filling 99 grid with numbers 1-9 with unique row, column and 33 small girds

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I have to fill 9*9 grid, with numbers from 1-9. Each row, column should be unique.
It is same as Sudoku puzzle but in Sudoku we have some cells already filled up. But here I've to just fill a 9*9 grid which will look solved Sudoku puzzle.

How can I implement the logic for this?

Posted 25-Apr-12 12:18pm

nischalinn

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Richard MacCutchan 25-Apr-12 18:24pm

I would suggest you try some research; Google is your friend.

Sergey Alexandrovich Kryukov 25-Apr-12 19:05pm

I answered. Considering OP's comment about available solutions, this is no more than a trivial logical mistake. Please see.
--SA

nischalinn 25-Apr-12 18:46pm

Thank You for the suggestion. I've done that earlier and only after that posted this thread. every posts in google tries to solve a sudoku puzzle but mine is different from that. So I've posted it here.

Sergey Alexandrovich Kryukov 25-Apr-12 18:53pm

~~Agree~~, but did you simply try to solve it by yourself?
--SA

nischalinn 25-Apr-12 18:58pm

@ SAKryukov: ya I tried it but I can not understand how to implement the logic for this. I only want to know the logic for this not the programming part.
Thank you

Sergey Alexandrovich Kryukov 25-Apr-12 19:04pm

I answered. You can either use available Sudoku solution (you say by yourself they exist; it would be wonderful if such a simple task does not have a publicly available solution), and I can proof (a shame to say "a proof", it's too trivial) that it works in your case.
--SA

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Sergey Alexandrovich Kryukov · Answer 1 · 2012-04-25T13:02:00

First: as the result should satisfy Sudoku rules, you did not correctly formulate it. Please see: http://en.wikipedia.org/wiki/Sudoku[^].

Now, in you comment about available solution of Sudoku puzzle you failed to use very simple logic. Think about it: if you have an algorithm solving Sudoku puzzle, it also solves your problem. Isn't this obvious? Or you need a proof? :-)

—SA

cjoanson · Answer 2 · 2012-04-25T13:38:00

hello..
i tried to understand your question and i think that's what you want

C#

namespace ConsoleApplication1 {
    class Program {
        static void Main(string[] args)
        {
            for (int i = 0; i <9; i++)
            {
                for (int x = 0; x < 9; x++)
                {
                    if ((x + 1 + i) > 9)
                    {
                        Console.Write("  {0}  ", (x + i + 1) % 9);
                    }
                    else
                    {
                        Console.Write("  {0}  ", (x + 1 + i));
                    }
                }
                Console.WriteLine("\n");
            }
            Console.Read();
        }
    }
}

and the output will be look like this:
1 2 3 4 5 6 7 8 9
2 3 4 5 6 7 8 9 1
3 4 5 6 7 8 9 1 2
4 5 6 7 8 9 1 2 3
5 6 7 8 9 1 2 3 4
6 7 8 9 1 2 3 4 5
7 8 9 1 2 3 4 5 6
8 9 1 2 3 4 5 6 7
9 1 2 3 4 5 6 7 8

filling 99 grid with numbers 1-9 with unique row, column and 33 small girds

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filling 9*9 grid with numbers 1-9 with unique row, column and 3*3 small girds

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filling 99 grid with numbers 1-9 with unique row, column and 33 small girds