I have found a way to synthesise arbitrary 2x4N block arrays in 8N gliders - here are examples for N=11 and N=137:
Code:
Select all
x = 129, y = 162, rule = B3/S23
43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo$17b2o$55bo$
54bo$54b3o2$43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$5bo53b2o31bo
bo13b2ob2o13bobo$6b2o86bo13b2ob2o13bo$5b2o11bo$16bobo89b2ob2o$17b2o89b
2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o
31b2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob
2o2$100b3o5b2ob2o5b3o$108b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b
2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo10$3o$2bo$bo!
Code:
Select all
x = 129, y = 1674, rule = B3/S23
43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo$17b2o$55bo$
54bo$54b3o2$43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$5bo53b2o31bo
bo13b2ob2o13bobo$6b2o86bo13b2ob2o13bo$5b2o11bo$16bobo89b2ob2o$17b2o89b
2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o
31b2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob
2o2$100b3o5b2ob2o5b3o$108b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b
2o$3o89bobo13b2ob2o13bobo$2bo91bo13b2ob2o13bo$bo10$3o$2bo$bo!
The method is based on the following reaction from Pseudo_D4_+1_Test:
Code:
Select all
x = 17, y = 21, rule = B3/S23
bo13bo$obo11bobo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2b
o$obo11bobo$bo13bo4$bo13bo$obo11bobo$o2bo9bo2bo$o2bo9bo2bo$o2bo9bo2bo$
o2bo9bo2bo$o2bo9bo2bo$obo11bobo$bo13bo!
Script to generate syntheses for arbitrary 2x4N arrays:
Code: Select all
import golly as g
arraysize = int(g.getstring('This program can create a synthesis for any 2x4N block array. Enter a value for N.'))
g.new('2x'+str(4*arraysize)+' block array synthesis')
g.setalgo('QuickLife')
g.setrule('B3/S23')
stage1 = g.parse('''43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b2o$5b2o11bo$16bobo$17b2o$55bo$54bo$54b3o29$3o$2bo$bo!''')
for x in range(arraysize):
g.putcells(stage1, 0, 12*x, 1, 0, 0, 1, 'or')
g.run(136)
g.select(g.getrect())
g.copy()
g.reset()
g.paste(100, 18, 'or')
cleanup = g.parse('''8b3o15b3o4$8b3o15b3o$b2o31b2o$obo31bobo$2bo31bo!''')
for x in range(arraysize):
g.putcells(cleanup, 92, 21 + 12*x, 1, 0, 0, 1, 'or')
You can add two gliders at the top and bottom for an extra row of blocks:
Code:
Select all
x = 129, y = 193, rule = B3/S23
3bo55bo$bobo55bobo$2b2o55b2o10$43bo$43bobo13bo$43b2o14bobo$5bo53b2o$6b
2o$5b2o11bo$16bobo$17b2o$55bo$54bo$54b3o2$43bo$43bobo13bo$43b2o14bobo$
5bo53b2o47b2ob2o$6b2o100b2ob2o$5b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$
55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o
5b2ob2o5b3o$43b2o14bobo31b2o31b2o$5bo53b2o31bobo13b2ob2o13bobo$6b2o86b
o13b2ob2o13bo$5b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2o
b2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b
2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o
11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2o
b2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o
2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo
89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo
64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o
31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o
$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$
43bobo13bo40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2o
b2o13bobo$2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2o
b2o$55bo$54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo
40b3o5b2ob2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$
2bo3b2o86bo13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$
54bo45b3o5b2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob
2o5b3o$43b2o14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86b
o13b2ob2o13bo$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b
2ob2o5b3o$54b3o51b2ob2o2$43bo64b2ob2o$43bobo13bo40b3o5b2ob2o5b3o$43b2o
14bobo31b2o31b2o$3o2bo53b2o31bobo13b2ob2o13bobo$2bo3b2o86bo13b2ob2o13b
o$bo3b2o11bo$16bobo89b2ob2o$17b2o89b2ob2o$55bo$54bo45b3o5b2ob2o5b3o$
54b3o51b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b2o$3o89bobo13b2ob2o
13bobo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob2o2$100b3o5b2ob2o5b3o$
108b2ob2o2$108b2ob2o$100b3o5b2ob2o5b3o$93b2o31b2o$3o89bobo13b2ob2o13bo
bo$2bo91bo13b2ob2o13bo$bo$108b2ob2o$108b2ob2o8$3o$2bo$bo17$2b2o55b2o$b
obo55bobo$3bo55bo!
This means that all 2x(4N+1) arrays are constructible with 8N+2 gliders, and all 2x(4N+2) arrays are constructible with 8N+4 gliders.
Using the below 1G collision to remove 2 blocks from a 2x(4N+4) array means that all 2x(4N+3) arrays are constructible with 8N+9 gliders:
Code:
Select all
x = 8, y = 18, rule = B3/S23
$4bo$3bo$3b3o3$2b2ob2o$2b2ob2o2$2b2ob2o$2b2ob2o2$2b2ob2o$2b2ob2o2$2b2o
b2o$2b2ob2o!
In conclusion, any 2xN block array is constructible in <= 2N + 3 gliders.