Just sum

We all know about magic squares. Aren't they special , huh ?

Draw a square with same numbers of row as column. Do you know if certain values are added in it then the sum of values of each row , each column and each of the two diagnols is the same. Condition , that natural numbers till the total number of cells in the square can be entered . For example , there is a square with rows and columns 5 then positive values upto 25 , the total number of cells , can be entered with , one more condition that any number once entered in the square C o u l d Could n o t not be entered in the square A g a i n Again . N o No block should be left empty. One more information , the two diagonals are from top leftmost cell to bottom rightmost cell and top rightmost cell to bottom leftmost cell.

Now , if there exist , as will surely exist , a magic square with number of row and column 101 101 . What will be the sum of each row , column or diagonal , if it retains all the qualities of a magic square ?

N o t e Note : If you will try to search on G o o g l e Google , you will gain some points but not good math skills.


The answer is 515201.

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