potential 5 digits end in solution grid 324629003

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potential 5 digits end in solution grid 324629003

Postby champagne » Wed Apr 01, 2026 1:32 pm

The source is in this thread
end-in-n-digit-pattern-t46956.htmlgo_0
with a path proposed by 'marek stefanik'

This thread is an attempt to see what can come out of a potential 5 digits end pattern.

The solution grid 324629003 has puzzles with a signature of a non TH pattern with a potential 4 digits end and a very high rating.

In the 2603 potential hardest database, we have 14 puzzles, all with the digits 1489 as potential end pattern. The highest highest rating is SKFR 11.8, a very high one.

Hidden Text: Show
Code: Select all
....5.7....6.....37..2.35..2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;GXWf9YHK1HbGW0;23;105;0;0;1489
..3.5.7....6.....37..2..5..2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;KXW99YHK1HbGW0;23;105;0;0;1489
.2..5.7....6.....37....35..2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;IXWX9YHK1HbGW0;23;105;0;0;1489
.23.5.7....6.....37.....5..2...3...63...72..5.4.9.....5...2.6.7..2....1......8...; 324629003;MXW19YnK1HbGW0;24;105;0;0;1489
.23.5.7...5......37......6.2...3...63...72..5.4.9.....5...2.6.7..2....1......8...; 324629003;MHW1AYnK1HbGW0;24;105;0;0;1489
.23.5.7...56.....37........2...3...63...7...5.4.9.....5..32.6.7..2....1......8...; 324629003;MnW18YHK1PbGW0;24;105;0;0;1489
....5.7...5......37..2.3.6.2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;GHWfAYHK1HbGW0;23;106;0;0;1489
....5.7...56.....37..2.3...2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;GnWf8YHK1HbGW0;23;106;0;0;1489
..3.5.7...5......37..2...6.2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;KHW9AYHK1HbGW0;23;106;0;0;1489
..3.5.7...56.....37..2.....2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;KnW98YHK1HbGW0;23;106;0;0;1489
..3.5.7...56....237..2.....2...3...63...72..5.4.9.....5.....6.7..2....1......8...; 324629003;Knm98YnK11bGW0;24;106;0;0;1489
.2..5.7...5......37....3.6.2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;IHWXAYHK1HbGW0;23;106;0;0;1489
.23.5.7...56.....37........2...3...63...72..5.4.9.....5...2.6.7..2....1......8...; 324629003;MnW18YnK1HbGW0;24;111;0;0;1489
.2..5.7...56.....37....3...2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;InWX8YHK1HbGW0;23;118;0;0;1489



“marek stefanik” solved the 11.8 puzzle, so we know that here the hardest step is linked to an Exocet pattern. But the pattern had a five digits end potential, so I tried to see if this could be a source of high ratings.

Side question, but as for the 4 digits pattern, I tried to see how many solution grids could share this 5 digits patterns.

If we just look at the band 1, we still have 3 possible match, bands index 11,12,353.
But only one solution grid has a match with this 5 digits pattern;

My proof:

The solution grid must have one ED entry in the min lexical catalog. If we add the min lexical catalog properties, we come to this puzzle

Code: Select all

123 456 789
45. .89 1.3
.98 .13 ..4

21. 834 9..
3.9 1.. 84.
84. 9.. .31

584 3.1 .9.
.3. .9. 418
9.1 .48 3..


And it has a unique solution

So again, it seems that with such patterns, the number of solution grids sharing the pattern is very small, unique for this one. The vicinity should deliver some close variants of the pattern.
champagne
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Unavoidable sets of the field.

Postby champagne » Wed Apr 01, 2026 1:40 pm

In the solution grid 2889161802, we had only the 6 expected UAs of the 4 digits pattern 1579.
Here, in line with ‘blue’ remark in another thread, on top of the 10 UAs for the pair digits 13589, we have plenty of UAs with these 5 digits.
I got 168 such UAs from the DLL building the start set of UAs.

Here below the first 77 with the 10 UAs of the pairs of digits
The smallest one is for the digits 139 in stack 1.

the solution grid
Code: Select all
123456789456789123798213564215834976369172845847965231584321697632597418971648352

UAs with less than 18 clues
Hidden Text: Show
Code: Select all
1.1.................................1.1.................................1.1...... 0 139
......................11.......11.......................1..1..............1.1.... 1 1349
....................................1.....11.1......11...............111......... 2 348 
...............................1.1..............1...1....1...1.....1.1......1.1.. 3 349
............................1.1.......11.....1..1......1...1............1.1..1... 4
1..1....11....11............1...11............1.1....1........................... 5
...................11.......1.1..1....11..1............1...1..............1..1... 6
1......1.1.....1....1.....1..................11........11............111......... 7
...1...1.....1...1.....1..1...111.........11.........................1.1......... 8
...1....1.....11.1.....1..1.1...11............1.1....1........................... 9
1..1....11....11..............1.11.....1..1.....1....1........................... 10
1..1...1.1...1.1..............1.1.........11.........................11.....11... 11
1..1....11....11................11.....1...1....1....1...............11.......... 12
.........1...1...1..1..1..1....11............11........11...................11... 13
..11.....1....1....1...1.......11.......................11......1..1....1...1.... 14
..1.....1.....1..1.1...1............1.1.........................1..1.1..1...1.1.. 15
..1....1.....1...1..1..1.......11...................11................11....11... 16
1.1.....1.....1..1.1...1........................................1..1.1..1.1.1.1.. 17
..1....11....11..1..1.11...................................1.1.....1..11......... 18
...................11.........1..1..1.1...11.11.1...1..11........................ 19
..1.....11.......1.1......1...1..1..1.1...1..11.1................................ 20
1......1.....1.1...11.1.....1....1....1...1..1.......1................11......... 21
1..1...1.1...1.1.1.....1..1...111....................................111......... 22
..11.....1.......1....11..1.........1.1.................11.1............1.1.1.... 23
...1....1.....11.1.....1..1.....11.....1...1....1....1...............11.......... 24
...1....1....111......1...1.1...11............1.1....1......................11... 25
.......11....11...........................11............1..1.1.....1.1.1..1.11... 26
...................11...............1.1....1..1.....1..11.......1..1.1..1...1.1.. 27
1..1.....1.....1......11..1.1..11......1...1..1......1...............11.......... 28
...1...1.....1.1......1...1.1.1.1......1..11..1......1......................11... 29
...1....1.....11......1...1.1...11............1.1....1..1..1..............1.1.... 30
1......1.....1.1....1.1...............11..1..1..1....1................111.1...... 31
..11.....1...1......1..1.....................11........111......1....1......111.. 32
.........1....1..1.1...1..1.........1......1..1.....1...........1..1.1..1...1.1.. 33
..............................111...1.....1..1......11.1.1......1.....11....111.. 34
.........1...1.1....1.1...1.........1......1.11.....11.11............11.......... 35
.........1...1...1..1..1..1...11.............11........111.1..............1..1... 36
..11...1............1..1..1.1...1......1...1..1......1...1.1..........11......... 37
..11...1............1.11..1...............11............11.1.........1.1..1.1.... 38
1..1...1.1...1.1.1.....1..1...111.........11.........................11.......... 39
...1...1.....1.1......11..1.1.111......1..11..1......1........................... 40
...1...1.....1.1.1.....1..1.1.111......1..11..1......1........................... 41
...1...1.....1...1.....1..1.1.111......1...1..1......1................11......... 42
1.11....1..........1...1..1....11.......................11......1..1....1.1.1.... 43
1..1.....1....1....1..11....1..11.....11......1.1.......................1.1...... 44
1..1....1..........1..11..1.1..11.....11......1.1.......................1.1...... 45
1.11....1..........1..11..1.1..11...1.11......1.1................................ 46
..1.....11.....1.1.1......1.........1.11...1..1.1....1...............11.......... 47
1.1.....11.....1...1......1.........1.11...1..1.1....1...............11.......... 48
...1....1....111......1...1...1.11.....1..1.....1....1......................11... 49
.........1...1.1...11.1...1...........11..1..11.1....1...............1.1......... 50
.........1...1.1...11.1...1.1....1....1...1..11......1...............1.1......... 51
.........1...1.1....1.1...1.1.1........1..1..11......1.11............1.1......... 52
..11...1............1..1..1...1.1.........11...........1.1......1....1.1.....11.. 53
..1....1.....1.1.1..1..1.......11.........11........11...............11.....11... 54
..11.....1.......1....11..1.........1.1.................11.1.1.....1..1.1...1.... 55
1.1.....1.....1..1.11.11...............................1...1.1.....1..1.1.1..1... 56
...1....1....111......1...1.....11.....1...1....1....1...............11.....11... 57
...1....1.....11......1...1...1.11.....1..1.....1....1..1..1..............1.1.... 58
1......1.1.....1...11.....1...1..1....1...1..11.1....................111......... 59
.......11....11.....................1.1....1.11.....1..11....1.....1...11....1... 60
.......11...........................1.1....1..1.....1..11....1..1..1.1.11...1.1.. 61


10 UAs for the pairs of digits
Code: Select all
1.1............1.1....11....1..1....1..1............11...1.1....1.....1...1...1.. 62 
1..1.....1.....1......1...1.1...1......1...1..1......1..1..1.........11...1.1.... 63
1......1.....1.1....1.1.....1.1........1..1..1.......1.1...1..........11..1..1... 64
1.......1.....11...1..1.....1....1....11........1....1.....1.1.....1..1.1.1...... 65
..11.....1.......1.....1..1....11...1......1..1.....1...11......1....1......1.1.. 66
..1....1.....1...1..1..1......11....1.....1..1......1..1.1......1......1.....11.. 67
..1.....1.....1..1.1...1.......1.1..1.1.........1...1....1...1..1..1....1.....1.. 68
...1...1.1...1......1.....1...1.1.........11.11........11............1.1....11... 69
...1....11....1....1......1.....11....1....1..1.1.......1....1.....1.1..1...1.... 70
.......11....11....11.........1..1....1...1..1..1......1.....1.....1...11....1... 71

...............1.1....11....1..1....1.11............11...1.1....1.....1.1.1...1.. 72
1.1.....1.....11...1..1.....1....1..1.11........1....1.....1.1.....1..1.......... 73
1.1.....1.....1..1.1...1.......1.1..............1...1....1...1..1..1....1.1...1.. 74
...1....1.....11......1...1.....11.....1...1....1....1..1..1.........11...1.1.... 75
1..1.....1....1....1..1.....1...1.....11......1.1..........1.1.....1..1.1.1...... 76
1.......11.....1...1......1.1....1....1....1..1......1..1....1.....1.1..1...1.... 77


with such a list of UAs, we have no 4 clues and no 5 clues giving a 4x9 + 4/5 clues valid puzzle, so, no end of game with such a pattern.
I tried to see how came the rating 11.8, this will be the topic in the next posts.
champagne
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Re: potential 5 digits end in solution grid 324629003

Postby champagne » Fri Apr 03, 2026 3:56 pm

As the 5 digits pattern is not very attractive, we can have a look to the skfr 11.8 puzzle
Code: Select all
2..5.7...56.....37....3...2...3...63...7...5.4.9.....5...2.6.7..2....1......8...; 324629003;InWX8YHK1HbGW0;23;118;0;0;1489

This puzzle comes with a signal of a potential n end for the digits 1489.
We have here four clues for these digits, not 3 clues.

The last digit of the 5 digits pattern 13489 has 3 clues, far from the n digits end.
On top of it, if we look at the 36+n pattern we can see that one clue is redundant
Code: Select all
.2..567...567...237..2.356.2.5.3..7636..72..5.479652..5...2.6.76.25.7.1..7.6.8.52 ED=7.8/1.2/1.2
.2..567...567...2.7..2.356.2.5.3..7636..72..5.479652..5...2.6.76.25.7.1..7.6.8.52 ED=7.8/1.2/1.2

This means that starting from all minimal in the pattern 13489, we would miss the 11.8 expanding other UAs with no more clue in 13489.

If we forget the 5 digits pattern, we can start from the 4 digits pattern 1489, what we will do. As we will see, this pattern has nearly no valid 3 clues, but, as here, some better starts with 4 clues, one for each digit.
champagne
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Posts: 7906
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4 digtis 1489 pattern

Postby champagne » Fri Apr 03, 2026 7:18 pm

here a preliminary vision of the 4 digits end potential in the solution grid 324629003
123456789456789123798213564215834976369172845847965231584321697632597418971648352

My first set of UAs from the DLL has2079 uas
The solution grid has a '5 digits' pattern 13489 and 7 '4 digits'

1348 1349 1358 1389 1489 2489 3489

The known 11.8 has 4 clues in the 4 digits pattern 1489, so, this is the first studied.
In my 'field' table out of the DLL harvest, I have 53 UAs to compare to the 6 UAs of the solution grid 2889161802
Code: Select all
............................1.1.......11.....1..1......1...1............1.1..1... 0
1..1....11....11............1...11............1.1....1........................... 1
...................11.......1.1..1....11..1............1...1..............1..1... 2
1......1.1.....1....1.....1..................11........11............111......... 3
1..1....11....11..............1.11.....1..1.....1....1........................... 4
1..1...1.1...1.1..............1.1.........11.........................11.....11... 5
1..1....11....11................11.....1...1....1....1...............11.......... 6
1......1.....1.1...11.1.....1....1....1...1..1.......1................11......... 7
...1....1....111......1...1.1...11............1.1....1......................11... 8
.......11....11...........................11............1..1.1.....1.1.1..1.11... 9
...1...1.....1.1......1...1.1.1.1......1..11..1......1......................11... 10
...1....1.....11......1...1.1...11............1.1....1..1..1..............1.1.... 11
1......1.....1.1....1.1...............11..1..1..1....1................111.1...... 12
...1....1....111......1...1...1.11.....1..1.....1....1......................11... 13
.........1...1.1...11.1...1...........11..1..11.1....1...............1.1......... 14
.........1...1.1...11.1...1.1....1....1...1..11......1...............1.1......... 15
.........1...1.1....1.1...1.1.1........1..1..11......1.11............1.1......... 16
...1....1....111......1...1.....11.....1...1....1....1...............11.....11... 17
...1....1.....11......1...1...1.11.....1..1.....1....1..1..1..............1.1.... 18
1......1.1.....1...11.....1...1..1....1...1..11.1....................111......... 19
1..1.....1.....1......1...1.1...1......1...1..1......1..1..1.........11...1.1.... 20
1......1.....1.1....1.1.....1.1........1..1..1.......1.1...1..........11..1..1... 21
1.......1.....11...1..1.....1....1....11........1....1.....1.1.....1..1.1.1...... 22
...1...1.1...1......1.....1...1.1.........11.11........11............1.1....11... 23
...1....11....1....1......1.....11....1....1..1.1.......1....1.....1.1..1...1.... 24
.......11....11....11.........1..1....1...1..1..1......1.....1.....1...11....1... 25
...1....1.....11......1...1.....11.....1...1....1....1..1..1.........11...1.1.... 26
1..1.....1....1....1..1.....1...1.....11......1.1..........1.1.....1..1.1.1...... 27
1.......11.....1...1......1.1....1....1....1..1......1..1....1.....1.1..1...1.... 28
1..1.....1....1....1..1.....1...11....11...1...............1.1.....1.11.1.1...... 29
1.......11.....1...1......1...........11...1..1.1....1..1....1.....1.11.1...1.... 30
1.......1.....11...1..1.....1.1..1...........1..1....1.1...1.1.....1..1.1....1... 31
...1....11...111....1.1...1.1.1.11...........11.1....1.11........................ 32
...1...11....111......1...1.....11.....1..11....1....1...............1.1....11... 33
1..1.....1....1....1..1.....1.1.11....11..1................1.1.....1..1.1.1...... 34
...................11.........1..1....1...11.1..1......11..1.1.....1.1..1.1.11... 35
1......111...111...1......1..................11........1.....1.....1.1111....1... 36
1..1...1............1.1...1.1...1......1...1.11......1.1...1..........11..1.11... 37
1..1...1............1.1...1.1...1......1...1.11......1.11..1..........11..1.1.... 38
.........1....11...1..1...1.1....1....1....1..1......1..1..1.1.....1.1..1.1.1.... 39
1..1....1..........1..1...1.1...1.....11......1.1.......1..1.1.....1..1.1.1.1.... 40
1..1....11...111....1.1.....1.1.11...........1..1....1.1...1..............1..1... 41
...1...111...11.....1.....1...1.1............11........11..1.1.....1...1..1..1... 42
...1....11...111....1.1...1...1.11.....1..1..11.1....1.11........................ 43
.........1...111...1..1...1.1....1....1....1..1......1..1....1.....1.1..1...11... 44
...1...11.....11......1...1.....11.....1..11....1....1..1..1.........1.1..1.1.... 45
.........1....11...1..1...1...........11...1..1.1....1..1..1.1.....1.11.1.1.1.... 46
1..1....1..........1..1...1.1...11....11...1............1..1.1.....1.11.1.1.1.... 47
1......11....111...1..1.....1.1..1...........1..1....1.1.....1.....1..111....1... 48
1.......1.....11...11.1.......1..1.....1..1.....1....1.1...1.1.....1..1.1.1..1... 49
1..1.....1...1......1.1.....1.1.1......1..11.1.......1.1...1.........111..1.11... 50
1..1.....1...1......1.1.....1.1.1......1..11.1.......1.11..1.........111..1.1.... 51
1......11....111...11.1.......1..1.....1..1.....1....1.1.....1.....1..111.1..1... 52


This set of UAs has only 3 puzzles valid with 3 clues all of them have a very low rating
Code: Select all
.23.5678..567...237..2.356.215.3..7636..72..5..796523.5..32.6.76325.7....7.6..352 ED=1.5/1.2/1.2
123.567...567...237..2.35642.5.3..7636..72..5..7.6523.5..32.6.76325.7....7.6.8352 ED=1.5/1.2/1.2
.234567...567..1237..2.356.2.5.3..7636..72..5..7.6523.5..32.6.76325.7....7.6.8352 ED=1.5/1.2/1.2

We have much better potential if we look for 4 clues, one of each digit

here are the best
Code: Select all
.23.5678..567...237..2.356.2.5.3..7636..72..5.4796523.5..32.6.76325.7....716..352 ED=7.8/7.8/2.6
.23.567...567...237..2.356.2.5.3..7636..72..5..796523.5..32.6.76325.7..8.7164.352 ED=7.8/7.8/2.6
.23.567...567...237..2.356.2.5.3..7636..72..5.4796523.5..32.6.76325.7.1..7.6.8352 ED=7.8/7.8/2.6 giving the 11.8
.23.567.9.567...237..2.356.2.5.3..7636..72..5..7.6523.5..32.6.76325.7..8.7164.352 ED=7.6/7.6/2.6
.23.567...56789.237..2.356.2.5.3..7636..72..5.47.6523.5..32.6.76325.7....716..352 ED=7.7/7.7/2.6
.23.5678..567...237..2.356.2.5.3.97636..72..5.47.6523.5..32.6.76325.7....716..352 ED=7.9/7.9/2.6
.23.567...567.9.237..2.356.2.5.3..7636..72..5.47.6523.5..32.6.76325.7.1..7.6.8352 ED=8.8/8.8/2.6
.23.567...567...237..2.356.2.5.3.97636..72..5.47.6523.5..32.6.76325.7.1..7.6.8352 ED=7.6/7.5/2.6

As in the previous solution grid, we need extra properties to reach the highest ratings.
I have still some work to run the full vicinity search around the 11.8. Later, I'll search all these 4 clues
champagne
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Posts: 7906
Joined: 02 August 2007
Location: France Brittany


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