The New Sudoku Players' Forum

[Paquita]

E(nb-clues-total) = 27.9090156220591
E(nb-clues-oppos) = 4.9558065232823
Sigma(nb-clues-total) = 1.06196304523874
Sigma(nb-clues-oppos) = 0.975284962637362
correlation-coefficient(nb-clues-total, nb-clues-oppos) = 0.288334621738382
regression nb-clues-oppos = a * nb-clues-total + b
a = 0.264800571027364
b = -2.43451676120464

average almost 5 clues for 1 block, that is more than the average number of clues for the tridagon blocks (17 clues in 4 blocks)

[denis_berthier]

E(nb-clues-oppos) = 4.9558065232823
correlation-coefficient(nb-clues-total, nb-clues-oppos) = 0.288334621738382

average almost 5 clues for 1 block, that is more than the average number of clues for the tridagon blocks (17 clues in 4 blocks)

OK, I had erroneously taken 27.9 instead of 17 when I wrote "less than in a tridagon block".

As for the correlation result, it's again too small to be meaningful - still smaller than the previous.
The total number of clues is higher for these puzzles, but it is not correlated specifically to the number of clues in either the tridagon blocks or the lateral blocks or the opposite block.
So, negative results, but it was worth checking.
.

[hendrik_monard]

Have you checked how many grids are common with the T&E(3) solution grids? I guess the percentage remains very low.

paquita's lists and 'Mith-all-minimals-te3-Solutiongrids' had only one solution in common:

Code: Select all

123456789457189236689273154246891573531647892798532641315968427872314965964725318
.....6..9...1..23...9....54.46..15..5.1..7.9.79........1.96...7.7..14.....47.5...

The corresponding puzzle was from Champagne's list.
My list of 55 new solutions has none in common with mith's list.

[hendrik_monard]

I've compiled some interim results from Q4 2025. The result is a list of 39 new solutions:

Hidden Text: Show

Code: Select all

...45..89.5..892.....2.74.5..1....9..7.........6.........79..287..5.294.9...485.7   7
...45.7.9..71.......637....2.5.4..9..49.2.5.767..9.42...4...9.2...2..64..629.4.75   7
123...7.945.7.....78.......2..34.9.1....92.749..1.732.......29....9.4.17.9....4.3   7
....567.9.5.1.9.36.6.73.15.2.4.75...69....5.7.7...1...3..5.79.1......37......3.65   7
..345..89....8923...92.35.4...39..5..3..48.92.9.5.....3.89.4....64.......12......   7
.....6..9...1.9236..6....54.49.6157.5.1..7.6.76........1569...7..47.5....7..14..5   7
.23.5.7.945.....237.9.3.54.......47..34..7.92.7....3.534.6.8.......25.34.9..4....   7
.2.4.67....678....7...32...2.8.43...34.67...8.67..8......3.48.6..2....5........1.   8
1.3..678..57....3686...31.5......6.367.3...51....6.87.....25...5...47......83156.   8
..3.567.9..71.9.36...73.15...6....1.841.....7935.17...3...65.7....37..9....9.1...   8
12.4.6...4.718...6.68.72..4....64....162.8.4....71.6........5.2...62.478..2...3.1   8
.2..5678..5.18.2.6...7.2.15...6.8.71...21.6......758.23........57.86......9......   9
.2345...945.7.9..27.9.32..4......6.......7..5.7.....1334.27....5.7.94....925.....   9
.2345...945.7.9..27.9.32..4.7.....13.....7..5......6..34.97....5.7.24....925.....   9
1.345....45..89....893..5..........7398...4.1.......6..4581....83..94..59.15.3...   9
.23.5...945....23.6.9....542.6...9.539.5..42..45....63.....1......7.....93264....   9
.23.5...945....23.6.9....542.6...9.5.45....6393.5..42.39264.........1......7.....   9
.2.4..78.....8.2.6....27.452.4...6783.........1...........4582...57.2.64..286.5.7   10
12.4.6..94.6.89..2.8912...62...14....9.86....8.19.2.......41..8.......71.1....3..   10
1.3.567...5678.1..78.1.35........69.36....8......6...45.16.8....3...5....78.1....   10
.23....8.45..8..368.6.........9.5.......7.....35.24...36...28.55.2..8.43.48..362.   11
..3.567.9..71.9.36...37.51.2.59......4.5......31....57......69....6...73.6.79.1.5   11
12..5678..57.8....6.8......21.8.5..78.6.72..5.7561...........9.5.2....71....6.3.2   11
1...567.9...1.9.366..37.51..7..93.65...61..7....5.7...31.96.....8.....9.9.2....5.   11
1...567.9...1.9.366..37.51........57.....56.1..57.139.38...7.....2..3...9.6...1.3   11
12....78......92.6.......4.27..185...859.7...9.152.8...18..5...59.......7.2.91.58   11
1.3......45.1.9....98..3....89.143..3.15.89..54.93.8.......152.........79.5...4.8   11
..3.567.9..71.9.36...37.51.2........3.1...957.45.........6...736..79.1.5......69.   11
...45678.......2.........41.768.4...3.4.65.7.58.73..6....5.3....3.67.....65.483..   11
....5..89...18.23.......1.524..1....3.9...8.2..6......5...31.988..29.5.19..8.532.   11
....5..89...18.23.......5.124..1....3.9...8.2..6......5...31.988..29.1.59..8.532.   11
...45678.......2.........41.867.4...3.4.65.7.57.83..6....5.3....3.67.....65.483..   11
...45678.......2.........41.768.4...3.4.75.6.58.63..7....5.3....3.76.....65.483..   11
1.34.6.8....18........371.....87.36..7...34.8.3.6.4.7134.768...5.....6...62...8..   11
.2345.7..45.7.9...7.9.325.........6....9..3.1935...47.3.459....57.2......92......   11
1.3....8..5718...668............38.73.8..165.57...8.1373..15......9.7.6.....2..7.   11
12..567...571.92..6.927......5...678....679....6....43.61.95.......1.........2..1   13
..34.6.....718..36....37....416.38.....74....7.6.183.........28.7.....95...8.41.3   13
..34.6.....718..36....37....416.83.....74....7.6.138.........28.7.....95...8.41.3   13

There was no overlap with mith's T&E(3) solutions list.
The new total number of B7Bplus solutions is now 2567.