Greatest divergance possible in dual solution puzzle?

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

UA60+ collection update

Postby dobrichev » Sun Nov 18, 2012 11:22 am

Hi,

The updated collection is available for downloading here.

It contains list with 81 UA62, 22 524 UA61, and 1 024 029 UA60 generating pseudo-puzzles.
The collection is closed up to {-2} and less than 3000 solutions for {-2} seed.
Bi-directional search is done, i.e. each 2 solutions A and B are compared A to B then B to A in order to capture possible weakly-minimal UA.
The pseudo-puzzles with more than two solutions generate only one weakly-minimal UA, the rest UA are non-minimals.

Pseudo-puzzles statistics:
Hidden Text: Show
Code: Select all
Large Unavoidable Sets statistics

  Count Exemplar                                                                         Givens Solutions
     70 ................12..3..4........53...1..6....2..7.......5..34...6.2....87...1..9.    19     2
      4 ..............1..2..3.4..5............4.5.63..1...78......8.19...6.3.....2......7    19     3
      6 ........1..2..3....4..5..6......72...1.......6...4...5....6..5...7...3...8.1....9    19     4
      1 ..............1..2..3.4..5.......4....6.3.7...2.8....1..4.7..3..5...2..91........    19     6
----------------------
     81 Number of UA62 generating pseudo-puzzles

  17371 .................1..1..2.3...2....43.5..6..7.7..8..5....4..3..2.6..7....8..5.....    20     2
   3953 .................1..2..3.4.......5....4.6..7..8.1....3..5..4.2..3.9....81...7.6..    20     3
    748 .................1..2..3.4.....5......6..43...1.7....8..3..62...8.1...9.7...9..5.    20     4
    301 ................12..3..4........56....4.7...3.8.1...5...6..3..4.1..5..8.2.....7..    20     5
     62 .................1.23.45..........6...1..3..78...274......1.8....7.....3.4..6.2..    20     6
     62 ...............123..4..5..6..1..47...2..8....3..9.......5..7..4.8..3....9..2.....    20     7
      6 ................12..3..4.....1..3.4..5..2...67..8.......4..13...2..5...79..6.....    20     8
     11 ................12..3..45......1...6...2...7..8...54....1.6.....2.7.....4.5..83..    20     9
      2 ..............1..2..3.4..5.......4....63...7..1...2..5..4.6..3..2...8..15.....9..    20    10
      3 ..............1..2..3....4...4.5.6...2.3......7...6..1..8.4..3..6...9...1...2.7..    20    11
      1 ................12..3..45.......34...1..6..7.8..2.......4.7.6...9.......52.1...8.    20    12
      3 .................1....2345........2...3..46...7.8....9..2.5..7...61....84.....3..    20    13
      1 ...........1..2..3.4..5..6........47..2..89..3...6......8..32...9.4.....6...7....    20    17
----------------------
  22524 Number of UA61 generating pseudo-puzzles

1024029 .................1.....1234..1..5..6..5..4.....789......4..6....2..3..8.3..2..9..    21     2
 312748 .................1.....2.34..1.5..6..4...32..7..8.......59....8..6.1..7..2...43..    21     3
  49158 .................1.....234...1....5...6.7...8.4...92....8.1...6.3..2..7..5...49..    21     4
  21292 .................1.....234...1....5...3.6.7...8...4..9..75..6...4...3.2..9..1...8    21     5
   3187 .................1.....2.34..1.4.5...2.6....73....8.9...47..6....5.1....8....3.2.    21     6
   3652 .................1....23.4......5..6..1...7..78..4..3..4..9..8.3....75..6..1....2    21     7
    376 .................1..2..3.....3..4.2..1..5.6..7..8....9..4.6..3..6.1..5..5...9...6    21     8
    665 .................1.....234...1.3.5...2...4...6..7....8..31....7.4...6.2.8...5..9.    21     9
    181 .................1..2..3.4......2.3..1..5...64..7..8....3..7.2..8..9...57.91.....    21    10
    140 .................1.....234...1....5...3.6.7...8...4..2..75..6...2..1...8.4...3.9.    21    11
     18 ................12..3.14.......2...5...6......47..3.8...2.3.7...5.9....61....8.4.    21    12
     84 .................1....2345........2...16....7.3...48...2..5..9..8.1....64....73..    21    13
      7 ..............1..2..3.4..5.........6..57...3..1..82.....7.3..9..8...6..42...5.1..    21    14
     12 ..............1..2.34....5.....3.....652...4.7....4..1..15....4.8.6...3.9....7...    21    15
     10 ................12..3..4.......1..4...5.6.7...8.9....3..7..35...1..9...64...2..8.    21    16
     12 ..............1..2..3.4..5...6....3..1...24..5...7......7.6..8..4.3..9..2....51..    21    17
      5 ................12..3..45.......1..6..4..7.3..8..2.9...6...3.4.2..9....75.....8..    21    19
      2 ..............1..2..3.4.56....5..3....4.6..7..1...8..9..6......23...9.489........    21    21
      1 ........1.....2.3...4...5.......3.6...5.78....3.4..9.2....5.4...6.1...7.2.......8    21    22
      2 ..............1..2..3.4..5...6....3..1...24..5...7......7.6..8..4.3..1..2....59..    21    25
      1 ........1.....2.3...4.5........4......36....5.7...1.2...5.6...4.2...7.8.9..3..1..    21    26
      1 ........1..2..3....4..5..6.....4..5...3..71..2.......8..8..9..4.5..6....7..1..3..    21    33
----------------------
1415583 Number of UA60 generating pseudo-puzzles

======================
1438188 Collection size


There are 96 UA62. All sets have only one solution and identify the grid, givens and non-givens uniquely.
Hidden Text: Show
Code: Select all
....12345.12.36.78394758612.46.752311.569348.78.2415.9.71329.562581.479.63958.1.4
....12345.13645728542.7896..6452387.2397.14.685749..13.78.645924.1859.3769.2371.4
....12345.34.67.18125843679.46.5819335962.4.78714.952..82394.6149.17.8526.72.5934
....12345.34.67.18159843672.46.5813732567.4.98714.952..87194.6349.72.8516.23.5794
....12345.34.67.81152843697.46.9817332967.45.8714.59.2.87129.3629.75.8146.53.4729
....12345.34678.19129.53768.47.9615338572.49.6915.48.2.62185.377.83.952495.24.681
....12345.36.78.19124953786.51789.3234726.5.89825.416..95126.7326.84.9517.83.5624
....12345.36.78.19125943768.72.5913434876.5.29512.468..89126.732.438.95676.4.5821
....12345.36.78.19125943786.41769.3238725.6.49628.415..98125.7325.48.9617.43.6528
....12345.36.78.19152943768.75.8912332876.5.49412.568..89326.712.485.93676.1.4852
....12345.367482.9412.39786.83.7592425189.63.7493.6.51.972534.836.9.15728.546.193
....12345134.65.78258734619.1238.7944.7529.3696.4.18523792.84.16.5.47.8384169.52.
...123456.12.457895647893.1.475312.812349.67.8952.6.43.86.175.443.85296.7.9364.12
...123456.12.47.89435896721.28419.371632.589.79436.2.5.79.81.4225.73496.8.69521.3
...123456.12.74.89435869721.28491.6715623.89.7946.52.3.79.18.4556.74293.8.39561.2
...123456.12.74.89453986712.27.691481367.82.598425.63..98.12.742.583.96176.4.5823
...123456.145.78.2265984173.478.25.119.37564.8.3641.29.812593.7539.16.8472643.91.
...123456.1456738935698.2.7.673958.2542.1697.8934.2.61.8973.6.56.1258.9472.64913.
...123456.1456738963589.27..4978.613381.59.247264.18.5.7831.96.1.2.4853795.2.6148
...123456.1456789335689.7.2.673852.9542.16.789834.216..9873.5.44.125968.72.648.31
...123456123.45789456879.21.48.31.6736945.8.27129.653..71.98.4323576.19.8943.26.5
...123456124..783936598.2.7.3184976.29763.5.484.275.914783.612.6.245.973953.12.48
...123456124.573895369487.1.68.915.23.2864.1797.23564..95.128.42475.6.9381347.26.
...123456124.578.3563894271.58.419.73465.9.8271926.34..71.825.449273.61.8354.6.29
...123456124.578.9536849172.17.869.546279.31.8593.2.64.85.316.76935.428.74126..93
...123456124.7.8.9563948721.48759.1337.81296.9.24.65.725139..784.65.7192897.6134.
...123456124.7.8393654987.2.58317.9447.86912.6.95.23.7.91734.687329.65.184.25197.
...123456124.758.9536.89172.179346.54687.2.1395386.24..95.187.468254.39.7413.6.28
...123456124.758.9536849172.58.169.746259.38.7193.2.64.71.386.56937.421.84526..93
...123456124.758.9536849172.58.312.724356.98.7912.4.63.72.186.546.79231.8.9356.24
...123456124.758.9563894172.47.183.53.674291.89.356.24.85.312.741926..837325.964.
...123456124.758.9563984172.59.167.448653.29.7124.8.63.71.493.523576..489483.261.
...12345612456.738563478.91296.5481.3579.16.248.63..756152.73.973.89..64948.1652.
...1234561457.8.293269.48712.8397.1449351.76.751.862.358263.1.7617.4593.9.42.1.85
..1.23.45.246.78.9693584271.16..2984247.9156385.3461.7138.65.9246527931.97.1.84.6
..1.23.45.674.839.324597168..9786.23736.52.1485.1.49762.5.41.3941836925769.27548.
..1.23.4524.5.678968.79.32113768.29.5.4179.368964.25.73...514724123679.875924816.
..1.23.4524.5.678976.89.32113927.86.5.4168.326824.95.73...5147845768219.9183472.6
..1.23.4526.1.78.9348569172.26.35.1419.68.3.7537491268.52.14.8341937852678.2.649.
..1.23.4526.478391843.95.6713658.72.5.4967.837982.14.63.9.4657245271.6.86873.291.
..1.23.4526.7.18.934759862115643.2987.8.1536493.2.61.748937251.5.2864.7367.1.94.2
..1.23.4526.78.31995.4.672813769.8.24.5178.636895.247.3...4158751836729.7428591.6
..1.23.4546257.8935938.6127.24.175381783.926.63548.7.925..34.813.72984.68.916537.
..1.23456.2456789.96514..37.976.5182583271.64612.9437.1367825.924.35..187.84.962.
..1.234562345.7.8968519.3.7.29.4176.3.8.5629474.289531.6247591.19763.8.54539.8.72
..1.2345624.7.18.9639485271.58614.2317.2.8.944.357961..6214.985517.9634.89.3521.7
..1.2345624.756189695.187.3.27395.643.986421.86..713.54365.297.57.1396.891864..32
..1.2345624.756318536.1897..25869.4338..7169.9.75342.14931.25.765839..2471.64583.
..1.234562435.7.8965819.3.7.6247591.4359.8.7271963.8.5.97.4126.1.6.8953438.256791
..1.2345627..48.1953419682718.952.644596.723.62783.1.53624.597.71826.5.394..71.82
..1.2345645.76812.326.14798.958362.42.7495.3184..7156.5346.29.767.14938.91835..42
..1.2345647.5.89.3563194287.1538264.2.9456.7184.9.753..5863.72439.2751.8627.41.95
..1234567.235.689465498713.13769.2.548.3.197.962.45.1824816..5937.8.942.519.726.3
..1234567.235861945467.98.3157.9243.26814..7593.8.76.231947.25.472.65.8168.3.17.9
..1234567.256.18944769582.3163.2748.59.8.31.684719..5221846.73.63.7.59.8759.82.41
..1234567.2561789336798.2.4179.5238.5381.6.4264.87.9.12543.817.79.54.6.8816.29.35
..123456723..581.965479.28..2894567.41.3.6.9279681.354.7956.42854.1.9.3686342791.
..123456723..851.946579.28.17..528966.394.72.9281.635434.867915589.136.27.652.43.
..1234567235.86.91746951832.7382.64.5.94.71.386..19.2531267.9.44581.327.69.542.18
..12345672538.69.1476591382.4576.29.3.8.15.7469.3.21.8512.8743.76942..1583.1.9726
.12.34.563.47.589.597682143.4816..2517542368962.8.947.23657..1448..965377.93.12.8
.12.34.563.517.48.67.52893118..625.3546319.277.348.61925.6.7.984.829317.937.51264
.12.34.563.517.48.67.52893118..625.3546319.277.384.61925.6.7.944.829317.937.51268
.12.34.563.517.84.67.52893114..625.3586319.277.348.61925.6.7.984.829317.937.51264
.12.34.563.571.48.67.5281391.348.697546397.2178..625.325.6.9.784.827391.937.51264
.12.34.563.571.48.67.5281391.384.697546397.2178..625.325.6.9.744.827391.937.51268
.12.34.563.571.84.67.5281391.348.697586397.2174..625.325.6.9.784.827391.937.51264
.12.34.563.578.1.9679521384.346.2.952.74986.198..53472.6324951849831.2.752..67.43
.12.34.563.718.4.969.257381.35.61.722413786957.859.1.4.76.25.434.971.5.8583649217
.12.34.563.72.589.68.197423.5361..4712.7.938.479583162.64.215.829.3.867.538476219
.12.34.563.728.14969.57138..481526371.679..242756.389..8941.2.3423867.1556.3.9478
.12.34.563.728.14969.57183..431625781.579..242783.569..8941.2.7426857.1373.6.9485
.12.34.563.728.14969.57183..431625781.579..242783.596..8641.2.7429857.1373.6.9485
.12.34.563.728.14969.57183..431625781.879..242753.869..8941.2.7426857.1373.6.9485
.12.34.563.728.14969.57183..431625781.879..242753.896..8641.2.7429857.1373.6.9485
.12.34.563.728.14969.57183..481526731.679..242756.398..6341.2.8429867.1558.3.9467
.12.34.563.728.14996.57183..431925781.576..242783.569..8941.2.7426857.1373.6.9485
.12.34.563.728.14996.57183..431925781.876..242753.869..8941.2.7426857.1373.6.9485
.12.34.563.75.28.948.697132.53461.98128.7356469.28.3.7.79.5642123.7.968.546128.73
.12.34.563.75.81.948.691273.34.76.216512834977.91.53.8.76.52.342934176855.83.971.
.12.34.563.75.81.948.691273.43.76.216512834977.91.53.8.76.52.342943176855.84.971.
.12.34.563.75.81.948.691273.53.76421641283.977.91.53.8.76.52.342943176855.84.971.
.12.34.563.75.81.968.291473.24.16.351.89.32.7593472681.5632..142.91.75.8471685392
.12.34.563.75.81.968.291473.24.56.311934726855.83.92.7.76.23.142.91.57.8451687392
.12.34.563.75.81.968.291473.34.76.122.91853.77514.3698.73.52.644963172855.86.97.1
.12.34.563.75.81.968.291473.34.76.122.91853.77514.3698.76.52.344936172855.83.97.1
.12.34.563.75.81.968.291473.36.72.144.91853.77516.3298.74.56.322934176855.83.97.1
.12.34.563.75.81.968.291473.56.23.842.18.95.7498657312.74.82635523416.988.937.2.1
.12.34.563.75.81.968.291473.56.23.842.18.95.7498675312.74.82635523416.988.93.72.1
.12.34.563.75.819.48.69.273.51482639236.17.488.935.71.174.63.255.81.93.7693275481
.12.34.563.75.829.48.692137.34165.82598.7346162.8.937..76.21549159486.232.39.76.8
.12.34.563.75.829.68.291473.5612..471.93.768.473685129.94.165322.89.371.531472.68
.12.34.563.75.84.958.691273.45.16.321.83.95.7693275184.76.52.412314876954.91.37.8
.12.34.563.75.84.959.671283.45.961321.97.35.8683215.74.76.52.412314876954.81.93.7
.12.34.563.758.91.48.691273.49253.68531.674296.81.973..73.2654119.37.68.256418.97
.12.34.563.78.529.69.17.438.34.561.21264835795782.936..5162..432893.761.4.3591827


There are 4 solution grids having 2 UA62. Sets in the third one don't share any given cell, the rest three are from common base.
Hidden Text: Show
Code: Select all
123456789457189236698237415276318594519674823834925167342791658781563942965842371
1.345.7.9457.89236.982.7.152.631.594.19.7482.834925.67.4279165878..63.4296584.3.1
1.34567.9457.8923..982.7.152.631.594.19.7482.834925.67.4279165878..63.4296584.3.1

123456789457189236698237415276318594539674821814925367342791658781563942965842173
1.345.7.9457.89236.982.7.152.631.594.39.7482.814925.67.4279165878..63.4296584.1.3
1.34567.9457.8923..982.7.152.631.594.39.7482.814925.67.4279165878..63.4296584.1.3

123456789457189263689273415241568397396742158578391642735814926864927531912635874
1.345..89.571.926.6892734.5241568397.967.215.5.839..427358149268.492..31.126.587.
12345678945..892.36.927..152.156..9739..421.85783916427.581..2686492753.91..358.4

123456789457189263689273415265938147394761528871524396512697834736842951948315672
.234.678.4571892.36.927.415.65.381.739.7.15288.1524.9651269..3473.8.29.1.48315672
.234.678.4571892.36.927.415.65.381.73947.15288.152..9651269..3473.8.29.1.48315672

MD
dobrichev
2016 Supporter
 
Posts: 1316
Joined: 24 May 2010

Previous

Return to General