High clue tamagotchis

Everything about Sudoku that doesn't fit in one of the other sections

1381+24=1405

Postby dobrichev » Thu Jul 03, 2014 11:20 pm

24 more 39s from the first pass and the seed grew from 216 to 305MB.
Seems that there are much more 39s, giving a real chance for third 40-given to exist.
Hidden Text: Show
Code: Select all
..............1.23..1.4256......7.8...7.8.312.83124.75.1..78..6.68413.57.742.683.
...........1..2.34.3415..62.1758..23.28.1..7.3.52.7..8.4.8....7.73..1.86.8.7.5341
...........1.23.45.2..46.71..2..8..76.72.4.1881...74...36.8..5.1.53.2.8428..751.3
...........1.23.45.24.513.6.....2..7.4751.6..21..7645..7..3..8.13..87.6448.1.57.3
...........1.23.45.24.6.713.1..384.7.48.72.317.......8.86.5....1.7.86.5445..17.86
...........1.23.45.24.6.731.1..384.7.48.72.137.......8.86.5....1.7.86.5445..17.86
...........1.23.45.24.653.1..3..6..7.47..856..86.57413..85.27.4.72.8.15.4...7...8
...........1.23.45.45..1.32..6.3..7..1..72.56.87.6.213.742.8.6.1...46..76.8.17.24
...........1.23456.42.15.37.17..836.4.6.31.858.......4.643.2.78.7..8....2.817..43
...........1.23456.42.51.37.17..856.4.6.15.838.......4.645.2.78.7..8....2.817..45
...........1.23456.42.5137..17..86.54.6.1583.8......4..645.278..7..8....2.817.56.
...........1.23456.425761.......5..8..876.31..17.826.5.8.....3.13..578.47.4.3856.
..........12.34.56.345.62.1..7....4..417.38.53..4.5.7..23.58.17.7...2..81.83.752.
..........12.34.56.35.267.1..1.47.85.54.8.617.8.65.4....8.......2..781.41.3.62.78
..........12.34.56.3562.41...7..3.85.8..6.7..5.387.16..58.4...1.76.8.54.4.1..6.78
..........12.34.56.3562.41...7..8.6..8.37.5..35..62.87.68.43.7..732...4.42.78.6..
........1..1..234..34.51..6..7.85.34.486....73.5..76...7..2.8...835.6.725.2.78463
........1..2.13.4..415.2.3...6.274...246.57...7..3..62.18..637..673.81.44...71.86
........1..2.13.4..5124.6.7..8.5.....153...646.34.1.58.27.34.86.3687.412.8.....7.
........1..2.1345..31.46.27.1837..45.2..817..3.7.5..18.5...8....83.6...22.6.35.84
........1..2.1345..31.46.27.1837..45.2..817..3.7.5..18.5...8....86.3...22.3.65.84
........1..2.1345614.76..28.1........87.31.422.4.78.13.28.5....4....7.8575..862.4
........1.12.3456.5.61.243...1..367..784...1565.7.1..4..5..7.4..2734..56.6.2..7..
........1.23.1456..1475623.....7.8...48..5.2.2.7.48.56..15...8..82.67.153...816..
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

1405+19+12=1436

Postby dobrichev » Fri Jul 11, 2014 7:21 pm

Approximately twice slower
Hidden Text: Show
Code: Select all
..............1.23234.56..1.2..178..17..842354.8..3.173.2.75..874..683528......7.
...........1..2.34.3546.721..4...1...1862.4.33.61.4.52..725.3.8.538.62.7.8...7..5
...........1.23.45.24.6.713.1..384...48.72.317.......8.86.5..7.1.7.86.5445..17.86
...........1.23.45.24.6.731..7.86.54.86.5.1..45..17.86.1..384.7.48.72.137.......8
...........1.23.45.24.6.731..7.86.54.86.5.17.45..17.86.1..384...48.72.137.......8
...........1.23.45.24.6.731.1..384...48.72.137.......8.86.5..7.1.7.86.5445..17.86
...........1.23.45.241...63.175.8..4.65..1.784.827..5..7.8.....1463.2.878.271...6
...........1.23.45.241...63.175.8..4.65..1.874.827..5..7.8.....1463.2.788.271...6
...........1.23.45246..5.13.......71.147.2.6..7..615.4..7.36....632.8.574285.7.36
...........1.23.45246..5.13.......711.47.2.6.7...615.4..7.36...4285.7.366.32.8.57
...........1.23456.24.1537.....528...5..8..3..823.956..1...468..48..1.2326..3814.
...........1.23456.24.1537.....825...523.986..8..5..3..1...468..48..1.2326..3814.
...........1.23456245.76..3.....81..1.876.5.44.73.1.68..4....8.57..8.3.18.2.37.45
..........12.34.56.352.61.4..13.26.7.73.6..1.2....7..5.58.2.4..1.4..3..8327.485.1
..........12.34.56.352.61.4..13.26.7.73.6..1.2....7..5.58.2.4..127.435.83.4..8..1
..........12.34.56.352.61.4.27.4.5..1.4..3..7358.274.1.813..6..2....8..55.3.6..18
..........12.34.56.352.61.4.27.4.5..1.4..3..7358.274.1.813..6..2.3.68.1.5....2..8
..........12.34.56.352.61.4.27.4.5..158.234.73.4..7..1.83.6..1.2.13.86..5....2..8
........1..2.1345..14.25.....6.7.8...4...2..6278.36.4..81257.6.427.6158.6...48.1.

Code: Select all
.............12.341354...26..3.7...8.178...6.68.251.47.5176..82.7.1.865.8...25.7.
...........1..2..3.2..34.15.16.2..372...634818.3..7.6..64.7..5818..45.767...861.4
...........1.23.45.23..416.....725...3.5.8.74.5743.....15.87426.762458.1.8...1..7
...........1.23.45.24.653.1..2.76..4.472.81.66....1.7..73.....821..874.348..32.17
...........1.23.45.2465..17..2..7..4.36.427.8.4.86..3...8.36..1.1328..7.26..71.83
...........1.23.45.2465..17..23.7..4.36.427.8.4.86..3...8..6..1.1328..7.26..71.83
..........12.34.56.345.712...1.83.65.8.6...4.3.6.7581...83...7.1.374658.4...58...
........1..1..2345.53.1426...6.27.34.4.......37..48.26.182...535....168.63..85.12
........1..1.2345..45.163.2..7....2..5263.1.71.627.543.7.......5.8.6..346.438.7.5
........1..1.2345..45.163.2..7....2..5263.1.71.627.543.7.......5.836.7.46.4.8..35
........1..2.13..4.13.54.2...6..7...2315.6.8757..38.62..83...4..45.812..32.4.5.18
.......12..1.2345.25..163.......1.7..18.67.43.7.38......5..27...47638.2582..75.34
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

1436+12=1448

Postby dobrichev » Sat Jul 12, 2014 7:28 am

Hidden Text: Show
Code: Select all
..............1234.12.3456...7.......681.73.212..8375..763..8.52....867.8.17.6423
...........1..2.34.25.34.16.16.2734..37...1..2....3.67.52.7.48..732.8.5118..45.7.
...........1..2.34.25.34.16.16.2734..73...1..2....3.67.372.8.51.52.7.48.18..45.7.
...........1..2.34.25.34.16.17...3...36.2714.2....3.67.52.7.48..732.8.5118..45.7.
...........1.23.45.245.6.31.57..2.841426.8.7.8...7..1..76.....82158.74..4.826..5.
...........1.23.45.2456.13...73..8...1..82.57.8275.31..4.63..71.7....56.1.627.48.
...........1.23.45.42.1.63...4.7...3.2...176..76238.14.1735..8..581.237.2...87.5.
...........1.23456452.16.73.......48.48.325.75.7.8.....1.37.6.46....8.1.784.61.35
..........12.34.56.352.61.4.....2..7.73.4..1.2.13.74.5.48.2.6..127.635.83.6..8..1
........1..1.23.4..5..16.37..6..7.8..78.3.4.654..687.3.1...2....27.81354.8537.1.2
........1..2.1345..41.62..3..7.8.....5.2367.4426..7..8.15.78....8.6.51.77.4.21.85
........1.12.34.5.63..514.7...3852.4..3.4..76.24.765...4751..62.6.......2.1.637.5
dobrichev
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Posts: 1311
Joined: 24 May 2010

1448+18=1466

Postby dobrichev » Mon Jul 14, 2014 3:15 am

Hidden Text: Show
Code: Select all
...........1..2.34..3.415.2....26....1273.6.8.67.84.25.3...7..6.764.8.53145.63.87
...........1..2.34.35.46.21..3..7....574.32161...25.73..87...62.162.8.47.7..6418.
...........1..2.34.35.46.21..4..7....162...473.7.64152.53.7.2.81.8.25.737....8.15
...........1..2.34.35.64.21..4..7....162...473.7.46152.53.7.2.81.8.25.737....8.15
...........1.23.45.42.1.63......2.57..713.4..284.5731..782...6.12..86.744.6.71.8.
...........1.23.4524..15.63.......7...8.37.5647..58319.1..86..77..34..818...71634
...........1.23456.45.163.7..7..824..52.3.7.84.8.72563.2..8..345.436.8..8.....6..
..........12.34.56.345.6.17....5..8..58.637.4423.78.65.41.8.....8534..713.7.....8
..........12.34.56.345.6.17...45..8..23.78.65.58.637.4.41.8.....8534..713.7.....8
..........12.34.56.345.6172..1.75.28..8.6.7.12..1.8.35..36...8..2.8.7.63.8..5.2.7
..........12.34.56.345.6172..1.75.28..8.6.7.12..1.8.35..38...6..2.6.7.83.8..5.2.7
..........12.34.56.352.614...73.8.21.2..47.8..836.247...84..5...5..6381.3....5.64
........1....1234..13.45.26.37.8.1.2.6127..838....1.6..5......8.76.5823.3.8.276.5
........1..1..234..53.14..6..7..81..1.8.57.645.2.417.8.26.754.33...2....7.54.36.2
........1..1..234..53.14..6..7..81..1.8.57.645.2.418.7.26.854.33...2....8.54.36.2
........1..1.23.4.254.613...13.7..52.7..1248.42.35.1.7.47.86..5.8..3.7.45....78..
........1..1.23.4.254.613...13.7..52.75.1248.42.3..1.7.47.86..5.8..3.7.45....78..
........1..2.1345..416.5.2...7...58.2...78.144.85.1.72.24.37.65.7...62..6.3.5..47
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

1466+11=1477

Postby dobrichev » Tue Jul 15, 2014 4:37 pm

Hidden Text: Show
Code: Select all
...........1..2.34.3..41.52.46.7..8.3.8.69.4771..84.63.64.1732..7...6..8.93.2..76
...........1.23.4523..456.1..7..8.6..26.74..818..3.7..5.2.8741.7...5..8681.46.5.7
...........1.23.4524..516.3....178.4.1..8..3.8.43.2.7...8..6.57.76.354.84.5.7836.
...........1.2345624..15.73..8.6.7.5.7..3864.4..5...38.24.8.5.76......8.8.7.52364
...........1.2345624..15.73..8.6.7.5.7..3864.4..5...38.27.8.5.46......8.8.4.52367
........1....23.4..24.156.3..7..81...81236.7424..718.6..83.2..7.7..8..6.4.2.573.8
........1....23.4..24.516.3..7.8.1...81362.7424..178.6..823...7.7...8.6.4.2.753.8
........1..1..234..53.14.....6..71..1.7.562845.2.416.7.28.654.33...2....6.54.38.2
........1..1..234..53.14.....6..71..1.7.652845.2.416.7.28.564.33...2....6.54.38.2
........1..1.2345.2451..36......67..4.62.7.3.7.238..46..78.2.141...3..7.5247.1.8.
........1..2..345.46.1253.....3.7.8.6.7.581438...1.7.5.4..81..22..5..8..78..32514

818,744 38s
79,089,207 37s
dobrichev
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Posts: 1311
Joined: 24 May 2010

Re: High clue tamagotchis

Postby eleven » Wed Jul 16, 2014 7:43 am

I made a quick look at the ratings (we know, that minimal puzzles with more givens tend to be harder).
The 39's have an average Explainer rating of 8, the first 150k 38's gave 7.8.
The two 40 clue puzzles are relatively easy (7.2).
eleven
 
Posts: 1535
Joined: 10 February 2008

1477+15=1492

Postby dobrichev » Wed Jul 16, 2014 5:07 pm

Hidden Text: Show
Code: Select all
..............1.23.24.53.16..7.38....8.54..716.51.7.38.52.841674.6.15.8287......4
...........1..2.34..3145.67.....4.8..485.17262178.6.45.842..6.313...8.727.2.....8
...........1..2.34..3145.67.....4.8..485.17267128.6.45.842..6.313...8.722.7.....8
...........1..2.34.32.54..6..3.75.81.1.8...27.782.1..3.675.8.4..84.27.6.3.54.6.78
...........1..2.34.5.6732.1..5..834...8.2...5.473.58.2.16.87423.7..361.8.8.2.1.7.
...........1.23.45.246.7318......5...1.23..87.62.85431..6.781...5.3...741.75.28.3
...........1.23.45.246.7318......5...4.23..87.62.85134..6.784...5.3...714.75.28.3
...........1.23.45.45..1632..6..2.78.283.756..57.68.24.7..8.453.84.3...75..7...8.
...........1.2345624..15.73..8.7.6.5.6..38.4.47.5...38.24.8.5.76......8.8.7.52364
...........1.2345624..15.73..8.7.6.5.6..38.4.47.5...38.27.8.5.46......8.8.4.52367
...........1.2345624..15.73..8.7.6.5.6..3874.4..5...38.24.8.5.76......8.8.7.52364
...........1.2345624..15.73..8.7.6.5.6..3874.4..5...38.27.8.5.46......8.8.4.52367
........1..1.2345.2451...6......67..4.62.7.3.7.238..46..78.2.141...3..7.5247.1.83
........1..1.2345.46..1723.....82.4...47.6.236...3.8....6..158.1.82.536454...8.12
........1..2.13.4..15.26..3..7.68....28341.76.4627.3.8.84......251.348.77...82..4


What is the rating of the the easiest and hardest puzzles?
dobrichev
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Posts: 1311
Joined: 24 May 2010

Re: High clue tamagotchis

Postby eleven » Thu Jul 17, 2014 8:56 am

In the 39's this easiest one solves with a UR1 (ER 4.2)
Code: Select all
........1.....2.3..24.13.....5..16...16738.4574..56.13.5..6...2.62387.5447..2536.
and 3 have a rating of 9.2
Code: Select all
9.2 9.2 9.0   ........1..2.13.4514..2536..24.78.5.57.3.2.848...5.....8...7.1.2.7.8143.41.23...8
9.2 9.2 6.7   ........1.12.34.5.53..162.4..3.7.8.5.856.3.2772..8.4...5...7...27.36.5.83.1..8.72
9.2 1.2 1.2   ........1..2.13.4514..2536..24.78.5357.3.2.848...5.....8...7.1.2.7.814..41.23...8

In the part of 38's i rated, there were 24 singles puzzles, e.g.
Code: Select all
..............1..2.12..3..4.25..6..71.6.57...47.132.56.516.4.3824.3.8.656...754.1
and twins with ER 9.3
Code: Select all
9.3 9.3 2.6   ..............1234123.54.6..37.4...828..75.434....872..72.1..863.6..7..281...637.
9.3 9.3 2.6   ..............1234123.54.6..37.4...828..75.434....872..76.1..823.2..7..681...637.
eleven
 
Posts: 1535
Joined: 10 February 2008

1492+10=1502

Postby dobrichev » Thu Jul 17, 2014 5:18 pm

Thanks, Eleven. So, the notable fact is the high average rating. Maybe also the absence of 39s and 40s solvable with singles, and the absence of 41+ solvable with any technique :) .

Fortunately the 39s reached 1500.
These are the sizes of the latest generations. At 65th and 66th generations 15% of all 36s were used as seed. What is your updated estimation for the total number of 39s?
Hidden Text: Show
Code: Select all
-rw-r--r--. 1 root root 1220657715 Apr 23 11:05 37.1.done.6.m2p6
-rw-r--r--. 1 root root 1364246090 Apr 27 11:44 37.1.done.7.m2p6
-rw-r--r--. 1 root root 1481200310 Apr 29 20:36 37.1.done.8.m2p6
-rw-r--r--. 1 root root 1578728545 May  2 14:43 37.1.done.9.m2p6
-rw-r--r--. 1 root root 1655693665 May  5 04:44 37.1.done.10.m2p6
-rw-r--r--. 1 root root 1716999490 May  8 01:10 37.1.done.11.m2p6
-rw-r--r--. 1 root root 1757475300 May 10 23:17 37.1.done.12.m2p6
-rw-r--r--. 1 root root 1770069070 May 14 00:43 37.1.done.13.m2p6
-rw-r--r--. 1 root root 1759901370 May 16 18:31 37.1.done.14.m2p6
-rw-r--r--. 1 root root 1729338175 May 19 09:56 37.1.done.15.m2p6
-rw-r--r--. 1 root root 1681575910 May 22 01:41 37.1.done.16.m2p6
-rw-r--r--. 1 root root 1620971335 May 24 16:51 37.1.done.17.m2p6
-rw-r--r--. 1 root root 1553260675 May 27 23:57 37.1.done.18.m2p6
-rw-r--r--. 1 root root 1465037815 May 30 07:40 37.1.done.19.m2p6
-rw-r--r--. 1 root root 1372300095 Jun  1 16:05 37.1.done.20.m2p6
-rw-r--r--. 1 root root 1286314945 Jun  3 17:30 37.1.done.21.m2p6
-rw-r--r--. 1 root root 1197801470 Jun  5 14:33 37.1.done.22.m2p6
-rw-r--r--. 1 root root 1109495650 Jun  7 09:14 37.1.done.23.m2p6
-rw-r--r--. 1 root root 1023035265 Jun  9 00:40 37.1.done.24.m2p6
-rw-r--r--. 1 root root  933174370 Jun 10 15:26 37.1.done.25.m2p6
-rw-r--r--. 1 root root  844970720 Jun 11 22:31 37.1.done.26.m2p6
-rw-r--r--. 1 root root  759959330 Jun 13 02:14 37.1.done.27.m2p6
-rw-r--r--. 1 root root  687065455 Jun 17 06:35 37.1.done.28.m2p6
-rw-r--r--. 1 root root  622989990 Jun 18 06:40 37.1.done.29.m2p6
-rw-r--r--. 1 root root  563091085 Jun 19 03:40 37.1.done.30.m2p6
-rw-r--r--. 1 root root  503166170 Jun 19 23:16 37.1.done.31.m2p6
-rw-r--r--. 1 root root  450396725 Jun 20 14:54 37.1.done.32.m2p6
-rw-r--r--. 1 root root  396773540 Jun 21 04:30 37.1.done.33.m2p6
-rw-r--r--. 1 root root  353639610 Jun 21 16:55 37.1.done.34.m2p6
-rw-r--r--. 1 root root  315307245 Jun 22 03:42 37.1.done.35.m2p6
-rw-r--r--. 1 root root  282443100 Jun 22 16:01 37.1.done.36.m2p6
-rw-r--r--. 1 root root  250759860 Jun 23 04:58 37.1.done.37.m2p6
-rw-r--r--. 1 root root  221076160 Jun 23 13:02 37.1.done.38.m2p6
-rw-r--r--. 1 root root  198490385 Jun 23 20:04 37.1.done.39.m2p6
-rw-r--r--. 1 root root  177742565 Jun 24 02:00 37.1.done.40.m2p6
-rw-r--r--. 1 root root  158436855 Jun 24 11:44 37.1.done.41.m2p6
-rw-r--r--. 1 root root  138916265 Jun 24 18:02 37.1.done.42.m2p6
-rw-r--r--. 1 root root  122485085 Jun 25 08:15 37.1.done.43.m2p6
-rw-r--r--. 1 root root  108285070 Jun 25 15:03 37.1.done.44.m2p6
-rw-r--r--. 1 root root   94958345 Jun 25 19:06 37.1.done.45.m2p6
-rw-r--r--. 1 root root   84287105 Jun 25 21:55 37.1.done.46.m2p6
-rw-r--r--. 1 root root   74528680 Jun 26 00:39 37.1.done.47.m2p6
-rw-r--r--. 1 root root   64675225 Jun 26 07:21 37.1.done.48.m2p6
-rw-r--r--. 1 root root   56631930 Jun 26 09:30 37.1.done.49.m2p6
-rw-r--r--. 1 root root   50416050 Jun 26 12:12 37.1.done.50.m2p6
-rw-r--r--. 1 root root   45213285 Jun 26 15:36 37.1.done.51.m2p6
-rw-r--r--. 1 root root   39649440 Jun 26 17:15 37.1.done.52.m2p6
-rw-r--r--. 1 root root   34821270 Jun 26 18:55 37.1.done.53.m2p6
-rw-r--r--. 1 root root   30667405 Jun 26 20:22 37.1.done.54.m2p6
-rw-r--r--. 1 root root   27676255 Jun 27 05:34 37.1.done.55.m2p6
-rw-r--r--. 1 root root   25605995 Jun 27 06:34 37.1.done.56.m2p6
-rw-r--r--. 1 root root   22968190 Jun 27 07:35 37.1.done.57.m2p6
-rw-r--r--. 1 root root   20430430 Jun 27 08:35 37.1.done.58.m2p6
-rw-r--r--. 1 root root   18187450 Jun 27 11:42 37.1.done.59.m2p6
-rw-r--r--. 1 root root   16011875 Jun 27 13:26 37.1.done.60.m2p6
-rw-r--r--. 1 root root   13627540 Jun 27 14:14 37.1.done.61.m2p6
-rw-r--r--. 1 root root   11619670 Jun 27 15:47 37.1.done.62.m2p6
-rw-r--r--. 1 root root   10039605 Jun 27 20:45 37.1.done.63.m2p6
-rw-r--r--. 1 root root    8885900 Jun 27 22:47 37.1.done.64.m2p6
-rw-r--r--. 1 root root  414339300 Jun 28 21:26 37.1.donex.65.m2p6
-rw-r--r--. 1 root root 8903073910 Jun 30 08:07 37.1.donex.66.m2p6
-rw-r--r--. 1 root root 8078712545 Jul  1 08:29 37.1.donex.67.m2p6
-rw-r--r--. 1 root root 2263326025 Jul  3 20:41 37.1.donex.68.m2p6
-rw-r--r--. 1 root root 2622249065 Jul  7 08:21 37.1.donex.69.m2p6
-rw-r--r--. 1 root root 2063027690 Jul 10 00:09 37.1.donex.70.m2p6
-rw-r--r--. 1 root root 1674586785 Jul 12 07:43 37.1.donex.71.m2p6
-rw-r--r--. 1 root root 1369893065 Jul 14 00:53 37.1.donex.72.m2p6
-rw-r--r--. 1 root root 1125102160 Jul 15 13:12 37.1.donex.73.m2p6
-rw-r--r--. 1 root root  923959180 Jul 16 17:09 37.1.donex.74.m2p6
-rw-r--r--. 1 root root  756422140 Jul 17 16:02 37.1.donex.75.m2p6


The latest 39s are
Hidden Text: Show
Code: Select all
...........1..2.34.324516.7...8......1..7534..63214.58..61.8.75.8..274..1.754.8.3
...........1..2.34.324516.7...8......2..7534..63124.58..62.8.75.8..174..2.754.8.3
...........1.23.45..45.6173..8.6..5..153.2.68.2.8.5731.4...8...1.26.4.878..23..14
...........1.23.45.23.45.61.15.7.....765.241.2.8....57.672.8..41...67.8.8.24.1.76
...........1.23.45.24.51.36.43.7.....763.25.42.8....73.672.8.5.4...67..88.25.4.67
...........1.23.45.2451.367..628..34..84..5...47.35.86.7285.6.3.8..7..5.6..3.2..8
........1..2.13.45..354.62..47......32.4...878..73..64.743.5.1.23817..565.1.2..7.
........1..2.13.45..354.62..473.5.1.23817..565.1.2..7..74......32.4...878..73..64
........1..2.34....351.6.24...7.....5.3461.787.6.83.1..54.12.872.7.481..38.6.7..2
........1.12.3456.5.3.61427......84...8..67.22.7.4.61..2..7..8..7168.2548.541....
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

Re: 1492+10=1502

Postby eleven » Mon Jul 21, 2014 11:06 am

dobrichev wrote:What is your updated estimation for the total number of 39s?

Something between 2000 and 60000 :)
However i like the "smooth cspline" curve best for 5000 39's and 3 40's.
Image
But look at the curves for the Titius Bode law, who in the 18th century found a simple formula for the distance of planets to the sun, which now turned out to be very good also for other suns (and no one knows why). Then you know, how sure i am, that my curve is correct.
eleven
 
Posts: 1535
Joined: 10 February 2008

1502+3+7+5+1+12+21+19+12=1582

Postby dobrichev » Fri Aug 01, 2014 8:59 pm

He too likes the smoothness and all defects are resonances.

Seeing the latest progress, my re-estimation of the upper limit is maximum of 5000 39s and possibly few more 40s.

The latest puzzles in order of their appearance
Hidden Text: Show
Code: Select all
...........1.23.45.24.5631...2..517...3..7.28.17.825.4.48...7...76.3845113..7..8.
...........1.23.45.24.5631...2..547...3..7.28.47.825.1.18...7...76.3815443..7..8.
........1..2.3456...31257.4.2...8...3.8.521.66..317..2.36.814.7.87.4361.4...7....

Code: Select all
.............12.34.13....52....6...7.86.7452.37.285.61..84.7.1..3..21.48.4183.275
.............12.34123.45.67...1.4.833...68..58.1.5.64..165.7.282...81.767.8.2..5.
..........12.34.563.517.42....7.....17.543.622.3.81.74.314.5.875...1864.8.......5
........1..2..3.4..41.523.6.1...7.8..87.36.146.4..17.3.26.7..38.783.54.24...28..7
........1..2..3.4..41.523.6.1...7.8..87.36.146.4.817...26.7..38.783.54.24...28..7
........1..2..3.4..41.523.6.1...768..87.3..146.4..17.3.26.7..38.783.54.24...28..7
........1..2.1345..146572.3..7.685.4..8......64.57.3.8.2..86..5.7.24.8...867.51.2

Code: Select all
...........1.23.4524..156.3.17.82364.84..1..76....7.8..5..7.43..76.3..524...587.6
..........12.34.56.3516.4.2....71.8..7.48..6..81.537.4..8..76...27316.481..84...7
........1..2.13.4..1..253.6....718..17..826342.83.4.17.26..8.7374..3...88....746.
........1..2.13.4..14.52.36.....5.7...5.783.4.4723...8.715...834.6.871..58..21.67
........1..2.13.4..14.52.36.....5.7...5.873.4.4723...8.715...834.6.781..58..21.67

Code: Select all
..........12.34.56.35.674.2..8.....1.217.3.483.4.8152..53.7826..8.......24.3.6.85

Code: Select all
.............12.34.13..4562....25.78..74.86.5.58.7.423.4...7.8..718..2.6.86241..7
...........1..2.34.3.14..52.46..1..77...6...58157...63.642.8.7.18.47..262.7.16.48
...........1..2.34.3.14..52.462.7.8.17.48..262.8.16.47.64..1..87158...638...6...5
..........12.34.56.34.5612......7.8..47.8.5.1.81543.67.234...75.7..2.6..4.8..5.12
..........12.34.56.35.2614...36.781...834..67.7..82..4.61..348..874..6..3....8.71
..........12.34.56.356.2174...4...8...48.76.1.81.63.47..8.....2.2.3.6.181.32.876.
........1..2.1345..13.45.26..7....8..3857.9.229..38..5.81.572..32..815.77..3....8
........1..2.34.5..3516.427..6....78.2..8.6...58.76214.83.1..4.2..85.1.35...43.82
........1..2.34.5..3516.427..6....78.28.76514.5..8.6...83.1..4.2...43.855..82.1.3
.......12....134....52.43....26.78.1.6...27..7.81352.6..4.516.8.564.81738..3....4
.......12....134....52.43....4.516.7.564.71837..3....4..76.82.1.6...28..8.21357.6
.......12....134....52.43....4.516.7.574.61836..3....4..67.82.1.7...28..8.21357.6

Code: Select all
.............12.34.13..4562....25.78..74.86.5.58.7.423.4...7.8..718..246.862.1..7
...........1..2.34.2.354.61..2..7..8.38521.7617.4.83...8..7..4.2..8.3..771.245.83
...........1..2.34.2.354.61..2.37..8.38521.7617.4.8....8..7..4.2..8.3..771.245.83
...........1..2.3423.14...5...6.....61.425.787528.1.46.257.6..31.7.5..6.36.21..57
...........1.23.45.2415.36...6.3147...726..3..13..7.26.7.......132.75.8464..1275.
...........1.23.45.2415.36...7.6..3..13..7.262.6.3147..7.......132.75.8464..1275.
...........1.23.4523..45.16..3.7.....2753..6885.4.2.7..1..87.5..72354.81.8.2...37
...........1.23.4523..45.16..3.7.....2753..6885.4.2.7..72.54.81.8.2...3731..87.5.
...........1.23.452345.6.17..8..21.6413..8.526......84.872...6.14..67..83.68...71
...........1.23.4524..51.63.6..75..87.4.825368......7..8...73.11.753..844...18.57
...........1.2345624..1573...4.6851.6...5.38.8.53.16.4..8..2...1...8.24.4.213.87.
..........12.34.56.35.16724.....7.8..23.4.6..5.736.4.2.5..8.2.7.714...682.8.7.14.
..........12.34.56.35.16724.....7.8..23.6.4..5.734.6.2.5..8.2.7.716...482.8.7.16.
..........12.34.56.35.16724.....7.8..53.4.6..2.736.4.5.2..8.5.7.714...685.8.7.14.
..........12.34.56.35.16724.....7.8..53.6.4..2.734.6.5.2..8.5.7.716...485.8.7.16.
..........12.34.56.35.2641...4.1..7..21.7368..78..21...4328..6..8..47...25.36.84.
..........12.34.56.35.2641...4.1..7..21.7386..78..21...4326..8..8..47...25.38.64.
..........12.34.56.35.2641...6.1..7..21.73.48.78..2..1.6324..8..8..67...25.38..64
..........12.34.56.35.2641...6.1..7..21.73.84.78..2..1.6328..4..8..67...25.34..68
........1..1.23.4..52.413...16435.78.75.186.48...7.1...2..8..6..67..4..25.8.624.7
........1..2.34.5..3516.427..6....78.28.76514.5..8.6...83.1..4.2.1.43.855..82...3

Code: Select all
.............12345.34.5627...3..5.8..51.684.784.17.5.2.17...82.3...8.7.448..2..13
.............12345.34.5627...3..5.8..51.684.784.17.5.2.17...82.38..2..144...8.7.3
...........1.23.45.24.513.6..7.82.5..1..478...821.5.73.48.1..37.5...8..4.76.345.8
...........1.23.45.24.6.13...75.2.8...863...72.6.7835..1..8..73.7235.81..8..1756.
...........1.23.45.24.6.13...75.2.8...863...72.6.7835..1..8756..7235.81..8..1..73
...........1.23.45.24.6.13...75.2.8...863...72.6.8735..1..7856..7235.81..8..1..73
...........1.23.45.62.41.73.1..32.58.581...3.2.3.85.6..26.14.87.8.2.6..41.4..8..6
..........12.34.56.35.26714..34.1.68.68..3.4.1...68..7..7.42.81.21.8.473.8......5
..........12.34.56.35.26714..36.1.48.48..3.6.1...48..7..7.62.81.21.8.673.8......5
..........12.34.56.35.621.4.....7.68.78.4.5..5.6.834.7..7.1..8..5...86.1.813.6745
..........12.34.56.351.67.2..4.71....213.86..38.64.5...584632.7.7.......2.3.17.65
..........12.34.56.351.672...4.71....213.86..38.64.5...5846327..7.......2.3.17.65
........1.12.34...5.3.61472..5..67...27.85.648...4..25.71..8.4.2...138..3.847..16
........1.12.34.56.5361.42...5..7.68.2..8.74..78.462.5.87......23.86.5..5...73.82
........1.12.34.56.5361.42...5..7.68.2..8.74..87.462.5.78......23.86.5..5...73.82
........1.12.34.56.6315.24...7.4.6...2...3.7.63478..25.71......24.31...73.647..12
........1.12.34.5663..5124.....78....734...8586.5.34....7.4..68.26.875.4.8...572.
........1.12.34.5663..5124.....78....834...7576.5.34....8.4..67.26.875.4.7...582.
........1.12.3456..531.742...8..16.2.21..685.5...8..1..35..8.76.876.32.52..7...8.

Code: Select all
..............1234..23546.7.....8..6.265173.85.8.36721...8.54.3..417.8..8...43.72
...........1..2345.23.4561...64.7.8...7.2856.2.8.56.3..7..814..1...7.85.8.25.417.
...........1..2345.23.4561...64.7.8...7.2856.2.8.56.3..7..814..1.25.487.8...7.15.
...........1..2345.23.4561...64.7.8...7.2856.2.8.56.3..7..841..1...7.85.8.25.147.
...........1..2345.23.4561...7.2658...84.7.6.2.6.58.3..7..814..1...7.85.8.25.417.
...........1..2345.23.4561...7.2658...84.7.6.2.6.58.3..7..814..1.25.487.8...7.15.
...........1..2345.23.4561...7.2658...84.7.6.2.6.58.3..7..841..1...7.85.8.25.147.
...........1.23.45.2465.173...28...7..2.76.58.873.5.1...8.6..31.4.5...8.1.683.524
...........1.23456.45.162.7....81..5.382..6..51.36.8.2.5...87...83.725644.7.3...8
...........1.23456.45.162.7....81..5.832..6..51.36.8.2.38.72564.5...87..4.7.3...8
..........12.34.56.35.621.4.....7..8.7864.5..5.6.834.7..7.1..8..5...86.1.813.6745
........1..1.2345..246.1.37...5......42.76..5.653.27.4.16..8...25.1.7.484.82.51.3

All 40s, 39s and 922706 38s are updated here.
95,845,113 37s are involved in the search so far.
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

38 minimals reached 1 000 000

Postby dobrichev » Mon Aug 18, 2014 6:30 pm

ravel » Tue Jul 17, 2007 12:40 pm wrote:Hey, another look and here it is:
Code: Select all
     +-------+-------+-------+
     | 3 1 2 | 6 7 . | . 5 4 |
     | 7 . . | 4 . . | . 3 6 |
     | . 4 6 | 5 . . | . . 2 |
     +-------+-------+-------+
     | . 7 1 | 3 . . | . 6 8 |
     | . 6 . | 2 . 7 | . . 3 |
     | . . 3 | . 6 . | . . . |
     +-------+-------+-------+
     | . . . | . 2 . | . 4 . |
     | 1 . 7 | 8 . . | . . 5 |
     | . 2 4 | 7 . 5 | . 8 1 |
     +-------+-------+-------+


More than 7 years later the number of known 38-givens puzzles reached 1 million.

This puzzle is 1,000,000-th and is dedicated to ravel.
Here it is
Code: Select all
... ... ...
..1 .23 .45
264 5.7 .13

.23 7.5 .8.
5.8 ..6 ...
647 2.8 ..1

.3. ... ...
4.6 87. .32
8.. 3.2 1.4
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

1582+13+16+14+6+5+4+2+2+3+1+5+2+1+2+7+16=1681

Postby dobrichev » Wed Aug 20, 2014 9:20 pm

The results so far.

New 39s
Hidden Text: Show
Code: Select all
.............12.34.13.45627..8.26..3.27.8..6.36.5...82.821.73..631.54.787....8.4.
...........1..2345.23.4561...7.2658...84.7.6.2.6.58.3..8..714..1.25.487.7...8.15.
...........1.23.45.2..4613.....7831...3.....8.18.32754.3726..81.86..74..192.84.7.
...........1.23.45234.56.71.........412.6..587.62.541..23.781.4.48..2.371.7.3..8.
........1..1.23.45.62.417.3....7.....58.643.76.7..54.8.25.168.4.8...21..1.648.5.2
........1..1.23.452546.173...8.......478.2.165261.7.84.623...5.4.52.8.6.8....64..
........1..1.2345.245.16..3.12.....746..715..5.7.681.4.2468.3.5.56.327.83........
........1..1.2345.245.61..3.12.....74.7.86.1556..17.4..26.38.74.546.2.383........
........1..1.2345.245.61..3.12.....746..175..5.7.861.4.246.83.5.56.327.83........
........1..1.2345.245.61..3.12.....746..175..5.7.861.4.26.387.5.546.23.83........
........1..2.13.4..315.4.62.....7.28.23.81..7.78.52413.4..38.76.87......3.67.5.84
........1..2.13.4..3154..62....7..28.23.81..7.78.25413.4..38.76.87......3.675..84
........1..2.1345..31.46..7.1.3.2.48.83465.1.2...81....28634.75.5.....8.3.7.58..4

Code: Select all
.............12.34135..4.26.71.26..858..71.6262.8...7.2571.8.4331..45.8.8....7...
.............12.34135..4.26.71.26.8.58..71.6262.8....72571.8.4331..45..88....7...
.............12.34135..4.62.71.26..858..71.2662.8...7.2571.8.4331..45.8.8....7...
.............12.34135..4.62.71.26.8.58..71.2662.8....72571.8.4331..45..88....7...
...........1.23.45.2456..17.......8..8.25.7.424.8...53.183.2.7643.68...16.21.5.38
...........1.23.452645.7.13.....5.8..18236.5752.8.4.61..2..8.36.4..6...8.8.3.21.4
........1....12.3..13.4.526.25.7...8.78.2631536..8.27..8.7..6.3537.64.8.6....8.5.
........1....12.3..13.4.526.25.7..68.78.2631536..8.27..8.7....3537.64.8.6....8.5.
........1....23....45..1236..7.3...8.817.2.634.3..8.27.58.14.72.7..85.1.1.42.7.85
........1....2345.2451.6.37.51.62.4.6.48...1.82...15...8.......4.26.8.755162.7.84
........1....2345.2451.6.37.51.62.4.6.48...1.82...15...8.......4.62.8.755126.7.84
........1....2345.2451.6.37.51.62.4.6.48...1.82...15...8.......4126.7.855.62.8.74
........1....2345.2451.6.37.51.62.4.6.48...1.82...15...8.......4162.7.855.26.8.74
........1..1.2345.24..15.36..23.6.45.5.......6.4.52.73..6..8.1..1823..6442..6138.
........1..1.2345.24..51.36..256..43.3.......6.4.32.75..6.8..1..182.5.6442..1658.
........1.12.34...53.6.1247..1..37.827...8.6338..6712..2.8.5..6.5..468.28...7.5..

Code: Select all
.............12345.13.45..6..6..75.8.7..8..343.8.546.7.34..18.2.51.28.638.2.7..5.
...........1..2.34..3.1452...2.673....6.25.47.7.4..26..18.76453.3754168.6....8.7.
...........1..2.34..3.1452...2.673....7.25.46.6.4..27..18.76453.3654178.7....8.6.
...........1..2.34.23.546.1..7...8..3.2.87.1.8..4.1.73.75.4836.2.8..6.5763..751.8
...........1.23.45264.153.7.18.5..7454.17.8.66.....5...8..3..6.13...74.84.6.817.3
..........12.34.56.34.561.2..6.78....273658...834.2.75..8..7....7.64.2.824..83..7
........1......23...2.13.45.....6.7..57481.626.8.27514..3.4...6.2.678.538...35427
........1....23....45..1236..7.3...8.867.2.134.3..8.27.58.64.72.7..85.6.6.42.7.85
........1..1.2345.4521.6.37.246.8.751652.7.848.........468...1.2.8..15..5...62.4.
........1..1.2345.4521.6.37.256.8.741642.7.858.........468...1.2.8..15..5...62.4.
........1..1.2345.4521.6.37.468...1.2.8..15..5...62.4..642.8.751256.7.848........
........1..1.2345.4521.6.37.468...1.2.8..15..5...62.4..652.8.741246.7.858........
........1..2..1.3..1..34.25..64...78.847.32..72..68..3.68..7.5.25..46.8747..856.2
........1..2..3.4..14.25367..6..87.4.87..613.4237.1.86..8......24.3.7..86.1.824.3

Code: Select all
.............12345134.65.72.......8..1..287.484.6.152..76.3..5838...64.7451.8..3.
..........12.34.563.517.84.....2......3.4168.67138.42..57..32..1.6.5..7.23..1756.
..........12.34.563.517.84.....2.....23.4168.67138.42..3..1756..57..32..1.6.5..7.
........1..2..3.4..14.25367..8......24.3.7..86.1.824.3.87..6.3.1.6..87.44237.1.86
........1..2.3456..35.16724..8..7.15.17.4.28.52..8147..53...8...814.3.522....8...
........1.12.34...5.3.61.24..7..3.8...8.4.7.225..784.3.81.572..325.86..77..31...8

Code: Select all
........1....2345..241.5.3...23.61.43....7.6.4.6218.73..56..7..2.75.1.466...72.15
........1....2345..241.5.3...25.61.44.6217.855....8.6...36..8..2.83.1.466...82.13
........1..2.1345..4165..2...7.......84.6527.62..875.4.1.83.7...78..61..236.718.5
........1.12.34.5..651.2437..1..8....832.1.4525.34..18..84.75...7.....8.52.8.3.74
........1.12.34.5..652.1437..1..8....831.2.4525.34..18..84.75...7.....8.52.8.3.74

Code: Select all
.............12345134.5..2..46..578.3...7..6271...6453.63..1.7.47......6821.67.34
........1.....234...3.142.5.....67...582.71.6.761.8.52.378....456.4.38.78.47.15.3
........1..1..234..32.41.56.....7....8342..172.7.18534..8.7..6.3.6..4.757..2.6483
........1..1..234..32.415.6.....7....8342.1.72.7.18453..8.7.6..3.6..47.57..2.6834

Code: Select all
........1..1.23.4..541.623...72...8.4....8..75.86.7423.467.1352.75.62.141......7.
........1..1.23.4..546.123...72...8.4....8..75.87.6423.461.7352.75.62.141......7.

Code: Select all
........1..1.23.452641.5.37..7.......482.1.7662..781.4.82..7.6343.8.....7.6.324..
........1..1.23.452641.5.73..7.......482.1.6762..781.4.82..7.3643.8.....7.6.324..

Code: Select all
........1.12.34.5..5361.72...78......85.632.723..7...8..8...1..32618.4.557..46.82
........1.12.34.5..5361.72...78......85.632.732..7...8..8...1..23618.4.557..46.82
........1.12.34.5..5361.72...78......85.632.732..7...8..8...1..27..46.8553618.4.2

Code: Select all
...........1.23.45.23.467.1..5.824...8.......23.6541.8.582.7..43.2.685.771..358..

Code: Select all
...........1.23.45.24.56.71.18..2.5..7..851.44.5..7.82.46.38.1..87.6.4.31...7..68
...........1.23.45264.571.3..7..8....28.754.11.326...7.3..86.14416.32.788.....3..
...........1.23.45264.571.3..7..8....28.754.14.326...7.3..86.14146.32.788.....3..
...........1.23.45264.751.3..7..8....28.574.11.326...7.3..86.14416.32.788.....3..
...........1.23.45264.751.3..7..8....28.574.14.326...7.3..86.14146.32.788.....3..

Code: Select all
.....1..2..1.3.45..6425..31..7.....34..36..276...2754..76.82.141...7..8.84..13.75
.....1..2..1.3.45..6425..31..7.....54..56..276...2734..76.82.141...7..8.84..15.73

Code: Select all
...........1.23.45.234.56.1..73......35..7.166...51.7..725.4.683567.8.244.8..2..7

Code: Select all
...........1.23.45.45..1.32....6..78.76.82.548.43.72.6..72...8.4.87.65235...38..7
..........12.34.56.3562.41...1...67..58.671.4.7..4..85.2748..61.8....7..16..72.48

Code: Select all
...........1..2.34..2.34156.17.23.6832..8..178.6..7..3.68.75.41.7..4....14..68.75
...........1.23.45.2..641.3....7....21..483.77.63.24.1.62..75..15..867.48.7.35.16
...........1.23.45.2..643.1....7....21..487.37.63.21.4.62..75..15..864.78.7.35.16
...........1.23.45.246...31.....7..3.372..48.6423.8.17.785...6.25...6.744.67.2.58
...........1.23.452647.5.13..38.25.16.2..7.388..3...6...8..6..4.462.815.12.5.4.8.
........1..1.23.4.245.167.3..2..7..84.8.523..57..3.4.2.57.618.41.438...78...7.1..
........1..1.23.4.245.617.3..2..7..84.8.523..57..3.4.2.57.168.41.438...78...7.1..

Code: Select all
...........1..2.34..2.31.56..67.4.8..18.5..47.74.186.5..7.85..3.831.756.1...63.78
...........1..2.34..2.31.56..67.4.8..28.5..47.74.286.5..7.85..3.832.756.2...63.78
...........1..2.34.32.41.56..57.3..8.18.6..73.73.1856...7.86.4..8.1.76.51...54.87
...........1..2.34.32.41.56..57.3..8.28.6..73.73.2856...7.86.4..8.2.76.52...54.87
...........1.23.4524..15.36....783.4..7.5..8.48..3..57.14.6..78.76.8142382...7.6.
...........1.23.4524..15.36....784.3..7.5..8.48..3..57.14.6..78.76.8132482...7.6.
...........1.23.4524..561.3..7..4...18.2.7.5442.5.87.1.12..5.383...8...787.3.251.
...........1.23.45243.5..16..7..6.8..28.376.113..8..74.84.721..31.86...77.23....8
...........1.23.45243.56.17....8.....286.547.4.62.758..3....1...823.1.541.4.6273.
...........1.23.45243.56.71....8.....286.54.74.62.75.8.3....1...823.1.541.4.627.3
........1....2345.2451.6.73..78.......8.32.4742.6.7.85.342...1851...8...8.23.15.4
........1....2345.2451.6.73..78.......8.32.4742.6.7.85.823.15.415...8...3.42...18
........1..1.2345.24..516.7....8.1...185.2.64.24.168.5..7.6..43.3...57..4.2.375.6
........1..1.2345.24..516.7....8.1...185.2.64.24.168.5..7.6..43.3...75..4.2.357.6
........1..2.34.56.36..524...7.8.....184.3.2732.7.1.85.6...7....7134..622.3.16.74
........1..2.34.56.36..524...7.8.....185.3.2732.7.1.84.6...7....7135..622.3.16.75


the counters show
Code: Select all
          2 x 40
      1,681 x 39
  1,035,407 x 38
114,358,266 x 37

The lists with 39s and 38s are updated in https://sites.google.com/site/dobrichev/sudoku-puzzle-collections.
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

Re: High clue tamagotchis

Postby Serg » Thu Aug 21, 2014 3:09 pm

Hi, Mladen!
I took a look at your 39-clue puzzles. It seems all of them have only 8 digits (1-8) among their clues. Right?

Serg
Serg
2017 Supporter
 
Posts: 511
Joined: 01 June 2010
Location: Russia

Re: High clue tamagotchis

Postby dobrichev » Thu Aug 21, 2014 3:27 pm

Right, this was discussed earlier in this thread here.
dobrichev
2016 Supporter
 
Posts: 1311
Joined: 24 May 2010

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