spark_search giving too many results

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MathAndCode
Posts: 4803
Joined: August 31st, 2020, 5:58 pm

spark_search giving too many results

Post by MathAndCode » June 7th, 2021, 11:52 pm

For some reason, spark_search is giving me lots of incorrect results when I run it, a problem which is made even worse by the fact that each incorrect result has a bunch of duplicates. Below is a discussion that I had with Kazyan in the Discord (starting at this post) about the problem. It did not get resolved.

Code: Select all

MathAndCode
 — 
Today at 9:12 PM
@Kazyan, how long does spark_search typically take?
Kazyan
 — 
Today at 9:17 PM
1-2 minutes if you set the "Enter delay" value to something like 5.

 - If you set the "cell increase at penultimate step" to 0, it will be much more.
 - If you set the delay to something like 20, which I do when I'm trying to scan for settled-down still lifes, it will be much more.
 - If you use the octohash database as your collision set, like Goldtiger has done, it will take over an hour.
 - If you use the 2g collisions as your collision set instead of 3g or 3gb, it will take a second or two.
MathAndCode
 — 
Today at 9:17 PM
It just finished.
The population is showing as 47 million and something.
47,746,812 for generation zero
I designed the after section to pick up a variety of completions, such as a tub, boat, or claw. I now regret that.
The input pattern was something like this:

x = 89, y = 8, rule = LifeHistory
2.2C$2.2C$3.C.C$4.C76.B2.A3B$81.2BA5B$.A.4A74.3B3A2B$A5.A74.5BA2B$5.A75.8B!

Do you have any recommendations for how to use spark_search more effectively?
Also, how did you get it so that you could see how the region is supposed to interact with the reaction that one already had? Is there a way to make spark_search put the two together for context, or did you do that manually?
MathAndCode
 — 
Today at 9:36 PM
@Kazyan, is it possible to use a range for final population?
Kazyan
 — 
Today at 9:37 PM
The final population is a maximum only, I think.
As for recommendations, let me see
  
MathAndCode
 — 
Today at 9:38 PM
Actually, would setting that slow spark_search down because it would have to check all the way to when the region settles instead of just the number of generations given as the delay?
Kazyan
 — 
Today at 9:39 PM
Okay, so in your example, you're going to end up with lots and lots and lots of results that are just eaters or TWITs. Specifying some more OFF cells to constrain the conversion would be a good idea.

I don't know when final population is checked--I think it's after the Delay you specify, instead of when filly settling down.
  
Kazyan
 — 
Today at 9:39 PM
Could you rephrase this, or show an example?
  
MathAndCode
 — 
Today at 9:40 PM
A tub with tail is actually one of the things that I'm looking for.
  
MathAndCode
 — 
Today at 9:45 PM
the middle row

x = 214, y = 116, rule = B3/S23
79bo47bo$8bo68bobo46bo82bo$7bo70b2o6bo39b3o78b2o$7b3o28bo47bobo81bo37b
2o$bo37b2o4bo40b2o33bo40bo6bo31bo$2bo35b2o3b2o77bo37bobo6b3o30bo$3o41b
2o74b3o38b2o37b3o45$83bo$82b3o40bo$6bo35bo38b5o38bo82bo$5bo35bobo80b3o
78b2o$5b3o32bo3bo36bo86bo37b2o$3bo36bo3bo37b4o37bo40bo2bo35bo$4bo36b2o
bo37b4o38bo37bobo2b3o34bo$2b3o38b2o39bo37b3o38b2o37b3o2$5b2o4b3o31b2o
4b3o31b2o4b3o31b2o4b3o31b2o4b3o31b2o4b3o$5b3obobo33b3obobo33b3obobo33b
3obobo33b3obobo33b3obobo$7b2ob2o35b2ob2o35b2ob2o35b2ob2o35b2ob2o35b2o
b2o$11bo39bo39bo39bo39bo39bo$6bo3bo35bo3bo35bo3bo35bo3bo35bo3bo35bo3b
o$5bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo$6bo39bo39bo39bo39bo39bo34$
41bobo$40bo2bo37b4o$40bo40bobobo$40bo3bo35bo4bo$45bo34b3obo$40b2ob2o35b
o3bo119b2o$41bo38bo2bo40b2o78b2o$42bo38bobo40b2o2$5bo6bo32b2o5bo33b2o
4bo39bo39bo32bo6bo$4bobo3b3o32bo4b3o32bobo2b3o32b2o3b3o33bo3b3o31bobo
3b3o$5bobobo37bobo35bobobo35bobobo35bobobo34bo2bobo$6b2obob2o33b2obob
2o33b2obob2o33b2obob2o33b2obob2o32b3obob2o$9bob2o36bob2o36bob2o36bob2o
36bob2o36bob2o$6b3o37b3o37b3o37b3o37b3o37b3o$6bo39bo39bo39bo39bo39bo!

The RLE is from https://discord.com/channels/357922255553953794/370571014654001154/846586282918281246.
Kazyan
 — 
Today at 9:52 PM
I inputted that manually, yeah.
As for the TWIT, it's reasonable to just tell spark_search that it's exactly what you're looking for. You can also end the search early, in case the number of solutions starts blowing up into the hundreds or thousands.
  
MathAndCode
 — 
Today at 9:53 PM
Yes, but I'm also interested in finding things like boats, barges, and claws.
That's why I made the search so general initially.
This was the input pattern for my second search (which is still ongoing, over seventeen minutes after I started it) if I recall correctly:

x = 89, y = 8, rule = LifeHistory
2.2C$2.2C$3.C.C$4.C76.BABA3B$81.2BA5B$.A.4A74.3B3A2B$A5.A74.5BA2B$5.A75.8B!

Kazyan
 — 
Today at 9:58 PM
What were the parameters you used for that search?
  
MathAndCode
 — 
Today at 10:00 PM
direction S, delay 3, cell increase 1, horizontal offset 80, final population -1, file 3g, and symmetry default if I remember correctly
@Kazyan, it finished within a couple of minutes ago.
Kazyan
 — 
Today at 10:03 PM
Cool
MathAndCode
 — 
Today at 10:04 PM
It took between 23 and 25 minutes. The population is about but not exactly the same.
Specifically, the population of generation zero is 47,646,981.
I'm wondering whether a single glider could be triggering it.
  
MathAndCode
 — 
Today at 10:05 PM
No, that doesn't seem to be the case.
Kazyan
 — 
Today at 10:05 PM
The 20 minutes search time is probably dominated by placing those tens of thousands of solutions, yeah.
  
MathAndCode
 — 
Today at 10:05 PM
Is there any way to narrow them down?
Kazyan
 — 
Today at 10:08 PM
When you're getting hundreds of results, just stop the search. spark_search prints results as it goes, so you can check the results remaining in the Results layer.

Another thing you can do is to raise the "cell increase". Chris's documentation has a better explanation of it than I can give off-the-cuff.
MathAndCode
 — 
Today at 10:09 PM
It looks like a bunch of the problem is duplicates.
Kazyan
 — 
Today at 10:09 PM
Yeah, that will happen.
  
MathAndCode
 — 
Today at 10:09 PM
For example, here's the leftmost section.

x = 709, y = 119, rule = B3/S23
698bo$651bo47b2o$450bo48bo49bobo48bo51bo45b2o$448bobo49bo49b2o46bobo49b
3o54bo$250bo48bo49bobo48bo48b2o47b3o49bo48b2o55bo48b2o$248bobo49bo49b
2o46bobo56bo48bo49bobo46bo49bo42bo7b2o$bo49bobo48bo48bo49bobo45b2o47b
3o49bo48b2o56bobo45bo50b2o47bobo43bo3b3o41b2o$2bo49b2o46bobo49bo49b2o
53bo48bo49bobo46bo44bo6b2o40bo5b3o41bobo5bo42bo4b2o45bo45b2o$3o49bo48b

Expand
message.txt3 KB
Kazyan
 — 
Today at 10:09 PM
Try running the same search with delay and cell increase both set to 10 or so.
  
MathAndCode
 — 
Today at 10:10 PM
Won't increasing the delay make the search take longer?
Kazyan
 — 
Today at 10:10 PM
It will, but your problem is having too many results, isn't it?

Also, that output looks like there's a problem with the input file. Just a sec
MathAndCode
 — 
Today at 10:11 PM
That's one of my problems. The search time is another. The search took between 23 and 25 minutes with delay 3. I don't want to try delay 10 without something to prevent the search from taking over an hour.
Is there a way to input the results from the run that I already did?
  
MathAndCode
 — 
Today at 10:12 PM
That seems like it would be very helpful, especially for searching for individual motifs in much less time than without that option.
Kazyan
 — 
Today at 10:13 PM
Okay, slow down for a second. Your problem is that the input file is messed up and the program was printing tens of thousands of bogus results. Let's try this again.

x = 89, y = 8, rule = LifeHistory
2.2C$2.2C$3.C.C$4.C76.BABA3B$81.2BA5B$.A.4A74.3B3A2B$A5.A74.5BA2B$5.A
75.8B!

Put this on a single layer of Golly, and run spark_search while on that layer. Use the delay 3 and cell increase 1 parameters you used last time.
  
MathAndCode
 — 
Today at 10:14 PM
I believe that I used cell increase -1. Should I use that or positive one?
Kazyan
 — 
Today at 10:15 PM
Positive 1.
MathAndCode
 — 
Today at 10:16 PM
Nevermind. I was thinking of final population.
  
Kazyan
 — 
Today at 10:17 PM
Use the exact parameters quoted here. Run the problem, and tell me if the number of solutions (you'll be able to see it change in the top bar) starts off as more like 10 or more like 10,000.
  
MathAndCode
 — 
Today at 10:18 PM
It's 900 now.
Kazyan
 — 
Today at 10:18 PM
We have a problem, then. Stop the script.
Once you've stopped it, copy over a few columns of results in the Results area, just so I can see what the grids contents tend to look like.
  
MathAndCode
 — 
Today at 10:20 PM

x = 2753, y = 118, rule = B3/S23
2749bo$2747bobo$698bo1800bo49bo49bobo48bo49bobo45b2o$651bo47b2o452bo
1295bo50b2o48bo49b2o49bo49b2o$450bo48bo49bobo48bo51bo45b2o254bo49bo48b
obo47bo48bo1248bo45bobo49b2o47b3o49bo48b3o49bo$448bobo49bo49b2o46bobo
49b3o54bo246bobo45b2o49b2o46b2o49b3o295bo48bo49bobo48bo152bobo545bo47b
o52bo45b2o58bo47bo49bobo46bo49bobo40bo$250bo48bo49bobo48bo48b2o47b3o

Expand
message.txt8 KB
Kazyan
 — 
Today at 10:23 PM
Okay, so this is very wrong and I'm not sure why. It looks like spark_search has taken a blank input file, but the parameters are working.
So, to narrow stuff down, what's on the layer you ran spark_search from?
MathAndCode
 — 
Today at 10:26 PM
The layer of Golly or something else?
Kazyan
 — 
Today at 10:26 PM
The layer of Golly.
MathAndCode
 — 
Today at 10:27 PM
a bunch of glider collisions and patterns that presumably result from them
I pasted some of it earlier.
Or do you mean before running it?
Kazyan
 — 
Today at 10:28 PM
The layer before you ran spark_search--the one you were on when you pressed the appropriate button to start the script.
MathAndCode
 — 
Today at 10:29 PM
the LifeHistory input pattern, which I posted my best recollection of above
Kazyan
 — 
Today at 10:29 PM
Okay, then I give up. Everything seems in accordance with how I'd run the script.
MathAndCode
 — 
Today at 10:41 PM
For comparison, here's what I've found manually without having to deal with any technical difficulties:

x = 524, y = 282, rule = B3/S23
140bobo$140b2o$141bo249bo$389bobo$390b2o$133bo$131bobo275bo$132b2o8bob
o262b2o101bo$142b2o127bobo119bo14b2o98bobo$143bo127b2o118bobo115b2o5bo
$262bo9bo119b2o121bo$262bo252b3o$262bo2$258b3o3b3o2$262bo$262bo$262bo
258bo$520b2o$507b2o11bobo$507bobo$133b2o265b2o106bo$133bobo125b2o137bo
bo$134bo126bobo137bo$262bo5$521b2o$521bobo$147b2o265b2o105bo$147bobo
125b2o137bobo$147bo127bobo136bo$275bo15$13bo$12bo$12b3o4$4bo$3bobo$3b
2o5$2bo$obo$b2o3bo$6bobo$6b2o3$9b3o$9bo$10bo15$17bo$15b2o$16b2o$11bo$
9b2o$10b2o$o$b2o$2o3bobo4bo$5b2o4bobo$6bo4b2o15$obo$b2o$bo$6bobo$7b2o$
7bo2$5bo10b2o$4bobo8b2o$5b2o10bo$12b2o$11bobo$13bo15$12b2o$12bobo$2bo
10bo$obo$b2o$5bo5b2o$4bo5b2o$4b3o5bo$17b2o$16b2o$18bo15$17bo$15b2o$16b
2o4$13bobo$6bo6b2o$5bobo6bo$5b2o8$bo3bobo$2bo2b2o$3o3bo15$12bo$12bobo$
12b2o6$131bo$10bo120bobo$11bo4bobo112b2o$9b3o4b2o$17bo5$129bo$130bo4bo
bo$128b3o4b2o$136bo6bo$141b2o$142b2o$2b2o$3bo$3bob2o$2obobobo$2obo2bo$
3bo$3bobo$4b2o$121b2o$122bo$122bob2o$119b2obobobo$119b2obo2bo$122bo$
122bobo$123b2o$23b2o$22b2o$24bo15$19bo$obo16bobo$b2o16b2o$bo8$8b2o$7bo
2bo$8b2o4$6b2o$6bobo$7bo6$19bo$18b2o$18bobo!


Edit: Below is the output when I used gencols 2g, which at least only took a few seconds to run. (I used the input file that Kazyan posted at 10:13.)

Code: Select all

x = 56164, y = 131, rule = B3/S23
7455bo99bo49bo49bobo3203bo99bo47bo49bobo$7355bo47bo52bo48bo50b2o48bo
49b2o3103bo49bo48bo48bo49b2o47bo50b2o$7255bo47bo52bo47b2o48b3o46bobo
49b2o47b3o49bo3004bo49bo48bo48b2o49b3o46bobo48b2o46b3o49bo$7253bobo48b
2o48b3o46b2o99b2o3155bobo45b2o49b3o47b2o97b2o8436bo97bo49bo97bo2702bo
97bo49bo97bo30876bo51bo898bo51bo$7156bo97b2o47b2o157bo99bo47bo49bobo
2897bo100b2o47b2o142bo99bo49bo49bobo8288b2o47bobo48bobo45b2o47bobo48bo
bo2698b2o47bobo48bobo45b2o47bobo48bobo1610bo49bo49bobo28103bo47bo49bob
o47bo907bobo49bobo896bobo49bobo$6954bo101bo47bo52bo46bobo155bo49bo48bo
48bo49b2o47bo50b2o2700bo97bo49bo48bo48bobo143bo47bo52bo48bo50b2o48bo
49b2o7992bo97bo49bo97bo50b2o46b2o49b2o47b2o46b2o49b2o2403bo97bo49bo97b
o50b2o46b2o49b2o47b2o46b2o49b2o1561bo50b2o48bo49b2o28051bo49b2o47bo50b
2o46b2o808bo51bo48b2o50b2o796bo51bo48b2o50b2o$6904bo50b2o46bobo48bobo
48b2o48b3o47b2o55bo49bo48bo48b2o49b3o46bobo48b2o46b3o49bo2648bo49b2o
47bobo48bobo45b2o49b3o46b2o44bo47bo52bo47b2o48b3o46bobo49b2o47b3o49bo
7991b2o47bobo48bobo45b2o47bobo48bobo97bo147bo2452b2o47bobo48bobo45b2o
47bobo48bobo97bo147bo1463bo100bo45bobo49b2o47b3o49bo27903bo98bo49bobo
48b2o46b3o49bo47b2o805bobo49bobo896bobo49bobo$6902bobo49b2o48b2o49b2o
47b2o99bo56bobo45b2o49b3o47b2o97b2o2798bobo48b2o46b2o49b2o47b2o98bo42b
obo48b2o48b3o46b2o99b2o7846bo97bo49bo97bo50b2o46b2o49b2o47b2o46b2o49b
2o2403bo97bo49bo97bo50b2o46b2o49b2o47b2o46b2o49b2o1610bo47bo52bo47bo
52bo45b2o58bo98bo27796bo49bo48bo49bo48bo50b2o41bo100bo48bo712bo51bo48b
2o50b2o796bo51bo48b2o50b2o$6655bo48bo49bobo48bo49bobo45b2o99bo156bo
100b2o47b2o2748bo48bo49bobo46bo49bobo48b2o98bo144bo97b2o47b2o8045b2o
47bobo48bobo45b2o47bobo48bobo97bo147bo94bo48bo49bobo48bo48bo49bobo
2106b2o47bobo48bobo45b2o47bobo48bobo97bo147bo95bo48bo49bobo48bo48bo49b
obo1312bobo48b2o48b3o48b2o48b3o55bo48bo48bobo48bobo27743bobo48bobo45b
2o49b3o45b2o49b3o39bo52bo46bobo48bobo49bo709bobo49bobo157bobo47bobo
686bobo49bobo156bobo47bobo$6653bobo49bo49b2o49bo49b2o105bo97bo49bo48bo
48bobo2849bobo45bo50b2o46bo50b2o92bo101bo47bo52bo46bobo7847bo97bo49bo
97bo50b2o46b2o49b2o47b2o46b2o49b2o339bobo49bo49b2o46bobo49bo49b2o1810b
o97bo49bo97bo50b2o46b2o49b2o47b2o46b2o49b2o340bobo49bo49b2o46bobo49bo
49b2o1214bo98b2o47b2o99b2o105b2o49b3o46b2o49b2o27695bo48b2o49b2o47b2o
97b2o91b2o48b3o47b2o49b2o47b3o609bo51bo48b2o50b2o157b2o48b2o587bo51bo
48b2o50b2o156b2o48b2o$6556bo97b2o47b3o49bo48b3o49bo54bo49b2o47bobo48bo
bo45b2o49b3o46b2o2749bo100b2o46b3o49bo46b3o49bo42bo50b2o46bobo48bobo
48b2o48b3o47b2o7845b2o47bobo48bobo45b2o47bobo48bobo97bo147bo94bo48bo
49bobo48bo48bo49bobo45b2o47b3o49bo48b2o47b3o49bo1809b2o47bobo48bobo45b
2o47bobo48bobo97bo147bo95bo48bo49bobo48bo48bo49bobo45b2o47b3o49bo48b2o
47b3o49bo1015bo48bo49bobo48bo50b2o46bobo57bo47bo49bobo46bo49bobo48b2o
98bo27546bo48bo49bobo46bo49b2o50bo40bo49bo49bobo48bo49bobo45b2o99bo
709bobo49bobo157bobo47bobo50bo49bo585bobo49bobo156bobo47bobo50bo49bo$
6355bo100bo46bobo48bobo47bobo304bobo48b2o46b2o49b2o47b2o98bo2550bo98bo
48bobo48bobo45bobo290bobo49b2o48b2o49b2o47b2o99bo7550bo97bo49bo97bo50b
2o46b2o49b2o47b2o46b2o49b2o339bobo49bo49b2o46bobo49bo49b2o1810bo97bo
49bo97bo50b2o46b2o49b2o47b2o46b2o49b2o340bobo49bo49b2o46bobo49bo49b2o
1310bobo49bo49b2o46bobo49b2o48b2o55b2o47bo50b2o46bo50b2o27645bobo48bob
o45bo50b2o47bobo48b2o40bo50b2o48bo49b2o49bo49b2o756bo51bo48b2o50b2o
157b2o48b2o587bo51bo48b2o50b2o156b2o48b2o$6255bo47bo52bo46bobo48bobo
47b2o49b2o48b2o55bo48bo49bobo46bo49bobo48b2o98bo2649bo49bo48bo48bobo
48bobo46b2o49b2o46b2o44bo48bo49bobo48bo49bobo45b2o99bo7749b2o47bobo48b
obo45b2o47bobo48bobo97bo147bo94bo48bo49bobo48bo48bo49bobo45b2o47b3o49b
o48b2o47b3o49bo1809b2o47bobo48bobo45b2o47bobo48bobo97bo147bo95bo48bo
49bobo48bo48bo49bobo45b2o47b3o49bo48b2o47b3o49bo1214bo97b2o47b3o49bo
48b2o56bo42bo57b2o46b3o49bo46b3o49bo27595bo49b2o49b2o46b3o49bo47b2o43b
o45bobo49b2o47b3o49bo48b3o49bo755bobo49bobo157bobo47bobo50bo49bo585bob
o49bobo156bobo47bobo50bo49bo$6253bobo48b2o48b3o47b2o49b2o47bo100bo56bo
bo45bo50b2o46bo50b2o2799bobo45b2o49b3o46b2o49b2o48bo98bo42bobo49bo49b
2o49bo49b2o6343bo1256bo97bo49bo97bo50b2o46b2o49b2o47b2o46b2o49b2o339bo
bo49bo49b2o46bobo49bo49b2o1810bo97bo49bo97bo50b2o46b2o49b2o47b2o46b2o
49b2o340bobo49bo49b2o46bobo49bo49b2o1309bo49bo49bobo47bo52bo46bobo57bo
97bo49bo48bo48bo1892bo16299bo4961bo42bobo46bo4402bo47bo49bobo47bo48bo
51bo40bo101bo47bo52bo45b2o907bo51bo48b2o50b2o157b2o48b2o587bo51bo48b2o
50b2o156b2o48b2o1737bobo$6156bo97b2o47b2o99bo156bo100b2o46b3o49bo46b3o
49bo2698bo100b2o47b2o98bo144bo97b2o47b3o49bo48b3o49bo6291bo53bo46bobo
1204b2o47bobo48bobo45b2o47bobo48bobo97bo147bo94bo48bo49bobo48bo48bo49b
obo45b2o47b3o49bo48b2o47b3o49bo1809b2o47bobo48bobo45b2o47bobo48bobo97b
o147bo95bo48bo49bobo48bo48bo49bobo45b2o47b3o49bo48b2o47b3o49bo1311b2o
48bo49b2o48b2o48b3o47b2o55b2o47bobo48bobo45b2o49b3o46bobo1842bo45bobo
16249bo50b2o4958bo43b2o47bobo4348bo49b2o47bo50b2o46b2o49b3o40bo50b2o
46bobo48bobo48b2o48b3o952bobo49bobo157bobo47bobo50bo49bo585bobo49bobo
156bobo47bobo50bo49bo1687bo49b2o$5954bo49bo49bobo47bo52bo46bobo155bo
98bo48bobo48bobo45bobo2750bo47bo49bobo47bo48bo48bobo143bo100bo46bobo
48bobo47bobo6247bo100bo48bo47bo96b2o49b3o47b2o908bo97bo49bo97bo50b2o
46b2o49b2o47b2o46b2o49b2o339bobo49bo49b2o46bobo49bo49b2o1810bo97bo49bo
97bo50b2o46b2o49b2o47b2o46b2o49b2o340bobo49bo49b2o46bobo49bo49b2o1457b
o100bo48b2o47b3o49bo48b2o99bo57b2o46b2o49b2o47b2o97b2o1642bo48bo49bobo
48bo51bo45b2o8705bo1649bo5095bo647bo147bobo49b2o4807bo98bo52b3o33bo8bo
38bo8b2o4151bo98bo49bo48bobo48b2o46b3o49bo47b2o89bobo49b2o48b2o49b2o
47b2o904bo51bo48b2o50b2o157b2o48b2o587bo51bo48b2o50b2o156b2o48b2o1590b
o48bo49bobo47bo48bo51bo$3613bo98bo1140bo100bo949bo50b2o48bo49b2o48b2o
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6bo900b2o47bobo48bobo45b2o47bobo48bobo97bo147bo94bo48bo49bobo48bo48bo
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97bo147bo95bo48bo49bobo48bo48bo49bobo45b2o47b3o49bo48b2o47b3o49bo1459b
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1506bo7094bo49bobo46bo49b2o1499bo49bobo46bo49b2o4945bo49bobo48bo50b2o
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3961bobo47bo146bo48bobo48bobo45b2o49b2o41bo100bo48bo49bobo45b2o99bo
1003bobo49bobo157bobo47bobo50bo49bo585bobo49bobo156bobo47bobo50bo49bo
1590bobo45bo50b2o46b2o49b3o$3513bo49bo42bo5bo48bobo43bo4bobo1038bo47bo
52bo5bo40bobo48bobo4bo896bo45bobo49b2o47b3o49bo48b2o99bo56bobo45b2o49b
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50b2o157b2o48b2o587bo51bo48b2o50b2o156b2o48b2o1492bo147bo51b2o46b3o49b
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256bo100b2o47b2o98bo2649bo98bo49bo48bo50b2o243bo97b2o47b2o99bo1858bo
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295bo251b2o50b2o45b2o99b3o49bo55bo49bobo696bo2393bo101bo47bo498bo759bo
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52bo258bobo48b2o48b3o105bo47bo49bobo47bo48bo48bobo2050bo798bobo45bobo
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48b2o598b2o601bo49bo97bo50b2o39bo707bo47bo49bobo46bo49b2o47bobo48bobo
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157b2o48b2o587bo51bo48b2o50b2o156b2o48b2o685bobo43bobo48bo49b2o46bobo
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47bobo48b2o242bo98b2o7bo39b2o57bo297bo48bo49b2o47bo48bo49b2o98b2o143bo
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242b2o46bobo48bobo48b2o48b3o656bo49bobo40bo7b2o46b3o42bo6bo46b3o41b2o
47b3o49bo48b2o1004bo41bo7b2o41b2o6b2o40bo6b2o41b2o46bobo6bo42b2o693bob
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2o46bobo48bobo49bo49b2o144bo51bo48b2o$102bobo1608bo48bo49bobo46bo501bo
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47b2o56bo403bo147bo49bo48bo41bo8b2o42bo46bobo48bobo47bobo1005bo97bo49b
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49b2o46bobo49bo49b2o697b2o48b2o399bo49b2o46bobo49bo49b2o247b2o48b2o
199bo6bo42b2o46bobo49bo4bo44b2o245bo95bo5b2o49b2o5b2o39bobo5b2o37bo3b
2o49b2o3b2o234b3o5b2o42b3o3b2o698b2o48b2o648b2o48b2o1049bo49b2o46bobo
49bo49b2o2748bo49b2o46bobo49bo49b2o2747b2o48b2o1649bo49b2o46bobo49bo
49b2o547b2o48b2o649bo49b2o46bobo49bo49b2o398bo49b2o46bobo49bo49b2o648b
o7bo41b2o46bobo49bo5bo43b2o790bo6b2o49b2o6b2o38bobo6b2o35bo4b2o49b2o4b
2o582b3o6b2o41b3o4b2o398b2o48b2o198b2o48b2o298b2o48b2o249bo49b2o46bobo
49bo49b2o248bo5b2o42b2o46bobo49bo3b2o44b2o340b2o5b2o49b2o5b2o39bobo4b
3o36b2o3b2o49b2o3b2o684b2o6b2o42b2o4b2o98b2o48b2o648b2o48b2o399bo49b2o
46bobo49bo49b2o698bo49b2o46bobo49bo49b2o448bo49b2o46bobo49bo49b2o797b
2o48b2o149bo49b2o46bobo49bo49b2o748bo6b2o41b2o46bobo49bo4b2o43b2o889b
2o6b2o49b2o6b2o38bobo5b3o34b2o4b2o49b2o4b2o286bo45b2o7b2o41b2o5b2o698b
2o48b2o198b2o48b2o149bo49b2o46bobo49bo49b2o397b2o48b2o448b2o48b2o198b
2o48b2o549bo49b2o46bobo49bo49b2o498bo49b2o46bobo49bo49b2o298bo5b2o42b
2o46bobo5bo43bo3b2o44b2o298b2o4b3o33bobo4b2o49b2o2b3o536b2o4b2o348b2o
598b2o449bo49b2o46bobo49bo49b2o1098bo6b2o41b2o46bobo6bo42bo4b2o43b2o
898b2o5b3o31bobo5b2o49b2o3b3o634b2o5b2o198b2o198b2o149bo49b2o46bobo49b
o49b2o498bo49b2o46bobo49bo49b2o2147b2o948b2o948b2o399bo49b2o46bobo49bo
49b2o947b2o$8bo49bo97b3o49bo48b2o47b3o49bo247b3o49bo48b2o47b3o49bo191b
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49bo547b3o49bo48b2o47b3o49bo892bo6bo44bo4bo349bo49bo799bo49bo499bo49bo
2097b3o49bo48b2o47b3o49bo399bo49bo147b3o49bo48b2o47b3o49bo2397b3o49bo
48b2o47b3o49bo699bo49bo397b3o49bo48b2o47b3o49bo249bo49bo197b3o49bo48b
2o47b3o49bo340b3o6bo49bo48b2o42b3o4bo49bo249bo49bo699bo49bo649bo49bo
1047b3o49bo48b2o47b3o49bo2747b3o49bo48b2o47b3o49bo2749bo49bo1647b3o49b
o48b2o47b3o49bo549bo49bo647b3o49bo48b2o47b3o49bo397b3o49bo48b2o47b3o
49bo647b3o49bo48b2o47b3o49bo789b3o7bo49bo48b2o41b3o5bo49bo599bo49bo
399bo49bo199bo49bo299bo49bo247b3o49bo48b2o47b3o49bo247b3o49bo48b2o47b
3o49bo340b2o7bo49bo48b2o42b2o5bo49bo699bo49bo99bo49bo649bo49bo397b3o
49bo48b2o47b3o49bo697b3o49bo48b2o47b3o49bo447b3o49bo48b2o47b3o49bo799b
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2o41b2o6bo49bo349bo49bo699bo49bo199bo49bo147b3o49bo48b2o47b3o49bo399bo
49bo449bo49bo199bo49bo547b3o49bo48b2o47b3o49bo497b3o49bo48b2o47b3o49bo
297b3o49bo48b2o47b3o49bo299bo42b2o5bo49bo549bo349bo599bo447b3o49bo48b
2o47b3o49bo1097b3o49bo48b2o47b3o49bo899bo41b2o6bo49bo649bo199bo199bo
147b3o49bo48b2o47b3o49bo497b3o49bo48b2o47b3o49bo2149bo949bo949bo397b3o
49bo48b2o47b3o49bo949bo26$24266b2o28181b2o47b2o$7653bo9bo3389bo9bo
13102b2o47b2o49b2o28081b2o47b2o49b2o47b2o$7552bo11bo36bo11bo33b2o4bo9b
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2o22748bo35b2o5b2o39bo7b2o5190b2o47b2o49b2o47b2o$7446bo23bo21b2o2bo21b
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23bo21b2o2bo21bo2b2o20bo3b2o3b3o7b3o3b2o3bo22b2o3bobo7bobo3b2o28b2o5b
2o5b2o5b2o5530b2o46bobo7315b2o47b2o49b2o47b2o143b2o22703b2o33b5o3b2o
43bo3b2o5090b2o47b2o49b2o47b2o155b2o$7346b3o19b3o72b5o5b2o7b2o5b5o23bo
2b3o9b3o2bo29bo6bo7bo6bo26b2o6bo5bo6b2o34bo9bo3082b3o19b3o72b5o5b2o7b
2o5b5o23bo2b3o9b3o2bo29bo6bo7bo6bo26b2o6bo5bo6b2o34bo9bo5293bo47bo45bo
47b2o46bobo49b2o4b2o47b2o7210b2o47b2o49b2o47b2o144bo48bo48b3o22647bo
50b2o4b2o30b4o2bo42b2o4b2o4994b2o47b2o49b2o47b2o155bo48bo50b3o49bo$
7296bo21bo26bo25bo20bob3o5b2o7b2o5b3obo19bo9b3o7b3o9bo16bo4bo6b2o5b2o
6bo4bo28b3o7b3o36bobo7bobo39bo9bo3032bo21bo26bo25bo20bob3o5b2o7b2o5b3o
bo19bo9b3o7b3o9bo16bo4bo6b2o5b2o6bo4bo28b3o7b3o36bobo7bobo39bo9bo5292b
obo45bo45b4o45bo2bo47bo48b2o4b2o40bo5bo2bo2bo7106b2o47b2o49b2o47b2o
243bobo46b2o47b6o8bo22635bobo49b2o4b2o29bo6bo41bo3bo4898b2o47b2o49b2o
47b2o254bobo47b2o38bo8b6o34bo14bo$7246b3o19b3o24b3o6bo5bo6b3o24bo5bo3b
obo3bobo3bo5bo18bobobo4bo2bo7bo2bo4bobobo22bo3b2o2b2o5b2o2b2o3bo24bo4b
3o9b3o4bo25bo6bo11bo6bo29bo11bo35bo17bo2978b3o19b3o24b3o6bo5bo6b3o24bo
5bo3bobo3bobo3bo5bo18bobobo4bo2bo7bo2bo4bobobo22bo3b2o2b2o5b2o2b2o3bo
24bo4b3o9b3o4bo25bo6bo11bo6bo29bo11bo35bo17bo5189bo47b3o47b2o46bo45bo
2b2o44bo4bo42bo2b3obo45b3o3b2o2b3o36bobo3b3ob3o7005bo48b2o49b2o47b2o
292b3o47bo12bo34b2o12bo35b3ob2obo6bobo22535bo47b3o50b2o43b3o2b2o3b3o
29b2obo45b2o4802bo47b2o49b2o47b2o303b3o38bo12bo35bo12b2o35bobo6bob2ob
3o32bobo6b2o5b2o$6854bo7bo285bo19bo27b2o19b2o26bo3bo4b3o3b3o4bo3bo22b
3obo3bo2bo3bo2bo3bob3o23b2o4bob2o2b2ob2o2b2obo4b2o19b2obo4bo13bo4bob2o
20b3o25b3o124bo17bo31b3o15b3o2585bo7bo285bo19bo27b2o19b2o26bo3bo4b3o3b
3o4bo3bo22b3obo3bo2bo3bo2bo3bob3o23b2o4bob2o2b2ob2o2b2obo4b2o19b2obo4b
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2o38bo4bo3b2o38bo2bo2bo2b2o43bo6bo2bo38bo5b2o2bo6906bo47b2o49b2o47b2o
244bo5b2o91b4o8bo36b3o9bo35b2o4bo7bobo32bo4b3o6bobo33b2o3b2obo6bobo
22534b3o46b3o52bo42bo2bo6bo82bobo4698bo48b2o49b2o47b2o248b2o5bo88bo8b
4o36bo9b3o37bobo7bo4b2o32bobo6b3o4bo34bobo6bob2o3b2o31bobo6bob2o4b2o$
6802bobo5bobo41bo7bo185bo19bo28bo19bo28b2obo5bo5bo5bob2o24b2obo5bo5bo
5bob2o24bo4bo3b4o3b4o3bo4bo20b2o2b3o2bo3bobo3bo2b3o2b2o25bo4b2o3bobo3b
2o4bo23b2o4bo3b2o5b2o3bo4b2o71b2o25b2o26b3o15b3o28bobo15bobo29bobobo
13bobobo2532bobo5bobo41bo7bo185bo19bo28bo19bo28b2obo5bo5bo5bob2o24b2ob
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3bobo3b2o4bo23b2o4bo3b2o5b2o3bo4b2o71b2o25b2o26b3o15b3o28bobo15bobo29b
obobo13bobobo3769bo1317bo47b3o47bo3bo43bo3b2o45bobobobo41b2obo2b3o39b
4o4bobo38b2o2bo3bobo41bob3o2bo49bo47b3o6907bobo45bo246bo48bo6bo42bob2o
45bo2bo8bo36bob4o3bo3bobo33bo2b3o3bo3bobo34b5ob2o2b2o2bobo31bo3bob3o2b
2o2bobo34bo5bo4bo3bo681bo48bo21705bo47b3o47bo3bo44b2o3bo44bobobobo45bo
41bobo47bo4697bobo49bo254bo41bo6bo48b2obo36bo8bo2bo37bobo3bo3b4obo33bo
bo3bo3b3o2bo35bobo2b2o2b2ob5o32bobo2b2o2b3obo3bo34bo3bo4bo5bo33bo8b3o
3b2o2244bo48bo$3610bo98bo1146bo100bo1795b3o5b3o37bo2bo5bo2bo135b3o13b
3o30bo17bo30bobo17bobo26bobo17bobo26bo2bo5bobo3bobo5bo2bo22b4o4b2ob2ob
2ob2o4b4o23bo4bo2bo2bobobobo2bo2bo4bo24b2o2bo4bobo4bo2b2o29bo3bobo2b2o
b2o2bobo3bo78bo19bo28b2o17b2o29bob2o15b2obo26bo3bo13bo3bo27b2obo8bo8bo
b2o2482b3o5b3o37bo2bo5bo2bo135b3o13b3o30bo17bo30bobo17bobo26bobo17bobo
26bo2bo5bobo3bobo5bo2bo22b4o4b2ob2ob2ob2o4b4o23bo4bo2bo2bobobobo2bo2bo
4bo24b2o2bo4bobo4bo2b2o29bo3bobo2b2ob2o2bobo3bo78bo19bo28b2o17b2o29bob
2o15b2obo26bo3bo13bo3bo27b2obo8bo8bob2o3718b3o46b3o1315bobo45bo3bo45b
3o3bo42b3obobo44b3obob2o40b2obobo3bo40b2o5bo42bo3bobo48bo50bo2bo6855bo
47b3o47bo51bo143bo4bo2bo40bo49bobo4b3o39bobo4b2o42bo5bo2bob2o34b3ob2o
3bo3bobo35bo2bob2ob2o3bobo32b3o3bo3bo3bobo34b3o7b2o3bo33bo14bo47bo633b
o49bobo45b2ob2o21702bobo45bo3bo45bo3b3o42bobob3o43b2obob3o42bo2bo42bo
48bo1874b3o2721bo47b3o51bo45bo149bo2bo4bo48bo42b3o4bobo40b2o4bobo38b2o
bo2bo5bo35bobo3bo3b2ob3o35bobo3b2ob2obo2bo33bobo3bo3bo3b3o35bo3b2o7b3o
33bo14bo38bo48b2o2205bo49bobo45b2ob2o$3559bo48bo99bobo1094bo52bo97bobo
1695b2o5b2o40b2o5b2o40bo2b2o3b2o2bo85b2o13b2o32b2o13b2o32b3obo11bob3o
27b2o19b2o27bobo6bo5bo6bobo23b2obo5b3o3b3o5bob2o23bo8b2ob2ob2ob2o8bo
20b5o3bo11bo3b5o27bobo2bobo3bobo2bobo29b2ob2o3b2ob2o3b2ob2o33bob2obo3b
ob2obo31bo19bo29bobo17bobo26bob2o15b2obo28bo3bo6bo6bo3bo26bobobo13bobo
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32b3obo11bob3o27b2o19b2o27bobo6bo5bo6bobo23b2obo5b3o3b3o5bob2o23bo8b2o
b2ob2ob2o8bo20b5o3bo11bo3b5o27bobo2bobo3bobo2bobo29b2ob2o3b2ob2o3b2ob
2o33bob2obo3bob2obo31bo19bo29bobo17bobo26bob2o15b2obo28bo3bo6bo6bo3bo
26bobobo13bobobo28b2o9bo9b2o3669bo48bo3bo7b2o35b2o2bo7b2o707bo498bo47b
3o47bo3bo44bobo2bo48b3o43bo2bobo48bobo43b4o2bo46b2o47b2o46bo2bo6908b3o
46b3o47bo2b2o91bo5bo42bo5b2o42bobo3bo2bo39bobo6b2o39bo2bo3bo4bo36bo2b
2o2bob2obo37b4o2bo2bo4bo34bo4bob3o3bobo35bo6bo6bo32bo3bo2bo4bo3bo46b2o
37bo10bo49b2o632bobo47b2ob2o44b2ob2o7202bo849bo5249bo1299bo7000bo47b3o
47bo3bo43bo2bobo45b3o46bobo2bo45bobo1249bo756b2o7bo3bo2719b3o46b3o47b
2o2bo97bo5bo41b2o5bo42bo2bo3bobo38b2o6bobo39bo4bo3bo2bo36bob2obo2b2o2b
o37bo4bo2bo2b4o33bobo3b3obo4bo36bo6bo6bo34bo3bo4bo2bo3bo37b2o47bo10bo
39b2o46bo2206bobo47b2ob2o44b2ob2o$2607b2o900b3o45b3o51bo45b3o1095b3o
47b3o47bo49b3o1646bo7bo41bo5bo42bobo5bobo37b2o2bo3bo2b2o37bo2b2obobob
2o2bo34bo3bo5bo3bo34bo2bo11bo2bo29b2o2bo11bo2b2o29bo21bo26b2o19b2o26b
2o7b3o3b3o7b2o22b2o7bobo3bobo7b2o24bob2o3b2ob3ob3ob2o3b2obo23b3o3b2obo
bobobob2o3b3o29bobo4bo3bo4bobo29b2obobobo5bobobob2o29bobobo13bobobo26b
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2o30bo3bo4bo4bo3bo2286bo7bo41bo5bo42bobo5bobo37b2o2bo3bo2b2o37bo2b2obo
bob2o2bo34bo3bo5bo3bo34bo2bo11bo2bo29b2o2bo11bo2b2o29bo21bo26b2o19b2o
26b2o7b3o3b3o7b2o22b2o7bobo3bobo7b2o24bob2o3b2ob3ob3ob2o3b2obo23b3o3b
2obobobobob2o3b3o29bobo4bo3bo4bobo29b2obobobo5bobobob2o29bobobo13bobob
o26bobo17bobo28bob2o15b2obo26bo3bo13bo3bo29bo2bo6bo6bo2bo27b2ob3o4b3o
4b3ob2o30bo3bo4bo4bo3bo3583b2o37bo9b2o36b3o8b2o36bo3b2o3bo3b2o34bobob
2o7b2o707bo498bo47b3o46b2obob2o42bo3b3o49bo47b3o49bo47b3o47bo47bo50b2o
6809bo47b3o47bo4bo43bo2b2o47bo48bo44bobo4b2obo38bobo3b4o40bo2bo7bo37bo
2bo3b3o40bo3bo3bo3b2o38b3o3bo2b3o36bo8bo4bo38bo9bo36b2o6b2o49bo50bo47b
3o49bo585bo47bobo7303bo849bo5249bo1299bo7000bo47b3o46b2obob2o42b3o3bo
45bo47b3o49bo1250bo705b2o49b2o3bo3b2o3bo2619bo47b3o46bo4bo44b2o2bo49bo
48bo46bob2o4bobo39b4o3bobo40bo7bo2bo39b3o3bo2bo38b2o3bo3bo3bo34b3o2bo
3b3o39bo4bo8bo34bo9bo45b2o6b2o38bo50bo47b3o49bo47b2o2156bo47bobo$2508b
2o8b2o37b2o8b2o37bo2bo6b2o791b2o47b2o47b2o47bo2b2o47b2obo45b2obo46bo2b
o945b2o47b2o51b2o44b2o2bo46bob2o45bob2o48bo2bo537b2o8b2o1046bo5bo41b2o
5b2o41b3o5b3o37b2o3bobo3b2o37b2o2b2o3b2o2b2o33b2o13b2o32b2ob2o11b2ob2o
27bo4bo11bo4bo27bobo4bobo5bobo4bobo24bo7b3o3b3o7bo27bo6bo2bobo2bo6bo
24bobo3b2o4bobo4b2o3bobo26bo21bo26b2o3b2o2bo3bo2b2o3b2o27bobo3b2o9b2o
3bobo25b2o3b2o9b2o3b2o28b2o5bo7bo5b2o26bobo8bo8bobo29b2o7b3o7b2o28b3o
6b3o6b3o30bo2bo6bo6bo2bo30b3o11b3o37bo9bo2291bo5bo41b2o5b2o41b3o5b3o
37b2o3bobo3b2o37b2o2b2o3b2o2b2o33b2o13b2o32b2ob2o11b2ob2o27bo4bo11bo4b
o27bobo4bobo5bobo4bobo24bo7b3o3b3o7bo27bo6bo2bobo2bo6bo24bobo3b2o4bobo
4b2o3bobo26bo21bo26b2o3b2o2bo3bo2b2o3b2o27bobo3b2o9b2o3bobo25b2o3b2o9b
2o3b2o28b2o5bo7bo5b2o26bobo8bo8bobo29b2o7b3o7b2o28b3o6b3o6b3o30bo2bo6b
o6bo2bo30b3o11b3o37bo9bo3438b2o47b2o47b2o38b3obo2bo3b2o36b3o8b2o35b2ob
2o3bo3b2o36b3o6bo39bob2o618bo47b3o448bo47b3o48bobo45bobobo45b2obo2bo
295bobo46bobo45b2ob2o6708b2o48bo49bob2o44bo3bo47b2o2bo44bo47b3o3bo39b
3o4b2obo39bo2bo4bo2bo37bo2bo4bo2bo40b2o4b2o3bo36b3o4bob4o41bo5bo2bo35b
2o2b2o4b4o36bo5bo3bo39b3o5b2o41bo8b2o37bobo6bobo49bo93b2o591bo47bobo
750b2o6451bo47b3o799bo47b3o5199bo47b3o1249bo47b3o6950bo47b3o48bobo45bo
bobo45bo2bob2o1345bo47b3o654bobo47b2o49b2o3bo2bob3o43bo6b3o2519b2o47bo
48b2obo45bo3bo45bo2b2o48bo47bo3b3o41bob2o4b3o40bo2bo4bo2bo37bo2bo4bo2b
o38bo3b2o4b2o37b4obo4b3o38bo2bo5bo39b4o4b2o2b2o41bo3bo5bo38b2o5b3o40b
2o8bo38bobo6bobo40bo104b2o47b2o2149bo47bobo1205b2o$2408b2o8b2o37b2o8b
2o38bo2bo7bo2bo34bo2bo7b2o35bobobo7b2o740bo49bobo46bob2o46b2o3bo45bo
49bobo45b2o49b2o2bo894bo49bobo45b2obo46bo3b2o46bo49bobo48b2o46bo2b2o
338b2o97b2o8b2o37b2o8b2o37bo2bo7bo2bo992b3o5b3o38bo3b2o3b2o3bo36b2o7b
2o39bo2bo5bo2bo36bo2b2o3b2o2bo36bo3b2o5b2o3bo31b3o13b3o30b5o3bo5bo3b5o
26bo21bo27bo2bo2b5o3b5o2bo2bo23b2o7bo2bobo2bo7b2o24bobo2b7o3b7o2bobo
24bob4o3bo3bo3b4obo27bo5bo11bo5bo24bobo3b2o9b2o3bobo27bo5bo9bo5bo26bo
4b3o7b3o4bo33b3o7b3o32b2o8bo8b2o80b2o15b2o34bo13bo34b2o11b2o2287b3o5b
3o38bo3b2o3b2o3bo36b2o7b2o39bo2bo5bo2bo36bo2b2o3b2o2bo36bo3b2o5b2o3bo
31b3o13b3o30b5o3bo5bo3b5o26bo21bo27bo2bo2b5o3b5o2bo2bo23b2o7bo2bobo2bo
7b2o24bobo2b7o3b7o2bobo24bob4o3bo3bo3b4obo27bo5bo11bo5bo24bobo3b2o9b2o
3bobo27bo5bo9bo5bo26bo4b3o7b3o4bo33b3o7b3o32b2o8bo8b2o80b2o15b2o34bo
13bo34b2o11b2o3487b2o47b2o37bo3b2o4b2o37bo2bobo2bo40b2obo3b3o38b2o6bob
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5b3o31bobo5b2o49b2o3b3o35bobo3b2o49b6o39bo4bo49b2o47bobo45bo2b2o46b5o
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2o46b3o48b2o48b2o48b2o48b2o$8bo49bo49bo47b3o49bo48b2o47b3o49bo48b2o47b
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49bo48b2o49bo49bo49bo49bo26$24266b2o28181b2o47b2o$24166b2o47b2o49b2o
28081b2o47b2o49b2o47b2o$7647b2o3bobo7bobo3b2o3377b2o3bobo7bobo3b2o
5530b2o47b2o7415b2o47b2o49b2o47b2o22748b2o41b2o47b2o5190b2o47b2o49b2o
47b2o$7346b2o21b2o81bo11bo37bo9bo34b2o4bo9bo4b2o26b2o4b2o7b2o4b2o28b2o
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2o4b2o28b2o3bo2bo5bo2bo3b2o5530b2o47b2o4b4o7307b2o47b2o49b2o47b2o
22848b2o37b2o2b2o43b2o2b2o5090b2o47b2o49b2o47b2o$7247bo21bo25b2o21b2o
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28b2o4b2o7b2o4b2o26b2o3b3o7b3o3b2o29bo3bobo7bobo3bo2978bo21bo25b2o21b
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28b2o4b2o7b2o4b2o26b2o3b3o7b3o3b2o29bo3bobo7bobo3bo5380bobo99bo53b6o
43b2o3bo7206b2o47b2o49b2o47b2o142bobo22794b6o36b2o4b2o41b2o4b2o4994b2o
47b2o49b2o47b2o155bobo149b3o$7246b2o21b2o23bo2bo19bo2bo23b3o23b3o24bo
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b3o2bo34bobo46bob2o4899b2o47b2o49b2o47b2o155bo48b2o52bo48bo36bo13b3o
32bo7b3o$7147bo21bo25b3o19b3o25b3o21b3o22bobo8bo3bo8bobo23bobo5b2o2b2o
b2o2b2o5bobo18bo4bo6b2o5b2o6bo4bo28b3o7b3o37bo9bo85bo17bo32b2o15b2o
2879bo21bo25b3o19b3o25b3o21b3o22bobo8bo3bo8bobo23bobo5b2o2b2ob2o2b2o5b
obo18bo4bo6b2o5b2o6bo4bo28b3o7b3o37bo9bo85bo17bo32b2o15b2o5138bo48b2o
47bo48b3o46bobo4bo38bo2b3obo44bob2o45bo5b3o51bob2o43bobob2o7004b2o47b
2o49b2o47b2o243bobo45b3o46bo5bo8bo33bo14bo33bobo4b3o6bobo22484bo51b2o
48bo50b3o40b2obo39bo2bo44b2o2bo4799b2o47b2o49b2o47b2o254bobo47b3o37bo
8bo5bo33bo14bo34bobo6b3o4bobo30bobo6bobo6b2o$7146b3o6bo5bo6b3o23bo25bo
23bo6bobob3ob3obobo6bo20bo7b2o3bobo3b2o7bo22b2o6bobo7bobo6b2o22bo4b3o
9b3o4bo25bo6bo11bo6bo30bo9bo35b3o15b3o29bo17bo29b2obo17bob2o2875b3o6bo
5bo6b3o23bo25bo23bo6bobob3ob3obobo6bo20bo7b2o3bobo3b2o7bo22b2o6bobo7bo
bo6b2o22bo4b3o9b3o4bo25bo6bo11bo6bo30bo9bo35b3o15b3o29bo17bo29b2obo17b
ob2o3719bo47b3o1316bo47bobo47b3o45bo56bo41b3o2bo2bo38bo2bo2bo2b2o40bo
3bob3o40b2o4b3o50bo48b2o6907bo48b2o49b2o47b2o292b3o47bo12bo34b6o8bo34b
o7bo6bobo31b2o5b2o6bobo32bo5bo2bo6bobo680bo47b3o21704bo47bobo49b3o49bo
44bo51bo38b2obo45b5o1875bo2823bo47b2o49b2o47b2o303b3o38bo12bo35bo8b6o
35bobo6bo7bo31bobo6b2o5b2o33bobo6bo2bo5bo30bobo6bo2bo2b2o2bo2242bo47b
3o$6753bobo5bobo283b2o19b2o25b3o19b3o25b3obo3bo2bo3bo2bo3bob3o21bo5bo
3bobo3bobo3bo5bo22b2o6bob4ob4obo6b2o20b2o6bo4bobo4bo6b2o22b2o8bo7bo8b
2o125bo17bo79b3o17b3o27b2o2bo15bo2b2o2482bobo5bobo283b2o19b2o25b3o19b
3o25b3obo3bo2bo3bo2bo3bob3o21bo5bo3bobo3bobo3bo5bo22b2o6bob4ob4obo6b2o
20b2o6bo4bobo4bo6b2o22b2o8bo7bo8b2o125bo17bo79b3o17b3o27b2o2bo15bo2b2o
3718b3o46bo2bo1314b3o45b2o48bob2o44b2o48bo4bob3o43bo5bo41bob3o2bo42b4o
2bo42b4ob2o49bo47b3o6808bo47b2o49b2o47b2o244b2o47b2o48bo2bo8bo36b3o9bo
35b2o4bo7bobo32b3ob2obo6bobo33bo3b2o2bo6bobo30b2o4b2obo6bobo32b3o3bobo
8bo680b3o46b3o21703b3o48b2o48b2obo48b2o42b3obo4bo43bo42bo1923b3o2721bo
48b2o49b2o47b2o254b2o47b2o39bo8bo2bo36bo9b3o37bobo7bo4b2o32bobo6bob2ob
3o34bobo6bo2b2o3bo31bobo6bob2o4b2o33bo8bobo3b3o31bo8bobo3bo2bo2241b3o
46b3o$3709bo1247bo1744b2o7b2o39bo2bo5bo2bo85bo15bo81bo19bo28bo19bo28b
2obo5bo5bo5bob2o23bo3bo4b3o3b3o4bo3bo23b2o2b3o2bo3bobo3bo2b3o2b2o20b2o
4bob2o2b2ob2o2b2obo4b2o24bo7bo7bo7bo23bo7b2o7b2o7bo30b4o7b4o27b2o25b2o
26b3o15b3o28b3o15b3o28b2o21b2o24b2o21b2o25bo3b2o15b2o3bo2430b2o7b2o39b
o2bo5bo2bo85bo15bo81bo19bo28bo19bo28b2obo5bo5bo5bob2o23bo3bo4b3o3b3o4b
o3bo23b2o2b3o2bo3bobo3bo2b3o2b2o20b2o4bob2o2b2ob2o2b2obo4b2o24bo7bo7bo
7bo23bo7b2o7b2o7bo30b4o7b4o27b2o25b2o26b3o15b3o28b3o15b3o28b2o21b2o24b
2o21b2o25bo3b2o15b2o3bo3666b3o48bob2o45bo2bo1263b3o47bo3bo43bo49b2obo
3b2o40b2obo2b3o42bo4bo3bo39bo8bo47bo44bob4o42b2o4b2o48bo6807bo49b2o46b
o246bo48bo5b2o42bobo4b2o89b3ob2o3bo3bobo33bo2b3o3bo3bobo34b5ob2o2b2o2b
obo31b2o3b2obo6bobo33b2o4b2o8bo32b2o3b3o8bo40bo6bo632b3o47bo3bo44bo3bo
21651b3o47bo3bo49bo43b2o3bob2o40b3o2bob2o41bo3bo4bo44bo1965b2obo2670bo
50b2o49bo254bo41b2o5bo43b2o4bobo86bobo3bo3b2ob3o33bobo3bo3b3o2bo35bobo
2b2o2b2ob5o32bobo6bob2o3b2o34bo8b2o4b2o32bo8b3o3b2o37bo6bo48bo5b2o
2191b3o47bo3bo44bo3bo$2607bo1001bo98b3o1146bo98b3o1694b3o5b3o38b3o5b3o
135bo2bo13bo2bo29bo17bo30bobo17bobo25b2obo5bo5bo5bob2o25b4o4b2ob2ob2ob
2o4b4o21bo4bo3b4o3b4o3bo4bo26b2o2bo4bobo4bo2b2o27bo4b2o3bobo3b2o4bo32b
o3b3ob3o3bo35b2o3bobo3b2o36b3o11b3o30b2o17b2o29bob2o15b2obo26bobobo13b
obobo27bo2b2o15b2o2bo23bo3b2o7bo7b2o3bo25b2o2bo6b3o6bo2b2o2382b3o5b3o
38b3o5b3o135bo2bo13bo2bo29bo17bo30bobo17bobo25b2obo5bo5bo5bob2o25b4o4b
2ob2ob2ob2o4b4o21bo4bo3b4o3b4o3bo4bo26b2o2bo4bobo4bo2b2o27bo4b2o3bobo
3b2o4bo32bo3b3ob3o3bo35b2o3bobo3b2o36b3o11b3o30b2o17b2o29bob2o15b2obo
26bobobo13bobobo27bo2b2o15b2o2bo23bo3b2o7bo7b2o3bo25b2o2bo6b3o6bo2b2o
3570bo47b3o45bo2bo51bo7b2o34b2obo2bo6b2o1205b3o45bo3bo45b3o3bo42bobobo
bo44bobobob2o40b2obobo3bo42b3o3b2o40bo6b3o44bo2bo48b2o45b2o2bo6807bo
47bobo47b5o47bo143bo48bo49bobo4b3o39bob2o49b2o7b2o35b2ob2o2bo4b3o35bo
4bob3o3bobo32b3o3bo3bo3bobo34b3o7b2o3bo33bo5bo4bo3bo47bo47b2o51bo630bo
3bo46b2ob2o44b2ob2o21602b3o45bo3bo45bo3b3o42bobobobo43b2obobobo40bo3bo
bob2o42b2o3b3o1962bo39b2o7bo2624bo47bobo47b5o45bo157bo48bo42b3o4bobo
45b2obo38b2o7b2o37b3o4bo2b2ob2o36bobo3b3obo4bo33bobo3bo3bo3b3o35bo3b2o
7b3o33bo3bo4bo5bo38bo48b2o48bo2254bo3bo46b2ob2o44b2ob2o$2558bo46b4o
801bo48bo98bo50bo47b3o996bo48bo100bo50bo47b3o1647bo5bo41b2o5b2o40bo2b
2o3b2o2bo36bo3bo3bo3bo37bo3bo5bo3bo32b3o13b3o31bo19bo27b2o19b2o27bobo
6bo5bo6bobo23bo2bo5bobo3bobo5bo2bo23b5o3bo11bo3b5o20bo4bo2bo2bobobobo
2bo2bo4bo26b2ob2o3b2ob2o3b2ob2o27bo3bobo2b2ob2o2bobo3bo29bo2bob5ob5obo
2bo30b2o5bobo5b2o31bobo2bo11bo2bobo26bob2o15b2obo28bo3bo6bo6bo3bo25b2o
bo8bo8bob2o26b2obo7b3o7bob2o24b2ob2o7bo7b2ob2o26b4o17b4o2284bo5bo41b2o
5b2o40bo2b2o3b2o2bo36bo3bo3bo3bo37bo3bo5bo3bo32b3o13b3o31bo19bo27b2o
19b2o27bobo6bo5bo6bobo23bo2bo5bobo3bobo5bo2bo23b5o3bo11bo3b5o20bo4bo2b
o2bobobobo2bo2bo4bo26b2ob2o3b2ob2o3b2ob2o27bo3bobo2b2ob2o2bobo3bo29bo
2bob5ob5obo2bo30b2o5bobo5b2o31bobo2bo11bo2bobo26bob2o15b2obo28bo3bo6bo
6bo3bo25b2obo8bo8bob2o26b2obo7b3o7bob2o24b2ob2o7bo7b2ob2o26b4o17b4o
3569b3o8b2o35bo3bo7b2o39bo7b2o35b3o2b2o7b2o33bobobo2bo6b2o707bo447bo
49b3o45bobo2bo48b3o42b3obob2o44bob2ob2o42b4o2bo45bob3o44bo4bo47b2o44b
2o3bo42b2obob2o6807b3o45bo50b2o94bo5bo42bo4bo2bo41bobo6b2o38bobo6b2o
39bo2bo3bo4bo37bo5bo2bob2o36bob2o4b3o3b2o32b2ob3o3bobo2b3o39bo9bo32bo
3bo2bo4bo3bo46b2o48bo49b2o49bo49bo583b3o45b2ob2o7302bo849bo5249bo1299b
o6949bo49b3o44bo2bobo45b3o45b2obob3o43b2ob2obo42bo2b4o45b3obo1247bo
705b2o8b3o38b2o7b2o2b3o2617b3o49bo49b2o97bo5bo40bo2bo4bo41b2o6bobo38b
2o6bobo39bo4bo3bo2bo35b2obo2bo5bo37b2o3b3o4b2obo33b3o2bobo3b3ob2o35bo
9bo38bo3bo4bo2bo3bo37b2o47bo50b2o46bo51bo2205b3o45b2ob2o$2508b3o7b2o
38b2o7b2o40bo6b2o790b3o46bo50b3o46bobo49bo48bo49b3o945b3o48bo48b3o46bo
bo49bo48bo49b3o538b2o7b3o995bo5bo43b2o5b2o38b2o2bo3bo2b2o37bo2b2obobob
2o2bo33bo3bo7bo3bo34b2o13b2o30b3obo11bob3o29bo21bo26b2o19b2o26b2o7b3o
3b3o7b2o21bo8b2ob2ob2ob2o8bo24b3o3b2obobobobob2o3b3o27bobo2bobo3bobo2b
obo31b2obobobo5bobobob2o31bob2obo3bob2obo32bo2bob4o5b4obo2bo26bobo17bo
bo28b2o2b3o9b3o2b2o26bo3bo13bo3bo29bo2bo6bo6bo2bo27b2o9bo9b2o29bo19bo
27b2o9bo9b2o29bo19bo2235bo5bo43b2o5b2o38b2o2bo3bo2b2o37bo2b2obobob2o2b
o33bo3bo7bo3bo34b2o13b2o30b3obo11bob3o29bo21bo26b2o19b2o26b2o7b3o3b3o
7b2o21bo8b2ob2ob2ob2o8bo24b3o3b2obobobobob2o3b3o27bobo2bobo3bobo2bobo
31b2obobobo5bobobob2o31bob2obo3bob2obo32bo2bob4o5b4obo2bo26bobo17bobo
28b2o2b3o9b3o2b2o26bo3bo13bo3bo29bo2bo6bo6bo2bo27b2o9bo9b2o29bo19bo27b
2o9bo9b2o29bo19bo3433b2o47b2o36b3o8b2o37b2ob2o3bo3b2o34bo3b2o3bo3b2o
34bo3b2o7b2o35b2o2b3o45b2obo565bo149bobo346bo49b3o46b3o47bobobo43bo3b
3o49bo47bobo49bo47b3o49bo47b3o45b2ob2o44b2o46b4ob2o6708b2o46b3o47bo4bo
43bo2b2o47bob2o45bo44bobo4b2obo38bobo3bo2bo40bo2bo3b2o2bo37bo2bo3b3o
40bo3bo3bo3b2o35b4o2bo2bo4bo35b2obo5b3o40b2o3bo43b3o5b2o49bo50bo48b2o
49b2o47b2o42b2o590b3o7201bo149bobo697bo149bobo5097bo149bobo1147bo149bo
bo6848bo49b3o46b3o47bobobo43b3o3bo45bo47bobo49bo47b3o49bo1099bo149bobo
653b2o49b2o3bo3b2ob2o46b3o2b2o2517b2o47b3o46bo4bo44b2o2bo46b2obo48bo
46bob2o4bobo39bo2bo3bobo40bo2b2o3bo2bo39b3o3bo2bo38b2o3bo3bo3bo34bo4bo
2bo2b4o40b3o5bob2o40bo3b2o43b2o5b3o38bo50bo47b2o49b2o47b2o56b2o47b2o
2148b3o$2408b2o8b2o37b2o8b2o37bo4bo6b2o35bo3bo7b2o35bob4o6b2o691b2o47b
3o46bo2b2o48bo47b2obo95b2o47bobo49bob2o844b2o46b3o48b2o2bo44bo50bob2o
99b2o46bobo46b2obo438b2o8b2o37b2o8b2o39b2o6bo4bo942b2o7b2o39bobo3bobo
41b2o7b2o37b2o3bobo3b2o37b2o2b2o3b2o2b2o33bo4bo5bo4bo33b3o13b3o28bo21b
o27bobo3b2ob2o3b2ob2o3bobo24bo7b3o3b3o7bo27bo6bo2bobo2bo6bo24bob2o3b2o
b3ob3ob2o3b2obo26b2o3b2o2bo3bo2b2o3b2o28bobo4bo3bo4bobo30b2o3b2o9b2o3b
2o26bobobo13bobobo28b2o3bobo7bobo3b2o26b2o2b2o11b2o2b2o32b2obo7bob2o
31b3o6b3o6b3o30bo2bo6bo6bo2bo29bo3bo4bo4bo3bo131b2o17b2o2184b2o7b2o39b
obo3bobo41b2o7b2o37b2o3bobo3b2o37b2o2b2o3b2o2b2o33bo4bo5bo4bo33b3o13b
3o28bo21bo27bobo3b2ob2o3b2ob2o3bobo24bo7b3o3b3o7bo27bo6bo2bobo2bo6bo
24bob2o3b2ob3ob3ob2o3b2obo26b2o3b2o2bo3bo2b2o3b2o28bobo4bo3bo4bobo30b
2o3b2o9b2o3b2o26bobobo13bobobo28b2o3bobo7bobo3b2o26b2o2b2o11b2o2b2o32b
2obo7bob2o31b3o6b3o6b3o30bo2bo6bo6bo2bo29bo3bo4bo4bo3bo131b2o17b2o
3423bo3b2o4b2o36b3obo2bo3b2o35bo2bo4bo3b2o36b2o6bobo38b3o6bo38b2obo48b
o2bo50bo515b3o47bo49bobo46b3o48bobo297bo48bo50bo46bo3bo45b2o3b2o147bo
199bo46b2obo45bo2b2o42b2obo2bo6657bo49b2o2bo44bo3bo47b2o2bo44bo45bo4bo
42b3o4b2obo39bo2bo4bo2bo37bo2bo7bo40b2o4b2o2b2o36b3o4bob4o41bo5bo2bo
35bo8bo4bo35b2o7b2o38b3o49bo8bo38bobo6bobo49bo49bo43b2o47b2o49b2o590b
3o89bo17bo30b2o15b2o542b2o6450b3o47bo49bobo46b3o48bobo647b3o47bo49bobo
46b3o48bobo5047b3o47bo49bobo46b3o48bobo1097b3o47bo49bobo46b3o48bobo
6799bo48bo50bo46bo3bo45b2o3b2o143bo1200b3o47bo49bobo46b3o48bobo602b2o
49b2o4b2o3bo43bobo6b2o47bo2bo2371bo47b2o47bo48bo2b2o44bo3bo45bo2b2o48b
o50bo4bo39bob2o4b3o40bo2bo4bo2bo37bo7bo2bo38b2o2b2o4b2o37b4obo4b3o38bo
2bo5bo38bo4bo8bo41b2o7b2o46b3o40bo8bo38bobo6bobo40bo47bo56b2o47b2o49b
2o47b2o2148b3o89bo17bo30b2o15b2o997b2o$2407bo2bo7b2o36bo2b2o6b2o37b3o
46bobo46bo4bo648bo49bobo45b2o51bo47b2obo46b2o47bo2bo47b2o2bo47bo48b2ob
2o793bo49bobo48b2o48bo46bob2o50b2o45bo2bo46bo2b2o45bo48b2ob2o338b2o8b
2o37b2o8b2o39b2o7bo2bo36b2o6b2o2bo49b3o892bo7bo41b3o5b3o38bo9bo88bo2b
2o3b2o2bo36bo3b2o5b2o3bo31b2o15b2o30b2o4b2o7b2o4b2o25bobo4bobo5bobo4bo
bo26bo8b2o3b2o8bo23b2o7bo2bobo2bo7b2o24bobo2b7o3b7o2bobo24bo21bo27bobo
3b2o9b2o3bobo24bobo3b2o9b2o3bobo27bo4b3o7b3o4bo26b2o5bo7bo5b2o34b2o7b
2o37bobo7bobo38bo3b5o3bo33b2o15b2o34bo13bo36bo9bo85bo17bo31b3obo11bob
3o2134bo7bo41b3o5b3o38bo9bo88bo2b2o3b2o2bo36bo3b2o5b2o3bo31b2o15b2o30b
2o4b2o7b2o4b2o25bobo4bobo5bobo4bobo26bo8b2o3b2o8bo23b2o7bo2bobo2bo7b2o
24bobo2b7o3b7o2bobo24bo21bo27bobo3b2o9b2o3bobo24bobo3b2o9b2o3bobo27bo
4b3o7b3o4bo26b2o5bo7bo5b2o34b2o7b2o37bobo7bobo38bo3b5o3bo33b2o15b2o34b
o13bo36bo9bo85bo17bo31b3obo11bob3o3422b3ob4o40bo2bobo2bo39bo3bo3bobo
91bo46bo3bo46b5o44bo3bo466bo148bobobo45b3o49bo297b3o46bobo47b2ob2o44bo
3bo45bo2b2obo42bo348bo4bo43b6o42bobo2bobo6658b2o48b2ob2o45b5o92b3o3bo
41b3o6b2o38b3o6b2o40b2o6b2o39b2o4b2o3bo39bo7bo39b3o6bo2bo37b2ob2o4b2o
37bo5bo3bo45bo4bo47b3o49bo48bo44b2o47b2o49b2o47b2o639bo5bo36bo17bo30b
4o2b2o7b2o2b4o26bo5b2o7b2o5bo440b2o47b2o47bo50b2o6351bo148bobobo45b3o
49bo598bo148bobobo45b3o49bo1298bo50b2o1597bo49b2o1998bo148bobobo45b3o
49bo1048bo148bobobo45b3o49bo1498bo49b2o798bo50b2o4398b3o46bobo47b2ob2o
44bo3bo45bob2o2bo48bo1245bo148bobobo45b3o49bo603b2o54b4ob3o99b5o2370b
2o47b2o45b2obo47b2ob2o43b5o96bo3b3o43b2o6b3o38b2o6b3o41b2o6b2o37bo3b2o
4b2o42bo7bo37bo2bo6b3o41b2o4b2ob2o39bo3bo5bo40bo4bo42b3o49bo48bo55b2o
47b2o49b2o47b2o2246bo5bo36bo17bo30b4o2b2o7b2o2b4o26bo5b2o7b2o5bo895b2o
47b2o52bo$2407bo2b2o43b6o46b2o46bo2bo45bo3bo599b3o47b2o48bo2bo44b2o3bo
46bo2bo45bobo48bo2bo44b2o2bo47b2obo44bo3b2o46b2ob2o743b3o46b2o48bo2bo
44bo3b2o46bo2bo46bobo47bo2bo45bo2b2o46bob2o44b2o3bo45b2ob2o297bo39bo2b
o6bo2bo34bo2bo7bo2bo46b2o2bo44b6o48b2o843b3o5b3o38b2o7b2o42bo5bo40bo9b
o39b2ob2o3b2ob2o34bo2b2o7b2o2bo33b3o2bo7bo2b3o29bo2bo13bo2bo28bo5b4o5b
4o5bo24bo2bo2b5o3b5o2bo2bo26bo9bo3bo9bo23b2o8b2o3b2o8b2o25bob2o3b2o7b
2o3b2obo24bo5bo11bo5bo27bo21bo26bo5bo9bo5bo34bo9bo37b3o7b3o39bo9bo38b
2o7b2o39bo2b7o2bo35bo13bo34bobo13bobo80b3o2b2o7b2o2b3o28b2o3bo9bo3b2o
30bo2bo13bo2bo2084b3o5b3o38b2o7b2o42bo5bo40bo9bo39b2ob2o3b2ob2o34bo2b
2o7b2o2bo33b3o2bo7bo2b3o29bo2bo13bo2bo28bo5b4o5b4o5bo24bo2bo2b5o3b5o2b
o2bo26bo9bo3bo9bo23b2o8b2o3b2o8b2o25bob2o3b2o7b2o3b2obo24bo5bo11bo5bo
27bo21bo26bo5bo9bo5bo34bo9bo37b3o7b3o39bo9bo38b2o7b2o39bo2b7o2bo35bo
13bo34bobo13bobo80b3o2b2o7b2o2b3o28b2o3bo9bo3b2o30bo2bo13bo2bo3421b2o
6bo39bo8bo39bo7bobo40b3o47b2o46bo2bo49bo48bo418b3o46b3o47bobobo44bobob
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2b2o47b4o44b3o48bobo41b2o4b3o49b3o5bo41b2o4b2o36b2o2b3o49b3o3bo43b2o2b
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195b2ob2o46b2ob2o44bo3bo47b3o46bobo48b3o46b3o48b3o45bo3bo47b3o45b2o49b
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48bo48bo48b3o47b3o47b3o$157b2o99bo48b2o99bo48b2o148b2o99bo48b2o99bo
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I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

User avatar
Extrementhusiast
Posts: 1916
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: spark_search giving too many results

Post by Extrementhusiast » June 9th, 2021, 4:25 pm

It must be something on your end, as I was able to run the same search no problem. Have you changed your spark_search.py file at all? Does this happen on other searches or just this one?

Here's what I got for the same search (given input, parameters S/3/1/80/-1/3g/default; I space results 100 apart instead of 50):

Code: Select all

x = 808708, y = 34, rule = B3/S23
40602bo$40600b2o649908bo$35497bobo5101b2o190500bo5993bobo41908bo
410890bobo606b2o20184bo$8405bo27092b2o195602bo5995b2o41906b2o410892b2o
607b2o20184bo62709bo$8403b2o27093bo52093bo5bo143503b3o5993bo41908b2o
410891bo20792b3o62707b2o$8397bo6b2o54694bo103bo8305bo16082bo2bobo
168716bo223176bobo9bo226592bo8100bo59198bo6b2o27993bo$8398b2o32199bo
22501b2o99b2o300bobo8001b2o16081b3o3b2o143699bo25014b2o22687bo7905bo
169289bo23294b2o8bo226307bobo284b2o3499bobo4596bobo59197b2o27997bobo$
8397b2o32201bo3bo22495b2o101b2o299b2o703bo7299b2o4586bo20008bo25499bo
47007bo62681bobo18789bo127bo6097b2o22687bo7904bobo104896bo64388bobo
23294bo9b3o45095bo13098bo1406bo150583bo9313bo5292bobo1510b2o284b2o
3501b2o4596b2o59197b2o27999b2o$8404bo29791bo1208bo1192b3o2bo22901bo
701b2o11889bo11504bo8502bobo12580bobo9bo4005bo5686bo315bo2895bobo
10789bobo4701bo31509b2o57391bo1000bobo3993bo294b2o5795bo4707bo2603bo
4706bo975bo125bo6373bo104bo600bo2798bo315bo987bo107bo3295bo14198b3o
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2o93bo5200b2o1511bo680bo117bo186bobo2799bo994bo399bobo109bobo89bobo
1696bobo8504bo1294bobo43485bo1620bo4898bobo693bo$8403bo18501bo6590bo
111bo4588bo3bo1201bobo4bo1192b3o1590bo22011b2o7193bo4692b3o209bobo
11292bobo8500b2o12582b2o8bo4006bobo5497bo187b2o311b2o2896b2o10791b2o
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6310bo8100bo1703bobo2296bo6899bo797bobo4103b2o5484bobo111bobo5692b2o
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110bo586bo119bobo285bo201bo298bo290b2o107b2o2395b2o3999b2o195bobo200b
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100bo111bo85bo111b2o3992bobo2701b2o1295bo6bobo1298bobo2092bo506bo
28180bo219bo9986b2o1187b2o5bobo1610b2o4087bo13bo81bo13bo701bo390bobo
300b3o1588bo1601bo21899bo900bo2009bo2487bo213bo2898bo$8495bobo212bo83b
o5403bo107bo1094b2o99b2o3498bo99bo1105bobo1096b2o4586bo1008b3o784bobo
2908bobo607bo2282b2o111b2o702bo994b2o2287bo603b3o94bobo993b2o115b2o
201bo1379bobo903bo5bo197bo91b3o97bobo297bo3494b2o3006bo3299bobo5703bo
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216bo91b2o92b2o107b2o86bobo88b2o106bo1603bobo391bo117bo1098bo503bo982b
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o335bo4387b2o383b2o197bo219b2o91bo105bo97b2o293bo105bo95bobo285b2o508b
2o586b2o3108b2o1606b2o194bo588bo488b3o216bobo86b3o300bo9bo87bo9bo2496b
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2o109b2o25989bo9bo87bo9bo2285b2o7b2o4bo89bo4b2o7b2o10394bobo9696bo
13494b2o2294bobo97b2o206bobo98b2o4089b3o4bobo2002b2o3692bo505b2o8088b
2o4002bo505b2o5990b2o17890b2o3bobo103bobo3b2o18681bo116bobo92bo16996bo
15295b2o105b2o6793b2o7bo1087bobo41301b2o3805b2o1099b2o1992bo505b2o
3404bo593b2o3788b2o1102bo3391b2o1112bo85bo1414bo83bo5113b2o1193b2o
17595bo9394b2o3b3o99b3o3b2o33696bo52695bo4695b2o105b2o8894bo104b2o
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(Also noticed that the search claims 8062 results while returning 8088, which I think is caused by the fact that the count updates after every 100 collisions but not at the end of the list, so that the <100 collisions left over don't get counted.)

I've actually been having a different, smaller issue with the script (or maybe just the gencols files that power it): for pretty much every sufficiently-fruitful southeastbound search using 3g.col, I get some results that, while they fulfill the initial search pattern, aren't made up of gliders, instead containing things like R-pentominos, pre-blocks, and pre-ponds. The weird thing is, if this were a problem with 3g.col, I would expect these to show up in southbound searches, but they don't.
I Like My Heisenburps! (and others)

MathAndCode
Posts: 4803
Joined: August 31st, 2020, 5:58 pm

Re: spark_search giving too many results

Post by MathAndCode » June 9th, 2021, 6:31 pm

Extrementhusiast wrote:
June 9th, 2021, 4:25 pm
It must be something on your end, as I was able to run the same search no problem. Have you changed your spark_search.py file at all? Does this happen on other searches or just this one?
I haven't modified it, but I downloaded it two days ago, so if you have had it for a while, the different might be due to some modification that Chris Cain made in between. I haven't tried spark_search on any other searches yet.
Extrementhusiast wrote:
June 9th, 2021, 4:25 pm
Here's what I got for the same search (given input, parameters S/3/1/80/-1/3g/default; I space results 100 apart instead of 50):
It looks like you might be having the same problem. For example, your leftmost result, which was also the leftmost result in both of my searches, is the following:

Code: Select all

x = 8, y = 8, rule = B3/S23
bo$2bo$3o$6bo$5bo$bo3b3o$2bo$3o!
Based on the regions that I know work, spark_search was probably referring to this positioning and timing:

Code: Select all

x = 14, y = 21, rule = B3/S23
7bo$8bo$6b3o$12bo$11bo$7bo3b3o$8bo$6b3o7$9b2o$8bobo$9bo2$b2o$obo$2bo!
However, this should not have come up in either of my runs. In my first run, two cells would have been incorrect.

Code: Select all

x = 12, y = 11, rule = LifeHistory
.2A2.3A.2A$A2.A7.A$2A7.2A2$4.2A$5.A$.B.ADE2B$.2BA5B$.3B3A2B$.5BA2B$.8B!
In my second run, two different cells would have been incorrect.

Code: Select all

x = 12, y = 12, rule = LifeHistory
5.2A2.A$2.2A6.A$2A4.A.A2.A$2A2.A4.2A2$4.A$4.2A$.BDEA3B$.2BA5B$.3B3A2B$.5BA2B$.8B!
There were three input files in the Discord conversation that I included, and I need to know which one you used in order to be sure, but for two out of three, that should not have been a result with delay three.
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

User avatar
Extrementhusiast
Posts: 1916
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: spark_search giving too many results

Post by Extrementhusiast » June 9th, 2021, 8:50 pm

MathAndCode wrote:
June 9th, 2021, 6:31 pm
There were three input files in the Discord conversation that I included, and I need to know which one you used in order to be sure, but for two out of three, that should not have been a result with delay three.
I used the first one.
MathAndCode wrote:
June 9th, 2021, 6:31 pm
Extrementhusiast wrote:
June 9th, 2021, 4:25 pm
It must be something on your end, as I was able to run the same search no problem. Have you changed your spark_search.py file at all? Does this happen on other searches or just this one?
I haven't modified it, but I downloaded it two days ago, so if you have had it for a while, the different might be due to some modification that Chris Cain made in between. I haven't tried spark_search on any other searches yet.
This is my copy of spark_search.py in its entirety, which I downloaded at 10:06 AM on 05JAN 2020:

Code: Select all

import golly as g
from collections import deque

direction = g.getstring("Enter direction (S or SE):", "S").upper()

if direction not in ["S", "SE"]:
    g.exit("Invalid direction")

delay = int(g.getstring("Enter delay:", "0"))
increase = int(g.getstring("Enter cell increase at penultimate step:", "1"))
offset = int(g.getstring("Enter horizontal offset between before/after:", "40"))
finalpop = int(g.getstring("Enter final population (-1 == don't care):", "-1"))
filename = g.getstring("Enter gencols filename:", "3g")
symm = g.getstring("Enter symmetries (x, d or xd):", "default")

if symm == "default":
    symm = ""
    if filename == "3g":
        symm += "x"
    if direction == "SE" and filename in ["2g", "3g", "s2g"]:
        symm += "d"

status = "dir: %s; delay %d; inc %d; symm %s; " % (direction, delay, increase, symm)
if finalpop >= 0: status += "finalpop %d; " % finalpop
status += "cols %s; " % filename

g.getevent()

[a, b] = [1, 1000] if direction == "S" else [1000, 1001]
    
cells = g.getcells(g.getrect())
cells = list(zip(cells[::3], cells[1::3], cells[2::3]))

mx = -9999999
ox = oy = 0

for x, y, z in cells:
    if z != 3:
        continue
    idx = a * x + b * y
    if idx > mx:
        mx = idx
        ox = x
        oy = y

on_cells = []
off_cells = []
example_cells = []
start_cells = []

for x, y, z in cells:
    if x <= ox + offset // 2:
        if z == 3:
            example_cells.append(x - ox)
            example_cells.append(y - oy)
        elif z == 1:
            start_cells.append(x - ox)
            start_cells.append(y - oy)
    else:
        if z == 1:
            on_cells.append((x - ox - offset, y - oy))
        elif z == 2:
            off_cells.append((x - ox - offset, y - oy))


results_layer = g.addlayer()
g.setname("Results")
g.setrule("Life")
g.setalgo("QuickLife")
work_layer = g.addlayer()
g.setname("Work area")

g.putcells(start_cells)
g.putcells(example_cells)
g.run(delay)

if not all(g.getcell(x, y) for x, y in on_cells) or any(g.getcell(x, y) for x, y in off_cells):
    g.warn("Warning: the example pattern is not a solution")

results = 0
spacing = 100

def apply_sym(pat, symm):
    yield pat
    if "x" in symm: yield g.transform(pat, 0, 0, -1, 0, 0, 1)
    if "d" in symm: yield g.transform(pat, 0, 0,  0, 1, 1, 0)
    if "x" in symm and "d" in symm:
        yield g.transform(pat, 0, 0, 1, -1, 0)

def testkey():
    if results and g.getevent().startswith("key x"):
        g.setlayer(results_layer)
        g.select(g.getrect())
        g.copy()
        g.select([])
        g.setlayer(work_layer)
        
def test(pat, gen, loc, x, y):

    global results, spacing
    
    if not all(g.getcell(x+loc, y) for x, y in on_cells):
        return
    
    if any(g.getcell(x+loc, y) for x, y in off_cells):
        return

    begin = start_cells + g.evolve(g.transform(pat, -x, -y), gen)

    if finalpop >= 0 and len(g.evolve(begin, 100)) != 2 * finalpop:
        return

    results += 1
    g.setlayer(results_layer)
    g.putcells(g.evolve(pat, gen % 8), spacing * results-x, -y)
    g.putcells(begin, spacing * results, spacing)
    g.putcells(g.evolve(begin, delay), spacing * results, 2*spacing)
    g.setlayer(work_layer)

    
count = 0
for s in open("gencols/" + filename + ".col"):
    count += 1
    pat = g.parse(s.split(" ")[0].replace('!','$').replace('.','b').replace('*','o')+'!')
    if count % 100 == 0:
        g.show(status + "results %d; <x> to copy to clipboard. count %d" % (results, count))
        testkey()

    for pat in apply_sym(pat, symm):
        g.new('')
        g.putcells(pat)
        q = deque()
        orect = [-128, -128, 256, 256]
        all_max = -9999999
        locs = set()
        for gen in range(80 + delay):

            cells = g.getcells(orect)
            current_max = -9999999
            for i in range(0, len(cells), 2):
                idx = a * cells[i] + b * cells[i+1]
                if idx > current_max:
                    current_max = idx
                    ox = cells[i]
                    oy = cells[i+1]

            if gen > 0 and current_max >= all_max + increase:
                loc = 256
                while loc in locs:
                    loc += 256
                locs.add(loc)
                q.append((gen, loc, ox, oy))
                g.putcells(cells, loc - ox, -oy)
                g.putcells(start_cells, loc)

            if q and q[0][0] + delay == gen:
                test(pat, *q[0])
                g.select([-128 + q[0][1], -128, 256, 256])
                g.clear(0)
                locs.remove(q[0][1])
                q.popleft()
            
            all_max = max(all_max, current_max)
            g.run(1)

testkey()
g.dellayer()
g.setlayer(results_layer)
g.fit()
I made two small alterations to the file: enclosing the zip() call within a list() call in line 32 (for Python 3.x compatibility), and changing the result spacing in line 81, as mentioned before.
MathAndCode wrote:
June 9th, 2021, 6:31 pm
Extrementhusiast wrote:
June 9th, 2021, 4:25 pm
Here's what I got for the same search (given input, parameters S/3/1/80/-1/3g/default; I space results 100 apart instead of 50):
It looks like you might be having the same problem. For example, your leftmost result, which was also the leftmost result in both of my searches, is the following:

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RLE
Based on the regions that I know work, spark_search was probably referring to this positioning and timing:

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RLE
However, this should not have come up in either of my runs. In my first run, two cells would have been incorrect.

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RLE
No, I'm not having the same problem, as the collision in question is a valid solution; you're mentally using delay 4, when the search used delay 3. I do agree that it would not be a solution using delay 4, but that is not this search.
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MathAndCode
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Re: spark_search giving too many results

Post by MathAndCode » June 10th, 2021, 8:12 am

Extrementhusiast wrote:
June 9th, 2021, 8:50 pm
I used the first one.
That explains it. That's the only one for which you should have received that result.
Extrementhusiast wrote:
June 9th, 2021, 8:50 pm
I made two small alterations to the file: enclosing the zip() call within a list() call in line 32 (for Python 3.x compatibility), and changing the result spacing in line 81, as mentioned before.
I figured that line 32 was probably the problem (I keep forgetting that many ConwayLife scripts aren't meant for Python 3.), so I ran the following search (with parameters SE/5/-1/60/60/3g/default

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x = 76, y = 21, rule = LifeHistory
69.4B$68.5B$10.2A56.2B2A2B$10.A57.2BA4B$12.A55.4BA2B$11.2A55.3B2A2B$
10.A57.2BA4B$4.2C3.A.2A52.4BAB2A3B$4.2C3.2A2.A50.4B3A2BA2B$3.3C6.2A
49.3B3A3B2A2B$63.2BABA8B$63.2BA4B.4B$4.3A56.B2A2B$4.A58.5B$5.A57.4B$.
A$2.2A$A.A2$.2A$.A!
However, I seemed to be getting a similar problem. (When I stopped, the number of solutions was over 6,000.) Or are there legitimately that many solutions?
Attachments
spark_search run.png
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I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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Extrementhusiast
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Re: spark_search giving too many results

Post by Extrementhusiast » June 10th, 2021, 4:07 pm

MathAndCode wrote:
June 10th, 2021, 8:12 am
However, I seemed to be getting a similar problem. (When I stopped, the number of solutions was over 6,000.) Or are there legitimately that many solutions?
You're misinterpreting again. The "count 6100" in the image refers to the number of collisions tested so far (out of 18193 for 3g.col); you're looking for "results 0".
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Re: spark_search giving too many results

Post by MathAndCode » June 11th, 2021, 3:20 pm

Extrementhusiast wrote:
June 10th, 2021, 4:07 pm
You're misinterpreting again. The "count 6100" in the image refers to the number of collisions tested so far (out of 18193 for 3g.col); you're looking for "results 0".
Yes, I ran it again, and I turned out to work. I just took longer that I felt that it should have. I even got at least one compatible solution.

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x = 28, y = 38, rule = B3/S23
12bo$11bo$6bo4b3o$7b2o$6b2o9bobo$17b2o$18bo3$21b2o$21bo$23bo$2bo19b2o$
3b2o16bo$2b2o16bob2o$20b2o2bo$23b2o13$25b3o$25bo$26bo4$b2o$obo$2bo!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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