How regular is to generate sudoku with difficulty 9+ SE?

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

Postby RW » Mon Apr 02, 2007 6:03 pm

gsf, if you only had posted that 30 minutes earlier, I had just worked out my own way to do that and started generating by the time you posted...

Am currently looking at this:
Code: Select all
 *-----------*
 |7..|..9|..2|
 |.6.|...|.3.|
 |..5|...|1..|
 |---+---+---|
 |...|...|..9|
 |4..|...|...|
 |...|...|...|
 |---+---+---|
 |..1|...|5..|
 |.3.|...|.6.|
 |2..|.4.|..7|
 *-----------*
307360 solutions

Lots of 10+ puzzles there, but nothing revolutionary yet. Highest so far 10.6 (gsfr 99847). "sudoku -m" is still running on my old laptop, expect it to be finished in an hour or so, let you know the final results then.

ravel wrote:All have a gsfr > 99212.

This seemed odd to me, many of them have ER as low as 8.4. With my current pattern it also seems the lowest ER is 8.4. The difficulty rating listed while generating says gsfr<22000 for these puzzles, but with the rating commands they get 99213-99220. Any explanation to this gsf?

RW
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Postby gsf » Mon Apr 02, 2007 6:36 pm

RW wrote:gsf, if you only had posted that 30 minutes earlier, I had just worked out my own way to do that and started generating by the time you posted...

its a neat methodology to work with
RW wrote:
ravel wrote:All have a gsfr > 99212.

This seemed odd to me, many of them have ER as low as 8.4. With my current pattern it also seems the lowest ER is 8.4. The difficulty rating listed while generating says gsfr<22000 for these puzzles, but with the rating commands they get 99213-99220. Any explanation to this gsf?

the solver ratings depend on the constraints in scope (-q option value)
did you have a different -q between the filtering and rating?

that's why I started looking into the -q1 and -q2 ratings
they're fast and (almost) immune to isomorphic permutations
try using -q2 for the initial filter -- hard puzzles should q2 rate >= 110 (think 11.0)

I'm running through the 15 templates in coloin's last post using
Code: Select all
-gt -m -q2 -e 'uniq()&&R>=110'

uniq() does the canonicalization check (could exhaust memory with >>1M puzzles)
looks like ~30min - 2h per template -- will post when done

I'll fine tune the q1 q2 ratings normalization to match consensus from this and the hardest threads
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Postby coloin » Mon Apr 02, 2007 11:42 pm

Well done RW,

I felt slightly fraudulent removing clues rather than adding !

Nevertheless the ratings were extraordinary.........compared to my previous 9.8 !

The subgrids with 3000000-500000 appear to be the most productive. although m_b_metcalf's puzzle stems from "295376" .

The subgrids can be classed, possibly one more ?
Code: Select all
5.......9.2.1...7...8...3...4.......................1.3.....8...6...4.2...9.....5
5.......9.2.1...7...8...3...4.......................1...3...8...6...4.2.9.......5
5.....9...2.1...7...8.....3.4.......................1.3.....8...6...4.2...9.....5
5.......9.2.1...7...8...3...4.......................1...9...8...6...4.2.3.......5
5.....9...2.1...7...8.....3.4.......................1.9.....8...6...4.2...3.....5

414054 sol.  [St.Patrick] [The day I found it !]
295376 sol.  [m_b_ms]
546052 sol.
529148 sol.
295208 sol.

Code: Select all
1.......6.2.5...4...3...7...4.......................8.7.....3...5...9.2...6.....1 coffee
1.......6.2.5...4...3...7...4.......................8...6...3...5...9.2.7.......1
1.....7...2.5...4...3.....6.4.......................8...6...3...5...9.2.7.......1
1.....7...2.5...4...3.....6.4.......................8.7.....3...5...9.2...6.....1

1.......6.2.5...4...3...7...4.8.2.......6........45.8.7.....3...5...9.2...6.....1 coffee1 or 417718#1

417718 sol.
567390 sol.
560058 sol.
408044 sol.

Refering to the 414054/st.patrick sub-grid puzzles in the "hardest" thread appears very productive.

417718#1 has SE 11.1 and refered to earlier in this thread

In 546052 the best 5clue SE was only 9.2

Is this a better way to document things....

C
Last edited by coloin on Tue Apr 03, 2007 2:59 am, edited 1 time in total.
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Postby RW » Tue Apr 03, 2007 4:47 am

gsf wrote:the solver ratings depend on the constraints in scope (-q option value)
did you have a different -q between the filtering and rating?

Didn't use a filter, generated all with "sudoku -m myfile.txt > newfile.txt". in "newfile" the puzzles had difficulties 21000-99470. Then I rated with "-q hardest", got difficulties in the range 99212-99865. What's the rating option to always look for the easiest solution first and find the lowest possible score? Does this slow it down a lot?

I found 12071 nonisomorphic puzzles in my pattern. No extremes, all had ER<10.7, gsfr<99900 and suexrat9<1000. I ran all with gsfr>99700 through SE last night, 39 puzzles, one had ER 9.9, the remaining 38 had 10.1-10.6 (gsfr ER puzzle):
99865 10.4 ..3.5.7..4....9....8.1......1.8.......5.3..2.9....4.........97.....7.2.3..2....65
99854 10.6 .2.4....9..6.8....7....3.....8.6....3....7....4.2...5.......64....5...97.9......1
99852 10.5 ..34......5...9...6...7...12.....16........97....1.4.2.9...5...7...6..2...43.....
99837 10.6 ..3.5....4....92...6.7.....2.....91.......6.8.....154..7.6.......5.3....9....4..1
99834 10.5 .2.4....9..6.8....7....3.....8.6....3....7....4.2...5..9..........5...91......645
99834 10.5 ......789...1...36..9....1.2...3.....7...4.....85..1..3...2......58...9..4...7...
99833 10.6 ..3.5....4....92...6.7.....2.....9.7......6.8.....154..7.6.......5.3....9....4..1
99832 10.4 .23.5....4.7.....6.9............1.7....8..9....6.4...3...9..8..5...3...4.....7.1.
99824 10.6 1...5......67...2..8...3.........397...2....5..4...2..5...1.....3...8.....76..4..
99823 10.6 ..34......5...9...7...2..6.2...7...8..43......9...5.......6.2.18......37........6
99819 10.4 12..5......6......789.....4.....38....5.7...6...1...9....9...1..4..6...7.....83..
99809 10.5 ....5...94.....12........642...3...5..7..1....8.6.....3...2..4..6.8.......1..7...
99788 10.6 .2.4....9..6.8....7....3.....8.6....3....7....4.2...1....9..87.......4.5.1.....2.
99778 10.2 .2.4.......6.8....7....35....8.6....3....7.1..4.2.....5......21......897.....1.5.
99770 10.5 1...5......67....2.8...3..........54..4...9.1...2..37.5...1.....3...8.....76..4..
99769 10.4 ...456.....7..9......2...4..9....3....1..4.2.8.......55.......8.3....9....2.7..1.
99764 10.3 ..3..6....5.1.....9...2...42...9..7..1.5.......6..3.........6......4.91.7......28
99763 10.5 1...5......67...2..8...3.........3.7...2..64...4.....85...1.....3...8.....76....4
99763 10.3 .2.4...8...7..9...6...3..........4.7.8....61....5...2.3...6......9..7....4.2..5..
99761 10.4 1...5......67...2..8...3.....4....9....2..645......2..5...1.....3...8.....76..4..
99760 9.9 ..34......5...9...6...7...12......6.......897....1.4...9...5...7...6..2...43.....
99759 10.4 .2.4...8...7..9...6...3......9..7...3...6.....4.2....1.1......7......6.4...8..12.
99759 10.5 ..3..6...4...8.2...9.7......7.9.....8...4...5..6..3.........9..5.....4.8....2.3.1
99758 10.3 ...4...8......92..6...3...1.7..1...3.....29.....8...4.31..6....5.8.....7.46......
99758 10.4 123..6...4......3.9............7...13....2.5....8..9......1...7...9..8....6..5.2.
99757 10.5 1...5......67...2..8...3..........97...2..6.5..4...2..5...1.....3...8.....76..4..
99754 10.4 ..34......5...9...6...7.1..2.....9.........64....1.87..9...5...7...6..2...43.....
99754 10.1 ..3..6....5.1.....9...2...42...9..7..1.5.......6..3.......4.86.......14.7.....9.2
99749 10.3 1...5......67...2..8...3.....76..9..5...1.....3...8......9...14......692..2...3.7
99749 10.5 1...5......67......8...3.4...76.....5...1.....3...82...4.....21.....2..3......6.8
99749 10.4 .2...6...4...8......91....5.......73..5...8.4...3..1.2..19..3..8...4.....6...2...
99749 10.5 ..3..6....5.1.....9...2...42...9..7..1.5.......6..3.........62.....4..577.....9..
99748 10.6 ..34......5...9...6...7...12.....16........97....1.3.2.9...5...7...6..2...43.....
99740 10.4 ......78....1..2.6..9...51.2...3.....7...4.....85..1..3...2......58...9..4...7...
99738 10.3 1...5......67...2..8...3.........6.8..4....17...2...4.5...1.....3...8.....76..4..
99734 10.1 .2.4...8...7..9...6...3..........4.7.8....6.1...5...283...6......9..7....4.2..5..
99731 10.1 ...4..7...5...9.3.....2...1..8..3.9....7..4......1...231...8...79.......8.6....5.
99729 10.4 1...5...9..67......8...3.....76.....5...1..4..3...8.......4.8.2......9359......1.
99718 10.3 .2...67..4...8......91............78.7....61......52.3..19.....8...4.....6...2.5.

I can now confirm what ravel said, it is indeed easy to generate 10+ puzzles, but it still seems to be a bit challenging to reach 11.

RW
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Postby gsf » Tue Apr 03, 2007 5:20 am

RW wrote:
gsf wrote:the solver ratings depend on the constraints in scope (-q option value)
did you have a different -q between the filtering and rating?

Didn't use a filter, generated all with "sudoku -m myfile.txt > newfile.txt". in "newfile" the puzzles had difficulties 21000-99470. Then I rated with "-q hardest", got difficulties in the range 99212-99865. What's the rating option to always look for the easiest solution first and find the lowest possible score? Does this slow it down a lot?

the solver attempts the leftmost constraints in the constraint order first
the default constraint order is subjectively easiest to hardest but -q can change it
-qhardest already attempts the easiest propositions to the hardest

the -q1 and -q2 constraints/ratings attempt to speed up the rating
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Postby RW » Tue Apr 03, 2007 7:38 am

Ok. The problem I see is that all puzzles that require propositions are rated so high (>99200). Take for example this ER 7.3 puzzle:
Code: Select all
3.......8.5...2.7...9...4.....3.4.1.....9.....7.8.6.2...2...1...9.6.8.5.4.......7

I don't think it deserves a score of 99216, at least not compared to this:
Code: Select all
4..2.3..8.6.....9...1.5.2..9.......6..7...4..1.......2..2.7.5.........8.3..9....4
ER 7.1, gsfr 537

I tried a few easier puzzles that didin't require propositions (ER7.1-7.2) they rated 500-20000. My question is: can "-q hardest" produce any scores between 30000-99000? Has anybody seen scores like these?

I understand that the hardest option is meant to rate the hardest puzzles, but I'd like to see an option to rate all puzzles, on a scale that doesn't jam all the hard puzzles in the top end and leave a gap of 70000 points.

I'll look at the -q1 and -q2 ratings, just need to get used to the new scores they produce.

RW
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Postby ravel » Tue Apr 03, 2007 8:54 am

RW wrote:My question is: can "-q hardest" produce any scores between 30000-99000? Has anybody seen scores like these?
Yes, but relatively few, here are some:
Code: Select all
84375 1....6..9.5.7.........3..4..7..4...5.......1.9.....6...4.1....8..8..2.7.6...9.2..
71535 ...4....9.5..8....7....36....4.....5.1.9..3..8......7.3..5......6..7.2....2..8..1
61944 1....67...5.........92...4.....1..9...6..8..2...3..8..3.....4....2.9..6..7.5....1
57806 1....67......8..3.........5.3.5..6....4..2...7...9...8...9.....8...7..4...6..31.2
47711 ..3...7..........2.8..1..4..4.5...9...7.3....9....2..8.1.8.......2..4.5...5.6...3
38424 .2.4....9..6...1..7....3.5.2.........4..9...7..58.16...9..6......1..7..3...5.....
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Postby gsf » Tue Apr 03, 2007 12:18 pm

RW wrote:I understand that the hardest option is meant to rate the hardest puzzles, but I'd like to see an option to rate all puzzles, on a scale that doesn't jam all the hard puzzles in the top end and leave a gap of 70000 points.

aha
I understand the question now
one rating for all is the ultimate goal
-qhardest will rate < 90000 if it doesn't have to guess
but that's skewed a bit by the absense of { ALS fins uniqueness }

a run today will see if proposition stat averages helps to classify the hardest
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Postby RW » Tue Apr 03, 2007 2:31 pm

ravel wrote:
RW wrote:My question is: can "-q hardest" produce any scores between 30000-99000? Has anybody seen scores like these?
Yes, but relatively few, here are some:

Thanks for those. They all require a lot of different techniques according to gsfs solver, seems the O constraint (templates) rates the highest. In SE they are rated lower than short forcing chains, which gsfs program often find using the Y constraint. That might cause big differences in the ratings.
gsf wrote:one rating for all is the ultimate goal

That's right. I'd prefer one that spreads out the harder puzzles quite a bit, squeezing all puzzles that need propositions into the top 1% of the scale is not right. The scale doesn't really reflect the big differences in difficulty that appear near the top end. As I said there's a big range between 30000-99000 that rarely is found (only 30/1000 randomly generated puzzles belonged to this category). A large chunk of this range should belong to puzzle that can be solved with relatively few and short propositions.

But hey, now I feel bad for all the time pointing out (the very few and minor) flaws I can find in your program. It's a superb program and we all thank you for providing us with such a great tool. Don't forget that!:D

coloin wrote:The nuber of grid solutions with a varient 16 clue pattern [100000 - 600000] is critical -
- too many and you get fewer box 5s and less clues to remove

I can now confirm that too. Picked this 16 clue patterns:
Code: Select all
1.......6.2.9...5...3...4...9..............8............5...3..4...8..2..6......7
8688804 solutions

Only 6 ways to complete box 5 and get a unique puzzle, from these I got only 42 unique puzzles. All had gsfr 99212-99240 and ER 9.0-9.3 (it still suprises me how this technique fails to produce a single easy puzzle).

RW
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Postby gsf » Tue Apr 03, 2007 3:04 pm

RW wrote:
gsf wrote:one rating for all is the ultimate goal

That's right. I'd prefer one that spreads out the harder puzzles quite a bit, squeezing all puzzles that need propositions into the top 1% of the scale is not right. The scale doesn't really reflect the big differences in difficulty that appear near the top end. As I said there's a big range between 30000-99000 that rarely is found (only 30/1000 randomly generated puzzles belonged to this category). A large chunk of this range should belong to puzzle that can be solved with relatively few and short propositions.

I hedged my bets early on by making the 90000-99999 range exponential
when the dust settles the hardest should be >= 90000 with a bigger spread like you suggest
for now I haven't done micro-recalibrartions because the rating is quoted in the forums
RW wrote:But hey, now I feel bad for all the time pointing out (the very few and minor) flaws I can find in your program. It's a superb program and we all thank you for providing us with such a great tool. Don't forget that!:D

thanks
if you look at the --man docs for -R and -qhardest -q1 -q2
you'll see that they're just shorthand for long/complex option combinations
in particular -q for constraint order and -R expressions for the ratings
the upper case vars in -R correspond to stats collected by the constraint methods applied
the %Q format lists the rating (via the -R expression), the constraint methods used,
and the cumulative stats for the constraint methods used to solve

for example
Code: Select all
sudoku -q1 -f%Q 5.....3...2.1...7...8.....9.4...7......821......6...1.3.....8...6...4.2...9.....5

prints
Code: Select all
  101 FNP         C21.m/S2.p/F8653.17653/N12256.31819/P2.20.13246.9.12.33341.352.265.2/M2.8.25420

where:

C21.m: 21 clues minimal
S2.p: symmetry order 2 "pi" (90 rotation)
P2.20.13246...: P(P0).(P1).(P2)...: look for Pi in the -R rating
M2.8: singles backdoor size 2, 8 backdoors

the <method-id><index> are defined in the --man doc

the ultimate rating (at least for what my solver is capable of producing) is hiding in the stats
(a few more stats may be needed, but the basic -q -R model will remain)
so anyone can play with -q and -R to get it to match the current reality
if you do, set -BX to batch constraint moves and ignore backdoors
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Postby JPF » Tue Apr 03, 2007 10:23 pm

I have some difficulty geting the SE rating for these 2 puzzles (gsfr=99992) :

Code: Select all
1.......2.3.4...5...6...7...8.5.3.......1.........9.4...7...6...9...8.3.2.......1
1.......2.3.4...5...6...7...5.8.9.......1.........3.4...7...6...9...5.3.2.......1


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Postby RW » Wed Apr 04, 2007 4:35 am

JPF wrote:I have some difficulty geting the SE rating for these 2 puzzles (gsfr=99992) :

The first puzzle is the same as Mike's 11.4. That's easy to see with the plain eye. I didn't canonicalize, maybe someone should to check the second also.

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Postby JPF » Wed Apr 04, 2007 6:39 am

JPF wrote:I have some difficulty geting the SE rating for these 2 puzzles (gsfr=99992) :

Code: Select all
1.......2.3.4...5...6...7...8.5.3.......1.........9.4...7...6...9...8.3.2.......1
1.......2.3.4...5...6...7...5.8.9.......1.........3.4...7...6...9...5.3.2.......1

JPF

RW wrote:The first puzzle is the same as Mike's 11.4. That's easy to see with the plain eye. I didn't canonicalize, maybe someone should to check the second also.

Thanks RW for your accurate look !
I am probably becoming myopic:(
Here are the gsf's canonic forms of the puzzles mentionned before :
Code: Select all
000006000007180000000020005008500001300000900060000040002070008040000060900000300  m_b_metcalf
000056000007180000000200005008500001300000900060000040002070008040000060900000300  mbmplus5b
000400009000000206008000150005900040700060000010003000300001000060070000002500800  St.Patrick-15
000400700000080006009003050200001030000700004000060800301000090508002000040000000  St.Patrick-12
000400700050009030000020006097000000300000050610008000000600004800001090000070200  St.Patrick-11
003006700400080000090200000200900000080040000001003050000000400000007510005000360  St.Patrick-5
003050700000009020000100004010000000607030000035000800000200090000004001800070600  St.Patrick-4
003050700400009000080100000000060050007000630000000204010004000005020060900800000  St.Patrick-1
003056000000180200000700000005030800700000090060000004040000060008002100900000007  St.Patrick-10
003400000000089000000120500010000060008030200900000007002500400600000090070000001  St.Patrick-8
003400000050009000600070010200000900000010070000000308040300000009005000800060002  mbrev7
003400009000080100000002060230000000094300000008000007000060020070900005000001800  St.Patrick-14
020006700400000030009000005005000090300000004070010800060840000000900000000027100  St.Patrick-7
020050700000009003000100060000003090000600001008070400047000800805020000900000000  St.Patrick-2
020400080006000003700000500005000600300000007080001090000804010040092000000030000  St.Patrick-13
100000009006000020080030500000805300000100000070043000040007800002000006900000010  St.Patrick-3
100006080050000200009000004000803000000007060700041000300700010002000900040000005  St.Patrick-9
100006700050000030008000004200900100004000008030000050000097600000030000900610000  mbmplus5a
100050000000089200000700000070000003006000040500002900004000060800010500030000007  StrmCkr
100050000000709000000032060040000007500060090008000200300001050070000400002000008  St.Patrick-6
100400000050009030006020000200010000004600000070005008080000057000003091000000600  St.Patrick-16

Here are my 2 puzzles :
Code: Select all
000006000007180000000020005008500001300000900060000040002070008040000060900000300
020006000400080030009100000001900000060002000500040008000000200800000075000030004

You are right, the first one is isomorphic to Mike's.
But the other one is not in the list.
[Edit - I finally got the answer with an other computer SE =10.7]

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Postby JPF » Wed Apr 04, 2007 1:14 pm

Here is a tentative list of the 10.5+ puzzles :
[Edit 6]

11.4 # 500000009020100070008000300040600000000050000000207010003000800060004020900000005 # m_b_metcalf
11.4 # 500000009020100070008000300040002000000050000000706010003000800060004020900000005 # StrmCkr
11.4 # 100000002090400050006000700050903000000070000000850040700000600030009080002000001 # JPF 04/07/01 (Easter Monster)
11.4 # 200000006050080010004000900070301000000820000000705030009000400080010050600000002 # tarek ULTRA0203
11.4 # 100000002003400050060000700000850090000306000008090000020000100700000006009080030 # JPF 04/14/B4
11.3 # 100000002030400050006000700080509000000070000000830040700000600050008090002000001 # JPF 04/05
11.3 # 100000002030400050006000700050803000000070000000950080700000600090008030002000001 # JPF 04/08
11.3 # 100000089000009102000000400007600000030040000900002005004070000500008010060300000 # tarek 04/08
11.3 # 100000002003400050060000700000030040000806000009540000020000100700000006005090080 # JPF 04/10
11.2 # 000001020300040500000600007002000001080090030400000800500002000090030400006700000 # Ocean's New Year's present for RW
11.2 # 100000006020500040003000700040002000000430000000905080700000300050009020006000001 # coloin 04/10
11.2 # 500000009020100070008000300040620000000050000000407010300000800060004020009000005 # coloin St.Patrick 3
11.2 # 500000009020100070008000300040200000000057000000406010300000800060004020009000005 # coloin St.Patrick 13
11.2 # 500000009020100070008000300040702000000090000000460010300000800060004020009000005 # coloin St.Patrick 1
11.2 # 100000009006700020080000500000060070000308000004270000090000800500000001002040030 # RW 04/06
11.2 # 100000002090400050006000700080903000000070000000850030700000600050009080002000001 # JPF 04/07
11.2 # 100000002030400050006000700080903000000070000000850040700000600040009030002000001 # JPF 04/05
11.2 # 900000005040001030002000700060083000000504000000016080007000200010300040500000009 # tarek ULTRA0007
11.1 # 003000009400000020080600100200004000090800007005030000000900800000005030070010006 # dml 1/07
11.1 # 100000006020500040003000700040905000000074000000200080700000300050009020006000001 # coloin 04/10
11.1 # 100000006020500040003000700040800000000034000000905080007000300050009020600000001 # coloin 04/10
11.1 # 100000006020500040003000700040850000000010000000024080007000300050009020600000001 # coloin 04/10
11.1 # 500000009020100070008000300040702000000051000000600010003000800060004020900000005 # coloin mbmplus5b
11.1 # 500000009020100070008000300040001000000492000000700010003000800060004020900000005 # coloin mbmplus5a
11.1 # 100000002030040050006000700000853000040960080000400000007000100090080030200000006 # JPF 04/05
11.1 # 100000002030040050006000700000895000090410080000300000007000600050080040200000001 # JPF 04/05
11.1 # 100000002030400050006000700080903000000070000000850040700000600050009030002000001 # JPF 04/05
11.1 # 100000002030040050006000700000893000090460030000500000007000600050080040200000001 # JPF 04/05
11.1 # 100000006020500040003000700040802000000060000000045080700000300050009020006000001 # coloin 03/27
11.1 # 500000300020100070008000009040007000000821000000600010300000800060004020009000005 # coloin 03/22
11.1 # 100000002030400050006000700080300000000065000000809040700000100050008090002000006 # JPF 04/08
11.1 # 100000002030400050006000700080300000000019000000805040700000600050008090002000001 # JPF 04/08
11.1 # 100000002003400050060000700000080090000906000008540000020000600700000001005090030 # JPF 04/08
11.1 # 100000002030400050006000700080300000000015000000809040700000600050008090002000001 # JPF 04/10
11.1 # 100000002030400050006000700080300000000069000000805040700000100050008090002000006 # JPF 04/10
11.1 # 100000002030400050006000700050300000000018000000509040700000600090003080002000001 # JPF 04/10
11.0 # 600002059520040010003500200300194500010658030005273001004005100030020045750400008 # Mauricio's non minimal puzzle
11.0 # 100000007030090050006000200000853000040970080000400000007000100090080030200000006 # JPF 04/07
11.0 # 100000002030090050006000700000853000040970080000400000007000100050080030200000006 # JPF 04/07
11.0 # 100000002030090050006000700000538000040960080000400000002000600050080040700000001 # JPF 04/07
11.0 # 100000007030040050006000200000854000040960080000300000007000100090080030200000006 # JPF 04/07
11.0 # 600000002090040050001000700000895000030410080000300000007000600050080040200000001 # JPF 04/07
11.0 # 100000002030040050006000700000534000040860090000900000002000100080090030700000006 # JPF 04/05
11.0 # 010200003004050000600007000007040000500006000020800090030000000000900031000000729 # JPF 04/05
11.0 # 100000002030040050006000700000538000040960080000400000002000600090080030700000001 # JPF 04/02
11.0 # 100000002003400050060000700000050040000301000008940000020000100700000006005090030 # JPF 04/10
11.0 # 100000002030040050006000700000438000040560090000900000002000100050080030700000006 # JPF 04/10
11.0 # 100000002030400050006000700080300000000019000000805090700000600040008030002000001 # JPF 04/10
11.0 # 100000002003400050060000700000080040000301000008540000020000600700000001005090030 # JPF 04/10
10.9 # 500000009020100070008000300040206000000050000000708010300000800060004020009000005 # coloin St.Patrick 16
10.9 # 500000009020100070008000300040207000000080000000605010300000800060004020009000005 # coloin St.Patrick 12
10.9 # 003050700400009000080200000200004000090800000005060001000000040000070903001000560 # RW 04/06
10.9 # 100000002030040050006000700000534000040810090000900000002000600080090030700000001 # JPF 04/05
10.9 # 100000002030040050006000700000385000080470030000900000007000600050090040200000001 # JPF 04/05
10.9 # 100000002030400050006000700080503000000910000000006040007000600090008030200000001 # JPF 04/04
10.9 # 100000002030040050006000700000895000090460080000300000007000600050080030200000001 # JPF 04/02
10.9 # 100000009020040070003000500000827000040630080000400000005000300060080020900000001 # Eleanor6
10.9 # 600000002080001070003000400090082000000067000000900050004000300010700080200000006 # tarek ULTRA0003
10.9 # 000070100000008050020900003530000000062000004094600000000001800300200009000050070 # tarek ULTRA0100
10.8 # 100050009006700000080002000000090017300000095000000600500040030070008000002600000 # RW 04/06
10.8 # 100000002030040050006000700000895000090460080000300000007000100050080040200000006 # JPF 04/05
10.8 # 500000009020100070008000300040207000000030000000046010009000800060004020300000005 # coloin 03/22
10.8 # 100000007020004030005000800090603000000400000000908060008000500040300020700000001 # tarek ULTRA0002
10.8 # 300000007020004060005000800090802000000001000000906010008000500040600020700000003 # tarek ULTRA0005
10.8 # 200000006070009080004000300000095000050607010000108000003000400090800070600000002 # tarek ULTRA0200
10.8 # 800000009040001030007000600000023000050904020000105000006000700010300040900000008 # tarek ULTRA0207
10.8 # 100000009040008030002000600070034000000702000000850070006000200080300040900000001 # tarek ULTRA0208
10.8 # 800000005060003010007000400090021000000409000000630090004000700030100060500000008 # tarek ULTRA0209
10.7 # 500000009020100070008000300040307000000690000000002010300000800060004020009000005 # St.Patrick 6
10.7 # 500000009020100070008000300040702000000030000000046010300000800060004020009000005 # St.Patrick 4
10.7 # 000006080000100200009030005040070003000008010000200600071090000590000004804000000 # RW 04/06
10.7 # 100050009006700000080002000000090017300000045000000600500040030070008000002600000 # RW 04/06
10.7 # 000056000050109000000020040090040070006000300800000002300000008002000600070500010 # RW 04/06
10.7 # 120000080056000000708001000000900006000020400010005030000040900000600002800007050 # RW 04/06
10.7 # 100000002030400050006000700050304000000018000000009080007000600090003040200000001 # JPF 04/05
10.7 # 100000002030400050006000700080509000000283000000004090007000600090008030200000001 # JPF 04/04
10.7 # 100000002030040050006000700000850000050400090000301000007000600040080030200000001 # JPF 04/04
10.7 # 100000002030400050006000700050809000000010000000003040007000600090005030200000001 # JPF 04/04
10.7 # 100000002030400050006000700080305000000010000000009040007000600040008030200000001 # JPF 04/04
10.7 # 100000002030400050006000700080503000000064000000800090007000600040008030200000001 # JPF 04/08
10.7 # 100000002030400050006000700080903000000014000000500090007000600090008030200000001 # JPF 04/08
10.7 # 800000005010003070006000400020401000000009000000307090004000600030700010500000008 # tarek ULTRA0004
10.7 # 500000004080006090001000200070308000000050000000790030002000100060900080400000005 # tarek ULTRA0006
10.7 # 200000006050008090007000300040015000000609000000084010003000700080900050600000002 # tarek ULTRA0008
10.7 # 600000002080005090003000400070410000000860000000057010004000300050900080200000006 # tarek ULTRA0009
10.7 # 300000001020006090005000800070204000000867000000009040008000500060900020100000003 # tarek ULTRA0010
10.7 # 400000003080002060007000900010508000000701000000026050009000700020600080300000004 # tarek ULTRA0011
10.7 # 400000001090006020008000500070008000000319000000760030005000800060200090100000004 # tarek ULTRA0015
10.7 # 600000002080005070001000900040150000000027000000408030009000100050700080200000006 # tarek ULTRA0016
10.7 # 500000008030004070009000100020607000000083000000042060001000900040700030800000005 # tarek ULTRA0021
10.7 # 007002000500090400010600000400050003060100000002007000000000810900000306000080059 # tarek ULTRA0101
10.7 # 070200009003060000400008000020900010800004000006030000000000600090000051000700002 # tarek ULTRA0102
10.7 # 100080000005900000070002000009500040800010000060007200000000710000004603030000402 # tarek ULTRA0104
10.7 # 100009080030600001007020000000000039400000500000005810900008100002070000060300000 # tarek ULTRA0107
10.7 # 000900100000080007004002050200005040000100900000070008605000030300006000070000006 # tarek ULTRA0111
10.7 # 000001080030500200000040006200300500000008010000060004050000700300970000062000000 # tarek ULTRA0114
10.7 # 800000005040003020007000100000004000090702060000639000001000700030200040500000008 # tarek ULTRA0202
10.7 # 900000001030004070006000200050302000000060000000078050002000600040700030100000009 # tarek ULTRA0204
10.7 # 100000009060007050002000400030850000000360000000701030004000200070500060900000001 # tarek ULTRA0213
10.6 # 500000009020100070008000300040260000000030000000907010300000800060004020009000005 # coloin St.Patrick 8
10.6 # 500000009020100070008000300040602000000030000000047010300000800060004020009000005 # coloin St.Patrick 2
10.6 # 500000009020100070008000300040720000000030000000906010300000800060004020009000005 # coloin St.Patrick 11
10.6 # 020006000400080000009100500005000107000300052000000360060004000007900003800020000 # RW 04/06
10.6 # 100050009006700000080002000000090047300000015000000200500040030070008000002600000 # RW 04/06
10.6 # 100000009006000020080003400000097500030804000000230000070500800002000010900000006 # RW 04/06
10.6 # 100050009006700000080002000000090017300000045000000200500040030070008000002600000 # RW 04/06
10.6 # 003050000400009000080200000200004000090800000005060001000000217001000806000070503 # RW 04/06
10.6 # 003050000400009200060700000200000907000000608000001540070600000005030000900004001 # RW 04/03
10.6 # 003050000400009200060700000200000910000000608000001540070600000005030000900004001 # RW 04/03
10.6 # 003400000050009000600070001200000160000000097000010302090005000700060020004300000 # RW 04/03
10.6 # 003400000050009000700020060200070008004300000090005000000060201800000037000000006 # RW 04/03
10.6 # 020400009006080000700003000008060000300007000040200010000900870000000405010000020 # RW 04/03
10.6 # 020400009006080000700003000008060000300007000040200050000000640000500097090000001 # RW 04/03
10.6 # 100050000006700020080003000000000397000200005004000200500010000030008000007600400 # RW 04/03
10.6 # 003400080050009000600070001200000000070010060004800003000030900001600020000005004 # ravel 04/02
10.6 # 003400700050009006000020000004000010090600300800000005000008090001030002070500400 # ravel 04/02
10.6 # 020006009400000030008000500009040060030002008700000100060900070000010000005008002 # ravel 04/02
10.6 # 100000002030400050006000700080009000000524000000003040007000600040005090200000001 # JPF 04/04
10.6 # 100000002030400050006000700050809000000023000000004080007000600040005090200000001 # JPF 04/04
10.6 # 100000002030040050006000700000089000080460030000500000007000600050030080200000001 # JPF 04/04
10.6 # 100000002030040050006000700000839000080560090000400000007000600050090030200000001 # JPF 04/04
10.6 # 100000002030040050006000700000853000040092080000400000007000600090080030200000001 # JPF 04/04
10.6 # 100000002030400050006000700080052000000310000000009040007000600090008030200000001 # JPF 04/04
10.6 # 100000002030400050006000700080002000000314000000009040007000600090008030200000001 # JPF 04/04
10.6 # 100000002030040050006000700000354000040860090000900000002000100050080030700000006 # JPF 04/10
10.6 # 700000005040001030002000900060008000000946000000103080009000200010300040500000007 # tarek ULTRA0012
10.6 # 200000006090007040001000300050804000000205000000079080003000100070400090600000002 # tarek ULTRA0013
10.6 # 400000008050002090001000600070503000000060000000790030006000100020900050800000004 # tarek ULTRA0014
10.6 # 600000002070008050009000100040003000000147000000805030001000900080500070200000006 # tarek ULTRA0019
10.6 # 300000009080001070002000600050840000000503000000107040006000200010700080900000003 # tarek ULTRA0023
10.6 # 100000004020006090005000800030650000000372000000098070008000500060900020400000001 # tarek ULTRA0024
10.6 # 900000001030004070006000200050460000000853000000072080002000600040700030100000009 # tarek ULTRA0026
10.6 # 500000008030007040001000900020603000000725000000800060009000100070400030800000005 # tarek ULTRA0028
10.6 # 400000009070008030006000100050702000000065000000003020001000600080300070900000004 # tarek ULTRA0029
10.6 # 100000009020004030005000800070400000000630000000725060008000500040300020900000001 # tarek ULTRA0030
10.6 # 300000007020006090005000800010420000000103000000609040008000500060900020700000003 # tarek ULTRA0032
10.6 # 300000005020007040001000900080036000000028000000704060009000100070400020500000003 # tarek ULTRA0036
10.6 # 900000005040008030002000100060980000000647000000050070001000200080300040500000009 # tarek ULTRA0037
10.6 # 000007090000800400003060001420010000031000002605000000060400800500020006000009070 # tarek ULTRA0105
10.6 # 000600001000020400300009050090005030000040200000100006570008000002000000080000090 # tarek ULTRA0112
10.6 # 006003000900080200070400000003006000040700000800020090500000008000000709000510020 # tarek ULTRA0118
10.6 # 600005020040700000009080000010000302000000087000200104070400003500006000008090000 # tarek ULTRA0120
10.6 # 010300000000009000000710050004050900200000006070800030600000002080030070009000400 # tarek ULTRA0121
10.6 # 000008070000300200005040009260094000059000006401000000000200300100060004000007080 # tarek ULTRA0122
10.6 # 000800300000010005004002070200007040000300807000050001907000060600009000050000000 # tarek ULTRA0126
10.6 # 800000007040001030009000600000532000050108020000400000006000900010300040700000008 # tarek ULTRA0201
10.6 # 800000005040003020007000100000539000090004060000002000001000700030200040500000008 # tarek ULTRA0205
10.6 # 700000003060002010008000500040903000000050000000061040005000800020100060300000007 # tarek ULTRA0206
10.6 # 500000009030007040001000200080601000000020000000930080002000100070400030900000005 # tarek ULTRA0210
10.6 # 700000003010004020008000500060040000000031000000902060005000800040200010300000007 # tarek ULTRA0214
10.6 # 200000006090005010004000300080009000000820000000573080003000400050100090600000002 # tarek ULTRA0215
10.6 # 900000007030008040006000200010389000000010000000205010002000600080400030700000009 # tarek ULTRA0219
10.6 # 700000003010004020008000500060902000000630000000001060005000800040200010300000007 # tarek ULTRA0220
10.6 # 300000009010006050002000400070060000000701000000845070004000200060500010900000003 # tarek ULTRA0221
10.5 # 500000009020100070008000300040271000000900000000060010300000800060004020009000005 # coloin St.Patrick 9
10.5 # 500000009020100070008000300040206000000430000000009010300000800060004020009000005 # coloin St.Patrick 14
10.5 # 500000009020100070008000300040260000000030000000709010300000800060004020009000005 # coloin St.Patrick 10
10.5 # 100450000000009000000230005008000900300500007060000040004000800700010002090000060 # RW 04/06
10.5 # 100450000000009000000320005008000900300500007060000040004000800700010002090000060 # RW 04/06
10.5 # 100050009006700000080002000000000800300000015000090047500040030070008000002600000 # RW 04/06
10.5 # 100050009006700000080002000000000800300000045000090017500040030070008000002600000 # RW 04/06
10.5 # 100050000006700020080003000000000090004000206000200341500010000030008000007600004 # RW 04/04
10.5 # 000000789000100036009000010200030000070004000008500100300020000005800090040007000 # RW 04/03
10.5 # 000050009400000120000000064200030005007001000080600000300020040060800000001007000 # RW 04/03
10.5 # 003006000050100000900020004200090070010500000006003000000000620000040057700000900 # RW 04/03
10.5 # 003006000400080200090700000070900000800040005006003000000000900500000408000020301 # RW 04/03
10.5 # 003400000050009000600070001200000160000000097000010402090005000700060020004300000 # RW 04/03
10.5 # 020400009006080000700003000008060000300007000040200050090000000000500091000000645 # RW 04/03
10.5 # 100050000006700000080003040007600000500010000030008200040000021000002003000000608 # RW 04/03
10.5 # 100050000006700002080003000000000054004000901000200370500010000030008000007600400 # RW 04/03
10.5 # 100050000006700020080003000000000097000200605004000200500010000030008000007600400 # RW 04/03
10.5 # 100050000006700020080003000000000307000200640004000008500010000030008000007600004 # RW 04/03
10.5 # 003006009400080200000700050200030800006000000090000001500200007000001030008040600 # ravel 04/02
10.5 # 003400000050080100700002060090070050000000200600000008010060090800300400002007000 # ravel 04/02
10.5 # 020006080400000003009000500000700000800005040030020100000040007500800900060003020 # ravel 04/02
10.5 # 100000000006700020080030500007060030000500008000004900300800600002090070040000001 # ravel 04/02
10.5 # 100006009007080030000200400000500070300001002000090600060003050004000000900020001 # ravel 04/02
10.5 # 100006080050700002000030000090000400007000010800005006002000900600001007030040050 # ravel 04/02
10.5 # 100000002030400050006000700080603000000814000000005040007000600090008030200000001 # JPF 04/05
10.5 # 100000002030400050006000700080503000000014000000009030002000600090008040700000001 # JPF 04/04
10.5 # 100000002030040050006000700000438000040500090000970000007000600080090030200000001 # JPF 04/04
10.5 # 100000009020040070003000500000872000040006080000050000005000300060080020900000001 # coloin 03/29
10.5 # 001020000300004000050600070080900005002003000400010000070000038000800069000000200 # JPF 04/10
10.5 # 100000009030004070006000200050940000000017000000305080002000600040700030900000001 # tarek ULTRA0000
10.5 # 300000007050008060002000900010460000000020000000107040009000200080600050700000003 # tarek ULTRA0001
10.5 # 800000001050009040003000600070056000000980000000704020006000300090400050100000008 # tarek ULTRA0017
10.5 # 400000003010002070008000500060209000000100000000680090005000800020700010300000004 # tarek ULTRA0018
10.5 # 600000002080005010003000400070928000000500000000016090004000300050100080200000006 # tarek ULTRA0022
10.5 # 400000003070002060008000500010406000000280000000170090005000800020600070300000004 # tarek ULTRA0027
10.5 # 200000006010005080007000300090004000000170000000593040003000700050800010600000002 # tarek ULTRA0031
10.5 # 600000002070008050001000900040203000000786000000005030009000100080500070200000006 # tarek ULTRA0035
10.5 # 400000009080002060001000700300074000000805000000016050007000100020600080900000004 # tarek ULTRA0103
10.5 # 097000000301005000045000800003008400000020060000100009700004300000900001000060020 # tarek ULTRA0108
10.5 # 007580000000030000000076005400000020090000100003060008010600900006800003200000040 # tarek ULTRA0113
10.5 # 010000009005080700300700060004250000000000000000840200008007500600000030090000001 # tarek ULTRA0115
10.5 # 000900060010003400003070002040000000008000500051008000000600090000020007300004100 # tarek ULTRA0116
10.5 # 700040000008300009050006000003800000400070000010005600000000540000009102020000906 # tarek ULTRA0119
10.5 # 003700000050004000100020080900000012000000400080010090007300000200090006040005000 # tarek ULTRA0123
10.5 # 000000100600000874000007026030400000005090000100008002009050000200001008040300000 # tarek ULTRA0124
10.5 # 300000007010008020004000900600701000000582000000063050009000400080200010700000003 # tarek ULTRA0125
10.5 # 300000009020001070005000800000002000040087060000614000008000500010700020900000003 # tarek ULTRA0212
10.5 # 100000004070006020005000800030029000000080000000705030008000500060200070400000001 # tarek ULTRA0218
10.5 # 400000007050009080002000600030100000000020000000458030006000200090800050700000004 # tarek ULTRA0222


JPF
Last edited by JPF on Sun Apr 15, 2007 4:19 pm, edited 6 times in total.
JPF
2017 Supporter
 
Posts: 3754
Joined: 06 December 2005
Location: Paris, France

Postby JPF » Wed Apr 04, 2007 5:48 pm

see here.

JPF
Last edited by JPF on Thu Apr 05, 2007 6:07 pm, edited 1 time in total.
JPF
2017 Supporter
 
Posts: 3754
Joined: 06 December 2005
Location: Paris, France

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