How to make a diagonal latin square?

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Hi!
So i would like to ask if you have any idea how to make a diagonal latin square (i mean a square that has combination of 1..n not only in row and column but also on both diagonal and antidiagonal). I've tried a lot of things but it just doesnt want to work. The worst thing is that i found some code in the internet but its in python and i have to use Pascal for mine one. BTW im a beginner so i dont even totally get whats happening in other languages 😀
Thank you!

What I have tried:

I ve tried coding a program which takes a random number from 1..n and checkes it if its right if yes its going on another spot IF not everythings repeat. But i unfortunately made too many mistakes in it .

Posted 4-Jan-18 23:12pm

Member 13608224

Updated 4-Jan-18 23:43pm

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Richard MacCutchan 5-Jan-18 5:34am

Draw the square on paper and try adding the numbers manually. Think about what decision you need to make at each point and write down the steps as you do it. When you have completed the square you just need to convert those logical steps into Pascal statements.

Member 13608224 5-Jan-18 6:23am

^ i tried it but theres no pattern unless its a prime number i mean square 7x7,5x5 and so on. In other situations you have to start from diagonal and antidiagonal but even though in every space you can write 2 numbers and only one is correct so its not helpful, at least for me

Richard MacCutchan 5-Jan-18 6:29am

Exactly so. The problem is one of logic and it is up to you to figure out that logic. Converting the logic into code is the easy part.

Member 13608224 5-Jan-18 6:59am

Probably for someone who can easily program anything its easy, but as for someone totally new its not. I have 2 ideas for algorithm but i was counting that someone here will be able to tell me if my idea should work and so on. Thats why i tried to explain one of them. Its not like im asking for ready solution just for some tips

Richard MacCutchan 5-Jan-18 8:33am

But, as I already said, it is not a programming (i.e. Pascal) problem, so there is nothing much that we can suggest in those terms. The actual algorithm is referred to in Maciej's solution below, so that is where you should start. You cannot consider writing any code until you understand the actual problem and its solution.

Member 13608224 5-Jan-18 8:59am

Well but as far as i know there doesn't exsist any pattern at all. So sitting any more days and reading about them is pointless. I can understand the problem pretty well, i just dont really know how complicated pascal language i should use. As far as i was tought there are arrays but maybe there is some ready function which can unable me to make this task a litlle bjt simpler

Richard MacCutchan 5-Jan-18 9:04am

I wonder how many times I need to say this: "this is not a Pascal problem". It does not matter what programming language you want to use, until you have a logical solution to the problem you cannot write any code.

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Maciej Los · Answer 1 · 2018-01-04T23:43:00

Solution 1

You can't expect that someone of us will write a programme to you.

Start here: Latin Square -- from Wolfram MathWorld[^]. A diagram which may help you to write programme, you'll find here (pdf)[^]

Posted 4-Jan-18 23:43pm

Maciej Los

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Member 13608224 5-Jan-18 6:10am

Well i dont expect you to make program instead of me just to explain how to do it in Pascal. I know that in Python you can do it more easily but i just dont know it. And the links you share are not exactly what i mean, because there on the diagonal you have 0 always and i have to have there a combination of [1,n] and that is the biggest problem to me. Making normal latin square is much simpler i guess