Small Four-Digit Prime Period Guns

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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Vort
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Re: Small Four-Digit Prime Period Guns

Post by Vort »

confocaloid wrote: July 1st, 2024, 6:56 amAll five periods are 1 (mod 8 ) and in roughly the same range, so could be covered by a single design. ...
Thanks!
These periods were, probably, skipped by my script because of explosions.
simeks wrote: July 1st, 2024, 7:22 amI was curious how far you would get with just a Snark loop, so here's p3529 in 151x125 = 18875: ...
This is how transition region to multiplier-based designs (1k..4k) will be filled I guess.
Chart have noticeable bump there, which suggests possibility for optimizations.
gun_coll_area_v20.png
gun_coll_area_v20.png (53.1 KiB) Viewed 12937 times

It probably makes sense to also create density chart, it may give even more ideas about where most effective optimizations can be done.
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confocaloid
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Re: Small Four-Digit Prime Period Guns

Post by confocaloid »

The next target might be those guns that still remain bigger than the current gun_19. It seems likely that the same basic design (varying the Herschel-to-glider converter and/or the pulse dividers and adjusting the trombone slides) will reduce many or all of them:

Code: Select all

"apgcode","occurrences"
"gun_4001","24948"
"gun_3929","24794"
"gun_4057","24624"
"gun_3331","24490"
"gun_3881","24480"
"gun_3307","24178"
"gun_3889","24016"
"gun_3259","23560"
"gun_3407","23373"
"gun_3469","23254"
"gun_7723","23254"
"gun_3391","23226"
"gun_3371","23104"
"gun_3461","23100"
"gun_7547","22950"
"gun_3347","22801"
"gun_3359","22765"
"gun_3089","22648"
"gun_3833","22638"
"gun_3343","22620"
"gun_3323","22500"
"gun_3413","22496"
"gun_3049","22348"
"gun_3163","22348"
"gun_7699","22348"
"gun_3319","22320"
"gun_19","22275"
"gun_2239","22201"
"gun_3299","22201"
"gun_3389","22197"
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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Vort
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Re: Small Four-Digit Prime Period Guns

Post by Vort »

Vort wrote: July 1st, 2024, 8:31 amIt probably makes sense to also create density chart, it may give even more ideas about where most effective optimizations can be done.
Here is density chart of non-zero history cells.
Did not tried yet to use this data for optimization, but it already helped to find a bug.
Initially I thought that red spike appeared because of my mistake, but upon further investigation, it turned out to be a bug in Catagolue verification, here is what caused this spike: gun_1650

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]] 
#CSYNTH gun_1650 costs 2915 cells.
#C period 1650 fullperiod 1650 bbox 53 by 55
#CLL state-numbering golly
x = 53, y = 55, rule = LifeHistory
2B2A4B2A17BA2BA3BA2BA15B$27BA2BA4BA2BA14B$28B5A5BA14B$31BA3BAB2A
14B$44BA2BABA3B$30BA5BA5B2AB3A2BA2B$28B3A12BABA3BA3B$44BAB2ABA3B$
28B2A7B3A7B2A4B$52BA$33BABA16BA$26BA2BABA3BA17B$27BA4BAB2A17B$27BA
4BA20B$29B2A22B$53B$53B$44B2A7B$44B2A7B$53B$20B2A31B$20B2A12BA18B$
33BABA17B$33BABA17B$34BA18B$11BA41B$10BABA40B$9BABA41B$9B2A42B$6B.
14BA31B$4B3.8BA4BABA30B$.B6.7BA4BABA30B$B6.8BA5BA31B$B5.47B$3B3.
47B$3B4.46B$3B3.47B$2B3.48B$2B4.47B$2B6.3B5.12BA24B$B14.12BABA23B$
4B11.12BABA23B$3B2A11.12BA24B$3B2A10.BA36B$4B11.ABA35B$5B11.2A32BA
2B$7B11.2B3A27BA2B$10B2.2B3.33BA2B$40B.12B$53B$16B2A35B$16B2A35B$.
52B$8.4B.25B4.7B2A2B$9.4B4.B2.12B10.7B2A2B!
gun_coll_density_v1.png
gun_coll_density_v1.png (44.66 KiB) Viewed 12893 times

Code: Select all

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;

namespace ConsoleApplication148
{
    class HistoryPattern
    {
        public readonly int Width;
        public readonly int Height;
        byte[] cells;

        public HistoryPattern(int width, int height)
        {
            Width = width;
            Height = height;
            cells = new byte[Width * Height];
        }

        public byte this[int x, int y]
        {
            get
            {
                return cells[x + y * Width];
            }
            set
            {
                cells[x + y * Width] = value;
            }
        }

        public static HistoryPattern ReadRLE(params string[] lines)
        {
            int x = 0;
            int y = 0;

            string scount = "";
            HistoryPattern pattern = null;
            foreach (var line in lines)
            {
                if (line.StartsWith("#"))
                    continue;
                if (line.StartsWith("x"))
                {
                    var match = Regex.Match(line, "^x = ([0-9]+), y = ([0-9]+)");
                    if (!match.Success)
                        throw new Exception();
                    int width = int.Parse(match.Groups[1].Value);
                    int height = int.Parse(match.Groups[2].Value);
                    pattern = new HistoryPattern(width, height);
                    continue;
                }

                for (int i = 0; i < line.Length; i++)
                {
                    char c = line[i];
                    if (c >= '0' && c <= '9')
                    {
                        scount += c;
                    }
                    else
                    {
                        if (c == '$')
                        {
                            x = 0;
                            int count = 1;
                            if (scount != "")
                                count = int.Parse(scount);
                            y += count;
                            scount = "";
                        }
                        else if (c == '!')
                            break;
                        else if (c == '.' || (c >= 'A' && c <= 'Z'))
                        {
                            int count = 1;
                            if (scount != "")
                                count = int.Parse(scount);
                            for (int k = 0; k < count; k++)
                            {
                                pattern[x, y] = c == '.' ? (byte)0 : (byte)(c - 'A' + 1);
                                x++;
                                pattern.WrapCoordinates(ref x, ref y);
                            }
                            scount = "";
                        }
                    }
                }
            }
            return pattern;
        }

        public static HistoryPattern ReadRLE(string fileName)
        {
            return ReadRLE(File.ReadAllLines(fileName));
        }

        public double GetDensity()
        {
            return (double)cells.Count(b => b != 0) / Width / Height;
        }

        void WrapCoordinates(ref int x, ref int y)
        {
            if (x < 0)
                x += Width;
            else if (x >= Width)
                x -= Width;
            if (y < 0)
                y += Height;
            else if (y >= Height)
                y -= Width;
        }
    }

    class Program
    {
        Program()
        {
            var densities = new Dictionary<int, double>();
            foreach (var gunFile in Directory.EnumerateFiles("gun", "*.rle"))
            {
                densities.Add(int.Parse(Regex.Match(gunFile, "_([0-9]+)").Groups[1].Value),
                    HistoryPattern.ReadRLE(gunFile).GetDensity());
            }

            var pointsavg = new List<string>();
            var pointsmin = new List<string>();
            var pointsmax = new List<string>();

            int blockSize = 50;
            int blockCount = 10000 / blockSize;
            for (int i = 0; i < blockCount; i++)
            {
                int count = 0;
                double sum = 0;
                double min = double.MaxValue;
                double max = double.MinValue;
                for (int j = 0; j < blockSize; j++)
                {
                    int period = i * blockSize + j;
                    if (!densities.ContainsKey(period))
                        continue;
                    double density = densities[period];
                    sum += density;
                    min = Math.Min(min, density);
                    max = Math.Max(max, density);
                    count++;
                }
                int x = i * blockSize + blockSize / 2;
                if (count != 0)
                {
                    pointsmin.Add($"{{{x},{min:0.0000}}}");
                    pointsavg.Add($"{{{x},{sum / count:0.0000}}}");
                    pointsmax.Add($"{{{x},{max:0.0000}}}");
                }
            }
            var sb = new StringBuilder();
            sb.AppendLine("datanew = {{" + string.Join(",", pointsmin) + "},");
            sb.AppendLine("{" + string.Join(",", pointsavg) + "},");
            sb.AppendLine("{" + string.Join(",", pointsmax) + "}};");
            File.WriteAllText("data.txt", sb.ToString());
        }

        static void Main(string[] args)
        {
            System.Threading.Thread.CurrentThread.CurrentCulture =
                System.Globalization.CultureInfo.InvariantCulture;
            new Program();
        }
    }
}

Code: Select all

minColor = RGBColor[29/255, 92/255, 178/255];
avgColor = RGBColor[228/255, 157/255, 20/255];
maxColor = RGBColor[215/255, 34/255, 26/255];
ListLinePlot[{data[[1]], data[[2]], data[[3]], datanew[[1]], 
  datanew[[2]], datanew[[3]]},
 PlotStyle -> {
   Directive[minColor, Opacity[0.5]], 
   Directive[avgColor, Opacity[0.5]], 
   Directive[maxColor, Opacity[0.5]],
   minColor, avgColor, maxColor},
 ImageSize -> {640, Automatic}, AspectRatio -> 9/16, PlotRange -> All,
 AxesLabel -> {"period", "density"}]
upd. Here is better version.
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confocaloid
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Re: Small Four-Digit Prime Period Guns

Post by confocaloid »

Vort wrote: July 1st, 2024, 12:30 pm [...] here is what caused this spike: gun_1650 [...]
Relevant log: shinjuku (#6946321794)
More details in a Catagolue-related forum thread: viewtopic.php?p=188869#p188869
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confocaloid
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Re: Small Four-Digit Composite Period Guns

Post by confocaloid »

hotdogPi wrote: June 20th, 2024, 10:40 amIs there any reason this is limited to primes other than the thread title?
confocaloid wrote: June 20th, 2024, 12:14 pm[...] That being said, some composite periods still remain interesting (e.g. products of two large primes), and this forum thread already contains some composite-period guns.
gun_1001 in 109-by-63 (down from 122-by-61), using a 7G-to-H pulse divider:

Code: Select all

x = 109, y = 63, rule = B3/S23
51b2o$51bo2b2o$52bobo$39bo11b2o2bo$39b3o11bobo$42bo8b2obo$36bo4b2o9bo$
35bobo7bo4bobo$35bobo6bobo3b2o$32b2obobobo4bo2bo$32b2obo2b2o5b2o22b2o
18b2o$35bo24bo8bobo18bo14b2o$35b2o21b3o10bo18bobo12b2o$37bo19bo13b2o
18b2o$35b3o19b2o44b4o$34bo67bo3bo$34b2o67bo$101bobo$37b2o62b2o$37bo36b
2o29b2o$35bobo36b2o30bo$35b2o69bobo$107b2o2$38b2o23b2o$37bobo23b2o$37b
o$36b2o46b2o$62b2o21bo$52b2o7bo2bo4b2o11b3o$7bob2o21bo19bo8bo2bo4b2o
11bo$5b3obobob2obo13b3o17bobo9b2o44bo$4bo4bobobob2o12bo20b2o54bobo$4bo
bobobobo16b2o24bo51b2o$5b2obobo33b2o7b3o$9bobo33bo6bo$10bo34bobo4b2o
28b2o$46b2o34bo$84bo$2o49bo5b2o5b2o14b5o$2o39b2o9bo4b2o6bo13bo$11bo29b
2o22bobo12b3o$10bobo36b3o14b2o15bo$10bo2bo49bo16b4o$11b2o33b3o13bobo5b
2o3b2o3bo3b2o$46bobo3b2o9b2o4bobo3b2o4b3o2bo$15b2o3b3o23b3o3b2o17bo11b
ob2o$4b2o9b2o3bobo60bo$4bobo13b3o33b2o24b2o$5bo49bo2bo$17b3o36bobo$26b
2o29bo16b2o$10b2o4bo9b2o46bo$10b2o5bo57b3o$77bo$21b2o43b2o$15b2o4bobo
34bo7bobo$16bo6bo33bobo8bo$13b3o7b2o33bobob2o4b2o$13bo24b2o16bobobobob
o$39bo12b2obobobo4bo$36b3o13bob2obobob3o$36bo21b2obo!
#C [[ MAXGRIDSIZE 9 KILLGLIDERS THEME Catagolue ]]
Previous design:

Code: Select all

x = 122, y = 61, rule = B3/S23
15b2o4b2o44b2o$11b2o3bo4bo44bobo21b2o$11bo4bob2obo38b2o4bo23bobo$12b3o
bobobo37bo2bo2b2ob4o21bo4b2o$14bob2o40b2obobobobo2bo17b4ob2o2bo2bo$7b
2o52bobobobo20bo2bobobobob2o$7bo53bobob2o24bobobobo$4b2obo54bo29b2obob
o$4bo2b2o17b2o68bo$6bo2bo16b2o47b2o$7b2o57b2o7bo6b2o18bo$66b2o5bobo7bo
7b2o9b3o$7b2o64b2o8bobo5b2o12bo$7bo76b2o18bobo$5bobo96bobo$5b2o98bo3$
3b2o$2bo2bo2b2o53b2o$3b2o2bobo13b2o39bo29b2o24b2o$5b2o16bobo35b3o30bo
25b2o$5bo19bo35bo33b3o$2b2obo2bo16b2o70bo$2bob2obobo$6bobo91b2o$3b2o2b
o91bobo$b3ob2o92bo$o97b2o7b2o$b3ob2o100b2o$3bob2o$115b2obo$13b2o100b2o
b3o$13b2o7b2o97bo$22bo92b2ob3o$20bobo91bo2b2o$20b2o91bobo$95bo16bobob
3o$24bo36bo33b3o15bo2bo2bo$24b3o32b3o36bo17bobobo$2o25bo30bo38b2o16b2o
2bobo$2o24b2o30b2o52bobo2bobobo$112b2o2b2ob2o2$95b3o$95bo23bo$16bo79bo
20b3o$15bobo98bo$15bobo18b2o10b2o66b2o$16bo12b2o5bobo8bobo5b2o30bo$17b
3o9b2o7bo8bo7b2o30b3o$19bo18b2o6b2o42bo$89bo$25bo34bo28b2o$24bobob2o
26b2obobo25b2o2bo$24bobobobo24bobobobo24bo2b3o$21b2obobobobo2bo18bo2bo
bobobob2o22bo23bo$21bo2bo2b2ob4o18b4ob2o2bo2bo23b4o6b2o3b2o5bobo8bo$
23b2o4bo26bo4b2o27bo7b2o3b2o6bo7bobo$29bobo22bobo35bo27b2o$30b2o22b2o
35b2o!
#C [[ MAXGRIDSIZE 9 KILLGLIDERS THEME Catagolue ]]
edit 1: processed in jobs/7248291274.
Last edited by confocaloid on July 2nd, 2024, 12:44 pm, edited 1 time in total.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
User avatar
Vort
Posts: 249
Joined: May 14th, 2024, 6:35 am

Re: Small Four-Digit Prime Period Guns

Post by Vort »

confocaloid wrote: July 1st, 2024, 8:42 amThe next target might be those guns that still remain bigger than the current gun_19 ...
8 of them left:

Code: Select all

"gun_3407","23373"
"gun_3469","23254"
"gun_3391","23226"
"gun_3461","23100"
"gun_3359","22765"
"gun_3343","22620"
"gun_3413","22496"
"gun_3319","22320"
"gun_19","22275"
"gun_2239","22201"
"gun_3389","22197"
"gun_3373","22050"
---
I enhanced density chart by adding color coding: blue color means small area, red color means large area:
gun_coll_density_v6.png
gun_coll_density_v6.png (58.14 KiB) Viewed 12776 times
Here is also updated area chart:
gun_coll_area_v22.png
gun_coll_area_v22.png (69.46 KiB) Viewed 12776 times
Jormungant
Posts: 854
Joined: May 27th, 2016, 1:01 am

Re: Small Four-Digit Prime Period Guns

Post by Jormungant »

-2 columns

Code: Select all

x = 109, y = 63, rule = LifeHistory
51.2A$51.A2.2A$52.A.A$39.A11.2A2.A$39.3A8.B2.A.A$42.A7.B2A.A$36.A4.2A
6.2B.A$35.A.A3.4BA2B.BA.A$35.A.A5.BABA3B2A$32.2A.A.A.AB.2BA2BA3B$32.
2A.A2.2AB.3B2A2B20.2A$35.A4.9B11.A8.A.A$35.2A3.9B9.3A10.A$37.AB.9B8.A
13.2A$35.3A12B7.2A13.B$34.A2.B.12B3.5B13.3B22.2A$34.2A3.18B14.6B14.B
4.B2A2B$39.18B3.B2.B3.B2.10B11.4B2.4B$37.2A.41B3.2B2.2B.4B.B.4B$37.A
3.33B2A15BD9B$35.A.A3.33B2A15BDBD7B$35.2A4.8B3.39B3D8B3.2A$40.8B3.42B
D2B2A4B.B2.A$40.7B3.45BABA5B3A$38.2AB.5B3.13B2A3B4.13B.B6.BABA2B2.2BA
$37.A.AB.5B4.10B.A2BAB5.7B.B13.BA2B6.2A$37.A5.4B4.11BA2BA39.A$36.2A5.
3B6.5B2.8B37.A$53.2B5.2BA4B2.B34.2A$52.2A4.3B2A4B.B2A$7.A.2A21.A19.A
4.6BA5B2A$5.3A.A.A.2A.A13.3A17.A.A5.9B.2B$4.A4.A.A.A.2A12.A20.2A8.8B$
4.ABABA.A.A16.2A24.A5.8B$5.2A.A.A15.5B13.2A7.3A6.8B$5.4BABA13.4B16.A
6.A10.2B2.4B$8.2BA3B11.5B15.A.AB3.2A14.4B10.2A$4.2B4.5B5.10B16.2AB.4B
15.4B9.A$.B.4B2.6B4.11B18.4B18.4B10.A$2A16B.11B17.6B4.2A5.2A5.4B5.5A$
2AB.26B11.2A5.5B3.B2AB5.A5.4B4.A$.B2.7BA10BABA6B9.B2A2B2.6B3.3B6.A.AB
.7B2.B3A$6.4BABA5B2A2BA2BA6B9.4B.3B2A2B4.B.B6.2AB.7B3.2B.A$7.3BA2BA3B
A2BABA2BA3BA2B.15BA2BAB2.6B.BA4.12B4A$9.2B2A5BA2BAB3A2BABA18B2A11BA.A
3.7B2A3BAB2.2A$9.10B3A2BA2BABA16BA15B.2A3.7B2A2B.B3A2.A$8.12B4A4BA5B.
5BA4B4A12B7.10B3.B.A.2A$4.2A.15BA16BABA2BA2B3A10B7.8B8.A$4.A.A11B2A
18BABA2B3ABA2BA5B2A2B6.9B7.2A$5.AB.6B2.BA2BA15B.2BA3BA2BABA2BA3BA2BA
3B3.4B2.3B$9.B.B4.2B2A3B.4B9.6BA2BA2B2A5BABA4B.4B3.5B$10.3B3.6B2.2B2A
B9.6BABA10BA9B7.2A$9.B2AB3.5B5.2A11.27B8.A$10.2A4.6B17.11B.15B9.3A$
17.4B18.11B4.6B2.4B11.A$15.4B.B2A16.10B5.5B4.B.B2A$15.2A3.BA.A15.5B
11.3BA2B4.BA.A$16.A6.A16.4B13.ABA4B4.A$13.3A7.2A13.5B15.A.A.2A4.2A$
13.A24.2A16.A.A.ABABA$39.A12.2A.A.A.A4.A$36.3A13.A.2A.A.A.3A$36.A21.
2A.A!
User avatar
Vort
Posts: 249
Joined: May 14th, 2024, 6:35 am

Re: Small Four-Digit Prime Period Guns

Post by Vort »

confocaloid wrote: July 1st, 2024, 8:42 amIt seems likely that the same basic design (varying the Herschel-to-glider converter and/or the pulse dividers and adjusting the trombone slides) will reduce many or all of them ...
Right. It allowed to drop maximum area below 21k (except for gun_19 of course):

Code: Select all

"gun_19","22275"
"gun_9161","20878"
"gun_9241","20878"
"gun_3407","20687"
gun_coll_density_v9.png
gun_coll_density_v9.png (58.51 KiB) Viewed 12686 times
gun_coll_area_v25.png
gun_coll_area_v25.png (69.11 KiB) Viewed 12686 times
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confocaloid
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Re: Small Four-Digit Prime Period Guns

Post by confocaloid »

gun_4813 in 130-by-108 (down from 131-by-115), keeping the same ideas but changing the geometry to reduce the glider loop and eliminate intersections between the closed glider track and the open pulse-dividing track:

Code: Select all

#C [[ MAXGRIDSIZE 9 KILLGLIDERS THEME Catagolue ]]
x = 130, y = 108, rule = B3/S23
36b2o2bo$35bob4o$35bo$33b2ob7o$31bo2bobo6bo$31b2o3bob2o2b2o$35b2ob2o4$
37b2o$37b2o8b2o$47bo13b2o$45bobo13b2o$45b2o$73b2o$52b2o19b2o$52b2o11b
2o$63b2ob3o$56bo7bob3o$52bo4bo3bo2bo4b2o$35b2o14b2o3b2o2bo3bo5bo$36bo
13b2o4bo2bo3bo4bobo$33b3o15b6ob2o3bo4b2o$9bo23bo19b3o4bo$9b3o$12bo$11b
2o3$3b2o$3bo$2obo$o2b3o4b2o54b2o$b2o3bo3b2o54bo$3b4o60b3o$3bo15b2o48bo
$4b3o12bobo$7bo13bo$2b5o14b2o$2bo27bo19b2o$4bo23b3o18bobo$3b2o22bo21bo
$27b2o19b2o$47bo8b2o9b2o$36b2o9b3o6b2o5b2o2bobo$36bobo11bo12bobobo2bo$
38bo4b2o4b2o14bobob2o$38bob2o2bo19b2obo$35b2obobo3bobo20bob2o49bo$35b
2obobo4b2o20bobo2bo45b3o$29b2o7bob2o20b2o4bo2b2o44bo$19b2o7bo2bo3b4o2b
o6b2o11bo2bo52b2o$18bobo8b2o4bo3b2o6bo2bo11b2o4bo2b2o$18bo18b2o9bobo
16bobo2bo$17b2o19bo10bo17bob2o54b2o$9bo26bo27b2obo58bo$9b3o24b2o4b2o
21bobob2o3b2o50bob2o$12bo29bo2bob2o14bobobo2bo3b2o42b2o4b3o2bo$11b2o
30b3obobo13b2o2bobo48b2o3bo3b2o$47bobo17b2o54b4o$43b5ob3o57b2o15bo$3b
2o38bo4bo3bo55bobo12b3o$3bo42bobo2b2o55bo13bo$2obo42b2o59b2o14b5o$o2b
3o4b2o115bo$b2o3bo3b2o113bo$3b4o118b2o$3bo15b2o$4b3o12bobo38b2o$7bo13b
o37bobo$2b5o14b2o36bo$2bo55b2o$4bo$3b2o2$58bo18b2o$58b3o16b2o$61bo$60b
2o$87bo$48b2o37b3o$49bo40bo5bobo$49bobo37b2o5b2o$39bo10b2o45bo$37b3o$
36bo$36b2o$21b2o$22bo$22bob2o47b2o24b2o$23bo2bo46bobo16b2o5bobo$24b2o
49bo16b2o7bo$39b2o34b2o24b2o$39b2o22b2o3b2o$61bo2bo4bo18bo$61b3o5bobo
15bobob2o$70b2o15bobobobo$61b3o20b2obobobobo2bo$47bo3b2o8bo2bo19bo2bo
2b2ob4o$46bobo3bo10b2o21b2o4bo$42b2obobo3bo40bobo$42b2obo4bo42b2o$46b
5obo$38b2obob2obo4bobo75bo$38bob2obo2bob2o2bo74bobo$31b2o12b2obob2o76b
2o$31b2o!
Previous gun:

Code: Select all

#C [[ MAXGRIDSIZE 9 KILLGLIDERS THEME Catagolue ]]
x = 131, y = 115, rule = B3/S23
o57bo11b2o$57bobo10b2o$49bo3b2o2bobo$35bo12bobo2bo2b2ob2o$35b3o10bobo
3bobo$38bo10bob4o2bob2o$11b2o24b2o12bo3bobob2o$12bo37bo3bobo$6b2o2bo4b
o33bo3bobo$6bo2bob5o33b2o3bo$3b2obob2o18b2o$3bo2bo3b3ob4o10bo$5bob2o3b
obo2bo8bobo26b2o$4b2obo18b2o23b2ob3o5b2o$7bo42b3ob2o6b2o$7b2o42b2ob3o
20b2o7b2o$54b2o20bo2bo6b2o$77b2obo$80bo$80b2o$7b2o56b2o$7bo58bo$4b2obo
29b2o24b3o$4bobo30b2o11b2o11bo$50bo$46bo4b3o$44b3o6bo$43bo28b2o$43b2o
26bobo$71bo$70b2o$51b2o$52bo$52bob2o15b2o$44b2o4b3o2bo14bo2bo2b2o11b2o
$44b2o3bo3b2o16b2o2bobo11b2o$49b4o20b2o$35b2o15bo20bo$5b2o27bobo12b3o
18b2obo2bo$b2o3bo27bo13bo21bob2obobo$bo2bobobo24b2o14b5o20bobo$3b2obob
3o42bo17b2o2bo$5bobo3bo39bo17b3ob2o$5bobo2b2o39b2o15bo$6bo62b3ob2o$71b
ob2o$50b2o$50bobo28b2o$52bo4b2o22b2o7b2o$48b4ob2o2bo2bo29bo$48bo2bobob
obob2o27bobo$21bo29bobobobo30b2o40bo$19b3o30b2obobo70bobo$18bo37bo72b
2o$17bobo$17bobo22b2o24b2o$18bo24bo7b2o15b2o$43bobo5b2o$44b2o77b2o$
123bo$8bo116bo$2b2o5bo74bo20b2o14b5o$2bo3bo76bobo20bo13bo$83bobo20bobo
12b3o$6bobo3bob2o68bo22b2o15bo$13b2o39b2o29b3o33b4o$9bo12b2o30bo32bo
28b2o3bo3b2o$8bobo11bobo17bobo10b3o58b2o4b3o2bo$9b2obo11bo18b2o12bo66b
ob2o$10b3o11b2o17bo80bo$11bo111b2o2$5bob2o$3b3ob2o106b2o$2bo112bo$3b3o
b2o107b3o$5b2o2bo108bo$8bobo$4bob2obobo16bo$4b2obo2bo15b3o$7bo17bo$7b
2o16b2o$5b2o2bobo113b2o$4bo2bo2b2o113bo$5b2o99b2o19bo$107bo18b2o$107bo
bo8b2o4bo3b2o$108b2o7bo2bo3b4o2bo$38b2o78b2o7bob2o$38bo85b2obobo$36bob
o85b2obobo$36b2o41bo47bob2o$12b2o63b3o22bo24bo$12b2o62bo23b3o22bobo$
76b2o21bo25b2o$99b2o$11b2o103b2o$12bo103bo$9b3o81bo23b3o$9bo15b2o5b2o
58bobo24bo$26bo5bo52b2ob2o3bo$23b3o7b3o30b2o15bo2bob2o$23bo11bo29bobo
5b2o8b2o$65bo7b2o21b2o$64b2o22bo2bo4b2o$88b4o$78bo6bo$74b2obobo5b5o11b
o$73bobobobo9bo7b2obobo$70bo2bobobobob2o4bo8bobobobo$70b4ob2o2bo2bo4b
2o4bo2bobobob2o$74bo4b2o12b4ob2o2bo$72bobo22bo4bo$72b2o19b2o2bob3o$93b
2o3b2o!
edit 1: that can be welded to save one column:

Code: Select all

#C [[ MAXGRIDSIZE 9 KILLGLIDERS THEME Catagolue ]]
x = 129, y = 108, rule = B3/S23
35b2o2bo$34bob4o$34bo$32b2ob7o$30bo2bobo6bo$30b2o3bob2o2b2o$34b2ob2o4$
36b2o$36b2o8b2o$46bo13b2o$44bobo13b2o$44b2o$72b2o$51b2o19b2o$51b2o11b
2o$62b2ob3o$55bo7bob3o$51bo4bo3bo2bo4b2o$34b2o14b2o3b2o2bo3bo5bo$35bo
13b2o4bo2bo3bo4bobo$9bo22b3o15b6ob2o3bo4b2o$9b3o20bo19b3o4bo$12bo$11b
2o3$3b2o$3bo$2obo$o2b3o4b2o$b2o3bo3b2o53b2o$3b4o58bo$3bo15b2o45b3o$4b
3o12bobo46bo$7bo13bo$2b5o14b2o$2bo$4bo26bo17b2o$3b2o24b3o16bobo$28bo
19bo$28b2o17b2o$46bo8b2o9b2o$37b2o7b3o6b2o5b2o2bobo$37bobob2o6bo12bobo
bo2bo$39bobobo4b2o14bobob2o$39bo3bo19b2obo$36b2obo3bobo20bob2o49bo$36b
2obob2ob2o20bobo2bo45b3o$30b2o7bo2bo18b2o4bo2b2o44bo$20b2o7bo2bo3b4o2b
o4b2o11bo2bo52b2o$19bobo8b2o4bo3b2o4bo2bo11b2o4bo2b2o$19bo18b2o7bobo
16bobo2bo$18b2o19bo8bo17bob2o54b2o$37bo25b2obo58bo$9bo27b2o2b2o21bobob
2o3b2o50bob2o$9b3o29bo2bob2o14bobobo2bo3b2o42b2o4b3o2bo$12bo29b3obobo
13b2o2bobo48b2o3bo3b2o$11b2o33bobo17b2o54b4o$42b5ob3o57b2o15bo$42bo4bo
3bo55bobo12b3o$3b2o40bobo2b2o55bo13bo$3bo41b2o59b2o14b5o$2obo122bo$o2b
3o4b2o112bo$b2o3bo3b2o112b2o$3b4o$3bo15b2o38b2o$4b3o12bobo36bobo$7bo
13bo36bo$2b5o14b2o34b2o$2bo$4bo$3b2o$57bo18b2o$57b3o16b2o$60bo$59b2o$
86bo$47b2o37b3o$48bo40bo5bobo$48bobo37b2o5b2o$38bo10b2o45bo$36b3o$35bo
$35b2o$20b2o$21bo$21bob2o47b2o24b2o$22bo2bo46bobo16b2o5bobo$23b2o49bo
16b2o7bo$38b2o34b2o24b2o$38b2o22b2o3b2o$60bo2bo4bo18bo$60b3o5bobo15bob
ob2o$69b2o15bobobobo$60b3o20b2obobobobo2bo$46bo3b2o8bo2bo19bo2bo2b2ob
4o$45bobo3bo10b2o21b2o4bo$41b2obobo3bo40bobo$41b2obo4bo42b2o$45b5obo$
37b2obob2obo4bobo75bo$37bob2obo2bob2o2bo74bobo$30b2o12b2obob2o76b2o$
30b2o!
edit 2: processed in jobs/7262296563.
edit 3: gun_5483 in 140-by-107 (down from 132-by-125) submitted and processed in jobs/7263766675.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Small Four-Digit Prime Period Guns

Post by confocaloid »

gun_6547 in 123-by-106 (down from 130-by-114), submitted and processed in jobs/7271713662:

Code: Select all

#C [[ MAXGRIDSIZE 9 THEME Catagolue KILLGLIDERS ]]
x = 123, y = 106, rule = B3/S23
86b2o$86bo$74bo12bo$74b3o7b4o$77bo6bo$76b2o9b3o$87bo2bo$89b2o$68b2o2bo
$68bo2bobo$69bob2o$70bo$71b2o8b2o$72bo8bobo$70bo11bo$70b2o3$81b2o$45b
2o6b2o26bo$45bo7bo28b3o$46b3ob2obo8bo21bo28bo$48bobobo8bobo47b3o$49bo
12bo14bo32bo$75b3o32b2o$74bo$74b2o$118b2o$28b2o89bo$28b2o89bob2o$34b2o
75b2o4b3o2bo$28b4o2bobo74b2o3bo3b2o$27bo4bobobo79b4o$27bobobobobo38b2o
26b2o15bo$22b2o4b2obobo40bobo24bobo12b3o$23bo8bobo41bo24bo13bo$23bobo
7bo42b2o22b2o14b5o$24b2o22bo43bo27bo$47bobo42b3o23bo$28bo18bo2bo44bo
22b2o$26b2o18b2ob2o25bo17b2o$27b2o9b2o4bo4bo21b2o2bobo$37bo2b2o2b4o2bo
4b2o14bobo2bobo6b2o$36bo11b2o6bo17b2o2bo5bobo$37bo3bo4b2o5b3o19bobo6bo
$31b2obo3b3o6bo5bo18bo2bob2o2b2obo$31b5o10bo24bobobo6bobob2o$29bo6b2o
9b3o22bo2b4o3bobob2o$29bo6b2o11bo23b2o3bo2b2obo7b2o$29bo2bobo41bo4bo2b
4o3bo2bo7b2o3b2o$30b2o41b2ob2o4b2o3bo4b2o8bobobobo$32bo5bo34b2o9b2o18b
obo$41b2o33b2o6bo19bo2bo$20b2o17bo2bo22b2o10bo8bo18bobo$20bo14bobob3o
14b2o7b2o9bo8b2o19bo$21bo10bo4bo19bo18b2o$20b2o10b4ob3o17bobo$5b2o12bo
16bo3bo17b2o$5b2o12b3o12bobo2b2o$b2o19bo11b2o85b2o$2bo18b2o98b2o$bo9bo
66b2o$b2o7bobo23b2o40b2o$3bo6bobo23b2o$b2o2bo5bo10b2o77b2o$o2b2obo15b
2o76bobo$3o2bo29b2o63bo18b2o$3b2o29bobo26bo35b2o7b2o9bo$2o22b2o9bo26bo
bo43b2o10bo$bob2o14b2obo2bo35bo2bo54b2o$bo2bo13bobob2o37bobo52b2o$2b2o
14b2o2bo37b2obobo50b2ob2o$22bobo32b2o4bob3o51bo$6b2o15b2o32bob4o5bo47b
2o3bo$7bo51bo7b2o46bo2b4o$4b3o52bob2o51bobobo$4bo55b2o2bo50bo2bob2o$
63b2o31b2o20bobo$97bo19b2o2bo$60bo36bobo14bobo2bobo$58b3o37b2o14b2o2bo
bo$33bo23bo61bo$31b3o23b2o$30bo$30b2o20bo16b2o$52bo16bo15bo$67bobo15b
3o6b2o$52bo14b2o19bo6bo$51b2o34b2o6bobo$49b2o6bo38b2o$48bo7bobo$20b2o
25bo7bo2bo$19bobo5b2o19bo2bo4b2o51b2o$19bo7b2o15b2o3b2obo56bobo$18b2o
23bobo5b2o31b2o11b2o12bo$43bo40b2o11b2o12b2o$32bo9b2o$28b2obobo15b2o3b
2o$27bobobobo15bo4bo2bo$24bo2bobobobob2o10bobo5b3o$24b4ob2o2bo2bo10b2o
59b2o$28bo4b2o20b3o50bobo$26bobo25bo2bo52bo$26b2o26b2o21bo32b2o$78bo
20b2o$76b3o20b2o!
Previous gun:

Code: Select all

#C [[ MAXGRIDSIZE 9 THEME Catagolue KILLGLIDERS ]]
x = 130, y = 114, rule = B3/S23
o57bo11b2o$57bobo10b2o$49bo3b2o2bobo$35bo12bobo2bo2b2ob2o$35b3o10bobo
3bobo$38bo10bob4o2bob2o$11b2o24b2o12bo3bobob2o$12bo37bo3bobo$6b2o2bo4b
o33bo3bobo$6bo2bob5o33b2o3bo$3b2obob2o18b2o$3bo2bo3b3ob4o10bo$5bob2o3b
obo2bo8bobo28bobo$4b2obo18b2o24b3o7b2o$7bo44bo2b2o4bobo$7b2o43b2ob4o
18b2o7b2o$54b3o19bo2bo6b2o$77b2obo$80bo$80b2o$7b2o56b2o$7bo58bo$4b2obo
29b2o24b3o$4bobo30b2o11b2o11bo$50bo$46bo4b3o$44b3o6bo$43bo28b2o$43b2o
26bobo$71bo$70b2o$51b2o$52bo$52bob2o15b2o$44b2o4b3o2bo14bo2bo2b2o11b2o
$44b2o3bo3b2o16b2o2bobo11b2o$49b4o20b2o$35b2o15bo20bo$5b2o27bobo12b3o
18b2obo2bo$b2o3bo27bo13bo21bob2obobo$bo2bobobo24b2o14b5o20bobo$3b2obob
3o42bo17b2o2bo$5bobo3bo39bo17b3ob2o$5bobo2b2o39b2o15bo$6bo62b3ob2o$71b
ob2o2$81b2o$52b2o27b2o7b2o$52bobo35bo$54bo4b2o27bobo38bo$21bo28b4ob2o
2bo2bo25b2o37bobo$19b3o28bo2bobobobob2o65b2o$18bo34bobobobo$17bobo34b
2obobo$17bobo38bo9b2o$18bo49b2o$15bo28b2o76b2o$14b3o28bo7b2o67bo$14b3o
28bobo5b2o69bo$46b2o56b2o14b5o$2b2o7b4o69bo20bo13bo$2b2o3b2obo2bob2o
66bobo19bobo12b3o$6bobo4bob2o66bobo20b2o15bo$6bobo2bobobo24bo43bo35b4o
$11bob2o26b2o42b3o27b2o3bo3b2o$8b2o12b2o16b2o45bo27b2o4b3o2bo$9b5o8bob
o31b2o65bob2o$24bo31bo66bo$24b2o31b3o62b2o$59bo2$5bob2o105b2o$3b3ob2o
105bo$2bo112b3o$3b3ob2o108bo$5b2o2bo$8bobo$4bob2obobo16bo$4b2obo2bo15b
3o$7bo17bo$7b2o16b2o97b2o$5b2o2bobo112bo$4bo2bo2b2o93b2o19bo$5b2o99bo
18b2o$106bobo8b2o4bo3b2o$107b2o7bo2bo3b4o2bo$117b2o7bob2o$123b2obobo$
123b2obobo$78bo47bob2o$76b3o22bo10bo13bo$11b2o20b2o40bo23b3o9bobo10bob
o$11b2o20b2o40b2o21bo13bo11b2o$98b2o17b2o$118bo$113b2o3bob2o$92bo20b2o
2b2obo2bo$91bobo26bob2o$84b2ob2o3bo20b2o5bo$65b2o15bo2bob2o24bo5b2o$
19b2o5b2o36bobo5b2o8b2o31bo$20bo5bo37bo7b2o21b2o17b2o$17b3o7b3o33b2o
22bo2bo4b2o$17bo11bo57b4o$77bo6bo$73b2obobo5b5o11bo$72bobobobo9bo7b2ob
obo$69bo2bobobobob2o4bo8bobobobo$69b4ob2o2bo2bo4b2o4bo2bobobob2o$73bo
4b2o12b4ob2o2bo$71bobo22bo4bo$71b2o19b2o2bob3o$92b2o3b2o!
edit 1: several more guns with variations of the same design submitted and processed in jobs/7274276998:
gun_3079 (12947), gun_3319 (14336), gun_3343 (14448), gun_3359 (14706), gun_3391 (14950), gun_3407 (14934), gun_6199 (12495), gun_6563 (13500), gun_6571 (13734), gun_6619 (13020), gun_6659 (14080), gun_6691 (13000), gun_6763 (14916), gun_8431 (12720), gun_8599 (14464), gun_8783 (13750), gun_8839 (15444), gun_8863 (16200), gun_8923 (13608), gun_8951 (15694), gun_8963 (14803), gun_8971 (15048), gun_8999 (13986), gun_9007 (14224), gun_9059 (14430), gun_9067 (14672), gun_9103 (13986), gun_9127 (14706), gun_9227 (16422), gun_9923 (15410)
I think there will be more reductions, if these families are applied to all four-digit prime periods.

edit 1a: current status, guns wih bounding box area > 19000:

Code: Select all

"apgcode","occurrences"
"gun_19","22275"
"gun_9161","20878"
"gun_9241","20878"
"gun_3469","20400"
"gun_3461","20115"
"gun_9137","20020"
"gun_2621","20010"
"gun_3457","19832"
"gun_8317","19817"
"gun_8969","19738"
"gun_9049","19738"
"gun_9209","19738"
"gun_9221","19738"
"gun_3413","19551"
"gun_3433","19551"
"gun_3449","19551"
"gun_8819","19458"
"gun_9041","19458"
"gun_9133","19458"
"gun_9281","19458"
"gun_2557","19448"
"gun_3373","19272"
"gun_3389","19272"
"gun_8713","19180"
"gun_8731","19180"
"gun_2549","19170"
"gun_5813","18906"
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
User avatar
Vort
Posts: 249
Joined: May 14th, 2024, 6:35 am

Re: Small Four-Digit Prime Period Guns

Post by Vort »

confocaloid wrote: July 4th, 2024, 12:06 am gun_4813 in 130-by-108 (down from 131-by-115), keeping the same ideas but changing the geometry to reduce the glider loop and eliminate intersections between the closed glider track and the open pulse-dividing track:
...
edit 1: that can be welded to save one column: ...
I changed this design for easier modification by script (and also reduced bbox slightly).
However, for some reason, script run for this gun had pretty high failure rate (16%).
Did I broke it with my changes?
Previous design had 0% failures by the way (if I remember correctly).

Also I made simulation twice faster in my script.

Code: Select all

x = 126, y = 104, rule = LifeSuper
39.2S$38.S.S$32.2S4.S$30.S2.S2.2S.4S$30.2S.S.S.S.S2.S$33.S.SBSBSB$33.
S.SB2SB$34.SB.2B$37.3B19.2A$37.4B6.2S9.B2AB$35.3B2SB6.S11.2B$35.3B2SB
3.BS.S12.2B9.2A$33.10B.B2S3.2A6.6B6.B2AB$32.13B4.B2AB4.8B5.3B$31.14B
4.4B3.5B2A4B4.B$30.15B.B2.3B.6BABABA10B$14.2O13.4B2.8B2.9BA3B4A2BA11B
$14.O13.4B5.6B.9B2A9BA12B$9.2O5.O10.4B4.17B2ABA6BABA13B$9.O5.2O9.4B5.
2S4.12BABA6B2A15B$6.2O.O.3B11.4B7.S5.12B2A17B3.4B$6.O2.O.2O2B2O7.4B5.
3S7.27B7.4B$8.2O.O.2B2OB5.4B6.S10.22B.2B9.4B$11.O.4B5.4B18.10B3.4B2A
3B13.4B$11.2O.4B3.4B19.9B.11B15.4B$14.10B21.20B16.4B$2.2O.2O7.9B25.4B
.12B17.4B$2.2O.O8.8B26.4B.11B19.4B$5.O.B3.10B27.3B2.B3D4B.4B18.4B$5.
3OB.2B2O7B28.B3.2BD4B4.2A19.4B$3.2O2.BO3B2O7B32.2B3D2B4.A21.4B$2.O2.
4O12B32.6B6.3A19.4B$2.2O.O.2B3.7B.B2O29.7B8.A20.4B$3.O2.3OB2.7B.BO.O
27.8B30.4B$3.O5.O4.4B5.O26.8B32.4B$4.5O5.4B5.2O25.8B33.4B$6.O8.4B13.A
15.2AB2.6B33.4B$16.4B10.3A14.A.AB.7B34.4B$17.4B8.A17.A4.6B36.4B$18.4B
7.2A15.2A4.6B37.4B$19.4B3.5B14.A7.B2A2B7.2A29.4B$20.4B2.3B16.3A5.B2A
3B2.2A2.A.A29.4B$21.9B7.2A9.A3.7B2.A.A.A2.A29.4B$22.8B8.A2.2A4.2A4.6B
3.BA.AB2A30.4B13.Q$23.10B3.B.A.A.A4.5B.7B2.2ABA34.4B10.3Q$23.7B2A2B.B
3A.A.A.AB3.10B3.3BA.2A32.4B8.Q$23.7B2A3BAB2.A.A.2AB.11B.4B.BABA2.A31.
4B7.2Q$23.12B4A2.A3.15B2A2B.BA2.2A32.4B3.5B$21.2AB.7B3.2B.A.2A3.B2A
10B.A2BA2B39.4B2.3B$20.A.AB.7B2.B3A2.A4.A2BA11B2A2B.BA2.2A34.9B7.2Q$
20.A5.4B4.A5.A4.BABA9B.4B.BABA2.A35.8B8.Q$19.2A5.4B5.5A5.2BA10B4.3BA.
2A38.10B3.B.Q.2Q$25.4B8.A8.12B4.2ABA41.7B2Q2B.B3Q2.Q$24.4B16.4B4.5B5.
BA.AB2A3.2A33.7B2Q3BQB2.2Q$9.pA13.4B15.3B2AB5.4B4.A.A.A2.A2.B2AB32.
12B4Q$9.3pA10.4B12.2A.A.A2.A7.4B3.2A2.A.A4.2B6.B24.2QB.7B3.2B.Q$12.pA
8.4B13.A.2A.3A9.4B6.2A6.2B4.3B22.Q.QB.7B2.B3Q$11.2pA7.4B18.A13.4B12.
14B18.Q5.4B4.Q$11.5B3.4B19.A.2A11.4B11.14B17.2Q5.4B5.5Q$13.3B2.4B21.A
.A12.4B.B5.17B23.4B10.Q$3.2pA7.9B38.28B21.4B9.Q$3.pA8.8B39.30B18.4B
10.2Q$2pA.pA.B3.10B40.31B16.4B$pA2.3pAB.2B2pA7B40.32B14.4B$.2pA2.BpA
3B2pA7B41.32B12.4B$3.4pA12B39.2AB2.23B3.4B10.4B$3.pA.2B3.7B.B2pA36.A.
AB4.18B7.4B8.4B$4.3pAB2.7B.BpA.pA35.A8.13B.2B9.4B6.4B$7.pA4.4B5.pA34.
2A9.12B13.4B4.4B$2.5pA5.4B5.2pA44.11B15.4B2.4B$2.pA10.4B49.12B16.8B$
4.pA9.4B48.12B17.6B$3.2pA10.4B37.A9.9B2AB18.4B$16.4B36.3A7.9B2A3B15.
6B$17.4B38.A6.15B2.Q10.8B$18.4B36.2A6.15B2.3Q7.4B2.4B$19.4B35.5B3.15B
5.Q5.ABAB4.4B$20.4B22.2A12.20B5.2Q4.B2AB6.4B$21.4B22.A11.13B.8B4.8BA
8.4B$22.4B21.A.AB8.12B4.7B5.6B10.4B$23.4B10.A10.2AB.3B4.12B4.8B2.8B
11.4B$24.4B7.3A12.22B4.2B2.15B10.4B$25.4B5.A15.22B9.14B11.4B$26.4B4.
2A15.20B11.13B12.4B$19.2A6.9B14.21B12.10B.B2Q11.4B$20.A7.6B14.23B14.
3B2QB3.BQ.Q11.4B$20.A.2A5.6B3.B2.2B2.24B.B2A12.3B2QB6.Q12.4B$21.A2.A
4.33B2.5B.BA.A13.4B6.2Q12.4B$22.2AB3.27B.7B2.2B6.A13.3B22.4B$23.14B2A
16B2.3B.B4.B6.2A9.QB.2B24.4B$24.13B2A16B4.2B2A3.2A15.Q.QB2QB24.4B$25.
29B4.BA2.A4.A15.Q.QBQBQB24.4B$25.17B.4B12.3A5.A.A10.2Q.Q.Q.Q.Q2.Q23.
4B$26.15B3.2B22.2A10.Q2.Q2.2Q.4Q24.4B$26.15B3.3B12.3A20.2Q4.Q29.4B$
27.13B5.A2B.2A8.A2.A25.Q.Q28.4B$29.13B2.A.A2B.A10.2A26.2Q29.4B$28.8B
4.2A.A.AB2.A71.4B$28.6B6.2ABA4.A73.3BA$28.5B8.B2.5A.A72.ABA$28.B.B5.
2A.A.2A.A4.A.A72.2A$29.3B4.A.2A.A2.A.2A2.A74.B$28.B2AB11.2A.A.2A$29.
2A!

Code: Select all

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Net;
using System.Text;
using System.Text.RegularExpressions;

namespace ConsoleApplication145
{
    class Pattern : IEquatable<Pattern>
    {
        public readonly int Width;
        public readonly int Height;

        public readonly int WordWidth;
        public readonly int WordCount;
        ulong[] cells;

        public Pattern(int width, int height)
        {
            Width = width;
            Height = height;
            WordWidth = (Width + 63) / 64;
            WordCount = WordWidth * Height;
            cells = new ulong[WordCount];
        }

        public Pattern(int width, int height, Pattern source, int offsetX, int offsetY)
            : this(width, height)
        {
            for (int y = 0; y < Height; y++)
                for (int x = 0; x < Width; x++)
                    this[x, y] = source[x + offsetX, y + offsetY];
        }

        public bool this[int x, int y]
        {
            get
            {
                int div = x / 64;
                int shift = x % 64;
                return (cells[div + y * WordWidth] >> shift & 1UL) == 1UL;
            }
            set
            {
                int div = x / 64;
                int shift = x % 64;
                cells[div + y * WordWidth] &= ~(1UL << shift);
                cells[div + y * WordWidth] |= (value ? 1UL : 0UL) << shift;
            }
        }

        private static void HalfAdder(ulong a, ulong b, out ulong carry, out ulong sum)
        {
            sum = a ^ b;
            carry = a & b;
        }

        private static void FullAdder(ulong a, ulong b, ulong c, out ulong carry, out ulong sum)
        {
            ulong temp = a ^ b;
            sum = temp ^ c;
            carry = a & b | temp & c;
        }

        public Pattern Advance()
        {
            ulong[] n1 = new ulong[WordCount];
            ulong[] n2 = new ulong[WordCount];
            for (int y = 0; y < Height; y++)
            {
                for (int x = 0; x < WordWidth; x++)
                {
                    ulong w = cells[x + y * WordWidth];
                    n1[x + y * WordWidth] |= w >> 1;
                    n2[x + y * WordWidth] |= w << 1;
                    if (x != 0)
                        n1[x - 1 + y * WordWidth] |= w << 63;
                    else
                    {
                        int shift = (Width + 63) % 64;
                        n1[WordWidth - 1 + y * WordWidth] |= (w & 1UL) << shift;
                    }
                    if (x != WordWidth - 1)
                        n2[x + 1 + y * WordWidth] |= w >> 63;
                    else
                    {
                        int shift1 = 64 - Width % 64;
                        ulong mask = 0xFFFFFFFFFFFFFFFFUL >> shift1;
                        n2[x + y * WordWidth] &= mask;
                        int shift2 = (Width - 1) % 64;
                        n2[y * WordWidth] |= w >> shift2;
                    }
                }
            }

            var result = new Pattern(Width, Height);
            for (int i = 0; i < cells.Length; i++)
            {
                int im1 = i - WordWidth < 0 ? i - WordWidth + WordCount : i - WordWidth;
                int ip1 = i + WordWidth >= WordCount ? i + WordWidth - WordCount : i + WordWidth;
                ulong j, k, l, m, n, o;
                FullAdder(n1[im1], n1[i], n1[ip1], out m, out j);
                FullAdder(n2[im1], n2[i], n2[ip1], out n, out k);
                HalfAdder(cells[im1], cells[ip1], out o, out l);
                ulong x, y, z, w;
                FullAdder(j, k, l, out y, out w);
                FullAdder(m, n, o, out x, out z);
                result.cells[i] = (cells[i] | w) & (y ^ z) & ~x;
            }
            return result;
        }

        public void Clear(int startX, int startY, int countX, int countY)
        {
            for (int y = 0; y < countY; y++)
                for (int x = 0; x < countX; x++)
                    this[x + startX, y + startY] = false;
        }

        public bool Search(Pattern pattern, int startX, int startY, int countX, int countY)
        {
            for (int y1 = 0; y1 < countY; y1++)
            {
                for (int x1 = 0; x1 < countX; x1++)
                {
                    bool found = true;
                    for (int y2 = 0; y2 < pattern.Height; y2++)
                    {
                        for (int x2 = 0; x2 < pattern.Width; x2++)
                        {
                            if (this[startX + x1 + x2, startY + y1 + y2] != pattern[x2, y2])
                            {
                                found = false;
                                break;
                            }
                        }
                        if (!found)
                            break;
                    }
                    if (found)
                        return true;
                }
            }
            return false;
        }

        public Pattern Normalize(ref int period)
        {
            Pattern gliderTop1 = ReadRLE("x = 3, y = 3", "3o$2bo$bo!");
            Pattern gliderTop2 = ReadRLE("x = 3, y = 3", "3o$o$bo!");
            Pattern gliderBottom1 = ReadRLE("x = 3, y = 3", "bo$2bo$3o!");
            Pattern gliderBottom2 = ReadRLE("x = 3, y = 3", "bo$o$3o!");
            Pattern gliderLeft1 = ReadRLE("x = 3, y = 3", "2o$obo$o!");
            Pattern gliderLeft2 = ReadRLE("x = 3, y = 3", "o$obo$2o!");
            Pattern gliderRight1 = ReadRLE("x = 3, y = 3", "2bo$obo$b2o!");
            Pattern gliderRight2 = ReadRLE("x = 3, y = 3", "b2o$obo$2bo!");

            Pattern expanded = new Pattern(Width + 6, Height + 6);
            expanded.Stamp(this, 3, 3);

            int lastPeriod = int.MinValue;
            int gliderTick = int.MaxValue;
            var latestGenerations = new List<Pattern>();
            for (int tick = 0; tick < 40000; tick++)
            {
                bool gliderFound =
                    expanded.Search(gliderTop1, 0, 0, Width + 4, 1) ||
                    expanded.Search(gliderTop2, 0, 0, Width + 4, 1) ||
                    expanded.Search(gliderBottom1, 0, Height + 3, Width + 4, 1) ||
                    expanded.Search(gliderBottom2, 0, Height + 3, Width + 4, 1) ||
                    expanded.Search(gliderLeft1, 0, 0, 1, Height + 4) ||
                    expanded.Search(gliderLeft2, 0, 0, 1, Height + 4) ||
                    expanded.Search(gliderRight1, Width + 3, 0, 1, Height + 4) ||
                    expanded.Search(gliderRight2, Width + 3, 0, 1, Height + 4);
                if (gliderFound)
                {
                    expanded.Clear(0, 0, expanded.Width, 3);
                    expanded.Clear(0, Height + 3, expanded.Width, 3);
                    expanded.Clear(0, 0, 3, expanded.Height);
                    expanded.Clear(Width + 3, 0, 3, expanded.Height);
                    period = tick - gliderTick;
                    if (period == lastPeriod)
                        return new Pattern(Width, Height, latestGenerations[0], 3, 3);
                    else
                    {
                        gliderTick = tick;
                        lastPeriod = period;
                    }
                }
                latestGenerations.Add(expanded);
                if (latestGenerations.Count > 12)
                    latestGenerations.RemoveAt(0);
                expanded = expanded.Advance();
            }
            return null;
        }

        public void Stamp(Pattern stamp, int xo, int yo)
        {
            for (int y = 0; y < stamp.Height; y++)
                for (int x = 0; x < stamp.Width; x++)
                    this[x + xo, y + yo] |= stamp[x, y];
        }

        public void WriteRLE(string fileName, string comment = null)
        {
            var sb = new StringBuilder();
            if (comment != null)
                sb.AppendLine($"#C {comment}");
            sb.AppendLine($"x = {Width}, y = {Height}, rule = B3/S23");
            var tags = new List<char>();
            for (int y = 0; y < Height; y++)
            {
                for (int x = 0; x < Width; x++)
                    tags.Add(this[x, y] ? 'o' : 'b');
                tags.Add(y == Height - 1 ? '!' : '$');
            }
            int lineLength = 0;
            for (int i = 0; i < tags.Count; i++)
            {
                int runCount = 1;
                while (i + 1 < tags.Count && tags[i] == tags[i + 1])
                {
                    i++;
                    runCount++;
                }
                string run = runCount == 1 ? $"{tags[i]}" : $"{runCount}{tags[i]}";
                if (lineLength + run.Length > 70)
                {
                    sb.AppendLine();
                    lineLength = 0;
                }
                sb.Append(run);
                lineLength += run.Length;
            }
            File.WriteAllText(fileName, sb.ToString());
        }

        public static Pattern ReadRLE(params string[] lines)
        {
            int x = 0;
            int y = 0;

            string scount = "";
            Pattern pattern = null;
            foreach (var line in lines)
            {
                if (line.StartsWith("#"))
                    continue;
                if (line.StartsWith("x"))
                {
                    var match = Regex.Match(line, "^x = ([0-9]+), y = ([0-9]+)");
                    if (!match.Success)
                        throw new Exception();
                    int width = int.Parse(match.Groups[1].Value);
                    int height = int.Parse(match.Groups[2].Value);
                    pattern = new Pattern(width, height);
                    continue;
                }

                for (int i = 0; i < line.Length; i++)
                {
                    char c = line[i];
                    if (c >= '0' && c <= '9')
                    {
                        scount += c;
                    }
                    else
                    {
                        if (c == '$')
                        {
                            x = 0;
                            int count = 1;
                            if (scount != "")
                                count = int.Parse(scount);
                            y += count;
                            scount = "";
                        }
                        else if (c == '!')
                            break;
                        else if (c == 'o' || c == 'b')
                        {
                            int count = 1;
                            if (scount != "")
                                count = int.Parse(scount);
                            for (int k = 0; k < count; k++)
                            {
                                pattern[x, y] = c == 'o';
                                x++;
                                pattern.WrapCoordinates(ref x, ref y);
                            }
                            scount = "";
                        }
                    }
                }
            }
            return pattern;
        }

        public void ReadRLE(string fileName)
        {
            ReadRLE(File.ReadAllLines(fileName));
        }

        public override int GetHashCode()
        {
            ulong hash = (ulong)(Width << 16 | Height);
            for (int i = 0; i < cells.Length; i++)
                hash = hash ^ cells[i];
            return (int)(hash ^ hash >> 32);
        }

        public bool Equals(Pattern other)
        {
            if (Width != other.Width || Height != other.Height)
                return false;
            for (int i = 0; i < cells.Length; i++)
                if (cells[i] != other.cells[i])
                    return false;
            return true;
        }

        void WrapCoordinates(ref int x, ref int y)
        {
            if (x < 0)
                x += Width;
            else if (x >= Width)
                x -= Width;
            if (y < 0)
                y += Height;
            else if (y >= Height)
                y -= Width;
        }
    }

    class Component
    {
        public int X1;
        public int Y1;
        public int X2;
        public int Y2;
        public Pattern Pattern;

        public int X
        {
            get { return X1 + X2; }
        }

        public int Y
        {
            get { return Y1 + Y2; }
        }

        public Component(int x, int y, Pattern pattern)
        {
            X1 = x;
            Y1 = y;
            Pattern = pattern;
        }
    }

    class Params
    {
        public int Slide1;
        public int Slide2;
        public int Mul1;
        public int Mul2;
    }

    static class ShuffleClass
    {
        private static Random rng = new Random(1234321);

        public static void Shuffle<T>(this IList<T> list)
        {
            int n = list.Count;
            while (n > 1)
            {
                n--;
                int k = rng.Next(n + 1);
                T value = list[k];
                list[k] = list[n];
                list[n] = value;
            }
        }
    }

    class Program
    {
        public static bool IsPrime(int number)
        {
            if (number <= 1) return false;
            if (number == 2) return true;
            if (number % 2 == 0) return false;

            var boundary = (int)Math.Floor(Math.Sqrt(number));

            for (int i = 3; i <= boundary; i += 2)
                if (number % i == 0)
                    return false;

            return true;
        }

        static Dictionary<int, int> ParseCosts(string costsS)
        {
            var costs = new Dictionary<int, int>();
            if (costsS != null)
            {
                var lines = costsS.Split('\n');
                for (int i = 1; i < lines.Length - 1; i++)
                {
                    var spl = lines[i].Split(',');
                    int period = int.Parse(spl[0].Trim('"').Split('_')[1]);
                    int area = int.Parse(spl[1].Trim('"'));
                    costs.Add(period, area);
                }
            }
            return costs;
        }

        static Pattern Combine(params Component[] components)
        {
            int minX = int.MaxValue;
            int minY = int.MaxValue;

            foreach (var component in components)
            {
                if (component == null)
                    continue;
                minX = Math.Min(minX, component.X);
                minY = Math.Min(minY, component.Y);
            }

            int width = 0;
            int height = 0;
            foreach (var component in components)
            {
                if (component == null)
                    continue;
                width = Math.Max(width,
                    component.X + component.Pattern.Width - minX);
                height = Math.Max(height,
                    component.Y + component.Pattern.Height - minY);
            }

            Pattern pattern = new Pattern(width, height);
            foreach (var component in components)
            {
                if (component == null)
                    continue;
                pattern.Stamp(component.Pattern,
                    component.X - minX, component.Y - minY);
            }
            return pattern;
        }

        Program()
        {
            Component part1 = new Component(0, 0, Pattern.ReadRLE(
                "x = 56, y = 96, rule = B3/S23",
                "40b2o$40b2o2$52b2o$31b2o19b2o$31b2o15$35b3o$36bo8b2o$36b3o6bo$46b3o$",
                "48bo4$13bo15b2o$11b3o14bobo$10bo17bo$10b2o15b2o$26bo8b2o9b2o$26b3o6b2o",
                "5b2o2bobo$18b2o9bo12bobobo2bo$19bo2b2o4b2o14bobob2o$19bobobo19b2obo$",
                "11b2o4b3obobobo20bob2o$11b2o3bo3bobob2o20bobo2bo$16b4o2bo18b2o4bo2b2o$",
                "2b2o15bob2o4b2o11bo2bo$bobo12b3o2bo4bo2bo11b2o4bo2b2o$bo13bo5bo5bobo",
                "16bobo2bo$2o14b5o7bo17bob2o$18bo24b2obo$44bobob2o3b2o$26b2o14bobobo2bo",
                "3b2o$19b2obobo2bo14b2o2bobo$19bob2ob3o19b2o$23bo$23bob2o$24bobo6$39b2o",
                "$38bobo$38bo$37b2o4$37bo$37b3o$40bo$39b2o2$27b2o$28bo$28bobo$18bo10b2o",
                "$16b3o$15bo$15b2o$2o$bo$bob2o47b2o$2bo2bo46bobo$3b2o49bo$18b2o34b2o$",
                "18b2o22b2o3b2o$40bo2bo4bo$40b3o5bobo$49b2o$40b3o$26bo3b2o8bo2bo$25bobo",
                "3bo10b2o$21b2obobo3bo$21b2obo4bo$25b5obo$17b2obob2obo4bobo$17bob2obo2b",
                "ob2o2bo$10b2o12b2obob2o$10b2o!"
            ));
            Component part2 = new Component(61, 35, Pattern.ReadRLE(
                "x = 46, y = 54, rule = B3/S23",
                "36bo$34b3o$33bo$33b2o3$41b2o$42bo$42bob2o$34b2o4b3o2bo$34b2o3bo3b2o$",
                "39b4o$25b2o15bo$24bobo12b3o$24bo13bo$23b2o14b5o$43bo$41bo$41b2o13$3bo$",
                "3b3o$6bo$5b2o7$15b2o$8b2o5bobo$8b2o7bo$17b2o2$4bo$3bobob2o$3bobobobo$",
                "2obobobobo2bo$o2bo2b2ob4o$2b2o4bo$8bobo$9b2o!"
            ));
            Component part3 = new Component(11, -8, Pattern.ReadRLE(
                "x = 19, y = 23, rule = B3/S23",
                "9b2o$8bobo$2b2o4bo$o2bo2b2ob4o$2obobobobo2bo$3bobobobo$3bobob2o$4bo2$",
                "17b2o$8b2o7bo$8b2o5bobo$15b2o7$5b2o$6bo$3b3o$3bo!"
            ));
            Component[] parts4 = new Component[]
            {
                new Component(-17, 12, Pattern.ReadRLE(
                    "x = 23, y = 19, rule = B3/S23",
                    "9bo$9b3o$12bo$11b2o3$3b2o$3bo$2obo$o2b3o4b2o$b2o3bo3b2o$3b4o$3bo15b2o$",
                    "4b3o12bobo$7bo13bo$2b5o14b2o$2bo$4bo$3b2o!"
                )),
                new Component(-17, 8, Pattern.ReadRLE(
                    "x = 23, y = 21, rule = B3/S23",
                    "12b2o$12bo$7b2o5bo$7bo5b2o$4b2obo$4bo2bob2o2b2o$6b2obo3b2o$9bo$9b2o2$",
                    "2ob2o$2obo$3bo$3b3o4b2o$b2o3bo3b2o$o2b4o$2obo15b2o$bo2b3o12bobo$bo5bo",
                    "13bo$2b5o14b2o$4bo!"
                )),
                new Component(-19, 12, Pattern.ReadRLE(
                    "x = 25, y = 18, rule = B3/S23",
                    "11bo$11b3o$14bo$13b2o2$4b2o$3bobo$3bo$2obo$bobob2o5b2o$bobob2o5b2o$2ob",
                    "o$o2b4o14b2o$b2o3bo14bobo$3b2o18bo$3bo19b2o$5bo$4b2o!"
                )),
                new Component(-19, 8, Pattern.ReadRLE(
                    "x = 25, y = 22, rule = B3/S23",
                    "14b2o$14bo$9b2o5bo$9bo5b2o$6b2obo$6bo2bob2o2b2o$8b2obo3b2o$11bo$11b2o$",
                    "4b2o$3bobo$3bo$2obo$bobob2o5b2o$bobob2o5b2o$2obo$o2b4o14b2o$b2o3bo14bo",
                    "bo$3b2o18bo$3bo19b2o$5bo$4b2o!"
                ))
            };
            Component[] parts5 = parts4.Select(c => new Component(
                c.X - 2, c.Y + 34, c.Pattern)).ToArray();

            Console.Write("Preparing parameters...");

            var costsS = new WebClient().DownloadString(
                "https://catagolue.hatsya.com/textcensus/b3s23/synthesis-costs/gun");
            var costs = ParseCosts(costsS);

            var paramsList = new List<Params>();

            for (int mul1 = 1; mul1 <= 4; mul1++)
            {
                for (int mul2 = 1; mul2 <= 4; mul2++)
                {
                    int mul = mul1 * mul2;
                    if (mul1 > mul2 || mul == 1)
                        continue;
                    for (int slide1 = 0; slide1 < 30; slide1++)
                    {
                        for (int slide2 = 0; slide2 < mul; slide2++)
                        {
                            paramsList.Add(new Params
                            {
                                Mul1 = mul1,
                                Mul2 = mul2,
                                Slide1 = slide1,
                                Slide2 = slide2
                            });
                        }
                    }
                }
            }

            paramsList.Shuffle();

            Console.WriteLine(" Done");

            var newGuns = new SortedDictionary<int, Pattern>();
            var newGunsCosts = new Dictionary<int, int>();

            int failed = 0;
            for (int i = 0; i < paramsList.Count; i++)
            {
                Params p = paramsList[i];

                Component part4 = parts4[p.Mul1 - 1];
                Component part5 = parts5[p.Mul2 - 1];

                part2.X2 = p.Slide1;
                part2.Y2 = p.Slide1;
                part3.X2 = -p.Slide2;
                part3.Y2 = -p.Slide2;
                part4.X2 = -p.Slide2;
                part4.Y2 = -p.Slide2;

                Pattern gun = Combine(part1, part2, part3, part4, part5);

                Console.Write("\r" + new string(' ', 50) + "\r");
                Console.Write($"Current: {i,5}, Failed: {failed,5}, Total: {paramsList.Count}");

                int period = 0;
                Pattern normalizedGun = gun.Normalize(ref period);
                if (normalizedGun == null)
                {
                    failed++;
                    //gun.WriteRLE($"gun_x_{p.Mul1}_{p.Mul2}_{p.Slide1}_{p.Slide2}.rle");
                    continue;
                }
                int area = normalizedGun.Width * normalizedGun.Height;
                if (newGuns.ContainsKey(period) && area >= newGunsCosts[period])
                    continue;

                newGuns[period] = normalizedGun;
                newGunsCosts[period] = area;
            }
            Console.WriteLine();

            string logName = "report.txt";
            File.Delete(logName);

            foreach (var kv in newGuns)
            {
                int period = kv.Key;
                if (!costs.ContainsKey(period))
                    continue;

                Pattern gun = kv.Value;
                int area = newGunsCosts[period];
                if (costs[period] <= area)
                    continue;

                string reportLine = $"gun_{period,-4}: {costs[period],6} -> {area,6}";
                Console.WriteLine(reportLine);
                File.AppendAllLines(logName, new string[] { reportLine });
                gun.WriteRLE($"gun_{period}.rle");
            }
        }

        static void Main(string[] args)
        {
            new Program();
        }
    }
}

Code: Select all

gun_1933:  13625 ->  13230
gun_1949:  13860 ->  13335
gun_1973:  14336 ->  13416
gun_1997:  14577 ->  13650
gun_2021:  14112 ->  13728
gun_2029:  14112 ->  13860
gun_2069:  15812 ->  14310
gun_2141:  16836 ->  15429
gun_3037:  15576 ->  13440
gun_3061:  15827 ->  13416
gun_3109:  16335 ->  13780
gun_3181:  17112 ->  14124
gun_3221:  17375 ->  13936
gun_3229:  17640 ->  14070
gun_3253:  17907 ->  14040
gun_3301:  18447 ->  14552
gun_3373:  19272 ->  15180
gun_3389:  19272 ->  15151
gun_3413:  19551 ->  15260
gun_3461:  20115 ->  15792
gun_3469:  20400 ->  15933
gun_3517:  16236 ->  16159
gun_4133:  16383 ->  13312
gun_4157:  17030 ->  13696
gun_4229:  17292 ->  13520
gun_4253:  17160 ->  13910
gun_4261:  17292 ->  14040
gun_4349:  18090 ->  14124
gun_4357:  18360 ->  14256
gun_4373:  17955 ->  13832
gun_4397:  18632 ->  14231
gun_4733:  14577 ->  14520
gun_4789:  15312 ->  14630
gun_4813:  13932 ->  13780
gun_4861:  15561 ->  13755
gun_4877:  16065 ->  14124
gun_4909:  16065 ->  13728
gun_4933:  15812 ->  14231
gun_4957:  16577 ->  14960
gun_4973:  16065 ->  13965
gun_5021:  16577 ->  13936
gun_5077:  15252 ->  14040
gun_5189:  15750 ->  14522
gun_5197:  16002 ->  14659
gun_5261:  15128 ->  15042
gun_5309:  16512 ->  15151
gun_5413:  16770 ->  15510
gun_5477:  17292 ->  15904
gun_5581:  17556 ->  16272
gun_5653:  16899 ->  16820
gun_5693:  18090 ->  16790
gun_5701:  18360 ->  16936
gun_5749:  18360 ->  17052
gun_5813:  18906 ->  17464
gun_5821:  17688 ->  17612
gun_6373:  14820 ->  14040
gun_6389:  15312 ->  14520
gun_6397:  15561 ->  14763
gun_6421:  14820 ->  13416
gun_6469:  14820 ->  14630
gun_6581:  15312 ->  13624
gun_6637:  15561 ->  15096
gun_6653:  16065 ->  15594
gun_6661:  16320 ->  13728
gun_6701:  16065 ->  14715
gun_6709:  16320 ->  14960
gun_6733:  17097 ->  15707
gun_6781:  17097 ->  14824
gun_6829:  17097 ->  14070
gun_7229:  15576 ->  15151
gun_7237:  15827 ->  15290
gun_7477:  16335 ->  16046
gun_7541:  16592 ->  16016
gun_7549:  16851 ->  16159
gun_7621:  17280 ->  16272
gun_7717:  16851 ->  16820
gun_7741:  17640 ->  17612
gun_7789:  17375 ->  16936
gun_7877:  18447 ->  17346
gun_8053:  18720 ->  18422
gun_8573:  16768 ->  13803
gun_8581:  17028 ->  14040
gun_8597:  17554 ->  14520
gun_8669:  17290 ->  13545
gun_8677:  17554 ->  13674
gun_8693:  18088 ->  14148
gun_8821:  17028 ->  14740
gun_8837:  17554 ->  15232
gun_8893:  16768 ->  13755
gun_8933:  18088 ->  14850
gun_8941:  18358 ->  15096
gun_9013:  18088 ->  13992
gun_9029:  18630 ->  14472
gun_9109:  18630 ->  13832
gun_9133:  19458 ->  14338
gun_9157:  17554 ->  15070
gun_9173:  18088 ->  15568
gun_9181:  18358 ->  15820
gun_9221:  19738 ->  13936
gun_9277:  18904 ->  15429
gun_9341:  14592 ->  14175
gun_9349:  14835 ->  14310
gun_9677:  15080 ->  14904
gun_9781:  15827 ->  15012
User avatar
Anivec
Posts: 2002
Joined: January 28th, 2022, 7:18 pm
Location: In 4.3 miles, take a right onto Exit 54

Re: Small Four-Digit Prime Period Guns

Post by Anivec »

Would any of the following converters help reduce guns?:

Code: Select all

x = 814, y = 743, rule = LifeHistory
100.D$99.3D136.A$98.BDB2D135.3A18.BD$98.6B137.A16.B3D$98.6B.2B133.2A
15.2BDB2D$93.13B2A132.5B11.6B$93.13B2A134.3B7.B3.7B$92.2A10B.2B133.6B
4.15B$92.2AB.8B135.26B$93.B3.7B7.A127.26B$97.7B5.3A127.26B$97.8B3.A
130.26B$96.9B3.2A59.A15.A53.26B$96.14B59.3A11.3A50.28B$96.12B64.A9.A
53.27B$95.14B54.A7.2AB7.B2A51.2A23B.B$92.17B53.A.A6.4BA3.A4B51.2AB.
22B$91.18B.2B50.A.A7.2BABA.ABA2B53.B3.21B$91.20B2A47.3A.2A6.2BABA.ABA
2B57.21B.3B$90.19B.B2A46.A4.B8.2BAB.BA2B56.28B$89.18B4.B48.3AB2AB3.2B
.9B2.2B51.D28B$88.19B55.A.2AB.4B2.7B2.5B48.D30B$87.21B3.2B53.16B.6B
47.3D29B$86.22B2.4B52.23B49.30B$86.29B50.25B48.30B$88.27B48.27B48.30B
$88.27B47.2D26B48.30B$90.23B.B2A44.2D27B47.30B$90.22B2.BA.A44.2D24B.B
2A45.25B.2B$90.21B6.A45.D5B.18B.BA.A43.25B2.4B$89.21B7.2A45.B.2B2.17B
5.A44.23B5.2A.A$90.19B63.16B4.2A43.8B.13B6.2AB3A$91.18B64.14B53.2B4.
13B7.B4.A$91.3B2A13B65.11B62.12B6.2A.3A$89.2AB.B2AB3.9B66.10B65.9B7.A
.A$88.A.AB7.9B66.9B66.9B8.A.A$6.C74.C6.A10.8B49.C17.8B49.C17.8B10.A$
5.2BC72.2BC4.2A9.9B48.2BC15.9B48.2BC15.9B$5.3CB71.3CB15.7B49.3CB15.7B
49.3CB15.7B$6.4B35.A35.4B13.2B2A4B50.4B13.2B2A4B50.4B13.2B2A4B$7.4B
33.A.A35.4B12.BA2BA3B51.4B12.BA2BA3B51.4B12.BA2BA3B$8.4B33.A37.4B11.
2B2A4B.B50.4B11.2B2A4B.B50.4B11.2B2A4B.B$9.4B71.4B11.11B49.4B11.11B
49.4B11.11B$10.4B29.5A37.4B11.12B4.B43.4B11.12B4.B43.4B11.12B4.B$11.
4B27.A4.A12.2A24.4B9.15B.B2A43.4B9.15B.B2A43.4B9.15B.B2A$12.4B25.A.BA
B8.2A5.A25.4B8.17B2A44.4B8.17B2A44.4B8.17B2A$13.4B21.A2.A.2AB8.A.A.3A
27.4B6.17B.B46.4B6.17B.B46.4B6.17B.B$14.4B19.A.A.A.4BA8.A.A30.4B5.15B
51.4B5.15B51.4B5.15B$15.4B19.A2.A3.BABA.2B3.B2A32.4B3.10B2.4B52.4B3.
10B2.4B52.4B3.10B2.4B$16.4B21.2A2.A2BA5B2.2B33.4B2.10B3.B55.4B2.10B3.
B55.4B2.10B3.B$17.4B25.2A9B2.B32.4B.10B60.4B.10B60.4B.10B$18.4B25.12B
2A30.17B58.17B58.17B$19.4B12.A10.13B2A29.19B56.19B56.19B$20.4B11.3A8.
12B.B29.20B55.20B55.20B$21.4B13.A8.10B31.22B53.22B53.22B$22.4B11.2A8.
9B33.22B5.A47.22B5.A47.22B5.A$23.4B10.6B4.8B34.22B3.3A47.22B3.3A47.
22B3.3A$24.4B11.7B.9B35.20B2.A52.20B2.A52.20B2.A$25.4B9.18B36.17B.BA
2.A52.17B.BA2.A52.17B.BA2.A$26.4B7.19B37.18B4A53.18B4A53.18B4A$27.4B
5.22B38.15B60.15B60.15B$28.30B39.4B2A5B2.B2A59.4B2A5B2.B2A59.4B2A5B2.
B2A$29.B2D26B37.5B.2A.4B4.A57.5B.2A.4B4.A57.5B.2A.4B4.A$29.2D27B37.2A
8.2B5.A.2A54.2A8.2B5.A.2A54.2A8.2B5.A.2A$30.2D25B39.A7.2A2B.2A.A2.A
55.A7.2A2B.2A.A2.A55.A7.2A2B.2A.A2.A$31.D25B36.3A7.AB.A2B.A.2A54.3A7.
AB.A2B.A.2A54.3A7.AB.A2B.A.2A$33.26B34.A8.A.2AB2.A58.A8.A.2AB2.A58.A
8.A.2AB2.A$34.25B43.A5.A68.A5.A68.A5.A$35.21B2A2B43.6A.A67.6A.A67.6A.
A$36.20B2A2B45.A3.A.A68.A3.A.A68.A3.A.A$36.23B49.A2.A71.A2.A71.A2.A$
36.21B52.2A73.2A73.2A213.2D$36.19B5.2A264.2A145.2B2D$36.19B5.A265.A.A
143.2BDB$34.2A19B2.BA.A267.A2.2A138.4B15.A$33.A.A20B.B2A267.2A.A.A
137.4B14.3A$33.A4.20B266.5B.A136.B.4B14.A$32.2A5.3B2A15B264.4B3.2A
134.6B15.2A$42.2A14B265.6B137.5B13.5B$44.11B2.B2A263.6B136.6B10.6B$
49.6B2.BA.A260.9B2.3D119.A8.9B9.8B$49.5B6.A260.8B2.3BD119.3A5.9B6.12B
$49.B.B8.2A258.9B.3BD123.A4.9B4.14B$50.3B267.13B74.A48.2A5.25B$49.B2A
B268.11B4.A68.3A48.5B3.24B$50.2A269.10B3.3A67.A53.2B2A26B$322.8B3.A
70.2A51.3B2A26B$321.9B3.2A52.2A6.3D3.5B48.2B.32B$321.14B44.2A5.B2AB4.
3BD3.3B11.2A36.2A33B$257.A63.12B47.A5.3B4.3BD3.10B5.A37.2AB.28B$255.
3A62.14B46.A.AB3.3B2.19B.BA.A38.B2.27B$254.A62.17B47.2AB.26B.B2A43.
28B$244.2A8.2A60.18B.2B46.30B43.30B$243.B2AB5.4B8.2A50.20B2A45.30B43.
2A4.24B.3B$243.3B5.3B10.A50.19B.B2A45.29B45.A4.29B$244.B.B3.5B11.A47.
18B4.B47.30B40.3A5.29B$242.6B2.5B7.5A46.19B52.30B40.A6.31B$242.15B4.B
A4.2A43.21B3.2B51.25B46.33B$241.18B.5B2A2.A41.22B2.4B50.26B44.34B$
241.24B.A.2A41.29B49.27B.B40.4B.30B$241.23B2.A46.27B48.30BA38.4B2.30B
$242.21B2.2A46.27B48.29BA.A36.4B3.30B$242.21B52.23B.B2A45.27B3.BA36.
4B3.30B$243.20B52.22B2.BA.A44.26B41.4B4.25B.2B$241.2AB.17B53.21B6.A
43.25B42.4B4.25B2.4B$240.A.AB.15B54.21B7.2A43.23B42.4B6.23B5.2A.A$
240.A5.5BDBD5B56.19B53.6B.B.14B41.4B7.8B.13B6.2AB3A$239.2A7.3B2D6B57.
18B56.2B4.12B42.4B11.2B4.13B7.B4.A$249.3BD6B57.3B2A13B63.12B.B38.4B
19.12B6.2A.3A$250.9B55.2AB.B2AB3.9B66.10B2A36.4B23.9B7.A.A$31.B217.9B
55.A.AB7.9B66.9B.B2A35.4B23.9B8.A.A$6.C23.2B49.C74.C74.C17.8B49.C6.A
10.8B49.C17.8B3.B35.4B6.C17.8B10.A38.C74.C74.C74.C$5.2BC21.3B48.2BC
72.2BC72.2BC15.9B48.2BC4.2A9.9B48.2BC15.9B38.4B6.2BC15.9B48.2BC72.2BC
72.2BC72.2BC$5.3CB19.4B48.3CB71.3CB71.3CB15.7B49.3CB15.7B49.3CB15.7B
38.4B7.3CB15.7B49.3CB71.3CB71.3CB71.3CB$6.4B10.A6.4B50.4B23.2A46.4B
71.4B13.2B2A4B50.4B13.2B2A4B50.4B13.2B2A4B37.4B9.4B13.2B2A4B50.4B27.A
43.4B27.A43.4B27.A43.4B25.A$7.4B7.3A5.4B52.4B22.A3.2A43.4B38.2A31.4B
12.BA2BA3B51.4B12.BA2BA3B51.4B12.BA2BA3B36.4B11.4B12.BA2BA3B51.4B25.A
.A43.4B25.A.A43.4B25.A.A43.4B23.A.A$8.4B5.A7.4B54.4B17.2A4.A2.A44.4B
37.A3.2A28.4B11.2B2A4B.B50.4B11.2B2A4B.B50.4B11.2B2A4B.B33.4B13.4B11.
2B2A4B.B50.4B25.A45.4B25.A45.4B25.A45.4B23.A$9.4B4.2A5.4B56.4B11.2A2.
B2AB2.4A46.4B32.2A4.A2.A29.4B11.11B49.4B11.11B49.4B11.11B30.4B15.4B
11.11B49.4B71.4B71.4B71.4B$10.9B4.4B58.4B4.A.2A.A.A2.3B2.B51.4B26.2A
2.B2AB2.4A31.4B11.12B4.B43.4B11.12B4.B43.4B11.12B4.B22.BD2B17.4B11.
12B4.B43.4B18.A2.5A45.4B21.5A45.4B21.5A45.4B19.5A10.2A$11.6B5.4B60.4B
3.2A.A.A5.B.2B.2A50.4B19.A.2A.A.A2.3B2.B36.4B9.15B.B2A43.4B9.15B.B2A
43.4B9.15B.B2A20.2D2B19.4B9.15B.B2A43.4B15.3A2.A4.A45.4B20.A4.A45.4B
20.A4.A45.4B17.A4.A9.A.A$11.8B2.D3B62.4B6.2AB2.7BA.A50.4B18.2A.A.A5.B
.2B.2A35.4B8.17B2A44.4B8.17B2A44.4B8.17B2A21.2D21.4B8.17B2A44.4B13.A
7.BAB.A45.4B21.BAB.A45.4B21.BAB.A45.4B15.A.BAB6.2A2.A$9.12B2DB64.4B5.
2B2.8B.2A51.4B4.A16.2AB2.7BA.A35.4B6.17B.B46.4B6.17B.B46.4B6.17B.B46.
4B6.17B.B46.4B12.2A6.B2A.A37.2A7.4B20.B2A.A46.4B20.B2A.A46.4B11.A2.A.
2AB6.A2.A.2A6.2A$9.11BDBD66.4B5.11B55.4B3.3A14.2B2.8B.2A36.4B5.15B51.
4B5.15B51.4B5.15B51.4B5.15B51.4B9.4B4.A4B.A.2A33.A2.A7.4B17.A4B.A.2A
44.4B17.A4B.A.2A44.4B9.A.A.A.4BA6.2A.A.A3.A2.A$9.13B68.4B3.10B58.4B5.
A14.11B40.4B3.10B2.4B52.4B3.10B2.4B52.4B3.10B2.4B52.4B3.10B2.4B52.4B
7.3B5.ABAB3.A.2A34.2A9.4B15.ABAB3.A.2A38.2A5.4B15.ABAB3.A.2A45.4B9.A
2.A3.BABA6.B.BAB3.3A$7.2AB.10B70.4B.11B59.4B3.2A.7B4.11B43.4B2.10B3.B
55.4B2.10B3.B55.4B2.10B3.B55.4B2.10B3.B55.5B4.4B5.A2BA2.2A39.3A7.5B
13.A2BA2.2A41.2A6.5B13.A2BA2.2A49.4B11.2A2.A2BA5.5B$6.A.AB3.B2A3B73.
15B60.4B2.25B44.4B.10B60.4B.10B60.4B.10B60.4B.10B60.11B4.3B2A4.A37.2A
2.A8.8B7.3B2A4.A50.8B7.3B2A4.A50.4B15.2A2B.7B4.B.B3A$6.A6.B2A3B74.16B
3.2D54.4B3.2B.20B43.17B58.17B58.17B58.17B48.B2.2B6.12B.5B6.A.A34.A.A.
B7.2D8B2.2B.5B6.A.A34.2A.4A7.8B2.2B.5B6.A.A49.4B16.12B.3B.A2.A$5.2A6.
4B77.8B2A6B.2B2D54.4B.26B3.2D35.19B56.19B56.19B56.19B46.10B2.18B5.2A.
3A28.2A.A.A3B5.3B2D17B5.2A.3A31.A.A.A2.A4.B2.18B5.2A.3A48.4B15.18B.2A
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52.20B2.A52.20B2.A52.20B2.A35.26BA2BA11B37.A3.19BA2BA11B41.19BA2BA11B
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15B60.15B60.15B60.15B38.2B.17B3.16B44.12B3.16B36.A7.3BD8B3.16B64.31B$
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$103.2A.A4.A57.18B7.A.A.ABABA42.5B.2A.4B4.A57.5B.2A.4B4.A57.5B.2A.4B
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2AB12.12B67.30B.A$107.A60.10BABA7B.BA6.A.A43.3A7.AB.A2B.A.2A54.3A7.AB
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7.4B71.4B62.A.2A.A2.28B$169.17B67.6A.A67.6A.A67.6A.A67.6A.A42.2A4.8B
7.2A.3B59.2A.3A4.2A.3B69.2A.3B64.A7.27B$168.17B70.A3.A.A68.A3.A.A68.A
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73.2A40.A20.3A4.A61.A5.3A4.A67.3A4.A65.A.ABA30B.2B$163.A4.B6.3B5.2A
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73.2A73.2A68.B8.26B$769.2A8.25B$769.A10.24B$770.A9.6B.16B$769.2A12.2B
2.7B2A7B$786.8B2A7B$785.4B5.9B$784.4B5.9B$783.4B6.9B$782.4B8.8B$478.A
302.4B10.7B$477.A.A300.4B13.6B2.2A$474.BA2.A.A298.4B16.B2ABA2.A$457.B
13.B.BA.2A2.3A295.4B17.2BAB3A$457.2B11.2A2BAB2.2A3.A293.4B18.2BA$457.
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70.D3B386.4B11.4B64.2A6.3B17.A200.4B$71.D3B386.4B11.3B10.2A52.2A6.5B.
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8B3.BA.A53.4A4.7BD6B3.2A199.4B$74.4B386.6B2.11B3.B2A53.A3.AB2.20B198.
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4B383.4B3D16B50.A.A.A.A25B196.4B$78.4B210.3D169.4BD18B50.A.A.2A26B
195.4B$79.4B209.D3B169.4BD17B51.A.A.23B.B196.4B$80.4B209.D3B168.22B
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4B5.7B59.13B2AB2A57.4B6.13B2.2A4.A.A38.7B3.A14B2.B4.2A.3A14.D3B5.A.A.
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2AB3A16.4B5.4B13.10B4.A60.4B5.15B51.4B5.15B$7.6B2.4B3.8B7.A52.4B3.8B
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21B2A.A42.28B24.4B.8B.2B.4B3.10B.B2A63.4B2.10B3.B55.4B2.10B3.B$6.3BA
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.B34.BA2B3.32B2A22.34B59.22B5.A47.22B5.A$11.24B57.20B47.A2.4A4BA4B3.
2A60.9BD23B2A34.2B5.31B2A17.A6.32B59.22B3.3A47.22B3.3A$11.25B56.20B
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15.9B2A10B58.5B2A11B50.A.A9.3A65.32B25.B.2B2.5B.35B22.A2.AB2.B.12B.
15B63.18B4A53.18B4A$20.4B2A11B57.5B2A12B48.2A.A.A9.A64.31B26.48B21.A.
2A.AB2A7B3.2B3.2B2.12B64.15B60.15B$20.17B58.19B51.2A74.31B23.B.50B20.
A2.A.A.2AB.2B5.4B8.3B5.2A65.4B2A5B2.B2A59.4B2A5B2.B2A$21.16B59.18B
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22.14B61.17B127.31B22.2AB.12B2A11B.13B.B.6B19.3A4.A.2A10.2A7.2A.B.2A
4.3A61.2A8.2B5.A.2A54.2A8.2B5.A.2A$22.14B61.18B126.6B.B.13B.B.6B23.B
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2B.2A.A2.A$21.11B66.16B130.2B4.5B2A6B4.2B33.20B3.4B2A2.3B34.2A2.A18.
3A5.3A64.3A7.AB.A2B.A.2A54.3A7.AB.A2B.A.2A$22.10B67.16B136.4B2A2.3B
41.6B2.11B2.7B43.2A17.A9.A64.A8.A.2AB2.A58.A8.A.2AB2.A$23.9B68.15B.BA
132.7B49.2B5.7B4.5B148.A5.A68.A5.A$25.7B68.16BA.A131.5B57.6B6.4B150.
6A.A67.6A.A$29.3B2A67.13B.2BA132.4B56.2AB11.2B2AB151.A3.A.A68.A3.A.A$
31.A2BA2.2A63.11B3.B133.2B2AB54.A.AB13.2A155.A2.A71.A2.A$31.ABAB3.A
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3B$34.2A.A59.3AB2AB.5B$34.A.2A58.A4.B6.2A$97.3A.2A5.A$99.A.A7.3A$99.A
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13B.8B54.4B4.ABA4B4.A$11.23B54.4B.3BA2B4.BA.A$10.19B2.4B46.A7.8B4.B.B
2A$9.21B2.4B44.A.A7.8B2.4B$8.2A20B3.2BDB42.A2.A6.15B$8.2A19B5.2B2D41.
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$10.17B65.10B$9.17B67.7B$7.A.2AB.14B64.9B$5.3AB2AB5.B2.B2.B2AB60.2A2.
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168.6B5.A$167.3B2AB6.2A$165.5B2A2B3.4B$165.9B2.3B$162.B.9B2.5B$161.2A
11B.7B3.2B$161.2A26B$162.28B$162.29B.B$164.29BA$162.30BA.A$162.2AB2.
22B3.BA$163.A4.19B$160.3A3.2AB.16B$160.A4.A.AB.15B$165.A5.13B$164.2A
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5.3CB71.3CB71.3CB15.7B$6.4B10.A60.4B17.2A.2A49.4B13.2B2A4B$7.4B7.3A
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9.4B4.2A65.4B9.A.A.2A3.2A.A.A47.4B11.11B$2.2A6.9B66.4B7.A2.B2.BA.AB2.
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2.2B2.2B57.4B9.3B.B.3B53.4B8.17B2A$4.A2.A4.19BD56.4B6.3AB.3B.B3A52.4B
6.17B.B$5.2AB3.20BDBD55.4B4.A.BA3BA3BAB.A52.4B5.15B$6.14B2A9B3DB55.4B
3.2A3.BABAB3.2A53.4B3.10B2.4B$7.13B2A11BD57.4B7.BABAB59.4B2.10B3.B$8.
24B60.4B6.2BA2B.B58.4B.10B$8.17B.B.2B63.4B6.B.B.5B3.2B2.2B45.17B$9.
15B4.3B63.4B2.22BD42.19B$9.15B5.A2B.2A60.27BDBD39.20B$10.13B5.A.A2B.A
61.15B2A9B3DB37.22B$12.13B2.A.AB2.A63.14B2A11BD39.22B$11.8B4.2A.A.A3.
A65.25B41.22B$11.6B6.2ABA2.4A.A64.9B2.B2.3B.B48.20B2.2A$11.5B8.B2.A.A
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2A$12.2A11.A72.3BA2BA2B.BA.A.3A54.5B.2A.4B4.A.2A.A$97.2A3BABAB5.A.A
56.2A8.2B5.A$93.2A.A.AB.2BA4B3.2A58.A7.2A2B.2A.A$94.A.A.2B6.2A60.3A7.
AB.A2B.A.2A$93.A2.2AB7.A61.A8.A.2AB2.A$94.2A2.B8.3A67.A5.A$96.2A11.A
68.6A.A$96.A83.A3.A.A$97.A85.A2.A$96.2A86.2A38$9.5B$9.5B$6.C2.5B$5.2B
C.5B$5.3C6B$6.8B7.2A$7.7B6.B2AB$8.6B6.3B$9.2BD2B7.B8.2A$9.B3DB5.7B4.A
.A.2A$9.BDB2DB4.7B6.A.A$9.2B3D2B2.9B3.B2A.A$9.2B2D14B3.BAB.2A$7.B.18B
3.2B2A2.A$5.22B.B.2B.A.A$5.27B.A.2A$4.2A26B2A.A2.A$4.2A28B.A.2A$5.B.
25B3.A$A6.25B2.2A$3A4.24B$3.A3.24B$2.2A4.25B2.2A$2.13B.6B2A2B.3B2ABA
2.A$4.10B2.5BABA2B3.ABAB3A$3.5B2A3B4.5BA2B4.A.A$2.6BABA6.6B4.3A.5A$2.
7BAB7.3B5.A3.A4.A$4.B.4B8.4B4.2A2.A.A$7.2B8.A.2B10.2A$5.4B7.A.A.B2A$
5.2A9.2A2.BA.A$6.A16.A$3.3A17.2A$3.A17$101.2A$101.A.A$104.A2.2A$99.4A
.A3.A$98.A2.A.A.3A$98.2A2.BA.A$102.BABAB3A$102.2B2A.A2.A$101.6B2.A.A$
100.4B6.A.A.2A$99.6B7.A.A$99.6B6.2A.A$93.2B3.8B4.3B.A.2A$91.4B2.11B2.
B4A2.A$89.21B.AB2.2A$88.3D21B3A$88.D23B2.A$88.3D21B2.A.A$90.21B4.2A$
92.19B$92.19B$93.18B$93.18B$94.16B$95.4B.9B$94.4B.9B$6.C74.C11.B2A2B.
8B$5.2BC72.2BC11.2A2.9B$5.3CB71.3CB15.7B$6.4B71.4B13.2B2A4B$7.4B71.4B
12.BA2BA3B$8.4B71.4B11.2B2A4B.B$9.4B71.4B11.11B$10.4B71.4B11.12B4.B$
11.4B71.4B9.15B.B2A$12.B3D3.B67.4B8.17B2A$13.DBDB.B2A67.4B6.17B.B$12.
BDBD3B2A68.4B5.15B$12.6B.B70.4B3.10B2.4B$8.2A.4B76.4B2.10B3.B$8.A2.AB
2A77.4B.10B$9.3ABA77.17B$13.A76.19B$9.3A.3A73.20B$8.A2.2A3.A71.22B$8.
2A4.2A73.22B5.A$10.4A75.22B3.3A$10.A2.A77.20B2.A$92.17B.BA2.A$93.18B
4A$96.15B$97.4B2A5B2.B2A$95.5B.2A.4B4.A$95.2A8.2B5.A.2A$96.A7.2A2B.2A
.A2.A$93.3A7.AB.A2B.A.2A$93.A8.A.2AB2.A$102.A5.A$103.6A.A$105.A3.A.A$
108.A2.A$109.2A21$29.A$27.3A$26.A$26.2A$23.5B6.2A$22.4B7.A.A$22.5B6.A
$17.DB2.7B4.2A$16.2D10B.2B$15.2D15B2A$14.3D14BA.A$15.2D14B.A$16.2D12B
3.3A$17.DB2.8B6.A$20.10B$19.12B3.B$20.12B.B2A$21.13B2A$24.9B.B$6.C17.
8B$5.2BC15.9B$5.3CB15.7B$6.4B13.2B2A4B$7.4B12.BA2BA3B$8.4B11.2B2A4B.B
$9.4B11.11B$10.4B11.12B4.B$11.4B9.15B.B2A$12.4B8.17B2A$13.4B6.17B.B$
14.4B5.15B$15.4B3.10B2.4B$16.4B2.10B3.B$17.4B.10B$16.17B$15.19B$14.
20B$13.22B$14.22B5.A$14.22B3.3A$16.20B2.A$17.17B.BA2.A$18.18B4A$21.
15B$22.4B2A5B2.B2A$20.5B.2A.4B4.A$20.2A8.2B5.A.2A$21.A7.2A2B.2A.A2.A$
18.3A7.AB.A2B.A.2A$18.A8.A.2AB2.A$27.A5.A$28.6A.A$30.A3.A.A$33.A2.A$
34.2A20$27.B$25.5B$23.2A5B2A$22.B2A5B2AB$22.11B$22.11B$18.B3.11B2.2B$
16.4B2.17B$15.24BDB$15.23B3DB$15.25BD$13.2AB.22B$12.A.AB2.19B$12.A5.
18B$11.2A6.16B$20.16B$22.15B$20.18B$20.2A3.9B.3BD$21.A2.9B3.3BD$6.C
11.3A3.8B5.3DB40.C$5.2BC10.A4.9B6.4B38.2BC$5.3CB15.7B8.4B37.3CB$6.4B
13.2B2A4B9.4B37.4B25.2A.A$7.4B12.BA2BA3B10.4B37.4B20.2A.A2.2A$8.4B11.
2B2A4B.B9.4B37.4B19.A3.A$9.4B11.11B8.4B37.4B20.2A.2A.A$10.4B11.12B7.
4B37.4B11.2A2.4A.A.A.2A$11.4B9.14B7.4B37.4B10.A2.A.A2.3B$12.4B8.14B8.
4B37.4B10.A.A.3B.B$13.4B6.14B10.4B37.4B10.A.A6B3.2A$14.4B5.16B9.3B38.
4B10.AB.2B2AB3.A$15.4B3.10B5.2A10.2B39.4B12.2B2A6.A$16.4B2.10B5.A12.B
40.4B10.5B2.5A$17.4B.10B6.3A51.4B9.7BA$16.17B7.A52.4B7.7B4.2A$15.19B
60.4B6.7B4.A$14.20B61.4B5.6B2.BA.A$13.22B61.4B4.7B.B2A$14.22B5.A55.4B
3.9B6.A$14.22B3.3A56.4B.10B4.3A$16.20B2.A59.15B3.A$17.17B.BA2.A55.2B.
17B.2A$18.18B4A54.2A22B$21.15B58.2AB.18B$22.4B2A5B2.B2A57.B.20B$20.5B
.2A.4B4.A60.18B.B$20.2A8.2B5.A.2A58.20B$21.A7.2A2B.2A.A2.A58.20B$18.
3A7.AB.A2B.A.2A61.18B$18.A8.A.2AB2.A66.5B2A10B$27.A5.A67.5B2A10B$28.
6A.A66.15B2.B2A$30.A3.A.A66.17B2A3B$33.A2.A67.20B2A$34.2A68.20B2A$
105.17B.2B$106.15B$107.14B$107.13B$108.10B$108.10B$109.8B$109.8B$108.
8B$107.D8B$107.3D6B$108.D6B$110.3B27$6.C74.C$5.2BC72.2BC$5.3CB71.3CB$
6.4B11.2A58.4B11.A$7.4B9.B2AB58.4B4.A5.3A$8.4B8.3B60.4B3.3A6.A$9.4B8.
B8.2A52.4B5.A4.2A.2B.D$10.4B5.7B4.A.A.2A49.4B3.2A4.6B2D$11.4B4.7B6.A.
A51.4B2.4B4.6BD$12.4B2.9B3.B2A.A52.4B3.2B2.7B2D$13.14B3.BAB.2A52.18B$
14.13B3.2B2A2.A52.17B$12.15B.B.2B.A.A54.17B$10.2B2D18B.A.2A54.16B$9.B
DBD19B2A.A2.A53.17B$10.2D22B.A.2A54.17B$11.21B3.A55.20B$12.20B2.2A54.
10B2A9B$12.19B59.10B2A7B.B2A$14.17B59.17B3.BA.A$16.17B2.2A51.2AB.16B
5.A$16.6B2A2B.3B2ABA2.A50.A.AB3.13B6.2A$16.5BABA2B3.ABAB3A51.A4.14B$
17.5BA2B4.A.A54.2A4.2A4.8B$17.6B4.3A.5A57.A4.9B$18.3B5.A3.A4.A54.3A6.
8B$18.4B4.2A2.A.A57.A11.3B.B2A$17.A.2B10.2A67.5B.BA.A$16.A.A.B2A77.2A
7.A$16.2A2.BA.A77.A7.2A$23.A74.3A$23.2A73.A!
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User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Small Four-Digit Prime Period Guns

Post by confocaloid »

Here is a p2153 glider gun that will not break any record, but shows some possibilities. The 429-tick rephasable loop is fairly compact. However, having to solve tasks "delete the old glider" and "insert the new glider" separately significantly increases the bounding box.

Code: Select all

#C [[ MAXGRIDSIZE 9 THEME Catagolue KILLGLIDERS ]]
x = 151, y = 116, rule = B3/S23
46b2o2bo$45bob4o$45bo$43b2ob7o$41bo2bobo6bo$41b2o3bob2o2b2o$45b2ob2o7b
2o$58bo55bo$56bo56bobo$56b5o52bobo$47b2o11bo51b2ob3o$47b2o5b4o60bo$54b
o2bo54b2ob3o$112b2obo$61b2o$56b2obo2bo$56b2ob2o2$98b2o$94b2obobo$95bob
o$45b2o48bob2o$46bo45b2obo$43b3o46bo2b4o$43bo49b2o3bo$95b3o33b2o$95bo
35b2o$93bobo$93b2o$137b2o$137b2o$133b2o$117bo15b2o$52bo62bobo10bo$50b
3o27bo9bo24b3o10bo$34bo14bo30b3o5b3o24bo$34b3o12b2o32bo3bo50b2o$37bo
44b2o3b2o15b2o32b2o$36b2o62b2o2b2o$99bobo$99bo$37b2o58b3o$37b2o17b2o
38bo$56b2o38bob2o14bo$20b2o72bobob2o13bobo2b2o$20bo73b2o16bobo2bobo$
21bo90bo2b2o$20b2o70bo20bobo$5b2o12bo71bobo18b2obo2bo$5b2o12b3o31b2o
36b2o22bobobo$b2o19bo30bo9bo2bo6b2o37b4o2bo$2bo18b2o7bo23b3o6b4o5bobo
37bo3b2o$bo9bo17bobo2b2o20bo4b2o4b2o3bo41bo$b2o7bobo15bobo2bobo14b2o8b
o3b2o2bo2b2o40b2ob2o$3bo6bobo15bo2b2o17bo10b3ob3o19b2o27b2o$b2o2bo5bo
10b2o5bobo19b3o9bo23bobo23b2o$o2b2obo15b2o4b2obo2bo18bo9bob3o20b2o23bo
10b2o$3o2bo25bobobo26b2obo2bo45bo9b2o7b2o$3b2o23b4o2bo32b2o16b2o26b2o
18bo$2o22b2o2bo3b2o52bo44bobo$bob2o14b2obo2bo4bo25b2o25b3o45b2o$bo2bo
13bobob2o5b2ob2o22b2o25bo$2b2o14b2o2bo9b2o$22bobo4b2o$6b2o15b2o4bo10b
2o69b2o$7bo22bo9b2o7b2o8b2o50b2o$4b3o22b2o18bo2bo7bo$4bo42bobob2o4b3o$
47b2obo6bo$50bo$50b3o74bo$53bo72bobo$27b2o23b2o72bobo$27b2o98bo$128b3o
$130bo2$149b2o$43bo105bo$42bobo17b2o48b2o33bobo$42bobo10b2o5bobo41b2o
5bo33b2o$43bo11b2o7bo41bobob3o$44b3o17bobo41bobo$46bo18b2o9b2o30b2o$
51bo24b2o$50bobob2o$50bobobobo$47b2obobobobo2bo$47bo2bo2b2ob4o$49b2o4b
o6b2o$55bobo5bo$56b2o5bobo$53bo10b2o$51b3o$50bo94bo$50b2o92bobo$35b2o
107b2o$36bo$36bob2o70bo11b2o$37bo2bo68bobo10b2o$38b2o69b2o$53b2o$53b2o
31b2o$87bo$76b2o6b3o52b2o$76b2o2b2o2bo46b2o6bo$80bobobo47bo7b3o$61bo3b
2o15bob2o43b3o10bo$60bobo3bo15bo46bo$56b2obobo3bo15b2o$56b2obo4bo$60b
5obo$52b2obob2obo4bobo$52bob2obo2bob2o2bo$45b2o12b2obob2o$45b2o!
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User avatar
Vort
Posts: 249
Joined: May 14th, 2024, 6:35 am

Re: Small Four-Digit Prime Period Guns

Post by Vort »

Small change to previous design allowed to get max area below 20k:
gun_9241 before:

Code: Select all

x = 143, y = 146, rule = LifeHistory
29.3B$28.5B6.2A$27.6B6.A$10.2A14.7B8.A$10.A2.A8.2A.8B7.2A$12.2A8.A.9B
4.BAB2.2A$8.4A11.A.9B3.B4A2.A$8.A3.4A4.3A3.14B2.2A$10.A.A2.A4.A4.15B
2A$9.2A2B.B11.13B2.A$8.A2.A7B7.13B2.A.A$6.A2.ABA8B3.15B4.2A$6.2A.A.2A
8B.17B$9.A.B.21B2.4B$9.A.2A21B3.4B$8.2A.A.21B4.4B$11.A.B.19B5.4B$11.
2A2.18B7.4B$15.9B.7B9.4B$14.8B7.B12.4B$14.7B22.4B$13.11B20.4B$13.12B
20.4B$13.12B21.4B$14.11B22.4B$12.4B.8B23.4B$12.2A4.7B24.4B$13.A4.7B
25.4B$10.3A6.6B26.4B$10.A8.7B26.4B$19.8B26.4B$20.8B26.4B$20.9B26.4B$
19.3BA2B.4B26.4B$19.2B3A2B.4B26.4B$3.2A15.A2B2AB2.4B26.4B$4.A8.B4.8B
3.4B26.4B$4.A.2A3.4B.3BA5B5.4B26.4B$5.A2B.A2B2A12B5.4B26.4B$7.8B2AB2A
5B7.4B26.4B$7.A2BABA11B9.4B26.4B$8.2A4BA3BA2B13.4B26.4B$10.12B13.4B
26.4B$12.2BA7B14.4B26.4B$12.BA9B14.4B26.4B$13.AB.7B15.4B26.4B$13.11B
15.4B26.4B$12.11B17.4B26.4B$3.2A7.11B18.4B26.4B$2.A2.A2.2A2.11B19.4B
26.4B$3.2A2.A.A2.8B2.B2A18.4B26.4B$5.2A.B3.7B3.BA.A18.4B26.4B$5.A2.2B
2.7B6.A19.4B26.4B$2.2A.A.BA2B.6B7.2A19.4B26.4B$2.A.2A.A.A8B29.4B26.4B
$6.A.A.8B30.4B26.4B$3.2A2.A4.5B32.4B26.4B$.3A.2A4.6B33.4B26.4B$A4.B6.
6B33.4B26.4B$.3AB2AB3.7B34.4B26.4B$3.A.2AB.8B36.4B26.4B$7.10B37.4B26.
4B$7.6B2A3B37.4B26.3BA$7.6B2A2B5.2A32.4B26.ABAB$7.10B5.A34.4B26.2A2B$
6.11B2.BA.A35.4B26.4B$6.12B.B2A37.4B26.4B$5.15B40.4B26.4B$4.16B23.A
11.2A4.4B26.4B$.2B.16B22.A.A9.B2AB4.4B26.4B$2A18B10.A3.A3.2A2.A.A9.3B
6.4B26.4B$2AB.17B7.3A2.A.A2.A2.2A.2A9.B.B6.4B26.4B$.B.4B.8B2.4B5.A5.A
.A3.A.A2.B8.5B7.4B26.4B$8.7B4.7B.2A5.A.4A2.AB2A6.6B8.4B26.4B$9.6B5.9B
7.A3.A.A.2A4.8B9.4B26.4B$11.4B6.6B8.A2.BA.A2.13B11.4B26.4B$13.3BA5.5B
7.A.2BA.A5.13B10.4B26.4B$14.BA.A3.7B6.2A.2BA5.15B10.4B26.4B$15.A.A4.
6B10.3B4.15B11.4B26.4B$16.A5.7B10.2B.B.17B11.4B26.4B$17.3A2.8B2.29B
12.4B26.4B$19.A2.25B2A13B12.4B26.4B$22.25B2A14B12.4B26.4B$21.37B3.B2A
12.4B26.4B$21.36B4.A2.A12.4B26.4B$16.B4.20B2.2B2.B3.6B5.2A.A12.4B26.
4B$15.2AB.21B12.6B7.A13.4B26.4B$15.2A24B9.9B6.2A13.4B13.A12.4B13.2A$
16.B.23B9.2A4.4B21.4B10.3A13.4B13.A$19.15B2A7B8.A5.4B21.4B8.A17.4B10.
A5.2A$19.15B2A8B4.3A7.4B21.4B7.2A17.4B9.2A5.A$19.25B4.A10.4B21.4B3.5B
18.4B11.3B.A.2A$19.12B4.8B17.4B21.4B2.BAB21.4B7.2A2B2A.A2.A$18.11B6.
8B18.4B21.5B3AB7.2A12.4B5.B2A2B.A.2A$17.13B6.3B.4B18.4B21.3B5A8.A13.
4B5.4B.A$18.12B11.4B18.4B21.BA5BA2B3.B.A.2A11.4B3.4B.2A$19.10B13.4B
18.4B20.4BA2B2A2B.B3A2.A12.6BA3B8.2A$19.9B15.4B18.4B19.3BABAB3A2BAB2.
2A14.4BABA2B8.A.A$19.9B16.4B18.4B18.4BA2B2A3B4A17.4BA3B.B8.A$19.9B17.
4B18.4B15.2AB.5BAB3.2B.A18.11B3.B.BA.2A$22.5B19.4B18.4B13.A.AB.B4A2B
2.B3A19.12B.B2A.A.A$23.4B20.4B18.4B12.A5.3AB4.A22.14B2A.A.A$23.4B21.
4B18.4B10.2A5.BA2B5.5A17.8B2A5B2.A.2A$24.4B21.4B18.4B15.4B10.A15.2AB.
5BA2BA3B4A2.A$25.4B21.4B18.4B13.4B9.A16.A.AB.6B2A2B.BAB2.2A$26.4B21.
4B18.4B11.4B10.2A15.A5.7B6.2A$27.4B21.4B18.4B9.4B27.2A5.4B.2B7.A$28.
4B21.4B18.4B7.4B34.4B9.A$29.4B21.4B18.4B5.4B34.4B10.2A$30.4B21.4B18.
4B3.4B34.4B$31.4B21.4B18.4B.4B34.4B$32.4B21.4B18.7B34.4B$33.4B21.4B
18.5B34.4B$34.4B21.4B6.A10.5B33.4B$35.4B21.4B5.3A7.7B31.4B$36.4B21.4B
7.A5.4B.4B29.4B$37.4B21.4B5.2A4.4B3.4B27.4B$38.4B21.4B4.9B5.4B25.4B$
39.4B21.4B5.6B7.4B23.4B$40.4B21.4B2.8B8.4B21.4B$41.4B21.15B7.4B19.4B$
42.4B21.14B8.4B6.A10.4B$43.4B21.13B9.4B5.3A7.4B$44.4B21.10B.B2A8.4B7.
A5.4B$45.4B22.3B2AB3.BA.A8.4B5.2A4.4B$46.4B21.3B2AB6.A9.4B4.9B$47.4B
22.4B6.2A9.4B5.6B$48.4B21.3B19.4B2.8B$49.4B17.AB.2B21.15B$50.4B15.A.A
B2AB21.14B$51.4B14.A.ABABAB21.13B$52.4B10.2A.A.A.A.A2.A20.10B.B2A$53.
4B9.A2.A2.2A.4A21.2BA4B3.BA.A$54.4B10.2A4.A24.2BABA4B5.A$55.4B15.A.A
22.2BABA3B6.2A$56.4B15.2A24.BA4B$57.4B40.5B$58.4B40.3B$59.4B38.5B$60.
4B37.2AB2AB$61.4B32.2A2.BA.2A2.2A$62.4B31.A2.A.A3.B2.A$63.4B32.2A.7A$
64.3BA33.A$65.3BA32.A.4A$66.3AB32.2A2.A!
gun_9241 after:

Code: Select all

x = 133, y = 136, rule = LifeHistory
29.3B$28.5B6.2A$27.6B6.A$10.2A14.7B8.A$10.A2.A8.2A.8B7.2A$12.2A8.A.9B
4.BAB2.2A$8.4A11.A.9B3.B4A2.A$8.A3.4A4.3A3.14B2.2A$10.A.A2.A4.A4.15B
2A31.2A3.2A$9.2A2B.B11.13B2.A31.2A2.A.3A$8.A2.A7B7.13B2.A.A33.A4.A$6.
A2.ABA8B3.15B4.2A29.4A.2A2.A$6.2A.A.2A8B.17B34.A2.A.A.A.2A$9.A.B.21B
2.4B35.BABABA.A$9.A.2A21B3.4B35.B2ABA.A$8.2A.A.21B4.4B35.2B.BA$11.A.B
.19B5.4B33.3B$11.2A2.18B7.4B23.2A6.4B$15.9B.7B9.4B23.A6.B2A3B$14.8B7.
B12.4B22.A.AB3.B2A3B$14.7B22.4B22.2AB.10B$13.11B20.4B23.13B$13.12B20.
4B22.14B$13.12B21.4B21.15B13.A$14.11B22.4B22.8B2.4B10.3A$12.4B.8B23.
4B21.6B5.4B8.A$12.2A4.7B24.4B19.9B4.4B7.2A$13.A4.7B25.4B10.A6.4B4.2A
5.4B3.5B$10.3A6.6B26.4B7.3A5.4B5.A7.4B2.3B$10.A8.7B26.4B5.A7.4B7.3A5.
5B3AB7.2A.2A$19.8B26.4B4.2A5.4B10.A6.3BA3BA8.A.2A$20.8B26.9B4.4B19.BA
5BA2B3.B.A$20.9B26.6B5.4B20.A3BA3BA2B.B3A$19.6B.4B25.8B2.4B21.3BABA2B
A3BAB2.2A$19.7B.4B22.15B22.4BA3BA3B4A2.A$3.2A15.6B2.4B21.14B21.A2B.5B
AB3.2B.A.2A$4.A8.B4.8B3.4B20.13B21.A.2A.A3BA2B2.B3A2.A$4.A.AB3.4B.6B
2AB5.4B17.2AB.10B22.A5.3AB4.A5.A$5.2AB.13B2A2B5.4B15.A.AB3.B2A3B23.2A
5.4B5.5A$7.18B7.4B14.A6.B2A3B29.4B8.A$7.17B9.4B12.2A6.4B30.4B$8.13B
13.4B20.3B15.A13.4B$10.12B13.4B20.2B.BA12.3A10.4B$12.10B14.4B18.B2ABA
.A14.A8.4B$12.11B14.4B16.BABABA.A13.2A7.4B$13.2B.7B15.4B13.A2.A.A.A.
2A12.5B3.4B$13.4B2A5B15.4B12.4A.2A2.A15.3B2.4B$12.5BABA3B17.4B15.A4.A
2.2A.2A7.9B$3.2A7.7BA3B18.4B10.2A2.A.3A3.2A.A8.8B$2.A2.A2.2A2.5BABA3B
19.4B9.2A3.2A8.A.B3.10B$3.2A2.A.A2.4BA3B2.B2A18.4B23.3AB.2B2A7B$5.2A.
B3.4BABA3.BA.A18.4B20.2A2.BA3B2A7B$5.A2.2B2.4BA2B6.A19.4B18.A2.4A12B$
2.2A.A.BA2B.3BA2B7.2A19.4B17.2A.A.2B3.7B.B2A$2.A.2A.A.A8B29.4B17.A2.
3AB2.7B.BA.A$6.A.A.8B30.4B16.A5.A4.4B5.A$3.2A2.A4.5B32.4B16.5A5.4B5.
2A$.3A.2A4.6B33.4B17.A8.4B$A4.B6.6B33.4B26.4B$.3AB2AB3.7B34.4B26.4B$
3.A.2AB.8B36.4B26.4B$7.10B37.4B26.4B$7.6B2A3B37.4B26.4B$7.6B2A2B5.2A
32.4B26.4B$7.10B5.A34.4B26.4B$6.11B2.BA.A35.4B26.4B$6.12B.B2A37.4B26.
4B$5.15B40.4B26.4B$4.16B23.A11.2A4.4B26.4B$.2B.16B22.A.A9.B2AB4.4B26.
4B$2A18B10.A3.A3.2A2.A.A9.3B6.4B26.4B$2AB.17B7.3A2.A.A2.A2.2A.2A9.B.B
6.4B26.4B$.B.4B.8B2.4B5.A5.A.A3.A.A2.B8.5B7.4B26.4B$8.7B4.7B.2A5.A.4A
2.AB2A6.6B8.4B26.4B$9.6B5.9B7.A3.A.A.2A4.8B9.4B26.4B$11.4B6.6B8.A2.BA
.A2.13B11.4B26.4B$13.3BA5.5B7.A.2BA.A5.13B10.4B26.4B$14.BA.A3.7B6.2A.
2BA5.15B10.4B26.4B13.2A$15.A.A4.6B10.3B4.15B11.4B26.4B13.A$16.A5.7B
10.2B.B.17B11.4B26.4B10.A5.2A$17.3A2.8B2.29B12.4B26.4B9.2A5.A$19.A2.
25B2A13B12.4B26.4B11.3B.A.2A$22.25B2A14B12.4B26.4B7.2A2B2A.A2.A$21.
37B3.B2A12.4B26.4B5.B2A2B.A.2A$21.36B4.A2.A12.4B26.4B5.4B.A$16.B4.20B
2.2B2.B3.6B5.2A.A12.4B26.4B3.4B.2A$15.2AB.21B12.6B7.A13.4B13.A12.6BA
3B8.2A$15.2A24B9.9B6.2A13.4B10.3A13.4BABA2B8.A.A$16.B.23B9.2A4.4B21.
4B8.A17.4BA3B.B8.A$19.15B2A7B8.A5.4B21.4B7.2A17.11B3.B.BA.2A$19.15B2A
8B4.3A7.4B21.4B3.5B17.12B.B2A.A.A$19.25B4.A10.4B21.4B2.3B19.14B2A.A.A
$19.12B4.8B17.4B21.9B7.2A9.8B2A5B2.A.2A$18.11B6.8B18.4B21.8B8.A7.2AB.
5BA2BA3B4A2.A$17.13B6.3B.4B18.4B21.10B3.B.A.2A3.A.AB.6B2A2B.BAB2.2A$
18.12B11.4B18.4B20.7B2A2B.B3A2.A3.A5.7B6.2A$19.10B13.4B18.4B19.7B2A3B
AB2.2A3.2A5.4B.2B7.A$19.9B15.4B18.4B18.12B4A11.4B9.A$19.9B16.4B18.4B
15.2AB.7B3.2B.A10.4B10.2A$19.9B17.4B18.4B13.A.AB.7B2.B3A10.4B$22.5B
19.4B18.4B12.A5.4B4.A12.4B$23.4B20.4B18.4B10.2A5.4B5.5A6.4B$23.4B21.
4B18.4B15.4B10.A5.4B$24.4B21.4B18.4B13.4B9.A6.4B$25.4B21.4B18.4B11.4B
10.2A4.4B$26.4B21.4B18.4B9.4B16.4B$27.4B21.4B18.4B7.4B16.4B$28.4B21.
4B18.4B5.4B16.4B$29.4B21.4B18.4B3.4B16.4B$30.4B21.4B18.4B.4B16.4B$31.
4B21.4B18.7B16.4B$32.4B21.4B18.2BA2B5.A10.4B$33.4B21.4B6.A10.2A3B5.3A
7.4B$34.4B21.4B5.3A7.2B2A3B7.A5.4B$35.4B21.4B7.A5.4B.4B5.2A4.4B$36.4B
21.4B5.2A4.4B3.4B4.9B$37.4B21.4B4.9B5.4B5.6B$38.4B21.4B5.6B7.4B2.8B$
39.4B21.4B2.8B8.15B$40.4B21.15B7.14B$41.4B21.14B8.13B$42.4B21.13B9.
10B.B2A$43.4B21.10B.B2A8.2BA4B3.BA.A$44.4B22.3B2AB3.BA.A6.2BABA4B5.A$
45.4B21.3B2AB6.A6.2BABA3B6.2A$46.4B22.4B6.2A7.BA4B$47.4B21.3B16.5B$
48.4B17.AB.2B18.3B$49.4B15.A.AB2AB16.5B$50.4B14.A.ABABAB15.2AB2AB$51.
4B10.2A.A.A.A.A2.A9.2A2.BA.2A2.2A$52.4B9.A2.A2.2A.4A9.A2.A.A3.B2.A$
53.4B10.2A4.A15.2A.7A$54.3BA15.A.A15.A$55.3BA15.2A15.A.4A$56.3AB32.2A
2.A!

Code: Select all

"gun_19","22275"
"gun_3457","19832"
"gun_3433","19551"
"gun_3449","19551"
"gun_8731","19180"
"gun_8317","18894"
"gun_3529","18875"
"gun_4337","18768"
"gun_3271","18720"
"gun_3361","18720" 
New charts:
gun_coll_area_v27.png
gun_coll_area_v27.png (68.02 KiB) Viewed 12395 times
gun_coll_density_v12.png
gun_coll_density_v12.png (57.87 KiB) Viewed 12395 times
Here is raw density data in case someone wants to hunt specific dots:

Code: Select all

Period;Density;Area
1627;0.1732;15840
8423;0.1737;18626
1549;0.1744;16150
1601;0.1749;16512
8167;0.1763;18084
4217;0.1787;18221
7446;0.1788;7144
1693;0.1793;17688
4177;0.1803;17952
8231;0.1807;17550
1607;0.1811;17424
8311;0.1812;17550
2647;0.1816;18078
1553;0.1818;15624
5651;0.1824;17820
4129;0.1828;17550
7639;0.1832;16506
4001;0.1833;17290
1523;0.1838;14364
1663;0.1841;18450
1531;0.1843;14364
2591;0.1846;17550
1583;0.1846;16965
4057;0.1852;17157
4049;0.1861;17024
7879;0.1873;16506
1613;0.1875;16383
8287;0.1875;16764
2543;0.1879;17024
6080;0.1882;8051
2551;0.1882;17018
1559;0.1882;16512
8039;0.1883;16506
3881;0.1883;16510
1499;0.1884;13888
1453;0.1887;14418
7038;0.1891;6643
1597;0.1892;16128
5227;0.1893;16510
7951;0.1900;16250
1489;0.1902;14596
5323;0.1903;16510
1483;0.1904;13653
1098;0.1906;4355
8111;0.1910;16250
5171;0.1911;16254
3929;0.1913;16250
7607;0.1913;15616
8191;0.1915;16250
2503;0.1917;16500
1459;0.1920;13420
318;0.1923;3355
3833;0.1923;16000
5315;0.1926;16254
1429;0.1926;14000
3889;0.1931;15996
3761;0.1936;15748
7841;0.1939;16768
3793;0.1941;15748
8263;0.1943;15996
3499;0.1944;16750
3617;0.1946;15240
5059;0.1947;15748
1451;0.1947;13189
2447;0.1950;15996
7591;0.1950;15240
2438;0.1952;12769
5107;0.1952;15748
1511;0.1959;15624
1427;0.1963;12960
3491;0.1967;16492
2423;0.1968;15744
7927;0.1970;15494
5051;0.1971;15498
5623;0.1973;15494
5099;0.1976;15498
8087;0.1980;15494
5147;0.1981;15498
7759;0.1983;15246
1567;0.1986;16614
3769;0.1987;15246
2399;0.1987;15494
2293;0.1992;16500
4931;0.1993;14986
7919;0.1994;15246
3673;0.1997;15004
5179;0.2008;15246
1381;0.2009;13182
2383;0.2010;15240
7817;0.2010;16000
1433;0.2013;13509
3697;0.2014;14880
7877;0.2019;17346
1543;0.2026;16170
2351;0.2026;15000
3593;0.2028;14508
7823;0.2038;14756
1026;0.2039;3968
3467;0.2039;15730
1373;0.2041;12936
2221;0.2050;15738
2237;0.2055;15738
7789;0.2057;16936
1409;0.2057;13104
3634;0.2063;12312
5011;0.2068;14514
7717;0.2068;16820
294;0.2069;3016
2311;0.2070;14508
2197;0.2070;15488
4763;0.2075;8372
2213;0.2075;15488
1439;0.2084;14337
7793;0.2085;15250
3779;0.2086;15252
7873;0.2090;15250
2287;0.2091;14268
73;0.2094;6052
1333;0.2099;12388
9199;0.2105;16974
3739;0.2106;15006
7583;0.2109;16974
7621;0.2121;16272
3517;0.2121;16159
6222;0.2132;5695
7549;0.2133;16159
8317;0.2138;18894
7477;0.2146;16046
3469;0.2146;15933
7541;0.2147;16016
1361;0.2151;12312
8221;0.2154;18620
3691;0.2155;14520
2377;0.2157;14760
6733;0.2158;15707
8731;0.2158;19180
1272;0.2159;3904
3461;0.2161;15792
2393;0.2162;14760
1307;0.2164;11200
6653;0.2168;15594
9181;0.2169;15820
1391;0.2176;13509
2504;0.2179;8960
2239;0.2179;16200
8863;0.2182;16200
1301;0.2183;11766
5101;0.2183;14520
1283;0.2184;10989
954;0.2189;3599
1291;0.2191;10989
636;0.2199;3538
9173;0.2199;15568
1447;0.2200;14454
8053;0.2201;18078
7933;0.2205;17810
2621;0.2207;18078
8647;0.2208;15946
8069;0.2210;18078
1267;0.2212;10780
1321;0.2215;11775
2141;0.2215;15429
9241;0.2216;18088
3413;0.2218;15260
7673;0.2219;14040
9277;0.2219;15429
866;0.2221;6204
8467;0.2222;18358
3040;0.2223;5880
9257;0.2225;18088
5297;0.2225;17802
6679;0.2225;15694
1367;0.2225;13104
4957;0.2228;14960
8837;0.2228;15232
7237;0.2228;15290
6637;0.2228;15096
3373;0.2229;15180
6823;0.2230;15694
3389;0.2231;15151
8627;0.2231;18358
7853;0.2232;17544
1277;0.2234;11388
2207;0.2234;15694
8707;0.2236;18358
5903;0.2236;18632
9281;0.2238;18088
2557;0.2242;17544
9161;0.2242;17820
5233;0.2243;17536
7229;0.2243;15151
8951;0.2245;15694
5088;0.2245;4575
1259;0.2247;10573
1305;0.2248;5913
1423;0.2248;14040
139;0.2249;5184
6709;0.2250;14960
8527;0.2250;15576
8941;0.2250;15096
321;0.2251;5544
6599;0.2253;15444
8539;0.2253;18088
6397;0.2255;14763
4789;0.2256;14630
3943;0.2259;18496
2371;0.2261;17030
9157;0.2261;15070
8699;0.2262;18088
838;0.2264;5772
4733;0.2264;14520
5273;0.2266;17536
8779;0.2267;18088
5827;0.2267;18620
8291;0.2267;17820
1297;0.2267;11396
9887;0.2269;15694
9137;0.2269;17820
9209;0.2269;17820
7691;0.2270;16940
5281;0.2270;17536
6781;0.2271;14824
7669;0.2272;17018
5814;0.2273;5248
8839;0.2273;15444
2549;0.2274;17280
5743;0.2276;18090
1861;0.2278;15436
6469;0.2278;14630
8969;0.2279;17290
5791;0.2281;18090
9781;0.2281;15012
6701;0.2282;14715
2347;0.2282;16770
8933;0.2282;14850
9151;0.2282;15444
5209;0.2284;17272
5839;0.2285;18090
6389;0.2287;14520
909;0.2291;6142
8821;0.2292;14740
9049;0.2292;17554
9677;0.2295;14904
9001;0.2297;17290
1399;0.2298;13632
8363;0.2299;17554
8623;0.2301;15196
1237;0.2303;10872
3301;0.2303;14552
8443;0.2304;17554
1126;0.2306;7216
1289;0.2306;11169
8831;0.2307;15196
1913;0.2307;18340
5153;0.2307;17010
5783;0.2308;17822
818;0.2308;5103
8597;0.2310;14520
822;0.2311;5621
2339;0.2313;16512
9072;0.2313;6000
7741;0.2315;17018
3271;0.2315;18720
4283;0.2316;16899
5879;0.2317;17822
3677;0.2318;17272
4211;0.2320;16640
9041;0.2320;17290
2424;0.2321;5550
5081;0.2322;16750
5927;0.2322;17822
3709;0.2323;17272
1176;0.2323;3538
9227;0.2324;16422
4933;0.2325;14231
7603;0.2329;16422
4760;0.2329;7560
1319;0.2329;12312
8929;0.2330;17028
5813;0.2330;16899
5600;0.2331;8160
962;0.2333;5676
1010;0.2334;6006
9011;0.2335;16303
3407;0.2335;14934
3391;0.2335;14950
4877;0.2336;14124
5009;0.2336;16492
8719;0.2336;14950
3967;0.2337;18612
9029;0.2338;14472
4243;0.2340;16640
5113;0.2341;16750
3457;0.2342;19832
3637;0.2342;17010
4987;0.2342;16440
7140;0.2343;7980
1229;0.2344;10650
5741;0.2345;16640
2477;0.2345;16500
309;0.2347;5250
2069;0.2349;14310
5749;0.2350;16640
2143;0.2351;14706
3701;0.2352;17010
3863;0.2352;18340
3181;0.2353;14124
6373;0.2354;14040
8713;0.2355;16510
6719;0.2356;14706
3733;0.2356;17010
5077;0.2358;14040
9551;0.2358;14950
6791;0.2358;14706
802;0.2359;4960
8849;0.2359;16768
806;0.2359;5472
1187;0.2359;9765
4357;0.2360;14256
1213;0.2360;10508
9133;0.2360;14338
2437;0.2360;16244
882;0.2361;3248
2699;0.2362;16864
3229;0.2362;14070
6011;0.2363;16254
4973;0.2364;13965
4397;0.2365;14231
3433;0.2365;19551
3643;0.2365;15982
3359;0.2366;14706
473;0.2366;4818
1590;0.2367;4575
3253;0.2368;14040
8693;0.2368;14148
2251;0.2369;15750
3449;0.2369;19551
5021;0.2369;13936
5683;0.2369;17544
8737;0.2369;16510
9349;0.2370;14310
6271;0.2370;14478
4969;0.2371;16236
2731;0.2371;17290
5519;0.2371;17030
588;0.2373;3190
9929;0.2374;16244
5693;0.2374;16383
7537;0.2375;17375
3659;0.2375;15982
3823;0.2376;18070
8179;0.2376;16768
6829;0.2376;14070
4349;0.2376;14124
8581;0.2377;14040
2267;0.2379;15750
8753;0.2379;16510
5701;0.2379;16383
9127;0.2379;14706
3221;0.2379;13936
8747;0.2380;17028
1249;0.2380;10656
4813;0.2380;13780
4261;0.2381;14040
401;0.2382;4774
946;0.2382;5525
5807;0.2383;17160
7649;0.2384;17375
8761;0.2384;16510
449;0.2384;5016
5507;0.2385;17280
4993;0.2385;16236
4861;0.2387;13755
9341;0.2387;14175
3919;0.2389;18070
5563;0.2389;17280
8641;0.2390;16254
5711;0.2390;17030
8419;0.2390;16768
3109;0.2390;13780
1171;0.2391;9568
3557;0.2391;16492
6343;0.2391;14351
4909;0.2393;13728
5821;0.2393;16640
1789;0.2394;14388
4091;0.2394;15875
2707;0.2395;17028
5483;0.2396;14980
8011;0.2396;16510
3343;0.2397;14448
1212;0.2397;5106
4253;0.2398;13910
7499;0.2398;16456
4259;0.2398;16383
8599;0.2400;14464
131;0.2400;4758
2243;0.2402;15500
1205;0.2402;10290
1849;0.2403;17272
7529;0.2404;17112
605;0.2405;4845
6263;0.2405;14238
8537;0.2405;16000
5387;0.2405;17018
8171;0.2406;16510
9013;0.2406;13992
1331;0.2407;6794
8807;0.2407;14464
2029;0.2408;13860
4704;0.2409;4176
3847;0.2409;17802
5443;0.2410;17018
2389;0.2411;15738
4937;0.2411;15982
8573;0.2413;13803
3319;0.2413;14336
9833;0.2414;15990
8609;0.2414;16254
8681;0.2414;16254
2111;0.2414;14224
4373;0.2415;13832
3191;0.2416;17640
9221;0.2417;13936
6661;0.2417;13728
4157;0.2417;13696
9999;0.2418;7828
3911;0.2418;17802
5981;0.2419;16758
5939;0.2419;15748
8689;0.2419;16254
5669;0.2419;16128
4051;0.2420;15624
5573;0.2420;15875
2683;0.2421;16768
3571;0.2421;15480
5407;0.2421;16512
9203;0.2423;15660
7753;0.2423;17112
4219;0.2424;16128
6703;0.2424;14224
5581;0.2425;15875
2444;0.2426;7062
2021;0.2426;13728
3581;0.2427;16236
3037;0.2427;13440
6581;0.2428;13624
9109;0.2429;13832
5717;0.2430;16256
9839;0.2430;16851
3570;0.2431;7668
5503;0.2431;16512
4327;0.2432;14238
3613;0.2432;16236
5406;0.2432;4819
1163;0.2433;9373
6779;0.2433;15410
1997;0.2433;13650
5087;0.2434;16320
3061;0.2434;13416
8893;0.2435;13755
3361;0.2438;18720
8677;0.2438;13674
1323;0.2438;5795
7577;0.2439;16851
8521;0.2440;16000
8800;0.2441;5346
8243;0.2441;16254
3167;0.2441;17375
4889;0.2442;15730
4793;0.2443;15480
1364;0.2445;6557
7832;0.2445;6720
2753;0.2445;16125
5647;0.2445;16512
9007;0.2446;14224
2659;0.2446;16510
5039;0.2447;16184
2381;0.2447;15488
5351;0.2447;16256
4801;0.2448;15480
6421;0.2449;13416
2380;0.2449;6930
4229;0.2449;13520
8353;0.2452;15498
5399;0.2452;16256
3539;0.2453;15232
3541;0.2453;15982
6551;0.2454;13986
9091;0.2454;15410
5987;0.2455;15498
8669;0.2456;13545
3547;0.2458;15232
4721;0.2459;15232
5659;0.2459;16758
1327;0.2460;12444
5639;0.2460;16383
3767;0.2460;17272
7457;0.2460;16592
8563;0.2461;16254
1346;0.2461;6993
1973;0.2462;13416
8369;0.2462;15498
2341;0.2463;15240
2087;0.2463;13875
4729;0.2464;15232
1741;0.2464;13780
1949;0.2466;13335
3463;0.2466;16214
4093;0.2466;16128
8377;0.2467;15498
4133;0.2469;13312
1222;0.2470;6887
5653;0.2471;15875
5119;0.2471;17892
8513;0.2471;15748
2729;0.2472;15872
5591;0.2472;16256
5557;0.2472;15624
9923;0.2474;15410
2357;0.2474;15240
3323;0.2475;18176
6247;0.2476;13764
1933;0.2476;13230
4139;0.2476;15624
5867;0.2477;15250
1777;0.2477;14400
7681;0.2480;16592
5003;0.2480;16836
8867;0.2481;15180
4787;0.2481;15295
529;0.2481;5767
8999;0.2482;13986
5923;0.2482;15250
5477;0.2483;15375
2713;0.2483;15748
8273;0.2484;15250
7907;0.2484;15748
1217;0.2484;10080
3533;0.2484;15730
9103;0.2485;13986
419;0.2485;4556
2309;0.2485;14994
3727;0.2486;17010
9743;0.2487;16335
3313;0.2489;18176
4391;0.2489;13875
2203;0.2490;15048
1274;0.2490;7425
433;0.2492;4736
9187;0.2492;15162
1879;0.2493;16250
3329;0.2493;18176
3119;0.2494;16851
4003;0.2494;15128
4231;0.2498;13764
1190;0.2498;6745
5501;0.2499;15375
8147;0.2499;15748
197;0.2499;4745
8297;0.2500;15250
3989;0.2500;15750
3931;0.2500;14883
4271;0.2501;13764
2333;0.2501;14994
3299;0.2501;17907
8971;0.2501;15048
6763;0.2501;14916
7561;0.2501;16335
5419;0.2502;16244
1201;0.2503;9940
3623;0.2503;16750
4099;0.2503;15375
4021;0.2505;15750
5413;0.2505;15128
9811;0.2508;15162
2689;0.2511;15498
7901;0.2511;17375
5531;0.2512;16244
8783;0.2513;13750
5527;0.2513;15875
2063;0.2514;13516
8387;0.2515;15748
758;0.2515;5037
8887;0.2517;13750
3719;0.2518;16750
5310;0.2518;7161
1303;0.2518;12060
1452;0.2519;5025
4013;0.2520;15624
5431;0.2521;15750
8329;0.2521;15250
3917;0.2522;15500
1231;0.2522;11023
6579;0.2522;10744
754;0.2523;4543
3259;0.2523;17640
5479;0.2526;15750
8059;0.2527;15498
471;0.2527;4761
8209;0.2527;15004
9283;0.2530;14916
3583;0.2530;16492
6607;0.2530;13516
4653;0.2531;7104
5231;0.2533;15500
521;0.2534;5616
8089;0.2534;14760
1994;0.2536;9694
6311;0.2536;13407
193;0.2537;4608
386;0.2537;4608
8219;0.2537;15498
8963;0.2537;14803
5279;0.2538;15500
7703;0.2540;17375
2179;0.2540;14672
5471;0.2541;15624
1046;0.2541;6391
898;0.2541;5084
6827;0.2542;14672
6800;0.2542;6834
137;0.2542;4422
2579;0.2542;15621
1520;0.2542;4960
5851;0.2543;14760
8233;0.2543;15004
9803;0.2544;14916
4027;0.2544;15006
7321;0.2546;15827
7949;0.2547;17112
4691;0.2547;14803
1847;0.2548;15744
1142;0.2549;6532
1193;0.2549;9729
2018;0.2550;9590
7043;0.2550;14672
3877;0.2550;15252
3923;0.2550;14640
4999;0.2551;17097
2521;0.2552;14637
1275;0.2553;4838
8213;0.2553;10744
2657;0.2554;15125
2008;0.2554;6804
3251;0.2555;17375
3024;0.2555;4015
7433;0.2556;15827
3851;0.2556;14399
4350;0.2558;8424
4019;0.2559;14883
9067;0.2560;14672
7489;0.2561;15827
1172;0.2562;6674
5347;0.2563;15738
4651;0.2564;14690
4127;0.2565;13310
5437;0.2566;15006
1223;0.2567;10800
2039;0.2567;13176
5309;0.2567;14640
9967;0.2567;15827
5320;0.2567;8624
3607;0.2568;16236
8009;0.2568;14518
1198;0.2569;7000
2269;0.2569;15851
9479;0.2570;15576
7829;0.2570;16851
1220;0.2570;6408
742;0.2571;4896
8017;0.2573;14518
3257;0.2574;17375
1831;0.2576;15494
431;0.2576;5120
5843;0.2577;14518
878;0.2577;5530
8081;0.2577;14760
3671;0.2578;16236
2312;0.2579;6624
3803;0.2580;14160
7723;0.2580;16851
7393;0.2581;16244
4643;0.2582;14560
8161;0.2583;14760
2633;0.2583;14880
2539;0.2583;15250
7883;0.2583;15004
5333;0.2583;14640
2232;0.2583;6232
7369;0.2585;15576
5237;0.2585;14399
9719;0.2585;15576
1978;0.2586;9490
8663;0.2587;13284
5023;0.2588;16836
7963;0.2589;15004
1823;0.2592;15367
9311;0.2593;15327
5381;0.2594;14762
5167;0.2595;15006
7481;0.2595;15576
2617;0.2596;14760
9973;0.2596;16851
3217;0.2597;17112
9059;0.2597;14430
9391;0.2599;15327
7547;0.2599;16592
2531;0.2599;15125
8123;0.2599;15004
8447;0.2599;13176
4829;0.2600;6930
3947;0.2601;14520
403;0.2601;4290
801;0.2603;5236
7193;0.2603;15327
3023;0.2604;15827
7687;0.2605;16851
3187;0.2606;16851
3631;0.2606;15982
7993;0.2606;14518
4919;0.2607;16577
107;0.2607;4216
214;0.2607;4216
9371;0.2607;14430
1815;0.2607;4200
3797;0.2607;14762
7937;0.2608;14278
3400;0.2609;5829
2473;0.2610;14157
3203;0.2611;16851
4998;0.2611;4408
4951;0.2611;16577
2609;0.2612;14637
9907;0.2613;16335
6761;0.2613;16836
3079;0.2613;12947
9631;0.2614;15327
1117;0.2616;9112
6961;0.2617;15080
2011;0.2617;13340
7589;0.2617;16335
37;0.2618;2475
5189;0.2620;14160
5120;0.2621;3968
7417;0.2624;15327
9791;0.2625;15327
3527;0.2625;15730
2593;0.2625;14518
7027;0.2625;14190
5197;0.2626;14160
6659;0.2627;14080
5303;0.2627;14883
4159;0.2628;12960
1158;0.2628;6278
2027;0.2629;13340
2162;0.2629;9656
9871;0.2630;15327
3559;0.2630;15730
3209;0.2630;16851
3907;0.2631;14280
361;0.2632;4218
1714;0.2632;8778
7757;0.2632;16335
7129;0.2633;15080
2999;0.2634;15576
2441;0.2634;13920
3163;0.2634;16592
3853;0.2635;14640
5207;0.2635;14762
8861;0.2636;18358
1999;0.2637;12720
9739;0.2637;16080
1785;0.2638;6240
726;0.2638;4757
6367;0.2638;12826
1153;0.2638;9248
9463;0.2639;15080
1764;0.2639;5612
4500;0.2640;4466
5340;0.2640;6734
1406;0.2641;7811
4337;0.2641;18768
5869;0.2642;14994
722;0.2643;4275
4111;0.2644;12852
5244;0.2644;4928
1987;0.2645;13110
4943;0.2645;16320
2131;0.2645;13952
2560;0.2646;3968
7307;0.2647;16080
1734;0.2647;6298
1116;0.2647;6059
3821;0.2648;14520
9467;0.2648;14190
2296;0.2649;6279
7297;0.2649;15080
9623;0.2649;15080
1004;0.2650;6318
5779;0.2650;14040
4297;0.2650;18632
1434;0.2651;7469
2136;0.2651;4692
1114;0.2652;6745
4547;0.2653;14080
5456;0.2653;7395
7867;0.2653;14518
1014;0.2653;6075
6287;0.2654;12720
3169;0.2654;16592
6803;0.2656;13952
2003;0.2657;13110
999;0.2658;4661
1838;0.2659;9250
7559;0.2662;16335
222;0.2663;2107
4289;0.2663;18496
1552;0.2663;4757
79;0.2663;4160
337;0.2664;6014
674;0.2664;6014
1783;0.2664;14756
8543;0.2664;12826
1156;0.2665;6364
7349;0.2666;15827
1109;0.2667;8910
7121;0.2668;14835
786;0.2668;4760
4871;0.2670;16065
4507;0.2671;13970
5261;0.2671;14160
409;0.2671;4331
2467;0.2672;14518
1244;0.2672;7252
1083;0.2673;4104
1418;0.2673;7392
7177;0.2673;14835
4903;0.2675;16065
2660;0.2675;8036
9043;0.2676;13952
7243;0.2676;15827
7643;0.2677;16080
6833;0.2677;14592
7727;0.2677;16335
5861;0.2677;14750
9629;0.2678;16080
8431;0.2678;12720
4723;0.2679;15065
1154;0.2680;6441
3139;0.2680;10608
7517;0.2681;15827
7699;0.2682;16080
6571;0.2682;13734
4092;0.2682;6764
2022;0.2682;6499
1023;0.2682;6566
1148;0.2682;6006
411;0.2684;4356
4967;0.2685;16065
1700;0.2685;5427
4241;0.2685;18224
1979;0.2685;12882
790;0.2685;4800
7573;0.2686;15827
2153;0.2687;15812
6199;0.2687;12495
1093;0.2689;8778
2459;0.2689;14396
2360;0.2689;6348
4273;0.2689;18224
1118;0.2690;6510
1330;0.2691;7938
7411;0.2692;15827
2254;0.2692;5056
4508;0.2692;5056
9016;0.2692;5056
7001;0.2693;14592
4201;0.2694;18088
4799;0.2695;15812
3511;0.2695;15232
9817;0.2697;15827
1011;0.2697;6499
9949;0.2698;16080
874;0.2698;4095
7057;0.2699;14592
4831;0.2700;15812
629;0.2701;5994
3948;0.2701;7200
9643;0.2702;15576
7523;0.2702;15827
7207;0.2702;15827
2728;0.2703;6764
988;0.2705;6160
1123;0.2705;8976
5625;0.2707;7659
9568;0.2707;5394
8819;0.2707;13734
998;0.2709;5920
6689;0.2711;16065
1129;0.2711;8911
2053;0.2713;13563
3121;0.2714;16080
4280;0.2716;6816
6737;0.2716;16065
7109;0.2716;15327
9883;0.2717;15576
4153;0.2717;17816
2137;0.2718;15561
3930;0.2718;8094
8370;0.2718;6688
3137;0.2719;16080
1236;0.2720;6111
2099;0.2720;13482
996;0.2722;3876
6563;0.2722;13500
447;0.2723;4356
9649;0.2723;15576
5612;0.2725;12090
2927;0.2725;14835
4759;0.2725;15561
1180;0.2726;6072
1801;0.2727;11662
4512;0.2727;4514
4451;0.2727;13608
9996;0.2727;4712
7487;0.2728;15827
5428;0.2728;11765
8923;0.2731;13608
9767;0.2732;14592
7459;0.2732;15576
1697;0.2732;13065
9941;0.2733;15827
5790;0.2733;8100
837;0.2734;5670
1674;0.2734;5670
103;0.2735;3960
206;0.2735;3960
1450;0.2735;7242
6427;0.2736;15561
4073;0.2737;17544
7333;0.2737;15327
879;0.2738;6237
808;0.2739;4071
4400;0.2742;4698
1931;0.2744;12432
1340;0.2744;5208
9533;0.2744;15576
2456;0.2744;7178
3780;0.2745;6230
285;0.2746;4312
1140;0.2746;4312
2401;0.2747;7544
9439;0.2748;14351
635;0.2748;5640
8429;0.2748;17290
9613;0.2749;15576
891;0.2750;5568
2663;0.2750;17408
3510;0.2750;6552
2887;0.2751;14592
2411;0.2752;13920
7283;0.2753;15327
1178;0.2754;6555
2129;0.2754;15312
267;0.2754;4284
1068;0.2754;4284
2671;0.2754;17408
3067;0.2755;15576
2903;0.2756;14592
6359;0.2758;14577
2083;0.2758;13250
4171;0.2760;8092
1731;0.2760;6348
3083;0.2760;15576
1358;0.2761;7384
4751;0.2762;15312
963;0.2762;6231
6481;0.2763;15561
7213;0.2763;15080
6150;0.2763;5475
9679;0.2764;14351
7079;0.2764;15327
9721;0.2764;15327
1069;0.2764;8450
2248;0.2765;6264
551;0.2765;6408
4783;0.2767;15312
982;0.2767;5767
607;0.2768;5680
6529;0.2768;15561
730;0.2769;4352
7451;0.2769;15327
9547;0.2769;15080
2072;0.2773;5796
6577;0.2773;15561
6016;0.2773;4536
4603;0.2773;14336
1907;0.2774;12210
9440;0.2774;5544
7507;0.2774;15327
167;0.2774;5082
1166;0.2775;6461
873;0.2776;5796
7072;0.2776;6783
1124;0.2778;6048
619;0.2779;5520
7247;0.2780;15327
313;0.2781;5610
626;0.2781;5610
3089;0.2781;15576
5857;0.2782;17292
7282;0.2783;8528
7520;0.2783;4290
6673;0.2783;15561
2417;0.2783;13775
7219;0.2785;15080
9787;0.2785;15080
9431;0.2786;14112
9473;0.2786;15080
2113;0.2786;15065
4316;0.2787;7650
425;0.2788;3953
8501;0.2788;17028
4679;0.2789;15065
2879;0.2789;14351
8803;0.2790;13268
5953;0.2791;17292
9511;0.2791;14112
1867;0.2791;11990
3630;0.2792;4331
932;0.2792;5820
1091;0.2793;8580
1909;0.2793;11830
4002;0.2794;7614
3371;0.2795;18460
9847;0.2795;13983
611;0.2795;5460
333;0.2795;3717
6007;0.2796;14097
379;0.2796;3906
7331;0.2796;15080
939;0.2796;6097
2140;0.2797;6390
867;0.2798;6076
6180;0.2798;6862
2297;0.2799;17810
6473;0.2800;15312
5000;0.2802;7119
8741;0.2802;17028
1224;0.2803;2915
101;0.2803;3835
202;0.2803;3835
404;0.2803;3835
1993;0.2803;12192
3347;0.2804;18330
1036;0.2805;5544
6521;0.2805;15312
7268;0.2806;11872
1070;0.2806;6319
9990;0.2806;4686
6547;0.2806;13038
6977;0.2806;13875
9539;0.2807;14835
7127;0.2807;15080
547;0.2808;5214
3049;0.2808;15327
2281;0.2808;17680
1769;0.2810;11232
6569;0.2810;15312
6619;0.2810;13020
408;0.2812;2255
31;0.2812;14820
9619;0.2812;14835
6151;0.2813;14097
5801;0.2813;17030
9437;0.2813;15080
2089;0.2813;14820
927;0.2814;6030
1854;0.2814;6030
6691;0.2815;13000
1637;0.2815;9944
5849;0.2817;17030
1035;0.2818;3850
613;0.2818;5688
1414;0.2818;7125
9343;0.2819;13875
3019;0.2819;15080
942;0.2820;5256
1061;0.2820;8256
4344;0.2820;6720
3105;0.2820;5060
9315;0.2820;5060
956;0.2821;5850
2680;0.2821;5208
4639;0.2821;14820
5897;0.2822;17030
1426;0.2822;6969
1889;0.2823;14160
7211;0.2823;14835
2216;0.2823;6106
301;0.2824;3162
6806;0.2826;9516
6776;0.2826;8019
4817;0.2826;15312
599;0.2828;5530
7351;0.2828;15080
9859;0.2828;14835
3916;0.2828;8775
9200;0.2829;6643
3210;0.2829;6816
2394;0.2830;5915
3331;0.2831;18070
6300;0.2832;5760
4703;0.2832;14820
1182;0.2833;7904
1436;0.2833;7384
6857;0.2834;13640
1334;0.2835;6956
5715;0.2835;10716
833;0.2837;6790
1210;0.2837;3648
1108;0.2837;5893
1322;0.2837;7546
4649;0.2838;15065
4523;0.2840;13860
3307;0.2840;17940
6047;0.2841;13860
7040;0.2841;3456
3536;0.2842;6612
1425;0.2844;5440
1886;0.2844;8712
587;0.2845;5280
7253;0.2845;14592
493;0.2845;5037
1759;0.2846;13696
3041;0.2846;15080
1097;0.2848;8385
145;0.2849;4278
7309;0.2850;14592
2081;0.2852;14577
6143;0.2852;13860
439;0.2852;4200
7500;0.2854;7345
4635;0.2854;6570
6451;0.2854;14820
916;0.2855;5664
1306;0.2856;7469
9377;0.2857;14592
3011;0.2857;14835
3990;0.2858;7938
1621;0.2860;9744
1873;0.2861;13923
2170;0.2863;5840
4663;0.2865;14577
6361;0.2866;14820
987;0.2866;6138
233;0.2866;4920
466;0.2866;4920
699;0.2866;4920
2212;0.2866;6804
6203;0.2866;14577
1107;0.2867;4224
9851;0.2867;14592
6793;0.2869;13407
5641;0.2872;16512
1038;0.2872;6090
583;0.2872;5390
9931;0.2873;14592
9749;0.2873;14835
1081;0.2873;8255
1155;0.2874;4158
4483;0.2874;13625
3001;0.2874;14835
1111;0.2875;9248
2156;0.2876;6141
5689;0.2877;16512
3608;0.2877;6528
1702;0.2877;7470
6299;0.2877;14577
776;0.2878;3819
1951;0.2878;11880
9829;0.2878;14835
3750;0.2879;7260
9697;0.2879;14592
6971;0.2879;14351
1106;0.2881;6720
5200;0.2881;8424
5737;0.2882;16512
4673;0.2882;14820
1298;0.2883;4784
6229;0.2883;14820
4637;0.2883;14577
7050;0.2883;5810
811;0.2884;6664
2791;0.2884;13640
8237;0.2884;16254
1246;0.2885;6887
297;0.2885;4672
6600;0.2885;4263
2971;0.2886;14592
6553;0.2887;14820
571;0.2888;5160
6277;0.2888;14820
9857;0.2890;14592
7560;0.2890;7072
2800;0.2890;5840
9421;0.2891;14592
4591;0.2894;14336
6257;0.2894;14577
8400;0.2896;5840
5881;0.2896;16512
2317;0.2897;9387
4634;0.2897;9387
610;0.2899;4488
1768;0.2899;5757
6491;0.2899;14577
1216;0.2899;5984
612;0.2899;2597
3520;0.2900;3504
2020;0.2900;6106
3529;0.2901;18875
1811;0.2902;11342
850;0.2902;4556
3008;0.2902;3584
7013;0.2902;14112
6353;0.2905;14577
1197;0.2906;5120
2172;0.2906;6300
799;0.2907;6650
219;0.2907;3894
9661;0.2907;14592
7069;0.2907;14112
377;0.2909;3782
813;0.2909;6205
8389;0.2909;16128
38;0.2910;9831
329;0.2911;5472
1699;0.2912;10710
6991;0.2913;14351
817;0.2914;6555
6907;0.2914;14112
8262;0.2914;4420
915;0.2916;4356
6841;0.2916;13176
6449;0.2916;14577
1086;0.2917;6230
6173;0.2917;14577
4597;0.2917;14336
1901;0.2918;13161
6640;0.2918;8023
7452;0.2918;4266
9689;0.2919;14351
2767;0.2919;13407
2860;0.2921;6901
6221;0.2922;14577
4519;0.2923;14097
9901;0.2924;14592
843;0.2924;5760
8629;0.2924;16128
7103;0.2925;14351
9769;0.2925;14351
7019;0.2925;14112
6512;0.2926;6241
2963;0.2926;14351
1049;0.2927;7995
6079;0.2928;13392
6269;0.2928;14577
365;0.2928;3712
8461;0.2930;16002
7159;0.2930;14351
1125;0.2930;4402
9413;0.2931;14351
1062;0.2931;4340
598;0.2932;3752
1103;0.2932;9045
1181;0.2933;9009
4339;0.2933;13161
6317;0.2933;14577
229;0.2934;4779
458;0.2934;4779
687;0.2934;4779
1374;0.2934;4779
1021;0.2934;7812
4884;0.2934;6083
4583;0.2935;14097
198;0.2935;1840
9239;0.2935;13176
821;0.2935;6831
8293;0.2935;15876
1787;0.2935;11130
914;0.2935;5226
6091;0.2935;14097
1215;0.2936;3168
6949;0.2937;13875
1936;0.2940;4473
6859;0.2941;8600
3612;0.2941;5264
9319;0.2941;13176
151;0.2941;4828
1386;0.2941;3876
2957;0.2942;14592
559;0.2942;5180
7187;0.2942;14112
305;0.2943;3762
1721;0.2943;10602
6871;0.2943;14112
2953;0.2943;14351
935;0.2944;4080
1051;0.2945;8001
803;0.2945;6499
4230;0.2945;5796
8320;0.2945;7840
9288;0.2945;4400
4561;0.2946;14336
677;0.2946;6622
2152;0.2947;5796
1877;0.2948;12932
5920;0.2948;7310
9521;0.2949;14112
673;0.2949;6111
2969;0.2949;14351
97;0.2949;3591
194;0.2949;3591
388;0.2949;3591
1044;0.2949;3038
5910;0.2950;7725
157;0.2950;5074
314;0.2950;5074
121;0.2951;3660
760;0.2952;3696
829;0.2953;6831
7170;0.2953;7548
9733;0.2953;14351
5521;0.2954;15876
525;0.2954;3710
6983;0.2954;14112
9601;0.2954;14112
6592;0.2955;5185
1033;0.2955;7865
934;0.2955;5320
6899;0.2955;13875
1589;0.2955;9350
593;0.2957;5313
8117;0.2957;15624
1087;0.2958;8911
5569;0.2959;15876
105;0.2959;3190
557;0.2960;5254
7039;0.2960;14112
5417;0.2960;15750
4079;0.2960;15624
204;0.2961;1925
2939;0.2961;14112
4657;0.2962;14336
1460;0.2963;7696
1076;0.2963;5589
9920;0.2963;7380
4621;0.2964;14097
1084;0.2964;6120
1602;0.2965;6048
3388;0.2966;7425
2200;0.2966;3645
1357;0.2966;10168
1048;0.2968;5135
1760;0.2969;2688
6379;0.2969;14097
768;0.2970;2340
7151;0.2971;14112
1001;0.2971;6741
62;0.2971;5785
2917;0.2972;14351
9587;0.2972;13875
440;0.2974;1974
251;0.2974;5040
502;0.2974;5040
809;0.2976;6392
6820;0.2976;5084
3090;0.2977;6336
8208;0.2977;5610
6917;0.2978;13764
8010;0.2979;7832
378;0.2979;2464
1100;0.2979;3555
1009;0.2981;7626
4960;0.2981;7290
4363;0.2982;12932
6131;0.2983;13860
2550;0.2983;4958
8269;0.2984;15498
6863;0.2985;13875
9433;0.2985;13875
6997;0.2985;13640
119;0.2985;3591
357;0.2985;3591
5657;0.2985;15750
1496;0.2986;3848
4553;0.2987;14097
6337;0.2987;14097
1995;0.2988;6958
884;0.2988;5358
4517;0.2988;13860
8101;0.2990;15372
831;0.2990;5605
4160;0.2991;6800
791;0.2992;6384
693;0.2992;5037
2719;0.2992;12947
371;0.2993;3705
1961;0.2994;11830
4549;0.2994;13860
1664;0.2994;2862
1013;0.2995;7626
2790;0.2997;5456
1232;0.2997;3640
1579;0.2997;11590
5449;0.2998;15498
2500;0.2998;6441
1804;0.2999;5848
1078;0.3000;5890
6089;0.3001;13860
887;0.3001;6864
262;0.3002;4940
533;0.3002;5313
2693;0.3002;15372
405;0.3002;2448
6947;0.3003;13640
9419;0.3003;13640
2124;0.3005;6440
6420;0.3005;6390
577;0.3005;5175
6323;0.3006;13860
1667;0.3006;10296
2028;0.3006;6240
8093;0.3007;15246
523;0.3008;4788
5360;0.3008;5456
302;0.3008;4897
2677;0.3008;15246
5393;0.3009;15372
4860;0.3010;5880
511;0.3011;4524
589;0.3011;5244
2120;0.3012;5644
99;0.3013;3648
125;0.3013;3584
2909;0.3014;14112
9397;0.3014;13875
2920;0.3015;7696
5441;0.3015;15372
653;0.3015;6391
992;0.3016;4788
4320;0.3016;2805
6301;0.3016;14097
4007;0.3017;15120
1780;0.3017;5346
1250;0.3017;6380
399;0.3017;3672
516;0.3018;2376
4481;0.3018;13860
4567;0.3019;13625
5640;0.3021;3770
637;0.3022;6083
997;0.3023;7502
2976;0.3024;5394
4513;0.3024;13860
1725;0.3026;4895
1924;0.3027;6003
225;0.3027;1632
95;0.3027;3472
190;0.3027;3472
380;0.3027;3472
787;0.3027;6270
3726;0.3027;3528
1655;0.3027;8631
3310;0.3027;8631
149;0.3028;4838
298;0.3028;4838
894;0.3029;4830
248;0.3029;3575
1060;0.3029;5440
6329;0.3030;13860
569;0.3030;5106
3672;0.3030;5551
6053;0.3030;13860
415;0.3031;3864
2019;0.3032;6402
6911;0.3033;13640
1279;0.3035;9984
991;0.3036;7688
6101;0.3036;13860
2711;0.3036;12720
221;0.3037;4617
1075;0.3037;7047
6967;0.3039;13640
6883;0.3040;13407
7104;0.3041;2680
323;0.3042;5680
646;0.3042;5680
989;0.3043;7440
247;0.3043;4899
494;0.3043;4899
1063;0.3044;8580
4463;0.3044;13392
1747;0.3044;12600
779;0.3046;6204
575;0.3046;5183
595;0.3047;5248
703;0.3047;6180
6870;0.3047;5900
1019;0.3047;7626
6197;0.3048;13860
4440;0.3048;4160
1370;0.3049;6231
459;0.3049;2394
4409;0.3050;13625
918;0.3050;3108
1280;0.3051;2688
237;0.3051;4680
9491;0.3052;13407
544;0.3053;2624
283;0.3055;5467
566;0.3055;5467
983;0.3055;7626
4980;0.3055;6968
1064;0.3055;5325
4441;0.3055;13625
397;0.3056;4392
8880;0.3056;4225
3256;0.3056;5451
666;0.3057;2303
2897;0.3059;13640
6869;0.3059;13176
793;0.3060;6164
1403;0.3061;10140
7440;0.3063;5368
6067;0.3063;13392
3300;0.3064;4028
4606;0.3064;8901
1860;0.3064;4575
5547;0.3065;8092
9337;0.3065;13407
1487;0.3065;9047
2851;0.3066;13407
2187;0.3067;6136
2017;0.3069;13298
344;0.3070;1935
2687;0.3075;12495
6163;0.3075;13392
6688;0.3075;6048
9497;0.3077;13407
4136;0.3077;3744
442;0.3078;4503
663;0.3078;4503
650;0.3078;5432
290;0.3078;4720
767;0.3079;6188
444;0.3079;2254
892;0.3080;5254
785;0.3080;6097
749;0.3080;5915
581;0.3080;5100
985;0.3081;6930
6211;0.3081;13392
2088;0.3081;3038
1247;0.3082;9728
4423;0.3083;13161
6959;0.3083;13407
437;0.3083;4554
5568;0.3084;2166
9323;0.3084;13176
1471;0.3085;8964
1234;0.3085;6213
5016;0.3086;5824
854;0.3086;4740
1326;0.3087;4503
1673;0.3087;9990
6073;0.3088;13392
3540;0.3088;6072
7080;0.3088;6072
2861;0.3089;13640
417;0.3090;3696
4600;0.3090;6077
9403;0.3090;13176
2857;0.3091;13407
220;0.3091;1692
969;0.3091;6806
774;0.3092;2940
2820;0.3093;3450
6400;0.3093;5115
567;0.3093;3000
1030;0.3093;5544
6121;0.3094;13392
9504;0.3095;3680
1302;0.3097;5040
902;0.3098;4968
1300;0.3099;7098
3900;0.3099;7098
9720;0.3100;4158
907;0.3102;6525
669;0.3102;5100
6217;0.3106;13392
171;0.3107;3782
9461;0.3107;13407
1541;0.3108;8774
363;0.3108;3600
124;0.3109;3355
816;0.3110;2585
319;0.3110;5530
638;0.3110;5530
978;0.3111;5520
2843;0.3111;13176
3744;0.3111;4140
9960;0.3113;6968
888;0.3113;2303
949;0.3114;7130
1242;0.3114;2842
7380;0.3115;9240
293;0.3115;4880
586;0.3115;4880
695;0.3116;6018
2277;0.3118;5808
6037;0.3118;13392
4493;0.3120;13161
660;0.3121;2304
751;0.3121;6052
1022;0.3125;7772
4224;0.3126;3657
1003;0.3127;7381
1937;0.3127;12744
2837;0.3127;13407
3180;0.3128;5928
1050;0.3129;3650
2833;0.3130;13176
6133;0.3130;13392
807;0.3131;5301
1265;0.3132;5332
1845;0.3133;5248
1276;0.3133;5133
1088;0.3133;3016
763;0.3134;5980
4447;0.3134;12932
4068;0.3134;5880
6120;0.3135;3120
941;0.3135;7068
4380;0.3135;7696
606;0.3137;4661
4386;0.3137;5808
8760;0.3137;7844
7260;0.3138;4331
1657;0.3138;9790
6113;0.3139;13161
153;0.3139;1749
1039;0.3140;8255
967;0.3140;7381
3760;0.3140;3630
9293;0.3141;13176
207;0.3141;3528
375;0.3144;2160
445;0.3144;4176
977;0.3144;7140
2803;0.3144;12947
2480;0.3145;3844
135;0.3146;1710
127;0.3147;4662
2350;0.3148;4838
591;0.3149;5180
649;0.3149;5640
1284;0.3150;6816
2056;0.3150;5346
743;0.3150;5984
2819;0.3151;12947
4457;0.3151;13161
1512;0.3151;2107
3720;0.3152;4575
1225;0.3152;6370
4421;0.3153;12932
169;0.3155;4514
651;0.3155;4368
1688;0.3156;5254
1388;0.3157;7210
1619;0.3157;9690
2300;0.3157;7424
5840;0.3158;7844
395;0.3159;3685
2816;0.3159;3944
172;0.3160;1677
2797;0.3161;13176
670;0.3161;3780
7740;0.3162;5544
2795;0.3162;6650
6029;0.3164;13161
2408;0.3164;6160
258;0.3166;2268
279;0.3166;4425
5160;0.3168;4284
886;0.3169;4891
1493;0.3170;8528
9108;0.3170;6413
1028;0.3170;5148
885;0.3171;5428
733;0.3171;5696
933;0.3171;6560
8364;0.3171;3920
6660;0.3172;3900
657;0.3175;4958
1314;0.3175;4958
961;0.3175;7020
5430;0.3176;7350
8190;0.3176;5460
769;0.3177;5874
869;0.3177;6720
3200;0.3177;4161
306;0.3177;2436
1018;0.3183;6732
448;0.3185;2430
868;0.3186;4828
2273;0.3186;11696
2002;0.3186;4134
1032;0.3186;2376
535;0.3188;4828
289;0.3190;4740
578;0.3190;4740
142;0.3190;4345
385;0.3190;3348
1641;0.3190;9592
239;0.3191;4623
478;0.3191;4623
1477;0.3191;8446
2484;0.3191;3190
855;0.3192;4464
725;0.3192;5632
423;0.3193;3843
711;0.3193;4838
3344;0.3194;5724
6360;0.3195;5928
8448;0.3196;3479
953;0.3197;6960
6630;0.3197;5586
519;0.3197;4760
861;0.3198;5369
231;0.3198;3996
921;0.3199;6478
729;0.3200;5310
1005;0.3200;3900
6043;0.3200;12705
889;0.3203;6460
1134;0.3203;3456
1692;0.3203;3053
755;0.3204;5824
679;0.3205;5800
875;0.3205;4717
9360;0.3206;4851
266;0.3206;4875
532;0.3206;4875
582;0.3207;4484
503;0.3207;7524
1006;0.3207;7524
413;0.3207;3776
311;0.3207;5313
622;0.3207;5313
712;0.3208;3339
2789;0.3208;12947
7776;0.3208;3672
278;0.3209;4650
836;0.3209;4914
1031;0.3209;8064
1188;0.3211;2806
3285;0.3211;7452
1202;0.3212;5900
291;0.3214;4543
901;0.3214;6758
696;0.3215;2193
2801;0.3217;12720
1628;0.3219;4977
756;0.3219;3116
2094;0.3220;6858
1568;0.3220;5280
287;0.3220;4484
574;0.3220;4484
2440;0.3221;6825
5952;0.3222;2958
1282;0.3222;6045
387;0.3223;2184
671;0.3224;5742
1419;0.3224;3285
1545;0.3224;5180
667;0.3224;5490
2023;0.3225;10752
2538;0.3225;2924
1168;0.3226;5520
4814;0.3227;2916
548;0.3227;5159
1400;0.3229;4720
4200;0.3229;4720
937;0.3230;6840
116;0.3230;3245
343;0.3230;3402
7854;0.3230;3922
1151;0.3231;8960
893;0.3232;6696
499;0.3233;4380
641;0.3233;5487
1600;0.3233;4070
307;0.3234;5244
614;0.3234;5244
1058;0.3234;6808
857;0.3236;6552
590;0.3237;3312
979;0.3237;7080
659;0.3238;5429
18;0.3239;9664
129;0.3239;1596
865;0.3240;6300
943;0.3240;7080
929;0.3240;6780
2960;0.3241;6565
797;0.3242;6580
2749;0.3243;12720
501;0.3243;4582
1002;0.3246;6405
3784;0.3246;3450
924;0.3247;3348
271;0.3247;5032
542;0.3247;5032
1017;0.3247;3024
170;0.3248;2494
761;0.3248;5720
862;0.3249;6596
1430;0.3250;4465
2068;0.3250;4224
348;0.3251;2107
3648;0.3251;2310
7290;0.3251;3900
349;0.3252;6048
698;0.3252;6048
4080;0.3253;3720
971;0.3254;7020
579;0.3256;4484
1848;0.3256;3363
414;0.3256;2156
897;0.3256;6314
922;0.3256;5890
1007;0.3257;7872
603;0.3257;4602
335;0.3258;3300
2777;0.3259;12495
6142;0.3259;3105
203;0.3260;3472
406;0.3260;3472
1240;0.3261;3100
355;0.3261;3750
973;0.3261;6960
174;0.3262;1591
93;0.3264;3294
851;0.3264;6048
2010;0.3266;4140
717;0.3266;5481
2640;0.3266;2976
5400;0.3266;3720
2385;0.3267;5544
678;0.3267;3015
416;0.3268;1998
235;0.3269;4488
3429;0.3271;5133
766;0.3271;5695
753;0.3271;5655
209;0.3272;4212
418;0.3272;4212
8520;0.3272;7008
3542;0.3273;3355
846;0.3273;2322
1404;0.3274;3180
959;0.3274;6586
877;0.3274;6572
65;0.3275;4898
643;0.3275;5307
4572;0.3276;5251
5460;0.3276;6800
354;0.3278;3286
4576;0.3279;3657
1528;0.3279;4818
4972;0.3280;4018
913;0.3281;6660
1376;0.3281;2420
859;0.3282;6048
373;0.3282;5734
746;0.3282;5734
558;0.3283;4307
9984;0.3283;2135
1956;0.3285;6283
1256;0.3285;5525
303;0.3286;4602
1571;0.3286;9213
453;0.3286;4288
3102;0.3287;3350
7728;0.3287;3380
6292;0.3287;4998
647;0.3288;5568
919;0.3290;6900
299;0.3290;5106
820;0.3291;4485
2741;0.3292;12495
1672;0.3293;4914
4554;0.3293;5512
25;0.3294;504
745;0.3295;5590
331;0.3295;5544
662;0.3295;5544
880;0.3296;2303
1980;0.3296;3025
709;0.3296;5418
826;0.3297;4720
1120;0.3297;2451
89;0.3297;3127
356;0.3297;3127
4182;0.3297;3312
905;0.3298;6600
798;0.3299;3834
739;0.3299;5607
5850;0.3300;6882
115;0.3300;3348
844;0.3302;4828
618;0.3302;4836
8568;0.3302;3234
82;0.3304;4392
164;0.3304;4392
947;0.3304;6840
3240;0.3304;3886
782;0.3305;3213
713;0.3306;5394
1530;0.3307;2365
1204;0.3307;5852
911;0.3307;6840
849;0.3307;6386
2016;0.3308;2107
457;0.3309;3953
1871;0.3309;10148
1080;0.3311;2268
8160;0.3312;3720
2508;0.3312;4698
465;0.3313;2460
965;0.3313;6900
1632;0.3313;3450
974;0.3313;7168
491;0.3315;4248
3290;0.3315;11259
5720;0.3315;4389
4488;0.3316;3848
328;0.3316;4514
4020;0.3316;8874
7482;0.3317;5180
9660;0.3317;3780
1609;0.3318;9102
627;0.3319;4104
1254;0.3319;4104
737;0.3319;5525
1053;0.3320;3000
166;0.3321;2520
731;0.3323;5544
835;0.3323;5893
2310;0.3323;4144
839;0.3323;6783
608;0.3324;4814
625;0.3324;5225
853;0.3324;6386
2220;0.3325;3185
543;0.3326;4760
2288;0.3327;4686
631;0.3329;5452
633;0.3329;4680
1316;0.3331;3648
906;0.3331;5734
852;0.3333;4623
7680;0.3333;3720
3384;0.3334;3053
1584;0.3335;2714
1540;0.3337;3150
8460;0.3338;6348
1312;0.3338;6003
1095;0.3339;6693
2190;0.3339;6693
3328;0.3340;3132
41;0.3340;9990
664;0.3340;2820
1456;0.3340;2820
4590;0.3340;2793
781;0.3341;6348
147;0.3343;3904
441;0.3343;3904
881;0.3347;6420
345;0.3349;3380
827;0.3349;5822
281;0.3350;4466
562;0.3350;4466
623;0.3350;5394
261;0.3350;2397
1748;0.3350;3328
3496;0.3350;3328
6992;0.3350;3328
3828;0.3351;4590
158;0.3352;4896
17;0.3353;13824
3330;0.3353;3185
2376;0.3354;2806
4950;0.3354;3366
393;0.3354;3339
6528;0.3355;3848
823;0.3356;6669
2244;0.3357;3965
923;0.3357;6660
2208;0.3358;2478
1728;0.3358;2320
795;0.3358;4872
931;0.3358;6545
316;0.3359;5236
3410;0.3362;4248
165;0.3363;1472
5490;0.3363;6375
1974;0.3364;3520
1481;0.3364;8549
8184;0.3364;5487
685;0.3365;5340
4257;0.3365;3655
1396;0.3366;6210
534;0.3366;4130
3168;0.3366;3185
1350;0.3366;3078
936;0.3366;2350
771;0.3366;4860
744;0.3367;3481
2792;0.3368;6372
16;0.3368;864
2046;0.3369;7189
1248;0.3369;2600
814;0.3369;4725
842;0.3370;4620
3795;0.3370;5332
7920;0.3370;3332
61;0.3370;2068
3588;0.3372;3224
7176;0.3372;3224
8656;0.3374;6177
701;0.3374;5270
594;0.3375;2024
815;0.3376;6612
7360;0.3377;3456
5580;0.3377;5508
721;0.3377;5395
3404;0.3379;3276
6808;0.3379;3276
917;0.3379;6540
4968;0.3381;3410
1458;0.3382;2688
282;0.3382;1700
856;0.3384;3658
1592;0.3384;4828
8000;0.3385;4830
159;0.3387;3496
242;0.3387;4260
243;0.3388;4484
841;0.3388;6222
1368;0.3391;3960
794;0.3393;5676
427;0.3394;3780
217;0.3394;4148
994;0.3396;5460
661;0.3396;5848
7840;0.3396;5406
845;0.3397;5796
2209;0.3398;10824
330;0.3399;1886
968;0.3400;4380
5040;0.3401;3720
784;0.3401;3796
1969;0.3401;5616
2720;0.3402;4248
396;0.3402;1978
958;0.3404;6930
5760;0.3405;3348
617;0.3406;5076
1392;0.3406;2601
376;0.3407;1720
658;0.3408;3008
540;0.3408;2016
697;0.3408;5185
384;0.3409;1848
2840;0.3410;6240
621;0.3411;4544
550;0.3411;2565
1221;0.3412;4560
452;0.3413;2479
728;0.3413;2350
2530;0.3413;5332
899;0.3414;6480
71;0.3414;4602
773;0.3415;6188
1577;0.3415;8820
428;0.3416;3472
2464;0.3418;3640
2632;0.3418;6205
741;0.3420;5632
1704;0.3420;4623
2430;0.3421;3172
224;0.3421;1824
6160;0.3421;3528
421;0.3422;3960
50;0.3422;792
5440;0.3422;9724
876;0.3423;4485
2346;0.3423;2337
412;0.3424;3294
8466;0.3424;5452
2486;0.3424;3840
6204;0.3425;3685
6336;0.3425;3174
675;0.3426;2592
3264;0.3426;2478
7830;0.3427;5372
1746;0.3428;6344
1872;0.3429;3120
3360;0.3430;3720
1890;0.3431;3710
8256;0.3431;2142
2944;0.3433;2584
553;0.3434;4956
505;0.3434;4615
181;0.3434;5800
362;0.3434;5800
5146;0.3435;3360
277;0.3435;4332
554;0.3435;4332
6720;0.3435;3720
1128;0.3436;2401
792;0.3439;2024
1554;0.3439;5025
2706;0.3439;3431
280;0.3439;1634
513;0.3440;4680
689;0.3441;5124
1015;0.3441;5760
63;0.3441;1764
700;0.3443;4240
2100;0.3443;4240
3480;0.3444;4736
389;0.3445;5544
778;0.3445;5544
824;0.3446;3416
615;0.3447;4096
274;0.3447;5175
4000;0.3448;4690
1753;0.3448;9434
688;0.3449;2021
9840;0.3449;5280
3840;0.3450;2907
2352;0.3450;5840
1880;0.3451;2730
4992;0.3451;2040
759;0.3451;4717
883;0.3453;6360
236;0.3453;2508
2161;0.3454;10578
9180;0.3455;6882
4920;0.3457;4752
812;0.3465;4554
59;0.3466;1786
1504;0.3467;2400
7488;0.3467;1947
477;0.3469;4180
620;0.3471;2728
524;0.3473;4736
7304;0.3474;4914
5888;0.3475;3036
648;0.3475;2040
950;0.3476;4620
757;0.3478;6052
1144;0.3478;3976
5376;0.3482;1904
175;0.3483;3224
539;0.3484;4526
196;0.3486;3540
952;0.3486;4248
5336;0.3488;8736
9450;0.3488;6534
8040;0.3488;6660
475;0.3489;3990
628;0.3492;5015
1384;0.3492;5742
391;0.3496;5916
609;0.3497;4410
485;0.3497;4312
2850;0.3498;5040
342;0.3498;3050
392;0.3500;3420
1610;0.3503;3132
3220;0.3503;3132
6440;0.3503;3132
3818;0.3503;3234
640;0.3505;2254
707;0.3506;5185
804;0.3506;4221
3486;0.3506;2772
1448;0.3510;6106
805;0.3513;5440
3196;0.3516;9345
1092;0.3518;3420
4416;0.3519;1998
995;0.3519;5609
7980;0.3520;3864
2071;0.3520;10368
1566;0.3522;4032
9870;0.3523;8249
1561;0.3523;8632
1830;0.3524;4183
223;0.3524;4095
446;0.3524;4095
1020;0.3524;2392
1096;0.3525;5175
3920;0.3526;5253
173;0.3527;5568
346;0.3527;5568
692;0.3527;5568
930;0.3529;2800
2700;0.3529;3477
9936;0.3530;2623
777;0.3531;4891
6768;0.3532;3330
681;0.3532;4980
2668;0.3533;8528
6930;0.3534;3240
560;0.3535;2150
1352;0.3535;5626
6480;0.3536;4118
325;0.3537;4770
8096;0.3538;3185
350;0.3538;3250
6308;0.3539;2679
9152;0.3539;3922
4502;0.3539;16320
332;0.3540;2520
9900;0.3543;3630
186;0.3543;3127
372;0.3543;3127
2904;0.3544;3519
517;0.3544;4740
5670;0.3545;5808
14;0.3545;9240
2772;0.3548;4958
228;0.3548;3168
252;0.3548;1722
1245;0.3548;5408
35;0.3549;3080
938;0.3549;4875
213;0.3549;3894
383;0.3550;5780
1440;0.3550;2397
531;0.3552;4071
796;0.3552;4420
5280;0.3554;3087
2415;0.3555;5829
1094;0.3555;9804
2580;0.3558;3612
1336;0.3558;5568
639;0.3558;4081
113;0.3559;1776
1992;0.3559;4628
118;0.3559;2318
160;0.3559;1520
2112;0.3559;3450
727;0.3560;5874
1640;0.3560;5612
2952;0.3560;2952
871;0.3561;6784
527;0.3562;5112
714;0.3562;2024
497;0.3563;4480
541;0.3563;4928
2600;0.3564;3796
496;0.3565;3933
1518;0.3568;2912
3036;0.3568;2912
6072;0.3568;2912
364;0.3569;2068
2852;0.3573;2964
5704;0.3573;2964
338;0.3573;5452
676;0.3573;5452
106;0.3573;3266
904;0.3574;2479
495;0.3574;2160
993;0.3575;5544
1986;0.3575;5544
75;0.3578;858
8976;0.3580;4095
2116;0.3580;8066
601;0.3581;4784
26;0.3581;4940
3870;0.3581;4074
467;0.3582;3864
292;0.3582;4400
584;0.3582;4400
1320;0.3582;2021
510;0.3583;1800
3080;0.3583;3360
1710;0.3584;4130
1034;0.3584;5293
2130;0.3584;5828
39;0.3586;6420
597;0.3586;4278
1194;0.3586;4278
684;0.3589;3564
863;0.3589;6720
565;0.3590;5320
1130;0.3590;5320
706;0.3590;3905
482;0.3593;4050
719;0.3593;5808
177;0.3593;2204
4410;0.3596;6424
334;0.3597;5394
668;0.3597;5394
825;0.3597;2438
1696;0.3599;4588
828;0.3599;2070
928;0.3599;4615
1264;0.3599;5440
975;0.3601;5460
762;0.3601;4104
3600;0.3602;3068
770;0.3604;3330
1551;0.3606;5056
1304;0.3606;5452
847;0.3607;5576
1072;0.3608;4884
5676;0.3608;3312
1192;0.3609;4941
1983;0.3611;5848
564;0.3612;2107
140;0.3612;1376
2280;0.3612;3660
472;0.3612;2508
110;0.3612;1218
819;0.3614;4140
4170;0.3614;9324
102;0.3615;1599
4482;0.3615;2700
1428;0.3616;2420
146;0.3616;3968
2688;0.3617;1836
269;0.3617;4070
538;0.3617;4070
53;0.3617;2668
910;0.3617;3290
546;0.3617;3124
585;0.3619;2968
7020;0.3621;5858
1808;0.3623;2730
665;0.3623;5330
912;0.3625;3564
339;0.3625;2204
691;0.3627;4980
3960;0.3627;2989
2970;0.3629;2852
1920;0.3630;1890
51;0.3630;1102
860;0.3631;4352
672;0.3631;1925
189;0.3632;2040
7590;0.3633;3328
2400;0.3633;3036
1052;0.3636;6177
479;0.3639;7227
2838;0.3643;4032
2304;0.3645;2332
2656;0.3646;3780
450;0.3646;1632
462;0.3647;3672
123;0.3647;3000
369;0.3647;3000
702;0.3647;2772
163;0.3647;5278
326;0.3647;5278
652;0.3647;5278
2822;0.3648;2867
76;0.3651;4410
434;0.3651;3604
945;0.3653;3080
655;0.3653;5248
2256;0.3655;2750
948;0.3660;4440
683;0.3663;4920
858;0.3663;3636
1960;0.3668;4488
322;0.3668;1472
4830;0.3671;3481
789;0.3674;6035
6960;0.3674;4810
2160;0.3674;2496
456;0.3674;3168
4620;0.3674;4028
3856;0.3676;5044
4140;0.3677;2350
180;0.3677;1221
556;0.3678;4125
1716;0.3679;3933
310;0.3680;2193
1806;0.3681;3942
367;0.3681;5330
734;0.3681;5330
154;0.3683;3864
970;0.3683;4312
981;0.3684;4840
3924;0.3684;4840
275;0.3684;2280
312;0.3685;1650
955;0.3685;5313
81;0.3686;3752
77;0.3686;4620
400;0.3690;2184
1408;0.3691;3400
1740;0.3691;4012
2040;0.3691;2392
512;0.3692;2484
1328;0.3693;1806
489;0.3693;4278
1260;0.3695;3700
4480;0.3695;2016
940;0.3696;2378
22;0.3698;1125
2622;0.3698;7920
481;0.3698;4402
2104;0.3701;6177
315;0.3701;2394
3696;0.3702;3363
4752;0.3704;3186
1024;0.3704;2438
2000;0.3705;3744
461;0.3705;4704
740;0.3707;4087
1709;0.3707;17120
1494;0.3708;4234
2880;0.3709;2499
1055;0.3710;11340
522;0.3712;1886
1723;0.3713;15912
407;0.3713;3819
9000;0.3713;3213
944;0.3714;2760
265;0.3714;3942
530;0.3714;3942
515;0.3714;4130
4048;0.3717;3024
7138;0.3717;2491
8832;0.3718;2337
2214;0.3719;2646
324;0.3720;1734
4356;0.3720;3234
864;0.3721;2150
1056;0.3722;2856
7800;0.3729;7410
470;0.3729;2478
2670;0.3729;5658
723;0.3730;4300
1446;0.3730;4300
2340;0.3731;3393
2410;0.3731;5100
226;0.3734;2220
1464;0.3736;4288
800;0.3736;2912
19;0.3736;22275
1389;0.3737;7314
642;0.3737;4450
764;0.3737;4158
783;0.3738;3216
1152;0.3738;2646
990;0.3740;2385
295;0.3742;2600
435;0.3745;3410
87;0.3745;1666
32;0.3747;1073
715;0.3747;3608
288;0.3747;1457
500;0.3748;3015
1896;0.3750;4440
6750;0.3751;8704
2912;0.3753;3840
704;0.3757;2784
1500;0.3758;2632
6240;0.3760;3894
848;0.3760;4402
604;0.3761;4592
1476;0.3766;2706
724;0.3770;5504
708;0.3771;2795
545;0.3771;5022
1090;0.3771;5022
2180;0.3771;5022
352;0.3773;2184
284;0.3774;4134
568;0.3774;4134
304;0.3774;4004
8910;0.3775;3886
573;0.3776;4020
1146;0.3776;4020
8640;0.3778;4307
1733;0.3779;8856
890;0.3780;5166
451;0.3781;3618
205;0.3783;3315
410;0.3783;3315
2610;0.3786;4047
1432;0.3786;4221
1296;0.3786;2430
1160;0.3791;4661
8100;0.3791;5763
112;0.3798;1406
9240;0.3798;3220
2496;0.3799;1395
3320;0.3800;4453
1722;0.3801;4002
2520;0.3803;3700
4648;0.3803;2340
1480;0.3805;4087
255;0.3809;2263
903;0.3809;3657
509;0.3810;4218
320;0.3810;1517
238;0.3811;3944
476;0.3811;3944
5940;0.3811;3886
211;0.3815;3720
422;0.3815;3720
957;0.3818;5330
5250;0.3820;9112
67;0.3822;4118
134;0.3822;4118
1184;0.3825;4400
381;0.3825;3456
4050;0.3826;3876
9750;0.3829;8132
964;0.3832;4100
3680;0.3833;2544
735;0.3833;4182
1470;0.3833;4182
210;0.3833;1200
245;0.3835;3825
748;0.3836;4030
327;0.3838;4158
654;0.3838;4158
1308;0.3838;4158
1573;0.3839;3800
3810;0.3842;6596
7620;0.3842;6596
1968;0.3845;2840
353;0.3845;3087
2224;0.3845;4650
8280;0.3847;2350
1082;0.3847;4928
272;0.3849;1855
4680;0.3849;3393
460;0.3856;2124
484;0.3858;4189
96;0.3858;1200
596;0.3859;4455
359;0.3861;5040
718;0.3861;5040
1950;0.3861;6104
111;0.3865;3630
426;0.3866;3417
4890;0.3867;9600
747;0.3868;4400
1770;0.3869;3572
33;0.3872;1870
98;0.3875;2849
561;0.3878;3894
21;0.3879;972
616;0.3879;2560
6000;0.3880;3111
1360;0.3881;3234
5880;0.3888;4576
1122;0.3888;3894
5130;0.3891;4130
1344;0.3897;1224
1040;0.3898;2704
504;0.3898;1280
1112;0.3902;4275
66;0.3904;2295
8712;0.3905;3519
443;0.3905;3498
2940;0.3907;4420
1375;0.3910;3192
644;0.3912;1833
752;0.3914;2016
1669;0.3917;8528
3150;0.3920;5475
257;0.3922;3692
514;0.3922;3692
1000;0.3923;3128
241;0.3924;3700
1792;0.3925;1944
1928;0.3929;4100
486;0.3932;1938
7470;0.3934;2646
56;0.3935;986
810;0.3936;2236
469;0.3936;3933
4290;0.3936;6072
250;0.3937;3150
1680;0.3937;3038
351;0.3937;2065
7200;0.3937;3660
630;0.3937;2296
732;0.3940;3904
215;0.3941;3672
429;0.3943;2937
5808;0.3944;3519
259;0.3945;3886
518;0.3945;3886
3420;0.3947;4130
182;0.3948;1892
1008;0.3949;1560
55;0.3949;899
341;0.3949;5609
682;0.3949;5609
42;0.3954;736
3390;0.3956;3496
8550;0.3957;6930
710;0.3957;4898
6840;0.3959;3660
83;0.3960;1980
895;0.3960;4884
1790;0.3960;4884
555;0.3961;3721
1110;0.3961;3721
463;0.3966;6555
926;0.3966;6555
438;0.3967;3315
1066;0.3972;8820
58;0.3974;3108
1729;0.3974;15189
109;0.3974;3510
436;0.3974;3510
6256;0.3975;1980
232;0.3977;3445
464;0.3977;3445
1054;0.3977;9271
455;0.3979;2772
2460;0.3979;3933
27;0.3980;1980
192;0.3981;1050
317;0.3982;4940
1461;0.3983;4758
872;0.3983;3618
2760;0.3983;2400
549;0.3984;3770
634;0.3986;4940
572;0.3987;2937
200;0.3988;1482
2864;0.3989;4410
2370;0.3989;4500
80;0.3991;912
162;0.3993;1400
126;0.3996;1394
4800;0.4000;3660
212;0.4004;3224
424;0.4004;3224
1200;0.4005;2200
360;0.4005;1221
705;0.4007;4836
1102;0.4009;9805
29;0.4009;9964
15;0.4012;992
7650;0.4014;7920
1840;0.4016;2256
908;0.4018;4896
3336;0.4018;5229
108;0.4019;1254
1620;0.4020;3570
286;0.4021;2937
4560;0.4022;3660
1689;0.4024;4819
2988;0.4025;4234
9600;0.4027;3660
263;0.4031;5041
526;0.4031;5041
47;0.4033;3538
1226;0.4035;10496
34;0.4037;1922
830;0.4039;1728
148;0.4042;3350
986;0.4044;5640
788;0.4045;5673
716;0.4048;3780
980;0.4048;4182
9120;0.4049;3660
2024;0.4050;2294
24;0.4050;400
432;0.4052;1656
49;0.4053;2280
750;0.4058;2193
273;0.4061;2310
72;0.4062;837
3432;0.4063;3933
57;0.4064;4422
570;0.4065;3528
580;0.4067;4187
5220;0.4069;5304
70;0.4069;720
1944;0.4070;2280
3120;0.4076;2912
765;0.4078;4340
402;0.4078;3087
8970;0.4080;3304
738;0.4080;1968
2490;0.4084;1768
2392;0.4084;4838
656;0.4085;4453
1162;0.4090;1638
152;0.4093;3328
2576;0.4093;2162
592;0.4095;4015
537;0.4095;3648
1074;0.4095;3648
960;0.4097;1323
468;0.4097;2065
60;0.4099;810
1016;0.4100;4420
966;0.4104;2600
256;0.4107;1702
216;0.4107;1400
5370;0.4109;5133
834;0.4109;4977
1668;0.4109;4977
3000;0.4109;2448
141;0.4112;3782
5520;0.4117;2592
576;0.4117;1829
2250;0.4119;4661
645;0.4121;3196
20;0.4125;1188
3060;0.4129;5115
2080;0.4130;2964
1288;0.4130;1833
3864;0.4130;3150
632;0.4131;4340
1196;0.4133;6831
870;0.4140;2640
775;0.4142;5280
253;0.4143;3570
199;0.4148;3363
398;0.4148;3363
1660;0.4150;1764
492;0.4151;1920
925;0.4158;4392
347;0.4160;4620
694;0.4160;4620
218;0.4161;3456
296;0.4161;3350
490;0.4162;3876
1258;0.4163;11236
136;0.4164;1400
249;0.4168;3450
498;0.4168;3450
487;0.4169;4212
254;0.4175;4216
508;0.4175;4216
474;0.4176;3360
143;0.4177;2310
336;0.4178;1508
2158;0.4178;1692
185;0.4182;3111
370;0.4182;3111
736;0.4183;1537
68;0.4188;1287
972;0.4189;2120
161;0.4190;3630
602;0.4193;4131
155;0.4194;1681
340;0.4196;2574
6624;0.4198;1944
1206;0.4199;3960
600;0.4206;1600
176;0.4207;1728
1744;0.4208;3888
8700;0.4213;5115
100;0.4215;1248
1230;0.4221;3402
5658;0.4224;3999
624;0.4240;1908
951;0.4241;4940
268;0.4242;3626
536;0.4242;3626
394;0.4242;2890
772;0.4245;5369
507;0.4246;3808
234;0.4247;1938
3660;0.4247;4914
7320;0.4247;4914
563;0.4254;4187
150;0.4259;1080
686;0.4269;4484
64;0.4269;1080
1564;0.4270;1431
130;0.4270;3248
1380;0.4279;2115
184;0.4284;1020
85;0.4287;1682
40;0.4288;513
720;0.4298;1680
1472;0.4303;1908
3690;0.4304;4312
36;0.4308;1372
832;0.4308;1908
1794;0.4316;5146
114;0.4323;2112
264;0.4323;1640
2730;0.4325;3024
1800;0.4330;3060
28;0.4335;782
227;0.4338;4018
454;0.4338;4018
1932;0.4340;2850
390;0.4344;1920
3450;0.4349;4100
680;0.4351;2574
984;0.4353;2040
133;0.4366;3596
480;0.4368;1330
246;0.4372;1496
1104;0.4374;1710
6900;0.4378;3723
191;0.4399;3135
382;0.4399;3135
94;0.4400;950
520;0.4407;1924
368;0.4430;1368
1012;0.4432;3276
483;0.4442;3510
896;0.4444;1296
308;0.4448;3096
5100;0.4461;4187
1252;0.4461;10519
74;0.4467;2550
2070;0.4474;1426
43;0.4475;800
300;0.4478;1360
2990;0.4515;2576
44;0.4518;1131
900;0.4519;2257
54;0.4531;629
1186;0.4533;9396
187;0.4534;3024
374;0.4534;3024
69;0.4535;4725
240;0.4537;1102
920;0.4542;1680
276;0.4545;1782
3128;0.4549;1431
1290;0.4550;2400
128;0.4562;1554
430;0.4582;3038
1560;0.4588;2537
122;0.4591;2862
244;0.4591;2862
488;0.4591;2862
1150;0.4602;6512
45;0.4609;792
52;0.4615;858
88;0.4642;1200
1656;0.4651;1404
1410;0.4654;2460
86;0.4662;1568
195;0.4668;3136
78;0.4672;3136
780;0.4674;2394
183;0.4676;2915
366;0.4676;2915
132;0.4691;1763
92;0.4693;1125
6210;0.4697;4260
1170;0.4716;2926
420;0.4716;1887
90;0.4744;1056
528;0.4759;2156
506;0.4764;2376
5313;0.4769;5886
976;0.4774;3224
230;0.4794;2040
208;0.4821;1230
188;0.4823;1586
179;0.4825;2808
358;0.4825;2808
270;0.4840;1566
104;0.4890;861
3312;0.4927;1508
156;0.5057;1764
840;0.5057;2013
690;0.5057;1224
23;0.5067;2013
91;0.5131;1452
260;0.5142;3685
138;0.5186;1400
84;0.5198;858
120;0.5275;726
168;0.5290;966
552;0.5342;1125
117;0.5353;1218
201;0.5404;2280
178;0.5408;2968
48;0.5423;496
144;0.6080;903
46;0.6234;555
30;0.6296;324
1650;0.9403;2915
Jormungant
Posts: 854
Joined: May 27th, 2016, 1:01 am

Re: Small Four-Digit Prime Period Guns

Post by Jormungant »

Another wierd trick that could yeild prime guns is this weird block to long boat situation, but I did not find a clever way to insert that block and release a glider at the same time, but that could not be outside the realm of possibilities (the real question is if that can be made compact...). that being said, it also has this "always even" curse... looking forward to have a 180 degree reflector with a odd phase delay...

Code: Select all

x = 109, y = 123, rule = LifeHistory
8$86.2A$85.A.A$79.2A4.A$77.A2.A2.2A.4A$77.2A.A.A.A.A2.A$80.A.ABABAB$
80.A.AB2AB$81.AB.2B$84.3B$84.4B6.2A$82.3B2AB6.A$80.5B2AB3.BA.A$80.10B
.B2A$79.13B$78.6B3D5B$77.7BD7B$76.4B2.3BD4B$75.4B5.6B$74.4B4.9B$22.2A
49.4B5.2A4.4B10.2A$22.A49.4B7.A5.4B9.A$23.A47.4B5.3A7.4B10.A$10.A11.
2A46.4B6.A2.3A5.4B5.5A$10.3A8.B2.2A43.4B9.A2.A5.5B3.A$13.A7.B2A2.A41.
4B9.2A2.A.AB.7B2.B3A$12.2A6.2B.A.A41.4B15.2AB.7B3.2B.A$7.2A3.4BA2B.BA
.A.2A39.4B18.3B2D7B4A$8.A5.BABA3B2A42.4B19.2BDBD2B2A3BAB2.2A$8.A.AB.
2BA2BA3B42.4B20.4BD2B2A2B.B3A2.A$9.2AB.3B2A2B43.4B21.10B3.B.A.2A$11.
9B42.4B21.8B8.A$11.9B41.4B21.9B7.2A$7.2A2.6B3D40.4B21.4B2.3B$8.A3.5BD
3B38.4B21.4B3.5B$7.A4.6BD3B36.4B21.4B7.2A$7.2A3.7B.3B12.A.A19.4B21.4B
8.A$10.2A12B6.2A2.A.2A18.4B21.4B10.3A$7.2AB2A13B5.A3.A20.4B21.4B13.A$
6.A.A.B3.5B3.4B5.3A.3A16.4B21.4B$6.A3.4A3.4B2.4B6.A.A2.A3.A10.4B21.4B
15.A$7.3A3.A5.2A3.4B6.3BA.A.A.A8.4B21.4B14.3A$10.A8.A5.3B5.3B.B2A.A.A
7.4B19.B.4B14.A$9.2A9.3A3.2B4.6B2.A.A7.4B19.6B15.2A$22.A4.B.10B.A8.4B
20.5B13.5B$29.8B2.2A7.4B20.6B10.6B$25.12B10.4B10.A8.9B9.8B$24.13B9.4B
11.3A5.9B6.12B$24.13B8.4B15.A4.9B4.14B$25.12B7.4B15.2A5.25B$23.15B5.
4B16.5B3.24B$21.A.2AB.11B4.4B19.2B2A26B$19.3AB2AB.12B2.4B19.3B2A26B$
18.A4.B4.16B17.2B.32B$19.3A.2A3.15B17.2A33B$21.A.A5.2B.10B18.2AB.28B$
21.A.A8.11B18.B2.27B$22.A8.13B21.28B$30.5BD4B.4B18.30B$17.2A9.6BD5B2.
4B17.2A4.24B.3B$18.A8.7B3D3B3.4B17.A4.29B$18.A.2A4.14B4.4B13.3A5.29B$
14.A.2A.A.A3.7B2A4B7.4B12.A6.31B$14.2A.A2.B3.7BA2BA3B8.4B17.33B$17.A.
3B2.7BA2BA4B8.4B15.34B$17.A.2A11B2A5B9.4B13.4B.30B$18.A.A17B11.4B11.
4B2.30B$19.AB.17B11.4B9.4B3.30B$22.17B12.4B7.4B3.30B$24.16B12.4B5.4B
4.14B2A9B.2B$24.16B13.4B3.4B4.14BABA8B2.4B$25.15B2A12.4B.4B6.12B3A8B
5.2A.A$25.10B4.A2BA2.2A8.7B7.8B.3B3A7B6.2AB3A$25.10B4.ABAB3.A2.A6.5B
11.2B4.13B7.B4.A$26.B2.5B6.A4B.A.A.A5.5B18.4BA3B2A2B6.2A.3A$31.3B8.B
2A.A2.A5.7B20.B6A2B7.A.A$32.4B6.BAB.A7.4B.4B18.2B3AB2AB8.A.A$34.2A.A
2.A4.A7.4B3.4B17.8B10.A$34.2AB8A7.4B5.4B15.6B2AB$35.B15.4B7.4B15.7B$
34.2A.2A2.2A7.4B9.4B13.2B2A4B$35.A.A3.2A6.4B11.4B12.2B2A4B$35.A.A10.
4B13.4B11.2B2A4B.B$36.A10.4B15.4B11.11B$46.4B17.4B11.12B4.B$45.4B19.
4B9.15B.B2A$44.4B21.4B8.8B2A7B2A$43.4B23.4B6.11BA5B.B$42.4B25.4B5.15B
$41.4B27.4B3.10B2.4B$40.4B29.4B2.10B3.B$39.4B31.4B.10B$38.4B28.2C18B$
37.4B29.2C19B$36.4B31.2B5.13B$35.4B31.3B5.14B$34.4B33.2B5.15B5.A$33.
4B34.2B5.5BD9B3.3A$32.4B36.12BD8B2.A$31.4B39.8B3D6B.BA2.A$30.4B41.18B
4A$29.4B45.15B$28.4B47.4B2A5B2.B2A$27.4B46.5B.2A.4B4.A$26.4B47.2A8.2B
5.A.2A$25.4B49.A7.2A2B.2A.A2.A$24.4B47.3A7.AB.A2B.A.2A$23.4B48.A8.A.
2AB2.A$22.4B58.A5.A$21.4B60.6A.A$20.4B63.A3.A.A$19.4B67.A2.A$18.4B69.
2A$17.4B$16.4B$15.4B!
User avatar
Vort
Posts: 249
Joined: May 14th, 2024, 6:35 am

Re: Small Four-Digit Prime Period Guns

Post by Vort »

I optimized guns with prime periods of ~1k..2k by generating modifications to gun_841 (mod 8 = 1), gun_883 (mod 8 = 3), gun_853 (mod 8 = 5) and gun_863 (mod 8 = 7) families with larger amount of snarks.

Here are updated charts and source code used for optimization.
gun_coll_area_v28.png
gun_coll_area_v28.png (72.5 KiB) Viewed 4893 times
gun_coll_density_v19.png
gun_coll_density_v19.png (57.04 KiB) Viewed 4893 times

Code: Select all

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Net;
using System.Text;
using System.Text.RegularExpressions;

namespace ConsoleApplication145
{
    class Pattern : IEquatable<Pattern>
    {
        public readonly int Width;
        public readonly int Height;

        public readonly int WordWidth;
        public readonly int WordCount;
        ulong[] cells;

        public static readonly Pattern GliderTop1;
        public static readonly Pattern GliderTop2;
        public static readonly Pattern GliderBottom1;
        public static readonly Pattern GliderBottom2;
        public static readonly Pattern GliderLeft1;
        public static readonly Pattern GliderLeft2;
        public static readonly Pattern GliderRight1;
        public static readonly Pattern GliderRight2;

        static Pattern()
        {
            GliderTop1 = ReadRLE("x = 3, y = 3", "3o$2bo$bo!");
            GliderTop2 = ReadRLE("x = 3, y = 3", "3o$o$bo!");
            GliderBottom1 = ReadRLE("x = 3, y = 3", "bo$2bo$3o!");
            GliderBottom2 = ReadRLE("x = 3, y = 3", "bo$o$3o!");
            GliderLeft1 = ReadRLE("x = 3, y = 3", "2o$obo$o!");
            GliderLeft2 = ReadRLE("x = 3, y = 3", "o$obo$2o!");
            GliderRight1 = ReadRLE("x = 3, y = 3", "2bo$obo$b2o!");
            GliderRight2 = ReadRLE("x = 3, y = 3", "b2o$obo$2bo!");
        }

        public Pattern(int width, int height)
        {
            Width = width;
            Height = height;
            WordWidth = (Width + 63) / 64;
            WordCount = WordWidth * Height;
            cells = new ulong[WordCount];
        }

        public Pattern(int width, int height, Pattern source, int offsetX, int offsetY)
            : this(width, height)
        {
            for (int y = 0; y < Height; y++)
                for (int x = 0; x < Width; x++)
                    this[x, y] = source[x + offsetX, y + offsetY];
        }

        public bool this[int x, int y]
        {
            get
            {
                int div = x / 64;
                int shift = x % 64;
                return (cells[div + y * WordWidth] >> shift & 1UL) == 1UL;
            }
            set
            {
                int div = x / 64;
                int shift = x % 64;
                cells[div + y * WordWidth] &= ~(1UL << shift);
                cells[div + y * WordWidth] |= (value ? 1UL : 0UL) << shift;
            }
        }

        private static void HalfAdder(ulong a, ulong b, out ulong carry, out ulong sum)
        {
            sum = a ^ b;
            carry = a & b;
        }

        private static void FullAdder(ulong a, ulong b, ulong c, out ulong carry, out ulong sum)
        {
            ulong temp = a ^ b;
            sum = temp ^ c;
            carry = a & b | temp & c;
        }

        public Pattern Advance()
        {
            ulong[] n1 = new ulong[WordCount];
            ulong[] n2 = new ulong[WordCount];
            for (int y = 0; y < Height; y++)
            {
                for (int x = 0; x < WordWidth; x++)
                {
                    ulong w = cells[x + y * WordWidth];
                    n1[x + y * WordWidth] |= w >> 1;
                    n2[x + y * WordWidth] |= w << 1;
                    if (x != 0)
                        n1[x - 1 + y * WordWidth] |= w << 63;
                    else
                    {
                        int shift = (Width + 63) % 64;
                        n1[WordWidth - 1 + y * WordWidth] |= (w & 1UL) << shift;
                    }
                    if (x != WordWidth - 1)
                        n2[x + 1 + y * WordWidth] |= w >> 63;
                    else
                    {
                        int shift1 = 64 - Width % 64;
                        ulong mask = 0xFFFFFFFFFFFFFFFFUL >> shift1;
                        n2[x + y * WordWidth] &= mask;
                        int shift2 = (Width - 1) % 64;
                        n2[y * WordWidth] |= w >> shift2;
                    }
                }
            }

            var result = new Pattern(Width, Height);
            for (int i = 0; i < cells.Length; i++)
            {
                int im1 = i - WordWidth < 0 ? i - WordWidth + WordCount : i - WordWidth;
                int ip1 = i + WordWidth >= WordCount ? i + WordWidth - WordCount : i + WordWidth;
                ulong j, k, l, m, n, o;
                FullAdder(n1[im1], n1[i], n1[ip1], out m, out j);
                FullAdder(n2[im1], n2[i], n2[ip1], out n, out k);
                HalfAdder(cells[im1], cells[ip1], out o, out l);
                ulong x, y, z, w;
                FullAdder(j, k, l, out y, out w);
                FullAdder(m, n, o, out x, out z);
                result.cells[i] = (cells[i] | w) & (y ^ z) & ~x;
            }
            return result;
        }

        public void Clear(int startX, int startY, int countX, int countY)
        {
            for (int y = 0; y < countY; y++)
                for (int x = 0; x < countX; x++)
                    this[x + startX, y + startY] = false;
        }

        public bool Search(Pattern pattern, int startX, int startY, int countX, int countY)
        {
            for (int y1 = 0; y1 < countY; y1++)
            {
                for (int x1 = 0; x1 < countX; x1++)
                {
                    bool found = true;
                    for (int y2 = 0; y2 < pattern.Height; y2++)
                    {
                        for (int x2 = 0; x2 < pattern.Width; x2++)
                        {
                            if (this[startX + x1 + x2, startY + y1 + y2] != pattern[x2, y2])
                            {
                                found = false;
                                break;
                            }
                        }
                        if (!found)
                            break;
                    }
                    if (found)
                        return true;
                }
            }
            return false;
        }

        public Pattern Normalize(int expectedPeriod)
        {
            Pattern expanded = new Pattern(Width + 6, Height + 6);
            expanded.Stamp(this, 3, 3);

            int lastPeriod = int.MinValue;
            int gliderTick = int.MaxValue;
            var latestGenerations = new List<Pattern>();
            for (int tick = 0; tick < expectedPeriod * 3; tick++)
            {
                bool gliderFound =
                    expanded.Search(GliderTop1, 0, 0, Width + 4, 1) ||
                    expanded.Search(GliderTop2, 0, 0, Width + 4, 1) ||
                    expanded.Search(GliderBottom1, 0, Height + 3, Width + 4, 1) ||
                    expanded.Search(GliderBottom2, 0, Height + 3, Width + 4, 1) ||
                    expanded.Search(GliderLeft1, 0, 0, 1, Height + 4) ||
                    expanded.Search(GliderLeft2, 0, 0, 1, Height + 4) ||
                    expanded.Search(GliderRight1, Width + 3, 0, 1, Height + 4) ||
                    expanded.Search(GliderRight2, Width + 3, 0, 1, Height + 4);
                if (gliderFound)
                {
                    expanded.Clear(0, 0, expanded.Width, 3);
                    expanded.Clear(0, Height + 3, expanded.Width, 3);
                    expanded.Clear(0, 0, 3, expanded.Height);
                    expanded.Clear(Width + 3, 0, 3, expanded.Height);
                    int period = tick - gliderTick;
                    if (period == lastPeriod)
                    {
                        if (period == expectedPeriod)
                            return new Pattern(Width, Height, latestGenerations[0], 3, 3);
                        else
                            return null;
                    }
                    else
                    {
                        gliderTick = tick;
                        lastPeriod = period;
                    }
                }
                latestGenerations.Add(expanded);
                if (latestGenerations.Count > 12)
                    latestGenerations.RemoveAt(0);
                expanded = expanded.Advance();
            }
            return null;
        }

        public void Stamp(Pattern stamp, int xo, int yo)
        {
            for (int y = 0; y < stamp.Height; y++)
                for (int x = 0; x < stamp.Width; x++)
                    this[x + xo, y + yo] |= stamp[x, y];
        }

        public void WriteRLE(string fileName, string comment = null)
        {
            var sb = new StringBuilder();
            if (comment != null)
                sb.AppendLine($"#C {comment}");
            sb.AppendLine($"x = {Width}, y = {Height}, rule = B3/S23");
            var tags = new List<char>();
            for (int y = 0; y < Height; y++)
            {
                for (int x = 0; x < Width; x++)
                    tags.Add(this[x, y] ? 'o' : 'b');
                tags.Add(y == Height - 1 ? '!' : '$');
            }
            int lineLength = 0;
            for (int i = 0; i < tags.Count; i++)
            {
                int runCount = 1;
                while (i + 1 < tags.Count && tags[i] == tags[i + 1])
                {
                    i++;
                    runCount++;
                }
                string run = runCount == 1 ? $"{tags[i]}" : $"{runCount}{tags[i]}";
                if (lineLength + run.Length > 70)
                {
                    sb.AppendLine();
                    lineLength = 0;
                }
                sb.Append(run);
                lineLength += run.Length;
            }
            File.WriteAllText(fileName, sb.ToString());
        }

        public static Pattern ReadRLE(params string[] lines)
        {
            int x = 0;
            int y = 0;

            string scount = "";
            Pattern pattern = null;
            foreach (var line in lines)
            {
                if (line.StartsWith("#"))
                    continue;
                if (line.StartsWith("x"))
                {
                    var match = Regex.Match(line, "^x = ([0-9]+), y = ([0-9]+)");
                    if (!match.Success)
                        throw new Exception();
                    int width = int.Parse(match.Groups[1].Value);
                    int height = int.Parse(match.Groups[2].Value);
                    pattern = new Pattern(width, height);
                    continue;
                }

                for (int i = 0; i < line.Length; i++)
                {
                    char c = line[i];
                    if (c >= '0' && c <= '9')
                    {
                        scount += c;
                    }
                    else
                    {
                        if (c == '$')
                        {
                            x = 0;
                            int count = 1;
                            if (scount != "")
                                count = int.Parse(scount);
                            y += count;
                            scount = "";
                        }
                        else if (c == '!')
                            break;
                        else if (c == 'o' || c == 'b')
                        {
                            int count = 1;
                            if (scount != "")
                                count = int.Parse(scount);
                            for (int k = 0; k < count; k++)
                            {
                                pattern[x, y] = c == 'o';
                                x++;
                                pattern.WrapCoordinates(ref x, ref y);
                            }
                            scount = "";
                        }
                    }
                }
            }
            return pattern;
        }

        public static Pattern ReadRLE(string fileName)
        {
            return ReadRLE(File.ReadAllLines(fileName));
        }

        public override int GetHashCode()
        {
            ulong hash = (ulong)(Width << 16 | Height);
            for (int i = 0; i < cells.Length; i++)
                hash = hash ^ cells[i];
            return (int)(hash ^ hash >> 32);
        }

        public bool Equals(Pattern other)
        {
            if (Width != other.Width || Height != other.Height)
                return false;
            for (int i = 0; i < cells.Length; i++)
                if (cells[i] != other.cells[i])
                    return false;
            return true;
        }

        void WrapCoordinates(ref int x, ref int y)
        {
            if (x < 0)
                x += Width;
            else if (x >= Width)
                x -= Width;
            if (y < 0)
                y += Height;
            else if (y >= Height)
                y -= Height;
        }
    }

    class Component
    {
        public int X1;
        public int Y1;
        public int X2;
        public int Y2;
        public Pattern Pattern;

        public int X
        {
            get { return X1 + X2; }
        }

        public int Y
        {
            get { return Y1 + Y2; }
        }

        public Component(int x, int y, Pattern pattern)
        {
            X1 = x;
            Y1 = y;
            Pattern = pattern;
        }
    }

    class Port
    {
        public int PosX;
        public int PosY;
        public bool DirX;
        public bool DirY;
    }

    class Reflector
    {
        public Pattern Pattern;
        public Port InPort;
        public Port OutPort;
        public int Delay;
    }

    class Weld
    {
        public Reflector Reflector1;
        public Reflector Reflector2;
        public int Distance;
        public Pattern Result;
        public int OffsetX;
        public int OffsetY;
    }

    public class IntArrayEqualityComparer : IEqualityComparer<int[]>
    {
        public bool Equals(int[] x, int[] y)
        {
            if (x.Length != y.Length)
            {
                return false;
            }
            for (int i = 0; i < x.Length; i++)
            {
                if (x[i] != y[i])
                {
                    return false;
                }
            }
            return true;
        }

        public int GetHashCode(int[] obj)
        {
            int result = 17;
            for (int i = 0; i < obj.Length; i++)
            {
                unchecked
                {
                    result = result * 23 + obj[i];
                }
            }
            return result;
        }
    }

    class Program
    {
        Component initGlider;

        List<Weld> welds;

        static Dictionary<int, int> ParseCosts(string costsS)
        {
            var costs = new Dictionary<int, int>();
            if (costsS != null)
            {
                var lines = costsS.Split('\n');
                for (int i = 1; i < lines.Length - 1; i++)
                {
                    var spl = lines[i].Split(',');
                    int period = int.Parse(spl[0].Trim('"').Split('_')[1]);
                    int area = int.Parse(spl[1].Trim('"'));
                    costs.Add(period, area);
                }
            }
            return costs;
        }

        static Pattern Combine(params Component[] components)
        {
            int minX = int.MaxValue;
            int minY = int.MaxValue;

            foreach (var component in components)
            {
                if (component == null)
                    continue;
                minX = Math.Min(minX, component.X);
                minY = Math.Min(minY, component.Y);
            }

            int width = 0;
            int height = 0;
            foreach (var component in components)
            {
                if (component == null)
                    continue;
                width = Math.Max(width,
                    component.X + component.Pattern.Width - minX);
                height = Math.Max(height,
                    component.Y + component.Pattern.Height - minY);
            }

            Pattern pattern = new Pattern(width, height);
            foreach (var component in components)
            {
                if (component == null)
                    continue;
                pattern.Stamp(component.Pattern,
                    component.X - minX, component.Y - minY);
            }
            return pattern;
        }

        Pattern Build(Reflector[] reflectors, int[] offsets, ref int period)
        {
            var loopComponents = new List<Component>();
            loopComponents.Add(initGlider);

            int x = 0;
            int y = 0;
            period = 0;
            bool welded = false;
            for (int i = 0; i < reflectors.Length; i++)
            {
                Reflector r1 = reflectors[i];
                Reflector r2 = reflectors[(i + 1) % reflectors.Length];

                Weld weld = null;
                foreach (var w in welds)
                    if (w.Reflector1 == r1 && w.Reflector2 == r2 && w.Distance == offsets[i])
                    {
                        weld = w;
                        break;
                    }

                period += r1.Delay;
                period += 4 * offsets[i];
                if (!welded && weld != null)
                {
                    welded = true;
                    loopComponents.Add(new Component(x + weld.OffsetX, y + weld.OffsetY, weld.Result));
                }
                else if (welded)
                {
                    welded = false;
                }
                else
                {
                    loopComponents.Add(new Component(x, y, r1.Pattern));
                }
                x += r1.OutPort.PosX - r2.InPort.PosX + (r1.OutPort.DirX ? 1 : -1) * offsets[i];
                y += r1.OutPort.PosY - r2.InPort.PosY + (r1.OutPort.DirY ? 1 : -1) * offsets[i];
            }

            if (x != 0 || y != 0)
                return null;

            return Combine(loopComponents.ToArray());
        }

        Program()
        {
            Reflector rf = new Reflector
            {
                Pattern = Pattern.ReadRLE(
                    "x = 33, y = 54, rule = B3/S23",
                    "27bo$25b3o$24bo$24b2o2$7bo$7b3o$10bo$9b2o3$10b2o19b2o$10b2o19b2o8$3b2o",
                    "$2bo2bo2b2o$3b2o2bobo$5b2o16b2o$5bo17bo$2b2obo2bo15b3o$2bob2obobo16bo$",
                    "6bobo$3b2o2bo$b3ob2o$o$b3ob2o$3bob2o2$13b2o$13b2o7b2o$22bo$20bobo$20b",
                    "2o4$2o$2o5$16bo$15bobo$15bobo$16bo$17b3o$19bo!"),
                InPort = new Port { PosX = 13, PosY = 38, DirX = false, DirY = false },
                OutPort = new Port { PosX = 25, PosY = 14, DirX = true, DirY = true },
                Delay = 157
            };

            Reflector rfr = new Reflector
            {
                Pattern = Pattern.ReadRLE(
                    "x = 33, y = 54, rule = B3/S23",
                    "19bo$17b3o$16bo$15bobo$15bobo$16bo5$2o$2o4$20b2o$20bobo$22bo$13b2o7b2o",
                    "$13b2o2$3bob2o$b3ob2o$o$b3ob2o$3b2o2bo$6bobo$2bob2obobo16bo$2b2obo2bo",
                    "15b3o$5bo17bo$5b2o16b2o$3b2o2bobo$2bo2bo2b2o$3b2o8$10b2o19b2o$10b2o19b",
                    "2o3$9b2o$10bo$7b3o$7bo2$24b2o$24bo$25b3o$27bo!"),
                InPort = new Port { PosX = 13, PosY = 54 - 38 - 3, DirX = false, DirY = !false },
                OutPort = new Port { PosX = 25, PosY = 54 - 14 - 3, DirX = true, DirY = !true },
                Delay = 157
            };

            Reflector rl = new Reflector
            {
                Pattern = Pattern.ReadRLE(
                    "x = 36, y = 51, rule = B3/S23",
                    "16bo$16b3o$19bo$18bobo$18bobo$19bo5$34b2o$34b2o4$14b2o$13bobo$13bo$12b",
                    "2o7b2o$21b2o2$29b2obo$29b2ob3o$35bo$29b2ob3o$28bo2b2o$27bobo$9bo16bobo",
                    "b3o$9b3o15bo2bo2bo$12bo17bobobo$11b2o16b2o2bobo$26bobo2bobobo$26b2o2b",
                    "2ob2o3$33bo$31b3o$30bo$30b2o$bo$b3o$4bo$3bo$3b2o$b2o2bo$o2b3o$bo23bo$",
                    "2b4o6b2o3b2o5bobo$4bo7b2o3b2o6bo$6bo$5b2o!"),
                InPort = new Port { PosX = 20, PosY = 13, DirX = true, DirY = true },
                OutPort = new Port { PosX = 13, PosY = 38, DirX = false, DirY = false },
                Delay = 164
            };

            Reflector rm1 = new Reflector
            {
                Pattern = Pattern.ReadRLE(
                    "x = 19, y = 23, rule = B3/S23",
                    "15bo$13b3o$12bo$12b2o7$2b2o$bobo5b2o$bo7b2o$2o2$14bo$10b2obobo$9bobobo",
                    "bo$6bo2bobobobob2o$6b4ob2o2bo2bo$10bo4b2o$8bobo$8b2o!"),
                InPort = new Port { PosX = 9, PosY = 6, DirX = true, DirY = true },
                OutPort = new Port { PosX = 14, PosY = 8, DirX = true, DirY = false },
                Delay = 24
            };

            Reflector rm2 = new Reflector
            {
                Pattern = Pattern.ReadRLE(
                    "x = 19, y = 23, rule = B3/S23",
                    "8b2o$8bobo$10bo4b2o$6b4ob2o2bo2bo$6bo2bobobobob2o$9bobobobo$10b2obobo$",
                    "14bo2$2o$bo7b2o$bobo5b2o$2b2o7$12b2o$12bo$13b3o$15bo!"),
                InPort = new Port { PosX = 9, PosY = 14, DirX = true, DirY = false },
                OutPort = new Port { PosX = 14, PosY = 12, DirX = true, DirY = true },
                Delay = 24
            };

            Reflector rm3 = new Reflector
            {
                Pattern = Pattern.ReadRLE(
                    "x = 19, y = 23, rule = B3/S23",
                    "9b2o$8bobo$2b2o4bo$o2bo2b2ob4o$2obobobobo2bo$3bobobobo$3bobob2o$4bo2$",
                    "17b2o$8b2o7bo$8b2o5bobo$15b2o7$5b2o$6bo$3b3o$3bo!"),
                InPort = new Port { PosX = 7, PosY = 14, DirX = false, DirY = false },
                OutPort = new Port { PosX = 2, PosY = 12, DirX = false, DirY = true },
                Delay = 24
            };

            Reflector rm4 = new Reflector
            {
                Pattern = Pattern.ReadRLE(
                    "x = 19, y = 23, rule = B3/S23",
                    "3bo$3b3o$6bo$5b2o7$15b2o$8b2o5bobo$8b2o7bo$17b2o2$4bo$3bobob2o$3bobobo",
                    "bo$2obobobobo2bo$o2bo2b2ob4o$2b2o4bo$8bobo$9b2o!"),
                InPort = new Port { PosX = 7, PosY = 6, DirX = false, DirY = true },
                OutPort = new Port { PosX = 2, PosY = 8, DirX = false, DirY = false },
                Delay = 24
            };

            welds = new List<Weld>();
            welds.Add(new Weld
            {
                Reflector1 = rm2,
                Reflector2 = rl,
                Distance = 9,
                Result = Pattern.ReadRLE(
                    "x = 39, y = 59, rule = B3/S23",
                    "8b2o$8bobo$10bo4b2o$6b4ob2o2bo2bo$6bo2bobobobob2o$9bobobobo$10b2obobo$",
                    "14bo$19bo$2o17b3o$bo7b2o11bo$bobo5b2o10bobo$2b2o17bobo$22bo5$37b2o$12b",
                    "2o23b2o$12bo$13b3o$15bo$15bob2o$13b2obobo$13bo2bo$15b2o7b2o$24b2o2$32b",
                    "2obo$32b2ob3o$38bo$32b2ob3o$31bo2b2o$30bobo$12bo16bobob3o$12b3o15bo2bo",
                    "2bo$15bo17bobobo$14b2o16b2o2bobo$29bobo2bobobo$29b2o2b2ob2o3$36bo$34b",
                    "3o$33bo$33b2o$4bo$4b3o$7bo$6bo$6b2o$4b2o2bo$3bo2b3o$4bo23bo$5b4o6b2o3b",
                    "2o5bobo$7bo7b2o3b2o6bo$9bo$8b2o!"),
                OffsetX = 0,
                OffsetY = 0
            });
            welds.Add(new Weld
            {
                Reflector1 = rm4,
                Reflector2 = rf,
                Distance = 9,
                Result = Pattern.ReadRLE(
                    "x = 39, y = 62, rule = B3/S23",
                    "27bo$25b3o$24bo$24b2o2$7bo$7b3o$10bo$9b2o3$10b2o19b2o$10b2o19b2o8$3b2o",
                    "$2bo2bo2b2o$3b2o2bobo$5b2o16b2o$5bo17bo$2b2obo2bo15b3o$2bob2obobo16bo$",
                    "6bobo$3b2o2bo$b3ob2o$o$b3ob2o$3bob2o2$13b2o$13b2o7b2o$22bo2bo$20bobob",
                    "2o$20b2obo$23bo$23b3o$26bo$2o23b2o$2o5$16bo$15bobo17b2o$15bobo10b2o5bo",
                    "bo$16bo11b2o7bo$17b3o17b2o$19bo$24bo$23bobob2o$23bobobobo$20b2obobobob",
                    "o2bo$20bo2bo2b2ob4o$22b2o4bo$28bobo$29b2o!"),
                OffsetX = -20,
                OffsetY = -39
            });
            welds.Add(new Weld
            {
                Reflector1 = rm3,
                Reflector2 = rfr,
                Distance = 9,
                Result = Pattern.ReadRLE(
                    "x = 39, y = 62, rule = B3/S23",
                    "29b2o$28bobo$22b2o4bo$20bo2bo2b2ob4o$20b2obobobobo2bo$23bobobobo$23bob",
                    "ob2o$24bo$19bo$17b3o17b2o$16bo11b2o7bo$15bobo10b2o5bobo$15bobo17b2o$",
                    "16bo5$2o$2o23b2o$26bo$23b3o$23bo$20b2obo$20bobob2o$22bo2bo$13b2o7b2o$",
                    "13b2o2$3bob2o$b3ob2o$o$b3ob2o$3b2o2bo$6bobo$2bob2obobo16bo$2b2obo2bo",
                    "15b3o$5bo17bo$5b2o16b2o$3b2o2bobo$2bo2bo2b2o$3b2o8$10b2o19b2o$10b2o19b",
                    "2o3$9b2o$10bo$7b3o$7bo2$24b2o$24bo$25b3o$27bo!"),
                OffsetX = -20,
                OffsetY = 0
            });

            //var reflectors = new Reflector[] { rf, rm1, rm2, rl, rm3, rm4 };
            var reflectors = new Reflector[] { rfr, rm2, rm1, rm2, rl, rm3, rm4, rm3 };

            //var reflectors = new Reflector[] { rf, rm2, rm1, rm2, rm1, rm2, rm1, rl, rm4, rm3, rm4, rm3, rm4, rm3 };
            //var reflectors = new Reflector[] { rf, rm2, rm1, rm2, rm1, rm2, rlf, rm3, rm4, rm3, rm4, rm3 };


            var firstReflector = reflectors[0];
            initGlider = new Component(firstReflector.InPort.PosX, firstReflector.InPort.PosY, null);
            if (firstReflector.InPort.DirX == false && firstReflector.InPort.DirY == false)
                initGlider.Pattern = Pattern.GliderTop2;
            else if (firstReflector.InPort.DirX == false && firstReflector.InPort.DirY == true)
                initGlider.Pattern = Pattern.GliderBottom2;


            int period = 0;
            Pattern pattern = null;
            var rnd = new Random();

            int[] seedOffsets = null;
            if (true)
            {
                seedOffsets = new int[reflectors.Length];
                for (; ; )
                {
                    for (int j = 0; j < seedOffsets.Length; j++)
                    {
                        if (j == reflectors.Length / 2 - 1 || j == reflectors.Length - 1)
                            seedOffsets[j] = rnd.Next(9, 12);
                        else
                            seedOffsets[j] = rnd.Next(15, 35);
                    }
                    pattern = Build(reflectors, seedOffsets, ref period);
                    if (pattern != null)
                    {
                        Console.Write('.');
                        pattern = pattern.Normalize(period);
                        if (pattern != null)
                            break;
                    }
                }
                Console.WriteLine();
            }
            else
            {
                seedOffsets = new int[] { 23, 26, 20, 9, 34, 14, 26, 9 };
                pattern = Build(reflectors, seedOffsets, ref period).Normalize(period);
            }

            int area = pattern.Width * pattern.Height;

            var visited = new HashSet<int[]>(new IntArrayEqualityComparer());
            var bestArea = new Dictionary<int, int>();
            var bestResults = new Dictionary<int, List<int[]>>();

            visited.Add(seedOffsets);
            bestArea.Add(period, area);
            bestResults.Add(period, new List<int[]> { seedOffsets });

            var costsS = new WebClient().DownloadString(
                "https://catagolue.hatsya.com/textcensus/b3s23/synthesis-costs/gun");
            var costs = ParseCosts(costsS);

            for (int generation = 0; ; generation++)
            {
                var temp = bestResults.ElementAt(rnd.Next(bestResults.Count)).Value;
                int[] newOffsets = temp[rnd.Next(temp.Count)].ToArray();

                for (int j = 0; j < newOffsets.Length; j++)
                {
                    if (j != 5 && j != 11)
                        newOffsets[j] += rnd.Next(-2, 3);
                    else
                    {
                        newOffsets[j] += rnd.Next(-1, 2);
                        if (newOffsets[j] < 9)
                            newOffsets[j] = 9;
                    }
                }

                if (visited.Contains(newOffsets))
                    continue;

                visited.Add(newOffsets);

                pattern = Build(reflectors, newOffsets, ref period);
                if (pattern != null && period < 1500)
                {
                    Pattern norm = pattern.Normalize(period);
                    if (norm != null)
                    {
                        pattern = norm;
                        area = pattern.Width * pattern.Height;
                        if (bestResults.ContainsKey(period))
                        {
                            if (area < bestArea[period])
                            {
                                bestArea[period] = area;
                                bestResults[period] = new List<int[]> { newOffsets };
                                if (costs.ContainsKey(period) && costs[period] > area)
                                    pattern.WriteRLE($"gun_{period}.rle", $"Area: {area}");
                            }
                            else if (area == bestArea[period])
                                bestResults[period].Add(newOffsets);
                        }
                        else
                        {
                            bestArea.Add(period, area);
                            bestResults.Add(period, new List<int[]> { newOffsets });
                            if (costs.ContainsKey(period) && costs[period] > area)
                                pattern.WriteRLE($"gun_{period}.rle", $"Area: {area}");
                        }
                    }
                }

                if (generation % 500 == 0)
                {
                    Console.WriteLine($"Generation: {generation}");
                    foreach (var p in bestArea.Keys.OrderBy(x => x))
                    {
                        area = bestArea[p];
                        if (!costs.ContainsKey(p))
                            Console.ForegroundColor = ConsoleColor.Gray;
                        else if (costs[p] < area)
                            Console.ForegroundColor = ConsoleColor.Red;
                        else if (costs[p] == area)
                            Console.ForegroundColor = ConsoleColor.Yellow;
                        else
                            Console.ForegroundColor = ConsoleColor.Green;
                        Console.WriteLine($"p: {p}, a: {area}, o: {string.Join(",", bestResults[p][0])}");
                        Console.ForegroundColor = ConsoleColor.Gray;
                    }
                    Console.WriteLine();
                }
            }
        }

        static void Main()
        {
            new Program();
        }
    }
}
User avatar
Vort
Posts: 249
Joined: May 14th, 2024, 6:35 am

Re: Small Four-Digit Prime Period Guns

Post by Vort »

googoIpIex wrote: March 27th, 2019, 9:53 pm p7753 using a quadri-snark and a tremi-snark:

Code: Select all

x = 117, y = 120, rule = LifeHistory
36.A2.2A15.2A16.3A$36.4A.A14.A.A15.A3B$41.A16.A4.2A10.A3B$34.7A.2A10.
4A.2A2.A2.A9.4B$33.A2.B3.A.A2.A8.A2.A.A.A.A.2A10.4B$33.2A2.2A.AB2.2A
10.BABABA.A14.4B$28.2A6.B2AB2A15.B2ABA.A15.4B$28.A8.5B16.2B.BA17.4B$
30.A7.3B16.3B21.4B$26.5A6.5B6.2A6.4B22.4B$26.A9.4BAB7.A6.B2A3B21.4B$
28.B4A3.3BABA2B5.A.AB3.B2A3B22.4B$28.BA2.A2.4BABA2B6.2AB.10B21.4B$28.
4B4.4BA2B9.13B21.4B$24.2A3.15B8.14B21.4B$24.A2.A.2A14B7.15B21.4B$26.
2A.2A3BA11B8.8B2.4B21.4B$30.B.BABA11B7.6B5.4B21.4B$33.BA7B2.4B5.9B4.
4B20.4B$33.7B5.4B3.4B4.2A5.4B19.5B$33.9B4.4B.4B5.A7.4B17.9B$32.4B4.2A
5.7B7.3A5.4B16.9B$31.4B5.A7.5B10.A6.4B15.9B$30.4B7.3A4.5B18.4B13.10B$
29.4B10.A3.7B18.4B11.12B$28.4B14.4B.4B18.4B.3B6.13B$27.4B14.4B3.4B18.
8B6.11B$26.4B14.4B5.4B17.8B4.12B$25.4B14.4B7.4B10.A4.25B$24.4B14.4B9.
4B7.3A4.8B2C15B$23.4B14.4B11.4B5.A8.7B2C15B$22.4B14.4B13.4B4.2A9.23B.
B$21.4B5.A8.4B7.2A6.9B9.24B2A$20.4B4.5A4.5B5.2A2.A7.6B12.21B.B2A$19.
4B4.A5.A3.5B5.A3.A.2A5.6B3.B2.2B2.20B4.B$18.4B5.A2.3AB2.7B.BA.A4.A2.A
4.19BD16B$17.4B5.2A.A.2B3.7B.B2A6.2AB3.20BDBD14B$4.2A10.4B6.A2.4A12B
8.15B2A9B3D13B$5.A9.4B8.2A2.BA3B2A7B10.13B2A11BD13B2.A$3.A7.2B.4B5.2A
4.3AB.2B2A7B11.30B.8B2.3A$3.2A6.7B5.A5.A.B3.10B11.17B.B.2B10.7B5.A$.
2A2.BAB.2B2A6B.BA.A2.2A.A8.8B11.15B4.3B10.6B4.A.A$A2.4A3BA2BA5B.B2A3.
2A.2A7.9B10.15B5.A2B.2A6.7B3.A.AB$2A.A2.5B2A8B18.3B2.4B10.13B5.A.A2B.
A7.5B5.A3B$.A.A.2A14B16.5B3.4B11.13B2.A.AB2.A8.6B6.4B$.A.A.2AB.12B16.
2A7.4B9.8B4.2A.A.A3.A7.9B5.6B$2A.AB.B3.11B17.A8.4B8.6B6.2ABA2.4A.A5.
2A.7B4.7B$3.A8.B.3BA4B13.3A10.4B7.5B8.B2.A.A3.A.A5.A5.4B2.8B.A3B.B$3.
A.A8.2BABA5B11.A13.4B6.B.B9.2A.2A2.A2.A.A2.3A7.13BA3B.B2A$4.2A8.3BA7B
25.4B6.3B9.A.A2.2A3.A3.A10.15BA3BA$13.2B6.4B26.4B4.B2AB9.A.A22.16B.2B
$13.2A7.4B26.4B4.2A11.A23.6B2ABA3BABA$14.A8.4B26.4B40.7B2A6B$11.3A10.
4B26.4B37.2AB.10BAB$11.A13.4B26.4B35.A.AB2.8BABA$26.4B26.4B34.A5.6BAB
2A$27.4B26.4B32.2A5.6B3AB$28.4B26.4B37.8BA2B$29.4B26.4B37.10B$30.4B
26.4B36.8B.B2A.A$31.4B26.4B34.7B3.B2AB3A$32.4B26.4B33.6B6.B4.A$33.4B
26.4B33.6B4.2A.3A$34.4B26.2B2A32.5B4.A2.2A$35.4B26.2A2B30.8B.A.A$36.
4B26.BA2B29.8BA.A.2A.A$37.4B26.4B19.2A7.6B.2BAB.A.2A$38.4B26.4B19.A6.
2B3D2B2.2B2.A$39.4B26.4B18.A.AB3.4BD2B3.B.2A$40.4B26.4B18.2AB2.4B3DB
2.A.A2.2A$41.4B26.4B19.11B2.2A2.A2.A$42.4B26.4B18.11B7.2A$43.4B26.4B
17.11B$44.4B26.4B15.11B$45.4B26.4B15.7B.2B$46.4B26.4B14.11B$47.4B26.
4B14.10B$48.4B26.4B13.12B$49.4B26.4B13.13B$50.4B26.4B9.17B$51.4B26.4B
7.18B$52.4B26.4B5.2B2A13B.B2A$53.4B26.4B5.B2A6B.4B3.BA.A$54.4B26.4B3.
8B4.B8.A$55.4B26.4B2.6B15.2A$56.4B26.4B.7B$57.4B26.4B.6B$58.4B26.9B$
59.4B26.8B$60.4B26.8B$61.4B26.7B8.A$62.4B26.6B6.3A$63.4B25.2B3D2B4.A$
64.4B24.2BD4B4.2A$65.4B23.B3D4B.4B$66.4B22.11B$67.4B21.12B$68.4B20.
12B$69.4B20.11B$70.4B22.7B$71.4B12.B7.8B$72.2B2A9.7B.9B$73.BABA7.18B
2.2A$74.A3B5.19B.B.A$75.4B4.21B.A.2A$76.4B3.21B2A.A$77.4B2.21B.B.A$
78.8B3A6B.8B2A.A.2A$73.2A4.7BABA5B3.8BABA2.A$73.A.A2.7BA2BA2B7.7BA2.A
$75.A2.7BAB2A2B11.B.2B2A$75.2A8BAB2A3B4.A4.A2.A.A$73.2A2.10B2A2B3.3A
4.4A3.A$72.A2.4AB3.2BABA4B.A11.4A$73.2A2.BAB4.2BA6B.A8.2A$75.2A7.8B.
2A8.A2.A$75.A8.7B14.2A$77.A6.6B$76.2A6.5B$85.3B!
Here is my modification of this idea (gun_5303, 14883 -> 11979):

Code: Select all

x = 121, y = 99, rule = LifeHistory
79.2A$79.A.A$81.A4.2A$77.4A.2A2.A2.A$77.A2.A.A.A.A.2A$79.BABABA.A$80.
B2ABA.A$81.2B.BA$80.3B$71.2A6.4B$72.A6.2BA3B25.A$72.A.AB3.B3A2B24.A.A
$73.2AB.2B5A3B22.A.A$75.3B2A3B2A3B20.2A.3A$75.2B3A3B3A3B7.2A11.B4.A$
75.3B2A3B2A5B5.B2AB4.2B2.B2AB3A$22.2A11.A41.2B5AB2.4B3.7B.6B2A.A$21.B
2AB9.A.A40.3B3A5.22B$22.3B9.A.A2.2A3.A31.5B3AB4.19B$21.B.B9.2A.2A2.A
2.A.A29.4B4.2A5.19B$21.5B8.B2.A.A3.A.A28.4B5.A7.18B$21.6B6.2ABA2.4A.A
28.4B7.3A3.19B$21.8B4.2A.A.A3.A29.4B10.A2.20B.2B$22.13B2.A.AB2.A15.2A
7.B2.4B14.22B2A$20.13B5.A.A2B.A14.A6.8B15.13BA6B.B2A$19.15B5.A2B.2A
11.BA.A4.9B14.14BABA5B2.B$19.15B4.3B12.2A.B2A5.8B15.14BA2BA5B$18.17B.
B.2B12.B2A2B6.8B15.16B2A5B$18.29B6.4B5.10B13.2AB2.19B$17.13B2A11BD4B
3.6B5.9B13.A.AB2.20B$16.14B2A9B3D4B2.6B7.7B8.2A4.A4.3B.16B2A$15.2AB3.
20BDBD4B.7B5.9B7.B2AB2.2A3.21B2A$14.A2.A4.19BD15B3.11B7.2B8.10B2.7B.
2B$13.A.2A5.6B3.B2.2B2.20B2.12B7.2B7.10B2.6B$13.A7.6B14.30B6.2B2AB8.
8B3.4B$12.2A6.9B14.29B2.2B.BAB.A8.4B.2B3.2B$19.2A2B4.2A15.33B.A.A10.
3B5.B2AB$18.ABAB5.A15.33BA.A.A.A8.4B5.2A$17.3BA7.3A12.32BABA.A.A.A8.
4B13.A$16.4B10.A10.2AB.3B2.23B2.BA2.A2.A10.4B10.3A$3.2A10.4B21.A.AB6.
22B4.B2A.2A12.4B8.A$4.A9.4B22.A8.24B5.A.A14.4B7.2A$2.A10.4B22.2A7.24B
6.A.A15.4B3.5B$2.5A5.4B5.2A25.9B4.9B9.A17.4B2.3B9.2A$7.A4.4B5.A24.2AB
2.6B6.7B28.9B8.A.A$4.3AB2.7B.BA.A23.A.AB3.B.B7.9B11.A16.8B.B8.A$3.A.
2B3.7B.B2A21.A2.A7.3B6.10B8.3A17.11B3.B.BA.2A$3.4A12B22.A.A.A6.B2AB7.
8B8.A20.12B.B2A.A.A$.2A2.BA3B2A7B21.A2.A.2A5.B2AB8.8B7.2A19.14B2A.A.A
$A2.3AB.2B2A7B9.A3.A3.2A2.A.A2.A2.A3.3B9.9B3.5B19.8B2A5B2.A.2A$2A.A.B
3.10B7.3A2.A.A2.A2.2A.2A3.2A4.B.B10.8B2.3B19.2AB.5BA2BA3B4A2.A$3.A8.
8B5.A5.A.A3.A.A2.B8.5B12.B2.9B7.2A.2A5.A.AB.6B2A2B.BAB2.2A$3.2A7.12B.
2A5.A.4A2.AB2A6.6B16.8B8.A.2A5.A5.7B6.2A$13.3B2.9B7.A3.A.A.2A4.8B17.
10B3.B.A7.2A5.4B.2B7.A$11.5B3.6B8.A2.BA.A2.13B18.7B2A2B.B3A13.4B9.A$
11.2A7.5B7.A.2BA.A5.13B16.7B2A3BAB2.2A10.4B10.2A$12.A6.7B6.2A.2BA5.
15B15.12B4A2.A8.4B$9.3A8.6B10.3B4.15B13.2AB.7B3.2B.A.2A7.4B$9.A10.7B
10.2B.B.17B11.A.AB.7B2.B3A2.A7.4B$20.8B2.29B11.A5.4B4.A5.A6.4B$20.13B
D11B2A13B9.2A5.4B5.5A6.4B$20.13B3D9B2A14B14.BA2B8.A7.4B$19.14BDBD20B
3.B2A12.2A2B16.4B$19.16BD19B4.A2.A10.2B2A16.4B$14.B4.20B2.2B2.B3.6B5.
2A.A8.4B16.4B$13.2AB.21B12.6B7.A7.4B16.4B$13.2A24B9.9B6.2A5.4B16.4B$
14.B.23B9.2A4.4B11.4B16.4B$17.15B2A7B8.A5.4B9.4B16.4B$17.15B2A8B4.3A
7.4B7.4B16.4B$17.25B4.A10.4B5.4B16.4B$17.12B4.8B17.4B3.4B16.4B$16.11B
6.8B18.4B.4B16.4B$15.13B6.3B.4B18.7B16.4B$16.12B11.4B18.5B5.A10.4B$
17.10B13.4B6.A10.5B5.3A7.4B$17.9B15.4B5.3A7.7B7.A5.4B$17.9B16.4B7.A5.
4B.4B5.2A4.4B$17.9B17.4B5.2A4.4B3.4B4.9B$20.5B19.4B4.9B5.4B5.6B$21.4B
20.4B5.6B7.4B2.8B$21.4B21.4B2.8B8.15B$22.4B21.15B7.14B$23.4B21.14B8.
13B$24.4B21.13B9.10B.B2A$25.4B21.10B.B2A8.2BA4B3.BA.A$26.4B22.3B2AB3.
BA.A6.2BABA4B5.A$27.4B21.3B2AB6.A6.2BABA3B6.2A$28.4B22.4B6.2A7.BA4B$
29.4B21.3B16.5B$30.4B17.AB.2B18.3B$31.4B15.A.AB2AB16.5B$32.4B14.A.ABA
BAB15.2AB2AB$33.4B10.2A.A.A.A.A2.A9.2A2.BA.2A2.2A$34.4B9.A2.A2.2A.4A
9.A2.A.A3.B2.A$35.4B10.2A4.A15.2A.7A$36.3BA15.A.A15.A$37.3BA15.2A15.A
.4A$38.3AB32.2A2.A!
AbhpzTa
Posts: 627
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: Small Four-Digit Prime Period Guns

Post by AbhpzTa »

ElijahKen wrote: November 22nd, 2024, 10:07 pmReduction to the prime gun_1987 (13110 -> 11615):

Code: Select all

x = 115, y = 101, rule = B3/S23
40b2o$39bobo$33b2o4bo$31bo2bo2b2ob4o$31b2obobobobo2bo$34bobobobo$34bob
ob2o$35bo2$48b2o$39b2o7bo$39b2o5bobo$46b2o4$41b2o$14b2o25bobo$14bo26bo
$9b2o5bo19b2o$9bo5b2o20bo$6b2obo24b3o$6bo2bob2o2b2o17bo$8b2obo3b2o$11b
o64bo11b2o$11b2o62bobo10b2o$4b2o11bo14b2o29bo3bo3b2o2bobo$3bobo10bobo
13bobo26b3o2bobo2bo2b2ob2o$3bo13bo16bo4b2o19bo5bobo3bobo$2obo26b4ob2o
2bo2bo17b2o5bob4o2bob2o$bobob2o23bo2bobobobob2o26bo3bobob2o$bobob2o26b
obobobo28bo3bobo$2obo7b2o21b2obobo27bo3bobo$o2b4o3bo2bo7b2o15bo28b2o3b
o$b2o3bo4b2o8bobob2o$3b2o18bobo$3bo19bobo7b2o$5bo16b2obobo5b2o45b2o$4b
2o20b2o52b2o$95b2o$94bo2bo$95b2obo$48b2o48bo$48b2o48b2o$83b2o$36b2o46b
o$36bo3bo40b3o$37b4o28b2o10bo$69bobo$35b4o32bo$35bo2b3o30b2o$41bo68b2o
$40bobo67bo$40bobo69bo$41bo50b2o14b5o$93bo13bo$93bobo12b3o$94b2o15bo$
108b4o$4bo98b2o3bo3b2o$4b3o96b2o4b3o2bo$7bo103bob2o$6b2o15b2o86bo$22bo
bo85b2o$2b2o14b2o2bo13b2o$bo2bo13bobob2o11bobo$bob2o14b2obo2bo9bo66b2o
$2o22b2o8b2o7b2o57bo$o2b2o38b2o58b3o$b2o2bo75bo23bo$3b2obo15b2o27b2obo
24b3o$b2o2bo5bo10b2o27b2ob3o21bo$o2bo6bobo44bo20b2o$b2o7bobo38b2ob3o$
11bo38bo2b2o$21b2o26bobo$22bo8bo16bobob2obo$5b2o12b3o9b3o15bo2bob2o$5b
2o12bo14bo17bo$20b2o11b2o16b2o15b2o$21bo26bobo2b2o12bobo5b2o$20bo27b2o
2bo2bo11bo7b2o$20b2o31b2o11b2o2$17b2o61bo$17bobo34b2o20b2obobo$17bo36b
o20bobobobo$52bobo17bo2bobobobob2o$52b2o18b4ob2o2bo2bo$76bo4b2o$74bobo
$25bobo46b2o$26b2o6bo$26b2o5bo2$31bo$30bo2bo$30bobo$31bo25bo$38b2o18bo
$38b2o16b3o!
Reductions to guns for the following periods, based on that (p3271+8N, replacing the topmost snark with a CP semi-snark):
p==23(mod 56) : 3271 3607 3719 3943 4111 4951
p==31(mod 56) : 3391 3559 3671 3727 4007 4231
p==39(mod 56) : 3343 3511 3623 3847 4127
p==47(mod 56) : 3407 3463 3631 3911 3967 4079
p==55(mod 56) : 3359 3527 3583 3863 3919
p==15(mod 56) : 3319 3767 3823 4271 4327

Code: Select all

x = 6049, y = 135, rule = LifeHistory
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147.D.3D3.D.D149.D.3D.3D3.D16$40.2A158.2A158.2A158.2A158.2A158.2A318.
2A158.2A158.2A158.2A158.2A158.2A318.2A158.2A158.2A158.2A158.2A318.2A
158.2A158.2A158.2A158.2A158.2A318.2A158.2A158.2A158.2A158.2A318.2A
158.2A158.2A158.2A158.2A$39.A.A157.A.A157.A.A157.A.A157.A.A157.A.A
317.A.A157.A.A157.A.A157.A.A157.A.A157.A.A317.A.A157.A.A157.A.A157.A.
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153.2A4.A153.2A4.A153.2A4.A153.2A4.A313.2A4.A153.2A4.A153.2A4.A153.2A
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4.A153.2A4.A153.2A4.A153.2A4.A313.2A4.A153.2A4.A153.2A4.A153.2A4.A
153.2A4.A$31.A2.A2.2A.4A147.A2.A2.2A.4A147.A2.A2.2A.4A147.A2.A2.2A.4A
147.A2.A2.2A.4A147.A2.A2.2A.4A307.A2.A2.2A.4A147.A2.A2.2A.4A147.A2.A
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147.A2.A2.2A.4A147.A2.A2.2A.4A$31.2A.A.A.A.A2.A4.2A141.2A.A.A.A.A2.A
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141.2A.A.A.A.A2.A4.2A141.2A.A.A.A.A2.A4.2A$34.A.ABABAB7.A144.A.ABABAB
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A146.A.AB2AB6.A146.A.AB2AB6.A146.A.AB2AB6.A$35.AB.2B7.5A143.AB.2B7.5A
143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A303.AB.2B7.5A143.
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2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A303.AB.2B7.
5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A
303.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A303.
AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A143.AB.2B7.5A$38.3B
10.A146.3B10.A146.3B10.A146.3B10.A146.3B10.A146.3B10.A306.3B10.A146.
3B10.A146.3B10.A146.3B10.A146.3B10.A146.3B10.A306.3B10.A146.3B10.A
146.3B10.A146.3B10.A146.3B10.A306.3B10.A146.3B10.A146.3B10.A146.3B10.
A146.3B10.A146.3B10.A306.3B10.A146.3B10.A146.3B10.A146.3B10.A146.3B
10.A306.3B10.A146.3B10.A146.3B10.A146.3B10.A146.3B10.A$38.4B3.4AB148.
4B3.4AB148.4B3.4AB148.4B3.4AB148.4B3.4AB148.4B3.4AB308.4B3.4AB148.4B
3.4AB148.4B3.4AB148.4B3.4AB148.4B3.4AB148.4B3.4AB308.4B3.4AB148.4B3.
4AB148.4B3.4AB148.4B3.4AB148.4B3.4AB308.4B3.4AB148.4B3.4AB148.4B3.4AB
148.4B3.4AB148.4B3.4AB148.4B3.4AB308.4B3.4AB148.4B3.4AB148.4B3.4AB
148.4B3.4AB148.4B3.4AB308.4B3.4AB148.4B3.4AB148.4B3.4AB148.4B3.4AB
148.4B3.4AB$36.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB
3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB306.3B2AB3.A2.AB146.3B2AB3.A2.
AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB
306.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.
3B2AB3.A2.AB306.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB
3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB306.3B2AB3.A2.AB146.3B2AB3.A2.
AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB306.3B2AB3.A2.AB
146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB146.3B2AB3.A2.AB$36.
3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2A
B4.4B306.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.
4B146.3B2AB4.4B306.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B
146.3B2AB4.4B306.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.
3B2AB4.4B146.3B2AB4.4B306.3B2AB4.4B146.3B2AB4.4B146.3B2AB4.4B146.3B2A
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4B146.3B2AB4.4B$34.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A140.15B3.
2A140.15B3.2A300.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A
140.15B3.2A300.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A
300.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A
300.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A300.15B3.2A
140.15B3.2A140.15B3.2A140.15B3.2A140.15B3.2A$33.14B2A.A2.A139.14B2A.A
2.A139.14B2A.A2.A139.14B2A.A2.A139.14B2A.A2.A139.14B2A.A2.A299.14B2A.
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14B2A.A2.A139.14B2A.A2.A299.14B2A.A2.A139.14B2A.A2.A139.14B2A.A2.A
139.14B2A.A2.A139.14B2A.A2.A299.14B2A.A2.A139.14B2A.A2.A139.14B2A.A2.
A139.14B2A.A2.A139.14B2A.A2.A$32.15B2A.2A140.15B2A.2A140.11BA3B2A.2A
140.11BA3B2A.2A140.11BA3B2A.2A140.11BA3B2A.2A300.15B2A.2A140.15B2A.2A
140.15B2A.2A140.15B2A.2A140.11BA3B2A.2A140.11BA3B2A.2A300.15B2A.2A
140.15B2A.2A140.15B2A.2A140.11BA3B2A.2A140.11BA3B2A.2A300.15B2A.2A
140.15B2A.2A140.15B2A.2A140.11BA3B2A.2A140.11BA3B2A.2A140.11BA3B2A.2A
300.15B2A.2A140.15B2A.2A140.15B2A.2A140.11BA3B2A.2A140.11BA3B2A.2A
300.15B2A.2A140.15B2A.2A140.15B2A.2A140.11BA3B2A.2A140.11BA3B2A.2A$
31.15B.B143.15B.B143.11BABAB.B143.11BABAB.B143.11BABAB.B143.11BABAB.B
303.15B.B143.15B.B143.15B.B143.10B3A2B.B143.11BABAB.B143.11BABAB.B
303.15B.B143.15B.B143.15B.B143.11BABAB.B143.11BABAB.B303.15B.B143.15B
.B143.15B.B143.11BABAB.B143.11BABAB.B143.11BABAB.B303.15B.B143.15B.B
143.15B.B143.11BABAB.B143.11BABAB.B303.15B.B143.15B.B143.10B3A2B.B
143.11BABAB.B143.11BABAB.B$30.4B2.9B145.4B2.9B145.4B2.7BAB145.4B2.7BA
B145.4B2.7BAB145.4B2.7BAB305.4B2.9B145.4B2.9B145.4B2.9B145.4B2.5B2A2B
145.4B2.7BAB145.4B2.7BAB305.4B2.9B145.4B2.9B145.4B2.9B145.4B2.7BAB
145.4B2.7BAB305.4B2.9B145.4B2.9B145.4B2.9B145.4B2.7BAB145.4B2.7BAB
145.4B2.7BAB305.4B2.9B145.4B2.9B145.4B2.9B145.4B2.7BAB145.4B2.7BAB
305.4B2.9B145.4B2.9B145.4B2.5B2A2B145.4B2.7BAB145.4B2.7BAB$14.2A13.4B
5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.
2A13.4B5.7B289.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.
7B129.2A13.4B5.7B129.2A13.4B5.7B289.2A13.4B5.7B129.2A13.4B5.7B129.2A
13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B289.2A13.4B5.7B129.2A13.4B5.7B
129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B289.2A13.
4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B
289.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.4B5.7B129.2A13.
4B5.7B$14.A13.4B4.9B129.A13.4B4.9B129.A13.4B4.7B2A129.A13.4B4.9B129.A
13.4B4.9B129.A13.4B4.9B289.A13.4B4.9B129.A13.4B4.9B129.A13.4B4.9B129.
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9B129.A13.4B4.9B129.A13.4B4.9B129.A13.4B4.9B129.A13.4B4.9B289.A13.4B
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4B4.9B129.A13.4B4.9B129.A13.4B4.9B129.A13.4B4.9B129.A13.4B4.9B$9.2A5.
A10.4B5.2A4.4B123.2A5.A10.4B5.2A4.4B123.2A5.A10.4B5.2A4.BABA123.2A5.A
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283.2A5.A10.4B5.2A4.4B123.2A5.A10.4B5.2A4.4B123.2A5.A10.4B5.2A4.4B
123.2A5.A10.4B5.2A4.4B123.2A5.A10.4B5.2A4.4B$9.A5.2A9.4B7.A5.4B122.A
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7.A5.4B122.A5.2A9.4B7.A5.4B282.A5.2A9.4B7.A5.4B122.A5.2A9.4B7.A5.4B
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122.A5.2A9.4B7.A5.4B$6.2A.A.3B11.4B5.3A7.4B118.2A.A.3B11.4B5.3A7.4B
118.2A.A.3B11.4B5.3A7.4B118.2A.A.3B11.4B5.3A7.4B118.2A.A.3B11.4B5.3A
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7.4B$6.A2.A.2A2B2A7.4B6.A10.4B117.A2.A.2A2B2A7.4B6.A10.4B117.A2.A.2A
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2A7.4B6.A10.4B$8.2A.A.2B2AB5.4B19.4B118.2A.A.2B2AB5.4B19.4B118.2A.A.
2B2AB5.4B19.4B118.2A.A.2B2AB5.4B19.4B118.2A.A.2B2AB5.4B19.4B118.2A.A.
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2A.A.2B2AB5.4B19.4B$11.A.4B5.4B21.4B25.A11.2A81.A.4B5.4B21.4B25.A11.
2A81.A.4B5.4B21.4B25.A11.2A81.A.4B5.4B21.4B25.A11.2A81.A.4B5.4B21.4B
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280.A.4B5.4B21.4B120.A.4B5.4B21.4B120.A.4B5.4B21.4B120.A.4B5.4B21.4B
120.A.4B5.4B21.4B280.A.4B5.4B21.4B120.A.4B5.4B21.4B120.A.4B5.4B21.4B
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4B120.A.4B5.4B21.4B120.A.4B5.4B21.4B120.A.4B5.4B21.4B120.A.4B5.4B21.A
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4B120.A.4B5.4B21.4B$11.2A.4B3.4B23.4B23.A.A9.B2AB80.2A.4B3.4B23.4B23.
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25.A11.2A$3.A8.B.3BA4B12.A4.2A10.4B5.A5.A.A3.A.A2.B8.5B72.A8.B.3BA4B
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29B70.A9.4B7.A6.B2A3B17.6B4.29B70.A9.4B7.A6.B2A3B17.3B3A4.29B230.A9.
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4BAB10.3B4.15B$4.2A10.4B6.2AB.10B15.7B2.16B2A14B68.2A10.4B6.2AB.10B
15.7B2.16B2A14B68.2A10.4B6.2AB.10B15.7B2.16B2A14B68.2A10.4B6.2AB.10B
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29B68.2A10.4B6.2AB.10B17.6B4.29B68.2A10.4B6.2AB.10B17.6B4.29B68.2A10.
4B6.2AB.10B17.6B4.29B228.2A10.4B6.2AB.10B18.7B10.2B.B.17B67.2A10.4B6.
2AB.10B18.7B10.2B.B.17B67.2A10.4B6.2AB.10B18.7B10.2B.B.17B67.2A10.4B
6.2AB.10B18.7B10.2B.B.17B67.2A10.4B6.2AB.10B18.4BA2B10.2B.B.17B$17.4B
7.13B13.9B.27B3.B2A80.4B7.13B13.9B.27B3.B2A80.4B7.13B13.9B.27B3.B2A
80.4B7.13B13.9B.27B3.B2A80.4B7.13B13.A3B2A3B.27B3.B2A80.4B7.13B13.9B.
5BA3BA17B3.B2A240.4B6.2AB.10B15.7B2.16B2A14B80.4B6.2AB.10B15.7B2.16B
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15.7B2.16B2A14B80.4B7.13B15.7B2.16B2A14B80.4B7.13B15.7B2.16B2A14B80.
4B7.13B15.7B2.16B2A14B80.4B7.13B15.3B2A2B2.16B2A14B240.4B6.2AB.10B16.
7B2.16B2A13B80.4B6.2AB.10B16.7B2.16B2A13B80.4B6.2AB.10B16.7B2.16B2A
13B80.4B6.2AB.10B16.7B2.16B2A13B80.4B6.2AB.10B16.7B2.16B2A13B80.4B6.
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7B2.16B2A13B240.4B7.13B17.6B4.29B80.4B7.13B17.6B4.29B80.4B7.13B17.6B
4.29B80.4B7.13B17.6B4.29B80.4B7.13B17.6B4.29B$18.4B6.14B12.36B4.A2.A
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3.B2A80.4B7.13B13.9B.27B3.B2A80.4B7.13B13.9B.27B3.B2A80.4B7.13B13.9B.
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14B13.9B.27B3.B2A80.4B6.14B13.9B.27B3.B2A80.4B6.14B13.9B.27B3.B2A80.
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16B2A14B80.4B7.13B15.7B2.16B2A14B80.4B7.13B15.7B2.16B2A14B80.4B7.13B
15.7B2.16B2A14B80.4B7.13B15.7B2.16B2A14B80.4B7.13B15.7B2.16B2A14B240.
4B6.14B15.7B2.16B2A14B80.4B6.14B15.7B2.16B2A14B80.4B6.14B15.7B2.16B2A
14B80.4B6.14B15.7B2.16B2A14B80.4B6.14B15.7B2.16B2A14B240.4B6.14B16.7B
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14B16.7B2.16B2A13B80.4B6.14B16.7B2.16B2A13B$19.4B5.15B6.B4.20B2.2B2.B
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36B4.A2.A80.4B6.14B12.36B4.A2.A80.4B6.14B12.36B4.A2.A80.4B6.14B12.36B
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36B4.A2.A80.4B5.15B12.36B4.A2.A80.4B5.15B12.36B4.A2.A80.4B5.15B12.36B
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27B3.B2A80.4B6.14B13.9B.27B3.B2A80.4B6.14B13.9B.27B3.B2A80.4B6.14B13.
9B.27B3.B2A80.4B6.14B13.9B.27B3.B2A240.4B5.15B13.9B.27B3.B2A80.4B5.
15B13.9B.27B3.B2A80.4B5.15B13.9B.27B3.B2A80.4B5.15B13.9B.27B3.B2A80.
4B5.15B13.9B.27B3.B2A240.4B5.15B15.7B2.16B2A14B80.4B5.15B15.7B2.16B2A
14B80.4B5.15B15.7B2.16B2A14B80.4B5.15B15.7B2.16B2A14B80.4B5.15B15.3B
2A2B2.16B2A14B$20.4B6.8B2.4B4.2AB.19B14.6B7.A81.4B6.8B2.4B4.2AB.19B
14.6B7.A81.4B6.8B2.4B4.2AB.19B14.6B7.A81.4B6.8B2.4B4.2AB.2B2ABA13B14.
6B7.A81.4B6.8B2.4B4.2AB.3BA3BA11B14.6B7.A81.4B6.8B2.4B4.2AB.19B14.6B
7.A241.4B5.15B6.B4.20B2.2B2.B3.6B5.2A.A80.4B5.15B6.B4.20B2.2B2.B3.6B
5.2A.A80.4B5.15B6.B4.20B2.2B2.B3.6B5.2A.A80.4B5.15B6.B4.20B2.2B2.B3.
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24.4A.2A2.A2.A254.5BA8B11.4B131.5BA8B11.4B131.5BA8B11.4B131.5BA8B11.
4B23.2A106.5BA8B11.4B24.A.A104.5BA8B11.4B24.4A.2A2.A2.A254.5BA8B11.4B
131.5BA8B11.4B131.5BA8B11.4B131.5BA8B11.4B131.5BA8B11.4B23.2A267.17B
5.B.4B132.17B5.B.4B132.17B5.B.4B132.17B5.B.4B32.2B.BA95.17B5.B.4B32.
3B$31.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA133.A6.
2B14.3BA24.A.A106.B6.2B14.4B37.8B2.4B242.ABA4.2B14.4B133.ABA4.2B14.4B
133.ABA4.2B14.4B133.ABA4.2B14.4B133.ABA4.2B14.4B23.2A108.3B4.2B14.4B
25.A2.A.A.A.A.2A255.ABA4.2B14.4B133.ABA4.2B14.4B133.ABA4.2B14.4B133.A
BA4.2B14.4B133.ABA4.2B14.4B27.A4.2A256.4BA2BA6B12.4B130.4BA2BA6B12.4B
130.4BA2BA6B12.4B130.4BA2BA6B12.4B130.4BA2BA6B12.4B23.2A105.4BA2BA6B
12.4B27.A4.2A256.4BA2BA6B12.4B130.4BA2BA6B12.4B130.4BA2BA6B12.4B130.
4BA2BA6B12.4B130.4BA2BA6B12.4B291.5BA8B11.4B131.5BA8B11.4B131.5BA8B
11.4B131.14B11.4B30.B2ABA.A94.14B11.4B32.2B.BA$37.B2AB14.3BA138.B2AB
14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA23.2A113.B2AB14.4B34.
15B244.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA133.A
6.2B14.3BA133.B6.2B14.4B24.4A.2A2.A2.A256.A6.2B14.3BA133.A6.2B14.3BA
133.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA24.A.A266.ABA4.2B14.4B
133.ABA4.2B14.4B133.ABA4.2B14.4B133.ABA4.2B14.4B133.ABA4.2B14.4B133.A
BA4.2B14.4B24.A.A266.ABA4.2B14.4B133.ABA4.2B14.4B133.ABA4.2B14.4B133.
ABA4.2B14.4B133.ABA4.2B14.4B290.4BA2BA6B12.4B130.4BA2BA6B12.4B130.4BA
2BA6B12.4B130.14B12.4B28.BABABA.A94.14B12.4B30.B2ABA.A$38.2A16.3AB
138.2A16.3AB138.2A16.3AB138.2A16.3AB138.2A16.3AB138.2A16.4B33.14B251.
B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA
138.B2AB14.3BA27.A4.2A264.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B
2AB14.3BA138.B2AB14.3BA23.2A268.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B
14.3BA133.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA23.2A268.A6.2B14.
3BA133.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA293.AB
A4.2B14.4B133.ABA4.2B14.4B133.ABA4.2B14.4B133.3B4.2B14.4B25.A2.A.A.A.
A.2A95.3B4.2B14.4B28.BABABA.A$857.4B32.13B253.2A16.3AB138.2A16.3AB
138.2A16.3AB138.2A16.3AB138.2A16.3AB138.2A16.3BA24.A.A271.2A16.3AB
138.2A16.3AB138.2A16.3AB138.2A16.3AB138.2A16.3AB298.B2AB14.3BA138.B2A
B14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA298.B
2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA293.
A6.2B14.3BA133.A6.2B14.3BA133.A6.2B14.3BA133.B6.2B14.4B24.4A.2A2.A2.A
96.B6.2B14.4B25.A2.A.A.A.A.2A$858.4B29.2AB.10B1073.3AB23.2A1233.2A16.
3AB138.2A16.3AB138.2A16.3AB138.2A16.3AB138.2A16.3AB138.2A16.3AB298.2A
16.3AB138.2A16.3AB138.2A16.3AB138.2A16.3AB138.2A16.3AB298.B2AB14.3BA
138.B2AB14.3BA138.B2AB14.3BA138.B2AB14.3BA27.A4.2A104.B2AB14.4B24.4A.
2A2.A2.A$859.4B27.A.AB3.B2A3B4418.2A16.3AB138.2A16.3AB138.2A16.3AB
138.2A16.3BA24.A.A111.2A16.3BA27.A4.2A$860.4B26.A6.B2A3B4917.3AB23.2A
131.3BA24.A.A$861.4B24.2A6.4B5080.3AB23.2A$862.4B32.3B$863.4B32.2B.BA
$864.4B30.B2ABA.A$865.4B28.BABABA.A$866.4B25.A2.A.A.A.A.2A$867.4B24.
4A.2A2.A2.A$868.3BA27.A4.2A$869.3BA24.A.A$870.3AB23.2A!
Previous guns:

Code: Select all

x = 6046, y = 146, rule = LifeHistory
3D.3D.3D.D147.3D.3D.3D.3D145.3D.3D.D.3D147.3D.3D.D.D.3D145.D.D.D.D.D
151.D.D.3D.3D.D307.3D.3D.3D.D147.3D.3D.3D.3D145.3D.3D.3D.D147.3D.3D.
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.3D.3D.3D145.3D.3D.3D.3D145.3D.3D.3D.3D145.3D.3D.3D.3D145.3D.3D.D.3D
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.3D.3D$2.D3.D3.D.D149.D.D3.D.D3.D147.D3.D.D.D.D149.D.D.D.D.D3.D145.D.
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D3.D.D.D.D149.D3.D.D5.D147.D.D.D3.D3.D145.D.D3.D3.D.D147.D.D3.D3.D3.D
$3D.3D3.D.D147.3D.3D.D.D3.D145.3D3.D.D.3D147.3D.3D.3D.3D145.3D.D.D.D
151.3D.3D.3D.D307.3D.3D.3D.D147.3D.3D.3D.3D145.3D.3D3.D.D147.3D3.D.3D
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145.3D.3D.3D.D147.3D.3D.D.D149.3D.3D.3D3.D145.3D.D.D3.D.3D305.3D.3D.
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3D.3D.D.3D147.3D3.D.3D3.D145.3D.3D.3D.3D145.3D.3D3.D.D147.3D.3D.3D3.D
$2.D.D5.D.D149.D.D.D.D.D3.D147.D3.D.D3.D149.D3.D3.D3.D147.D.D.D.D153.
D3.D3.D.D309.D3.D3.D.D149.D3.D3.D3.D147.D.D.D3.D.D149.D3.D.D5.D147.D.
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3.D.D.D151.D3.D.D.D3.D147.D.D.D3.D3.D307.D3.D3.D3.D147.D3.D.D5.D147.D
3.D.D.D3.D147.D.D.D.D.D3.D147.D3.D.D3.D309.D3.D.D3.D149.D3.D.D.D3.D
147.D.D.D.D5.D147.D.D5.D.D149.D3.D.D5.D$3D.3D3.D.D147.3D.3D.3D3.D145.
3D3.D.D.3D147.3D.3D3.D.3D147.D.D.D.D153.D.3D.3D.D307.3D.3D.3D.D147.3D
.3D.3D.3D145.3D.3D3.D.D147.3D3.D.3D3.D147.D.3D.3D3.D147.D.3D.3D.D307.
3D.3D3.D.3D145.3D.3D.D.D149.3D.3D.3D.3D145.3D.3D3.D3.D147.D.D.3D3.D
307.3D3.D.3D3.D145.3D3.D.3D.3D145.3D.3D.3D.D147.3D.3D.D.D149.3D.3D.3D
3.D147.D.3D3.D.3D305.3D.3D.3D.3D145.3D.3D.3D3.D145.3D.3D.3D.3D145.3D.
3D.3D.3D145.3D.3D.D.3D307.3D.3D.D.3D147.3D3.D.3D3.D145.3D.3D.3D.3D
147.D.3D3.D.D149.D.3D.3D3.D16$58.A11.2A127.A45.A113.A45.A142.2A174.2A
132.A11.2A341.2A104.A45.A113.A45.A113.A45.A103.3B58.2A3.2A152.2A319.
2A107.A45.A113.A45.A142.2A176.2A324.2A115.2A3.2A143.A45.A142.2A158.2A
119.3B58.2A3.2A315.2A105.A45.A113.A45.A142.2A158.2A340.2A136.2A158.2A
179.2A160.2A$57.A.A9.B2AB125.A.A43.A.A111.A.A43.A.A140.B2AB173.A132.A
.A9.B2AB340.A104.A.A43.A.A111.A.A43.A.A111.A.A43.A.A101.5B6.2A49.2A2.
A.3A150.A320.A107.A.A43.A.A111.A.A43.A.A140.B2AB175.A325.A114.3A.A2.
2A142.A.A43.A.A140.B2AB156.B2AB117.5B6.2A49.2A2.A.3A313.A105.A.A43.A.
A111.A.A43.A.A140.B2AB156.B2AB339.A136.B2AB156.B2AB178.A161.A$49.A3.
2A2.A.A9.3B126.A.3A41.A.3A109.A.3A41.A.3A139.2B162.A12.A123.A3.2A2.A.
A9.3B329.A12.A103.A.3A41.A.3A109.A.3A41.A.3A109.A.3A41.A.3A98.6B6.A
22.A31.A4.A137.A12.A307.A12.A106.A.3A41.A.3A109.A.3A41.A.3A139.2B164.
A12.A312.A12.A112.A4.A146.A.3A41.A.3A139.2B158.2B117.6B6.A22.A31.A4.A
300.A12.A104.A.3A41.A.3A109.A.3A41.A.3A139.2B158.2B328.A12.A136.2B
158.2B167.A12.A148.A12.A$35.A12.A.A2.A2.2A.2A9.B.B122.2A.A4.A37.2A.A
4.A105.2A.A4.A37.2A.A4.A129.2A8.2B3.B157.3A7.4A109.A12.A.A2.A2.2A.2A
9.B.B328.3A7.4A100.2A.A4.A37.2A.A4.A105.2A.A4.A37.2A.A4.A105.2A.A4.A
37.2A.A4.A80.2A14.7B8.A19.A.A26.4A.2A2.A137.3A7.4A307.3A7.4A103.2A.A
4.A37.2A.A4.A105.2A.A4.A37.2A.A4.A129.2A8.2B3.B159.3A7.4A312.3A7.4A
112.A2.2A.4A139.2A.A4.A37.2A.A4.A129.2A8.2B3.B144.2A8.2B3.B95.2A14.7B
8.A19.A.A26.4A.2A2.A300.3A7.4A101.2A.A4.A37.2A.A4.A105.2A.A4.A37.2A.A
4.A129.2A8.2B3.B144.2A8.2B3.B323.3A7.4A127.2A8.2B3.B144.2A8.2B3.B162.
3A7.4A148.3A7.4A$35.3A10.A.A3.A.A2.B8.5B122.A.A.ABABA37.A.A.ABABA105.
A.A.ABABA37.A.A.ABABA128.B2AB6.4B.B2A159.A6.A112.3A10.A.A3.A.A2.B8.5B
331.A6.A103.A.A.ABABA37.A.A.ABABA105.A.A.ABABA37.A.A.ABABA105.A.A.ABA
BA37.A.A.ABABA80.A2.A8.2A.8B7.2A19.A.A7.2A17.A2.A.A.A.2A139.A6.A313.A
6.A106.A.A.ABABA37.A.A.ABABA105.A.A.ABABA37.A.A.ABABA128.B2AB6.4B.B2A
161.A6.A318.A6.A114.2A.A.A.A2.A4.2A133.A.A.ABABA37.A.A.ABABA128.B2AB
6.4B.B2A142.B2AB6.4B.B2A94.A2.A8.2A.8B7.2A19.A.A7.2A17.A2.A.A.A.2A
302.A6.A104.A.A.ABABA37.A.A.ABABA105.A.A.ABABA37.A.A.ABABA128.B2AB6.
4B.B2A142.B2AB6.4B.B2A325.A6.A129.B2AB6.4B.B2A142.B2AB6.4B.B2A164.A6.
A154.A6.A$38.A10.A.4A2.AB2A6.6B124.A.A.2A4.2A34.A.A.2A4.2A102.A.A.2A
4.2A34.A.A.2A4.2A124.3B4.8B2A158.2A8.B3A110.A10.A.4A2.AB2A6.6B330.2A
8.B3A100.A.A.2A4.2A34.A.A.2A4.2A102.A.A.2A4.2A34.A.A.2A4.2A102.A.A.2A
4.2A34.A.A.2A4.2A77.2A8.A.9B4.BAB2.2A15.3A.2A5.B2AB18.BABABA.A139.2A
8.B3A307.2A8.B3A103.A.A.2A4.2A34.A.A.2A4.2A102.A.A.2A4.2A34.A.A.2A4.
2A124.3B4.8B2A160.2A8.B3A312.2A8.B3A110.A.ABABAB7.A135.A.A.2A4.2A34.A
.A.2A4.2A124.3B4.8B2A143.3B4.8B2A96.2A8.A.9B4.BAB2.2A15.3A.2A5.B2AB
18.BABABA.A302.2A8.B3A101.A.A.2A4.2A34.A.A.2A4.2A102.A.A.2A4.2A34.A.A
.2A4.2A124.3B4.8B2A143.3B4.8B2A324.2A8.B3A125.3B4.8B2A143.3B4.8B2A
163.2A8.B3A148.2A8.B3A$11.2A24.2A12.A3.A.A.2A4.8B116.2A5.ABA4B4.A15.
2A10.2A5.ABA4B4.A95.2A5.ABA4B4.A15.2A10.2A5.ABA4B4.A124.B.B3.6B2AB.B
159.5B5.BA2.A82.2A24.2A12.A3.A.A.2A4.8B330.5B5.BA2.A91.2A5.ABA4B4.A
15.2A10.2A5.ABA4B4.A95.2A5.ABA4B4.A15.2A10.2A5.ABA4B4.A95.2A5.ABA4B4.
A15.2A10.2A5.ABA4B4.A74.4A11.A.9B3.B4A2.A13.A4.B6.3B5.2A13.B2ABA.A
139.5B5.BA2.A306.5B5.BA2.A94.2A5.ABA4B4.A15.2A10.2A5.ABA4B4.A95.2A5.A
BA4B4.A15.2A10.2A5.ABA4B4.A124.B.B3.6B2AB.B161.5B5.BA2.A311.5B5.BA2.A
109.A.AB2AB6.A129.2A5.ABA4B4.A15.2A10.2A5.ABA4B4.A124.B.B3.6B2AB.B
143.B.B3.6B2AB.B93.4A11.A.9B3.B4A2.A13.A4.B6.3B5.2A13.B2ABA.A302.5B5.
BA2.A92.2A5.ABA4B4.A15.2A10.2A5.ABA4B4.A95.2A5.ABA4B4.A15.2A10.2A5.AB
A4B4.A124.B.B3.6B2AB.B143.B.B3.6B2AB.B325.5B5.BA2.A123.B.B3.6B2AB.B
143.B.B3.6B2AB.B164.5B5.BA2.A147.5B5.BA2.A$12.A24.4B9.A2.BA.A2.13B
116.B2AB2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA.A94.B2AB2.3BA2B4.BA.A
15.A3.2A5.B2AB2.3BA2B4.BA.A123.13B2A27.2A135.9B2.2A83.A24.4B9.A2.BA.A
2.13B333.9B2.2A90.B2AB2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA.A94.B2AB
2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA.A94.B2AB2.3BA2B4.BA.A15.A3.2A
5.B2AB2.3BA2B4.BA.A74.A3.4A4.3A3.14B2.2A15.3AB2AB5.B2.B2.B2AB13.2B.BA
142.9B2.2A308.9B2.2A93.B2AB2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA.A
94.B2AB2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA.A123.13B2A166.9B2.2A
313.9B2.2A110.AB.2B7.5A124.B2AB2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA
.A123.3B2A8B2A145.13B2A27.2A67.A3.4A4.3A3.14B2.2A15.3AB2AB5.B2.B2.B2A
B13.2B.BA305.9B2.2A91.B2AB2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA.A94.
B2AB2.3BA2B4.BA.A15.A3.2A5.B2AB2.3BA2B4.BA.A123.13B2A145.13B2A330.9B
2.2A122.3B2A8B2A145.13B2A169.9B2.2A149.9B2.2A$6.2A2.A4.A23.3B7.A.2BA.
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.4A36.4B124.4B10.2A.A.A.A.A2.A11.2A.A.A.A2.A4.2A263.3AB34.2A3.2A104.
4B9.A2.A2.2A.4A15.A.AB2AB6.A438.4B15.A.A16.A2.2A.4A112.4B10.2A4.A20.A
.AB2AB6.A$84.B2ABA.A5.5A7.2B.BA99.4B10.2A4.A17.2A.A.A.A2.A4.2A105.4B
14.A.ABABAB15.A.AB2AB6.A470.2A3.2A428.3BA15.A.A15.A4.A117.4B10.2A.A.A
.A.A2.A11.2A.A.A.A2.A4.2A105.4B14.A.ABABAB17.AB.2B7.5A87.3BA15.A.A16.
2A3.2A608.3AB15.2A17.2A3.2A115.4B10.2A4.A20.A.AB2AB6.A729.2A4.A41.3BA
124.4B9.A2.A2.2A.4A12.A2.2A.4A419.4B10.2A4.A19.A.ABABAB7.A437.3BA15.
2A16.A4.A117.4B15.A.A18.A.ABABAB7.A$83.BABABA.A9.A6.B2ABA.A99.4B15.A.
A16.A2.2A.4A112.4B10.2A.A.A.A.A2.A13.A.ABABAB7.A904.3BA15.2A16.3A.A2.
2A114.4B9.A2.A2.2A.4A12.A2.2A.4A112.4B10.2A.A.A.A.A2.A14.A.AB2AB6.A
92.3AB15.2A792.4B15.A.A18.A.ABABAB7.A733.A.A40.3BA124.3BA10.2A4.A16.A
4.A424.4B15.A.A16.2A.A.A.A2.A4.2A438.3BA33.3A.A2.2A114.4B15.2A17.2A.A
.A.A2.A4.2A$81.A2.A.A.A.A.2A4.A7.BABABA.A100.3BA15.2A16.A4.A117.4B9.A
2.A2.2A.4A12.2A.A.A.A2.A4.2A905.3AB34.2A3.2A115.3BA10.2A4.A16.A4.A
117.4B9.A2.A2.2A.4A14.A.ABABAB7.A904.4B15.2A17.2A.A.A.A2.A4.2A734.2A
41.3AB124.3BA15.A.A15.3A.A2.2A421.4B15.2A17.A2.2A.4A445.3AB34.2A3.2A
115.4B34.A2.2A.4A$81.4A.2A2.A2.A4.2A4.A2.A.A.A.2A100.3BA33.3A.A2.2A
114.4B10.2A4.A17.A2.2A.4A1072.3BA15.A.A15.3A.A2.2A114.4B10.2A4.A17.2A
.A.A.A2.A4.2A905.4B34.A2.2A.4A912.3AB15.2A17.2A3.2A422.3BA33.A4.A610.
3BA33.A4.A$85.A4.2A12.4A.2A2.A102.3AB34.2A3.2A115.3BA15.A.A15.A4.A
1077.3AB15.2A17.2A3.2A115.4B15.A.A16.A2.2A.4A912.3BA33.A4.A1384.3BA
33.3A.A2.2A607.3BA33.3A.A2.2A$83.A.A22.A4.A263.3BA15.2A16.3A.A2.2A
1234.3BA15.2A16.A4.A917.3BA33.3A.A2.2A1381.3AB34.2A3.2A608.3AB34.2A3.
2A$83.2A19.2A2.A.3A265.3AB34.2A3.2A1235.3BA33.3A.A2.2A914.3AB34.2A3.
2A$104.2A3.2A1548.3AB34.2A3.2A!

Code: Select all

p==23(mod 56)
gun_3271: 17640 -> 10908
gun_3607: 16236 -> 11514
gun_3719: 16750 -> 11716
gun_3943: 15180 -> 12120
gun_4111: 12852 -> 12423
gun_4951: 16065 -> 15870

p==31(mod 56)
gun_3391: 14950 -> 11322
gun_3559: 15730 -> 11628
gun_3671: 16236 -> 11832
gun_3727: 17010 -> 11934
gun_4007: 15120 -> 12444
gun_4231: 13764 -> 12978

p==39(mod 56)
gun_3343: 14448 -> 11220
gun_3511: 15232 -> 11526
gun_3623: 16750 -> 11730
gun_3847: 15640 -> 12138
gun_4127: 13310 -> 12648

p==47(mod 56)
gun_3407: 14934 -> 11536
gun_3463: 16214 -> 11639
gun_3631: 15982 -> 11948
gun_3911: 15912 -> 12463
gun_3967: 15930 -> 12566
gun_4079: 15624 -> 12772

p==55(mod 56)
gun_3359: 14706 -> 11433
gun_3527: 15730 -> 11742
gun_3583: 16492 -> 11845
gun_3863: 16146 -> 12360
gun_3919: 16029 -> 12463

p==15(mod 56)
gun_3319: 14336 -> 11544
gun_3767: 15142 -> 12376
gun_3823: 15892 -> 12480
gun_4271: 13764 -> 13440
gun_4327: 14238 -> 13674
100009436650194649 = 94649 * 1056634900001
User avatar
Vort
Posts: 249
Joined: May 14th, 2024, 6:35 am

Re: Small Four-Digit Prime Period Guns

Post by Vort »

AbhpzTa wrote: November 24th, 2024, 6:05 am ... Reductions to guns for the following periods, based on that (p3271+8N, replacing the topmost snark with a CP semi-snark): ...
Will you upload new versions to Catagolue?
User avatar
ElijahKen
Posts: 275
Joined: March 9th, 2024, 7:32 pm

Re: Small Four-Digit Prime Period Guns

Post by ElijahKen »

After a lot of tweaks to that gun family, reductions to gun_3457, gun_3449, gun_3433:
gun_3457, 18768 -> 15805

Code: Select all

x = 145, y = 109, rule = B3/S23
66b2o$65bobo$59b2o4bo$57bo2bo2b2ob4o$57b2obobobobo2bo4b2o$60bobobobo8b
o$60bobob2o7bo$61bo11b5o$77bo$71b4o$65b2o4bo2bo$65b2o$78b2o$73b2obo2bo
$73b2ob2o3$40b2o$40bo$35b2o5bo19b2o$35bo5b2o20bo$32b2obo24b3o$32bo2bob
2o2b2o17bo$34b2obo3b2o$37bo$37b2o$30b2o$29bobo$29bo$26b2obo$27bobob2o
5b2o$27bobob2o5b2o$26b2obo$26bo2b4o14b2o62bo11b2o$27b2o3bo14bobo60bobo
10b2o$29b2o18bo17b2o29bo3bo3b2o2bobo$29bo19b2o16bobo26b3o2bobo2bo2b2ob
2o$31bo37bo4b2o19bo5bobo3bobo$30b2o33b4ob2o2bo2bo17b2o5bob4o2bob2o$65b
o2bobobobob2o26bo3bobob2o$68bobobobo28bo3bobo$69b2obobo27bo3bobo$73bo
28b2o3bo$33b2o$32bobo24b2o$26b2o4bo27bo7b2o$24bo2bo2b2ob4o23bobo5b2o
45b2o$24b2obobobobo2bo24b2o52b2o$27bobobobo96b2o$27bobob2o96bo2bo$28bo
101b2obo$83b2o48bo$41b2o40b2o48b2o$32b2o7bo76b2o$32b2o5bobo29b2o46bo$
19bo19b2o30bo3bo40b3o21b2o$17b3o52b4o28b2o10bo23bo$16bo87bobo35bo$15bo
bo52b4o32bo15b2o14b5o$15bobo52bo2b3o30b2o15bo13bo$16bo59bo46bobo12b3o$
75bobo46b2o15bo$29b2o44bobo60b4o$30bo45bo56b2o3bo3b2o$27b3o103b2o4b3o
2bo$2o25bo113bob2o$2o139bo$140b2o3$20b2o110b2o$20bobo109bo$22bo110b3o$
13b2o7b2o47b2o38bo23bo$13b2o55bobo36b3o$70bo18b2o17bo$3bob2o62b2o7b2o
9bo18b2o$b3ob2o71b2o10bo$o88b2o$b3ob2o79b2o24b3o$3b2o2bo78b2ob2o23bo$
6bobo80bo23bo$2bob2obobo16bo59b2o3bo$2b2obo2bo15b3o58bo2b4o6b2o$5bo17b
o60bobobo8bobo5b2o$5b2o16b2o41bo18bo2bob2o5bo7b2o$3b2o2bobo56b3o19bobo
5b2o$2bo2bo2b2o59bo17b2o2bo$3b2o63b2o14bobo2bobo18bo$84b2o2bobo15b2obo
bo$89bo15bobobobo$102bo2bobobobob2o$102b4ob2o2bo2bo$90bo15bo4b2o$88b3o
13bobo$87bo16b2o$9b2o20b2o54b2o$9b2o20b2o25bo$58b3o$61bo$60bo$60b2o$
58b2o2bo$57bo2b3o$58bo23bo$17b2o5b2o33b4o6b2o3b2o5bobo$18bo5bo36bo7b2o
3b2o6bo$15b3o7b3o35bo$15bo11bo34b2o!
gun_3449, 18765 -> 15696

Code: Select all

x = 144, y = 109, rule = B3/S23
65b2o$64bobo$58b2o4bo$56bo2bo2b2ob4o$56b2obobobobo2bo4b2o$59bobobobo8b
o$59bobob2o7bo$60bo11b5o$76bo$70b4o$64b2o4bo2bo$64b2o$77b2o$72b2obo2bo
$72b2ob2o3$39b2o$39bo$34b2o5bo19b2o$34bo5b2o20bo$31b2obo24b3o$31bo2bob
2o2b2o17bo$33b2obo3b2o$36bo$36b2o$29b2o$28bobo$28bo$25b2obo$26bobob2o
5b2o$26bobob2o5b2o$25b2obo$25bo2b4o14b2o62bo11b2o$26b2o3bo14bobo60bobo
10b2o$28b2o18bo17b2o29bo3bo3b2o2bobo$28bo19b2o16bobo26b3o2bobo2bo2b2ob
2o$30bo37bo4b2o19bo5bobo3bobo$29b2o33b4ob2o2bo2bo17b2o5bob4o2bob2o$64b
o2bobobobob2o26bo3bobob2o$67bobobobo28bo3bobo$68b2obobo27bo3bobo$72bo
28b2o3bo$32b2o$31bobo24b2o$25b2o4bo27bo7b2o$23bo2bo2b2ob4o23bobo5b2o
45b2o$23b2obobobobo2bo24b2o52b2o$26bobobobo96b2o$26bobob2o96bo2bo$27bo
101b2obo$82b2o48bo$40b2o40b2o48b2o$31b2o7bo76b2o$19bo11b2o5bobo29b2o
46bo$17b3o18b2o30bo3bo40b3o21b2o$16bo54b4o28b2o10bo23bo$15bobo85bobo
35bo$15bobo51b4o32bo15b2o14b5o$16bo52bo2b3o30b2o15bo13bo$75bo46bobo12b
3o$74bobo46b2o15bo$28b2o44bobo60b4o$29bo45bo56b2o3bo3b2o$2o24b3o103b2o
4b3o2bo$2o24bo113bob2o$140bo$139b2o2$20b2o$20bobo108b2o$22bo108bo$13b
2o7b2o108b3o$13b2o55b2o38bo23bo$69bobo36b3o$3bob2o62bo18b2o17bo$b3ob2o
61b2o7b2o9bo18b2o$o76b2o10bo$b3ob2o81b2o$3b2o2bo77b2o24b3o$6bobo76b2ob
2o23bo$2bob2obobo16bo61bo23bo$2b2obo2bo15b3o58b2o3bo$5bo17bo60bo2b4o6b
2o$5b2o16b2o58bobobo8bobo5b2o$3b2o2bobo55bo18bo2bob2o5bo7b2o$2bo2bo2b
2o55b3o19bobo5b2o$3b2o63bo17b2o2bo$67b2o14bobo2bobo18bo$83b2o2bobo15b
2obobo$88bo15bobobobo$101bo2bobobobob2o$101b4ob2o2bo2bo$89bo15bo4b2o$
87b3o13bobo$9b2o20b2o53bo16b2o$9b2o20b2o53b2o$57bo$57b3o$60bo$59bo$59b
2o$57b2o2bo$56bo2b3o$17b2o5b2o31bo23bo$18bo5bo33b4o6b2o3b2o5bobo$15b3o
7b3o32bo7b2o3b2o6bo$15bo11bo34bo$61b2o!
gun_3433, 18495 -> 15478

Code: Select all

x = 142, y = 109, rule = B3/S23
63b2o$62bobo$56b2o4bo$54bo2bo2b2ob4o$54b2obobobobo2bo4b2o$57bobobobo8b
o$57bobob2o7bo$58bo11b5o$74bo$68b4o$62b2o4bo2bo$62b2o$75b2o$70b2obo2bo
$70b2ob2o3$37b2o$37bo$32b2o5bo19b2o$32bo5b2o20bo$29b2obo24b3o$29bo2bob
2o2b2o17bo$31b2obo3b2o$34bo$34b2o$27b2o$26bobo$26bo$23b2obo$24bobob2o
5b2o$24bobob2o5b2o$23b2obo$23bo2b4o14b2o62bo11b2o$24b2o3bo14bobo60bobo
10b2o$26b2o18bo17b2o29bo3bo3b2o2bobo$26bo19b2o16bobo26b3o2bobo2bo2b2ob
2o$28bo37bo4b2o19bo5bobo3bobo$27b2o33b4ob2o2bo2bo17b2o5bob4o2bob2o$62b
o2bobobobob2o26bo3bobob2o$65bobobobo28bo3bobo$66b2obobo27bo3bobo$70bo
28b2o3bo$30b2o$29bobo24b2o$23b2o4bo27bo7b2o$21bo2bo2b2ob4o23bobo5b2o
45b2o$21b2obobobobo2bo24b2o52b2o$24bobobobo96b2o$24bobob2o96bo2bo$25bo
101b2obo$80b2o48bo$19bo18b2o40b2o48b2o$17b3o9b2o7bo76b2o$16bo12b2o5bob
o29b2o46bo$15bobo18b2o30bo3bo40b3o21b2o$15bobo51b4o28b2o10bo23bo$16bo
84bobo35bo$67b4o32bo15b2o14b5o$67bo2b3o30b2o15bo13bo$73bo46bobo12b3o$
72bobo46b2o15bo$2o24b2o44bobo60b4o$2o25bo45bo56b2o3bo3b2o$24b3o103b2o
4b3o2bo$24bo113bob2o$138bo$20b2o115b2o$20bobo$22bo$13b2o7b2o105b2o$13b
2o114bo$130b3o$3bob2o61b2o38bo23bo$b3ob2o60bobo36b3o$o66bo18b2o17bo$b
3ob2o59b2o7b2o9bo18b2o$3b2o2bo67b2o10bo$6bobo77b2o$2bob2obobo16bo56b2o
24b3o$2b2obo2bo15b3o56b2ob2o23bo$5bo17bo62bo23bo$5b2o16b2o58b2o3bo$3b
2o2bobo72bo2b4o6b2o$2bo2bo2b2o71bobobo8bobo5b2o$3b2o58bo18bo2bob2o5bo
7b2o$63b3o19bobo5b2o$66bo17b2o2bo$65b2o14bobo2bobo18bo$81b2o2bobo15b2o
bobo$86bo15bobobobo$99bo2bobobobob2o$99b4ob2o2bo2bo$9b2o20b2o54bo15bo
4b2o$9b2o20b2o52b3o13bobo$84bo16b2o$84b2o$55bo$55b3o$58bo$57bo$57b2o$
17b2o5b2o29b2o2bo$18bo5bo29bo2b3o$15b3o7b3o27bo23bo$15bo11bo28b4o6b2o
3b2o5bobo$58bo7b2o3b2o6bo$60bo$59b2o!
Already submitted to Catagolue.

There are probably more out there.
Engineering macro-spaceships is hard.
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