Question 21
Mathrix is a $5\times5$ puzzle game where we place the digits from 1 to 5 in the board such that each row and column contain the digits from 1 to 5 exactly once. Circles with conditions are placed on some intersections and are meant for the 2 pairs of diagonally adjacent cells. This can be the sum ($+$), difference ($-$) or only odd numbers can be used (odd). (For example, if we have $+5$ this means that the sum of the two diagonally adjacent numbers is 5.) Find the value of $I+M+S+O$.
