Trying to make a sudoku puzzle generator

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Morgan Clendennin
Morgan Clendennin 2016-11-13
回答： Image Analyst 2019-11-28
Before I start, I know that there are tons of Sudoku puzzle generators for MATLAB out there but none of them do what I would like. I am trying to create a Sudoku generator that will take a 9x9 array of zeros and replace the first row with a randomly generated array of the numbers 1-9. To do this, I am using the randperm function as follows:
numb=zeros(9,9);
numb(1,:)=randperm(9,9);
this part works fine. Where I am having issues is generating all following lines. As of right now, I am using a a different for loop for each row with nested for loops inside for each column. An example of the code I am using for the second row of the array is as follows:
for r=2;
for c=1;
numb(r,c)=randi(9);
for i=1:3;
while numb(r,c) == numb(r-1,i);
numb(r,c)=randi(9);
end
end
end
for c=2;
numb(r,c)=randi(9);
for i=1:3;
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-1);
numb(r,c)=randi(9);
end
end
end
for c=3;
numb(r,c)=randi(9);
for i=1:3;
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-1) || numb(r,c) == numb(r,c-2);
numb(r,c)=randi(9);
end
end
end
for c=4;
numb(r,c)=randi(9);
for i=4:6;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
for c=5;
numb(r,c)=randi(9);
for i=4:6;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
for c=6;
numb(r,c)=randi(9);
for i=4:6;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
for c=7;
numb(r,c)=randi(9);
for i=4:6;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
for c=8;
numb(r,c)=randi(9);
for i=4:6;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
for c=9;
numb(r,c)=randi(9);
for i=4:6;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
end
Can anyone tell me why the code as I have it written will work most of the time but not all the time to check and make sure there are no repeats in the second row, each column, and each 3x3 box? also, if anyone has any tips on how to extend this for loop or a better one to encorporate remaining rows, I'd love your input.

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采纳的回答

Greg Dionne
Greg Dionne 2016-11-18
I like your randperm() idea. You can use it to do the scrambling without any for-loops at all.
You may safely transform a valid Suduko grid into another via:
  1. permuting the symbols '1'-'9'.
  2. permuting any three rows/columns within the same band (e.g. X([4 5 6],:) = X([6 5 4],:)
  3. permuting any three rows/columns of bands (e.g. X([1:3 4:6 7:9],:) = X([7:9 1:3 4:6],:)
  4. transposition (e.g. X = X')
Have fun!
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Morgan Clendennin
Morgan Clendennin 2016-11-18
The only other issue that I am having at this point is where I am writing a function that will take the output of the Sudoku function and based on whether I specify that I am playing a easy, medium, hard or expert level game, will determine how many numbers to remove from the board and then randomly remove them. My problem is that I did what you did and said
function numbers=SudokuGame
perform specified stuff here
end
The problem is now that when in my other function I say
function easygame
numbers=SudokuGame
to_be_removed=25;
perform steps for removal...
end
the easygame function blows up saying that there is no numbers array for it to perform the random removal steps on. Any understanding of why this would happen?
Greg Dionne
Greg Dionne 2016-11-18
I find it helpful to step through with the debugger to see what is going on. If you see an error message, Google it! Chances are good someone else may have run into the same issue you did.
Good luck with your program!

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更多回答（2 个）

Yeshwanth Devara
Yeshwanth Devara 2016-11-16
I am assuming that you are looking to create a sudoku generator but don't want to use any of the existing ones.
It is possible that you are receiving the issue because the loops for the elements in row 2 columns 7 to 9, you are verifying the columns 4 to 6?
I changed the code to columns 7 to 9 and it seems to work fine.
for c=7;
numb(r,c)=randi(9);
for i=7:9;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
for c=8;
numb(r,c)=randi(9);
for i=7:9;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
for c=9;
numb(r,c)=randi(9);
for i=7:9;
for j=1:(c-1);
while numb(r,c) == numb(r-1,i) || numb(r,c) == numb(r,c-j);
numb(r,c)=randi(9);
end
end
end
end
It would be good to know if you would like to create a sudoku generator that is functionally different from others.
  1 个评论
Morgan Clendennin
Morgan Clendennin 2016-11-17
Hi Yeshwanth,
Thank you for getting back to me regarding my question. I want a Sudoku generator that is functionally the same as other Sudoku generators available out there but I don't like how they are coded up as I am trying to code mine up similar to there's and the ones I am trying to do it based off of are too confusing to follow. I tried your fix for my code and it still does not work. The code as I understand I have written it is supposed to check each of the preceeding rows values as well as the columns next to it to make sure that no rows, columns or 3x3 box has any repeating values. I am not getting this result at all. Maybe you can point out where I may have more mistakes?
Thanks,
Morgan

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Image Analyst
Image Analyst 2019-11-28
Have you taken a look at the Sudoku code in Cleve's Laboratory?
(Cleve Moler is the founder of The Mathworks).
There are lots of other fun things in his laboratory in addition to that.

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