How many 1-clue-box and 2-clue-box?

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

Re: How many 1-clue-box and 2-clue-box?

Postby coloin » Tue Sep 20, 2022 2:02 pm

Code: Select all
+---+---+---+
|...|...|12.|
|...|...|456|
|...|...|789|
+---+---+---+
|618|735|...|
|34.|.21|...|
|5.2|6.4|...|
+---+---+---+
|8..|3.7|...|
|1..|.58|...|
|753|162|...|
+---+---+---+   minimal 34 clues 26plus8

There are a few 27plus7 puzzles so perhaps a 35C 27plus8 cant be ruled out, but not holding breath either ! ...
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Re: How many 1-clue-box and 2-clue-box?

Postby m_b_metcalf » Wed Sep 21, 2022 7:52 am

Well done! I've pulled the plug on my search now.
Mike
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Re: How many 1-clue-box and 2-clue-box?

Postby blue » Sat Sep 24, 2022 10:39 pm

I've competed some exhaustive testing work, on the "B1269 empty, minimum clue count" problem.

Part 1, verified that no 19 clue puzzles exist, and allowed collecting all of the 20c puzzles with >= 6 clues in box 3.
Part 2, collected all of the 5plus15 puzzles -- 306 of them, in the end.

Part 1, started by producing all of the 9plus14 (and 9plus13) puzzles.
No 9plus12s or smaller were found.
There were 116 9plus13's, and 561204 9plus14s (including 2615 non-minimals).

In minimalizing the "9plus14" cases, 139 7plus13 and 2764 6plus14's were produced.
No 19c puzzles, and no 20c 8plus12s were found.

With at least 5 clues required in B3, if a 19c puzzle existed, it would have extension to a (non-minimal) 9plus14.
Since no 9plus14 puzzle reduced to a 19c, no 19s exist.

The final counts for 20c puzzles were:

Code: Select all
5+15 : 306
6+14 : 2764
7+13 : 139
8+12 : 0

total: 3209

------

coloin wrote:So - I found 114 9plus13s - [ with x9 = 1036 8plus13s, ands only 138 7plus13s - which were all minimal] - this could well be approaching the total.

Pretty close !

Along the way over 2500 6plus14s and 171 5plus15s [all minimal] puzzles were collected - and this is still expanding as - the search space is significantly larger still

That was > 90% of the 6plus14s, with a way to go, still, on the 5plus15s.
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Re: How many 1-clue-box and 2-clue-box?

Postby Serg » Sun Sep 25, 2022 9:16 am

Brilliant blue!
Great work, as usual!
How many ED 20-clue patterns did you find?
Please, describe in more details the step
blue wrote:Part 1, started by producing all of the 9plus14 (and 9plus13) puzzles.
No 9plus12s or smaller were found.

In what way did you produce all of the 9plus14 (and 9plus13) puzzles?

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Re: How many 1-clue-box and 2-clue-box?

Postby coloin » Sun Sep 25, 2022 11:48 am

Excellent blue and thanks for confirming I was just one puzzle out !!
The more amazing part would be to know how to chose the 13 clues out of the 36 in B4578 in each valid B34578. [ and 14 and 15 !!]

though I am pretty sure that you didnt add 11 clues to B4578
Code: Select all
+---+---+---+
|...|...|123|
|...|...|456|
|...|...|789|
+---+---+---+
|...|..1|...|
|...|...|...|
|...|...|...|
+---+---+---+
|..1|...|...|
|...|...|...|
|...|...|...|
+---+---+---+  add 11 clues !!!
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Re: How many 1-clue-box and 2-clue-box?

Postby JPF » Sun Sep 25, 2022 4:29 pm

Well done!, of course.
Finding all the solutions to a problem has the disadvantage of having to answer many questions...

I only found three 21Cs B1269=0 having a box with only one clue.
Here are mine :
Code: Select all
.......12......345......67......1.......82.....56......9.7.....28.5.....61.34....
.......12......345......67......1.......82.....57......9.6.....28.5.....71.34....
.......12......345......67......1.......82.....57......9.3.....28.5.....71.64....

Are there others?

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Re: How many 1-clue-box and 2-clue-box?

Postby blue » Sun Sep 25, 2022 7:11 pm

JPF wrote:Finding all the solutions to a problem has the disadvantage of having to answer many questions...

Yeah, I suppose so :D

I only found three 21Cs B1269=0 having a box with only one clue.
(...)
Are there others?

My 21c list is only complete for 14 clues or less in B4578.
It has your 3 puzzles, and one more. I think this is the morph with the shape, that's closest to the other three.

Code: Select all
.......12......345......67....4.6.......21.....3.......1..4....59.8.....2.835....

---

Serg wrote:How many ED 20-clue patterns did you find?

956 patterns ... one with 180 degree rotational symmetry (2 puzzles), and 7 with diagonal reflection symmetry (18 puzzles).
This shape has 7 puzzles (the max, for the 8 patterns):
Code: Select all
+-----+-----+-----+
| ... | ... | xxx |
| ... | ... | .xx |
| ... | ... | ..x |
+-----+-----+-----+
| xxx | ... | ... |
| x.. | x.. | ... |
| ... | xx. | ... |
+-----+-----+-----+
| .xx | ..x | ... |
| ..x | ..x | ... |
| ... | .xx | ... |
+-----+-----+-----+
Last edited by blue on Sun Sep 25, 2022 8:40 pm, edited 1 time in total.
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Re: How many 1-clue-box and 2-clue-box?

Postby blue » Sun Sep 25, 2022 7:55 pm

For Colin and Serg,

The code that I used, was a modified version of my code for the 17-clue search.
A complete explanation would be long and complicated, but the basic idea, involves puzzles like this, in the first stage:

Code: Select all
+-------+-------+-------+
| . . . | . . . | x x x |
| . . . | . . . | x x x |
| . . . | . . . | x x x |
+-------+-------+-------+
|               | . . . |
|   <= 7 clues  | . . . |
|               | . . . |
+-------+-------+-------+
| g g g | g g g | g g g |
| g g g | g g g | g g g |
| g g g | g g g | g g g |
+-------+-------+-------+


The 9c (or 5c) box, is the box with x's, and really it can be any of the 6 boxes in bands 1 & 2.

Band 3 is a band fill with one of the 44 "gangster (mini-column) signatures", and bands 1 & 2 in the puzzles' solution grids, are minlex with respect to transformations that preserve the gangster signature in band 3. There are 983,959,110 (ED) cases like that ... "gangster signature" + "compatible bands 1&2 fill".

For the first part of the search, band 3 can be any of the bands that have the required gangster signatures, and puzzles like the one above, are identified.

For the next part, there's a loop over the compatible band 3 fills, and an attempt to clear the band 3 box that's under the box with the x's, and then reduce the clue count in the other boxes, to be small enough to make a 9plus14 (or less) puzzle, or for the 5+15 search, to make a 5plus15.

I'm leaving a bunch of details out ... like having tables for each canonical band type, listing thier "5c one box puzzles", "7c <= two box puzzles", and so on.
and translating those to match the particular band 1 & band 2 fills.

Both problems (9+14 and 5+15) have a diagonal reflection symmetry, that I didn't exploit ... so I ended up finding each puzzle twice, basically.
The 9+14 search took 36 hours, and the 5+15 search took 45 hours, on a machine with 8 (physical) cores, running at 4.5 GHz.

Is this enough of an anwer ?
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Re: How many 1-clue-box and 2-clue-box?

Postby blue » Sun Sep 25, 2022 8:36 pm

For Mike and JPF:

20C cousins, with 180 degree symmetry.

Code: Select all
+-------+-------+-------+    +-------+-------+-------+
| 8 7 6 | . . . | . . . |    | 8 7 6 | . . . | . . . |
| 3 . . | . . . | 7 . . |    | 3 . . | . . . | 7 . . |
| . . . | . . . | 2 1 . |    | . . . | . . . | 2 1 . |
+-------+-------+-------+    +-------+-------+-------+
| . . . | 1 2 3 | . . . |    | . . . | 1 2 3 | . . . |
| . . . | . . . | . . . |    | . . . | . . . | . . . |
| . . . | 4 5 6 | . . . |    | . . . | 4 5 6 | . . . |
+-------+-------+-------+    +-------+-------+-------+
| . 1 4 | . . . | . . . |    | . 1 5 | . . . | . . . |
| . . 2 | . . . | . . 5 |    | . . 2 | . . . | . . 4 |
| . . . | . . . | 8 9 6 |    | . . . | . . . | 8 9 6 |
+-------+-------+-------+    +-------+-------+-------+

876......3.....7........21....123...............456....14........2.....5......896
876......3.....7........21....123...............456....15........2.....4......896
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Re: How many 1-clue-box and 2-clue-box?

Postby JPF » Sun Sep 25, 2022 9:54 pm

Here is a 20C with diagonal symmetry:

Code: Select all
+-------+-------+-------+
| . . . | . . . | . 1 2 |
| . . . | . . . | 3 4 5 |
| . . . | . . . | . 6 . |
+-------+-------+-------+
| 3 7 . | . . . | . . . |
| . 4 . | 8 6 . | . . . |
| . 5 . | . 9 . | . . . |
+-------+-------+-------+
| 1 . 9 | . . . | . . . |
| . . . | 5 8 2 | . . . |
| . . 2 | . . 7 | . . . |
+-------+-------+-------+

JPF
Last edited by JPF on Sun Sep 25, 2022 10:43 pm, edited 1 time in total.
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Re: How many 1-clue-box and 2-clue-box?

Postby Serg » Sun Sep 25, 2022 10:27 pm

Hi, blue!
The outline of your method is (approximately) understandable for me.
Would you post all found 20-clue puzzles?

Serg
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Re: How many 1-clue-box and 2-clue-box?

Postby blue » Sun Sep 25, 2022 11:53 pm

Serg wrote:Would you post all found 20-clue puzzles?

OK ...

5plus15: (306)
Hidden Text: Show
........1.......2.......345.....1.....1456...37...8.....6..4....8.27.....95......
........1.......2.......345.....1.....256....784........96.2....3.94....17.......
........1.......2.......345.....1.....2675....38........9286...5.14.....7........
........1.......2.......345.....1.....3.56...247.........4.8...519.6....6....2...
........1.......2.......345.....1.....3.56...247.........4.8...5193.....6....2...
........1.......2.......345.....1.....3.56...472.........4.8....6...2...159.6....
........1.......2.......345.....1.....3.56...472.........4.8....6...2...1593.....
........1.......2.......345.....1.....3.56...4723........4.8....6...2...195......
........1.......2.......345.....1.....356....247.3........28....6...4...195......
........1.......2.......345.....1.....356....247.3.......8.2....6..4....195......
........1.......2.......345.....1.....4675...38.........6.......15.4.....9.827...
........1.......2.......345.....1.....4675...38.........6.......15.46....9.82....
........1.......2.......345.....1.....6.35....376.4......286...15.7.....9........
........1.......2.......345.....1.....6.57...289.......4.63.....5.8.4...37.......
........1.......2.......345.....1.....6.57...892.......4.63.....78......35.9.....
........1.......2.......345.....1.....6.57...892.......4963.....7.......35.9.....
........1.......2.......345.....1.....657....894........27.6....3.24....18.......
........1.......2.......345.....1....13.65...27.........587.....96......8..2.4...
........1.......2.......345.....1....13.65...78.........528.....96......2..7.4...
........1.......2.......345.....3.....6.71....89......2789.....3....7...4...65...
........1.......2.......345.....4.....6.27...158.........95......71.....642.3....
........1.......2.......345.....4.....6.27...589.........15......78.....462.3....
........1.......2.......345.....4.....6.32....376.5......186...42.7.....9........
........1.......2.......345.....4.....627....158..........95.....7.1....642..3...
........1.......2.......345.....4.....627....158.........9.5.....21.....647..3...
........1.......2.......345.....4.....627....189........831.....27.8....49.......
........1.......2.......345.....4.....627....189.......27.8.....5.31....49.......
........1.......2.......345.....4.....627....189.......27.8....49.......6..31....
........1.......2.......345.....4.....6783...249.........89.....3.2.....71.6.....
........1.......2.......345.....4.....6783...249.........89.....3.2.....75.6.....
........1.......2.......345.....4....16......3.4.27....8.1.5...2.9......7..86....
........1.......2.......345.....4....16......3.4.72....8.1.5...2..86....7.9......
........1.......2.......345.....4....34.26...7.8.......29.......6.18....1..7.5...
........1.......2.......345.....4....34.62...7.8.......2.18.....69......1..7.5...
........1.......2.......345.....6.....124....785........9.21....3.59....67.......
........1.......2.......345.....6.....315....2473.........82....1.4.....695......
........1.......2.......345.....6.....3157...28.9........642.....78......51......
........1.......2.......345.....6.....3157...28.9........648.....72.....5.1......
........1.......2.......345.....6.....3472...18..9.......561.....2.8.....47......
........1.......2.......345.....6.....3472...18..9.......568.....2.1....4.7......
........1.......2.......345.....6.....3472...58........1.89.....76......4.23.....
........1.......2.......345.....6.....6145...37...8.....5..4....8.72.....91......
........1.......2.......345.....6.....6451...37...8.....1..4....8.27.....95......
........1.......2.......345.....6.....7.15...892.......4.73.....58......31.9.....
........1.......2.......345.....6.....7.42...891.......28.......5.73....34.9.....
........1.......2.......345.....6.....715....894........2.17....3.42....68.......
........1.......2.......345....13.....16.5....78......4..73....5.9......6..2.4...
........1.......2.......345....13....26.7....4.8.........42....197..5...5..6.....
........1.......2.......345....13....26.7....4.8.........42....197.8....5..6.....
........1.......2.......345....13....26.7....48..........42....179..5...5..6.....
........1.......2.......345....13....26.7....48..........42....179.8....5..6.....
........1.......2.......345....14....23.6....57...8......759....6.3.....2.4......
........1.......2.......345....14....23.6....57..3.......758....6.3.....2.4......
........1.......2.......345....15.....2..6...478........6.24...3..8.....917......
........1.......2.......345....15.....2..6...478........972....5....4...681......
........1.......2.......345....15.....2..6...478.......4.72.....6.9.4...35.......
........1.......2.......345....15.....2..6...478.......8..24...3..8.....917......
........1.......2.......345....15.....2..6...478......3..8.....5...24...917......
........1.......2.......345....15.....2.6....478........72.9...3..74....58.......
........1.......2.......345....15.....2.6....478........79.2...3..74....58.......
........1.......2.......345....15.....2.6....478......3..74....58.......6..2.9...
........1.......2.......345....15.....2.6....478......3..74....58.......6..9.2...
........1.......2.......345....15.....36.....478.......2.84....6..1.3...95.......
........1.......2.......345....15.....36.....478......3..84....6..1.3...95.......
........1.......2.......345....15.....36.....782.......1..9.....3..24...865......
........1.......2.......345....15.....36.....782.......1..9....865......9...24...
........1.......2.......345....15.....36.....782.......14.9....86.......9...24...
........1.......2.......345....15.....4..6...278..3......7.2....6...4...915......
........1.......2.......345....15.....4..6...2789........7.2....6...4...915......
........1.......2.......345....15.....4.6....782..4......7.3.....7.42...91.......
........1.......2.......345....15.....4.6....7829........7.3.....7.42...91.......
........1.......2.......345....15.....6..7...248..........64....3.2.....819.7....
........1.......2.......345....15.....6..7...248..........64....3.2.....8195.....
........1.......2.......345....15.....6..7...248........926.....5...4...871......
........1.......2.......345....15.....6..7...248......4..26....53.......7..9.4...
........1.......2.......345....15.....6.7....482.3.......6.8...1.9..2...75.......
........1.......2.......345....15....12.6....7.8.......3.74.....6.9.2...85.......
........1.......2.......345....16.....2..3....78......3.67.4...4...25...98.......
........1.......2.......345....16.....2..4....7428.......7.8...16.......9.53.....
........1.......2.......345....16.....2..5...478........5.24...3..8.....917......
........1.......2.......345....16.....2..5...478.......63.......8.72....1...94...
........1.......2.......345....16.....2..5...478.......63.......8.72....5...94...
........1.......2.......345....16.....2..5...478.......8..24...3..8.....917......
........1.......2.......345....16.....2..5...478......3..8.....6...24...917......
........1.......2.......345....16.....2.3.....78......36..5....4.78.....9...42...
........1.......2.......345....16.....2.5....478.........84....5...2....916..7...
........1.......2.......345....16.....2.5....478.........84....5...2....916.3....
........1.......2.......345....16.....25.....478.......2.8.7....653.....1.9......
........1.......2.......345....16.....25.....478.......653.....1.9......3..8.7...
........1.......2.......345....16.....35......748......2...3....8.17....96..4....
........1.......2.......345....16.....35.7....82......1..42....3..9.....865......
........1.......2.......345....16.....35.7....89......1..29....3..4.....865......
........1.......2.......345....16.....35.7....89......1..49....3..2.....865......
........1.......2.......345....16.....357.....82.......9.4.....16.......8.49.2...
........1.......2.......345....16.....357.....82.......9.4.....165......8..9.2...
........1.......2.......345....16.....357.....84........5.9.....6.2.4...17.3.....
........1.......2.......345....16.....357.....89.......2.4.....16.......8.42.9...
........1.......2.......345....16.....357.....89.......2.4.....165......8..2.9...
........1.......2.......345....16.....357.....89.......4.2.....165......8..4.9...
........1.......2.......345....16.....37.5....82.3.......842.....5..9...17.......
........1.......2.......345....16.....37.5....829........842.....5..9...17.......
........1.......2.......345....16.....748.....42..7......269....58......1..3.....
........1.......2.......345....16....24.3....78..........648.....93.....1.57.....
........1.......2.......345....16....24.3....78..........8.7.....5..9...1.965....
........1.......2.......345....16....24.3....78..........847.....5..9...1.96.....
........1.......2.......345....34....16.7....5.89........85......71.....249......
........1.......2.......345....34....16.7....58.9........85.....7.1.....294......
........1.......2.......345....36.....642....78..........75......41.....962..8...
........1.......2.......345....36.....642....78..........75......41.....962.4....
........1.......2.......345....36.....78.....152.7....3....1...5....7...84.9.....
........1.......2.......345....36.....78.....1524.....3....1...5....7...84.9.....
........1.......2.......345....36....145.....67.8.....3....2...4....7...8.59.....
........1.......2.......345....45.....426....78.........615.....1...7...892......
........1.......2.......345....45.....426....78.........615.....1...8...972......
........1.......2.......345....46.....1..2...578........678....3..1.5...4.9......
........1.......2.......345....46.....32.....781.......3..51....6...9...824......
........1.......2.......345....46.....32.....781.......6...9...824......9...51...
........1.......2.......345....46.....5.2....178.......1.75....36..9....7....4...
........1.......2.......345....46.....5.2....178.......1.75....63..9....7....4...
........1.......2.......345....46.....61.5...78.........52.4....2..7....891......
........1.......2.......345....46.....61.5...78.........52.4....2..8....971......
........1.......2.......345....46.....7..2...158........618.....3.7.5....49......
........1.......2.......345....46.....7.2....158.......2...1....3..78...4.9.3....
........1.......2.......345....46.....73......25.8.....1...7...6.35.1...89.......
........1.......2.......345....46.....78......517........691....28..7...4...2....
........1.......2.......345....46.....78......517........691....28.5....4...2....
........1.......2.......345....46....15.3....78.........38.1....9..5....4.2..7...
........1.......2.......345....67.....1..5....8519.......8.9...2.43.....67.......
........1.......2.......345....67.....12......581........579....248.....6....4...
........1.......2.......345....67.....3..1....82..9.....839.....945.....7....6...
........1.......2.......345....67.....3..4....81.9......83......95..6...6..27....
........1.......2.......345....67.....34.2....89.......1.5.....76.......8.519....
........1.......2.......345....67.....34.2....89.......1.5.....764......8..19....
........1.......2.......345....67.....34.2....89.......5.1.....764......8..59....
........1.......2.......345....67.....34.2....89......3..1.....6..59....874......
........1.......2.......345....67.....34.2....89......3..5.....6..19....874......
........1.......2.......345....67.....81......248........279....154.....6....5...
........1.......2.......345....67.....81......428........479....152.....6....5...
........1.......23......45......1.....1.63...57...8.....39.......45.2...816......
........1.......23......45......1.....2.3.....6475.......678...1.3..9...9...2....
........1.......23......45......1.....2.3.....6574.......678...1.3..9...9...2....
........1.......23......45......1.....2.3.....6745.......6.8...143..9...9..1.....
........1.......23......45......1.....2.3.....6754.......6.8...153..9...9..1.....
........1.......23......45......1.....4.3.....6745.......6.8...1.3.79...9..1.....
........1.......23......45......1.....4.3.....6745.......648...1.3..9...9...2....
........1.......23......45......1.....5.36...247.......5.47....1...8....693......
........1.......23......45......1.....5.36...247.......5.47....183......6...9....
........1.......23......45......1.....5.36...247.......5.74....1...8....693......
........1.......23......45......1.....5.36...247.......5.74....183......6...9....
........1.......23......45......1.....5.36...247......1...8....693......8..47....
........1.......23......45......1.....5.36...247......1...8....693......8..74....
........1.......23......45......1.....5.36...247......183......6...9....9..47....
........1.......23......45......1.....5.36...247......183......6...9....9..74....
........1.......23......45......1.....5.36...274.......5.47....1...8....693......
........1.......23......45......1.....5.36...274.......5.47....183......6...9....
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6plus14 part 1: (664)
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........1.......23......456.....1.....7356....28......3..29....65.......9..7.....
........1.......23......456.....1.....7356....84.......2.78....3........6.12.....
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........1.......23......456.....1.....7356....84.......9.78....3........6.12.....
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........1.......23......456.....1.....7356...48.........3.......7.98....1.62.....
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........1.......23......456.....1.....7365....827........84....3.5......6..9.....
........1.......23......456.....1.....7368...25..........59......36.....1.64.....
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........1.......23......456.....1....35......74..82......37......1..5...8.69.....
........1.......23......456.....1....36......5.7.84......79.....1..2....62.3.....
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........1.......23......456.....2.......35....67..4....4.61....3........5829.....
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........1.......23......456.....2.......65....17..4....8.19....5.28.....67.......
........1.......23......456.....2.......75....389.......184....526.1....7........
........1.......23......456.....2.......75....389.....3..84....526.1....7........
........1.......23......456.....2......576....18......3..614...5.2......7..3.....
........1.......23......456.....2.....1..3...478.......8.17....2....6...59..8....
........1.......23......456.....2.....1..3...478......2....6...59..8....6..17....
........1.......23......456.....2.....1..6....74.89....8.4......9.......32.15....
........1.......23......456.....2.....1..6...478......2....3...3..17....95..8....
........1.......23......456.....2.....1..7...485.........361...29.5.....3..4.....
........1.......23......456.....2.....1.3.....75.8.....8.7.....2..9.....9.45.6...
........1.......23......456.....2.....1.35....78......25.61....4..8.....9...7....
........1.......23......456.....2.....1.35....78..1...25.6.....4..8.....9...7....
........1.......23......456.....2.....1.35....78..4......79....2........3851.....
........1.......23......456.....2.....1.35...789.......5........6.14....43.7.....
........1.......23......456.....2.....1.35...789.......5........6.14....43.8.....
........1.......23......456.....2.....1.53....78......2.5.1....4..67....9..8.....
........1.......23......456.....2.....1.53....78......2.51.....4..67....9..8.....
........1.......23......456.....2.....1.53....78......25.1.....4..68....9..7.....
........1.......23......456.....2.....1.53...476.........86.....2.1.....59.4.....
........1.......23......456.....2.....1.53...478........418....2...6....9...7....
........1.......23......456.....2.....1.53...789.......3........4.1.....82.74....
........1.......23......456.....2.....1.53...789.......3........6.14....45.7.....
........1.......23......456.....2.....1.53...789.......3........6.14....45.8.....
........1.......23......456.....2.....1.56....65..7......81.....37......24.9.....
........1.......23......456.....2.....1.56....78......235......6..89....9...4....
........1.......23......456.....2.....1.56....78......25.1.....4..38....9..7.....
........1.......23......456.....2.....1.56....78.3....23..1....4..8.....9...7....
........1.......23......456.....2.....1.57....839........84....5........762..5...
........1.......23......456.....2.....1.57...389.......2........3.96....84..1....
........1.......23......456.....2.....1.57...389..6.......8....2...1....4.79.....
........1.......23......456.....2.....1.65....78......26.1.....4..89....9..3.....
........1.......23......456.....2.....1.7.....48.13......5.8...2..9.....974......
........1.......23......456.....2.....1.7.....52..3....3.5.6....6.1.....78.9.....
........1.......23......456.....2.....1.73....87......2........4..716...9.58.....
........1.......23......456.....2.....1.73....89......2........4..196...7.5.8....
........1.......23......456.....2.....1.75....83..6......86....54.......7.21.....
........1.......23......456.....2.....1.75....839........84....562..7...7........
........1.......23......456.....2.....135.....78.4....3....8...5...27...64.......
........1.......23......456.....2.....1357....89......2........4..87....53..6....
........1.......23......456.....2.....1573....84.......7.18....2...5....93.......
........1.......23......456.....2.....1789....45.........34....726......8...9....
........1.......23......456.....2.....1789....54.........35....726......8...1....
........1.......23......456.....2.....2573...16.........5.......238.....8..91....
........1.......23......456.....2.....2576...13.........5.......268.....8..91....
........1.......23......456.....2.....2781...46..........69......7.1....258......
........1.......23......456.....2.....3.16....71......2..7.....4..38....98.5.....
........1.......23......456.....2.....3.5.....4163.......4.7...2....8...895......
........1.......23......456.....2.....3.5.....56..1...2...3....7..56....84.7.....
........1.......23......456.....2.....3.5.....56..1...2...6....7..53....84.7.....
........1.......23......456.....2.....3.56....78......25.3.....4..18....9..7.....
........1.......23......456.....2.....3.57....81..6......86....5.23.....74.......
........1.......23......456.....2.....3.57....819........84....5........762..5...
........1.......23......456.....2.....3.6.....56..1...2...3....7..65....84.7.....
........1.......23......456.....2.....3.75....819........84....562..7...7........
........1.......23......456.....2.....3.75....841........81....59.7.....7.2......
........1.......23......456.....2.....3.75...18..6.......8.3....25..9...4.7......
........1.......23......456.....2.....3.75...68..3.......89......7......245..6...
........1.......23......456.....2.....3157....89.......4.86....5........7.2..4...
........1.......23......456.....2.....3157....89.......6.84....5........7.2..6...
........1.......23......456.....2.....3157...48..........46.....27.9....1.5......
........1.......23......456.....2.....3165...78...........36....2.......9718.....
........1.......23......456.....2.....3675...48..........81.....67......2.5.9....
........1.......23......456.....2.....4..5....37.64......34....2.89.....95.......
........1.......23......456.....2.....4.17....89.........18....29..4....3.5.9....
........1.......23......456.....2.....4.35...16...4......17.....25.8....9.3......
........1.......23......456.....2.....4.35...17..8.......16......3......2954.....
........1.......23......456.....2.....4.35...67..8.......61......3......2954.....
........1.......23......456.....2.....4.57....893........918...2.5......7...4....
........1.......23......456.....2.....4.75....16..4...25..8....3..69....9........
........1.......23......456.....2.....4.78....69..1......386...2........7.59.....
........1.......23......456.....2.....4.78....95......28..67...3..95....7........
........1.......23......456.....2.....4.78...351.......2.7......6.43....7..1.....
........1.......23......456.....2.....4.78...691.......8.1.....2..7.....3..49....
........1.......23......456.....2.....417....35..8........23.....7..5...146......
........1.......23......456.....2.....5..1....34.7.......5.6...24.3.....7.89.....
........1.......23......456.....2.....5..3....46.78......6.1...2........8945.....
........1.......23......456.....2.....5..7....81.9.....9.3.....2..8.....6.351....
........1.......23......456.....2.....5.13....78.9........74...1..5.....362......
........1.......23......456.....2.....5.31...478.......3.8.....2..3.....9..57....
........1.......23......456.....2.....5.6.....43.7....1..5.....26.1.....4..8.9...
........1.......23......456.....2.....5.7.....84..3....3.81....27.6.....9..4.....
........1.......23......456.....2.....5.7.....84..3....3.86....27.1.....9..4.....
........1.......23......456.....2.....6.......74.89....2.1......3.65....78..4....
........1.......23......456.....2.....6.......74.89....8..4.....9.1.....32.65....
........1.......23......456.....2.....6.......74.89....8..4.....9.3.....12.65....
........1.......23......456.....2.....6..1...374.8.......7.4....8.9.....521......
........1.......23......456.....2.....6..1...374.8.......9.4....8.7.....521......
........1.......23......456.....2.....6..3....54.78......4.9...2756.....8........
........1.......23......456.....2.....6..3...145.........671...2...5....85..4....
........1.......23......456.....2.....6.17....84..9...2....3...3..6.....97.8.....
........1.......23......456.....2.....6.3.....47.8.......7.....26.9.1...8.14.....
........1.......23......456.....2.....6.3.....53..1...2...6....7..35....84.7.....
........1.......23......456.....2.....6.31...478..5......8.....32.......5..97....
........1.......23......456.....2.....6.47....58......23...1...4..38....9..5.....
........1.......23......456.....2.....6.5.....4163.......4.7...2....8...895......
........1.......23......456.....2.....6.51....476........4.3...2.1.6....85.......
........1.......23......456.....2.....6.53...478.........64.....2.1.....59.8.....
........1.......23......456.....2.....6.57...389.......2........3.91....84..6....
........1.......23......456.....2.....6781....53.........159...7.2......8..4.....
........1.......23......456.....2.....7..8....81.34...2..9.....53..6....9....7...
........1.......23......456.....2.....7.13....81......2........4..176...9.58.....
........1.......23......456.....2.....7.31...45...........47....215.....6.38.....
........1.......23......456.....2.....7.35...18..9.......16......3......2754.....
........1.......23......456.....2.....7.35...68..9.......61......3......2754.....
........1.......23......456.....2.....7.48....32......4.95.....5..36....8..1.....
........1.......23......456.....2.....7.48....53.6....1..45....2.9......6..3.....
........1.......23......456.....2.....7.48....62..1...4.95.....5..63....8........
........1.......23......456.....2.....7.48....65..7...1..3.....2...5....34..9....
........1.......23......456.....2.....7.5.....1467.......148...2....9...9.5......
........1.......23......456.....2.....7.53....18.........1.6...3..28....542......
........1.......23......456.....2.....7.53....18.........14....36..85...5.2......
........1.......23......456.....2.....7.53....18.........146...3...8....542......
........1.......23......456.....2.....7.53....18.........146...36..8....5.2......
........1.......23......456.....2.....7.53....18.........16....3...85...542......
........1.......23......456.....2.....7.53....18.........164...3...8....542......
........1.......23......456.....2.....7.53....18.........164...36..8....5.2......
........1.......23......456.....2.....7.53....18.9.......1.6...3........549.8....
........1.......23......456.....2.....7.53...481........471....2...6....9...8....
........1.......23......456.....2.....7.56...481..3......71....2........9.6.8....
........1.......23......456.....2.....7.58....81......2..4.....5..73....63.1.....
........1.......23......456.....2.....7.58....917........94....5........862..5...
........1.......23......456.....2.....7.58...169..4......79.....3..1....72.......
........1.......23......456.....2.....7.58...691..4......71....27.......3...9....
........1.......23......456.....2.....7.61...58..........5.9....26.3....3.1..7...
........1.......23......456.....2.....7.63....58.........5.9...31...7...6.2.1....
........1.......23......456.....2.....7.63...58..........5.9....26.1....1.3..7...
........1.......23......456.....2.....7.65...361..4......81.....3.......24.9.....
........1.......23......456.....2.....7.8.....14.73......541...2..9.....98.......
........1.......23......456.....2.....7.8.....16..3......615...2..9.....98.7.....
........1.......23......456.....2.....7.8.....41..3......416...2..9.....98.7.....
........1.......23......456.....2.....7.8.....41.73......541...2..9.....98.......
........1.......23......456.....2.....7.8.....41.73......561...2..9.....98.......
........1.......23......456.....2.....7.8.....51.73......641...2..9.....98.......
........1.......23......456.....2.....7.8.....61..3......615...2..9.....98.7.....
........1.......23......456.....2.....7.84....18......2..69....5.4......9..1.3...
........1.......23......456.....2.....7.84....32......4..1.....5..36....8.95.....
........1.......23......456.....2.....7.84....41..3......978...25.1.....3........
........1.......23......456.....2.....7.84....62..1...4........5..63....8.95.....
........1.......23......456.....2.....7.85....19......2.4......6..39....8..1.6...
........1.......23......456.....2.....7.85....917........94....562..8...8........
........1.......23......456.....2.....7.85....93.......4.976...5....4...8.2......
........1.......23......456.....2.....745.....183........6.8...3....1...5.9.7....
........1.......23......456.....2.....7489...13........2.63....4...7....9.1......
........1.......23......456.....2.....7894....61.......2..57....9..4....83.......
........1.......23......456.....2.....7894...13........2.36....4.1......8..7.....
........1.......23......456.....2.....7894...13........2.36....4.1......9..7.....
........1.......23......456.....2....17.8....68...5......816...2..9.....3...7....
........1.......23......456.....2....34.6....7.8.5........49...2....8...56.3.....
........1.......23......456.....2....35..1...78..4......1.9......4.7.....5.38....
........1.......23......456.....2....35.1....74..8.......3.4...8..6.....92.5.....
........1.......23......456.....3......126....57.4.....8.97....13.2.....6........
........1.......23......456.....3......145....78......1...2....2..75....463......
........1.......23......456.....3......156....27..4....8.94....14.2.....6........
........1.......23......456.....3......156....278......8.94....14.2.....6........
........1.......23......456.....3......156....78..9....278.....1...2....69.......
........1.......23......456.....3......162....57.......8..59...1.48.....6...2....
........1.......23......456.....3......164....78......1...2....2..74....653......
........1.......23......456.....3......164....78.9......98.2...1..3.....6.5......
........1.......23......456.....3......164....782.......98.2...1..3.....6.5......
........1.......23......456.....3.....1.2.....75.8.....2.7.....3.69.....9..5.4...
........1.......23......456.....3.....1.4.....78.2.....9.75....3..8.....64.9.....
........1.......23......456.....3.....1.52...476.........7.6....3.1.....58.9.....
........1.......23......456.....3.....1.52...476.........8.6....3.1.....59.7.....
........1.......23......456.....3.....1.52...478........418....3...6....9...7....
........1.......23......456.....3.....1.65....78......3..17....5....6...92.8.....
........1.......23......456.....3.....1.65....78......3.6......5..792...9...4....
........1.......23......456.....3.....1.65....78......32..7....4..6.....9..28....
........1.......23......456.....3.....1.7.....87.6....3..5.....5..8.2...916......
........1.......23......456.....3.....1.7.....87.6....32.5.....5..8.2...9.6......
........1.......23......456.....3.....124....576.........6......38......29.75....
........1.......23......456.....3.....2.1.....75..8....8.74....31.9.....6..5.....
........1.......23......456.....3.....2.16....782........74....153......6...8....
........1.......23......456.....3.....2.56....78..4......178...36.9.....5........
........1.......23......456.....3.....2.56....78..4......18....36.9.5...5........
........1.......23......456.....3.....2.56....78..4......187...36.9.....5........
........1.......23......456.....3.....2.61....782........74....153..8...6........
........1.......23......456.....3.....2.61....782........74....153.2....6........
........1.......23......456.....3.....2.61....784.....135......6........9..72....
........1.......23......456.....3.....2.61....784.....153......4..72....6........
........1.......23......456.....3.....2.61....785.....134......6........9..72....
........1.......23......456.....3.....2.7.....15..2...3..6.....4..1.....8.954....
........1.......23......456.....3.....3572...16.........5.......328.....8..91....
........1.......23......456.....3.....4.1....789.2.......4.6....7.8.....32...5...
........1.......23......456.....3.....4.65....78.4....25.1.....3..2.9...6........
........1.......23......456.....3.....4126....75.4.......87....1.32.....6........
........1.......23......456.....3.....4167....52.4........58...1.3......6...3....
........1.......23......456.....3.....457.....16.2.....2...6....3...1...78.9.....
........1.......23......456.....3.....457.....162......2...6....3...1...78..9....
........1.......23......456.....3.....4572....16.......8.69....23...4...5........
........1.......23......456.....3.....4572....16.......8.69....23...7...5........
........1.......23......456.....3.....4572....16..4....8.96....23.......5........
........1.......23......456.....3.....4572....61........891....23.8.....5........
........1.......23......456.....3.....4572....61.......8.19....23...4...5........
........1.......23......456.....3.....4572....61.......8.19....23...7...5........
........1.......23......456.....3.....5..2....46.7.......58....3...6....961.4....
........1.......23......456.....3.....5.1.....27..8......74....3..6.....9165.....
........1.......23......456.....3.....5.12....47......3...4....8..95....96..7....
........1.......23......456.....3.....5.21...478.......2.8.....3..2.....9..57....
........1.......23......456.....3.....5.62....47......3...4....8..95....91..7....
........1.......23......456.....3.....5.62....78......3.6.5....4...8....9..17....
........1.......23......456.....3.....5.62....78......36..5....4...7....9..18....
........1.......23......456.....3.....5.62....78.9.......7.4...213......6..5.....
........1.......23......456.....3.....5167....84.......7...9....9..52...13.......
........1.......23......456.....3.....5478....16.......8...9....9.5.2...73.......
........1.......23......456.....3.....5671....24.......7........8.49....13...8...
........1.......23......456.....3.....5671....84.......7........9.42....13...9...
........1.......23......456.....3.....5786...49..........45.....18......63...7...
........1.......23......456.....3.....6.1.....758.9......461...3...2....85.......
........1.......23......456.....3.....6.12....47......31..4....8...7....9..85....
........1.......23......456.....3.....6.12....47......35..4....8...7....9..85....
........1.......23......456.....3.....6.2.....57.8.......7.....3215.....8..94....
........1.......23......456.....3.....6.21...478..5......8.....23.......5..97....
........1.......23......456.....3.....6.71....84.9.......7.6...3........94.82....
........1.......23......456.....3.....7.12...45..........5.8....623.....3.1.9....
........1.......23......456.....3.....7.14...289.........95....3..1.....64..8....
........1.......23......456.....3.....7.15....827........84....163......5...7....
........1.......23......456.....3.....7.16....82.......5.28....14.9.....6...5....
........1.......23......456.....3.....7.16....827........84....153......6...7....
........1.......23......456.....3.....7.21...45...8......58.....619.....3.2......
........1.......23......456.....3.....7.46....89.5.......287...3..1.....46.......
........1.......23......456.....3.....7.52....46.7.......6.8...2.3..1...59.......
........1.......23......456.....3.....7.52...481........471....3...6....9...8....
........1.......23......456.....3.....7.61....284.....135......6........9..27....
........1.......23......456.....3.....7.61....284.....153......4..27....6........
........1.......23......456.....3.....7.61....285.....134......6........9..27....
........1.......23......456.....3.....7.61....82.......5.28....1...5....64.9.....
........1.......23......456.....3.....7.61....824......4.29....153......6........
........1.......23......456.....3.....7.61....824.....153......6........7..29....
........1.......23......456.....3.....7.61....825......5.29....143......6........
........1.......23......456.....3.....7.61....825.....143......6........7..29....
........1.......23......456.....3.....7.61....827........85....143..7...6........
........1.......23......456.....3.....7.61....827........85....143.2....6........
........1.......23......456.....3.....7.61....829........85....143..9...6........
........1.......23......456.....3.....7.61....829........85....143.2....6........
........1.......23......456.....3.....7.61....894......4.92....153......6........
........1.......23......456.....3.....7.61....894.....153......6........7..92....
........1.......23......456.....3.....7.61....895......5.92....143......6........
........1.......23......456.....3.....7.61....895.....143......6........7..92....
........1.......23......456.....3.....7.64....28..5......8.9...34.7.....6.1......
........1.......23......456.....3.....7.64....89.5.......287...3..1.....46.......
........1.......23......456.....3.....7.64....89.5.......29....36.1.....4....5...
........1.......23......456.....3.....7.84....19......2...9....3..7.....685.1....
........1.......23......456.....3.....7.84....19......2.4.9....3..7.....68..1....
........1.......23......456.....3.....7.84....91......2...9....3..7.....685.1....
........1.......23......456.....3.....714.....587........925...1..3.....46.......
........1.......23......456.....3.....716.....82.7.......48....153......6..7.....
........1.......23......456.....3.....7162....89.........89....31..5....4...1....
........1.......23......456.....3.....7162....89.........98....31..5....4...1....
........1.......23......456.....3.....7164....52........172.....4.......3..8.5...
........1.......23......456.....3.....7164....52........872.....4...5...3..9.....
........1.......23......456.....3.....718.....95.2.......97......1..4...386......
........1.......23......456.....3.....7485....16......52.......8..17....9...2....
........1.......23......456.....3.....7582....16......23.7.....4..69....5........
........1.......23......456.....3.....7582....61......23.7.....4..19....5........
........1.......23......456.....3.....7584....16.......3..7....52.......8..14....
........1.......23......456.....3....15......74..82.....6..5...87.1.....9.3......
........1.......23......456.....3....15......78..29......1.2.....68.....9.3.7....
........1.......23......456.....3....15......78..92......17......3..5...9.64.....
........1.......23......456.....3....15......78..92.....3........62.5...9..18....
........1.......23......456.....3....15......78..92.....3.4......6......9..178...
........1.......23......456.....3....15......78..92.....3.4......6......9..187...
........1.......23......456.....3....16......78..94......17......3.8.....629.....
........1.......23......456.....3....17.8....68...5......816...2...7....3..9.....
........1.......23......456.....3....26.1....74..8.......5.4...8..6.....93.2.....
........1.......23......456.....3....47..2...85..9.....9.45....1..7.....3..6.....
........1.......23......456.....3....47.52...8.6.......8.6.4...1...2....35.......
........1.......23......456.....4.......78....26.1....1..2.5...794......8..4.....
........1.......23......456.....4.....1.23....57.........78....3...1....6129.....
........1.......23......456.....4.....1.78...269..1.......9.....4.3.....75.2.....
........1.......23......456.....4.....1.78...593.......5.32....64.......8...9....
........1.......23......456.....4.....1357....89......5........6.321....7..8.....
........1.......23......456.....4.....1357....89......5..83....64.......7...1....
........1.......23......456.....4.....1357....89......5..83....64.......7..1.....
........1.......23......456.....4.....1375....89......5....1...6..8.3...74.......
........1.......23......456.....4.....1375....89......54.......6..8.3...7..1.....
........1.......23......456.....4.....1572....89.........48....532......6..9.....
........1.......23......456.....4.....1789....52.......6.23....54.......7..8.....
........1.......23......456.....4.....2.1.....37.2......13.....5....6...7.85.9...
........1.......23......456.....4.....2.17....83......47...1...5....9...6..82....
........1.......23......456.....4.....2.5.....13.7....58.9.....6..3.....9..8.6...
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blue
 
Posts: 975
Joined: 11 March 2013

Re: How many 1-clue-box and 2-clue-box?

Postby blue » Mon Sep 26, 2022 12:26 am

6plus14 part 2: (1050)
Hidden Text: Show
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........1.......23......456.....7.....1684....25.......1.23....4.7.9....8........
........1.......23......456.....7.....1684...25.........8.......74.3....3..21....
........1.......23......456.....7.....2.1.....85.9.......4.5...4.36.....71.8.....
........1.......23......456.....7.....2.14....83......5....9...6..82....74...1...
........1.......23......456.....7.....2.46....53......16.3.....4...2....7..85....
........1.......23......456.....7.....2.48....531........62....7.4.5....98.......
........1.......23......456.....7.....2.48....615........6.3...4...2....897......
........1.......23......456.....7.....2.61...389.......4.82.....7..3....51.......
........1.......23......456.....7.....2.8.....345......8.39....71.......9..4.8...
........1.......23......456.....7.....2.8.....346......8.39....71.......9..4.8...
........1.......23......456.....7.....2.81....13.........2.6...7.45.....98.3.....
........1.......23......456.....7.....2.84....35..9......39....71.......8.42.....
........1.......23......456.....7.....2.84....356........39....71.......8.42.....
........1.......23......456.....7.....2.84....93.1....18..4....6..3.....7..5.....
........1.......23......456.....7.....2.89....56.1......56.....7..39....81.......
........1.......23......456.....7.....2468....51.........5.2...4...3....897......
........1.......23......456.....7.....2468...15..........5.2.....4.3....798......
........1.......23......456.....7.....248.....91..3......69.....842.....7.5......
........1.......23......456.....7.....248....153.......1.5.3....7.9.....86.......
........1.......23......456.....7.....248....193.......1.5.3....7.9.....86.......
........1.......23......456.....7.....2489....56......1..25....79...3...8........
........1.......23......456.....7.....2589....63.......1.6.....37.......9..25....
........1.......23......456.....7.....3..1....84.92......3.6...5928.....7........
........1.......23......456.....7.....3..8....42.16...1..3.....6..9.....79..4....
........1.......23......456.....7.....3.1.....24.8.....1.2.....4..9.5...7.64.....
........1.......23......456.....7.....3.1.....24.8.....8.2.....4..9.....7.64.5...
........1.......23......456.....7.....3.1.....84.9.....9.2.....2..8.....7.64.5...
........1.......23......456.....7.....3.14....265.....54.2.....7...3....8...9....
........1.......23......456.....7.....3.18....25.........36....8..4.....9745.....
........1.......23......456.....7.....3.21....52.8.......6.3...7..9.....985......
........1.......23......456.....7.....3.24....81..6......86....2.73.....45.......
........1.......23......456.....7.....3.4.....5863.......5.2...7....9...914......
........1.......23......456.....7.....3.48....56.2....2..1.....4..6.....87...2...
........1.......23......456.....7.....3.48...562......4..51....7........98.4.....
........1.......23......456.....7.....3.51....28.6....1..8.....4..9.....562......
........1.......23......456.....7.....3.68....92......1..9.4...5...3....78...6...
........1.......23......456.....7.....3.81....65.4......65.....17.......9..2.8...
........1.......23......456.....7.....3.82....65.........431...1...6....79.2.....
........1.......23......456.....7.....3.84....213........25....467..3...8........
........1.......23......456.....7.....3.84....213........25....467.3....8........
........1.......23......456.....7.....3.89....26........531....1..5.....87.2.....
........1.......23......456.....7.....3.89....45.........34....1..6.....87.5.2...
........1.......23......456.....7.....3.89....45.........341...1..6.....87.5.....
........1.......23......456.....7.....3.89....65.2.......592...7..1.....84.......
........1.......23......456.....7.....3.89...25..........15......9.6....7482.....
........1.......23......456.....7.....3.89...26..........16......9.5....7482.....
........1.......23......456.....7.....3.89...56..1.......26......9......7485.....
........1.......23......456.....7.....3158...49..........42.....78.6....1.5......
........1.......23......456.....7.....3265....89.........84....2.63.....5...9....
........1.......23......456.....7.....3468....51.........5.3...4...2....897......
........1.......23......456.....7.....3468...15..........5.3.....4.2....798......
........1.......23......456.....7.....348....256.......7.6.....1..2.3...89.......
........1.......23......456.....7.....348....256.......9.6.....1..2.....87..9....
........1.......23......456.....7.....348....256.......9.6.....1..2.3...87.......
........1.......23......456.....7.....348....6951........6.3...28.......7..9.....
........1.......23......456.....7.....3684...25.........8.......74.9....1..23....
........1.......23......456.....7.....4..2....36.14......68....5.1......72.5.....
........1.......23......456.....7.....4..5....89.64......39....2.5......76.2.....
........1.......23......456.....7.....4.18....95.........5.2...6..3.....713.8....
........1.......23......456.....7.....4.2.....86..3......861...52.4.....7..5.....
........1.......23......456.....7.....4.28...691.......2.1.....3..49....7..2.....
........1.......23......456.....7.....4.8.....62..1......695...74.3.....8..2.....
........1.......23......456.....7.....428.....93.1.......89......24.....735......
........1.......23......456.....7.....4285....63.......1.4.....8..62....97.......
........1.......23......456.....7.....458.....92.3.......89......54.....726......
........1.......23......456.....7.....4582....63.......1.4.....2..65....97.......
........1.......23......456.....7.....4892....63.........67....8...5....912......
........1.......23......456.....7.....5..4....12.56......16....7.38.....84.......
........1.......23......456.....7.....5..4....13.56......16....7.89.....94.......
........1.......23......456.....7.....5.1.....84.9.......2.5...6.34.....71.6.....
........1.......23......456.....7.....5.1.....84.9.......2.5...6134.....7..6.....
........1.......23......456.....7.....5.18....13.........625...49.3.....7..9.....
........1.......23......456.....7.....5.18....48.2.......4.9...6..3.....713......
........1.......23......456.....7.....5.2.....13.68......18....4.95.....72.......
........1.......23......456.....7.....5.48...396.........62....71..8....9..4.....
........1.......23......456.....7.....5.48...396.........62....71.5.....9..4.....
........1.......23......456.....7.....5.8.....23.1.....8.2.....6..5.3...7.49.....
........1.......23......456.....7.....5.8.....32.1.....8.3.....6..5.2...7.49.....
........1.......23......456.....7.....5.8.....86.19.....35.....19.......7..2.8...
........1.......23......456.....7.....5.8.....9631.......5.2...48.6.....7....4...
........1.......23......456.....7.....5.81....13.........625...4..9.....79.3.....
........1.......23......456.....7.....5.82...693.......8.3.....1..59....7..8.....
........1.......23......456.....7.....5.84....19.6....34.......6..15....7..8.....
........1.......23......456.....7.....5.89....26.1......26.....7..3.8...91.......
........1.......23......456.....7.....5.89....26.1......26.....7..39....81.......
........1.......23......456.....7.....5.89....26.1......26.....71.......9..3.8...
........1.......23......456.....7.....5.89....62..4......61....7........8945.....
........1.......23......456.....7.....5.89....62.5.......61....7........8945.....
........1.......23......456.....7.....5.89...23...1......62.....47......9.84.....
........1.......23......456.....7.....5163....48.......9.54....27.......3..6.....
........1.......23......456.....7.....5248....63.......1..5....2..86....97.......
........1.......23......456.....7.....5482....63.......1.5.....2..64....97.......
........1.......23......456.....7.....5489....61.......3.65....27.......9..8.....
........1.......23......456.....7.....6.1.....24.8.....1.2.....4..9.5...7.34.....
........1.......23......456.....7.....6.1.....24.8.....8.2.....4..9.....7.34.5...
........1.......23......456.....7.....6.1.....85.9.......5.2....6.3.....7138.....
........1.......23......456.....7.....6.18....12.........536...4..9.....79.2.....
........1.......23......456.....7.....6.2....184..3......84....7..6.....92.5.....
........1.......23......456.....7.....6.4.....5863.......5.2...7....9...914......
........1.......23......456.....7.....6.81....12.........536...49.2.....7..9.....
........1.......23......456.....7.....6.81....35.4......35.....17.......9..2.8...
........1.......23......456.....7.....6.82....45.........641...1...3....79.2.....
........1.......23......456.....7.....6.89....15.2.......592...7..3.....84.......
........1.......23......456.....7.....6.89....45.........64....1..3.....87.5.2...
........1.......23......456.....7.....6.89....45.........641...1..3.....87.5.....
........1.......23......456.....7.....613.....289.........28...4....5...793......
........1.......23......456.....7.....613.....829.........28...4....5...793......
........1.......23......456.....7.....613.....852.........86....59..4...7.2......
........1.......23......456.....7.....648....125.........3.5....7...4...89.1.....
........1.......23......456.....7.....7152....89.........91....2...8....53..4....
........1.......23......456.....7.....7152....89.........91....2...8....56..4....
........1.......23......456.....7.....7184....29.......6.25....4.1......8...9....
........1.......23......456.....7.....7235....89.......4.81....2...9....56.......
........1.......23......456.....7.....7235....89.......6.48....2...7....5.3......
........1.......23......456.....7.....7342....89.......5.18....26.......4..9.....
........1.......23......456.....7.....7352....89.......4.18....26.......5..9.....
........1.......23......456.....7.....7352....89.......6.84....2.3......5..7.....
........1.......23......456.....7.....7385....92.......6.94....5.3......8..7.....
........1.......23......456.....7.....8..4....91.56......83....54.......7.92.....
........1.......23......456.....7.....8..5....43.18......39....2.1......75.2.....
........1.......23......456.....7.....8..5....43.81......93....26.......7.52.....
........1.......23......456.....7.....8..5....94.81......39....28.......7.52.....
........1.......23......456.....7.....8.1.....91.32...2....5...4..8.....73..9....
........1.......23......456.....7.....8.13....59.........5.2...6..3.....731.4....
........1.......23......456.....7.....8.25...364.......5.2.....1..68....73.......
........1.......23......456.....7.....8.3.....23.1....5..286...74.......9..5.....
........1.......23......456.....7.....8.61....594........5.2...137......6...8....
........1.......23......456.....7.....8.9.....15.2.....9.1.....3..5.6...7.43.....
........1.......23......456.....7.....8.9.....15.3.....3.2.....2..1.....7.45.6...
........1.......23......456.....7.....8.9.....25..1....1.23....4..5.....79.6.....
........1.......23......456.....7.....8.9.....25..1....1.26....4..5.....79.3.....
........1.......23......456.....7.....8.9.....25..3....3.21....4..5.....79.6.....
........1.......23......456.....7.....8.9.....25..3....3.26....4..5.....79.1.....
........1.......23......456.....7.....8.9.....25.1.....1.3.....3..2.....7.45.6...
........1.......23......456.....7.....8.9.....25.1....1..2.3...4..5.....79.6.....
........1.......23......456.....7.....8.9.....25.1....1..2.6...4..5.....79.3.....
........1.......23......456.....7.....8.9.....25.1....1..3.2...4..5.....79.6.....
........1.......23......456.....7.....8.9.....35.1.....1.2.....2..3.....7.45.6...
........1.......23......456.....7.....8.9.....52..1....1.53....4..2.....79.6.....
........1.......23......456.....7.....8.9.....52..1....1.56....4..2.....79.3.....
........1.......23......456.....7.....8.9.....52..1...1..53....4..2.....79.6.....
........1.......23......456.....7.....8.9.....52..1...1..56....4..2.....79.3.....
........1.......23......456.....7.....8.9.....91.32...2....5...4..8.....73..1....
........1.......23......456.....7.....825.....96..1......39....52..8....7.4......
........1.......23......456.....7.....8469....51.........5.2...4...3....987......
........1.......23......456.....7.....8469....51.........5.3...4...2....987......
........1.......23......456.....7.....8469...15..........5.2.....4.3....789......
........1.......23......456.....7.....8469...15..........5.3.....4.2....789......
........1.......23......456.....7.....8592....61.......3.1.....17.......9..28....
........1.......23......456.....7....13.8....5.6..1......39....7..5.....98.2.....
........1.......23......456.....7....1358....9.6..4......62....49.......7...3....
........1.......23......456....12.....27.8...46..........56......8.3....217......
........1.......23......456....12.....278....45..........1.4.....7..3...628......
........1.......23......456....12.....4..3....78.........72....1..6.....536..4...
........1.......23......456....12.....47......56..3......481...2...5....79.......
........1.......23......456....12.....47......56..3......481...2...5....97.......
........1.......23......456....12.....5..3....634........75....2..6.....89..4....
........1.......23......456....12.....5.3.....74..8......7.9...15.......6.32.....
........1.......23......456....12.....6..5...783.......1.3.....57.......8..14....
........1.......23......456....12.....67.....348.........846....29......7...5....
........1.......23......456....12.....7..3....84.........82....1..6.....536.7....
........1.......23......456....12.....7..3....89.........82....1..6.....536..4...
........1.......23......456....12.....7..3....89.........82....134..6...6..5.....
........1.......23......456....12.....7..3....89..6......82....1.67.....53.......
........1.......23......456....12.....7..6....18......2..89....536......9..4.....
........1.......23......456....12.....7.8.....95.........5.6...2.47.....38.4.....
........1.......23......456....12.....7.8.....95.........7.6...2.45.....38.4.....
........1.......23......456....12.....73.6....58......16.......3..7.....5..98....
........1.......23......456....12.....78......65..3......741...2...5....89.......
........1.......23......456....12.....78......65..3......741...2...5....98.......
........1.......23......456....12.....78.9....45.........43....29...8...8.1......
........1.......23......456....12.....78.9....46.........43....29...8...8.1......
........1.......23......456....12....37......8.4.5.......2.7...5..6.....91...3...
........1.......23......456....12....45......7.8.9.......5.6...41.3.....8.9......
........1.......23......456....12....47......89...3......19....4..7.....6.25.....
........1.......23......456....12....47..6...8.9.........19.....2.3.....7.5.8....
........1.......23......456....12....47.3....8.9.........4.7....5.9.....23..5....
........1.......23......456....12....47.8....56..........39....3..5.6...4.2......
........1.......23......456....13.....12.6....78.........74....253......6...8....
........1.......23......456....13.....165.....72......45.......6....2...8..3.9...
........1.......23......456....13.....3.2.....57..8......7.2...16.4.....9...5....
........1.......23......456....13.....356.....72......4..7.1...5....2...68.......
........1.......23......456....13.....365.....72......4..7.1...58.......6....2...
........1.......23......456....13.....376.....84.......7...5...19.......2..4.9...
........1.......23......456....13.....46.7....57.........84....29..6....3..5.....
........1.......23......456....13.....5.7.....84........95.2...2..9.....37.8.....
........1.......23......456....13.....6..2...572.......3.5......8.4.....4..96....
........1.......23......456....13.....6.2.....524........7.6...1..5.....83...4...
........1.......23......456....13.....7..2...894.........17.....4.8.....36..2....
........1.......23......456....13.....7..2...894.........17.....4.8.....36.5.....
........1.......23......456....13.....7..5....18......3..49....625......9..8.....
........1.......23......456....13.....7..6....89..2......82....1.67.....53.......
........1.......23......456....13.....7.2.....56.........7.4...1635.....8....6...
........1.......23......456....13.....7.2.....83..9......6.7...26.......5..84....
........1.......23......456....13.....7.2....486.........4.5....317.....29.......
........1.......23......456....13.....7.4.....82........59.2...19.3.....4....8...
........1.......23......456....13.....7.6.....89.2.......8.2...3.67.....51.......
........1.......23......456....13.....7.8.....94........57.2...2..5.....38.9.....
........1.......23......456....13.....76......48..5......89....36..2....9..1.....
........1.......23......456....13.....76.8....48.........75....29..6....3..4.....
........1.......23......456....13.....76.8....48.........76....29..5....3..4.....
........1.......23......456....13.....76.8....58.........74....29..6....3..5.....
........1.......23......456....13....16..2...5.2.......3.5......7.4.....4..86....
........1.......23......456....13....67......8.97........94.....4..76...32.......
........1.......23......456....14.....2.3....78...9......27....159......4..6.....
........1.......23......456....14.....3.7....289.........2.3....9.16....54.......
........1.......23......456....14.....7..8...36.5........37.....84.9....91.......
........1.......23......456....14.....7.5.....32..6......7.8...4..9.....95..6....
........1.......23......456....15.....2.6.....73..4......2.8...1..95....96.......
........1.......23......456....15.....2.6....78..4.......3.9....512.....86.......
........1.......23......456....15.....2.7....364.........6.1...783......9..2.....
........1.......23......456....15.....26.3....78.......9..84...1..7.....3.6......
........1.......23......456....15.....26.3....78.......9.48....1...6....32.......
........1.......23......456....15.....3..6...278.......4.93.....67......1..2.....
........1.......23......456....15.....3..6...278.......4.93.....67......5..2.....
........1.......23......456....15.....4.3.....76......1....6...2..7.....85.2.4...
........1.......23......456....15.....7..6....89......1..87....2..3.....63...2...
........1.......23......456....15.....7..6....89..3......85....1.37.....26.......
........1.......23......456....15.....76.3....28.........48....1..7.....63...1...
........1.......23......456....15.....76.3....28.........48....13...6...6..7.....
........1.......23......456....15....47......6.8.........789....523.....3..4.....
........1.......23......456....15....47..3...8.9.........18.....5.6.....7.2.9....
........1.......23......456....15....476.....6.8.........789....52......3..4.....
........1.......23......456....15....67..2...8.9.........2.4....4.97....53.......
........1.......23......456....16.....1.4.....27.........82....3.87.9...65.......
........1.......23......456....16.....1.4.....78.5....2..8.....5..9.4...63.......
........1.......23......456....16.....23......572......3...8...6...79...9....1...
........1.......23......456....16.....3..5...278.......4.93.....57......1..2.....
........1.......23......456....16.....3..5...278.......4.93.....57......6..2.....
........1.......23......456....16.....3..7....42.8......62.....17.......9..5.8...
........1.......23......456....16.....3..7...475..8......52.....2.9.....18.......
........1.......23......456....16.....3.5....275.........835....5.2.....46.......
........1.......23......456....16.....3.5....275.........835...3..2.....46.......
........1.......23......456....16.....7..3....82......1...2....4..8.5...93.4.....
........1.......23......456....16.....7..3....82......1...7....4..8.5...93.4.....
........1.......23......456....16.....7..3....89..5......85....1.37.....26.......
........1.......23......456....16.....7.8.....46..3......49....1..7.....583......
........1.......23......456....17......4.8....56......397......4..8.....8..25....
........1.......23......456....17.....2.4.....67.3.....1.2.....5..8.9...63.......
........1.......23......456....17.....2.8.....96........54.....38.9.....7..2.3...
........1.......23......456....17.....24......38..6......291...54.......7...8....
........1.......23......456....17.....24.8....93.........53....486......7..2.....
........1.......23......456....17.....24.8....93.........63....485......7..2.....
........1.......23......456....17.....25......38..6......291...54.......7...8....
........1.......23......456....17.....25.8....93.........63....584......7..2.....
........1.......23......456....17.....26.3....54.........43....1...6....278......
........1.......23......456....17.....3..5....289........793...1..2.....65.......
........1.......23......456....17.....3..5....829........793...1..2.....65.......
........1.......23......456....17.....3..8....26........53.....78..94...9..2.....
........1.......23......456....17.....3.8.....45..9......32....1.46.....59.......
........1.......23......456....17.....3.8.....75..4......97....18.......3.65.....
........1.......23......456....17.....4..3...58..2.......87......61.....431......
........1.......23......456....17.....5..8....28..4......23....1.9......84.9.....
........1.......23......456....17.....5.3.....37.8....1..2.6...4..5.....98.......
........1.......23......456....17.....5.3.....37.8....1..2.6...48.......9..5.....
........1.......23......456....17.....53......82.9.....7...3...4..5.....81.6.....
........1.......23......456....17.....53......89..4....7..9....41.6.....8..5.....
........1.......23......456....17.....536.....89.......7.6.....4..5.8...81.......
........1.......23......456....17.....56......82.9.....7...6...4..5.....81.3.....
........1.......23......456....17.....6.2.....524........8.6...1..5.....93...4...
........1.......23......456....17.....6.5....342.........5.2....6.3.....184......
........1.......23......456....17.....8..4...253.........548....6.7.....19.......
........1.......23......456....17.....8..4...352.........548....6.7.....19.......
........1.......23......456....17.....8..9....495........86....23..5....7..4.....
........1.......23......456....17.....8..9....496........86....23..5....7..4.....
........1.......23......456....17.....82......65..3......841...29.......7...5....
........1.......23......456....17.....83.6....24.......9.58....1..4.....37.......
........1.......23......456....17.....85.9....49.........86....32..5....7..4.....
........1.......23......456....17.....89......65..3......841...29.......7...5....
........1.......23......456....23.....51.6....78..........89...1..7.....32...5...
........1.......23......456....23.....7.5....468.........841...37.......5..9.....
........1.......23......456....23.....78......19..6...2..49....6..7.....83.......
........1.......23......456....23....34......78..9.......6.8...1.65.....2..4.....
........1.......23......456....23....46......78..4.......89.....13..5...5..7.....
........1.......23......456....23....47.6....5.8.........8.9...29...1...4..7.....
........1.......23......456....23....47.8....8.6.........5.6....1.7.....72.4.....
........1.......23......456....24.....15.....673.........681...29.......3....7...
........1.......23......456....24.....3..7...58...1......38....29.......7.49.....
........1.......23......456....24.....3..7...68...1......38....29.......7.49.....
........1.......23......456....24.....31......72.6....4..8.....5..3.9...96.......
........1.......23......456....24....16..3...3.7..8......97....2..1.....58.......
........1.......23......456....24....16..3...3.7..8......97....28.......5..1.....
........1.......23......456....24....67......8.9.5.......84....35.......6..7.9...
........1.......23......456....25.....1..7...386.........26.....1.3.....59..4....
........1.......23......456....25.....1..7...389........72......2..8....9..34....
........1.......23......456....25.....1.3....786.........7.6....2.1.....49.5.....
........1.......23......456....25.....1.6....376.........8.7.....9..4...12.3.....
........1.......23......456....25.....14.....673.........681...29.......3....7...
........1.......23......456....25.....16.....374.........417....28......6....9...
........1.......23......456....25.....27.1....83......49..8....5....4...7..2.....
........1.......23......456....25.....276.....83.......4.1.7...5..3.....96.......
........1.......23......456....25.....3..7...48...1......38....29.......7.59.....
........1.......23......456....25.....3..7...68...1......38....29.......7.59.....
........1.......23......456....25.....4..6...789........62......2.8.....9..17....
........1.......23......456....25.....4.7....673........58.4....8.3.....29.......
........1.......23......456....25.....4.7....683........51.4....1.3.....29.......
........1.......23......456....25.....6..3....71..8......97....2..1.....613......
........1.......23......456....25.....6..3...137..8......97.....2.1.....84.......
........1.......23......456....25.....6..3...137..8......97.....4.1.....82.......
........1.......23......456....25.....6..3...147.........634...3..1.....82.......
........1.......23......456....25.....6..7...143.........5.6...3..1.....82..7....
........1.......23......456....25.....6..7...341.........5.6...1..3.....82..7....
........1.......23......456....25.....67.....143..........64...7....1...82.9.....
........1.......23......456....25.....7..1...483.......5.2.....1..8.....6..73....
........1.......23......456....25.....7..3...168.........64.....527.....3.9......
........1.......23......456....25.....7..3...681.........64.....39......5.27.....
........1.......23......456....25.....7..6...483.......5.2.....1..73....6..8.....
........1.......23......456....25.....7..6...483.......5.2.....6..8.....9..73....
........1.......23......456....25.....7..8...149.......3.71.....8.2.....5...9....
........1.......23......456....25.....7..8...149.......6.71.....8.2.....5...9....
........1.......23......456....25.....7..8...349.......1.73.....8.2.....5...9....
........1.......23......456....25.....7..8...349.......6.73.....8.2.....5...9....
........1.......23......456....25.....7..8...491.......5..1....3..79....8..2.....
........1.......23......456....25.....7..8...491.......5..1....6..79....8..2.....
........1.......23......456....25....12.7....6.8.4.......3.8...4..1.....97.......
........1.......23......456....25....12.7....6.8.9.......3.8...47.......9..1.....
........1.......23......456....25....16..7...3.81........26.....4.3.....59.......
........1.......23......456....25....17..8...5.6..3......97....2..1.....48.......
........1.......23......456....25....17..8...5.6..3......97....28.......4..1.....
........1.......23......456....25....23.7....68..4.......3.8...4..1.....9.7......
........1.......23......456....25....23.7....68..9.......3.8...4.7......9..1.....
........1.......23......456....25....57......8.91........874....2.9.....36.......
........1.......23......456....26.....7..3....45.......3.4.....2.87.....9..85....
........1.......23......456....26.....7..3....45.......6.4.....2.87.....9..85....
........1.......23......456....26.....7..5...483.......6.2.....1..73....5..8.....
........1.......23......456....26.....7..5...483.......6.2.....5..8.....9..73....
........1.......23......456....26.....71.3....48.......5.89....1...3....67.......
........1.......23......456....26.....71.3....58.......4.89....1...3....67.......
........1.......23......456....26....137.....4.8.........385....2..4....9.7......
........1.......23......456....27.....1..5...368.........28.....4.3.....79.4.....
........1.......23......456....27.....1..5...368.........28.....9.3.....74.9.....
........1.......23......456....27.....1..8....36......2..3.....4..1.....87..92...
........1.......23......456....27.....3..4...58...1......38....29.......4.79.....
........1.......23......456....27.....3..4...68...1......38....29.......4.79.....
........1.......23......456....27.....3..5...168.........28.....4.1.....79.4.....
........1.......23......456....27.....3..5...168.........28.....9.1.....74.9.....
........1.......23......456....27.....4.3.....89.........8.2...6..5.....731.6....
........1.......23......456....27.....6..5...134.......7.3.....6..84....9.5......
........1.......23......456....27.....689.....45.........461...1..3.....97.......
........1.......23......456....27....16..8...35.........83......3.61....7.4......
........1.......23......456....27....16..8...35.........86......6.31....7.4......
........1.......23......456....34.....1.7.....75..2......8.7...312......6..5.....
........1.......23......456....35.....7..6....89......2..1.....3..87....61...2...
........1.......23......456....37.....1.6.....892.....2..7.5...3..9.....46.......
........1.......23......456....46.....7.3.....82.5.......7.9...34.1.....6.9......
........1.......23......456....46....27.5....5.8.2.......7.5.....93.....47.......
........1.......23......456....47.....3.1.....68.2....2..9.....4....8...65.3.....
........1.......23......456....47.....6.1....358.........651...1..3.....97.......
........1......23.......456............167...245........1..5...3..28....9.6.3....
........1......23.......456............167...245........15.....3...82...9.6.3....
........1......23.......456............167...245........7..5...3..28....9.6.3....
........1......23.......456............167...245........75.....3...82...9.6.3....
........1......23.......456............167...245.......1...4...3..28....96..3....
........1......23.......456............167...245.......1.4.....3...82...96..3....
........1......23.......456............167...245.......7...4...3..28....96..3....
........1......23.......456............167...245.......7.4.....3...82...96..3....
........1......23.......456.....1.......76....28..5.....238....6........7912.....
........1......23.......456.....1.......76....28..5...4..38....6........7912.....
........1......23.......456.....1......476....28.......3.52....4........6.19.4...
........1......23.......456.....1......476....28.......9.32....4........6.15.4...
........1......23.......456.....1......476....28......5..924...6..3.....7.1......
........1......23.......456.....1......674....28.......3.52....4.19.6...6........
........1......23.......456.....1......674....28.......9.32....4.15.6...6........
........1......23.......456.....1.....1.67...284.........25.....16.9....7.8......
........1......23.......456.....1.....1.67...285.........24.....16.9....7.8......
........1......23.......456.....1.....1.78...49...2......9.....2..3.5...618......
........1......23.......456.....1.....1.78...49..3.......9.....2..3.5...618......
........1......23.......456.....1.....2.35...478.........76......3......815..2...
........1......23.......456.....1.....2.46....37......1.4......5...8....89.3.5...
........1......23.......456.....1.....2.46....37......1.4......5..38....8...95...
........1......23.......456.....1.....2.47....83......16.......5..9.....9..385...
........1......23.......456.....1.....2.53...478.........76......5......813..2...
........1......23.......456.....1.....2.53...4782........76......5......813......
........1......23.......456.....1.....2.53...4789........76......5......813......
........1......23.......456.....1.....2.54....63......14.7.8...5...3....8..6.....
........1......23.......456.....1.....2.64....37......1...3....5..28....89..7....
........1......23.......456.....1.....2.64....37......1...3....5..82....89..7....
........1......23.......456.....1.....2.64....37......1.6......5..38....8...95...
........1......23.......456.....1.....2.64....37.5....1..8.....5..92....94.......
........1......23.......456.....1.....2.64....78..5......32....14.8.....6.9......
........1......23.......456.....1.....2.67....83......14.......5..9.....9..385...
........1......23.......456.....1.....2.67....83......14.......5..98....9..3.5...
........1......23.......456.....1.....2.67...389.......1..8.....5.32....47.......
........1......23.......456.....1.....2.67...485.........4.3....7..5....196......
........1......23.......456.....1.....2.67...893.........34.....16.2....75.......
........1......23.......456.....1.....2.7.....85.9.......4.5...17.8.....4.36.....
........1......23.......456.....1.....2.74....83......1........57..3....9..285...
........1......23.......456.....1.....2.74....83......17.......5...9....9..385...
........1......23.......456.....1.....2.76....38......4........61.3.4...7..92....
........1......23.......456.....1.....2.76....83.......3.82....16...7...7....4...
........1......23.......456.....1.....2.76....83......16...7...5..82....7....4...
........1......23.......456.....1.....2.76....83......19.8.5...4........7..92....
........1......23.......456.....1.....2.76....83......4........61.9.4...7..82....
........1......23.......456.....1.....2.76....83......5........61.9.4...7..38....
........1......23.......456.....1.....247.....83......17.......5....9...9..583...
........1......23.......456.....1.....2674....38.........345...6.19.....7........
........1......23.......456.....1.....2674....83......14.......5...3....6...97...
........1......23.......456.....1.....2675....38.........354...6.19.....7........
........1......23.......456.....1.....2678....94.........985...6........7.1.2....
........1......23.......456.....1.....2678....95.........984...6........7.1.2....
........1......23.......456.....1.....4.26...357.........3.8....6...5...192......
........1......23.......456.....1.....4.3.....27.5.....8...7...1..9.8...59...2...
........1......23.......456.....1.....4.6.....37.54....5.......16.8.....8..2.6...
........1......23.......456.....1.....4.6.....72..5....5.78....16.3.....9..2.....
........1......23.......456.....1.....4.6.....72..5....5.83....16.7.....9..2.....
........1......23.......456.....1.....4.65...237.........38....16..7....9.5......
........1......23.......456.....1.....4.65...372.........38.....95......61..7....
........1......23.......456.....1.....4.7.....85.9.......3.4...1.26.....67.5.....
........1......23.......456.....1.....4.78....23.........2.....1764.....5..93....
........1......23.......456.....1.....4.78....32.........3.....1764.....5..92....
........1......23.......456.....1.....4.78....83.9.......32.....765.....14.......
........1......23.......456.....1.....4.78...693.......7.3.....1..7.....5..49....
........1......23.......456.....1.....437....68.9........1.8.....3..6...475......
........1......23.......456.....1.....4678...59..........297.....85.....1.6......
........1......23.......456.....1.....4783....52..........59...716......8...3....
........1......23.......456.....1.....4783....52.........159...7.6......8...3....
........1......23.......456.....1.....6.27....83..4....1.3.....4..98....75.......
........1......23.......456.....1.....6782....43..........49...715......8...2....
........1......23.......456.....1.....7..4....38.5.....8.73....1...8....9.4.2....
........1......23.......456.....1.....7..4....63.87......93....1482.....2........
........1......23.......456.....1.....7..4....83.5.....3.78....1...3....9.4.2....
........1......23.......456.....1.....7..6....28.5.....8.72....1...8....9.6.3....
........1......23.......456.....1.....7..6....28.5.....8.72....1.4.3....9...8....
........1......23.......456.....1.....7..6....82.5.....2.78....1...2....9.6.3....
........1......23.......456.....1.....7..6....82.5.....2.78....1.4.3....9...2....
........1......23.......456.....1.....7.42...3895........86......4......912......
........1......23.......456.....1.....7.42...3897........86......4......912......
........1......23.......456.....1.....7.68....23..4......729...6.13.....8........
........1......23.......456.....1.....7.68...492.........25....61..7....9.8......
........1......23.......456.....1.....7.68...493.........35....61..7....9.8......
........1......23.......456.....1.....7.8.....43.7.......9.4...1..6.....6825.....
........1......23.......456.....1.....7.86....23..4......72....6........8913.....
........1......23.......456.....1.....7.86....23..4......729...6........8.13.....
........1......23.......456.....1.....7.86...23...4......72......6......1983.....
........1......23.......456.....1.....7264....85.........38....291......4..5.....
........1......23.......456.....1.....7485....36.........1.3...5..6.....892......
........1......23.......456.....1....17.64...2.35........28.....6.......941......
........1......23.......456.....1....27..8...6.5.......3.49....1...62...9...5....
........1......23.......456.....2......374....58.......9.715...3.2......4...8....
........1......23.......456.....2......473....58.......9.51....3...84...4.2......
........1......23.......456.....2......473....58.......9.517...3...8....4.2......
........1......23.......456.....2.....1..3...478.......8.176...53.......9...8....
........1......23.......456.....2.....1..3...478......2..176...53.......9...8....
........1......23.......456.....2.....1..4...678.5....29.......3..17....5...8....
........1......23.......456.....2.....1.34....78......3...4....4..8.....5679.....
........1......23.......456.....2.....1.34....78......3...4....4.28.....56.9.....
........1......23.......456.....2.....1.35....67........67......4.81....23..9....
........1......23.......456.....2.....1.46....65......2..7.....4..13....83.5.....
........1......23.......456.....2.....1.46....65..7...2........4..13....83.5.....
........1......23.......456.....2.....1.46....65..7...2........4..31....83.5.....
........1......23.......456.....2.....1.46...357.........58....624.9....7........
........1......23.......456.....2.....1.46...378.........75....624.9....8........
........1......23.......456.....2.....1.46...578.........73....624.1....8........
........1......23.......456.....2.....1.46...783.........75......8......264.1....
........1......23.......456.....2.....1.46...783.........75......8......264.9....
........1......23.......456.....2.....1.63....78......2..174...53.......9...8....
........1......23.......456.....2.....1.7.....89.1....23...4...4...6....7..89....
........1......23.......456.....2.....1.74....83......42.9.6...5........7..38....
........1......23.......456.....2.....1.76....87......2..8.....3..19....59.4.....
........1......23.......456.....2.....1.76....87......2..8.....39.4.....5..19....
........1......23.......456.....2.....1.76....87..1...2..8.....3...9....59.4.....
........1......23.......456.....2.....1.76....87..1...2..8.....39.4.....5...9....
........1......23.......456.....2.....1365....74.......8..1....32.......5...86...
........1......23.......456.....2.....1478...69..........657.....4.......28..1...
........1......23.......456.....2.....2147....38......4..9.....7........91.35....
........1......23.......456.....2.....2147....38......4..9.....7........91.36....
........1......23.......456.....2.....2164...57..........37......6......2819.....
........1......23.......456.....2.....2457....38......4..9.....7........91.36....
........1......23.......456.....2.....2467....38......19.35....4..1.....7........
........1......23.......456.....2.....2467....38......4..9.....7........91.35....
........1......23.......456.....2.....2478....39......17.63....4...1....8........
........1......23.......456.....2.....2478....63.........169...4.75.....8........
........1......23.......456.....2.....2478....63.........961...4.75.....8........
........1......23.......456.....2.....3.57....56..4...14.6.....2........8..31....
........1......23.......456.....2.....3.57....56..4...2........8..39....94.6.....
........1......23.......456.....2.....3.57....65..4...14.6.....2........8..31....
........1......23.......456.....2.....3.57....65..4...2........8..39....94.6.....
........1......23.......456.....2.....3.74....81......29.8.6...5........7..93....
........1......23.......456.....2.....3.74....89......21.8.6...5........7..13....
........1......23.......456.....2.....3.75....61..3...25.8.....4...9....9..1.....
........1......23.......456.....2.....3.75....68..3...1..8.....25.9.....4...1....
........1......23.......456.....2.....3784...59..........175.....49......28......
........1......23.......456.....2.....3784...69..........597.....8......2.4..3...
........1......23.......456.....2.....4.......35671......45....2...6....8.93.....
........1......23.......456.....2.....4.......35678......45....2...6....9.13.....
........1......23.......456.....2.....4.35...167.........18.....7.......235..4...
........1......23.......456.....2.....4.35...678.........71....325..4...8........
........1......23.......456.....2.....4.37...689..5......9.....32.......5..18....
........1......23.......456.....2.....4.7.....51..3......138...2..6.....74.5.....
........1......23.......456.....2.....5..7...163......2...3....8..56....94..8....
........1......23.......456.....2.....5..7...683.......1.56.....2..3....49..1....
........1......23.......456.....2.....5.37....36..5...1..4.....24.......8..61....
........1......23.......456.....2.....5.37....36..5...24.......8..4.....9..68....
........1......23.......456.....2.....5.37....38..4...2........64.8.....9..56....
........1......23.......456.....2.....5.37....83..4...2........64.8.....9..56....
........1......23.......456.....2.....5.37...689..4......9.....32.......4..18....
........1......23.......456.....2.....5.74...168.........1.3....4...6...297......
........1......23.......456.....2.....547.....13.8.....8.93....2........97.6.....
........1......23.......456.....2.....547.....83.9.....9.13....17.6.....2........
........1......23.......456.....2.....6.7....189.3.......61....425......7..9.....
........1......23.......456.....2.....6.74...581.........8.3...4....5...927......
........1......23.......456.....2.....6473....58.........517...3.2..9...4........
........1......23.......456.....2.....7..4...168.5.....3.71.....5..8....92.......
........1......23.......456.....2.....7.16....81......2..8.....3..79....59.4.....
........1......23.......456.....2.....7.16....81......2..8.....39.4.....5..79....
........1......23.......456.....2.....7.16....81..7...2..8.....3...9....59.4.....
........1......23.......456.....2.....7.16....81..7...2..8.....39.4.....5...9....
........1......23.......456.....2.....7.34....18......3...4....4..8.....5619.....
........1......23.......456.....2.....7.34....18......3...4....4.28.....56.9.....
........1......23.......456.....2.....7.35....61........61......4.87....23..9....
........1......23.......456.....2.....7.35...168.........19.....8.......253..4...
........1......23.......456.....2.....7.35...689.........81....523..4...9........
........1......23.......456.....2.....7.43...581.........59.....4..2....238......
........1......23.......456.....2.....7.43...581.........59.....4.3.....238......
........1......23.......456.....2.....7.43...681........671....2...5....9...8....
........1......23.......456.....2.....7.43...689........679....1...8....2...5....
........1......23.......456.....2.....7.46....65......2..8.....4..73....93.5.....
........1......23.......456.....2.....7.46...183.........19......4......268..3...
........1......23.......456.....2.....7.46...183.........19......4......268.7....
........1......23.......456.....2.....7.46...358.........59....624.1....8........
........1......23.......456.....2.....7.46...389.........85....624.1....9........
........1......23.......456.....2.....7.46...589.........83....624.7....9........
........1......23.......456.....2.....7.46...893.........81......4......269..3...
........1......23.......456.....2.....7.46...893.........81......4......269.7....
........1......23.......456.....2.....7.46...893.........85......9......264.1....
........1......23.......456.....2.....7.46...893.........85......9......264.7....
........1......23.......456.....2.....7.48...391......5..76....6..3.....84.......
........1......23.......456.....2.....7.53...481.........4.9....3..2....258......
........1......23.......456.....2.....7.53...481.........49.....5..2....238......
........1......23.......456.....2.....7.53...481.........49.....5.3.....238......
........1......23.......456.....2.....7.53...681........671....2...4....9...8....
........1......23.......456.....2.....7.53...689........679....1...8....2...4....
........1......23.......456.....2.....7.61...385.........39......8......261.4....
........1......23.......456.....2.....7.61...895.........83......9......261.4....
........1......23.......456.....2.....7.68....39.4.......357...6...9....8.1......
........1......23.......456.....2.....7.8.....91.7....23...4...4...6....8..91....
........1......23.......456.....2.....7164....85.........38....1927.....6........
........1......23.......456.....2.....7365....84.......9..7....32.......5...96...
........1......23.......456.....2.....7481...69..........658.....4.......21..7...
........1......23.......456.....4.......27...368.......17.8.....4.2......5.31....
........1......23.......456.....4.......27...368.......4.2......5.39.....97.8....
........1......23.......456.....4.......72...368.......17.8.....4.7......5.31....
........1......23.......456.....4.......72...368.......4.7......5.39.....97.8....
........1......23.......456.....4......782....69........1397...24...1...8........
........1......23.......456.....4......782....69........1597...24...3...8........
........1......23.......456.....4......782....69........3597...24...3...8........
........1......23.......456.....4......782....69........5397...24...1...8........
........1......23.......456.....4.....1.7.....78.6....4..812...5.3......9...4....
........1......23.......456.....4.....1.7.....89.1....2....6...45...2...6..83....
........1......23.......456.....4.....1.7.....89.1....3....6...45...3...6..82....
........1......23.......456.....4.....1.72....83......24.9.6...5........7..38....
........1......23.......456.....4.....1.76....63.1.....7.......45.8.2...6..5.....
........1......23.......456.....4.....1257....38.........861...2..9.....5.4......
........1......23.......456.....4.....1267....38..........35...2..8.....467......
........1......23.......456.....4.....1267....38.........3.5...2...8....467......
........1......23.......456.....4.....1267....83..........85...2..3.....467......
........1......23.......456.....4.....1267....83.........8.5...2...3....467......
........1......23.......456.....4.....127....689.........56.....27.9....4.8......
........1......23.......456.....4.....1672....38..........53...2...8....467......
........1......23.......456.....4.....1672....83..........58...2...3....467......
........1......23.......456.....4.....1782....53..........56.....8......7429.....
........1......23.......456.....4.....1782....63..........65.....8......7429.....
........1......23.......456.....4.....2.53...671.........68......7......453..2...
........1......23.......456.....4.....257.....731.....4...3....6...89...95.......
........1......23.......456.....4.....257.....731.....4...3....65.......8...96...
........1......23.......456.....4.....257.....738.....1...96...4...3....65.......
........1......23.......456.....4.....257.....738.....15.......4...3....6...91...
........1......23.......456.....4.....257.....781.....4...8....6...39...95.......
........1......23.......456.....4.....257.....781.....4...8....65.......9...36...
........1......23.......456.....4.....257.....789.....1...36...4...8....65.......
........1......23.......456.....4.....257.....789.....15.......4...8....6...31...
........1......23.......456.....4.....3.12...789.........76.....1.2.....458......
........1......23.......456.....4.....3.17....82......1..28....6........74.9.6...
........1......23.......456.....4.....3.27...158.........5.6.....7..1...249......
........1......23.......456.....4.....3.27...168.........6.5.....7..1...249......
........1......23.......456.....4.....3.27...581.........5.6.....7..1...429......
........1......23.......456.....4.....3.27...581.........56......7.1....429......
........1......23.......456.....4.....3.27...581.........56......8......247..3...
........1......23.......456.....4.....3.27...581.........56......8......247..9...
........1......23.......456.....4.....3.27...581.........56......8......247.3....
........1......23.......456.....4.....3.27...681.........6.5.....7..1...429......
........1......23.......456.....4.....3.27...681.........65......7.1....429......
........1......23.......456.....4.....3.27...681.........65......8......247..3...
........1......23.......456.....4.....3.27...681.........65......8......247..9...
........1......23.......456.....4.....3.27...681.........65......8......247.3....
........1......23.......456.....4.....3.71....82......14.9.6...6........7..28....
........1......23.......456.....4.....3.72....81......49.8.6...5........7..93....
........1......23.......456.....4.....3.72....89......41.8.6...5........7..13....
........1......23.......456.....4.....3.72...189.........14.....7..6....652......
........1......23.......456.....4.....312....578.........56.....218.....4.7......
........1......23.......456.....4.....327....581..........56.....7.8....429......
........1......23.......456.....4.....357.....721.....4...2....6...89...95.......
........1......23.......456.....4.....357.....721.....4...2....65.......8...96...
........1......23.......456.....4.....357.....728.....1...96...4...2....65.......
........1......23.......456.....4.....357.....728.....15.......4...2....6...91...
........1......23.......456.....4.....357.....781.....4...8....6...29...95.......
........1......23.......456.....4.....357.....781.....4...8....65.......9...26...
........1......23.......456.....4.....357.....789.....1...26...4...8....65.......
........1......23.......456.....4.....357.....789.....15.......4...8....6...21...
........1......23.......456.....4.....3782...69..........597.....8......4.2..3...
........1......23.......456.....4.....5.61...273.........28......6......417..5...
........1......23.......456.....4.....5127....689........63....29.......7.4......
........1......23.......456.....4.....5267....18.........173...2...8....6.4......
........1......23.......456.....4.....5267....18.........713...2.4..9...6........
........1......23.......456.....4.....5267....81.........783...2.4..9...6........
........1......23.......456.....4.....5267....81.........873...2...1....6.4......
........1......23.......456.....4.....5672....18.........137...2...8....6.4......
........1......23.......456.....4.....5672....18.........731...2...8....6.4......
........1......23.......456.....4.....5672....81.........738...2...1....6.4......
........1......23.......456.....4.....5672....81.........837...2...1....6.4......
........1......23.......456.....4.....6..2....73.56......87....13.......4.21.....
........1......23.......456.....4.....6271....58.........35....1..8.....294......
........1......23.......456.....4.....6278....51.........35....294......8..1.....
........1......23.......456.....4.....7.1.....18.6....4..872...5.3......9...4....
........1......23.......456.....4.....7.16...389.........23.....16.8....49.......
........1......23.......456.....4.....7.16...389.........23.....61.8....49.......
........1......23.......456.....4.....7.35...126.......3.6.....4..3.....8..72....
........1......23.......456.....4.....7.35...286.......1.72.....4.3.....3..6.....
........1......23.......456.....4.....7.53...681.........69......8......453..7...
........1......23.......456.....4.....7.61....8372....1....9...2..3.....69.......
........1......23.......456.....4.....7.61...283.........25.....91......64..8....
........1......23.......456.....4.....7.61...358.........39.....8.......416.7....
........1......23.......456.....4.....7.61...382.........29.....6.......418..5...
........1......23.......456.....4.....7.61...389.........53.....1.9.....468......
........1......23.......456.....4.....7.61...589.........83....146.7....9........
........1......23.......456.....4.....7.68....9372....2..3.....61.......8....1...
........1......23.......456.....4.....7.8.....183.2......516...4..7.....9.2......
........1......23.......456.....4.....7.8.....183.2......615...4..7.....9.2......
........1......23.......456.....4.....7.8.....19.6....3..975...4.2......8..3.....
........1......23.......456.....4.....7.8.....19.7....2....6...45...2...6..13....
........1......23.......456.....4.....7.8.....19.7....3....6...45...3...6..12....
........1......23.......456.....4.....712....589.........56.....219.....4.8......
........1......23.......456.....4.....7168....39.......5.9.....64...1...8..2.....
........1......23.......456.....4.....725.....23.1....4..3.....6..8.9...95.......
........1......23.......456.....4.....725.....23.1....4..3.....65.......8..9.6...
........1......23.......456.....4.....725.....23.8....1..9.6...4..3.....65.......
........1......23.......456.....4.....725.....23.8....15.......4..3.....6..9.1...
........1......23.......456.....4.....725.....28.1....4..8.....6..3.9...95.......
........1......23.......456.....4.....725.....28.1....4..8.....65.......9..3.6...
........1......23.......456.....4.....725.....28.9....1..3.6...4..8.....65.......
........1......23.......456.....4.....725.....28.9....15.......4..8.....6..3.1...
........1......23.......456.....4.....728....159.........65.....41......2.8.9....
........1......23.......456.....4.....728....591.........65.....28.1....4.9......
........1......23.......456.....4.....7283....91.........96....543..8...8........
........1......23.......456.....4.....735.....32.1....4..2.....6..8.9...95.......
........1......23.......456.....4.....735.....32.1....4..2.....65.......8..9.6...
........1......23.......456.....4.....735.....32.8....1..9.6...4..2.....65.......
........1......23.......456.....4.....735.....32.8....15.......4..2.....6..9.1...
........1......23.......456.....4.....735.....38.1....4..8.....6..2.9...95.......
........1......23.......456.....4.....735.....38.1....4..8.....65.......9..2.6...
........1......23.......456.....4.....735.....38.9....1..2.6...4..8.....65.......
........1......23.......456.....4.....735.....38.9....15.......4..8.....6..2.1...
........1......23.......456.....4.....7382....91.........96....542..8...8........
........1......23.......456.....4.....7681....29.........245...6........8.1..3...
........1......23.......456.....4.....7681....39.........345...6........8.1..2...
........1......23.......456.....4.....7681....39.......5..9....1...2....64...8...
........1......23.......456.....4.....7681....92.........95....1...3....648......
........1......23.......456.....4.....7892....53..........56.....9......8421.....
........1......23.......456.....4.....7892....63..........65.....9......8421.....
........1......23.......456.....4....12......67..35......26....3.58.....49.......
........1......23.......456.....4....13......67..25......36....2.58.....49.......
........1......23.......456.....4....17......68..25......76....2.53.....49.......
........1......23.......456.....4....17......68..35......76....3.52.....49.......
........1......23.......456.....4....1758....3.9.........691...2...7....4.3......
........1......23.......456.....4....1758....39..........697...2...1....43.......
........1......23.......456.....4....23......4.5.61......27....184..5...6........
........1......23.......456.....4....23......5.7.61......25....16.8.....4.9......
........1......23.......456.....4....23......7.5.61......28....194..5...6........
........1......23.......456.....4....23.7....4.56.1......82....194......6........
........1......23.......456.....4....25.3....4.76.1......82....194......6........
........1......23.......456.....4....27..1...4.3.68......93....6........81.2.....
........1......23.......456.....4....27..1...4.3.86......93....61.2.....8........
........1......23.......456.....4....27..1...4.8.69......37....6........91.2.....
........1......23.......456.....4....27..1...4.8.96......37....61.2.....9........
........1......23.......456.....4....27..1...5.8.76......38....6........91.2.....
........1......23.......456.....4....27..1...5.8.79......38....61.2.....9........
........1......23.......456.....4....27..1...58..69......27....6........9.13.....
........1......23.......456.....4....27..1...58..96......27....6.13.....9........
........1......23.......456.....4....27..8...4.3.61......93....18.2.....6........
........1......23.......456.....4....27..8...4.9.61......37....18.2.....6........
........1......23.......456.....4....27..8...5.9.76......39....18.2.....6........
........1......23.......456.....4....27..8...59..61......27....1.83.....6........
........1......23.......456.....6......147....28........9853...1..9.....4.6......
........1......23.......456.....6.....1.42...357.........58....264.9....7........
........1......23.......456.....6.....1.42...378.........75....264.9....8........
........1......23.......456.....6.....2.14...378.........7.5...169......4....3...
........1......23.......456.....6.....2.17....83......5...9....64.......9..385...
........1......23.......456.....6.....2.17...348.........4.5.....7..3...169......
........1......23.......456.....6.....2.17...358.........34.....8.......617.2....
........1......23.......456.....6.....2.17...358.........34.....8.......671.2....
........1......23.......456.....6.....2.17...358.........5.4.....7..3...169......
........1......23.......456.....6.....2.17...483.......4.39.....7..8....65.......
........1......23.......456.....6.....2.41....37.........35....6...8....941.6....
........1......23.......456.....6.....2.41....37.........35....6...8....9412.....
........1......23.......456.....6.....2.41....73......5..38....64..7....8....5...
........1......23.......456.....6.....2.47....38.........35....147.6....6...9....
........1......23.......456.....6.....2.47....38.........35....1472.....6...9....
........1......23.......456.....6.....2.71....83.......3.82....61...7...7....4...
........1......23.......456.....6.....2.71....83......5...9....64.......9..385...
........1......23.......456.....6.....2.71....83......5..19....62.......9..3.5...
........1......23.......456.....6.....2.71....83......5..19....64.......9..3.5...
........1......23.......456.....6.....2.71....83......5..82....61...7...7....4...
........1......23.......456.....6.....2.71...348.........4.5.....1..3...769......
........1......23.......456.....6.....2.71...358.........5.4.....1..3...769......
........1......23.......456.....6.....213....478.........54.....13.8....6.7......
........1......23.......456.....6.....214.....73......5....8...64.......8..753...
........1......23.......456.....6.....214.....73......5..7.8...64.......8...53...
........1......23.......456.....6.....2157....83.........342...1..9.....5.6......
........1......23.......456.....6.....217.....375.....4...2....6...84...95.......
........1......23.......456.....6.....2571....38.........482...1...9....5.6......
........1......23.......456.....6.....2571....83.........482...1...9....56.......
........1......23.......456.....6.....278.....37.5....15.......4..2.....6..9.4...
........1......23.......456.....6.....4.1.....72..5....5.78....61.3.....9..2.....
........1......23.......456.....6.....4.1.....72..5....5.83....61.7.....9..2.....
........1......23.......456.....6.....4.21....57..4...21.8.....6........8..39....
........1......23.......456.....6.....4.27....51..4...27.8.....6........8..39....
........1......23.......456.....6.....4.7.....82..5....5.89....1..2.....67.3.....
........1......23.......456.....6.....4.7.....82..5....5.93....1..2.....67.8.....
........1......23.......456.....6.....4175...38..........327.....5.8.....61......
........1......23.......456.....6.....4175...38..........723.....5.8.....61......
........1......23.......456.....6.....4571...23..........387.....1.9....6.5......
........1......23.......456.....6.....7.14...389.........23.....14.8....69.......
........1......23.......456.....6.....7.14...389.........23.....41.8....69.......
........1......23.......456.....6.....7.18...249.........25.....9.......618.7....
........1......23.......456.....6.....7.18...249.........25.....9.......681.7....
........1......23.......456.....6.....7.42...358.........59....264.1....8........
........1......23.......456.....6.....7.42...389.........85....264.1....9........
........1......23.......456.....6.....712....358..........59.....2..3...861......
........1......23.......456.....6.....712....589..........53.....2..8...691......
........1......23.......456.....6.....714....389..........35....4...9...618......
........1......23.......456.....6.....718.....284.....5...7....6...35...94.......
........1......23.......456.....6.....7281....39.........53....2.1.7....46.......
........1......23.......456.....6.....7481...29..........23.....61..4...8.4......
........1......23.......456.....6.....789.....28.4....14.......5..7.....6..3.5...
........1......23.......456.....6....17.42...2.3..5.....83......9.8.....56.......
........1......23.......456.....6....23..4...78..53....9.2.....1..9.....6.4......
........1......23.......456.....7.......24...689..5...2...8....3.7......4..91....
........1......23.......456.....7.......24...6891.....2...8....3.7......4..91....
........1......23.......456.....7.....1..4....56.81......93....23.......7.42.....
........1......23.......456.....7.....1..4....63.81......93....2....5...74.2.....
........1......23.......456.....7.....1..4....63.81......93....25.......7.42.....
........1......23.......456.....7.....1.23....28..9...2..6.....5..8.....73...2...
........1......23.......456.....7.....1.84....53..6......39....248......7...2....
........1......23.......456.....7.....1254....86.9.......38....29.......4.7......
........1......23.......456.....7.....1264....85..........83...2..5.....674......
........1......23.......456.....7.....1264....85.........873...2...5....6.4......
........1......23.......456.....7.....1462....85.........3.8...2..5.....674......
........1......23.......456.....7.....1462....85.........378...2..5.....6.4......
........1......23.......456.....7.....2..3...165........4.6....7...5....89.42....
........1......23.......456.....7.....2..3...685........4.6.....7..5....19.42....
........1......23.......456.....7.....2..4...36..18.....92......1..3.....849.....
........1......23.......456.....7.....2..4...38..56.....49.....6.72.....8...3....
........1......23.......456.....7.....2..5....1824.......169...3.5......7..8.....
........1......23.......456.....7.....2..5....8124.......869...3.5......7..1.....
........1......23.......456.....7.....2.1.....85.9.......4.5...4.36.....71.8.....
........1......23.......456.....7.....2.14....38......5..39....7.6......91...5...
........1......23.......456.....7.....2.14....38......5..9.....7.1......9..385...
........1......23.......456.....7.....2.14....83......5...9....71.......9..385...
........1......23.......456.....7.....2.16....38......513......7...24...9..8.....
........1......23.......456.....7.....2.16....83.......3.82....1....4...76...1...
........1......23.......456.....7.....2.16....83......1....4...5..82....76...1...
........1......23.......456.....7.....2.16....83......5...9....71.......9..385...
........1......23.......456.....7.....2.18....95.........9.4....8.2.....716.8....
........1......23.......456.....7.....2.18....95.........9.4....8.2.....7163.....
........1......23.......456.....7.....2.18....95..2......3.5...1..9.....786......
........1......23.......456.....7.....2.3.....86.9.......2.4...513..6...7..5.....
........1......23.......456.....7.....2.3.....86.9.......2.4...531..6...7..5.....
........1......23.......456.....7.....2.35....41..2......814...3.59.....7........
........1......23.......456.....7.....2.35...18...2......986.....71.....2.4......
........1......23.......456.....7.....2.35...186.........14......8......753..2...
........1......23.......456.....7.....2.38....14..6....3.92....7..5.....98.......
........1......23.......456.....7.....2.38....94..6....3.12....18.......7..5.....
........1......23.......456.....7.....2.41....38......5..39....7.6......91...5...
........1......23.......456.....7.....2.53...186..........8.....74.2....8..91....
........1......23.......456.....7.....2.53...186..........8.....743.....8..91....
........1......23.......456.....7.....2.54....63......1..6.....5...3....74.8.1...
........1......23.......456.....7.....2.6....485.3.......82....179......6...4....
........1......23.......456.....7.....2.6....485.3.......84.....6..2....791......
........1......23.......456.....7.....2.6....584.3.......82....179......6...4....
........1......23.......456.....7.....2.61...389.......5.32.....7..8....41.......
........1......23.......456.....7.....2.61...893.........34.....76.2....15.......
........1......23.......456.....7.....2.64....38......5...9....7.6......9..315...
........1......23.......456.....7.....2.64....38......5..29....7...3....91..8....
........1......23.......456.....7.....2.64....38......5..92....7...3....91..8....
........1......23.......456.....7.....2.64....38.5....5..92....7..1.....94.......
........1......23.......456.....7.....2.68....94..3......5.9...61.4.....8.7......
........1......23.......456.....7.....2.68....95..2......4.9...61.5.....8.7......
........1......23.......456.....7.....2.81....95.........9.4....1.2.....786.1....
........1......23.......456.....7.....2.81....95.........9.4....1.2.....7863.....
........1......23.......456.....7.....2.81....95..2......3.5...716......8..9.....
........1......23.......456.....7.....2.86....39......1..9.....583......7...24...
........1......23.......456.....7.....214.....83......5....9...71.......9..853...
........1......23.......456.....7.....216.....83......5....9...71.......9..853...
........1......23.......456.....7.....4..3...165........2.6....7...5....89.42....
........1......23.......456.....7.....4..3...685........2.6.....7..5....19.42....
........1......23.......456.....7.....4.1.....85.9.......3.4...61.5.....7.26.....
........1......23.......456.....7.....4.16...258.........23.....8.......761.4....
........1......23.......456.....7.....4.16...358.........32.....8.......761.4....
........1......23.......456.....7.....4.16...385.......6..41...75.......9..3.....
........1......23.......456.....7.....4.18....83.9.......32.....165.....74.......
........1......23.......456.....7.....4.2.....18.39......9.2.....54.....736......
........1......23.......456.....7.....4.2.....18.69......19....3.54.....72.......
........1......23.......456.....7.....4.2.....81.39......9.2.....54.....736......
........1......23.......456.....7.....4.2.....81.69......89....3.54.....72.......
........1......23.......456.....7.....4.3.....28.5.....9...8...51...2...7..1.9...
........1......23.......456.....7.....4.6.....82..5....5.89....1..2.....76.3.....
........1......23.......456.....7.....4.6.....82..5....5.93....1..2.....76.8.....
........1......23.......456.....7.....4.6....238.5.......34......6.2....971......
........1......23.......456.....7.....4.6....258.3.......54......6.2....791......
........1......23.......456.....7.....4.6....283.5.......84......6.2....971......
........1......23.......456.....7.....4.6....358.2.......54......6.3....791......
........1......23.......456.....7.....4.6....382.5.......34......6.2....791......
........1......23.......456.....7.....4.6....382.5.......84......6.2....971......
........1......23.......456.....7.....4.6....582.3.......54......6.2....971......
........1......23.......456.....7.....4.6....583.2.......54......6.3....971......
........1......23.......456.....7.....4.81...693.......8.3.....5..49....7..8.....
........1......23.......456.....7.....4183....52..........59...176......8...3....
........1......23.......456.....7.....4183....52.........5.9...1..3.....876......
........1......23.......456.....7.....4183....52.........579...1..3.....8.6......
........1......23.......456.....7.....4183....52.........759...1.6......8...3....
........1......23.......456.....7.....6..2....54.1......3.5....7...4....81.63....
........1......23.......456.....7.....6..2....54.8......3.5....7...4....98.63....
........1......23.......456.....7.....6.2....189.3.......61....2..9.....475......
........1......23.......456.....7.....6.21....83..4....7.3.....15.......4..98....
........1......23.......456.....7.....6.42....15......4..3.....7..518...9.2......
........1......23.......456.....7.....6.42....51......4..3.....7..518...9.2......
........1......23.......456.....7.....6.42....58......4..3.....7..581...9.2......
........1......23.......456.....7.....6.42....85......4..3.....7..581...9.2......
........1......23.......456.....7.....6182....43.........4.9...1..2.....875......
........1......23.......456.....7.....6482....35.......8..9.....9.63....21.......
........1......23.......456.....7.....7.61...284.........25.....76.9....1.8......
........1......23.......456.....7.....7.61...285.........24.....76.9....1.8......
........1......23.......456.....7.....7146...35.........1..4...2..38....9.6......
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blue
 
Posts: 975
Joined: 11 March 2013

Re: How many 1-clue-box and 2-clue-box?

Postby blue » Mon Sep 26, 2022 12:27 am

6plus14 part 3: (1050)
Hidden Text: Show
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........1......23.......456....17.....2..8....94.........35....1.62.....38.9.....
........1......23.......456....17.....2..8...364.........621...5.3......9...4....
........1......23.......456....17.....2.4....483.........7.3...6....9...91.8.....
........1......23.......456....17.....2.4....483.........7.3...61.8.....9....6...
........1......23.......456....17.....2.4....483.........8.3...6....9...91.7.....
........1......23.......456....17.....2.4....483.........8.3...61.7.....9....6...
........1......23.......456....17.....2.6....485.........8.9...5..24....7.3......
........1......23.......456....17.....2.8.....94.........3.5...31.9.....7.62.....
........1......23.......456....17.....2.8.....94.........3.5...38.9.....7.62.....
........1......23.......456....17.....2.8.....95........34.2...6..3.....78.9.....
........1......23.......456....17.....2.8.....95........43.2...6..4.....78.9.....
........1......23.......456....17.....2.8.....95........43.2...68.9.....7..4.....
........1......23.......456....17.....2.8....364.........672...5.3......9....4...
........1......23.......456....17.....24.....689.........539....1...8....24......
........1......23.......456....17.....26.8....49.........743...1....5...8.6......
........1......23.......456....17.....26.8....59.........753...1....4...8.6......
........1......23.......456....17.....26.8....94.........975...1...8....8.6......
........1......23.......456....17.....26.8....94.........975...1..2.....8.6......
........1......23.......456....17.....268.....45.........9.5...1..3.....286......
........1......23.......456....17.....268.....48.........2.6...1..4.....39.5.....
........1......23.......456....17.....268.....48.........2.6...1..4.....97.5.....
........1......23.......456....17.....4..3....536........84....7..5.....92..6....
........1......23.......456....17.....4..6...283.........42.....5.3.....819......
........1......23.......456....17.....4..6...289.......5...4...17.2.....8..7.....
........1......23.......456....17.....4..6...289.......5...4...71.2.....8..7.....
........1......23.......456....17.....4..8....92.........35....1.64.....37.9.....
........1......23.......456....17.....4..8....92.........35....1.64.....38.9.....
........1......23.......456....17.....4..8....95.........3.5...1824.....6..9.....
........1......23.......456....17.....4.6....289.......5..4....17.2.....8..1.....
........1......23.......456....17.....4.6....289.......5..4....71.2.....8..1.....
........1......23.......456....17.....4.8.....92.........3.5...31.9.....7.64.....
........1......23.......456....17.....4.8.....92.........3.5...38.9.....7.64.....
........1......23.......456....17.....4.8.....93........25.3...68.9.....7..2.....
........1......23.......456....17.....4.8.....93........52.3...6..5.....78.9.....
........1......23.......456....17.....42.....689.........359....1...8...4.2......
........1......23.......456....17.....46.8....92.........975...1..4.....8.6......
........1......23.......456....17.....46.8....93.........975...1..4.....8.6......
........1......23.......456....17.....46.8...29..........39......15.....648......
........1......23.......456....17.....468.....23.........943...1..5.....8.6......
........1......23.......456....17.....468.....29.........572...1..3.....8.6......
........1......23.......456....17.....468.....39.........573...1..2.....8.6......
........1......23.......456....17.....468....29..........3.9.....15.....648......
........1......23.......456....17.....468....29..........3.9.....85.....641......
........1......23.......456....17.....48.6....29.........725...1..3.....8.6......
........1......23.......456....17.....48.6....39.........735...1..2.....8.6......
........1......23.......456....17.....6..8....23........593.....9.5.....18.2.....
........1......23.......456....17.....8..4....29.......5.38....19.......3..2.5...
........1......23.......456....17.....8..6....29......1..38....35.......6..2.4...
........1......23.......456....17.....8..6....29......1..39....35.......6..2.4...
........1......23.......456....17.....8..6....92.......4928....5...9....7..3.....
........1......23.......456....17.....8..6....92......1..32....35.......6..9.4...
........1......23.......456....17.....8..6....92......1..38....35.......6..9.4...
........1......23.......456....17.....8.4.....29.......5.3.8...3..25....79.......
........1......23.......456....17.....8.4....243.........7.3....6...9...19.2.....
........1......23.......456....17.....8.4....243.........7.3....9...6...16.2.....
........1......23.......456....17.....8.4....35..9.......8.3....412.....27.......
........1......23.......456....17.....8.4....36..9.......8.3....412.....27.......
........1......23.......456....17.....8.6.....29......35.......6..24....7..3.8...
........1......23.......456....17.....8.6.....29......35.......6..24....7..3.9...
........1......23.......456....17.....8.6.....92.......492.8...1..3.....5....9...
........1......23.......456....17.....8.6.....92......35.......6..94....7..3.2...
........1......23.......456....17.....8.6.....92......35.......6..94....7..3.8...
........1......23.......456....17.....8.6....245.........2.9....5.84.....73......
........1......23.......456....17.....84.6....23.........538...1...9....4.6......
........1......23.......456....17.....84.6....29..........93...1..5.....476......
........1......23.......456....17.....84.6....29..........93...1..5.....674......
........1......23.......456....17.....84.6...29...........93.....15.....746......
........1......23.......456....17.....84.6...29...........93.....15.....764......
........1......23.......456....17.....84.6...29...........93...481......6...5....
........1......23.......456....17.....842.....65.........385...2.4......7...9....
........1......23.......456....17.....842.....65.........385...4.2......7...9....
........1......23.......456....17.....842.....65.........835...4.2......7...9....
........1......23.......456....17.....86......24.8.......4.6...1..2.....97.5.....
........1......23.......456....17.....86......42.8.......2.6...1..4.....97.5.....
........1......23.......456....17.....86.2....45.........358...1....9...2.6......
........1......23.......456....17.....86.4....23.........538...1...9....4.6......
........1......23.......456....17.....86.4....29.........59....1...3....846......
........1......23.......456....17.....86.4....29.........59....1...3....864......
........1......23.......456....17.....86.4...29...........93...4...5....681......
........1......23.......456....17.....86.9....23.........824...1..5.....9.6......
........1......23.......456....17.....86.9....24.........275...1...9....9.6......
........1......23.......456....17.....86.9....24.........275...1..8.....9.6......
........1......23.......456....17.....86.9....25.........458....96......1..3.....
........1......23.......456....17.....86.9....25.........854....96......1..3.....
........1......23.......456....17.....86.9....42.........743...1....5...9.6......
........1......23.......456....17.....86.9....43.........742...1....5...9.6......
........1......23.......456....17.....86.9....45.........742...1....3...9.6......
........1......23.......456....17.....869.....23.........483...1..5.....9.6......
........1......23.......456....17.....869.....23.........583...1..4.....9.6......
........1......23.......456....17.....869.....23.........843...1..5.....9.6......
........1......23.......456....17.....869.....23.........853...1..4.....9.6......
........1......23.......456....17.....869.....24.........372...1..5.....9.6......
........1......23.......456....17.....869.....25.........485....96......1..3.....
........1......23.......456....17.....869.....25.........835....96......1..4.....
........1......23.......456....17....23..8...9.5.........3.9.....24......165.....
........1......23.......456....17....24..8...6.9.........24.....5.6.....793......
........1......23.......456....17....24.8....39..........94......5..2...168......
........1......23.......456....17....24.8....39..........94......6..2...158......
........1......23.......456....17....24.8....56..........694...3..2.....7.5......
........1......23.......456....17....24.8....93..........34......5..2...168......
........1......23.......456....17....24.8....93..........34......6..2...158......
........1......23.......456....17....25.8....93..........35......4..2...168......
........1......23.......456....17....25.8....93..........35......6..2...148......
........1......23.......456....17....26.5....74..........64....1..2.....378......
........1......23.......456....17....26.5....74..........64....1..2.....387......
........1......23.......456....17....28......4.9.6.......94....6..2.....783......
........1......23.......456....17....28......46...9......2.4.....96.....183......
........1......23.......456....17....28......6.4..9......486....75......3..2.....
........1......23.......456....17....28......6.4..9......684....75......3..2.....
........1......23.......456....17....28......6.4..9......946....3.2......75......
........1......23.......456....17....28......6.4..9......964....3.2......75......
........1......23.......456....17....28......9.4..6......2.4.....59.....813......
........1......23.......456....17....28......9.4..6......2.4...5..9.....813......
........1......23.......456....17....28......9.4..6......9.4...5..2.....813......
........1......23.......456....17....28......9.4.6.......94......62.....783......
........1......23.......456....17....28......94..6.......496....37.......5.2.....
........1......23.......456....17....28.9....64..........289....3.4.....75.......
........1......23.......456....23.....1..6....78......2..71....5...9....93...5...
........1......23.......456....23.....1..7....46..5....2.6.....358......7..9.....
........1......23.......456....23.....7..8....46..5....2.6.....359......8..1.....
........1......23.......456....23.....748.....56.........176....8.9.....2.4......
........1......23.......456....23.....748.....56.........716....8.9.....2.4......
........1......23.......456....23.....748.....56.........796....8.1.....2.4......
........1......23.......456....23.....748.....56.........9.6...2..1.....784......
........1......23.......456....23.....748.....56.........976....8.1.....2.4......
........1......23.......456....23....16..4...78..........8.6.....51.....349......
........1......23.......456....23....16..4...78..........8.6.....9.1....354......
........1......23.......456....23....16..7...4.8.........4.6....8.1.....527......
........1......23.......456....23....16..7...84..........4.6...375......9..1.....
........1......23.......456....23....16..7...85..........5.6...274......9..1.....
........1......23.......456....23....16..7...89..........9.6.....4.1....375......
........1......23.......456....23....16..7...89..........9.6.....41.....357......
........1......23.......456....23....16..7...89..........9.6.....41.....375......
........1......23.......456....23....16..7...89..........9.6.....5.1....374......
........1......23.......456....23....16..7...89..........9.6.....51.....347......
........1......23.......456....23....16..7...89..........9.6.....51.....374......
........1......23.......456....23....17..6...8.4.........875....2..1....94.......
........1......23.......456....23....17..8...6.4.........817...35.......9..6.....
........1......23.......456....23....17..8...6.4.........871...35.......9..6.....
........1......23.......456....24.....1..7....65..3....2.1......4.89....38.......
........1......23.......456....24.....1..7....65..3....2.1......4.89....83.......
........1......23.......456....24.....1..7...389........72......2..8....9..36....
........1......23.......456....24.....1..7...583.........65.....72.8....4.9......
........1......23.......456....24.....1.6....783.........7.9....28......46...1...
........1......23.......456....24.....1.7.....893........9.6...2....1...574......
........1......23.......456....24.....13.....678.........5.6....34..7...92.......
........1......23.......456....24.....13.....678.........5.6....34..8...92.......
........1......23.......456....24.....17.....568..........36...2.4..8...97.......
........1......23.......456....24.....17.....685..........36....24..8...79.......
........1......23.......456....24.....17.....689..........36....24..8...57.......
........1......23.......456....24.....3..7...581........913....4....5...7.8......
........1......23.......456....24.....3..7...581.......9.13....2....5...7.8......
........1......23.......456....24.....3..7...589.......5.91....4...8....67.......
........1......23.......456....24.....3..7...681.......6.19....4...8....57.......
........1......23.......456....24.....3.7....681..........39...54.......8..61....
........1......23.......456....24.....3.7....685.........63.....6.1.5...92.......
........1......23.......456....24.....478.....56.......3..19...2....6...78.......
........1......23.......456....24.....5..6...371........62......2.7.....1..83....
........1......23.......456....24.....5..6...378........62......2.7.....8..13....
........1......23.......456....24.....5..7....61..3....2.1......4.89....39.......
........1......23.......456....24.....5..7....68..3....2.8......4.19....39.......
........1......23.......456....24.....5.1....378.........7.9...4.1..6...82.......
........1......23.......456....24.....5.1....783.........7.9.....7.35...62.......
........1......23.......456....24.....5.1....783.........7.9....14..6...2.8......
........1......23.......456....24.....5.6....378.........7.9...4.21.....86.......
........1......23.......456....24.....5.7....138..........35....6.1.....849......
........1......23.......456....24.....53.....678..........69.....2..1...347......
........1......23.......456....24.....57.....168.........3.6...7.4..8...92.......
........1......23.......456....24.....57.....368..........69.....2..1...473......
........1......23.......456....24.....6..3...175.........76.....3..1....284......
........1......23.......456....24.....6..5...178.........9.6....8.71....34.......
........1......23.......456....24.....6..5...178.........9.6...43.......8..71....
........1......23.......456....24.....6..5...781.........7.6....7.31....94.......
........1......23.......456....24.....6..5...781.........7.6....7.91....34.......
........1......23.......456....24.....6..7...185.........86.....7..1....234......
........1......23.......456....24.....6..7...185.........86.....7..1....294......
........1......23.......456....24.....6..7...583..........68....9.3.....215......
........1......23.......456....24.....6.3....781.........76.....7.5.1...92.......
........1......23.......456....24.....6.7....138.5.......8.9....5...1...74.......
........1......23.......456....24.....6.7....153........48.6...8..3.....92.......
........1......23.......456....24.....6.7....583.........561....7...3...29.......
........1......23.......456....24.....6.7....583........41.6....1.3.....29.......
........1......23.......456....24.....61.....785..........95....4..3....172......
........1......23.......456....24.....7..3...581.........56.....38......4.27.....
........1......23.......456....24.....7..3...681..........76...5..1.....928......
........1......23.......456....24.....7..5...681..........76...298......3..1.....
........1......23.......456....24.....7..8....65..3....2.7......4.91....39.......
........1......23.......456....24.....7..8....65..3....2.7......4.91....93.......
........1......23.......456....24.....7..8...159.........172....35.......6..9....
........1......23.......456....24.....7..8...351.......6.71....4..3.....9.8......
........1......23.......456....24.....7..8...691..........76...329......5..1.....
........1......23.......456....24.....7.3....168..........67.....51.....489......
........1......23.......456....24.....7.3....583.........7.6...2..5.....61.9.....
........1......23.......456....24.....7.3....583.........7.6...2..5.....69.1.....
........1......23.......456....24.....7.5.....38..6......7.3....59......24.9.....
........1......23.......456....24.....7.8.....95.......1.8......8.5.3...279......
........1......23.......456....24.....7.8....169..........67.....51.....493......
........1......23.......456....24.....7.8....196.........4.7...32...8...9..6.....
........1......23.......456....24.....7.8....196.........4.7...32.5.....9..6.....
........1......23.......456....24.....7.8....351.......2.5......68......9..7.1...
........1......23.......456....24.....7.8....359.......2.5......68......1..7.9...
........1......23.......456....24.....73.....168.........5.6...29.......3.4..8...
........1......23.......456....24.....73.....681.........5.6....34..8...92.......
........1......23.......456....24.....78.....691..........36....24..9...58.......
........1......23.......456....24....17..8...6.8.........189...43.......5..6.....
........1......23.......456....24....17..8...6.9.........817...43.......5..6.....
........1......23.......456....24....17..8...6.9.........871...43.......5..6.....
........1......23.......456....24....17..8...69..........817...3..6.....45.......
........1......23.......456....24....17..8...69..........871...3..6.....45.......
........1......23.......456....24....23.7....58..1.......3.8...1..9.....6.7......
........1......23.......456....24....27..3...58.........48.......517....6.3......
........1......23.......456....24....27..3...58.........48.......597....6.3......
........1......23.......456....24....27.8....53..1.......7.3...1..9.....6.8......
........1......23.......456....24....27.8....53..1.......9.3...1..7.....6.8......
........1......23.......456....24....27.8....59..1.......3.9...1..7.....6.8......
........1......23.......456....25.....1..4....37......2..31....48...9...9..8.....
........1......23.......456....25.....1..7....85.3.......8.3...274......9..4.....
........1......23.......456....25.....1.6.....78.......1.7......67......5..249...
........1......23.......456....25.....13.....678.........4.6....35..7...92.......
........1......23.......456....25.....13.....678.........4.6....35..8...92.......
........1......23.......456....25.....374....58..........951.....4..8....27......
........1......23.......456....25.....43.....678..........69.....2..1...357......
........1......23.......456....25.....534....78..........7.6.....31.....594......
........1......23.......456....25.....6..4...781.........7.6....7.31....95.......
........1......23.......456....25.....6..7...184.........86.....7..1....235......
........1......23.......456....25.....6.3....781.........76.....7.4.1...92.......
........1......23.......456....25.....7..4...681..........76...298......3..1.....
........1......23.......456....25.....7.3....168..........67.....41.....589......
........1......23.......456....25.....73.....168.........4.6...29.......3.5..8...
........1......23.......456....25.....73.....681.........4.6....35..8...92.......
........1......23.......456....25.....748.....36.........176....84......2..9.....
........1......23.......456....25.....748.....36.........976....84......2..1.....
........1......23.......456....25....17..4...3.8.........78....5..9.....6.21.....
........1......23.......456....26.....1..5....57.......4.83....6..7.....92.4.....
........1......23.......456....26.....1..7....54.3.......8.2.....94.....635......
........1......23.......456....26.....1..7....83.5.......981...2...6....74.......
........1......23.......456....26.....5..3...378.........58.....219.....6..7.....
........1......23.......456....26.....5.3....378.........5.8....619.....2..7.....
........1......23.......456....26.....7..1....54.3.......8.2.....94.....635......
........1......23.......456....26.....7..5....58.......4.93....12.4.....6..8.....
........1......23.......456....26.....7..8...359.........197....84......2...6....
........1......23.......456....26.....7.1....485.......1.4......3.7.5...2.8......
........1......23.......456....26.....7.1....485.......1.4......9.7.5...2.8......
........1......23.......456....26....37......54..8.......6.4.....83.....2.9.7....
........1......23.......456....26....37..1...5.8..4......28....4..3.....96.......
........1......23.......456....27.....1..3....28.4....2..9.....5..8.....73...2...
........1......23.......456....27.....1..3....46.5.....2.1.....73...2...8..4.....
........1......23.......456....27.....1..3....48.5.....2.1.....73...2...9..4.....
........1......23.......456....27.....1..3....68.4.....2.1.....73...2...9..6.....
........1......23.......456....27.....1..3....78..5...2..1.....53...9...9..4.....
........1......23.......456....27.....1..3....86..1......8.2...735......9..4.....
........1......23.......456....27.....1..4....86.3.......8.3...27.......9.41.....
........1......23.......456....27.....1..4....86.3.......8.3...72.......9.41.....
........1......23.......456....27.....1..8....56......2..5.....3..1.....87..42...
........1......23.......456....27.....1..8....59.3.....3.4.6....7.1.....82.......
........1......23.......456....27.....1..8....64..3...2..1.....3..9.5...87.......
........1......23.......456....27.....1..8....96.......7.9.....2.43.....3..51....
........1......23.......456....27.....1..8....96.......8.9.....2.43.....3..51....
........1......23.......456....27.....1.4.....68.3.......9.2.....54.....736......
........1......23.......456....27.....1.4.....68.3......61......2.9.....37...2...
........1......23.......456....27.....1.4.....78..3...2..9.....5..1.....73...2...
........1......23.......456....27.....1.4....568.........8.9.....516....73.......
........1......23.......456....27.....1.5.....89......3..8.....42..3....7..6.1...
........1......23.......456....27.....1.5.....89......32..4....4..6.....7..8.1...
........1......23.......456....27.....1.6.....86..3......87....235......9..5.....
........1......23.......456....27.....1.6.....86..9......87....295......3..5.....
........1......23.......456....27.....1.6.....86..9......89....275......3..5.....
........1......23.......456....27.....1.8.....59.......7.5.....28..74...3..1.....
........1......23.......456....27.....1.8.....69.......7.6.....28..75...3..1.....
........1......23.......456....27.....1.8.....96.......2.9.....3..5.1...7.43.....
........1......23.......456....27.....1.8.....96.......7.9.....28..73...5..1.....
........1......23.......456....27.....1.8.....96.......7.9.....28..75...3..1.....
........1......23.......456....27.....1.8.....96.......8.9.....3..5.1...7.43.....
........1......23.......456....27.....1.8.....96.1.......9.2...3..4.....785......
........1......23.......456....27.....14.3....89.........69....435......7..1.....
........1......23.......456....27.....14.6....58.........753...2....9...6.4......
........1......23.......456....27.....14.8....65.........951...2....3...8.4......
........1......23.......456....27.....14.8....95.........973...2..1.....8.4......
........1......23.......456....27.....14.8....96.........973...2..1.....8.4......
........1......23.......456....27.....148.....56.........135...2...9....8.4......
........1......23.......456....27.....15.3....89.........69....534......7..1.....
........1......23.......456....27.....153.....89.........6.9...524......7..1.....
........1......23.......456....27.....16.4....89..........95...2..3.....476......
........1......23.......456....27.....16.4....89..........95...2..3.....674......
........1......23.......456....27.....18......39..5....2.4......5.13....37.......
........1......23.......456....27.....28.4....39......1...35...4..9.....87.......
........1......23.......456....27.....28.4....39......1...36...4..9.....87.......
........1......23.......456....27.....3..1....85..3......8.2...716......9..4.....
........1......23.......456....27.....3..4...589.........29....17.6.....6..8.....
........1......23.......456....27.....3.5.....86.4.......8.9....32..1...7.4......
........1......23.......456....27.....345.....68........78.9...2....3...65.......
........1......23.......456....27.....4.3....153.........4.6...2..5.....86.9.....
........1......23.......456....27.....4.3....583.........4.6....2.5.....69.1.....
........1......23.......456....27.....5..1....83..5......8.2...716......9..4.....
........1......23.......456....27.....5..3....28..4.....98.....4..1.2...73.......
........1......23.......456....27.....5..3....64.........65....7..8.....982.4....
........1......23.......456....27.....5..3....64.........65....712..8...8...3....
........1......23.......456....27.....5..4...386.........28......94.....6.13.....
........1......23.......456....27.....5..4...386.........48......42.....1.93.....
........1......23.......456....27.....5..4...386.........48......42.....9.13.....
........1......23.......456....27.....5.8....386........15.9....7.1.....2..3.....
........1......23.......456....27.....5.8....386........95.1....7.9.....2..3.....
........1......23.......456....27.....58......361.........65...2.7.3....8...4....
........1......23.......456....27.....6..3....54.........56....7..8.....982.4....
........1......23.......456....27.....6..3....54.........56....712..8...8...3....
........1......23.......456....27.....6..3....81..6......8.2...735......9..4.....
........1......23.......456....27.....6..4....81.3.......8.3...27.......9.46.....
........1......23.......456....27.....6..4....81.3.......8.3...72.......9.46.....
........1......23.......456....27.....6..4...189..........56....9.81....37.......
........1......23.......456....27.....6..4...189..........56...73.......9..81....
........1......23.......456....27.....6..4...893.......1.63.....4.2.....7...8....
........1......23.......456....27.....6..8....15..3....2.6......7..9....38.4.....
........1......23.......456....27.....6..8....15..3....2.6......8..9....37.4.....
........1......23.......456....27.....6..8....51..3...2..4.....3..6.....87...2...
........1......23.......456....27.....6..8....51..9...2..4.....3..6.....87...2...
........1......23.......456....27.....6..8....59......2..5.....3..6.....87..42...
........1......23.......456....27.....6..8....59..1...2..4.....3..6.....87...2...
........1......23.......456....27.....6..8....59..3...2..4.....3..6.....87...2...
........1......23.......456....27.....6..8....93.......7.9.....2.45.....5..13....
........1......23.......456....27.....6..8....93.......8.9.....2.45.....5..13....
........1......23.......456....27.....6..8....95..3....2.6......7..1....38.4.....
........1......23.......456....27.....6..8....95..3....2.6......8..1....37.4.....
........1......23.......456....27.....6.1.....81..3......87....235......9..5.....
........1......23.......456....27.....6.1.....81..9......87....295......3..5.....
........1......23.......456....27.....6.1.....81..9......89....275......3..5.....
........1......23.......456....27.....6.8.....59.......7.5.....28..74...3..6.....
........1......23.......456....27.....6.8.....93.......2.9.....5..1.3...7.45.....
........1......23.......456....27.....6.8.....93.......8.9.....5..1.3...7.45.....
........1......23.......456....27.....8..1....94........583....21.9.....3..5.....
........1......23.......456....27.....8..3....21.4....2..9.....5..1.....73...2...
........1......23.......456....27.....8..3....41.5.....2.8.....73...2...9..4.....
........1......23.......456....27.....8..3....46.5.....2.8.....73...2...9..4.....
........1......23.......456....27.....8..3....61.4.....2.8.....73...2...9..6.....
........1......23.......456....27.....8..3....71..5...2..8.....53...9...9..4.....
........1......23.......456....27.....8..4...153..........85....6.3.....291......
........1......23.......456....27.....8..9....51.3.....3.4.6....7.8.....92.......
........1......23.......456....27.....8..9....56......2..5.....3..8.....97..42...
........1......23.......456....27.....8..9....64..3...2..8.....3..1.5...97.......
........1......23.......456....27.....8.3....143.........8.5...2..4.....95.6.....
........1......23.......456....27.....8.3....153.........8.4...2..5.....94.6.....
........1......23.......456....27.....8.3....493.........8.5....2.4.....51.6.....
........1......23.......456....27.....8.3....593.........8.4....2.5.....41.6.....
........1......23.......456....27.....8.4.....71..3...2..9.....5..8.....73...2...
........1......23.......456....27.....8.4....561.........8.9.....516....73.......
........1......23.......456....27.....8.4....561.........9.8.....516....73.......
........1......23.......456....27.....84.9....56.........168...2....3...9.4......
........1......23.......456....27.....85.3....46.........168....3.9.....7.5......
........1......23.......456....27.....85.3....46.........861....3.9.....7.5......
........1......23.......456....27.....85.3....46.........869....3.1.....7.5......
........1......23.......456....27.....85.3....46.........96....7..1.....835......
........1......23.......456....27.....85.3....46.........968....3.1.....7.5......
........1......23.......456....27....18..9...4.6........184.....2.5......9.6.....
........1......23.......456....27....18..9...4.6........184.....2.6......9.5.....
........1......23.......456....27....18..9...46.........25.......96......8.14....
........1......23.......456....27....18..9...46.........26.......95......8.14....
........1......23.......456....27....18..9...6.4.........918...3..6.....75.......
........1......23.......456....27....18..9...6.4.........981...3..6.....75.......
........1......23.......456....27....345.....5.8.........495....1.3.....67.......
........1......23.......456....27....38..1...54.........1.6......2.5.....8.43....
........1......23.......456....27....38..9...54.........2.5......9.6.....8.43....
........1......23.......456....45.....1..3....78......5..716...6..3.....94.......
........1......23.......456....45.....2.7....138.........326...5.7......9....4...
........1......23.......456....45.....2.7....389.........326....1...4....57......
........1......23.......456....45.....27......71..8....4.23....3..9.....56.......
........1......23.......456....45.....27......78..1....4.23....3..9.....56.......
........1......23.......456....45.....7..2...168..........76.....31.....489......
........1......23.......456....45....16..2...78..........216.....38.....5.9......
........1......23.......456....45....16..2...78..........8.6.....3.1....529......
........1......23.......456....45....16..2...78..........8.6.....3.1....592......
........1......23.......456....45....16..2...78..........8.6.....9.1....523......
........1......23.......456....45....16..2...78..........8.6.....9.1....532......
........1......23.......456....45....16..7...89..........9.6.....2.1....537......
........1......23.......456....45....16..7...89..........9.6.....2.1....573......
........1......23.......456....45....16..7...89..........9.6.....3.1....527......
........1......23.......456....45....16..7...89..........9.6.....3.1....572......
........1......23.......456....46.....1..5....43..7......821...6..3.....95.......
........1......23.......456....46.....1..7.....89......6.85.....79......54.3.....
........1......23.......456....46.....1.5......78......48.......6.7.5...59.3.....
........1......23.......456....46.....15.3....78.........47....3...2....659......
........1......23.......456....46.....17.......8..9....6.15.....97......54.3.....
........1......23.......456....46.....17.......8.5.....47.......6.1.5...59.3.....
........1......23.......456....46.....2..1....78.5....1..9.4...3..2.....69.......
........1......23.......456....46.....2..1....78.5....14.9.....3..2.....6....5...
........1......23.......456....46.....2..7....81..9....6.2.....47.......5..38....
........1......23.......456....46.....2..7....89.5....3..2.....6....5...74.1.....
........1......23.......456....46.....7.1.....32.5.....189......5...3...6..2.....
........1......23.......456....46.....7.1....358.........5.7.....2..3...869......
........1......23.......456....47.....1..2...389.........96....524......7...1....
........1......23.......456....47.....1..2...685.......2..6.....3.15....7.8......
........1......23.......456....47.....1..3...289.........96....534......7...1....
........1......23.......456....47.....1.3.....89......2..6.....53..2....7..8.1...
........1......23.......456....47.....1.3.....89......23..5....5..6.....7..8.1...
........1......23.......456....47.....1.3.....89......23..5....5..8.....7..6.1...
........1......23.......456....47.....2..5....89.......4.23.....7.6.....63.1.....
........1......23.......456....47.....2..6....89.5....3..2.....6....4...74.1.....
........1......23.......456....47.....52.....368..........96.....7.1....423......
........1......23.......456....47.....8..2...169..........86.....51.....493......
........1......23.......456....67.....2.3.....47.1.....1.2.....46.8.....5....9...
........1......23.......456....67.....2.3.....47.1.....6.2.....41.8.....5....9...
........1......23.......456....67.....2.4.....83..5...57.1.....6..2.....9...8....
........1......23.......456....67.....2.8......741.....1.2.....46.9.....5....3...
........1......23.......456....67.....2.8......741.....5...3...14.9.....6..2.....
........1......23.......456....78.....6..2....15..3....2..9.....7.6.....38.4.....
........1......23.......456....78.....6..2....95..3....2..1.....7.6.....38.4.....
........1......23.......456..1..2....4..6.....73..5....2.7.....6..4.....8..93....
........1......23.......456..1..4....7...2....89.7......891....3....5...4..3.....
........1......23.......456..1.78....2.4......5...2.....75.....1.8.9....9..3.....
........1......23.......456..2..6.....6.17....8...9....9.2.....14.3.....5...8....
........1......23.......456..2..6.....6.71....8...9....9.2.....5...8....74.3.....
........1......23.......456..2..7.....5.83....6..4....13.9.....4..6.....8...2....
.......12......3.4......56.............167...248........14.....5..23....96..5....
.......12......3.4......56.............167...248........18.....5..23....96..5....
.......12......3.4......56.............167...248........6..8....3.94.....513.....
.......12......3.4......56.............167...248........6.8.....3.9.4....513.....
.......12......3.4......56.............167...248........7..8....3.94.....513.....
.......12......3.4......56.............167...248........7.8.....3.9.4....513.....
.......12......3.4......56.............167...248.......1.4.....5..23....9.6.5....
.......12......3.4......56.............167...248.......1.8.....5..23....9.6.5....
.......12......3.4......56.............167...248..5.....18.....5..23....9.6......
.......12......3.4......56.............167...248..5....1.4.....5..23....96.......
.......12......3.4......56.............167...248..5....5.43....1..2.....69.......
.......12......3.4......56.............167...2485.......7..8...5...32...9.6......
.......12......3.4......56.............167...2485......5..34...69.......7....2...
.......12......3.4......56.............167...2485......7...4...5...32...96.......
.......12......3.4......56............1.67...28.4.3......8.4.....72.....196......
.......12......3.4......56............1.67...28.4.3......8.4.....72.....916......
.......12......3.4......56............1.67...28.43.......84......62.....197......
.......12......3.4......56............1.67...28.43.......84......62.....917......
.......12......3.4......56......1......276....48.......3.45....2.1......6...82...
.......12......3.4......56......1......276....48.......3.457...2.1......6...8....
.......12......3.4......56......1......276....48.......9.45....2.1......6...82...
.......12......3.4......56......1......276....48.......9.457...2.1......6...8....
.......12......3.4......56......1......672....48.......3.754...2...8....6.1......
.......12......3.4......56......1......672....48.......9.754...2...8....6.1......
.......12......3.4......56......1......678....29........3759...61.......8...2....
.......12......3.4......56......1......678....29........4759...61.......8...2....
.......12......3.4......56......1......678....39........5924...6..5.....7.1......
.......12......3.4......56......1......786....29........359....6..2.8...81.......
.......12......3.4......56......1......786....29........3597...6..2.....81.......
.......12......3.4......56......1......786....29........459....6..2.8...81.......
.......12......3.4......56......1......786....29........4597...6..2.....81.......
.......12......3.4......56......1......786....49......2..348...6.1.5....7........
.......12......3.4......56......1......786....49......2..398...61..5....7........
.......12......3.4......56......1.....1247...38..........58......23.....194......
.......12......3.4......56......1.....1267...45..........43......7.5....816......
.......12......3.4......56......1.....1267...58..........38......25.....196......
.......12......3.4......56......1.....1274...38..........85......4.3....192......
.......12......3.4......56......1.....1472...38..........58......23.....194......
.......12......3.4......56......1.....1672...45..........43......7.5....816......
.......12......3.4......56......1.....1672...58..........38......25.....196......
.......12......3.4......56......1.....2..6....7534.......738...1..5.....9.6......
.......12......3.4......56......1.....2.4.....43..7...1..4.....5.68.....8..23....
.......12......3.4......56......1.....2.4.....43..7...1..4.....5.89.....9..23....
.......12......3.4......56......1.....2.4.....75.3.....3.7.6...1..5.....84.9.....
.......12......3.4......56......1.....2.4.....75.3.....3.8.6...1..5.....94.7.....
.......12......3.4......56......1.....2.4.....76..3....3.75....14.8.....9..6.....
.......12......3.4......56......1.....2.4.....76..3....3.78....14.5.....9..6.....
.......12......3.4......56......1.....2.6.....73.5.....5.7.4...1..3.....86.9.....
.......12......3.4......56......1.....2.6.....73.5.....5.7.8...16.4.....9..3.....
.......12......3.4......56......1.....2.6.....73.5.....5.8.4...1..3.....96.7.....
.......12......3.4......56......1.....2.6.....73.5.....5.8.4...16.7.....9..3.....
.......12......3.4......56......1.....2.6.....74..5....5.38....16.7.....9..4.....
.......12......3.4......56......1.....2.6.....74..5....5.83....16.7.....9..4.....
.......12......3.4......56......1.....2576...38..........437.....68......15......
.......12......3.4......56......1.....2675...38..........437.....58......16......
.......12......3.4......56......1.....2678....49.........485...6...9....7.1......
.......12......3.4......56......1.....2678....49.........845...6.1..3...7........
.......12......3.4......56......1.....2678....94.........895...6.1..3...7........
.......12......3.4......56......1.....2678....94.........985...6...4....7.1......
.......12......3.4......56......1.....2678...59..........497.....85.....1.6......
.......12......3.4......56......1.....2786....49.........458...6...9....7.1......
.......12......3.4......56......1.....2786....49.........574...6..9.....8.1......
.......12......3.4......56......1.....2786....94.........579...6..4.....8.1......
.......12......3.4......56......1.....2786....94.........597...6..4.....8.1......
.......12......3.4......56......1.....2786...59..........498.....65.....1.7......
.......12......3.4......56......1.....3.......47.56...1..4.....5..3.....86.9.2...
.......12......3.4......56......1.....3..6....47.2....1...7....2..34....89..5....
.......12......3.4......56......1.....3..6....5437.......538...1..4.....9.6......
.......12......3.4......56......1.....3..6....74.2....1...5....2..37....89..4....
.......12......3.4......56......1.....3..6....74.2....16.8.....2..73....8....5...
.......12......3.4......56......1.....3..6....74.2....16.8.5...2..74....8........
.......12......3.4......56......1.....3..6...254......1...7....8..35....92.4.....
.......12......3.4......56......1.....3..7....48.2....1...9....67..8....9..34....
.......12......3.4......56......1.....3..7....48.2....17.9.....2..43....5....6...
.......12......3.4......56......1.....3..7....84.2....1...9....67..4....9..38....
.......12......3.4......56......1.....3.24...675.........68.....2.......147..9...
.......12......3.4......56......1.....3.26....54......1..7.....8..53....92..4....
.......12......3.4......56......1.....3.26....74......1..5.....8..73....92..4....
.......12......3.4......56......1.....3.27....18..9......61....294......5..8.....
.......12......3.4......56......1.....3.56....47......1...4....2..83....86..7....
.......12......3.4......56......1.....3.56....47......1...4....2..87....8.9.3....
.......12......3.4......56......1.....3.56....47......16...2...2....5...8..43....
.......12......3.4......56......1.....3.56....47......16...5...5....8...9..43....
.......12......3.4......56......1.....3.56....47......16...8...2..43....8....5...
.......12......3.4......56......1.....3.56....74......1...7....2..84....8.9.3....
.......12......3.4......56......1.....3.56....74......1...7....2.893....9...4....
.......12......3.4......56......1.....3.56....74......16...2...2....5...8..73....
.......12......3.4......56......1.....3.56....74......16...5...5....8...9..73....
.......12......3.4......56......1.....3.56....74......16...8...2..73....8....5...
.......12......3.4......56......1.....3.56...478.........7.2.....6..4...519......
.......12......3.4......56......1.....3.57....48.2.......47....126......9..6.....
.......12......3.4......56......1.....3.57....84........7835...2....6...94.......
.......12......3.4......56......1.....3.6.....47.2....16.8.....2..3.5...8..9.....
.......12......3.4......56......1.....3.6.....47.5....1..3.....5..8.....86.9.2...
.......12......3.4......56......1.....3.6.....74.2....16.8.....2..3.5...8..9.....
.......12......3.4......56......1.....3.65....47......1...4....2..83....85..7....
.......12......3.4......56......1.....3.65....47......1...4....2..87....8.9.3....
.......12......3.4......56......1.....3.65....47......1...4....2.683....8...7....
.......12......3.4......56......1.....3.65....47......1...4....2.893....9...7....
.......12......3.4......56......1.....3.65....47......1..84....25..3....8...7....
.......12......3.4......56......1.....3.65....74......1...7....2..84....8.9.3....
.......12......3.4......56......1.....3.65....74......15.8.9...6..73....9........
.......12......3.4......56......1.....3.65...247.........2.8.....5..4...169......
.......12......3.4......56......1.....3.65...247.........48....516.9....7........
.......12......3.4......56......1.....3.65...278.........74....516.9....8........
.......12......3.4......56......1.....3.65...472.........48......7......156.3....
.......12......3.4......56......1.....3.65...478.........7.2.....5..4...619......
.......12......3.4......56......1.....3.65...782.........74......8......156.3....
.......12......3.4......56......1.....3.67....45......1..8.....29..3....8..45....
.......12......3.4......56......1.....3.67....48......5...8....6..34....72..9....
.......12......3.4......56......1.....3.67...248.........45....716.9....8........
.......12......3.4......56......1.....3.67...258.........54....716.9....8........
.......12......3.4......56......1.....3.67...458.........5.2...619......7....4...
.......12......3.4......56......1.....3.67...482.........45......8......176.9....
.......12......3.4......56......1.....3.67...892.........85......6......179.3....
.......12......3.4......56......1.....3.67...892.........85......6......179.4....
.......12......3.4......56......1.....3.7.....86..2....7.5.....1..6.....92.84....
.......12......3.4......56......1.....3.72....48......1...3....6..94....7.58.....
.......12......3.4......56......1.....3.72....48......1...3....6.58.....7..94....
.......12......3.4......56......1.....3.75....48......1...4....2..39....96..8....
.......12......3.4......56......1.....3.75....48......1...4....2..93....95..8....
.......12......3.4......56......1.....3.75....48......1...4....2.793....9...8....
.......12......3.4......56......1.....3.75....48......1..9.....26..3....9..48....
.......12......3.4......56......1.....3.75....48......1..94....25..3....9...8....
.......12......3.4......56......1.....3.75....48.2....15.6.....2....9...9..8.....
.......12......3.4......56......1.....3.75....84......1...3....6.24.....7..98....
.......12......3.4......56......1.....3.75....84......1...8....2..94....9.6.3....
.......12......3.4......56......1.....3.76....24......5..24....6..8.....79..3....
.......12......3.4......56......1.....3.76....24......5..42....6..8.....79..3....
.......12......3.4......56......1.....3.76....24......58..3....6..9.....7..24....
.......12......3.4......56......1.....3.76....24......58..3....6..9.....7..42....
.......12......3.4......56......1.....3.76....24......6..8.....7..24....95..3....
.......12......3.4......56......1.....3.76....24......6..8.....7..42....95..3....
.......12......3.4......56......1.....3.76....24......6..8.....75..3....9..24....
.......12......3.4......56......1.....3.76....24......6..8.....75..3....9..42....
.......12......3.4......56......1.....3.76....42......5..24....6..8.....79..3....
.......12......3.4......56......1.....3.76....42......5..42....6..8.....79..3....
.......12......3.4......56......1.....3.76....42......58..3....6..9.....7..24....
.......12......3.4......56......1.....3.76....42......58..3....6..9.....7..42....
.......12......3.4......56......1.....3.76....42......6..8.....7..24....95..3....
.......12......3.4......56......1.....3.76....42......6..8.....7..42....95..3....
.......12......3.4......56......1.....3.76....42......6..8.....75..3....9..24....
.......12......3.4......56......1.....3.76....42......6..8.....75..3....9..42....
.......12......3.4......56......1.....3.76....48......1...4....2.793....9...8....
.......12......3.4......56......1.....3.76....48......1...8....2..34....79..5....
.......12......3.4......56......1.....3.76....48......19..4....5..8.....7..93....
.......12......3.4......56......1.....3.76....48......5...3....62.4.....7..98....
.......12......3.4......56......1.....3.76....48......5...3....62.9.....7..84....
.......12......3.4......56......1.....3.76....48......5...8....62.4.....7..93....
.......12......3.4......56......1.....3.76....48......6..2.....7..48....95..3....
.......12......3.4......56......1.....3.76....48......6..2.....7..84....95..3....
.......12......3.4......56......1.....3.76....48.5....1..2.....6..8.9...95.......
.......12......3.4......56......1.....3.76....48.5....1..8.9...6..2.....95.......
.......12......3.4......56......1.....3.76....54......1..5.....2..83....79..4....
.......12......3.4......56......1.....3.76....54......1..8.....2..53....79..4....
.......12......3.4......56......1.....3.76....84......1...5....2..38....79..4....
.......12......3.4......56......1.....3.76....84......19.8.2...5........7..93....
.......12......3.4......56......1.....3.76....84......5...8....62.4.....7..93....
.......12......3.4......56......1.....3.76....84......6..2.....7..48....95..3....
.......12......3.4......56......1.....3.76....84......6..2.....7..84....95..3....
.......12......3.4......56......1.....3.76...895.........8.2....6..1....179......
.......12......3.4......56......1.....3.78....45......1...4....2..93....98..5....
.......12......3.4......56......1.....3.78....45.2.......48....126......9..6.....
.......12......3.4......56......1.....3.78....46......1..4.....2..93....95..6....
.......12......3.4......56......1.....3.78....54......1...5....2..94....9.6.3....
.......12......3.4......56......1.....3.78....54......1...5....2.693....9...4....
.......12......3.4......56......1.....326.....475........854...2.1......6....7...
.......12......3.4......56......1.....3267....48.........745...2.1......6..8.....
.......12......3.4......56......1.....3267....48.........745...2.1..3...6........
.......12......3.4......56......1.....3267....48.........745...2.1..9...6........
.......12......3.4......56......1.....3276....48.........457...2........6.1.9....
.......12......3.4......56......1.....3276....48.........457...2.1......6...8....
.......12......3.4......56......1.....3276...48..........457.....2.......16.3....
.......12......3.4......56......1.....367.....82.5.......598...6....2...7.1......
.......12......3.4......56......1.....3672....48.........457...2....8...6.1......
.......12......3.4......56......1.....3678....49.........485...6........7.1..3...
.......12......3.4......56......1.....3678....92.........957...6.1......8....2...
.......12......3.4......56......1.....3678....92.........985...6........7.1..3...
.......12......3.4......56......1.....3678....92.........985...6...2....7.1......
.......12......3.4......56......1.....3678....94.........985...6........7.1..3...
.......12......3.4......56......1.....3786....92.........597...6..2.....8.1......
.......12......3.4......56......1.....3786....92.........597...6.14.....8........
.......12......3.4......56......1.....3786...29..........597.....8......1.63.....
.......12......3.4......56......1.....4.......37.25...1..3.....2..4.....85.9.6...
.......12......3.4......56......1.....4.......37.25...1..8.....2..4.....95.3.6...
.......12......3.4......56......1.....4..6....73.5....16.8.....5..74....8....2...
.......12......3.4......56......1.....4..6....73.5....16.8.2...5..73....8........
.......12......3.4......56......1.....4..7....23.8....1...2....5.8.9....9..43....
.......12......3.4......56......1.....4..7....38.5.....8.43....1...8....6.5.9....
.......12......3.4......56......1.....4..7....38.5....1...3....5.649....9...8....
.......12......3.4......56......1.....4..7....83.5......843....1...9....6.5.8....
.......12......3.4......56......1.....4..7....83.5.....3.48....1...3....6.5.9....
.......12......3.4......56......1.....4..7....83.5....1...3....67..9....9..48....
.......12......3.4......56......1.....4..7....83.5....1...3....67.1.....9..48....
.......12......3.4......56......1.....4..7....83.5....1...8....6.549....9...3....
.......12......3.4......56......1.....4..7....83.5....1.2.9....6...8....9..43....
.......12......3.4......56......1.....4.2.....23..7...1..2.....5.68.....8..43....
.......12......3.4......56......1.....4.2.....23..7...1..2.....5.89.....9..43....
.......12......3.4......56......1.....4.26....37......1...3....5..84....86..7....
.......12......3.4......56......1.....4.26....37......1...3....5..87....8.9.4....
.......12......3.4......56......1.....4.26....37......16...2...2....8...9..34....
.......12......3.4......56......1.....4.26....37......16...5...5....2...8..34....
.......12......3.4......56......1.....4.26....37......16...8...5..34....8....2...
.......12......3.4......56......1.....4.26....73......1...7....5..83....8.9.4....
.......12......3.4......56......1.....4.26....73......1...7....5.894....9...3....
.......12......3.4......56......1.....4.26....73......16...2...2....8...9..74....
.......12......3.4......56......1.....4.26....73......16...5...5....2...8..74....
.......12......3.4......56......1.....4.26....73......16...8...5..74....8....2...
.......12......3.4......56......1.....4.27....23......1..2.....5.68.....8..34....
.......12......3.4......56......1.....4.27....23......1..2.....5.89.....9..34....
.......12......3.4......56......1.....4.27....38......1...8....57.1.....9..43....
.......12......3.4......56......1.....4.27....38......1..43....57.1.....9...8....
.......12......3.4......56......1.....4.27....83......16.......5...9....9..385...
.......12......3.4......56......1.....4.6.....37.2....1..4.....2..8.....86.9.5...
.......12......3.4......56......1.....4.6.....37.5....16.8.....5..4.2...8..9.....
.......12......3.4......56......1.....4.6.....73.5....16.8.....5..4.2...8..9.....
.......12......3.4......56......1.....4.62....37......1...3....5..84....89..7....
.......12......3.4......56......1.....4.62....73......1........5..84....86.3.5...
.......12......3.4......56......1.....4.62...785.........7.3....2..5....196......
.......12......3.4......56......1.....4.65....73......15...6...6..7.8...9..4.....
.......12......3.4......56......1.....4.65...372.........38......6......157.9....
.......12......3.4......56......1.....4.67....32......1...2....57.1.....8..43....
.......12......3.4......56......1.....4.67...385.........2.3....7.5.....168......
.......12......3.4......56......1.....4.67...389.......5.34.....7..8....21.......
.......12......3.4......56......1.....4.67...892.........83......6......179..2...
.......12......3.4......56......1.....4.67...892.........85......6......179.3....
.......12......3.4......56......1.....4.72....38......1...3....5..94....96..8....
.......12......3.4......56......1.....4.72....38......1...4....67.9.....9..83....
.......12......3.4......56......1.....4.72....38......1..9.....56..4....9..38....
.......12......3.4......56......1.....4.72....38......1.7......5..9.....9..345...
.......12......3.4......56......1.....4.72....83......16.......5...9....9..385...
.......12......3.4......56......1.....4.76....23......5..24....6..8.....79..3....
.......12......3.4......56......1.....4.76....23......6..8.....75..3....9..24....
.......12......3.4......56......1.....4.76....35......1..3.....2..85....79..4....
.......12......3.4......56......1.....4.76....38......1...3....5.794....9...8....
.......12......3.4......56......1.....4.76....38......15.9.....2...4....7..83....
.......12......3.4......56......1.....4.76....38......6..3.....7..94....9.2.8....
.......12......3.4......56......1.....4.76....38......6..3.....7..98....9.2.4....
.......12......3.4......56......1.....4.76....53......1..5.....2..83....79..4....
.......12......3.4......56......1.....4.76....83......1...4....57.9.....9..38....
.......12......3.4......56......1.....4.76....83......1..5.....7..382...9.6......
.......12......3.4......56......1.....4.76....83......6..8.....7..93....9.2.4....
.......12......3.4......56......1.....4.76....83......6..8.....7..94....9.2.3....
.......12......3.4......56......1.....4.76...895.........8.2....6..1....179......
.......12......3.4......56......1.....4.78....23......1...2....5.6.9....9..43....
.......12......3.4......56......1.....4.78....23......1...3....5...9....98.42....
.......12......3.4......56......1.....4.78....32......1...2....58..9....9..43....
.......12......3.4......56......1.....4.78....32......1...2....58.1.....9..43....
.......12......3.4......56......1.....4.78....32......1...3....5..49....98..2....
.......12......3.4......56......1.....4.78....32......1...3....5.749....9...2....
.......12......3.4......56......1.....4.78....32......18.4.....5...3....9...25...
.......12......3.4......56......1.....4.78....39..4...17.......2..59....5...6....
.......12......3.4......56......1.....4276....35.........83....1.6..2...92.......
.......12......3.4......56......1.....4276....53.........85....1.6..2...92.......
.......12......3.4......56......1.....4276....85.........98....1.6..2...32.......
.......12......3.4......56......1.....467.....82.5.......598...6....2...7.1......
.......12......3.4......56......1.....4678....59.........924...6..3.....7.1......
.......12......3.4......56......1.....4678....92.........957...6.1......8....2...
.......12......3.4......56......1.....4678....92.........985...6...2....7.1......
.......12......3.4......56......1.....4786....92.........597...6..2.....8.1......
.......12......3.4......56......1.....4786....92.........597...6.13.....8........
.......12......3.4......56......1.....4786....93.........294...6...5....71.......
.......12......3.4......56......1.....4786...29..........397.....8......1.65.....
.......12......3.4......56......1.....4786...29..........597.....8......1.64.....
.......12......3.4......56......1.....5.24....17..8......65....48.7.....9.2......
.......12......3.4......56......1.....5.24....67......2..67....4..8.....93..5....
.......12......3.4......56......1.....5.24....67......2..76....4..8.....93..5....
.......12......3.4......56......1.....5.24....67......23..5....4..8.....9..67....
.......12......3.4......56......1.....5.24....67......23..5....4..8.....9..76....
.......12......3.4......56......1.....5.24....76......2..67....4..8.....93..5....
.......12......3.4......56......1.....5.24....76......2..67....41.8.9...9........
.......12......3.4......56......1.....5.24....76......2..76....4..8.....93..5....
.......12......3.4......56......1.....5.24....76......23..5....4..8.....9..67....
.......12......3.4......56......1.....5.24....76......23..5....4..8.....9..76....
.......12......3.4......56......1.....5.24...673.........68.....2.4.....147......
.......12......3.4......56......1.....5.27....64......1..6.....2.384....9..5.....
.......12......3.4......56......1.....5.27....64......17.8.....2..5.....8..6.9...
.......12......3.4......56......1.....5.37....43.2.......47....126......8..6.....
.......12......3.4......56......1.....5.6.....73..2....2.48....16.7.....9..3.....
.......12......3.4......56......1.....5.6.....73..2....2.84....16.7.....9..3.....
.......12......3.4......56......1.....5.6.....74.2.....2.7.3...1..4.....86.9.....
.......12......3.4......56......1.....5.6.....74.2.....2.7.8...16.3.....9..4.....
.......12......3.4......56......1.....5.6.....74.2.....2.8.3...1..4.....96.7.....
.......12......3.4......56......1.....5.6.....74.2.....2.8.3...16.7.....9..4.....
.......12......3.4......56......1.....5.63...478.........7.2.....3..4...619......
.......12......3.4......56......1.....5.63...784.........7.2.....3..4...169......
.......12......3.4......56......1.....5.63...784.........72......3.4....169......
.......12......3.4......56......1.....5.7.....83..2....2.89....17.4.....6..3.....
.......12......3.4......56......1.....5.74....86......2..96....4..8.....73..5....
.......12......3.4......56......1.....5.74....86......23..5....4..6.....7..98....
.......12......3.4......56......1.....5.74....86......23..5....4..8.....7..96....
.......12......3.4......56......1.....5.78....34..2......32....176......8..9.....
.......12......3.4......56......1.....5.78....64.2....18.3.....2....9...9..4.....
.......12......3.4......56......1.....5678...39..........497.....83.....1.6......
.......12......3.4......56......1.....5678...49..........893.....7......1.6..5...
.......12......3.4......56......1.....5678...49..........937.....8.4....1.6......
.......12......3.4......56......1.....5786...39..........34.....16..7...8.7......
.......12......3.4......56......1.....5786...39..........498.....63.....1.7......
.......12......3.4......56......1.....5786...49..........39......7......1.65.7...
.......12......3.4......56......1.....5786...49..........398.....7......1.6.2....
.......12......3.4......56......1.....6.24....57......1...5....3..87....8.9.6....
.......12......3.4......56......1.....6.24....75......1...7....3..85....8.9.6....
.......12......3.4......56......1.....6.24....75......14...2...2....8...9..76....
.......12......3.4......56......1.....6.24...378.........75....412.9....8........
.......12......3.4......56......1.....6.24...783.........75......8......142.9....
.......12......3.4......56......1.....6.27....58......1..5.....34.98....9...6....
.......12......3.4......56......1.....6.5.....74..2....2.78....1..4.....95.3.....
.......12......3.4......56......1.....6.7.....54.2.....2.3.8...17.5.....9..4.....
.......12......3.4......56......1.....6.7.....54.2.....2.8.3...17.5.....9..4.....
.......12......3.4......56......1.....6.7.....83.2.....2.9.4...17.8.....5..3.....
.......12......3.4......56......1.....6.72....58......1..5.....34.98....9...6....
.......12......3.4......56......1.....6.74....85......1...8....3..95....9.2.6....
.......12......3.4......56......1.....6.78....89..2....2.34....17.......5..9.....
.......12......3.4......56......1.....6274....35.........83....1.4..2...92.......
.......12......3.4......56......1.....6274....53.........85....1.4..2...92.......
.......12......3.4......56......1.....6274....83.........98....1.4..2...52.......
.......12......3.4......56......1.....7.24...683.........69.....2.4.....148......
.......12......3.4......56......1.....7.68...35...4......57....1..6.....968......
.......12......3.4......56......1.....7.82....16..3...25.......3..95....8..6.....
.......12......3.4......56......1.....7.89....34..2......32....186......9..5.....
.......12......3.4......56......1.....7.89....34.2.......3.2...186......9..5.....
.......12......3.4......56......1.....7896....35.........23....1.6..8...48.......
.......12......3.4......56......1.....7896....45.........24....1.6..8...38.......
.......12......3.4......56......1.....7896....53.........25....1.6..8...48.......
.......12......3.4......56......1....12.67...38...5.....64.......7......5..38....
.......12......3.4......56......1....12.76...3.4.........5.3....6.4.....871......
.......12......3.4......56......1....17.24...5.8.........35.....4.8.....921......
.......12......3.4......56......1....17.58...3.9..6......49.....8.......65.3.....
.......12......3.4......56......1....17.68...29.........534......69.....7.8......
.......12......3.4......56......1....27.38...6.3..4......67.....8.5.....49.......
.......12......3.4......56......1....37..6...54.........1.7......835....2.94.....
.......12......3.4......56......1....37.42...6.8..9......68.....2.5.....94.......
.......12......3.4......56......7.....1..2....56.81......93....4.2......73.4.....
.......12......3.4......56......7.....1..2....68.51......93....4.2......73.4.....
.......12......3.4......56......7.....1..2....85.61......93....4.2......7..4.5...
.......12......3.4......56......7.....1..3....28.4....4..21....6....5...73.9.....
.......12......3.4......56......7.....1..3....82.4....4..81....5....6...73.5.....
.......12......3.4......56......7.....1..4....8356.......859...2.4......7..3.....
.......12......3.4......56......7.....1..5....28.61......94....3.5......74.3.....
.......12......3.4......56......7.....1..5....82.4....35.7.....7...2....9..18....
.......12......3.4......56......7.....1.3.....85..4....3.6.....7..5.....94.82....
.......12......3.4......56......7.....1.34....82......3..1.....7..58....94.2.....
.......12......3.4......56......7.....1.35...896.........8.4....5..7....739......
.......12......3.4......56......7.....1.35...896.........84.....3..7....759......
.......12......3.4......56......7.....1.35...896.........84.....3.5.....759......
.......12......3.4......56......7.....1.36....28......4..91....7...2....95..8....
.......12......3.4......56......7.....1.36....28......46.7.....7...8....9..12....
.......12......3.4......56......7.....1.4.....86..3....3.89....2..6.....74.5.....
.......12......3.4......56......7.....1.43....25......4..1.....7..82....93.5.....
.......12......3.4......56......7.....1.5.....23.6....6..8.4...75.9.....9..1.....
.......12......3.4......56......7.....1.5.....43.86...65.......7..2.9...8..1.....
.......12......3.4......56......7.....1.5.....43.86...65.......7..9.2...8..1.....
.......12......3.4......56......7.....1.53....82......45.9.....7...1....9..28....
.......12......3.4......56......7.....1.53...284.........62.....3.4.....758......
.......12......3.4......56......7.....1.53...894.........8.6....3..7....759......
.......12......3.4......56......7.....1.53...894.........86.....5..7....739......
.......12......3.4......56......7.....1.53...894.........86.....5.3.....739......
.......12......3.4......56......7.....1.56....28......35.9.....7...1....9..82....
.......12......3.4......56......7.....1.56....28......46.7.....7...8....9..12....
.......12......3.4......56......7.....1.58....26......43..1....7..9.....9..26....
.......12......3.4......56......7.....1.6.....23.5.....5.4.8...76.2.....9..3.....
.......12......3.4......56......7.....1.6.....23.5.....5.8.4...76.2.....9..3.....
.......12......3.4......56......7.....1.6.....84.5.....5.9.3...2..4.....76.8.....
.......12......3.4......56......7.....1.65....28......45.7.....7...8....9..12....
.......12......3.4......56......7.....1.65....28......45.7.....7..12....9...8....
.......12......3.4......56......7.....1.68....89..5....5.43....2..9.....76.......
.......12......3.4......56......7.....1.83....26......4..91....7...2....93..6....
.......12......3.4......56......7.....1.83....29.4....3..6.....54.......7..9.5...
.......12......3.4......56......7.....1.83....29.4....3..9.5...54.......7..6.....
.......12......3.4......56......7.....1.84....25.3....3....9...74.6.....9..5.....
.......12......3.4......56......7.....1.84....52..3...3..5.6...74.......8..1.....
.......12......3.4......56......7.....1.84....52..3...3..5.9...74.......8..1.....
.......12......3.4......56......7.....1385....26..........24...3..6.....875......
.......12......3.4......56......7.....1482....56..........53...4..6.....872......
.......12......3.4......56......7.....1482....65..........63...4..5.....872......
.......12......3.4......56......7.....7124...36..........56......43.....782......
.......12......3.4......56......7.....7142...36..........65......2.3....784......
.......12......3.4......56......7.....7162...45..........34......15.....876......
.......12......3.4......56......7.....8..1....34.28......95....6.1......75.6.....
.......12......3.4......56......7.....8..1....35.28......95....641......7..6.....
.......12......3.4......56......7.....8..1....43.28......95....651......7..6.....
.......12......3.4......56......7.....8..1....45.28......95....631......7..6.....
.......12......3.4......56......7.....8.16...395.........23.....6.5.....719......
.......12......3.4......56......7.....8.19....34.2.......3.2...716......9..5.....
.......12......3.4......56......7.....8142....59.........5.3...172......4...9....
.......12......3.4......56......7.....8142....95.........9.3...172......4...5....
.......12......3.4......56......7.....8196....35.........23....41.......7.6..1...
.......12......3.4......56......7.....8196....45..........42...1..5.....976......
.......12......3.4......56......7.....8196....45.........24....31.......7.6..1...
.......12......3.4......56......7.....8196....53.........25....41.......7.6..1...
.......12......3.4......56......7....12......7.4.35......61....387......5..2.....
.......12......3.4......56......7....14......7.2.35......61....387......5..4.....
.......12......3.4......56......7....14......7.8.35......61....397......5..4.....
.......12......3.4......56.....12.....147....68..........5.8.....23.....194......
.......12......3.4......56.....12.....167....48..........3.8.....25.....196......
.......12......3.4......56.....12.....3.6....785.........7.3.....745....92.......
.......12......3.4......56.....12.....34.7....56.......1.8.....52.......8..96....
.......12......3.4......56.....12.....347.....56.......2.8.....51.......8..9.6...
.......12......3.4......56.....12.....36.....578.........537....2...8...19.......
.......12......3.4......56.....12.....36.....578.........573....1..8....29.......
.......12......3.4......56.....12.....4.7.....83......1..8.....6..9.4...95...3...
.......12......3.4......56.....12.....7..4...583.........57......56.3...91.......
.......12......3.4......56.....12.....74.8...69..........59......23.....478......
.......12......3.4......56.....12.....74.8...69..........59......83.....472......
.......12......3.4......56.....12.....748....69..........5.9.....23.....478......
.......12......3.4......56.....12....35..7...8.9.........35.....6.8.....294......
.......12......3.4......56.....12....37......5.8..6......658....9.3.....42.......
.......12......3.4......56.....12....37......5.8..6......685....9.3.....42.......
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.......12......3.4......56.....13.....2.5....478.........92....16.......8..7.4...
.......12......3.4......56.....13.....7..6...248.........18.....9..2....35.9.....
.......12......3.4......56.....13....27..8...4.9..6......19....53.......6..2.....
.......12......3.4......56.....14.....3..2....47..8....2.6.....1..75....98.......
.......12......3.4......56.....14.....3..2...578.........37....61.......9..8.5...
.......12......3.4......56.....14.....3..7....48..2....2.6.....1..85....97.......
.......12......3.4......56.....14.....3.2.....78.......1.9.6...4..8.....92.5.....
.......12......3.4......56.....14.....5..7...48...3......68....3..5.....957......
.......12......3.4......56.....14.....5.2.....73.6.......7.2...41.......8.69.....
.......12......3.4......56.....14.....5.2.....76......2..5.....41.8.....8..9.3...
.......12......3.4......56.....14.....7..8....39..2....2.65....14.......8..7.....
.......12......3.4......56.....14.....7.2....3587........4.8....9...3...16.......
.......12......3.4......56.....14....37......5.6..8......856....9.3.....24.......
.......12......3.4......56.....14....37......5.6..8......865....9.3.....24.......
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.......12......3.4......56.....16.....1.7....238.......6.8.....5..4.2...79.......
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.......12......3.4......56.....16.....2..7...358.........39.....164.....78.......
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.......12......3.4......56.....16....14.7....28.........68.....5..3.4...9.7......
.......12......3.4......56.....17.....3..2....78..4....2.5.....1..86....94.......
.......12......3.4......56.....17.....3..4....78..2....2.5.....1..86....94.......
.......12......3.4......56.....17.....3.6....589.........9.4.....835....27.......
.......12......3.4......56.....17.....4.6.....83........8924...5..8.....73.......
.......12......3.4......56.....17.....8..6....43.2....17..9....2..5.....9..8.....

Edit: fixed mislabeling as "part 4"
Last edited by blue on Mon Sep 26, 2022 10:56 am, edited 2 times in total.
blue
 
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Re: How many 1-clue-box and 2-clue-box?

Postby Serg » Mon Sep 26, 2022 9:35 am

Hi, blue!
Thanks for posted puzzles! I'm sure they will be useful in further studies.

Serg
Serg
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