**CMQ** Call a pair of rows in a matrix unfriendly if the Hamming distance between the two rows is larger than the number ones they have in common positions. Let us call a matrix unfriendly if all pairs of rows are unfriendly.
The identity matrix is, for example, unfriendly and the all ones matrix is friendly.
What is the largest number ones a 6 by 6 unfriendly binary matrix can have?