I give you a table. Fill in the blanks so that the sum of each row should be identical, and sum of each column should be identical. But the sum of a column and row doesn't need to be same. You can use positive integers, except 0.
But my question isn't it. Of course it is easy to work on such a small table. But if I give you a table of 100x80 having a ladder shape blanks is here an easy way to fill it? I hope ladder is the true word to describe the form of the blanks in the table.
One of my friends used determinant way to fill it. But it is very hard for a greater table. Also giving variables to each blank is cumbersome.
Please don't get tired of filling my mini table, find a way to fill a greater table as 100x80, 100x150 etc.
Question
Guest
I give you a table. Fill in the blanks so that the sum of each row should be identical, and sum of each column should be identical. But the sum of a column and row doesn't need to be same. You can use positive integers, except 0.
But my question isn't it. Of course it is easy to work on such a small table. But if I give you a table of 100x80 having a ladder shape blanks is here an easy way to fill it? I hope ladder is the true word to describe the form of the blanks in the table.
One of my friends used determinant way to fill it. But it is very hard for a greater table. Also giving variables to each blank is cumbersome.
Please don't get tired of filling my mini table, find a way to fill a greater table as 100x80, 100x150 etc.
9 1 7 4 _ _
3 6 2 _ _ 8
2 6 _ _ 7 2
8 _ _ 9 2 7
_ _ 8 1 6 3
Link to comment
Share on other sites
4 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.