Uniquess of Sudoku Puzzles

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Uniquess of Sudoku Puzzles

Postby lyh4828 » Mon Sep 05, 2005 1:34 am

Dear Pappocom

I have started to play Sudoku through a newspaper's introduction about 2weeks ago and was deeply attracted by it. Through the 2 week's playing, I could solve all the puuzles that I played (inculde some tough ones that were raised by some players in this forum) except one (raised by Bernard Stay's Difficult Tues. 12 July on 12 July which I wondered if there was some mistake in the puzzle shown in forum). I believe that the logical techiques that I have deducted in these 2 weeks during my puzzle playing should be able to allow me to solve all the Sudoku puzzles (but not the killer's ones that I still have not played any one yet) provided it is solvable and has an unique solution based on the hints showned regardless its difficult rating. But I still have the following queries :

1. How could you set up a proper Sudoku puzzle, i.e how could you make sure the puzzle is solvable and will have only 1 unique solution? My logical deductions could only allow me to get the answer at the end of the playing, i.e. either get an inique solution and indicates that there will be no solution or more than 1 solution but not able to help me to set up a proper Sudoku puzzle at the beginning before the playing.

2. How could you rate the grade of the diffiuclty of a Sudoku puzzle. Need you to play the puzzle before your rate it? But I don't think so and is surprise how you could rate the grade of the diffiuclty.

Hope that you could satisfy my curiosity because I was addicted to the game. By the way, do you know where could I buy a Sudoku puzzle book in Hong Kong. Our newspapaers provide only 1 puzzle/day here.

Lyh4828
lyh4828
 
Posts: 4
Joined: 03 September 2005

Postby lyh4828 » Mon Sep 05, 2005 1:41 am

Sorry, some typing mistakes. The correct one should be read as follows :

Dear Pappocom

I have started to play Sudoku through a newspaper's introduction about 2weeks ago and was deeply attracted by it. Through the 2 week's playing, I could solve all the puuzles that I played (inculde some tough ones that were raised by some players in this forum) except one (raised by Bernard Stay's Difficult Tues. 12 July on 12 July which I wondered if there was some mistake in the puzzle shown in forum). I believe that the logical techiques that I have deducted in these 2 weeks during my puzzle playing should be able to allow me to solve all the Sudoku puzzles (but not the killer's ones that I still have not played any one yet) provided it is solvable and has an unique solution based on the hints showned regardless its difficult rating. But I still have the following queries :

1. How could you set up a proper Sudoku puzzle, i.e how could you make sure the puzzle is solvable and will have only 1 unique solution? My logical deductions could only allow me to get the answer at the end of the playing, i.e. either get an inique solution or indicates that there will be no solution or more than 1 solution but not able to help me to set up a proper Sudoku puzzle at the beginning before the playing.

2. How could you rate the grade of the diffiuclty of a Sudoku puzzle. Need you to play the puzzle before your rate it? But I don't think so and is surprise how you could rate the grade of the diffiuclty properly and logically.

Hope that you could satisfy my curiosity because I was addicted to the game. By the way, do you know where could I buy a Sudoku puzzle book in Hong Kong? Our newspapaers provide only 1 puzzle/day here.

Lyh4828
lyh4828
 
Posts: 4
Joined: 03 September 2005

Postby Pi » Mon Sep 05, 2005 7:58 am

I don't know for sure but i bnelieve that they are made backwards from a finished article, i made one once but it was really really easy, the difficult ones require knowledge of different techniques and so these i assume are incorporated when they are made.

My puzzle:

**3**6*89
9*617**5*
*572*314*
7**5***64
*14*298**
*8**4*3*2
*6**3*5*7
3***1462*
298******
Pi
 
Posts: 389
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Postby lyh4828 » Mon Sep 05, 2005 4:09 pm

Dear Pi,

Thanks for your nice suggestion and IU really appreciate that. Yes, to work backwords from a finished one a way that we could set up a Sudiku puzzle that should be solvable. But is it really that way that they work right now, I wonder because it is rather clumpsy and tedious. Besides, i still have the following queries :

1. How many and where should we put down the hints to make sure it will lead to a unique solution (if not putting down enough hints and at the proper positions, I just wonder if it will lead to multiple soultions.

2. How could one evaluate or determine the degree of dicfficulty with a proper and reasonable rating?


Pi, could you try Bernard Stay's Tue. July 12 puzzle? I feel that based on what Bernard has reached, there is no unique solution to the puzzle. So, I just wonder if Bernard has made any mistake in his puzzle. I get no reply from Bernard nor Pappocom and just wonder if you could rtry and tell me your result.

The solution to your puzzle is :

123 456 789
946 178 253
857 293 146
732 581 964
614 329 875
589 647 312
461 832 597
375 914 623
298 765 431

Look forward to hearing from you soon

Lyh4828
lyh4828
 
Posts: 4
Joined: 03 September 2005

Postby possum » Mon Sep 05, 2005 4:31 pm

lyh4828 wrote:

Pi, could you try Bernard Stay's Tue. July 12 puzzle? I feel that based on what Bernard has reached, there is no unique solution to the puzzle. So, I just wonder if Bernard has made any mistake in his puzzle. I get no reply from Bernard nor Pappocom and just wonder if you could rtry and tell me your result.

Lyh4828


Bernard did finish the puzzle after spotting the 6/9 pair in column 7.
possum
 
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Uniqueness of SuDoku puzzles

Postby Guest » Tue Sep 06, 2005 7:49 pm

Puzzle 346 in Monday's Times had 2 solutions. Each of the numbers 4 and 7 in rows 4,5,6 and 7 (or, if you prefer, columns 3,5,6, and 7) could be switched from the published solution. So, not a unique answer on this occasion....................
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Postby PaulIQ164 » Tue Sep 06, 2005 7:55 pm

Actually, the 7 in r7c6 is a clue number, so you can't move it.
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Uniquess of Sudoku Puzzles

Postby Guest » Fri Sep 09, 2005 2:22 pm

Ah, the perils of working from a manually copied version rather than the original!
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