The New Sudoku Players' Forum

[dobrichev]

One minimal puzzle with 338 restrictions, closer to the high-end.

Code: Select all

12..5..8..23.567..1.3.5.789..345.789...4567..1..456.8912.45.7.91..4.6789.23..6..91.34.6..9..3.56..9.2345.7.912...6..91.....78..234...891.3456....2.4.6..91...56789.2.45678...34...89.2...67.9.23..678.12.45....1..4..7.91.34...891.3.5.7..1234.67..123..6.8...34.678.1234.67.91.3.56...1.34...8912..567..123..678912.4...891.3.5.7891...567.91234...8.1..45..891..4...89.2.4.6.891234..7.91...56.8...3..6..912..567...2.45678912......9..3.56.8......67891.3456.8..23.5....12.45.78912345....1..4.67.9..34.6..912..5..89.2..56.89.23.5....1....6..91..45.7..12345...9..3..678.12.45.7.91...5.7..12...67.91234...8..2.4....9123..67...2..5..89.23.56...123.567891234.6..912....7.9..34.6....23.5.7.9....567..12....7891.3.56.8..234.67.91...56789..345.78.


Taking into account that the absolute maximum of the restrictions is 648 - for fully resolved grid - this is more than the half. Equivalent of 42 1/4 vanilla clues.
The lower limit for known puzzles is 92 restrictions. Equivalent of 11 1/2 vanilla clues.

[tarek]

A sukaku with an interesting fish

Code: Select all

+-------------------------------+-------------------------------+-------------------------------+
| 145679    12349    *1234689   | 1346-8    134679-8  123457-8  |*23456789  123469    4-8       |
| 1347      1357      123459    | 23468     1235789   1278      | 23456     3459      123456789 |
|*1246789   12579     23479     | 12345678  126789    2345678   | 234567    2345679   12346789  |
+-------------------------------+-------------------------------+-------------------------------+
|*1245689   246       124567    | 1245689   245678    24567     | 1234569   2469      12345678  |
|*38        1345679   13456     | 12345789  137       12578     | 4567      145679    124678    |
| 234567   *1345689  *123456789 |12345679-8 12456-8   12459-8   |*1246789   456       124567-8  |
+-------------------------------+-------------------------------+-------------------------------+
| 1234679-8  123456789 13578    | 12456789  138       245679    | 1569      235689    249       |
| 1234679-8  123579    345789   | 2346789   1235678   2346789   | 145679    13579     23467     |
| 235679-8   145679    12367    | 1235678   1346      123456789 | 234579    12345789  1245      |
+-------------------------------+-------------------------------+-------------------------------+
Mutant Swordfish 8c7b14\r16c1 r16c4569, r789c1 <>8

Original Puzzle: Show

Code: Select all

1..4567891234....91234.6.891.34.6.8.1.34.678912345.78..234567891234.6..9...4...8.1.34..7..1.3.5.7..12345...9.234.6.8.123.5.78912....78..23456.....345...912345678912.4.678912..5.7.9.234..7.912345678.12...6789.2345678..234567...234567.91234.678912.456.89.2.4.6...12.4567..12.456.89.2.456789.2.4567..123456..9.2.4.6..912345678...3....8.1.34567.91.3456...12345.7891.3...7.912..5.78...34567..1.34567.91234.678..2345678.1.3456.8912345678912345678912.456.8912.45..891234.6789..3456...12345678.1234.67891234567891.3.5.78.12.4567891.3....89.2.4567.91...56.89.23.56.89.2.4...891234.6789123.5.7.9..345.789.234.6789123.56789.234.67891..4567891.3.5.7.9.234.678..23.567891..4567.9123..67..123.5678.1.34.6..9123456789.2345.78912345.78912.45..8.
+-------------------------------+-------------------------------+-------------------------------+
| 1456789   12349     1234689   | 13468     1346789   1234578   | 23456789  123469    48        |
| 1347      1357      123459    | 23468     1235789   1278      | 23456     3459      123456789 |
| 1246789   12579     23479     | 12345678  126789    2345678   | 234567    2345679   12346789  |
+-------------------------------+-------------------------------+-------------------------------+
| 1245689   246       124567    | 1245689   2456789   24567     | 1234569   2469      12345678  |
| 38        1345679   13456     | 12345789  1379      12578     | 34567     1345679   1234678   |
| 2345678   1345689   123456789 | 123456789 1245689   124589    | 12346789  3456      12345678  |
+-------------------------------+-------------------------------+-------------------------------+
| 12346789  123456789 13578     | 12456789  1389      245679    | 15689     235689    2489      |
| 12346789  123579    345789    | 2346789   12356789  2346789   | 1456789   13579     234678    |
| 2356789   145679    12367     | 1235678   13469     123456789 | 2345789   12345789  12458     |
+-------------------------------+-------------------------------+-------------------------------+

[yzfwsf]

My solver find this one

Hidden Text: Show

Code: Select all

.---------------------------------.---------------------------------.---------------------------------.
|  15679      1239       123689   |  1368       136789     123578   |  2356789    12369      4        |
|  1347       1357       123459   |  23468      1235789    1278     |  2356       359        12356789 |
|  1246789    12579      23479    |  12345678   126789     2345678  |  23567      235679     1236789  |
:---------------------------------+---------------------------------+---------------------------------:
|  1245689    246        124567   |  1245689    245678     24567    |  1234569    2469       1235678  |
|  38         1345679    13456    |  12345789   137        12578    |  4567       145679     12678    |
|  234567     1345689    123456789|  123456789  124568     124589   |  1246789    456        12567    |
:---------------------------------+---------------------------------+---------------------------------:
|  1234679    123456789  13578    |  12456789   138        245679   |  1569       235689     29       |
|  1234679    123579     345789   |  2346789    1235678    2346789  |  145679     13579      2367     |
|  235679     145679     12367    |  1235678    1346       123456789|  234579     12345789   125      |
'---------------------------------'---------------------------------'---------------------------------'

BTW:Experts, please ask how to control the difficulty of the generated sukaku puzzle. Sometimes skfr can't score or even crash the program, so now it's impossible to use skfr control.

fish.png (30.17 KiB) Viewed 1335 times

[m_b_metcalf]

My solver find this one

Could you please publish it also in line mode?

Thanks,

Mike

[1to9only]

My solver find this one

Could you please publish it also in line mode?

Thanks,

Mike

i think this is (part solved) from the puzzle one post earlier, by tarek - unhide for the original puzzle.

[m_b_metcalf]

i think this is the same puzzle from one post earlier, by tarek - unhide for the original puzzle.

Ah, yes, you're right. Thanks.

[tarek]

BTW:Experts, please ask how to control the difficulty of the generated sukaku puzzle. Sometimes skfr can't score or even crash the program, so now it's impossible to use skfr control.

Unfortunately the Sukakus can be very difficult/slow to validate. if you have a quick way to validate the single solution, then curtailing the rating process to generate a new puzzle if you exceed the desired rating is best.
With the PM space being huge compared to vanilla, The time required to rate puzzles is expected to be longer.

tarek

[rjamil]

Hi all,

Wish to inform that, after few quick fixes, now my RJSukaku.c bulk Sukaku puzzle solver now able to solve all puzzles posted in this topic/thread (including Tarek's Easy #01, Easy #02 & Easy #03) up to first solution.

Hidden Text: Show

1.3.....9.23..6789.23456789123456789.23456.89123.567....3...78912345..8....45..8912.45...9.23.5.7.9.23.5678912.456...12345..8...3..6..912.45678..2345.7..1.3..6.891234567..1234567891.3.5.7891..4567.91.345..8912345.7891.345.7.9..34567.91..4..7..12.4...8..2....78912.456....23.567..1234.6.8912....789123.5..8..2345678...3456...123456789.2345.7..12.4..7...2.4...89..34.....123456....23..6789123.56..9.234....9.2..567...23456.89.2.4.678.1.3.5..89.234.678.12.4.678...345.7...23..6.89123.56...12.4.6789..34.6..9123456789..3..67891.345678.1234.6.8.1..4...891.3456.8....45.7..12.45678.123.....91..456.89.23.....9..3456.89..3.56...1234567.9123456.8912....78912.4567891..4567.912.45678.1.345678..234..7891.3456..912345.7.9.2.45.7..1.345678.#kjhsdlkjd
12..5.7...234..7.912.4..7.9.2.4.6.8.12.4567.91..456.8.....5.7.9..3.5.7..1.345..8.1.3.567.912.456789...4567....3.5678..23.56....2..56789.2.456..9.234.......3.567.9.234...8.12..56...123.5678.12.4..78...345.7891..4..7.9...4567.91.34.....12...6789123.56789...4567.9..3.56...1.3....8..2.456...1234...8912.4567..1.3....8.12.4.67..1234.6.8.1.34.67.9..34.67.9.2.4.6.8.1...5678.1234.67891234.6789......78.123456....2..5.78.12...6.8...34.6789....56.8912345678....45..8.1234567.......67.912.45.789.234567...2.4.678.12.45..8.1.......91.34567891234.6.89.23.5..8..2345..8912...67.9..3...78.1....6.891..456.891234567891234.678..2..5.78.12...6...123456.89..3.5..891.3.56.8.1.34..7.91.34...891.3...789..3456.8...3.56.891234..78......67...23.5678.#lsdkkjkjdngdf
.23.5678912.45678.12..5.7..1.345..8.1.3..6789123..6.89...4567.91..456789..3.5678.1.3..6789.......8912.456...1.3.5.7.9123456..9...456.....3.5..89....5...9123..67891..4.678..2.4.6...123..6...123.56.8912.4.6..91.34...8..2.4.6789..3.56.89..34..7..1234567.912..56.8..2345.789..34.67891..4.678..2.45..8912.....89.23.5..891.3456.8..23.56.8.12..5678912..5.7...23..6....2..5..8.1234...891.3.56..9...4.67891..4....91.34....912.4.6.891.3.56.891.34.6..9123...7.91...5678.123..678.123..6.89123456.8..234.67.9123.5..8.123.5.78....4.678.123456.89.2..56..9123.5.78.1.345..8...34.678..234.67891.34..7891...5....1234567891.34567...234.6789..3...7..123.567.9123.5..89.23....89.234.6.891.3.5.789.234..78.1.3.56..91234.67.91.3456..9.2.456789.2345.78.
123...7..12..56.....3..6789.2..5.789...4..789...456..91....67.9.2345.7..1.34...8..2.456...1.34...89..345...91.3.56.....3..67.912.4..7...2.4..78.....5.789123..6.8..23.5..8..2.4..78912...67...2.4...8912345.7..1.34.6.8...3456..9...456.8.12....7.91...56..9.2..5.78...345.7..1..45678...345...9.23.56....234.6.89123..6...1..4.6789..3..67.91234...8..2.4...89123..6.......567891...56..9.23.5.7..1..4...89...45.7.91..4.6.891...567...234.678.123...7..12.4...89..345.78.123.5........5.789.....6789.2.4..789..3..678.1..4.6..91.34.6...12.4.6...1.3.5.7......56.8912..56789.2345....123....8....456..912..5678...3.5.7.9.234..7...2...6.891..4..7.91.34...8..23.56.....345.7....3...78912..56....234...891..456.8..2..567891...5.78..23.56..91..45.7..
...4....912........23........3.5.....2..5....1......8...3..6......4..7..1.......9....56.....34...........7.9......78..2.4........4..7..1.....7.........89...45....1......8...3...7......5..8......6..9..3..6...1.......9...4.6....2..5.....23.......2..5.......4.6...1....6...1......8...3...7....3....8..2......9.2......91.3......1.3.......2..5..........7.9...4..7......5...9.2...6.....3..6......45........5..8...34............89......78..2.4.....1....6.....3.5.......4..7..1....6......4...8..2....7.....4.6.....3.5....1...5.....2.4...........7.9.....6.8.1...5.......4..7.......6..9.......891.3...........6.8...34..........67...2..5.......4..7..12.............78..2..5....1..4.....1...5......3....8..2......9....5...9..3....8...3..6...
12.4..78.123456.89.23456..9.23456.8.12.4...8...3.5....123...78912345.7....34567.....4.678912.45678..2345678.1.34....912..56..9123456.89.234567.9.2345...9.23..67..12.456789.2345678..234567.91.3456...12....7...2.4.6.8.1.3..67.91.3..6....234567.91...56.8.123456789...45....1..4.678.123.567.912.45678.1234567891..4567.......678912...67.9123....8..2.45678.1.3.56....234..7.9.23.567....34567891.......9.23456.8..2345.789.2..5..8912.4567.9123..67..123456.89123.5.78912345678.1.3456.89.2345...9123.56789.23.56.891....67..123456.8...3..67891..45.7.9.23.5....123..6.8.12....78..2.4..7891.345.78..2.4567891....6..91.34..7891.34...89.2.456789123.56789123456..91234.67.9.23...78912345.78...3..6.8.12.4.67.9.234..7.91.3456.89...4....912..5.78.
12.4.6...12345678912345.7..12345678.1.34.6.891.34.6...1234.67891.3.5.7.91234567.9.23456....2345...91.34567.9.234567891.3..6...1234.6.89.2345.789..345...91.3.5678912..5.789..345.7891234.6789123.5678..2345..8912345678.12..5.789123.5..89..345..8912.4567.9123456789.234567.912..567891....67.9123456789123..678.1234567.912.45.7.91.345...91234567.912.456..91..45678.1.345.7891234567..123.56.891.3456..912345...912.45.789..34567891....678.12.4567.91..45.7891.34..789123.5.7891234567891234...8912.45.789..3456789.2..5.789.2..567...23.567.912345.7..1234..7891..45.7891.3..67891.34567.9.234.6.8..2.....8..2..56.8.1234...891.3456.8.12345678.1234.6789123456789.2345.78912.45.789.23.5.78.123456.891234.6.89123.5.7.91.....7.91.345.789..3.5.7.9
123.5.7..12..5..89123.5678912..5.78..23.5.7..1234567891.3.56789123.567..12..5678912345678912.4.6789..34.678912345678912345678.123456..91.3456.8912.4.67.9.2.456.89..3.5.789123...7..123.5.789..345.7..12345.78..2345.78.123456789123...7.9123.5678912.4.67..12.45.789.234567.91.34567.9..345678..2.4567891234567..1.3...7.912345678912.4.6.8912345.789.23456.8...345678.1234..78..2345678.1.3456789123......123..6.891.3.56...12345.789.234567891.3.5678912...678.1234.678912345678.123.56789123.56.891.34.678912345.7891.34567.91234567891234567891.34...891.34..7891234567891234567.91.3.567.91234567891..4567.91.34.67891.345678.1234567891.34..7.9123.5.7891234567891.345678.123456789...456...1..45678912345678.12.456.89123456789123.56789123456789
123456.89..3456.891234567891.345..891234.678.1234567891234567891234.6789.2345678912..56.89123456.89123456.8.1..45..891234.678.1234...8.123.5678912345.78912345678.12..56.8912..5678912345678912345..89123..6.8912345678912..567.912.45678912345678912345.78.12345.78.123456.8.1234567891.34.67...234567...2345678912345678912345678.1..456.891.34567891.3456.8.1..45..8912345678912.4567891..4567891..45.7.9123456789123..6...123456789123......123.56.89123..678.123456789123..678912.4.678912...678912.4567891..45.7.91234.678.1234...89123..67891234.678912345678912345678912345.789123456789123456789123456.8.1234567891234.6789.234..78.123456.89...45....12345678.1234567891234567891234567891234.6789123..6..91234.67891234567891234.6.8912345.789
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12.45...9.2..5...9.234567.9.23.567891234567.912.45.78912.4567.9.2..5.7...23.5.7.....45...91234.6789123.5..89.23456..912345....12.4567..123.5.78.1234567.9....567...2345.7891..4567.91....6.8.12.45.789.2..5..8..23.56789..34...8...34567.912..56789..3456789.2.45.789123456..9.23456789....5.7.912.456789123.567...2..567891..45678912345.78912.45.78....456.....3.5...91.3...7.91...5.7.....456....23.56.89123.56789123456..912345..8...3456789123456.891.3.5....12345678.1..456789123.56.8.1234567..1.345..891.34567...2...67..12345.78..2..5..8.123.56.89.2.4....91.3456..9123.5678...34.....123456789.23.5.789..3456.89...4567891..45678.12..5.7891234567891...56.....345.78...3.5..8.1..456..9.23.56.891.3456789.2345.78.1.345678.1...5..8.1...56.89
1.3..678912..5...9123.56..9123.56.89123.5.78912345.78.12345.7...23.5.7..1.34..7891..45...9123456789123.5..89.2..567.9123.5.....2.45.7.9123.5.78.123456789..3.567..1..45.7891..4567.912345.7.9.2.4...891234.6789.2...678..23.567.9..34567.9..3.567891..456789..345..89.2.4.6..9.234567891.3.5.7.912.456789.2.4.67..1...5678...34567891.34567.91..45.7..1234.67891.3.5.7.91234.67891.3.5.7.91234..78.....56..91.34567.91234567...2345...9..34.6.8.123456.891.3.5.7.912345678.1..4.6.8.12..567..123456..912345.7..1.34567..1.345.789.234...8.1234.678912...6.8.1.3.567891.3456..9123.56..9..345.7..1.3456789.23.5.7891.3.56.8.....5.7891.345..8.12..5.7891234567891...56..9123..67.9..3.5.78...3.56789.23.56789123.5.78912.45.7891..45.7891...5..891234..7.9
1.3..67891234..78912345.789123.56789.2..5.78912.45.789123.567891.3..67891.34..789123..67.912.4.....12345.78.1234567.9123.5..8.12345.7...23.56.89.23..6...1234..7.91234567.9123456...12345678.123456...12345..8.1234567..123456.89123456...1234567.91.34567891.345..8912345.78912345678912345678912.456789.23.56789..3.567891...56789..3456..91.34567.9123456789123456.89.2.456.8.12345678..23456.89..3456..91..4567.9123456..912345.7..12345.78.123456.89123456.8912345678.12..56.8912...6..9123.567..1.3456789...45678912.4567891.3456789123.56789...456789.23456789...4567891.34567891.3..6789...4..78.12.45.78.1.3.56789123.5.7891.345.789.23.56789.....6.891.34..789123..67.91234..7.912345.789123.56789123.5..8.12345.78.123.56789123..67.91234..7.9
123456789.23456789.23456789.23456789.23456789.23456789.234567891234567891234567891234567891.34567891.34567891.34567891234567891.34567891.345678912345678912345678912...678912...678912345678912...678912.4.678912.45678912.4.678912...678912...678912.45678912.45678912345678912.45678912.45678912.45678912.45678912.4567891234567891.3.567891.3.567891.3.567891.3.567891.3.567891.3.567891.34567891.3.56789123456789123456789.23456.89.2345..89.23456789.2345..89.23456.89.2345..89.2345.789.2345..89123.567.9123.567.91234567.9123.567.91234567.91234567.91234567891234567.9123.567.912.4.678912.4567891234.678912.4.678912345678912.45678912.45678912.4.67891234.6789123456.891.3456.891.3456.891.3456.89123456.891.3456.891.3456.89123456789123456.89
1.3.5.....2.4.678.12.4567..1.3.5.78..2.4.6.8.1.3.5..89.234...89.2.4.6.891.3.5...9.234.6.8.1.3...7.9.2345...9.2...6.8...3.5.7.9.2.4...8..23..67....3...7.9...4.6.8.1.34.6...12.45.7.912.45...9123456.8.1234567.912.456.8..23.567...23.567.9123456.8.1.3.567.....4.678.12.45678...3.5678..2.4...8.1..45..89.2345..89...4.6.891.345...9.2.4.6.8.1.3.5.7..12345.789.2.4.6...1.3.5.7.9...4.6.8.123.56789..3.5.7.9.2.4.6.8.1...567.912.4.6...12..5678.12..56..9.2...6.8..2345.7...23456.89.234.6.....345.7.9.2.4567891.345.78...345.78..2.456.891.3456789.2.4567891...56.891.3.56.89...4.67.9.2.4.6...1.3...7....34..78..2...6.8.1.3.5.7...2.4...8.1...5678.1.3...7.9.2.4.678.1...5.7.912.4.6.8.12...678.12..5.7.9.2.4.6.8..23.5.7.9..3456.89.234.6.8.....5.7.9#Easy #01
1.3.56789.2..56.8...345678.1.34.67.9...4.67891.34.67.91..456.8912.45..8.1.345.789...45678.123456789..3..678912.45678....456789.234.6.891..4..7891.345678....456.89..3.5678...3..67.9..3..67.9..3..67..1.34.678.1..4...8.1..4..7..1..4..78.12.45..89.23....89123456.8...3..678.12345.7.91.3...789123.567.91..4...89123456.8.123...789.2.4.6.89.23.56.8912...6.891.34.67.91.3.5.7.91.34.67.912.4...8912.45.78.12.4.6.8.123...789.2.45678912...6..91.345.789123...7.91.3.56789.234..7...2.45678912....78.12..56.89.23..6..9..3..6..9.2...6..9.234.67.9..34..7..1.34..7..1.34..7...2345.7..12.456....234567.9123..6..912.4.678.123456....23456.891234..7..123456789.23456...123.567.9.2..56.8912.456..91.34.67.91234.6...1.34.67.9.234567...2.45..8.12345.7.9#Easy #02
12.45..891..45.78.1..45...91..45678912.4567.9.2.456789.23.567...23.56789.2345678.1234.6..912.45...912.45.78.123.56..9123456...1234567....3.567.9.23.567..1234.67..12.45...91234....9..3..678912.45...9.23456....23.56...1..4..789123456....23.567..123456.8912.45.78912.45.....23.567891234567.9123456789.23.567...23.5678912345678.12345.78.12.45.78.12.45.78.12345.7891.34567.9123.56789.23.56.89.23.56.89.23.56789.2345678912345.78...345.78.1234567891.345678912345.78.....56.89123.56.8912.456789..345.78....456789123..6..9...45.78....45678.1...56.891234..7..1....67891...56.89..34.6789..345.78.1.345.7....3456789...4567891..45.789.23.56.891...56.891..4.6789.2345678.12345.78...345.78.123456.8.1.3456.89123456..91...56..9.23.56..912..56.89#Easy #03
..3.5678.1.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345.7..123....891234.678912.4...8.123..6.891........12345.7891234567891234567..12345678.123456.8912345678912345678.123.56.89123456..9123456789.23456789...4.678912.4567891.3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...123456789123.56..91234567.91234..7..123456.891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789123..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.5678.1.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.7891234567891.3...7..1234..78.123..6.891234.678912.4...8.123..6.891........12345.7891234567891234567..12345678.123456.89.2345678912345678.123.56.89123456..9123456789.23456789...4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789123..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...12345678.123.56..91234567.91234..7..1234567891234.6...12345678.1234567891...5678912.456789.2345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.456789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.5678.1.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345.78.123....891234.678912.4..78.123..6.891........12345.7891234567891234567..12345678.123456.89.2345678912345678.123.56.89123456..9123456789.234567891..4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...123456789123.56..91234567.91234..7..123456.891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.5678.1.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.7891234567891.3...7..1234..7..12.....891234.6.8912.4...8.123..6.891........12345.7891234567891234567..12345678.123456.89123456789123456789123.56.89123456.89123456789.234567891..4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...123456789123.56..91234567.912345.7..123456.891234.6...12345678.1234567891...5678912.456789.2345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56.891234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..345678.1.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.7891234567891.3...7..1.34..7..123..6.891234.678912.4..78.123..6.891........12345.7891234567891234567..12345678.123456.8912345678912345678.123.56.89123456.89123456789.23456789...4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...123456789123.56..91234567.912345.7..123456.891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.567891.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345.7..123..6.891234.678912.4..78.123..6.891........12345.7891234567891234567..12345678.123456.8912.45678912345678.123.56.89123456.89123456789.23456789...4.678912.4567891.3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...123456789123.56..91234567.91234..7..123456.891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.567891.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345.7..123..6.891234.678912.4..78.123..6.891........12345.7891234567891234567..12345678.123456.8912.45678912345678.123.56.89123456..9123456789.23456789...4.678912.4567891.3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...12345678.123.56..91234567.91234..7..1234567891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789123..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.567891.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345678.123..6.891234.678912.4..78.123..6.891........12345.7891234567891234567..12345678.123456.89.2345678912345678.123.56.89123456..9123456789.23456789...4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...123456789123.56..91234567.912345.7..123456.891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.5678.1.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345.7..123..6.891234.678912.4..78.123.56.891........12345.7891234567891234567..12345678.123456.8912345678912345678.123.56.89123456.89123456789.23456789...4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...12345678.123.56..91234567.912345.7..1234567891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.567891.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345.7..12...6.891234.678912.4...8.123.56.891........12345.7891234567891234567..12345678.123456.8912345678912345678.123.56.89123456.89123456789.23456789...4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...12345678.123.56..91234567.912345.7..1234567891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789123..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.567891.3456789123456789.23456789...4.678912.4567891234567891.34567891..45.789123.567891.3...7..12345.7..123..6.891234.678912.4...8.123..6.891........12345.7891234567891234567..12345678.123456.8912345678912345678.123.56.89123456..9123456789.234567891..4.678912.4567891.3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...12345678.123.56..91234567.91234..7..1234567891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789123..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.5678.1.3456789123456789.23456789...4.678912.456789.23456789..3456789...45.789123.567891.3...7..12345.7..123....891234.678912.4...8..23..6.89123456789.2345.7891234567891234567..12345678.123456.8912345678912345678..23.56.89.23456..9.23456789.23456789...4.678912.4567891.3.567891.34567891..45.789.234567891..4.678912.456789.23..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...123456789123.56..91234567.91234..7..123456.891234.6...12345678.1234567891...5678912.45678912345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.45.789123..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
..3.5678.1.3456789123456789.23456789...4.678912.456789.23456789..3456789...45.7891234567891.3...7..1234..78.123..6.891234.678912.4...8..23..6.89123456789.2345.7891234567891234567..12345678.123456.89.2345678912345678..23.56.89.23456..9.23456789.23456789...4.678912.456789..3.567891.34567891..45.789.234567891..4.678912.456789123..6.891234.6789123456789123.567891.3...7.912345.789123.567891234.678912.4..78.123456.891234.6...12345678.123.56..91234567.91234..7..1234567891234.6...12345678.1234567891...5678912.456789.2345678912345678.12.45678..23.567891.3456789123456789123.567891.....7.912.456789.23..6.891234.678912.4..78..23.567891.3...7.912345.789123.56..91234567.9123456789123456.891234.6...12345678.1234567891234567.912345.7..
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R. Jamil