to shoot down whatever old 116-spaced trails we don't want, and build the twelve HWSS streams with our good rake toolkit.

But that same conversion to 116:110:90 could be done with any set of trails that supports fore- and backrakes, so I'm not sure that this line of research is worth following any farther. Anyone see a way to cut down on the number of upship streams in this design? The idea is to come up with a 31c/240 ship that's shorter and lower population than Calcyman's shield-bug will be.

Post by **codeholic** » August 16th, 2014, 11:05 am

I attached spaceship streams to calcyman's frontend.

https://www.dropbox.com/s/tzebuk5cfobh6 ... man.rle.gz

Post by **dvgrn** » August 19th, 2014, 10:52 am

codeholic wrote:I attached spaceship streams to calcyman's frontend.

Hmm, only four HWSSes away from completion. And it's completely symmetrical, isn't it? We just need to build a two-HWSS rake on one side, and then append a mirrored copy to get the two HWSSes on the other side. This is starting to be very hard to resist.

I was hoping there was a way to use only forward gliders to produce the HWSS streams, starting with a Heisenburp. That would allow for a much shorter ship. But if I recall correctly, the only Heisenburp reactions that produce out-of-the-way slow salvo target junk are backward G+HWSS (?)

EDIT: Ah, no, I suspect I can build a custom forward rake to do something like this:

Code: Select all

x = 124, y = 129, rule = B3/S23
12$102b3o$102bo2bo$102bo$95b2o5bo3bo$96b2o4bo3bo$95bo6bo$103bobo9$82b
2o$83b2o$82bo15$35b2o$36b2o$35bo10$22b2o$23b2o$22bo43$102b3o$102bo2bo$
102bo$102bo3bo$102bo3bo$102bo$103bobo!

Might as well just use two of our known HWSS side-puffers, I suppose -- with a few extra backrakes at the beginning to get a Heisenburp slow-salvo target, and a few more backrakes in the middle to move the leftover junk to the second upship stream construction site. And a couple more at the end to clean up the second round of leftover junk. I think that's everything, since we already have a back-end cleanup for 116:110:90.

The alternative would seem to be adding a third *WSS on each side, so that all construction could be done with forerakes. That would allow for a much shorter ship. Unfortunately adding 50% more upship streams seems to dilute the, um, "brute-force elegance" of Calcyman's front end. Decisions, decisions...!

Post by **dvgrn** » August 22nd, 2014, 11:32 am

dvgrn wrote:... I suspect I can build a custom forward rake to do [a forward Heisenburp]...

Yup, no problem:

Code: Select all

x = 1382, y = 6195, rule = B3/S23
49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o
30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b
2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o
114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b
2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o
108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b
2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o
88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b
2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o
108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b
2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$
49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b
2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o
114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b
2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o
108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b
2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o
88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b
2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o
108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b
2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o
114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b
2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$
49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o
30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b
2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o
114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b
2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o
108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b
2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o
88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b
2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o
108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b
2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$
49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b
2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o
114b2o$49b2o114b2o108b2o88b2o108b2o114b2o6$49bo$49bobo$48b2obo$44b2o2b
o8bo529b3o$43b6o6b2obo2b3o523b3o$42bo4b2ob4ob2o2bob2ob2o519b2o3bo$43b
2ob2o2b4o2bo2b2obo2bo519bo3b2o$44b3o7bo2bo2bo2b3o519bo3bo$57bobo526bo
2bo$587b3o$588bobo$589b2o4$49b2o540b2o$49b2o540b2o4$581bo$580bo$580b3o
2$165b2o108b2o88b2o108b2o$65bo99b2o108b2o88b2o108b2o$63bobo$64b2o$57b
2o524b2o$57b2o524b2o17$49b2o540b2o$49b2o540b2o8$165b2o108b2o88b2o108b
2o$165b2o108b2o88b2o108b2o3$57b2o524b2o$57b2o524b2o17$49b2o540b2o$49b
2o540b2o4$37b2o$37bobo$37bo127bo$164bobo$166bo108b2o88b2o$163bo111b2o
88b2o108b2obo175bobo$163bob2o308bo2b2o175b2o$165bobo307bo2b5o172bo$57b
2o108b2o306bobo3bo101b2o$57b2o107bobo306b3o2bobo100b2o$161b3o3bobo305b
3o2bobo$161b2o2bo3bo310bobo6b2o$161b3ob2o2bo312bo6b4o$165b3o319b2o3b2o
$486bob3ob3o$467b2o16b2obo$462bo4bo19bo$462bo5bo$169b2o291b3ob3ob2o$
169b2o293bob3ob2o2b2o$464bo4b3o4bo$473bobo$470bob3o$471bo$454bo$453bo$
49b2o114b2o286b3o19b2o114b2o$49b2o114b2o308b2o114b2o2$97b2o93bo328bo$
97bobo90bobo327bo$97bo93b2o327b3o3$125bo$123bobo149b2o88b2o$124b2o149b
2o88b2o3$57b2o98b2o324b2o98b2o$57b2o98b2o324b2o98b2o9$503bo$504b2o$
503b2o2$279bo$132bobo143b3o$132b2o143bo2b2o$133bo143bo$49b2o114b2o111b
o79bo116b2o114b2o$49b2o106b2o6b2o115bo74b3o115b2o114b2o$157bobo120bobo
77bo$157bo123b2o75b2o$359bo8$367b2o$57b2o98b2o124b2o72b2o8b2o114b2o98b
2o$57b2o98b2o124b2o72b2o124b2o98b2o5$369bo$368b3o$367b2ob2o$366b3o$
367bob2o$368b2o$369bo5$217b2o$49b2o114b2o50bobo55b2o88b2o108b2o114b2o$
49b2o114b2o50bo57b2o88b2o108b2o114b2o7$714bobo$715b2o$715bo3$57b2o224b
2o72b2o224b2o$57b2o224b2o72b2o224b2o17$49b2o114b2o108b2o88b2o108b2o
114b2o$49b2o114b2o108b2o88b2o108b2o114b2o12$57b2o224b2o72b2o224b2o$57b
2o224b2o72b2o224b2o7$563bo$564b2o$563b2o2$304bo$72bobo229bobo$72b2o
230b2o$73bo2$342bo$49b2o114b2o108b2o63bobo22b2o108b2o114b2o$49b2o114b
2o108b2o64b2o22b2o108b2o114b2o12$57b2o224b2o72b2o224b2o$57b2o224b2o72b
2o224b2o17$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o
108b2o114b2o5$774bobo$775b2o$775bo23$49b2o114b2o108b2o88b2o108b2o114b
2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o
114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b
2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o3$834bobo$835b2o$835bo25$
49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o
30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b
2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o
114b2o$894bobo$895b2o$895bo27$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o
361bobo$49b2o114b2o108b2o88b2o108b2o114b2o362b2o$955bo29$49b2o114b2o
108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b
2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o28$1014bob
o$1015b2o$49b2o114b2o108b2o88b2o108b2o114b2o422bo$49b2o114b2o108b2o88b
2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o
88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b
2o88b2o108b2o114b2o26$1074bobo$1075b2o$1075bo2$49b2o114b2o108b2o88b2o
108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b
2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o
88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o24$1134bobo$1135b
2o$1135bo4$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o
108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b
2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o
88b2o108b2o114b2o22$1194bobo$1195b2o$1195bo6$49b2o114b2o108b2o88b2o
108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b
2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o
88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o20$1254bobo$1255b
2o$1255bo8$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o
108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b
2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o
88b2o108b2o114b2o18$1314bobo$1315b2o$1315bo10$49b2o114b2o108b2o88b2o
108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b
2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o7$1310b3o$1312bo$
1311bo21$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b
2o114b2o5$1250b3o$1252bo$1251bo7$1304bo$1303bo$1303b3o14$49b2o114b2o
108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o3$1190b3o$
1192bo$1191bo25$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o
88b2o108b2o114b2o$1130b3o$1132bo$1131bo27$49b2o114b2o108b2o88b2o108b2o
114b2o477b3o$49b2o114b2o108b2o88b2o108b2o114b2o479bo$1071bo11$1244bo$
1243bo$1243b3o14$1010b3o$1012bo$49b2o114b2o108b2o88b2o108b2o114b2o418b
o$49b2o114b2o108b2o88b2o108b2o114b2o26$950b3o$952bo$951bo2$49b2o114b2o
108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o24$890b3o$
892bo$891bo4$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o
108b2o114b2o10$1184bo$1183bo$1183b3o10$830b3o$832bo$831bo6$49b2o114b2o
108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o20$770b3o$
772bo$771bo8$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o
108b2o114b2o18$710b3o$712bo$711bo10$49b2o114b2o108b2o88b2o108b2o114b2o
$49b2o114b2o108b2o88b2o108b2o114b2o8$1124bo$1123bo$1123b3o6$650b3o$
652bo$651bo12$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b
2o108b2o114b2o14$590b3o$592bo$591bo14$49b2o114b2o108b2o88b2o108b2o114b
2o$49b2o114b2o108b2o88b2o108b2o114b2o12$530b3o$532bo$531bo16$49b2o114b
2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o6$1064bo$
1063bo$1063b3o2$470b3o$472bo$471bo18$49b2o114b2o108b2o88b2o108b2o114b
2o$49b2o114b2o108b2o88b2o108b2o114b2o8$410b3o$412bo$411bo20$49b2o114b
2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o6$350b3o$
352bo$351bo22$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b
2o108b2o114b2o4$290b3o711bo$292bo710bo$291bo711b3o24$49b2o114b2o108b2o
88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o2$230b3o$232bo$
231bo26$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o3b3o102b2o88b2o
108b2o114b2o$172bo$171bo27$110b3o$112bo52b2o108b2o88b2o108b2o$54b2o55b
o53b2o108b2o88b2o108b2o107b2o$55b2o525b3o$47b2o4bobo526b2o9b2o349bo$
47b2o4b2o526b2o10b2o348bo$54bo527bob2o357b3o$55b2o2bo523b3o3bobo$53bob
2obo525bo5b2o$52bo3b2obo530bo$53bo2b2o2$55bo3bo$56b3o2$45b2o548b2o$45b
2o548b2o7$49b2o540b2o$49b2o540b2o5$50b3o$52bo$51bo$165b2o108b2o88b2o
108b2o$165b2o108b2o88b2o108b2o3$57b2o524b2o$57b2o524b2o4$8bo$7bo$7b3o
4$639bo$637bobo$638b2o2$642bo$642b2o$641bobo$49b2o540b2o$49b2o540b2o$
4bo$3b2o$3bobo5$165b2o108b2o88b2o108b2o$165b2o108b2o88b2o108b2o2$97bo$
57b2o39b2o483b2o$57b2o38b2o484b2o4$478bo58bobo$477b5o55b2o$476b2obo3bo
54bo$475b2o2bo4bo$476b2o2bo3bo$482b3o3$162bo314b2o103bo796b3o$161b3o
313b2o103b2o794bo2bo$160bo2b2o312bo103bobo797bo$160b3obo1208bo3bo3bo$
163b2o1208b2o2bo3bo$49b2o13bo410b2o114b2o779bobo6bo$49b2o12b2o94bo315b
2o114b2o785bobo$63bobo92bo$158b3o3$487bo$488bo$486b3o$275b2o88b2o$275b
2o88b2o517bo465b3o$883bo468bo$883b3o465bo$57b2o98b2o324b2o98b2o$57b2o
98b2o324b2o98b2o10$522bo$522b2o$521bobo$1313bo$1313b2o$124bo1187bobo$
123b2o$49b2o72bobo39b2o308b2o114b2o$49b2o114b2o308b2o114b2o7$1290b3o$
1292bo$1291bo$278bo83b3o$272b3o86bo2bo$57b2o98b2o119bobo82b2o118b2o98b
2o$57b2o98b2o112bo3bo3b2o82bo2b3o114b2o98b2o$272bobo4bo4bo74bo3bobo3bo
$273bo10bo74bo3bo5bo$284bo74bo3bobob2o$358bo2b2obo$358bo2bo$359bo2bo$
360b2o$462bo$271b2o96b2o91b2o$271b2o96b2o90bobo$1253bo$1253b2o$184bo
1067bobo$183b2o$183bobo2$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b
2o108b2o88b2o108b2o114b2o5$224bobo1003b3o$225b2o1005bo$225bo1005bo$
157bo$155b2obo83bo$155b2o85bobo165bobo$155bo86b2o166b2o$57b2o97b2o125b
2o72b2o52bo171b2o$57b2o98bo125b2o72b2o224b2o$404bo$402bobo$403b2o5$
1379b3o$1193bo184bo2bo$1193b2o186bo$1192bobo182bo3bo$1377bo3bo$1381bo$
1378bobo2$99bo$49b2o47bo66b2o108b2o88b2o108b2o114b2o$49b2o47b3o64b2o
108b2o88b2o108b2o114b2o3$314bobo230bo622b3o$315b2o231bo623bo$315bo230b
3o622bo2$824bo$320bobo500bo$320b2o501b3o$321bo2$57b2o224b2o72b2o224b2o
$57b2o224b2o72b2o224b2o7$1133bo$1133b2o$1132bobo8$49b2o114b2o108b2o88b
2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o$1110b3o$1112bo$1111b
o9$57b2o224b2o72b2o224b2o$57b2o224b2o72b2o224b2o5$1073bo$1073b2o$1072b
obo10$49b2o114b2o108b2o88b2o108b2o114b2o457b3o$49b2o114b2o108b2o88b2o
108b2o114b2o459bo$1051bo15$1013bo$1013b2o364b3o$1012bobo363bo2bo$1381b
o$1377bo3bo$1377bo3bo$1381bo$1378bobo5$990b3o$992bo$49b2o114b2o108b2o
88b2o108b2o114b2o398bo$49b2o114b2o108b2o88b2o108b2o114b2o5$764bo$763bo
$763b3o7$953bo$953b2o$952bobo10$930b3o$932bo$931bo2$49b2o114b2o108b2o
88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o12$893bo$893b2o$
892bobo10$870b3o$872bo$871bo4$54b3o108b2o108b2o88b2o108b2o$165b2o108b
2o88b2o108b2o$586bo$47b2o8b2o526b2obo4b2o$47b2o3bo3b3o524b6o4b2o$52bob
o2b2o523bo2bo$52b2o528bobo$587bo$581bobob3o$581bo5bo$583b3o$583b3o247b
o$833b2o$832bobo$45b2o548b2o782b3o$45b2o548b2o781bo2bo$1381bo$1377bo3b
o$1377bo3bo$1381bo$1378bobo2$49b2o540b2o$49b2o540b2o217b3o$812bo$811bo
6$165b2o108b2o88b2o108b2o$165b2o108b2o88b2o108b2o3$57b2o524b2o119bo$
57b2o524b2o118bo$703b3o3$631bobo139bo$632b2o139b2o$632bo139bobo2$5bo$
3b2o$4b2o6$2o748b3o$obo46b2o540b2o159bo$o48b2o540b2o158bo8$165b2o108b
2o88b2o108b2o$165b2o108b2o88b2o108b2o$544bo$543bo$57b2o484b3o37b2o$57b
2o524b2o2$102bo610bo$100bobo610b2o$101b2o609bobo2$162bo$161b3o$160b2ob
2o$160bo2$162bo$162b2o$161bob2o$60b2o417b2o209b3o$60bobo415bobo211bo$
60bo416b2o212bo$49b2o114bo313bo111b2o$49b2o114b2o312bobo109b2o$481b2o$
480b3o2$155bobo$155b2o$156bo2$275b2o88b2o$275b2o88b2o3$57b2o98b2o324b
2o98b2o$57b2o98b2o324b2o98b2o68bo$653b2o$652bobo3$1379b3o$1378bo2bo$
1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo$120b2o$120bobo$120bo3$49b2o
114b2o308b2o114b2o$49b2o114b2o308b2o114b2o5$368bo$364b2ob3o$363bo5bo$
362bo4b4o$362bo7bo$361b2o2b2o3bo$362bobo5bo222bo$57b2o98b2o119bo84bo2b
ob2o113b2o98b2o8b2o$57b2o98b2o118bobo203b2o98b2o7bobo$273bo2b2ob2o84b
2ob2o$273bo3bobo76b3o8bo$273bo5bob2o$278b2ob2o$280bo4$271b2o96b2o$180b
2o89b2o96b2o$180bobo$180bo5$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o3$417bo$157bo258bo$156bobo257b3o$155bo$
156bo3bo235bo$156bo4bo67bo167b2o85bo$162bo64bobo166b2o85bobo47bo$228b
2o253b2o48b2o$157bo326bo47bobo$57b2o101bo79bo42b2o72b2o125bo98b2o$57b
2o179b2o43b2o72b2o125bo98b2o$239b2o14$540bo$541b2o$49b2o114b2o108b2o
88b2o108b2o63b2o49b2o$49b2o114b2o108b2o88b2o108b2o114b2o$327bo$95bobo
229bobo$95b2o230b2o$96bo2$319bo$317bobo153bo$318b2o153b2o$472bobo3$57b
2o224b2o72b2o224b2o$57b2o224b2o72b2o224b2o$1379b3o$1378bo2bo$1381bo$
1377bo3bo$1377bo3bo$1381bo$1378bobo10$49b2o114b2o108b2o88b2o108b2o114b
2o$49b2o114b2o108b2o88b2o108b2o114b2o5$413bo$413b2o$412bobo5$57b2o224b
2o72b2o224b2o$57b2o224b2o72b2o224b2o17$49b2o114b2o108b2o88b2o108b2o
114b2o$49b2o114b2o108b2o88b2o108b2o114b2o3$353bo$353b2o$352bobo25$49b
2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o$
293bo$293b2o$292bobo7$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$
1381bo$1378bobo14$49b2o114b2o66bo41b2o88b2o108b2o114b2o$49b2o114b2o66b
2o40b2o88b2o108b2o114b2o$232bobo27$173bo$173b2o$49b2o114b2o5bobo100b2o
88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o26$113bo$113b2o$
55bo56bobo$55bo$56bo108b2o108b2o88b2o108b2o106b3o$56b2o107b2o108b2o88b
2o108b2o105bo2bo$54bo3bo523b2obo$47b2o4bo539b2o$47b2o4bo4bo534b2o$54b
4o$55bo$1379b3o$593bo784bo2bo$591bobo787bo$592b2o783bo3bo$1377bo3bo$
1381bo$57b3o1318bobo$45b2o11b2o535b2o$45b2o10bo537b2o7$49b2o540b2o$49b
2o540b2o2$53bo$53b2o$52bobo4$165b2o108b2o88b2o108b2o$165b2o108b2o88b2o
108b2o3$57b2o524b2o$57b2o524b2o7$5bobo$5b2o$6bo8$b2o46b2o540b2o$bobo
45b2o540b2o$bo7$165b2o108b2o88b2o108b2o$165b2o108b2o88b2o108b2o3$57b2o
524b2o$57b2o41bo482b2o$101bo$99b3o2$474b3o$472b2ob2o8bo$471bo6bo5b4o
47bo$471bo5b2o2bob4obo46bobo$161b3o307b2o7bo7b2o45b2o$161bobo314bobo3b
ob3o$159bo3bo309bo4bo2bobo2b2o96b2o$159bob2o2bo309b2o106bobo$159bo3bo
421bo$161b2o$167bo$61b2o98bo5bo$61bobo97bo4bo$49b2o10bo102b3o308b2o
114b2o$49b2o424b2o114b2o3$156bobo$156b2o$157bo3$275b2o88b2o121bobo$
275b2o88b2o122b2o$489bo$1379b3o$57b2o98b2o324b2o98b2o793bo2bo$57b2o98b
2o324b2o98b2o796bo$1377bo3bo$1377bo3bo$1381bo$1378bobo4$524b2o$523bobo
$525bo3$121b2o$121bobo$121bo2$49b2o114b2o308b2o114b2o$49b2o114b2o308b
2o114b2o9$362b2o$362b3o$280bobo76b2o2b2o2b2o$57b2o98b2o123bo75b3o6b2o
114b2o98b2o$57b2o98b2o119bo3bo74bo3bo121b2o98b2o$273bo4bo78b3o$273bo4b
o2bo74bo4bo$273bo5b3o74b2ob2o$356bo3bo$357b3o$464b2o$463bobo$465bo$
271b2o96b2o$271b2o96b2o$181b2o$181bobo$181bo4$49b2o114b2o108b2o88b2o
108b2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o7$157bo70bo$156b3o67bob
o$155b2o2bo67b2o$154b2o2b3o$153b3o3bo81bo$57b2o180b2o42b2o72b2o49bo
174b2o$57b2o98bo82b2o41b2o72b2o49bobo172b2o$408b2o2$405bo$406b2o$405b
2o12$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b2o108b2o88b2o108b2o
114b2o$96bobo$96b2o$97bo2$318bo$316bobo229bobo$317b2o230b2o828b3o$549b
o828bo2bo$1381bo$318bo1058bo3bo$318bobo1056bo3bo$57b2o224b2o33b2o37b2o
224b2o796bo$57b2o224b2o72b2o224b2o793bobo17$49b2o114b2o108b2o88b2o108b
2o114b2o$49b2o114b2o108b2o88b2o108b2o114b2o12$57b2o224b2o72b2o224b2o$
57b2o224b2o72b2o224b2o17$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b
2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o3$1379b3o$1378bo2bo$1381bo$1377bo3bo$
1377bo3bo$1381bo$1378bobo21$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o
786b3o$49b2o114b2o108b2o88b2o108b2o114b2o785bo2bo$1381bo$1377bo3bo$
1377bo3bo$1381bo$1378bobo25$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o26$1379b3o$1378bo2bo$1381bo$1377bo3bo$
49b2o114b2o108b2o88b2o108b2o114b2o784bo3bo$49b2o114b2o108b2o88b2o108b
2o114b2o788bo$1378bobo29$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o114b
2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o22$1379b3o$1378bo2bo$1381bo$1377bo3bo$
1377bo3bo$1381bo$1378bobo2$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$
49b2o114b2o108b2o88b2o108b2o114b2o18$1379b3o$1378bo2bo$1381bo$1377bo3b
o$1377bo3bo$1381bo$1378bobo6$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$
49b2o114b2o108b2o88b2o108b2o114b2o14$1379b3o$1378bo2bo$1381bo$1377bo3b
o$1377bo3bo$1381bo$1378bobo10$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$
49b2o114b2o108b2o88b2o108b2o114b2o10$1379b3o$1378bo2bo$1381bo$1377bo3b
o$1377bo3bo$1381bo$1378bobo14$49b2o114b2o108b2o88b2o108b2o114b2o$49b2o
114b2o108b2o88b2o108b2o114b2o30$49b2o114b2o108b2o88b2o108b2o114b2o$49b
2o114b2o108b2o88b2o108b2o114b2o37$1379b3o$1378bo2bo$1381bo$1377bo3bo$
1377bo3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo
3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$
1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$
1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bob
o83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo83$
1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo83$1379b3o
$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo83$1379b3o$1378bo
2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$
1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$
1377bo3bo$1377bo3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo
3bo$1377bo3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$
1377bo3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo
3bo$1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$
1381bo$1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$
1378bobo83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bob
o83$1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo83$
1379b3o$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo83$1379b3o
$1378bo2bo$1381bo$1377bo3bo$1377bo3bo$1381bo$1378bobo!

That gives us a target on each side to shoot at with forward rakes. Next step is to find a good S or E HWSS recipe that can build the inside HWSS while the outside HWSS stream is present, and then work out a set of rakes for that recipe. Am I missing any critical details?

If the block turns out to be awkwardly close to the HWSS stream, lots of other possible targets can be generated by advancing or delaying the final forerake.

EDIT: I've added block-puffer Heisenburp reactions on both sides -- see attached.

shield-bug-with-Heisenburps.mc.gz: Calcyman's shield-bug front end with Heisenburped forerake targets added; (402.09 KiB) Downloaded 367 times

Now it's just a matter of adding a series of forerakes to slow-construct the inner HWSS streams starting from the blocks, and then slow-construct the outer HWSS streams starting with the leftover junk from the first construction. Forerake constructions are new territory, pretty much -- does anyone have suggestions as to what recipes should be used?

Extrementhusiast · Post by **Extrementhusiast** » August 22nd, 2014, 5:57 pm

dvgrn wrote:Forerake constructions are new territory, pretty much -- does anyone have suggestions as to what recipes should be used?

If I'm understanding you correctly, perhaps something like this?

Code: Select all

x = 84, y = 25, rule = B3/S23
2bobo$3b2o$3bo$11b2o$b2o8b2o$o2bo37bo18bo$o2bo36bo20bo$b2o7b2o27bo22bo
$10b2o27bo22bo$38bo24bo$38bo8b2o14bo$26b2o10bo13b2o9bo$23bo3bo10bo10bo
3bo9bo$23b4o11bo10b4o10bo$38bo8bo15bo15b3o$25b2o11bo8bo3b2o10bo15bo2bo
$25b2o12bo11b2o9bo16bo$b2o36bo22bo16bo3bo$o2bo36bo20bo17bo3bo$o2bo7b2o
28bo18bo18bo$b2o8b2o67bobo2$3bo$3b2o5b2o$2bobo5b2o!

The two sparks would have to be generated by some method.

Post by **dvgrn** » August 22nd, 2014, 6:15 pm

Extrementhusiast wrote:If I'm understanding you correctly, perhaps something like this? ...
The two sparks would have to be generated by some method.

Hmm... in general it's nontrivial to build simultaneous sparks with a slow salvo.

A more serious problem is that the intermediate object would get in the way of other HWSSes in the upship stream. The way it has t be done at 31c/240, each HWSS passes through the construction site of every later HWSS in the series.

Since we're building the HWSSes incrementally with slow salvos, every intermediate stage has to be transparent to passing HWSSes (!). Oddly enough, this is actually possible, but rather tricky.

Post by **dvgrn** » August 24th, 2014, 12:58 pm

dvgrn wrote:Since we're building the HWSSes incrementally with slow salvos, every intermediate stage has to be transparent to passing HWSSes (!). Oddly enough, this is actually possible, but rather tricky.

Here's a proof-of-concept forward salvo with a total of 29 gliders, starting from the Heisenburped block in the latest version of the shield-bug front end:

Code: Select all

x = 9420, y = 18821, rule = B3/S23
53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$
53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$
53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$
53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$
53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$53b2o$53b2o30$
53b2o$53b2o16$2o$2o13$53b2o$53b2o30$53b2o$53b2o24$72b3o$72bo$73bo27$
132b3o$132bo$133bo27$192b3o$192bo$193bo27$252b3o$252bo$253bo27$312b3o$
312bo$313bo27$372b3o$372bo$373bo27$432b3o$432bo$433bo27$492b3o$492bo$
493bo27$552b3o$552bo$553bo18$334b2o$334bobo$334bo7$612b3o$612bo$613bo
18$394b2o$394bobo$394bo7$672b3o$672bo$673bo18$454b2o$454bobo$454bo7$
732b3o$732bo$733bo18$514b2o$514bobo$514bo7$792b3o$792bo$793bo18$574b2o
$574bobo$574bo7$852b3o$852bo$853bo18$634b2o$634bobo$634bo7$912b3o$912b
o$913bo18$694b2o$694bobo$694bo7$972b3o$972bo$973bo18$754b2o$754bobo$
754bo7$1032b3o$1032bo$1033bo18$814b2o$814bobo$814bo7$1092b3o$1092bo$
1093bo18$874b2o$874bobo$874bo7$1152b3o$1152bo$1153bo11$609b2o$609bobo$
609bo5$934b2o$934bobo$934bo7$1212b3o$1212bo$1213bo11$669b2o$669bobo$
669bo5$994b2o$994bobo$994bo7$1272b3o$1272bo$1273bo11$729b2o$729bobo$
729bo5$1054b2o$1054bobo$1054bo7$1332b3o$1332bo$1333bo11$789b2o$789bobo
$789bo5$1114b2o$1114bobo$1114bo7$1392b3o$1392bo$1393bo11$849b2o$849bob
o$849bo5$1174b2o$1174bobo$1174bo7$1452b3o$1452bo$1453bo11$909b2o$909bo
bo$909bo5$1234b2o$1234bobo$1234bo7$1512b3o$1512bo$1513bo11$969b2o$969b
obo$969bo5$1294b2o$1294bobo$1294bo7$1572b3o$1572bo$1573bo11$1029b2o$
1029bobo$1029bo5$1354b2o$1354bobo$1354bo7$1632b3o$1632bo$1633bo11$
1089b2o$1089bobo$1089bo5$1414b2o$1414bobo$1414bo7$1692b3o$1692bo$1693b
o11$1149b2o$1149bobo$1149bo4$884b2o$884bobo587b2o$884bo589bobo$1474bo
20$1209b2o$1209bobo$1209bo4$944b2o$944bobo587b2o$944bo589bobo$1534bo
20$1269b2o$1269bobo$1269bo4$1004b2o$1004bobo587b2o$1004bo589bobo$1594b
o20$1329b2o$1329bobo$1329bo4$1064b2o$1064bobo587b2o$1064bo589bobo$
1654bo20$1389b2o$1389bobo$1389bo4$1124b2o$1124bobo587b2o$1124bo589bobo
$1714bo20$1449b2o$1449bobo$1449bo4$1184b2o$1184bobo587b2o$1184bo589bob
o$1774bo20$1509b2o$1509bobo$1509bo4$1244b2o$1244bobo587b2o$1244bo589bo
bo$1834bo20$1569b2o$1569bobo$1569bo4$1304b2o$1304bobo587b2o$1304bo589b
obo$1894bo20$1629b2o$1629bobo$1629bo4$1364b2o$1364bobo587b2o$1364bo
589bobo$1954bo20$1689b2o$1689bobo$1689bo4$1424b2o$1424bobo$1424bo21$
1749b2o$1749bobo$1749bo4$1484b2o$1484bobo$1189b2o293bo$1189bobo$1189bo
19$1809b2o$1809bobo$1809bo4$1544b2o$1544bobo$1249b2o293bo$1249bobo$
1249bo19$1869b2o$1869bobo$1869bo4$1604b2o$1604bobo$1309b2o293bo$1309bo
bo$1309bo19$1929b2o$1929bobo$1929bo4$1664b2o$1664bobo$1369b2o293bo$
1369bobo$1369bo19$1989b2o$1989bobo$1989bo4$1724b2o$1724bobo$1429b2o
293bo$1429bobo$1429bo19$2049b2o$2049bobo$2049bo4$1784b2o$1784bobo$
1489b2o293bo$1489bobo$1489bo19$2109b2o$2109bobo$2109bo4$1844b2o$1844bo
bo$1549b2o293bo$1549bobo$1549bo19$2169b2o$2169bobo$2169bo4$1904b2o$
1904bobo$1609b2o293bo$1609bobo$1609bo19$2229b2o$2229bobo$2229bo4$1964b
2o$1964bobo$1669b2o293bo$1669bobo$1669bo25$2024b2o$2024bobo$1729b2o
293bo$1729bobo$1729bo14$1469b2o$1469bobo$1469bo9$2084b2o$2084bobo$
1789b2o293bo$1789bobo$1789bo14$1529b2o$1529bobo$1529bo9$2144b2o$2144bo
bo$1849b2o293bo$1849bobo$1849bo14$1589b2o$1589bobo$1589bo9$2204b2o$
2204bobo$1909b2o293bo$1909bobo$1909bo14$1649b2o$1649bobo$1649bo9$2264b
2o$2264bobo$1969b2o293bo$1969bobo$1969bo14$1709b2o$1709bobo$1709bo9$
2324b2o$2324bobo$2029b2o293bo$2029bobo$2029bo14$1769b2o$1769bobo$1769b
o9$2384b2o$2384bobo$2089b2o293bo$2089bobo$2089bo14$1829b2o$1829bobo$
1829bo9$2444b2o$2444bobo$2149b2o293bo$2149bobo$2149bo14$1889b2o$1889bo
bo$1889bo9$2504b2o$2504bobo$2209b2o293bo$2209bobo$2209bo14$1949b2o$
1949bobo$1949bo11$2269b2o$2269bobo$2269bo14$2009b2o$2009bobo$2009bo11$
2329b2o$2329bobo$2329bo5$1740b3o$1740bo$1741bo7$2069b2o$2069bobo$2069b
o11$2389b2o$2389bobo$2389bo5$1800b3o$1800bo$1801bo7$2129b2o$2129bobo$
2129bo11$2449b2o$2449bobo$2449bo5$1860b3o$1860bo$1861bo7$2189b2o$2189b
obo$2189bo11$2509b2o$2509bobo$2509bo5$1920b3o$1920bo$1921bo7$2249b2o$
2249bobo$2249bo11$2569b2o$2569bobo$2569bo5$1980b3o$1980bo$1981bo7$
2309b2o$2309bobo$2309bo11$2629b2o$2629bobo$2629bo5$2040b3o$2040bo$
2041bo7$2369b2o$2369bobo$2369bo11$2689b2o$2689bobo$2689bo5$2100b3o$
2100bo$2101bo7$2429b2o$2429bobo$2429bo11$2749b2o$2749bobo$2749bo5$
2160b3o$2160bo$2161bo7$2489b2o$2489bobo$2489bo11$2809b2o$2809bobo$
2809bo5$2220b3o$2220bo$2221bo7$2549b2o$2549bobo$2549bo18$2280b3o$2280b
o$2000b3o278bo$2000bo$2001bo5$2609b2o$2609bobo$2609bo18$2340b3o$2340bo
$2060b3o278bo$2060bo$2061bo5$2669b2o$2669bobo$2669bo18$2400b3o$2400bo$
2120b3o278bo$2120bo$2121bo5$2729b2o$2729bobo$2729bo18$2460b3o$2460bo$
2180b3o278bo$2180bo$2181bo5$2789b2o$2789bobo$2789bo18$2520b3o$2520bo$
2240b3o278bo$2240bo$2241bo5$2849b2o$2849bobo$2849bo18$2580b3o$2580bo$
2300b3o278bo$2300bo$2301bo5$2909b2o$2909bobo$2909bo18$2640b3o$2640bo$
2360b3o278bo$2360bo$2361bo5$2969b2o$2969bobo$2969bo18$2700b3o$2700bo$
2420b3o278bo$2420bo$2421bo5$3029b2o$3029bobo$3029bo18$2760b3o$2760bo$
2480b3o278bo$2480bo$2481bo5$3089b2o$3089bobo$3089bo17$2268b3o$2268bo
551b3o$2269bo550bo$2540b3o278bo$2540bo$2541bo24$2328b3o$2328bo551b3o$
2329bo550bo$2600b3o278bo$2600bo$2601bo24$2388b3o$2388bo551b3o$2389bo
550bo$2660b3o278bo$2660bo$2661bo24$2448b3o$2448bo551b3o$2449bo550bo$
2720b3o278bo$2720bo$2721bo24$2508b3o$2508bo551b3o$2509bo550bo$2780b3o
278bo$2780bo$2781bo24$2568b3o$2568bo551b3o$2569bo550bo$2840b3o278bo$
2840bo$2841bo24$2628b3o$2628bo551b3o$2629bo550bo$2900b3o278bo$2900bo$
2901bo24$2688b3o$2688bo551b3o$2689bo550bo$2960b3o278bo$2960bo$2961bo
24$2748b3o$2748bo551b3o$2749bo550bo$3020b3o278bo$3020bo$3021bo23$2527b
3o$2527bo280b3o$2528bo279bo551b3o$2809bo550bo$3080b3o278bo$3080bo$
3081bo23$2587b3o$2587bo280b3o$2588bo279bo$2869bo$3140b3o$3140bo$3141bo
23$2647b3o$2647bo280b3o$2648bo279bo$2929bo$3200b3o$3200bo$3201bo23$
2707b3o$2707bo280b3o$2708bo279bo$2989bo$3260b3o$3260bo$3261bo23$2767b
3o$2767bo280b3o$2768bo279bo$3049bo$3320b3o$3320bo$3321bo23$2827b3o$
2827bo280b3o$2828bo279bo$3109bo$3380b3o$3380bo$3381bo23$2887b3o$2887bo
280b3o$2888bo279bo$3169bo$3440b3o$3440bo$3441bo23$2947b3o$2947bo280b3o
$2948bo279bo$3229bo$3500b3o$3500bo$3501bo23$3007b3o$3007bo280b3o$3008b
o279bo$3289bo$3560b3o$3560bo$3561bo23$3067b3o$3067bo280b3o$3068bo279bo
$3349bo$3620b3o$3620bo$3621bo7$2789b3o$2789bo$2790bo14$3127b3o$3127bo
280b3o$3128bo279bo$3409bo10$2849b3o$2849bo$2850bo14$3187b3o$3187bo280b
3o$3188bo279bo$3469bo10$2909b3o$2909bo$2910bo14$3247b3o$3247bo280b3o$
3248bo279bo$3529bo10$2969b3o$2969bo$2970bo14$3307b3o$3307bo280b3o$
3308bo279bo$3589bo10$3029b3o$3029bo$3030bo14$3367b3o$3367bo280b3o$
3368bo279bo$3649bo10$3089b3o$3089bo$3090bo14$3427b3o$3427bo280b3o$
3428bo279bo$3709bo10$3149b3o$3149bo$3150bo14$3487b3o$3487bo280b3o$
3488bo279bo$3769bo10$3209b3o$3209bo$3210bo14$3547b3o$3547bo280b3o$
3548bo279bo$3829bo10$3269b3o$3269bo$3270bo14$3607b3o$3607bo280b3o$
3608bo279bo$3889bo10$3329b3o$3329bo$3330bo9$3071b3o$3071bo$3072bo3$
3667b3o$3667bo$3668bo11$3389b3o$3389bo$3390bo9$3131b3o$3131bo$3132bo3$
3727b3o$3727bo$3728bo11$3449b3o$3449bo$3450bo9$3191b3o$3191bo$3192bo3$
3787b3o$3787bo$3788bo11$3509b3o$3509bo$3510bo9$3251b3o$3251bo$3252bo3$
3847b3o$3847bo$3848bo11$3569b3o$3569bo$3570bo9$3311b3o$3311bo$3312bo3$
3907b3o$3907bo$3908bo11$3629b3o$3629bo$3630bo9$3371b3o$3371bo$3372bo3$
3967b3o$3967bo$3968bo11$3689b3o$3689bo$3690bo9$3431b3o$3431bo$3432bo3$
4027b3o$4027bo$4028bo11$3749b3o$3749bo$3750bo9$3491b3o$3491bo$3492bo3$
4087b3o$4087bo$4088bo11$3809b3o$3809bo$3810bo9$3551b3o$3551bo$3552bo3$
4147b3o$4147bo$4148bo11$3869b3o$3869bo$3870bo9$3611b3o$3611bo$3612bo
11$3343b3o$3343bo$3344bo3$3929b3o$3929bo$3930bo9$3671b3o$3671bo$3672bo
11$3403b3o$3403bo$3404bo3$3989b3o$3989bo$3990bo9$3731b3o$3731bo$3732bo
11$3463b3o$3463bo$3464bo3$4049b3o$4049bo$4050bo9$3791b3o$3791bo$3792bo
11$3523b3o$3523bo$3524bo3$4109b3o$4109bo$4110bo9$3851b3o$3851bo$3852bo
11$3583b3o$3583bo$3584bo3$4169b3o$4169bo$4170bo9$3911b3o$3911bo$3912bo
11$3643b3o$3643bo$3644bo3$4229b3o$4229bo$4230bo9$3971b3o$3971bo$3972bo
11$3703b3o$3703bo$3704bo3$4289b3o$4289bo$4290bo9$4031b3o$4031bo$4032bo
11$3763b3o$3763bo$3764bo3$4349b3o$4349bo$4350bo9$4091b3o$4091bo$4092bo
11$3823b3o$3823bo$3824bo3$4409b3o$4409bo$4410bo9$4151b3o$4151bo$4152bo
11$3883b3o$3883bo$3605b3o276bo$3605bo$3606bo12$4211b3o$4211bo$4212bo
11$3943b3o$3943bo$3665b3o276bo$3665bo$3666bo12$4271b3o$4271bo$4272bo
11$4003b3o$4003bo$3725b3o276bo$3725bo$3726bo12$4331b3o$4331bo$4332bo
11$4063b3o$4063bo$3785b3o276bo$3785bo$3786bo12$4391b3o$4391bo$4392bo
11$4123b3o$4123bo$3845b3o276bo$3845bo$3846bo12$4451b3o$4451bo$4452bo
11$4183b3o$4183bo$3905b3o276bo$3905bo$3906bo12$4511b3o$4511bo$4512bo
11$4243b3o$4243bo$3965b3o276bo$3965bo$3966bo12$4571b3o$4571bo$4572bo
11$4303b3o$4303bo$4025b3o276bo$4025bo$4026bo12$4631b3o$4631bo$4632bo
11$4363b3o$4363bo$4085b3o276bo$4085bo$4086bo12$4691b3o$4691bo$4692bo
11$4423b3o$3865b3o555bo$3865bo279b3o276bo$3866bo278bo$4146bo25$4483b3o
$3925b3o555bo$3925bo279b3o276bo$3926bo278bo$4206bo25$4543b3o$3985b3o
555bo$3985bo279b3o276bo$3986bo278bo$4266bo25$4603b3o$4045b3o555bo$
4045bo279b3o276bo$4046bo278bo$4326bo25$4663b3o$4105b3o555bo$4105bo279b
3o276bo$4106bo278bo$4386bo25$4723b3o$4165b3o555bo$4165bo279b3o276bo$
4166bo278bo$4446bo25$4783b3o$4225b3o555bo$4225bo279b3o276bo$4226bo278b
o$4506bo25$4843b3o$4285b3o555bo$4285bo279b3o276bo$4286bo278bo$4566bo
25$4903b3o$4345b3o555bo$4345bo279b3o276bo$4346bo278bo$4626bo25$4963b3o
$4405b3o555bo$4405bo279b3o276bo$4406bo278bo$4686bo26$4465b3o$4465bo
279b3o$4466bo278bo$4746bo$4135b3o$4135bo$4136bo23$4525b3o$4525bo279b3o
$4526bo278bo$4806bo$4195b3o$4195bo$4196bo23$4585b3o$4585bo279b3o$4586b
o278bo$4866bo$4255b3o$4255bo$4256bo23$4645b3o$4645bo279b3o$4646bo278bo
$4926bo$4315b3o$4315bo$4316bo23$4705b3o$4705bo279b3o$4706bo278bo$4986b
o$4375b3o$4375bo$4376bo23$4765b3o$4765bo279b3o$4766bo278bo$5046bo$
4435b3o$4435bo$4436bo23$4825b3o$4825bo279b3o$4826bo278bo$5106bo$4495b
3o$4495bo$4496bo23$4885b3o$4885bo279b3o$4886bo278bo$5166bo$4555b3o$
4555bo$4556bo23$4945b3o$4945bo279b3o$4946bo278bo$5226bo$4615b3o$4615bo
$4616bo23$5005b3o$5005bo$5006bo2$4675b3o$4675bo$4676bo7$4413b3o$4413bo
$4414bo14$5065b3o$5065bo$5066bo2$4735b3o$4735bo$4736bo7$4473b3o$4473bo
$4474bo14$5125b3o$5125bo$5126bo2$4795b3o$4795bo$4796bo7$4533b3o$4533bo
$4534bo14$5185b3o$5185bo$5186bo2$4855b3o$4855bo$4856bo7$4593b3o$4593bo
$4594bo14$5245b3o$5245bo$5246bo2$4915b3o$4915bo$4916bo7$4653b3o$4653bo
$4654bo14$5305b3o$5305bo$5306bo2$4975b3o$4975bo$4976bo7$4713b3o$4713bo
$4714bo14$5365b3o$5365bo$5366bo2$5035b3o$5035bo$5036bo7$4773b3o$4773bo
$4774bo14$5425b3o$5425bo$5426bo2$5095b3o$5095bo$5096bo7$4833b3o$4833bo
$4834bo14$5485b3o$5485bo$5486bo2$5155b3o$5155bo$5156bo7$4893b3o$4893bo
$4894bo18$5215b3o$5215bo$5216bo7$4953b3o$4953bo$4954bo7$4671b3o$4671bo
$4672bo9$5275b3o$5275bo$5276bo7$5013b3o$5013bo$5014bo7$4731b3o$4731bo$
4732bo9$5335b3o$5335bo$5336bo7$5073b3o$5073bo$5074bo7$4791b3o$4791bo$
4792bo9$5395b3o$5395bo$5396bo7$5133b3o$5133bo$5134bo7$4851b3o$4851bo$
4852bo9$5455b3o$5455bo$5456bo7$5193b3o$5193bo$5194bo7$4911b3o$4911bo$
4912bo9$5515b3o$5515bo$5516bo7$5253b3o$5253bo$5254bo7$4971b3o$4971bo$
4972bo9$5575b3o$5575bo$5576bo7$5313b3o$5313bo$5314bo7$5031b3o$5031bo$
5032bo9$5635b3o$5635bo$5636bo7$5373b3o$5373bo$5374bo7$5091b3o$5091bo$
5092bo9$5695b3o$5695bo$5696bo7$5433b3o$5433bo$5434bo7$5151b3o$5151bo$
5152bo9$5755b3o$5755bo$5756bo7$5493b3o$5493bo$5494bo7$5211b3o$5211bo$
5212bo7$4948b3o$4948bo$4949bo9$5553b3o$5553bo$5554bo7$5271b3o$5271bo$
5272bo7$5008b3o$5008bo$5009bo9$5613b3o$5613bo$5614bo7$5331b3o$5331bo$
5332bo7$5068b3o$5068bo$5069bo9$5673b3o$5673bo$5674bo7$5391b3o$5391bo$
5392bo7$5128b3o$5128bo$5129bo9$5733b3o$5733bo$5734bo7$5451b3o$5451bo$
5452bo7$5188b3o$5188bo$5189bo9$5793b3o$5793bo$5794bo7$5511b3o$5511bo$
5512bo7$5248b3o$5248bo$5249bo9$5853b3o$5853bo$5854bo7$5571b3o$5571bo$
5572bo7$5308b3o$5308bo$5309bo9$5913b3o$5913bo$5914bo7$5631b3o$5631bo$
5632bo7$5368b3o$5368bo$5369bo9$5973b3o$5973bo$5974bo7$5691b3o$5691bo$
5692bo7$5428b3o$5428bo$5429bo9$6033b3o$6033bo$6034bo7$5751b3o$5751bo$
5752bo7$5488b3o$5488bo$5489bo7$5221b3o$5221bo$5222bo9$5811b3o$5811bo$
5812bo7$5548b3o$5548bo$5549bo7$5281b3o$5281bo$5282bo9$5871b3o$5871bo$
5872bo7$5608b3o$5608bo$5609bo7$5341b3o$5341bo$5342bo9$5931b3o$5931bo$
5932bo7$5668b3o$5668bo$5669bo7$5401b3o$5401bo$5402bo9$5991b3o$5991bo$
5992bo7$5728b3o$5728bo$5729bo7$5461b3o$5461bo$5462bo9$6051b3o$6051bo$
6052bo7$5788b3o$5788bo$5789bo7$5521b3o$5521bo$5522bo9$6111b3o$6111bo$
6112bo7$5848b3o$5848bo$5849bo7$5581b3o$5581bo$5582bo9$6171b3o$6171bo$
6172bo7$5908b3o$5908bo$5909bo7$5641b3o$5641bo$5642bo9$6231b3o$6231bo$
6232bo7$5968b3o$5968bo$5969bo7$5701b3o$5701bo$5702bo9$6291b3o$6291bo$
6292bo7$6028b3o$6028bo$6029bo7$5761b3o$5761bo$5762bo18$6088b3o$6088bo$
6089bo7$5821b3o$5821bo$5822bo7$5529b3o$5529bo$5530bo9$6148b3o$6148bo$
6149bo7$5881b3o$5881bo$5882bo7$5589b3o$5589bo$5590bo9$6208b3o$6208bo$
6209bo7$5941b3o$5941bo$5942bo7$5649b3o$5649bo$5650bo9$6268b3o$6268bo$
6269bo7$6001b3o$6001bo$6002bo7$5709b3o$5709bo$5710bo9$6328b3o$6328bo$
6329bo7$6061b3o$6061bo$6062bo7$5769b3o$5769bo$5770bo9$6388b3o$6388bo$
6389bo7$6121b3o$6121bo$6122bo7$5829b3o$5829bo$5830bo9$6448b3o$6448bo$
6449bo7$6181b3o$6181bo$6182bo7$5889b3o$5889bo$5890bo9$6508b3o$6508bo$
6509bo7$6241b3o$6241bo$6242bo7$5949b3o$5949bo$5950bo9$6568b3o$6568bo$
6569bo7$6301b3o$6301bo$6302bo7$6009b3o$6009bo$6010bo18$6361b3o$6361bo$
6362bo7$6069b3o$6069bo$6070bo17$5813b3o$5813bo607b3o$5814bo606bo$6422b
o7$6129b3o$6129bo$6130bo17$5873b3o$5873bo607b3o$5874bo606bo$6482bo7$
6189b3o$6189bo$6190bo17$5933b3o$5933bo607b3o$5934bo606bo$6542bo7$6249b
3o$6249bo$6250bo17$5993b3o$5993bo607b3o$5994bo606bo$6602bo7$6309b3o$
6309bo$6310bo17$6053b3o$6053bo607b3o$6054bo606bo$6662bo7$6369b3o$6369b
o$6370bo17$6113b3o$6113bo607b3o$6114bo606bo$6722bo7$6429b3o$6429bo$
6430bo17$6173b3o$6173bo607b3o$6174bo606bo$6782bo7$6489b3o$6489bo$6490b
o17$6233b3o$6233bo607b3o$6234bo606bo$6842bo7$6549b3o$6549bo$6550bo17$
6293b3o$6293bo$6294bo8$6609b3o$6609bo$6610bo17$6353b3o$6353bo$6354bo8$
6669b3o$6669bo$6670bo7$6098b2o$6097b2o$6099bo8$6413b3o$6413bo$6414bo8$
6729b3o$6729bo$6730bo7$6158b2o$6157b2o$6159bo8$6473b3o$6473bo$6474bo8$
6789b3o$6789bo$6790bo7$6218b2o$6217b2o$6219bo8$6533b3o$6533bo$6534bo8$
6849b3o$6849bo$6850bo7$6278b2o$6277b2o$6279bo8$6593b3o$6593bo$6594bo8$
6909b3o$6909bo$6910bo7$6338b2o$6337b2o$6339bo8$6653b3o$6653bo$6654bo8$
6969b3o$6969bo$6970bo7$6398b2o$6397b2o$6399bo8$6713b3o$6713bo$6714bo8$
7029b3o$7029bo$7030bo7$6458b2o$6457b2o$6459bo8$6773b3o$6773bo$6774bo8$
7089b3o$7089bo$7090bo7$6518b2o$6517b2o$6519bo8$6833b3o$6833bo$6834bo8$
7149b3o$7149bo$7150bo7$6578b2o$6577b2o$6579bo8$6893b3o$6893bo$6894bo
17$6638b2o$6637b2o$6639bo8$6953b3o$6953bo$6954bo7$6368b2o$6367b2o$
6369bo8$6698b2o$6697b2o$6699bo8$7013b3o$7013bo$7014bo7$6428b2o$6427b2o
$6429bo8$6758b2o$6757b2o$6759bo8$7073b3o$7073bo$7074bo7$6488b2o$6487b
2o$6489bo8$6818b2o$6817b2o$6819bo8$7133b3o$7133bo$7134bo7$6548b2o$
6547b2o$6549bo8$6878b2o$6877b2o$6879bo8$7193b3o$7193bo$7194bo7$6608b2o
$6607b2o$6609bo8$6938b2o$6937b2o$6939bo8$7253b3o$7253bo$7254bo7$6668b
2o$6667b2o$6669bo8$6998b2o$6997b2o$6999bo8$7313b3o$7313bo$7314bo7$
6728b2o$6727b2o$6729bo8$7058b2o$7057b2o$7059bo8$7373b3o$7373bo$7374bo
7$6788b2o$6787b2o$6789bo8$7118b2o$7117b2o$7119bo8$7433b3o$7433bo$7434b
o7$6848b2o$6847b2o$6849bo8$7178b2o$7177b2o$7179bo17$6908b2o$6907b2o$
6909bo8$7238b2o$7237b2o$7239bo7$6666b2o$6665b2o$6667bo8$6968b2o$6967b
2o$6969bo8$7298b2o$7297b2o$7299bo7$6726b2o$6725b2o$6727bo8$7028b2o$
7027b2o$7029bo8$7358b2o$7357b2o$7359bo7$6786b2o$6785b2o$6787bo8$7088b
2o$7087b2o$7089bo8$7418b2o$7417b2o$7419bo7$6846b2o$6845b2o$6847bo8$
7148b2o$7147b2o$7149bo8$7478b2o$7477b2o$7479bo7$6906b2o$6905b2o$6907bo
8$7208b2o$7207b2o$7209bo8$7538b2o$7537b2o$7539bo7$6966b2o$6965b2o$
6967bo8$7268b2o$7267b2o$7269bo8$7598b2o$7597b2o$7599bo7$7026b2o$7025b
2o$7027bo8$7328b2o$7327b2o$7329bo8$7658b2o$7657b2o$7659bo7$7086b2o$
7085b2o$7087bo8$7388b2o$7387b2o$7389bo8$7718b2o$7717b2o$7719bo7$7146b
2o$7145b2o$7147bo8$7448b2o$7447b2o$7449bo17$7206b2o$7205b2o$7207bo8$
7508b2o$7507b2o$7509bo17$7266b2o$7265b2o$7267bo8$6946b3o619b2o$6946bo
620b2o$6947bo621bo17$7326b2o$7325b2o$7327bo8$7006b3o619b2o$7006bo620b
2o$7007bo621bo17$7386b2o$7385b2o$7387bo8$7066b3o619b2o$7066bo620b2o$
7067bo621bo17$7446b2o$7445b2o$7447bo8$7126b3o619b2o$7126bo620b2o$7127b
o621bo17$7506b2o$7505b2o$7507bo8$7186b3o619b2o$7186bo620b2o$7187bo621b
o17$7566b2o$7565b2o$7567bo8$7246b3o619b2o$7246bo620b2o$7247bo621bo17$
7626b2o$7625b2o$7627bo8$7306b3o619b2o$7306bo620b2o$7307bo621bo17$7686b
2o$7685b2o$7687bo8$7366b3o619b2o$7366bo620b2o$7367bo621bo17$7746b2o$
7745b2o$7747bo8$7426b3o$7426bo$7427bo17$7806b2o$7805b2o$7807bo8$7486b
3o$7486bo$7487bo17$7235b2o629b2o$7234b2o629b2o$7236bo630bo8$7546b3o$
7546bo$7547bo17$7295b2o629b2o$7294b2o629b2o$7296bo630bo8$7606b3o$7606b
o$7607bo17$7355b2o629b2o$7354b2o629b2o$7356bo630bo8$7666b3o$7666bo$
7667bo17$7415b2o629b2o$7414b2o629b2o$7416bo630bo8$7726b3o$7726bo$7727b
o17$7475b2o629b2o$7474b2o629b2o$7476bo630bo8$7786b3o$7786bo$7787bo17$
7535b2o629b2o$7534b2o629b2o$7536bo630bo8$7846b3o$7846bo$7847bo17$7595b
2o629b2o$7594b2o629b2o$7596bo630bo8$7906b3o$7906bo$7907bo17$7655b2o
629b2o$7654b2o629b2o$7656bo630bo8$7966b3o$7966bo$7967bo17$7715b2o$
7714b2o$7716bo8$8026b3o$8026bo$8027bo17$7775b2o$7774b2o$7776bo8$8086b
3o$8086bo$8087bo7$7512b2o$7511b2o$7513bo8$7835b2o$7834b2o$7836bo8$
8146b3o$8146bo$8147bo7$7572b2o$7571b2o$7573bo8$7895b2o$7894b2o$7896bo
8$8206b3o$8206bo$8207bo7$7632b2o$7631b2o$7633bo8$7955b2o$7954b2o$7956b
o8$8266b3o$8266bo$8267bo7$7692b2o$7691b2o$7693bo8$8015b2o$8014b2o$
8016bo8$8326b3o$8326bo$8327bo7$7752b2o$7751b2o$7753bo8$8075b2o$8074b2o
$8076bo8$8386b3o$8386bo$8387bo7$7812b2o$7811b2o$7813bo8$8135b2o$8134b
2o$8136bo8$8446b3o$8446bo$8447bo7$7872b2o$7871b2o$7873bo8$8195b2o$
8194b2o$8196bo8$8506b3o$8506bo$8507bo7$7932b2o$7931b2o$7933bo8$8255b2o
$8254b2o$8256bo8$8566b3o$8566bo$8567bo7$7992b2o$7991b2o$7993bo8$8315b
2o$8314b2o$8316bo17$8052b2o$8051b2o$8053bo8$8375b2o$8374b2o$8376bo13$
7798b2o$7797b2o$7799bo2$8112b2o$8111b2o$8113bo8$8435b2o$8434b2o$8436bo
13$7858b2o$7857b2o$7859bo2$8172b2o$8171b2o$8173bo8$8495b2o$8494b2o$
8496bo13$7918b2o$7917b2o$7919bo2$8232b2o$8231b2o$8233bo8$8555b2o$8554b
2o$8556bo13$7978b2o$7977b2o$7979bo2$8292b2o$8291b2o$8293bo8$8615b2o$
8614b2o$8616bo13$8038b2o$8037b2o$8039bo2$8352b2o$8351b2o$8353bo8$8675b
2o$8674b2o$8676bo13$8098b2o$8097b2o$8099bo2$8412b2o$8411b2o$8413bo8$
8735b2o$8734b2o$8736bo13$8158b2o$8157b2o$8159bo2$8472b2o$8471b2o$8473b
o8$8795b2o$8794b2o$8796bo13$8218b2o$8217b2o$8219bo2$8532b2o$8531b2o$
8533bo8$8855b2o$8854b2o$8856bo13$8278b2o$8277b2o$8279bo2$8592b2o$8591b
2o$8593bo23$8338b2o$8337b2o$8339bo2$8652b2o$8651b2o$8653bo23$8398b2o$
8397b2o$8399bo2$8712b2o$8711b2o$8713bo23$8458b2o$8457b2o$8459bo2$8772b
2o$8771b2o$8773bo23$8518b2o$8517b2o$8519bo2$8832b2o$8831b2o$8833bo23$
8578b2o$8577b2o$8579bo2$8892b2o$8891b2o$8893bo23$8638b2o$8637b2o$8639b
o2$8952b2o$8951b2o$8953bo23$8698b2o$8697b2o$8699bo2$9012b2o$9011b2o$
9013bo23$8758b2o$8757b2o$8759bo2$9072b2o$9071b2o$9073bo23$8818b2o$
8817b2o$8819bo2$9132b2o$9131b2o$9133bo23$8878b2o$8877b2o$8879bo27$
8938b2o$8937b2o$8939bo27$8998b2o$8997b2o$8999bo27$9058b2o$9057b2o$
9059bo27$9118b2o$9117b2o$9119bo27$9178b2o$9177b2o$9179bo27$9238b2o$
9237b2o$9239bo27$9298b2o$9297b2o$9299bo27$9358b2o$9357b2o$9359bo27$
9418b2o$9417b2o$9419bo1716$607b2o$607b2o24$626b3o$626bo$627bo250$888b
2o$888bobo$888bo281$1163b2o$1163bobo$1163bo265$1438b2o$1438bobo$1438bo
290$1743b2o$1743bobo$1743bo275$2023b2o$2023bobo$2023bo279$2294b3o$
2294bo$2295bo261$2554b3o$2554bo$2555bo256$2822b3o$2822bo$2823bo258$
3081b3o$3081bo$3082bo272$3343b3o$3343bo$3344bo270$3625b3o$3625bo$3626b
o272$3897b3o$3897bo$3898bo261$4159b3o$4159bo$4160bo258$4419b3o$4419bo$
4420bo292$4689b3o$4689bo$4690bo268$4967b3o$4967bo$4968bo268$5225b3o$
5225bo$5226bo268$5502b3o$5502bo$5503bo268$5775b3o$5775bo$5776bo297$
6083b3o$6083bo$6084bo278$6367b3o$6367bo$6368bo278$6652b2o$6651b2o$
6653bo278$6922b2o$6921b2o$6923bo278$7220b2o$7219b2o$7221bo298$7500b3o$
7500bo$7501bo278$7789b2o$7788b2o$7790bo278$8066b2o$8065b2o$8067bo284$
8352b2o$8351b2o$8353bo!

No doubt there are shorter forward-glider HWSS seed recipes... but can anyone find one with less than 29 gliders, let's say by next weekend?

After that, if no one else gets to it first, I'll probably just string together forerakes to make the above salvo, and then -- I think -- the 31c/240 will be pretty close to complete.

Post by **codeholic** » August 25th, 2014, 12:40 pm

Would it be worth to start with more than one target?

Post by **dvgrn** » August 25th, 2014, 6:27 pm

codeholic wrote:Would it be worth to start with more than one target?

I don't know for sure. My intuition is that the shortest workable HWSS-seed-making salvos to support Calcyman's front end will turn out to be on the order of six to eight gliders per HWSS -- and yes, most likely the initial target won't be just a block.

However, as it turned out, I didn't have to spend very many gliders splitting the intial block target into multiple targets. Instead, I looked up known recipes for small constellations of objects with the right relative spacing -- see this posting for the original data I'm working from.

I'm still coming up with these recipes manually, because it seems very difficult to design anything other than a brute-force search for them. Here's an overview for this case:

1) find cheap recipes for the half-blockade, the blinker, and the boat;
2) double-check that there's a construction order such that the construction envelope for those three recipes will not overlap some already-constructed object;
3) mark where the initial target block needs to be for each recipe;
4) search through known object recipes for ways to build two or more of those initial target blocks simultaneously;
5) search through known block-move recipes to find a safe way to move a block to the location needed for the simultaneous-initial-blocks recipe.

It's not really all that difficult once you get used to it, but you have to make lots of arbitrary decisions that are sure to be sub-optimal...

Anyway, instead of building the blinker, beehive, and two half-blockade blocks one at a time, I ended up doing this:

-- move original block to start location for simultaneous-initial-blocks recipe (1 glider)
-- build Target Block #1(top) and Target Block #2 simultaneously (5 gliders)
-- use Target Block #2 to build the blinker (6 gliders)
-- rebuild leftovers from blinker construction into Target Block #3 (3 gliders)
-- use Target Block #1 to build the half-blockade (5 gliders)
-- use Target Block #3 to build a boat (glider turner) in the right place (8 gliders)
-- trigger the seed to get an HWSS (1 glider)

I'm sure it's possible to do better! The leftovers->Target Block #3->glider turner are 11 gliders in all -- should be an easy target for an incremental improvement.

chris_c · Post by **chris_c** » August 26th, 2014, 6:55 am

I think this is a working 16 glider recipe:

Code: Select all

x = 3592, y = 3600, rule = B3/S23
3o13$2o$2o30$2o$2o30$2o$2o30$2o$2o30$2o$2o30$2o$2o30$2o$2o30$2o$2o30$
2o$2o28$34b3o$34bo$35bo27$94b3o$94bo$95bo27$154b3o$154bo$155bo27$214b
3o$214bo$215bo27$274b3o$274bo$275bo27$334b3o$334bo$335bo27$394b3o$394b
o$395bo24$234b3o$234bo$235bo$454b3o$454bo$455bo24$294b3o$294bo$295bo$
514b3o$514bo$515bo24$354b3o$354bo$355bo27$414b3o$414bo$415bo27$474b3o$
474bo$475bo27$534b3o$534bo$535bo27$594b3o$594bo$595bo27$654b3o$654bo$
435b3o217bo$435bo$436bo25$714b3o$714bo$495b3o217bo$495bo$496bo27$555b
3o$555bo$556bo27$615b3o$615bo$616bo27$675b3o$675bo$676bo27$735b3o$735b
o$736bo27$795b3o$795bo$796bo27$855b3o$637bo217bo$636b2o218bo$636bobo
26$915b3o$697bo217bo$696b2o218bo$696bobo27$757bo$756b2o$756bobo27$817b
o$816b2o$816bobo27$877bo$876b2o$876bobo27$937bo$936b2o$936bobo27$997bo
$996b2o$996bobo27$1057bo$1056b2o$1056bobo3$840b3o$840bo$841bo22$1117bo
$1116b2o$1116bobo3$900b3o$900bo$901bo27$960b3o$960bo$961bo27$1020b3o$
1020bo$1021bo27$1080b3o$1080bo$1081bo27$1140b3o$1140bo$1141bo27$1200b
3o$1200bo$1201bo27$1040b3o217b3o$1040bo219bo$1041bo219bo27$1100b3o217b
3o$1100bo219bo$1101bo219bo27$1160b3o$1160bo$1161bo27$1220b3o$1220bo$
1221bo27$1280b3o$1280bo$1281bo27$1340b3o$1340bo$1341bo27$1400b3o$1400b
o$1401bo27$1460b3o$1460bo$1461bo27$1520b3o$1520bo$1521bo5$1297bo$1296b
2o$1296bobo27$1357bo$1356b2o$1356bobo27$1417bo$1416b2o$1416bobo27$
1477bo$1476b2o$1476bobo27$1537bo$1536b2o$1536bobo27$1597bo$1596b2o$
1596bobo27$1657bo$1656b2o$1656bobo27$1717bo$1716b2o$1716bobo25$1531bo$
1530b2o$1530bobo244bo$1776b2o$1776bobo25$1591bo$1590b2o$1590bobo27$
1651bo$1650b2o$1650bobo27$1711bo$1710b2o$1710bobo27$1771bo$1770b2o$
1770bobo27$1831bo$1830b2o$1830bobo27$1891bo$1890b2o$1890bobo27$1951bo$
1950b2o$1950bobo26$1757b2o$1757bobo251bo$1757bo252b2o$2010bobo26$1817b
2o$1817bobo$1817bo27$1877b2o$1877bobo$1877bo27$1937b2o$1937bobo$1937bo
27$1997b2o$1997bobo$1997bo27$2057b2o$2057bobo$2057bo27$2117b2o$2117bob
o$2117bo27$2177b2o$2177bobo$2177bo15$1983bo$1982b2o$1982bobo10$2237b2o
$2237bobo$2237bo15$2043bo$2042b2o$2042bobo27$2103bo$2102b2o$2102bobo
27$2163bo$2162b2o$2162bobo27$2223bo$2222b2o$2222bobo27$2283bo$2282b2o$
2282bobo27$2343bo$2342b2o$2342bobo27$2403bo$2402b2o$2402bobo27$2463bo$
2462b2o$2462bobo2$2212b2o$2212bobo$2212bo27$2272b2o$2272bobo$2272bo27$
2332b2o$2332bobo$2332bo27$2392b2o$2392bobo$2392bo27$2452b2o$2452bobo$
2452bo27$2512b2o$2512bobo$2512bo27$2572b2o$2572bobo$2572bo4$2404b3o$
2404bo$2405bo21$2632b2o$2632bobo$2632bo4$2464b3o$2464bo$2465bo21$2692b
2o$2692bobo$2692bo4$2524b3o$2524bo$2525bo27$2584b3o$2584bo$2585bo27$
2644b3o$2644bo$2645bo27$2704b3o$2704bo$2705bo27$2764b3o$2764bo$2765bo
3$2582bo$2581b2o$2581bobo22$2824b3o$2824bo$2825bo3$2642bo$2641b2o$
2641bobo22$2884b3o$2884bo$2885bo3$2702bo$2701b2o$2701bobo27$2762bo$
2761b2o$2761bobo27$2822bo$2821b2o$2821bobo27$2882bo$2881b2o$2881bobo
27$2942bo$2941b2o$2941bobo4$2767bo$2766b2o$2766bobo21$3002bo$3001b2o$
3001bobo4$2827bo$2826b2o$2826bobo21$3062bo$3061b2o$3061bobo4$2887bo$
2886b2o$2886bobo27$2947bo$2946b2o$2946bobo27$3007bo$3006b2o$3006bobo
27$3067bo$3066b2o$3066bobo27$3127bo$3126b2o$3126bobo4$2944bo$2943b2o$
2943bobo21$3187bo$3186b2o$3186bobo4$3004bo$3003b2o$3003bobo21$3247bo$
3246b2o$3246bobo4$3064bo$3063b2o$3063bobo27$3124bo$3123b2o$3123bobo27$
3184bo$3183b2o$3183bobo27$3244bo$3243b2o$3243bobo27$3304bo$3303b2o$
3303bobo4$3110bo$3109b2o$3109bobo21$3364bo$3363b2o$3363bobo4$3170bo$
3169b2o$3169bobo21$3424bo$3423b2o$3423bobo4$3230bo$3229b2o$3229bobo27$
3290bo$3289b2o$3289bobo27$3350bo$3349b2o$3349bobo27$3410bo$3409b2o$
3409bobo27$3470bo$3469b2o$3469bobo27$3530bo$3529b2o$3529bobo27$3590bo$
3589b2o$3589bobo!

It is based on 3 different searches:

1. Block to half-blockade in the correct column (6 gliders)
2. Remaining junk to blinker (5 gliders, and by far the longest search)
3. Remaining junk to backward glider on the correct lane (5 gliders).

ConwayLife.com

31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes

Re: 31c/240 caterpillar working notes