codeholic wrote:... it could be possible to build something like a movable slow salvo target that would emit gliders and these gliders would be used to trigger a chain of half-bakery reactions, emitting gliders in the opposite direction, hit the slow salvo target and thus the reaction loop would be closed.
After a few exchanges with Calcyman in the last week or two, I'm fairly confident that the above design for a Half-Baked Knightship is actually buildable.
Here are some workable pairs of glider pairs, compatible with the extra glider outputs from half-bakery reactions. These can be used for a Serizawa-style "armless" slow-salvo constructor:
Code: Select all
x = 1096, y = 296, rule = LifeHistory
.C129.C119.C118.C100.C109.C109.C99.C99.C109.C63.3A$2.C129.C119.C118.C
100.C109.C109.C99.C99.C109.C61.3BA$3C127.3C117.3C116.3C98.3C107.3C
107.3C97.3C97.3C107.3C60.3BA$1062.4B$1061.4B$1060.4B$1059.4B$1058.4B$
1057.4B$1056.4B$1055.4B$849.A204.4B$848.B2A159.C42.4B$847.BABA160.2C
39.4B$754.A91.4B160.2C39.4B$753.B2A89.4B201.4B$195.2A555.BABA88.4B
201.4B$194.2B2A336.A216.4B88.4B201.4B$193.2BAB229.2A105.B2A214.4B88.
4B201.4B$67.A124.4B229.2B2A61.C41.BABA213.4B88.4B201.4B$66.B2A122.4B
121.2A106.2BAB63.C39.4B61.C.C149.4B88.4B201.4B$17.C.C45.BABA121.4B73.
C.C45.2B2A104.4B62.3C38.4B63.2C40.2A106.4B88.4B201.4B$18.2C44.4B121.
4B75.2C44.2BAB104.4B103.4B64.C40.2B2A104.4B88.4B71.C129.4B$18.C44.4B
121.4B76.C44.4B104.4B103.4B105.2BAB104.4B88.4B70.C.C128.4B$62.4B121.
4B121.4B104.4B103.4B105.4B74.C29.4B64.C23.4B72.2C127.4B$61.4B86.C.C
32.4B121.4B78.C25.4B103.4B105.4B76.2C26.4B66.C21.4B201.4B$60.4B88.2C
31.4B121.4B77.C.C24.4B103.4B105.4B76.2C26.4B65.3C20.4B201.3DB$59.4B
89.C31.4B121.4B79.2C23.4B103.4B105.4B104.4B88.4B202.BDB$58.4B121.4B
121.4B104.4B103.4B105.4B104.4B88.4B202.2B3D$57.4B121.4B121.4B104.4B
103.4B105.4B104.4B88.4B203.5B$56.4B121.4B121.4B104.4B103.4B105.4B104.
4B84.B3.4B205.5B$55.4B121.4B121.4B104.4B96.2B5.4B105.4B104.4B84.8B
205.6B$54.4B121.4B121.4B104.4B95.5B3.4B105.4B104.4B85.7B204.8B$32.3B
18.4B105.3B13.4B100.3B18.4B94.3B7.4B87.3B3.9B.4B90.3B12.4B91.3B10.4B
83.9B91.3B107.11B$32.4B2.2B12.4B106.4B11.4B101.4B2.2B12.4B95.4B5.4B
88.4B.5BD8B91.4B10.4B92.4B8.4B84.8B92.4B106.12B$33.8B10.4B108.4B9.4B
103.8B10.4B97.11B90.9BD7B93.4B8.4B94.4B6.4B86.6B94.4B23.3A80.7B.3B$
32.4B.4B9.4B108.4B.3B5.4B103.4B.4B9.4B97.11B92.8BD7B94.5B5.4B96.4B4.
4B87.5B96.4B11.2B8.3BA81.2B2.5B$33.4BD4B7.4B110.4BD3B3.4B105.4BD4B7.
4B97.12B93.15B95.4B4.4B98.4B2.4B88.6B96.4B9.3B7.3BA86.4B$34.3BD4B6.4B
112.3BD3B2.4B107.3BD4B6.4B98.12B95.B3D3B3D3B94.5B3.4B100.8B89.6B97.4B
6.6B5.4B87.B2DB$34.3BD5B4.4B113.3BD8B108.3BD5B4.4B99.6B2D6B92.14B94.
3BDB2.4B102.2B.4B90.2B2D99.4B3.B2D5B4.4B89.2D$34.10B2.4B114.11B109.
10B2.4B100.5BD2BD7B90.6BD5B95.3BDBD5B103.7B91.B2D2B98.7B2D12B90.4B$
33.3D3B3D2B.4B114.3D3B3D2B109.3D3B3D2B.4B102.4BD2BD8B89.6BD6B93.5B2D
4B106.2D4B92.3B99.19B93.3B$34.B.12B116.B.3B.4B110.B.12B105.3B2D8B91.
5BD7B93.9B107.2D.4B91.4B99.17B94.4B$35.2BD9B119.BD2B2.3B110.2BD4B.4B
106.14B90.14B94.8B110.4B91.4B99.17B94.4B$36.BD3B2.4B119.BD2B2.4B110.B
D8B107.14B90.14B96.2B.4B110.4B91.4B99.15B96.4B$37.D5.5B119.DB4.4B110.
D4.4B108.13B91.12B100.4B111.4B91.4B98.15B97.4B$45.4B125.4B115.4B109.
2B.B.6B93.11B100.4B111.4B91.4B97.14B99.4B$46.4B125.2B117.4B117.2B93.
6B2.4B100.4B111.3B92.3B97.13B101.4B$47.4B244.4B212.4B4.4B100.4B111.B
194.13B101.4B$48.4B244.4B212.B7.4B100.4B306.B.10B102.4B$49.4B244.4B
220.4B100.4B306.11B103.4B$50.2B246.2B222.4B100.4B306.7B107.4B$523.3B
101.2B309.B112.4B$184.2C239.2C321.2C90.3C209.4B$184.C.C237.2C322.C.C
89.C212.4B$184.C241.C321.C92.C212.4B$952.2C101.4B$58.2C248.2C221.2C
418.2C103.4B$58.C.C247.C.C219.2C105.3C313.C103.4B$58.C249.C223.C104.C
420.3B$638.C420.B4$1069.C$1068.2C$1068.C.C11$208.C238.2C$207.2C238.C.
C320.2C92.3C$207.C.C237.C321.2C93.C$771.C93.C108.2C$83.C247.C642.C.C$
82.2C246.2C328.C313.C$82.C.C245.C.C222.3C101.2C$555.C103.C.C$556.C5$
1091.2C3D$1090.2C3D$1092.C3D118$.C109.C118.C120.C119.C119.C109.C99.C$
2.C109.C118.C120.C119.C119.C109.C99.C$3C107.3C116.3C118.3C117.3C117.
3C107.3C97.3C17$369.C$127.C118.C123.C119.C$17.C.C108.2C117.2C119.3C
117.C.C$18.2C107.2C117.2C241.2C$18.C592.C207.C.C$609.C.C208.2C$610.2C
113.C94.C$723.C.C$724.2C2$736.B$732.7B$729.11B$627.4B98.10B.B$32.3B
107.3B116.3B118.3B.B115.3B.B115.3B.6B97.13B90.3B$32.4B2.2B102.4B2.2B
111.4B2.2B113.6B3.D110.6B3.D110.10B98.13B89.4B$33.8B102.8B111.8B113.
8BDB110.8BDB110.12B94.14B90.4B$32.4B.4B101.4B.4B110.4B.4B114.7BD.B
110.7BD.B110.12B92.15B91.4B$33.4BD4B101.4BD4B110.4BD4B114.B.8B110.B.
8B110.5B2D4B92.15B92.4B$34.3BD4B102.3BD4B111.3BD4B114.2B3D3B3D109.2B
3D3B3D109.4BD2BD4B90.17B92.4B$34.3BD5B101.3BD5B110.3BD5B112.11B109.
11B110.4BD2BD4B91.17B92.4B.2D$34.10B100.10B109.10B111.7BD3B109.7BD3B
110.5B2D4B91.19B92.4B2D$33.3D3B3D2B99.3D3B3D2B108.3D3B3D2B112.6BD3B
110.6BD3B110.12B89.12B2D7B92.7B$34.B.8B100.B.8B109.B.8B113.5BD3B112.
4BD2B110.12B89.4B4.5B2DB3.4B91.4B.2B$35.2BD6B101.2BD8B108.2BD7B111.
11B112.8B107.14B87.4B5.6B6.4B90.8B$36.BD8B100.BD3B.4B109.BD7B110.4B2.
7B110.9B106.4B3.8B86.4B7.3B9.4B88.4B2.4B$37.D2.7B100.D3.6B109.D2.6B
108.4B7.4B108.4B2.5B104.4B4.8B85.4B8.2B11.4B86.4B4.4B$39.4B.4B102.8B
110.8B106.4B9.4B106.4B4.5B102.4B6.7B84.A3B23.3B85.4B6.4B$38.4B3.4B
100.4B2.4B108.4B2.4B104.4B11.4B104.4B7.4B100.4B7.8B83.ABA25.2B84.4B8.
4B$37.4B5.4B98.4B4.4B106.4B4.4B102.4B13.4B102.4B9.4B98.4B9.B.5B83.2A
111.4B10.4B$36.4B7.4B96.4B6.4B104.4B6.4B100.4B15.4B100.4B11.4B96.4B
15.2B195.4B12.2B$35.4B9.4B94.4B8.4B102.4B8.4B98.4B17.4B98.4B13.4B94.
4B212.4B$34.4B11.2B94.4B10.3B101.4B10.3B97.4B19.4B96.4B15.3B93.4B212.
4B$33.4B107.4B12.B101.4B12.B97.4B21.3B95.4B17.2B92.4B139.C72.4B$32.4B
107.4B114.4B110.4B119.4B111.4B29.C109.2C71.4B$31.4B107.4B114.4B110.4B
119.4B111.4B29.2C109.C.C69.4B$30.4B107.4B114.4B110.4B119.4B111.4B30.C
.C179.4B27.2C$29.4B107.4B114.4B110.4B119.4B31.C79.4B212.4B28.C.C$28.
4B26.2C79.4B114.4B110.BA2B35.2C82.4B31.2C78.BA2B212.4B29.C$27.4B27.C.
C77.4B26.3C85.4B27.3C80.2A2B35.2C82.4B32.C.C76.2A2B212.4B$26.4B28.C
78.4B27.C86.4B28.C83.2A38.C80.4B113.2A212.4B$25.4B107.4B29.C84.4B30.C
202.4B327.4B$24.4B107.4B114.4B233.4B327.4B$23.4B107.4B114.4B233.4B
327.4B$22.4B107.4B114.4B233.BA2B327.4B$21.4B107.4B114.4B233.2A2B327.A
3B$20.4B107.4B114.4B235.2A328.ABA$19.BA2B107.BA2B114.BA2B566.2A$18.2A
2B107.2A2B114.2A2B$19.2A109.2A116.2A9$781.2C$781.C.C$668.2C111.C100.C
$668.C.C210.2C$82.C585.C212.C.C$81.2C109.2C116.2C240.2C$81.C.C107.2C
116.2C122.3C116.C.C$193.C117.C121.C118.C$434.C!
I've done what I think is an exhaustive enumeration of the collisions of three gliders from two opposite directions, and none of them seems to produce a clean NE or SW glider. If someone could independently check that, I'd be most grateful. The above is pretty certainly not an exhaustive list, especially for the P2 intermediate targets, but it's good enough for a start.
Here's the basic geometry that Calcyman suggested for the HBK:
Code: Select all
x = 2668, y = 2738, rule = B3/S23
1478bo$1476b2o$1477b2o10$1521bo$1521bobo$1521b2o4$1495bobo$1495b2o$
1496bo9$1540bo$1539bo$1474bo64b3o$1473bo$1473b3o2$1443b2o$1442bo2bo$
1442bobo$1440b2obo$1439bo2bo$1439bobo$1440bo32b2o$1472bo2bo$1472bobo
44bo$1470b2obo43b2o$1469bo2bo45b2o$1469bobo$1470bo2$1457b2o$1456bo2bo$
1456bobo$1454b2obo$1453bo2bo$1453bobo$1454bo4$1421b2o$1420bo2bo$1420bo
bo$1418b2obo$1417bo2bo$1417bobo50b2o$1418bo32b2o16bo2bo$1450bo2bo15bob
o$1450bobo14b2obo$1448b2obo14bo2bo$1447bo2bo15bobo$1447bobo17bo32b2o$
1448bo50bo2bo$1499bobo$1435b2o60b2obo$1434bo2bo58bo2bo$1434bobo59bobo$
1432b2obo61bo$1431bo2bo$1431bobo50b2o$1432bo50bo2bo$1483bobo$1481b2obo
$1480bo2bo$1399b2o79bobo$1398bo2bo79bo$1398bobo$1396b2obo$1395bo2bo$
1395bobo50b2o$1396bo32b2o16bo2bo$1428bo2bo15bobo$1428bobo14b2obo$1426b
2obo14bo2bo$1425bo2bo15bobo$1425bobo17bo32b2o$1426bo50bo2bo$1477bobo$
1413b2o60b2obo$1412bo2bo58bo2bo$1412bobo59bobo$1410b2obo61bo$1409bo2bo
$1409bobo50b2o$1410bo50bo2bo$1461bobo$1459b2obo$1458bo2bo$1377b2o79bob
o$1376bo2bo79bo$1376bobo$1374b2obo$1373bo2bo$1373bobo50b2o$1374bo32b2o
16bo2bo$1406bo2bo15bobo$1406bobo14b2obo$1404b2obo14bo2bo$1403bo2bo15bo
bo$1403bobo17bo32b2o$1404bo50bo2bo$1455bobo$1391b2o60b2obo$1390bo2bo
58bo2bo$1390bobo59bobo$1388b2obo61bo$1387bo2bo$1387bobo50b2o$1388bo50b
o2bo$1439bobo$1437b2obo$1436bo2bo$1355b2o79bobo$1354bo2bo79bo$1354bobo
$1352b2obo$1351bo2bo$1351bobo50b2o$1352bo32b2o16bo2bo$1384bo2bo15bobo$
1384bobo14b2obo$1382b2obo14bo2bo$1381bo2bo15bobo$1381bobo17bo32b2o$
1382bo50bo2bo$1433bobo$1369b2o60b2obo$1368bo2bo58bo2bo$1368bobo59bobo$
1366b2obo61bo$1365bo2bo$1365bobo50b2o$1366bo50bo2bo$1417bobo$1415b2obo
$1414bo2bo$1333b2o79bobo$1332bo2bo79bo$1332bobo$1330b2obo$1329bo2bo$
1329bobo50b2o$1330bo32b2o16bo2bo$1362bo2bo15bobo$1362bobo14b2obo$1360b
2obo14bo2bo$1359bo2bo15bobo$1359bobo17bo32b2o$1360bo50bo2bo$1411bobo$
1347b2o60b2obo$1346bo2bo58bo2bo$1346bobo59bobo$1344b2obo61bo$1343bo2bo
$1343bobo50b2o$1344bo50bo2bo$1395bobo$1393b2obo$1392bo2bo$1311b2o79bob
o$1310bo2bo79bo$1310bobo$1308b2obo$1307bo2bo$1307bobo50b2o$1308bo32b2o
16bo2bo$1340bo2bo15bobo$1340bobo14b2obo$1338b2obo14bo2bo$1337bo2bo15bo
bo$1337bobo17bo32b2o$1338bo50bo2bo$1389bobo$1325b2o60b2obo$1324bo2bo
58bo2bo$1324bobo59bobo$1322b2obo61bo$1321bo2bo$1321bobo50b2o$1322bo50b
o2bo$1373bobo$1371b2obo$1370bo2bo$1289b2o79bobo$1288bo2bo79bo$1288bobo
$1286b2obo$1285bo2bo$1285bobo50b2o$1286bo32b2o16bo2bo$1318bo2bo15bobo$
1318bobo14b2obo$1316b2obo14bo2bo$1315bo2bo15bobo$1315bobo17bo32b2o$
1316bo50bo2bo$1367bobo$1303b2o60b2obo$1302bo2bo58bo2bo$1302bobo59bobo$
1300b2obo61bo$1299bo2bo$1299bobo50b2o$1300bo50bo2bo$1351bobo$1349b2obo
$1348bo2bo$1267b2o79bobo$1266bo2bo79bo$1266bobo$1264b2obo$1263bo2bo$
1263bobo50b2o$1264bo32b2o16bo2bo$1296bo2bo15bobo$1296bobo14b2obo$1294b
2obo14bo2bo$1293bo2bo15bobo$1293bobo17bo32b2o$1294bo50bo2bo$1345bobo$
1281b2o60b2obo$1280bo2bo58bo2bo$1280bobo59bobo$1278b2obo61bo$1277bo2bo
$1277bobo50b2o$1278bo50bo2bo$1329bobo$1327b2obo$1326bo2bo$1245b2o79bob
o$1244bo2bo79bo$1244bobo$1242b2obo$1241bo2bo$1241bobo50b2o$1242bo32b2o
16bo2bo$1274bo2bo15bobo$1274bobo14b2obo$1272b2obo14bo2bo$1271bo2bo15bo
bo$1271bobo17bo32b2o$1272bo50bo2bo$1323bobo$1259b2o60b2obo$1258bo2bo
58bo2bo$1258bobo59bobo$1256b2obo61bo$1255bo2bo$1255bobo50b2o$1256bo50b
o2bo$1307bobo$1305b2obo$1304bo2bo$1223b2o79bobo$1222bo2bo79bo$1222bobo
$1220b2obo$1219bo2bo$1219bobo50b2o$1220bo32b2o16bo2bo$1252bo2bo15bobo$
1252bobo14b2obo$1250b2obo14bo2bo$1249bo2bo15bobo$1249bobo17bo32b2o$
1250bo50bo2bo$1301bobo$1237b2o60b2obo$1236bo2bo58bo2bo$1236bobo59bobo$
1234b2obo61bo$1233bo2bo$1233bobo50b2o$1234bo50bo2bo$1285bobo$1283b2obo
$1282bo2bo$1201b2o79bobo$1200bo2bo79bo$1200bobo$1198b2obo$1197bo2bo$
1197bobo50b2o$1198bo32b2o16bo2bo$1230bo2bo15bobo$1230bobo14b2obo$1228b
2obo14bo2bo$1227bo2bo15bobo$1227bobo17bo32b2o$1228bo50bo2bo$1279bobo$
1215b2o60b2obo$1214bo2bo58bo2bo$1214bobo59bobo$1212b2obo61bo$1211bo2bo
$1211bobo50b2o$1212bo50bo2bo$1263bobo$1261b2obo$1260bo2bo$1179b2o79bob
o$1178bo2bo79bo$1178bobo$1176b2obo$1175bo2bo$1175bobo50b2o$1176bo32b2o
16bo2bo$1208bo2bo15bobo$1208bobo14b2obo$1206b2obo14bo2bo$1205bo2bo15bo
bo$1205bobo17bo32b2o$1206bo50bo2bo$1257bobo$1193b2o60b2obo$1192bo2bo
58bo2bo$1192bobo59bobo$1190b2obo61bo$1189bo2bo$1189bobo50b2o$1190bo50b
o2bo$1241bobo$1239b2obo$1238bo2bo$1157b2o79bobo$1156bo2bo79bo$1156bobo
$1154b2obo$1153bo2bo$1153bobo50b2o$1154bo32b2o16bo2bo$1186bo2bo15bobo$
1186bobo14b2obo$1184b2obo14bo2bo$1183bo2bo15bobo$1183bobo17bo32b2o$
1184bo50bo2bo$1235bobo$1171b2o60b2obo$1170bo2bo58bo2bo$1170bobo59bobo$
1168b2obo61bo$1167bo2bo$1167bobo50b2o$1168bo50bo2bo$1219bobo$1217b2obo
$1216bo2bo$1135b2o79bobo$1134bo2bo79bo$1134bobo$1132b2obo$1131bo2bo$
1131bobo50b2o$1132bo32b2o16bo2bo$1164bo2bo15bobo$1164bobo14b2obo$1162b
2obo14bo2bo$1161bo2bo15bobo$1161bobo17bo32b2o$1162bo50bo2bo$1213bobo$
1149b2o60b2obo$1148bo2bo58bo2bo$1148bobo59bobo$1146b2obo61bo$1145bo2bo
$1145bobo50b2o$1146bo50bo2bo$1197bobo$1195b2obo$1194bo2bo$1113b2o79bob
o$1112bo2bo79bo$1112bobo$1110b2obo$1109bo2bo$1109bobo50b2o$1110bo32b2o
16bo2bo$1142bo2bo15bobo$1142bobo14b2obo$1140b2obo14bo2bo$1139bo2bo15bo
bo$1139bobo17bo32b2o$1140bo50bo2bo$1191bobo$1127b2o60b2obo$1126bo2bo
58bo2bo$1126bobo59bobo$1124b2obo61bo$1123bo2bo$1123bobo50b2o$1124bo50b
o2bo$1175bobo$1173b2obo$1172bo2bo$1091b2o79bobo$1090bo2bo79bo$1090bobo
$1088b2obo$1087bo2bo$1087bobo50b2o$1088bo32b2o16bo2bo$1120bo2bo15bobo$
1120bobo14b2obo$1118b2obo14bo2bo$1117bo2bo15bobo$1117bobo17bo32b2o$
1118bo50bo2bo$1169bobo$1105b2o60b2obo$1104bo2bo58bo2bo$1104bobo59bobo$
1102b2obo61bo$1101bo2bo$1101bobo50b2o$1102bo50bo2bo$1153bobo$1151b2obo
$1150bo2bo$1069b2o79bobo$1068bo2bo79bo$1068bobo$1066b2obo$1065bo2bo$
1065bobo50b2o$1066bo32b2o16bo2bo$1098bo2bo15bobo$1098bobo14b2obo$1096b
2obo14bo2bo$1095bo2bo15bobo$1095bobo17bo32b2o$1096bo50bo2bo$1147bobo$
1083b2o60b2obo$1082bo2bo58bo2bo$1082bobo59bobo$1080b2obo61bo$1079bo2bo
$1079bobo50b2o$1080bo50bo2bo$1131bobo$1129b2obo$1128bo2bo$1047b2o79bob
o$1046bo2bo79bo$1046bobo$1044b2obo$1043bo2bo$1043bobo50b2o$1044bo32b2o
16bo2bo$1076bo2bo15bobo$1076bobo14b2obo$1074b2obo14bo2bo$1073bo2bo15bo
bo$1073bobo17bo32b2o$1074bo50bo2bo$1125bobo$1061b2o60b2obo$1060bo2bo
58bo2bo$1060bobo59bobo$1058b2obo61bo$1057bo2bo$1057bobo50b2o$1058bo50b
o2bo$1109bobo$1107b2obo$1106bo2bo$1025b2o79bobo$1024bo2bo79bo$1024bobo
$1022b2obo$1021bo2bo$1021bobo50b2o$1022bo32b2o16bo2bo$1054bo2bo15bobo$
1054bobo14b2obo$1052b2obo14bo2bo$1051bo2bo15bobo$1051bobo17bo32b2o$
1052bo50bo2bo$1103bobo$1039b2o60b2obo$1038bo2bo58bo2bo$1038bobo59bobo$
1036b2obo61bo$1035bo2bo$1035bobo50b2o$1036bo50bo2bo$1087bobo$1085b2obo
$1084bo2bo$1003b2o79bobo$1002bo2bo79bo$1002bobo$1000b2obo$999bo2bo
1100b2o$999bobo50b2o1048bo2bo$1000bo32b2o16bo2bo1047bobo$1032bo2bo15bo
bo1049bo$1032bobo14b2obo$1030b2obo14bo2bo1058b2o$1029bo2bo15bobo1058bo
2bo$1029bobo17bo32b2o1025bobo$1030bo50bo2bo1025bo$1081bobo$1017b2o60b
2obo$1016bo2bo58bo2bo$1016bobo59bobo$1014b2obo61bo$1013bo2bo$1013bobo
50b2o$1014bo50bo2bo$1065bobo$1063b2obo$1062bo2bo$981b2o79bobo$980bo2bo
79bo$980bobo$978b2obo$977bo2bo$977bobo50b2o$978bo32b2o16bo2bo$1010bo2b
o15bobo$1010bobo14b2obo$1008b2obo14bo2bo$1007bo2bo15bobo$1007bobo17bo
32b2o$1008bo50bo2bo$1059bobo$995b2o60b2obo$994bo2bo58bo2bo$994bobo59bo
bo$992b2obo61bo$991bo2bo$991bobo50b2o$992bo50bo2bo$1043bobo$1041b2obo$
1040bo2bo$959b2o79bobo$958bo2bo79bo$958bobo$956b2obo$955bo2bo$955bobo
50b2o$956bo32b2o16bo2bo$988bo2bo15bobo$988bobo14b2obo$986b2obo14bo2bo$
985bo2bo15bobo$985bobo17bo32b2o$986bo50bo2bo$1037bobo$973b2o60b2obo$
972bo2bo58bo2bo$972bobo59bobo$970b2obo61bo$969bo2bo$969bobo50b2o$970bo
50bo2bo$1021bobo$1019b2obo$1018bo2bo$937b2o79bobo$936bo2bo79bo$936bobo
$934b2obo$933bo2bo$933bobo50b2o$934bo32b2o16bo2bo$966bo2bo15bobo$966bo
bo14b2obo$964b2obo14bo2bo$963bo2bo15bobo$963bobo17bo32b2o$964bo50bo2bo
$1015bobo$951b2o60b2obo$950bo2bo58bo2bo$950bobo59bobo$948b2obo61bo$
947bo2bo$947bobo50b2o$948bo50bo2bo$999bobo$997b2obo$996bo2bo$915b2o79b
obo$914bo2bo79bo$914bobo$912b2obo$911bo2bo$911bobo50b2o$912bo32b2o16bo
2bo$944bo2bo15bobo$944bobo14b2obo$942b2obo14bo2bo$941bo2bo15bobo$941bo
bo17bo32b2o$942bo50bo2bo$993bobo$929b2o60b2obo$928bo2bo58bo2bo$928bobo
59bobo$926b2obo61bo$925bo2bo$925bobo50b2o$926bo50bo2bo$977bobo$975b2ob
o$974bo2bo$893b2o79bobo$892bo2bo79bo$892bobo$890b2obo$889bo2bo$889bobo
50b2o$890bo32b2o16bo2bo$922bo2bo15bobo$922bobo14b2obo$920b2obo14bo2bo$
919bo2bo15bobo$919bobo17bo32b2o$920bo50bo2bo$971bobo$907b2o60b2obo$
906bo2bo58bo2bo$906bobo59bobo$904b2obo61bo$903bo2bo$903bobo50b2o$904bo
50bo2bo$955bobo$953b2obo$952bo2bo$871b2o79bobo$870bo2bo79bo$870bobo$
868b2obo$867bo2bo$867bobo50b2o$868bo32b2o16bo2bo$900bo2bo15bobo$900bob
o14b2obo$898b2obo14bo2bo$897bo2bo15bobo$897bobo17bo32b2o$898bo50bo2bo$
949bobo$885b2o60b2obo$884bo2bo58bo2bo$884bobo59bobo$882b2obo61bo$881bo
2bo$881bobo50b2o$882bo50bo2bo$933bobo$931b2obo$930bo2bo$849b2o79bobo$
848bo2bo79bo$848bobo$846b2obo$845bo2bo$845bobo50b2o$846bo32b2o16bo2bo$
878bo2bo15bobo$878bobo14b2obo$876b2obo14bo2bo$875bo2bo15bobo$875bobo
17bo32b2o$876bo50bo2bo$927bobo$863b2o60b2obo$862bo2bo58bo2bo$862bobo
59bobo$860b2obo61bo$859bo2bo$859bobo50b2o$860bo50bo2bo$911bobo$909b2ob
o$908bo2bo$827b2o79bobo$826bo2bo79bo$826bobo$824b2obo$823bo2bo$823bobo
50b2o$824bo32b2o16bo2bo$856bo2bo15bobo$856bobo14b2obo$854b2obo14bo2bo$
853bo2bo15bobo$853bobo17bo32b2o$854bo50bo2bo$905bobo$841b2o60b2obo$
840bo2bo58bo2bo$840bobo59bobo$838b2obo61bo$837bo2bo$837bobo50b2o$838bo
50bo2bo$889bobo$887b2obo$886bo2bo$805b2o79bobo$804bo2bo79bo$804bobo$
802b2obo$801bo2bo$801bobo50b2o$802bo32b2o16bo2bo$834bo2bo15bobo$834bob
o14b2obo$832b2obo14bo2bo$831bo2bo15bobo$831bobo17bo32b2o$832bo50bo2bo$
883bobo$819b2o60b2obo$818bo2bo58bo2bo$818bobo59bobo$816b2obo61bo$815bo
2bo$815bobo50b2o$816bo50bo2bo$867bobo$865b2obo$864bo2bo$783b2o79bobo$
782bo2bo79bo$782bobo$780b2obo$779bo2bo$779bobo50b2o$780bo32b2o16bo2bo$
812bo2bo15bobo$812bobo14b2obo$810b2obo14bo2bo$809bo2bo15bobo$809bobo
17bo32b2o$810bo50bo2bo$861bobo$797b2o60b2obo$796bo2bo58bo2bo$796bobo
59bobo$794b2obo61bo$793bo2bo$793bobo50b2o$794bo50bo2bo$845bobo$843b2ob
o$842bo2bo$761b2o79bobo$760bo2bo79bo$760bobo$758b2obo$757bo2bo$757bobo
50b2o$758bo32b2o16bo2bo$708bo81bo2bo15bobo$790bobo14b2obo$788b2obo14bo
2bo$787bo2bo15bobo$787bobo17bo32b2o$788bo50bo2bo$839bobo$775b2o60b2obo
$774bo2bo58bo2bo$774bobo59bobo$718bo53b2obo61bo$771bo2bo$771bobo50b2o$
772bo50bo2bo$823bobo$821b2obo$820bo2bo$739b2o79bobo$738bo2bo79bo$738bo
bo$728bo7b2obo$735bo2bo$735bobo50b2o$736bo32b2o16bo2bo$768bo2bo15bobo$
768bobo14b2obo$766b2obo14bo2bo$765bo2bo15bobo$765bobo17bo32b2o$766bo
50bo2bo$738bo78bobo$753b2o60b2obo$752bo2bo58bo2bo$752bobo59bobo$750b2o
bo61bo$749bo2bo$749bobo50b2o$750bo50bo2bo$801bobo$799b2obo$748bo49bo2b
o$717b2o79bobo$716bo2bo79bo$716bobo$714b2obo$713bo2bo$713bobo50b2o$
714bo32b2o16bo2bo$746bo2bo15bobo$746bobo14b2obo$744b2obo10bo3bo2bo$
743bo2bo15bobo$743bobo17bo32b2o$744bo50bo2bo$795bobo$793b2obo$730b2o
60bo2bo$729bo2bo59bobo$729bobo61bo$727b2obo$726bo2bo38bo11b2o$726bobo
50bo2bo$727bo51bobo$777b2obo$776bo2bo$695b2o79bobo$694bo2bo79bo$694bob
o$692b2obo$691bo2bo$691bobo50b2o32bo$692bo32b2o16bo2bo$724bo2bo15bobo$
724bobo14b2obo$722b2obo14bo2bo$721bo2bo15bobo$721bobo17bo32b2o$722bo
50bo2bo$773bobo$771b2obo$708b2o60bo2bo14bo$707bo2bo59bobo$707bobo61bo$
705b2obo$704bo2bo$704bobo50b2o$705bo50bo2bo$756bobo$754b2obo$673b2o78b
o2bo$672bo2bo77bobo42bo$672bobo79bo$670b2obo$669bo2bo$669bobo50b2o$
670bo32b2o16bo2bo$702bo2bo15bobo$702bobo14b2obo$700b2obo14bo2bo$699bo
2bo15bobo$699bobo17bo32b2o$700bo50bo2bo$751bobo$749b2obo$686b2o60bo2bo
$685bo2bo59bobo$685bobo61bo$683b2obo$682bo2bo$682bobo50b2o$683bo50bo2b
o$734bobo$732b2obo$651b2o78bo2bo$650bo2bo77bobo$650bobo79bo$648b2obo$
647bo2bo$647bobo50b2o$648bo32b2o16bo2bo$680bo2bo15bobo$680bobo14b2obo$
678b2obo14bo2bo$677bo2bo15bobo$677bobo17bo32b2o$678bo50bo2bo$729bobo$
727b2obo$664b2o60bo2bo$663bo2bo59bobo$663bobo61bo$661b2obo$660bo2bo$
660bobo50b2o$661bo50bo2bo$712bobo$710b2obo$629b2o78bo2bo$628bo2bo77bob
o$628bobo79bo$626b2obo$625bo2bo$625bobo50b2o$626bo32b2o16bo2bo$658bo2b
o15bobo$658bobo14b2obo$656b2obo14bo2bo$655bo2bo15bobo$655bobo17bo32b2o
$656bo50bo2bo$707bobo$705b2obo$642b2o60bo2bo$641bo2bo59bobo$641bobo61b
o$639b2obo$638bo2bo$638bobo50b2o$639bo50bo2bo$690bobo$688b2obo$607b2o
78bo2bo$606bo2bo77bobo$606bobo79bo$604b2obo$603bo2bo$603bobo50b2o$604b
o32b2o16bo2bo$636bo2bo15bobo$636bobo14b2obo$634b2obo14bo2bo$633bo2bo
15bobo$633bobo17bo32b2o$634bo50bo2bo$685bobo$683b2obo$620b2o60bo2bo$
619bo2bo59bobo$619bobo61bo$617b2obo$616bo2bo$616bobo50b2o$617bo50bo2bo
$668bobo$666b2obo$585b2o78bo2bo$584bo2bo77bobo$584bobo79bo$582b2obo$
581bo2bo$527bo53bobo50b2o$582bo32b2o16bo2bo$614bo2bo15bobo$614bobo14b
2obo$612b2obo14bo2bo$611bo2bo15bobo$611bobo17bo32b2o$612bo50bo2bo$663b
obo$661b2obo$537bo60b2o60bo2bo$597bo2bo59bobo$597bobo61bo$595b2obo$
594bo2bo$594bobo50b2o$595bo50bo2bo$646bobo$644b2obo$563b2o78bo2bo$547b
o14bo2bo77bobo$562bobo79bo$560b2obo$559bo2bo$559bobo50b2o$560bo32b2o
16bo2bo$592bo2bo15bobo$592bobo14b2obo$590b2obo14bo2bo$589bo2bo15bobo$
557bo31bobo17bo32b2o$590bo50bo2bo$641bobo$639b2obo$576b2o60bo2bo$575bo
2bo59bobo$575bobo61bo$573b2obo$572bo2bo$572bobo50b2o$567bo5bo50bo2bo$
624bobo$622b2obo$541b2o78bo2bo$540bo2bo77bobo$540bobo79bo$538b2obo$
537bo2bo$537bobo50b2o$538bo32b2o16bo2bo$570bo2bo3bo11bobo$570bobo14b2o
bo$568b2obo14bo2bo$567bo2bo15bobo$567bobo17bo32b2o$568bo50bo2bo$619bob
o$555b2o60b2obo$554bo2bo58bo2bo$554bobo59bobo$552b2obo31bo29bo$551bo2b
o$551bobo$552bo50b2o$602bo2bo$602bobo$600b2obo$519b2o78bo2bo$518bo2bo
77bobo$518bobo79bo$516b2obo77bo$515bo2bo$515bobo50b2o$516bo32b2o16bo2b
o$548bo2bo15bobo$548bobo14b2obo$546b2obo14bo2bo$545bo2bo15bobo$545bobo
17bo32b2o$546bo50bo2bo$597bobo7bo$533b2o60b2obo$532bo2bo58bo2bo$532bob
o59bobo$530b2obo61bo$529bo2bo$529bobo50b2o$530bo50bo2bo$581bobo$579b2o
bo$578bo2bo35bo$497b2o79bobo$496bo2bo79bo$496bobo$494b2obo$493bo2bo
2154bo$493bobo50b2o2102bo$494bo32b2o16bo2bo2101b3o$526bo2bo15bobo$526b
obo14b2obo$524b2obo14bo2bo$523bo2bo15bobo$523bobo17bo32b2o$524bo50bo2b
o$575bobo$511b2o60b2obo$510bo2bo58bo2bo$510bobo59bobo2092bo$508b2obo
61bo2091b2o$507bo2bo2119bo35b2o$507bobo50b2o2066b2o$508bo50bo2bo2066b
2o$559bobo$557b2obo$556bo2bo$475b2o79bobo$474bo2bo79bo$474bobo$472b2ob
o$471bo2bo$471bobo50b2o$472bo32b2o16bo2bo2117bo$504bo2bo15bobo2118bobo
$504bobo14b2obo2119b2o$502b2obo14bo2bo$501bo2bo15bobo$501bobo17bo32b2o
$502bo50bo2bo$553bobo$489b2o60b2obo$488bo2bo58bo2bo$488bobo59bobo$486b
2obo61bo$485bo2bo$485bobo50b2o$486bo50bo2bo$537bobo$535b2obo$534bo2bo$
453b2o79bobo$452bo2bo79bo$452bobo$450b2obo$449bo2bo$449bobo50b2o$450bo
32b2o16bo2bo$482bo2bo15bobo$482bobo14b2obo$480b2obo14bo2bo$479bo2bo15b
obo$479bobo17bo32b2o$480bo50bo2bo$531bobo$467b2o60b2obo$466bo2bo58bo2b
o$466bobo59bobo$464b2obo61bo$463bo2bo$463bobo50b2o$464bo50bo2bo$515bob
o$513b2obo$512bo2bo$431b2o79bobo$430bo2bo79bo$430bobo$428b2obo$427bo2b
o$427bobo50b2o$428bo32b2o16bo2bo2095b2o$460bo2bo15bobo2095bo2bo$460bob
o14b2obo2096bobo$458b2obo14bo2bo2095b2obo$457bo2bo15bobo2095bo2bo$457b
obo17bo32b2o2062bobo$458bo50bo2bo2062bo$509bobo$445b2o60b2obo2051b2o$
444bo2bo58bo2bo2051bo2bo$444bobo59bobo2052bobo$442b2obo61bo2051b2obo$
441bo2bo2113bo2bo$441bobo50b2o2062bobo$442bo50bo2bo2062bo$493bobo2094b
2o$491b2obo2094bo2bo$490bo2bo2095bobo$409b2o79bobo2094b2obo$408bo2bo
79bo2094bo2bo$408bobo2175bobo$406b2obo2177bo$405bo2bo$405bobo50b2o
2114b2o$406bo32b2o16bo2bo2095b2o15bo2bo$438bo2bo15bobo2095bo2bo14bobo$
438bobo14b2obo2096bobo13b2obo$436b2obo14bo2bo2095b2obo13bo2bo$435bo2bo
15bobo2095bo2bo14bobo$435bobo17bo32b2o2062bobo16bo$436bo50bo2bo2062bo$
487bobo$423b2o60b2obo2051b2o$422bo2bo58bo2bo2051bo2bo$422bobo59bobo
2052bobo$420b2obo61bo2051b2obo$419bo2bo2113bo2bo$419bobo50b2o2062bobo$
420bo50bo2bo2062bo$471bobo2094b2o$469b2obo2094bo2bo$468bo2bo2095bobo$
387b2o79bobo2094b2obo$386bo2bo79bo2094bo2bo$386bobo2175bobo$384b2obo
2177bo$383bo2bo$383bobo50b2o2114b2o$384bo32b2o16bo2bo2095b2o15bo2bo$
416bo2bo15bobo2095bo2bo14bobo$416bobo14b2obo2096bobo13b2obo$414b2obo
14bo2bo2095b2obo13bo2bo$413bo2bo15bobo2095bo2bo14bobo$413bobo17bo32b2o
2062bobo16bo$414bo50bo2bo2062bo$465bobo$401b2o60b2obo2051b2o$400bo2bo
58bo2bo2051bo2bo$400bobo59bobo2052bobo$398b2obo61bo2051b2obo$397bo2bo
2113bo2bo$397bobo50b2o2062bobo$398bo50bo2bo2062bo$449bobo2094b2o$447b
2obo2094bo2bo$446bo2bo2095bobo$365b2o79bobo2094b2obo$364bo2bo79bo2094b
o2bo$364bobo2175bobo$362b2obo2177bo$361bo2bo$361bobo50b2o2114b2o$362bo
32b2o16bo2bo2095b2o15bo2bo$394bo2bo15bobo2095bo2bo14bobo$394bobo14b2ob
o2096bobo13b2obo$392b2obo14bo2bo2095b2obo13bo2bo$391bo2bo15bobo2095bo
2bo14bobo$391bobo17bo32b2o2062bobo16bo$392bo50bo2bo2062bo$443bobo$379b
2o60b2obo2051b2o$378bo2bo58bo2bo2051bo2bo$378bobo59bobo2052bobo$376b2o
bo61bo2051b2obo$375bo2bo2113bo2bo$375bobo50b2o2062bobo$376bo50bo2bo
2062bo$427bobo2094b2o$425b2obo2094bo2bo$424bo2bo2095bobo$343b2o79bobo
2094b2obo$342bo2bo79bo2094bo2bo$342bobo2175bobo$340b2obo2177bo$339bo2b
o$339bobo50b2o2114b2o$340bo32b2o16bo2bo2095b2o15bo2bo$372bo2bo15bobo
2095bo2bo14bobo$372bobo14b2obo2096bobo13b2obo$370b2obo14bo2bo2095b2obo
13bo2bo$369bo2bo15bobo2095bo2bo14bobo$369bobo17bo32b2o2062bobo16bo$
370bo50bo2bo2062bo$421bobo$357b2o60b2obo2051b2o$356bo2bo58bo2bo2051bo
2bo$356bobo59bobo2052bobo$354b2obo61bo2051b2obo$353bo2bo2113bo2bo$353b
obo50b2o2062bobo$354bo50bo2bo2062bo$405bobo2094b2o$403b2obo2094bo2bo$
402bo2bo2095bobo$321b2o79bobo2094b2obo$320bo2bo79bo2094bo2bo$320bobo
2175bobo$318b2obo2177bo$317bo2bo$317bobo50b2o2114b2o$318bo32b2o16bo2bo
2095b2o15bo2bo$350bo2bo15bobo2095bo2bo14bobo$350bobo14b2obo2096bobo13b
2obo$348b2obo14bo2bo2095b2obo13bo2bo$347bo2bo15bobo2095bo2bo14bobo$
347bobo17bo32b2o2062bobo16bo$348bo50bo2bo2062bo$399bobo$335b2o60b2obo
2051b2o$334bo2bo58bo2bo2051bo2bo$334bobo59bobo2052bobo$332b2obo61bo
2051b2obo$331bo2bo2113bo2bo$331bobo50b2o2062bobo$332bo50bo2bo2062bo$
383bobo2094b2o$381b2obo2094bo2bo$380bo2bo2095bobo$299b2o79bobo2094b2ob
o$298bo2bo79bo2094bo2bo$298bobo2175bobo$296b2obo2177bo$295bo2bo$295bob
o50b2o2114b2o$296bo32b2o16bo2bo2095b2o15bo2bo$328bo2bo15bobo2095bo2bo
14bobo$328bobo14b2obo2096bobo13b2obo$326b2obo14bo2bo2095b2obo13bo2bo$
325bo2bo15bobo2095bo2bo14bobo$325bobo17bo32b2o2062bobo16bo$326bo50bo2b
o2062bo$377bobo$313b2o60b2obo2051b2o$312bo2bo58bo2bo2051bo2bo$312bobo
59bobo2052bobo$310b2obo61bo2051b2obo$309bo2bo2113bo2bo$309bobo50b2o
2062bobo$310bo50bo2bo2062bo$361bobo2094b2o$359b2obo2094bo2bo$358bo2bo
2095bobo$277b2o79bobo2094b2obo$276bo2bo79bo2094bo2bo$276bobo2175bobo$
274b2obo2177bo$273bo2bo$273bobo50b2o2114b2o$274bo32b2o16bo2bo2095b2o
15bo2bo$306bo2bo15bobo2095bo2bo14bobo$306bobo14b2obo2096bobo13b2obo$
304b2obo14bo2bo2095b2obo13bo2bo$303bo2bo15bobo2095bo2bo14bobo$303bobo
17bo32b2o2062bobo16bo$304bo50bo2bo2062bo$355bobo$291b2o60b2obo2051b2o$
290bo2bo58bo2bo2051bo2bo$290bobo59bobo2052bobo$288b2obo61bo2051b2obo$
287bo2bo2113bo2bo$287bobo50b2o2062bobo$288bo50bo2bo2062bo$339bobo2094b
2o$337b2obo2094bo2bo$336bo2bo2095bobo$255b2o79bobo2094b2obo$254bo2bo
79bo2094bo2bo$254bobo2175bobo$252b2obo2177bo$251bo2bo$251bobo50b2o
2114b2o$252bo32b2o16bo2bo2095b2o15bo2bo$284bo2bo15bobo2095bo2bo14bobo$
284bobo14b2obo2096bobo13b2obo$282b2obo14bo2bo2095b2obo13bo2bo$281bo2bo
15bobo2095bo2bo14bobo$281bobo17bo32b2o2062bobo16bo$282bo50bo2bo2062bo$
333bobo$269b2o60b2obo2051b2o$268bo2bo58bo2bo2051bo2bo$268bobo59bobo
2052bobo$266b2obo61bo2051b2obo$265bo2bo2113bo2bo$265bobo50b2o2062bobo$
266bo50bo2bo2062bo$317bobo2094b2o$315b2obo2094bo2bo$314bo2bo2095bobo$
233b2o79bobo2094b2obo$232bo2bo79bo2094bo2bo$232bobo2175bobo$230b2obo
2177bo$229bo2bo$229bobo50b2o2114b2o$230bo32b2o16bo2bo2095b2o15bo2bo$
262bo2bo15bobo2095bo2bo14bobo$262bobo14b2obo2096bobo13b2obo$260b2obo
14bo2bo2095b2obo13bo2bo$259bo2bo15bobo2095bo2bo14bobo$259bobo17bo32b2o
2062bobo16bo$260bo50bo2bo2062bo$311bobo$247b2o60b2obo2051b2o$246bo2bo
58bo2bo2051bo2bo$246bobo59bobo2052bobo$244b2obo61bo2051b2obo$243bo2bo
2113bo2bo$243bobo50b2o2062bobo$244bo50bo2bo2062bo$295bobo2094b2o$293b
2obo2094bo2bo$292bo2bo2095bobo$211b2o79bobo2094b2obo$210bo2bo79bo2094b
o2bo$210bobo2175bobo$208b2obo2177bo$207bo2bo$207bobo50b2o2114b2o$208bo
32b2o16bo2bo2095b2o15bo2bo$240bo2bo15bobo2095bo2bo14bobo$240bobo14b2ob
o2096bobo13b2obo$238b2obo14bo2bo2095b2obo13bo2bo$237bo2bo15bobo2095bo
2bo14bobo$237bobo17bo32b2o2062bobo16bo$238bo50bo2bo2062bo$289bobo$225b
2o60b2obo2051b2o$224bo2bo58bo2bo2051bo2bo$224bobo59bobo2052bobo$222b2o
bo61bo2051b2obo$221bo2bo2113bo2bo$221bobo50b2o2062bobo$222bo50bo2bo
2062bo$273bobo2094b2o$271b2obo2094bo2bo$270bo2bo2095bobo$189b2o79bobo
2094b2obo$188bo2bo79bo2094bo2bo$188bobo2175bobo$186b2obo2177bo$185bo2b
o$185bobo50b2o2114b2o$186bo32b2o16bo2bo2095b2o15bo2bo$218bo2bo15bobo
2095bo2bo14bobo$218bobo14b2obo2096bobo13b2obo$216b2obo14bo2bo2095b2obo
13bo2bo$215bo2bo15bobo2095bo2bo14bobo$215bobo17bo32b2o2062bobo16bo$
216bo50bo2bo2062bo$267bobo$203b2o60b2obo2051b2o$202bo2bo58bo2bo2051bo
2bo$202bobo59bobo2052bobo$200b2obo61bo2051b2obo$199bo2bo2113bo2bo$199b
obo50b2o2062bobo$200bo50bo2bo2062bo$251bobo2094b2o$249b2obo2094bo2bo$
248bo2bo2095bobo$167b2o79bobo2094b2obo$166bo2bo79bo2094bo2bo$166bobo
2175bobo$164b2obo2177bo$163bo2bo$163bobo50b2o2114b2o$164bo32b2o16bo2bo
2095b2o15bo2bo$196bo2bo15bobo2095bo2bo14bobo$196bobo14b2obo2096bobo13b
2obo$194b2obo14bo2bo2095b2obo13bo2bo$193bo2bo15bobo2095bo2bo14bobo$
193bobo17bo32b2o2062bobo16bo$194bo50bo2bo2062bo$245bobo$181b2o60b2obo
2051b2o$180bo2bo58bo2bo2051bo2bo$180bobo59bobo2052bobo$178b2obo61bo
2051b2obo$177bo2bo2113bo2bo$177bobo50b2o2062bobo$178bo50bo2bo2062bo$
229bobo2094b2o$227b2obo2094bo2bo$226bo2bo2095bobo$145b2o79bobo2094b2ob
o$144bo2bo79bo2094bo2bo$144bobo2175bobo$142b2obo2177bo$141bo2bo$141bob
o50b2o2114b2o$142bo32b2o16bo2bo2095b2o15bo2bo$174bo2bo15bobo2095bo2bo
14bobo$174bobo14b2obo2096bobo13b2obo$172b2obo14bo2bo2095b2obo13bo2bo$
171bo2bo15bobo2095bo2bo14bobo$171bobo17bo32b2o2062bobo16bo$172bo50bo2b
o2062bo$223bobo$159b2o60b2obo2051b2o$158bo2bo58bo2bo2051bo2bo$158bobo
59bobo2052bobo$156b2obo61bo2051b2obo$155bo2bo2113bo2bo$155bobo50b2o
2062bobo$156bo50bo2bo2062bo$207bobo2094b2o$205b2obo2094bo2bo$204bo2bo
2095bobo$123b2o79bobo2094b2obo$122bo2bo79bo2094bo2bo$122bobo2175bobo$
120b2obo2177bo$119bo2bo$119bobo50b2o2114b2o$120bo32b2o16bo2bo2095b2o
15bo2bo$152bo2bo15bobo2095bo2bo14bobo$152bobo14b2obo2096bobo13b2obo$
150b2obo14bo2bo2095b2obo13bo2bo$149bo2bo15bobo2095bo2bo14bobo$149bobo
17bo32b2o2062bobo16bo$150bo50bo2bo2062bo$201bobo$137b2o60b2obo2051b2o$
136bo2bo58bo2bo2051bo2bo$136bobo59bobo2052bobo$134b2obo61bo2051b2obo$
133bo2bo2113bo2bo$133bobo50b2o2062bobo$134bo50bo2bo2062bo$185bobo2094b
2o$183b2obo2094bo2bo$182bo2bo2095bobo$101b2o79bobo2094b2obo$100bo2bo
79bo2094bo2bo$100bobo2175bobo$98b2obo2177bo$97bo2bo$97bobo50b2o2114b2o
$98bo32b2o16bo2bo2095b2o15bo2bo$130bo2bo15bobo2095bo2bo14bobo$130bobo
14b2obo2096bobo13b2obo$128b2obo14bo2bo2095b2obo13bo2bo$127bo2bo15bobo
2095bo2bo14bobo$127bobo17bo32b2o2062bobo16bo$128bo50bo2bo2062bo$179bob
o$115b2o60b2obo2051b2o$114bo2bo58bo2bo2051bo2bo$114bobo59bobo2052bobo$
112b2obo61bo2051b2obo$111bo2bo2113bo2bo$111bobo50b2o2062bobo$112bo50bo
2bo2062bo$163bobo2094b2o$161b2obo2094bo2bo$160bo2bo2095bobo$79b2o79bob
o2094b2obo$78bo2bo79bo2094bo2bo$78bobo2175bobo$76b2obo2177bo$75bo2bo$
75bobo50b2o2114b2o$76bo32b2o16bo2bo2095b2o15bo2bo$108bo2bo15bobo2095bo
2bo14bobo$108bobo14b2obo2096bobo13b2obo$106b2obo14bo2bo2095b2obo13bo2b
o$105bo2bo15bobo2095bo2bo14bobo$105bobo17bo32b2o2062bobo16bo$106bo50bo
2bo2062bo$157bobo$93b2o60b2obo2051b2o$92bo2bo58bo2bo2051bo2bo$92bobo
59bobo2052bobo$90b2obo61bo2051b2obo$89bo2bo2113bo2bo$89bobo50b2o2062bo
bo$90bo50bo2bo2062bo$141bobo2094b2o$139b2obo2094bo2bo$138bo2bo2095bobo
$57b2o79bobo2094b2obo$56bo2bo79bo2094bo2bo$56bobo2175bobo$54b2obo2177b
o$53bo2bo$53bobo50b2o2114b2o$54bo32b2o16bo2bo2095b2o15bo2bo$86bo2bo15b
obo2095bo2bo14bobo$86bobo14b2obo2096bobo13b2obo$84b2obo14bo2bo2095b2ob
o13bo2bo$83bo2bo15bobo2095bo2bo14bobo$83bobo17bo32b2o2062bobo16bo$84bo
50bo2bo2062bo$135bobo$71b2o60b2obo2051b2o$70bo2bo58bo2bo2051bo2bo$70bo
bo59bobo2052bobo$68b2obo61bo2051b2obo$67bo2bo2113bo2bo$67bobo50b2o
2062bobo$68bo50bo2bo2062bo$119bobo2094b2o$117b2obo2094bo2bo$116bo2bo
2095bobo$116bobo2094b2obo$117bo2094bo2bo$2212bobo$2213bo2$84b2o2114b2o
$83bo2bo2095b2o15bo2bo$83bobo2095bo2bo14bobo$81b2obo2096bobo13b2obo$
80bo2bo2095b2obo13bo2bo$80bobo2095bo2bo14bobo$81bo32b2o2062bobo16bo$
113bo2bo2062bo$113bobo$111b2obo2051b2o$110bo2bo2051bo2bo$110bobo2052bo
bo$111bo2051b2obo$2162bo2bo$98b2o2062bobo$97bo2bo2062bo$97bobo2094b2o$
95b2obo2094bo2bo$94bo2bo2095bobo$94bobo2094b2obo$95bo2094bo2bo$2190bob
o$2191bo2$2178b2o$2160b2o15bo2bo$2159bo2bo14bobo$2159bobo13b2obo$2o
2155b2obo13bo2bo$2o2154bo2bo14bobo$2156bobo16bo$2157bo2$2144b2o$2143bo
2bo$2143bobo$2141b2obo$2140bo2bo$2140bobo$2141bo$2172b2o$2171bo2bo$
2171bobo$13b2o2154b2obo$13b2o2153bo2bo$2168bobo$2169bo2$18b2o2136b2o$
18b2o2118b2o15bo2bo$2137bo2bo14bobo$2137bobo13b2obo$2135b2obo13bo2bo$
2134bo2bo14bobo$2134bobo16bo$2135bo2$2122b2o$28b2o2091bo2bo$28b2o2091b
obo$2119b2obo$2118bo2bo$2118bobo$2119bo$2150b2o$2149bo2bo$2149bobo$
2147b2obo$2146bo2bo$2146bobo$2147bo2$2134b2o$41b2o2073b2o15bo2bo$41b2o
2072bo2bo14bobo$2115bobo13b2obo$2113b2obo13bo2bo$2112bo2bo14bobo$46b2o
2064bobo16bo$46b2o2065bo2$2100b2o$2099bo2bo$2099bobo$2097b2obo$2096bo
2bo$2096bobo$2097bo$2128b2o$2127bo2bo$2127bobo$2125b2obo$2124bo2bo$
2124bobo$2125bo2$2112b2o$2094b2o15bo2bo$2093bo2bo14bobo$2093bobo13b2ob
o$2091b2obo13bo2bo$2090bo2bo14bobo$2090bobo16bo$2091bo2$2078b2o$2077bo
2bo$2077bobo$2075b2obo$2074bo2bo$2074bobo$2075bo$2106b2o$2105bo2bo$
2105bobo$2103b2obo$2102bo2bo$2102bobo$2103bo2$2090b2o$2072b2o15bo2bo$
2071bo2bo14bobo$2071bobo13b2obo$2069b2obo13bo2bo$2068bo2bo14bobo$2068b
obo16bo$2069bo2$2056b2o$2055bo2bo$2055bobo$2053b2obo$2052bo2bo$2052bob
o$2053bo$2084b2o$2083bo2bo$2083bobo$2081b2obo$2080bo2bo$2080bobo$2081b
o2$2068b2o$2050b2o15bo2bo$2049bo2bo14bobo$2049bobo13b2obo$2047b2obo13b
o2bo$2046bo2bo14bobo$2046bobo16bo$2047bo2$2034b2o$2033bo2bo$2033bobo$
2031b2obo$2030bo2bo$2030bobo$2031bo$2062b2o$2061bo2bo$2061bobo$2059b2o
bo$2058bo2bo$2058bobo$2059bo2$2046b2o$2028b2o15bo2bo$2027bo2bo14bobo$
2027bobo13b2obo$2025b2obo13bo2bo$2024bo2bo14bobo$2024bobo16bo$2025bo2$
2012b2o$2011bo2bo$2011bobo$2009b2obo$2008bo2bo$2008bobo$2009bo$2040b2o
$2039bo2bo$2039bobo$2037b2obo$2036bo2bo$2036bobo$2037bo2$2024b2o$2006b
2o15bo2bo$2005bo2bo14bobo$2005bobo13b2obo$2003b2obo13bo2bo$2002bo2bo
14bobo$2002bobo16bo$2003bo2$1990b2o$1989bo2bo$1989bobo$1987b2obo$1986b
o2bo$1986bobo$1987bo$2018b2o$2017bo2bo$2017bobo$2015b2obo$2014bo2bo$
2014bobo$2015bo2$2002b2o$1984b2o15bo2bo$1983bo2bo14bobo$1983bobo13b2ob
o$1981b2obo13bo2bo$1980bo2bo14bobo$1980bobo16bo$1981bo2$1968b2o$1967bo
2bo$1967bobo$1965b2obo$1964bo2bo$1964bobo$1965bo$1996b2o$1995bo2bo$
1995bobo$1993b2obo$1992bo2bo$1992bobo$1993bo2$1980b2o$1962b2o15bo2bo$
1961bo2bo14bobo$1961bobo13b2obo$1959b2obo13bo2bo$1958bo2bo14bobo$1958b
obo16bo$1959bo2$1946b2o$1945bo2bo$1945bobo$1943b2obo$1942bo2bo$1942bob
o$1943bo$1974b2o$1973bo2bo$1973bobo$1971b2obo$1970bo2bo$1970bobo$1971b
o2$1958b2o$1940b2o15bo2bo$1939bo2bo14bobo$1939bobo13b2obo$1937b2obo13b
o2bo$1936bo2bo14bobo$1936bobo16bo$1937bo2$1924b2o$1923bo2bo$1923bobo$
1921b2obo$1920bo2bo$1920bobo$1921bo$1952b2o$1951bo2bo$1951bobo$1949b2o
bo$1948bo2bo$1948bobo$1949bo2$1936b2o$1918b2o15bo2bo$1917bo2bo14bobo$
1917bobo13b2obo$1915b2obo13bo2bo$1914bo2bo14bobo$1914bobo16bo$1915bo2$
1902b2o$1901bo2bo$1901bobo$1899b2obo$1898bo2bo$1898bobo$1899bo$1930b2o
$1929bo2bo$1929bobo$1927b2obo$1926bo2bo$1926bobo$1927bo2$1914b2o$1896b
2o15bo2bo$1895bo2bo14bobo$1895bobo13b2obo$1893b2obo13bo2bo$1892bo2bo
14bobo$1892bobo16bo$1893bo2$1880b2o$1879bo2bo$1879bobo$1877b2obo$1876b
o2bo$1876bobo$1877bo$1908b2o$1907bo2bo$1907bobo$1905b2obo$1904bo2bo$
1904bobo$1905bo2$1892b2o$1874b2o15bo2bo$1873bo2bo14bobo$1873bobo13b2ob
o$1871b2obo13bo2bo$1870bo2bo14bobo$1870bobo16bo$1871bo2$1858b2o$1857bo
2bo$1857bobo$1855b2obo$1854bo2bo$1854bobo$1855bo$1886b2o$1885bo2bo$
1885bobo$1883b2obo$1882bo2bo$1882bobo$1883bo2$1870b2o$1869bo2bo$1869bo
bo$1867b2obo$1866bo2bo$1866bobo$1867bo179$1668b2o$1667bo2bo$1667bobo$
1665b2obo$1664bo2bo$1664bobo$1665bo2$1652b2o$1651bo2bo$1651bobo$1649b
2obo$1648bo2bo$1648bobo$1649bo$1680b2o$1679bo2bo$1679bobo$1677b2obo$
1676bo2bo$1676bobo$1677bo2$1664b2o$1646b2o15bo2bo$1645bo2bo14bobo$
1645bobo13b2obo$1643b2obo13bo2bo$1642bo2bo14bobo$1642bobo16bo$1643bo2$
1630b2o$1629bo2bo$1629bobo$1627b2obo$1626bo2bo$1626bobo$1627bo$1658b2o
$1657bo2bo$1657bobo$1655b2obo$1654bo2bo$1654bobo$1655bo2$1642b2o$1624b
2o15bo2bo$1623bo2bo14bobo$1623bobo13b2obo$1621b2obo13bo2bo$1620bo2bo
14bobo$1620bobo16bo$1621bo2$1608b2o$1607bo2bo$1607bobo$1605b2obo$1604b
o2bo$1604bobo$1605bo$1636b2o$1635bo2bo$1635bobo$1633b2obo$1632bo2bo$
1632bobo$1633bo2$1620b2o$1602b2o15bo2bo$1601bo2bo14bobo$1601bobo13b2ob
o$1599b2obo13bo2bo$1598bo2bo14bobo$1598bobo16bo$1599bo2$1586b2o$1585bo
2bo$1585bobo$1583b2obo$1582bo2bo$1582bobo$1583bo$1614b2o$1613bo2bo$
1613bobo$1611b2obo$1610bo2bo$1610bobo$1611bo2$1598b2o$1580b2o15bo2bo$
1579bo2bo14bobo$1579bobo13b2obo$1577b2obo13bo2bo$1576bo2bo14bobo$1576b
obo16bo$1577bo2$1564b2o$1563bo2bo$1563bobo$1561b2obo$1560bo2bo$1560bob
o$1561bo$1592b2o$1591bo2bo$1591bobo$1589b2obo$1588bo2bo$1588bobo$1589b
o2$1576b2o$1558b2o15bo2bo$1557bo2bo14bobo$1557bobo13b2obo$1555b2obo13b
o2bo$1554bo2bo14bobo$1554bobo16bo$1555bo2$1542b2o$1541bo2bo$1541bobo$
1539b2obo$1538bo2bo$1538bobo$1539bo$1570b2o$1569bo2bo$1569bobo$1567b2o
bo$1566bo2bo$1566bobo$1567bo2$1554b2o$1536b2o15bo2bo$1535bo2bo14bobo$
1535bobo13b2obo$1533b2obo13bo2bo$1532bo2bo14bobo$1532bobo16bo$1533bo2$
1520b2o$1519bo2bo$1519bobo$1517b2obo$1516bo2bo$1516bobo$1517bo$1548b2o
$1547bo2bo$1547bobo$1545b2obo$1544bo2bo$1544bobo$1545bo2$1532b2o$1514b
2o15bo2bo$1513bo2bo14bobo$1513bobo13b2obo$1511b2obo13bo2bo$1510bo2bo
14bobo$1510bobo16bo$1511bo2$1498b2o$1497bo2bo$1497bobo$1495b2obo$1494b
o2bo$1494bobo$1495bo$1526b2o$1525bo2bo$1525bobo$1523b2obo$1522bo2bo$
1522bobo$1523bo2$1510b2o$1492b2o15bo2bo$1491bo2bo14bobo$1491bobo13b2ob
o$1489b2obo13bo2bo$1488bo2bo14bobo$1488bobo16bo$1489bo2$1476b2o$1475bo
2bo$1475bobo$1473b2obo$1472bo2bo$1472bobo$1473bo$1504b2o$1503bo2bo$
1503bobo$1501b2obo$1500bo2bo$1500bobo$1501bo2$1488b2o$1470b2o15bo2bo$
1469bo2bo14bobo$1469bobo13b2obo$1467b2obo13bo2bo$1466bo2bo14bobo$1466b
obo16bo$1467bo2$1454b2o$1453bo2bo$1453bobo$1451b2obo$1450bo2bo$1450bob
o$1451bo$1482b2o$1481bo2bo$1481bobo$1479b2obo$1478bo2bo$1478bobo$1479b
o2$1466b2o$1448b2o15bo2bo$1447bo2bo14bobo$1447bobo13b2obo$1445b2obo13b
o2bo$1444bo2bo14bobo$1444bobo16bo$1445bo2$1432b2o$1431bo2bo$1431bobo$
1429b2obo$1428bo2bo$1428bobo$1429bo$1460b2o$1459bo2bo$1459bobo$1457b2o
bo$1456bo2bo$1456bobo$1457bo2$1444b2o$1426b2o15bo2bo$1425bo2bo14bobo$
1425bobo13b2obo$1423b2obo13bo2bo$1422bo2bo14bobo$1422bobo16bo$1423bo2$
1410b2o$1409bo2bo$1409bobo$1407b2obo$1406bo2bo$1406bobo$1407bo$1438b2o
$1437bo2bo$1437bobo$1435b2obo$1434bo2bo$1434bobo$1435bo2$1422b2o$1404b
2o15bo2bo$1403bo2bo14bobo$1403bobo13b2obo$1401b2obo13bo2bo$1400bo2bo
14bobo$1400bobo16bo$1401bo2$1388b2o$1387bo2bo$1387bobo$1385b2obo$1384b
o2bo$1384bobo$1385bo$1416b2o$1415bo2bo$1415bobo$1413b2obo$1412bo2bo$
1412bobo$1413bo2$1400b2o$1382b2o15bo2bo$1381bo2bo14bobo$1381bobo13b2ob
o$1379b2obo13bo2bo$1378bo2bo14bobo$1378bobo16bo$1379bo2$1366b2o$1365bo
2bo$1365bobo$1363b2obo$1362bo2bo$1362bobo$1363bo$1394b2o$1393bo2bo$
1393bobo$1391b2obo$1390bo2bo$1390bobo$1391bo2$1378b2o$1360b2o15bo2bo$
1359bo2bo14bobo$1359bobo13b2obo$1357b2obo13bo2bo$1356bo2bo14bobo$1356b
obo16bo$1357bo2$1344b2o$1343bo2bo$1343bobo$1341b2obo$1340bo2bo$1340bob
o$1341bo$1372b2o$1371bo2bo$1371bobo$1369b2obo$1368bo2bo$1368bobo$1369b
o2$1356b2o$1338b2o15bo2bo$1337bo2bo14bobo$1337bobo13b2obo$1335b2obo13b
o2bo$1334bo2bo14bobo$1334bobo16bo$1335bo2$1322b2o$1321bo2bo$1321bobo$
1319b2obo$1318bo2bo$1318bobo$1319bo$1350b2o$1349bo2bo$1349bobo$1347b2o
bo$1346bo2bo$1346bobo$1347bo2$1334b2o$1316b2o15bo2bo$1315bo2bo14bobo$
1315bobo13b2obo$1313b2obo13bo2bo$1312bo2bo14bobo$1312bobo16bo$1313bo2$
1300b2o$1299bo2bo$1299bobo$1297b2obo$1296bo2bo$1296bobo$1297bo$1328b2o
$1327bo2bo$1327bobo$1325b2obo$1324bo2bo$1324bobo$1325bo2$1312b2o$1294b
2o15bo2bo$1293bo2bo14bobo$1293bobo13b2obo$1291b2obo13bo2bo$1290bo2bo
14bobo$1290bobo16bo$1291bo2$1278b2o$1277bo2bo$1277bobo$1275b2obo$1274b
o2bo$1274bobo$1275bo$1306b2o$1305bo2bo$1305bobo$1303b2obo$1302bo2bo$
1302bobo$1303bo2$1290b2o$1272b2o15bo2bo$1271bo2bo14bobo$1271bobo13b2ob
o$1269b2obo13bo2bo$1268bo2bo14bobo$1268bobo16bo$1269bo2$1256b2o$1255bo
2bo$1255bobo$1253b2obo$1252bo2bo$1252bobo$1253bo$1284b2o$1283bo2bo$
1283bobo$1281b2obo$1280bo2bo$1280bobo$1281bo2$1268b2o$1250b2o15bo2bo$
1249bo2bo14bobo$1249bobo13b2obo$1247b2obo13bo2bo$1246bo2bo14bobo$1246b
obo16bo$1247bo2$1234b2o$1233bo2bo$1233bobo$1231b2obo$1230bo2bo$1230bob
o$1231bo$1262b2o$1261bo2bo$1261bobo$1259b2obo$1258bo2bo$1258bobo$1259b
o2$1246b2o$1228b2o15bo2bo$1227bo2bo14bobo$1227bobo13b2obo$1225b2obo13b
o2bo$1224bo2bo14bobo$1224bobo16bo$1225bo2$1212b2o$1211bo2bo$1211bobo$
1209b2obo$1208bo2bo$1208bobo$1209bo$1240b2o$1239bo2bo$1239bobo$1237b2o
bo$1236bo2bo$1236bobo$1237bo2$1224b2o$1206b2o15bo2bo$1205bo2bo14bobo$
1205bobo13b2obo$1203b2obo13bo2bo$1202bo2bo14bobo$1202bobo16bo$1203bo2$
1190b2o$1189bo2bo$1189bobo$1187b2obo$1186bo2bo$1186bobo$1187bo$1218b2o
$1217bo2bo$1217bobo$1215b2obo$1214bo2bo$1214bobo$1215bo2$1202b2o$1184b
2o15bo2bo$1183bo2bo14bobo$1183bobo13b2obo$1181b2obo13bo2bo$1180bo2bo
14bobo$1180bobo16bo$1181bo2$1168b2o$1167bo2bo$1167bobo$1165b2obo$1164b
o2bo$1164bobo$1165bo$1196b2o$1195bo2bo$1195bobo$1193b2obo$1192bo2bo$
1192bobo$1193bo2$1180b2o$1179bo2bo$1179bobo$1177b2obo$1176bo2bo$1176bo
bo$1177bo38$1111b2o$1111b2o4$1116b2o$1116b2o9$1123b2o$1123b2o4$1128b2o
$1128b2o!
This is a little messy, but it basically shows that you can cycle through a wide "shooting range" of northeastward glider lanes, and either fire or not fire a glider on each lane as it goes by. That will eventually add up to a workable slow salvo that can hit targets in the NE and construct one-time glider turners and glider splitters. When triggered, these will have to produce ten gliders in the same relative spacetime locations as the originals, but offset by (-3,-6) [and a lot of ticks].
Remaining problems are:
1) have to figure out how to absorb the gliders in the southwest somehow, when their work is finally done. This may require a southwestward slow salvo, which might require twenty gliders instead of ten, and twice as many half-bakery chains. It would be nice to find a way to avoid that.
One possible option would be to build and then trigger a freeze-dried SW slow salvo somewhere in the northeast. The SW salvo will be much shorter than the NE-ward one -- there's much less stuff that needs to be constructed and moved around in the SW -- so the freeze-dried salvo could be constructed in parallel at not much extra cost.
2) currently it's only possible to fire gliders on one lane color -- every other glider lane is unreachable. I
think that
monochromatic slow salvo toolkits can be put together with no problem, but nobody has actually done anything like that yet...! If it works, then we can use regular P2 slow salvos for everything past the first monochromatic single-parity slow elbow.*
It might be possible to work out a way to change the parity or the glider color in mid-stream, by using singleton half-bakeries to re-synchronize one or more of the gliders in a four-glider recipe, to turn it into a different recipe... but I'm not holding my breath on that one.
-- Or elbows: it will almost certainly make sense to start with a line of at least three target objects in the northeast, maybe as many as ten or twelve. Each time the current glider lane scans across a target, we'll have the opportunity to hit it with at least one more glider, and often two or more.
3) Now we really need a nice extensive collection of "dirty OTTs" -- the cheapest possible objects that, when hit by a slow salvo, produce a single glider going 0, 90, 180 or 270 degrees from the original salvo... and in this case we also want a piece of junk left over. Ideally the junk would be identical to the original object, but displaced by (-3,-6).
* Does this "slow elbow" terminology make sense to everyone? I'd be happy to explain in more detail if there are any questions.