Q. 1: What is the minimum number of different numerals needed to ?ll a 3×3 square matrix?
Q. 3: Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to ?ll a 5×5 matrix?
Q. 4: Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5×5 square matrix?
Given that n × n square matrix to be filled with numerals so that no two adjacent cells have the same numeral.
Also, two cells are called adjacent if they touch each other horizontally, vertically or diagonally. As per the given definition, in the following matrix, the following are the cases of adjacent cells.
As per the information, we’ve the following diagram for a 3 x 3 matrix to have minimum number of numerals.