[Algorithm] Ma methods – Magic square
In math fun, Magic matrix of degree n (also known as ma or the magic square) an arrangement of n², usually distinct integers, in a square table so that the total number in each row n, post, and diagonals are equal standard dental Magic square contains the integers from 1 to n².
Magic exists matrix standard for all orders n ≥ 1 except n = 2. Magic square Career 1 the trivial case, it contains only 1 cell value 1. In case of non-trivial size is the smallest rank matrix Magic 3.
The constant is the sum of each row, post, and diagonal called Magic constants. The value of the standard matrix miraculous depends only on n and valuable
With the Magic matrix rank n = 3, 4, 5, ..., Magic constants respectively: 15, 34, 65, 111, 175, 260, ...
How to set the retail Ma:
Draw a square of the grid to the inside of the line and column numbers as the ghost dish set. Then draw from the grid side 4 follow me cry tower next to a sub-image. Then you hit a row of squares on the diagonal of this new. Then move the number of squares on the side on the main square in which the outer side of left empty squares opposite outer side of the main square.
Such a ghost at the level 5
A ghost is much more explanation for it, such as the level ma 3
Ma methods have 2 kind: ma ma methods and even the odd:
How to set the retail Ma:
Number 1 always write in the box in the middle of the line 1.
When the arrow goes out 1 edge would go to the opposite side to the other (see round blue and red ring)
When the arrow on the top right corner to meet (here is the cell containing the number 15) it will run down box located below (Round green)
When the arrow met 1 cell number which then (Round yellow, cell containing the number 1) it will go down box located right duoi.Cu like until all the cells in ma.
How to set the parity Ma:
In general, the more complex the odd ghost and we split them up 2 ma is the kind of level 4n (n >= 1) and level 4n + 2 (n >= 1).
For ma local level, only 4n squares divided into small groups with each group 4 current, 4 post. Draw all the main diagonal of the small group. Then, we proceed numbered from left to right, from top to bottom of the box located on the diagonal.
Then we re-numbered from right to left, from bottom to top for the remaining cells.
Article referenced in: mathvn.com
or to ban ma bit cach lap phuong 4*4 voi mot hang so bat ky lam ntn
I've mentioned in the article and that. You review nhé.
you can let her know why they left me figure out how to set ma ko Phuong Le
Where does the way up from the odd ghost
You can see more in here, please: https://vi.wikipedia.org/wiki/Ma_tr%E1%BA%ADn_k%C3%AC_%E1%BA%A3o
Ask yourself how the total 1 number
So that the vertical and horizontal 4 × 4 together are equal
I have not quite understood your question. If the sum of hangg, column, the formula above is that you.
stars of 1 always placed between the lines so you
Where Where have thousands
If 4×4 John Smith, you just need slash 2 then do the above road
The matrix also for how 4n + 2, the right ad
I asked stupid little matrix 1 =>49 lies above all 1 located off the bottom to the vertical rows are still together ,yourself asked Is kg square matrix and how to solve dc a.thanks ad
I have not figure out your questions.