Question 146
For each pair of integers $a, b$ a non-negative integer $a*b$ is defined such that it satisfies the following two conditions:
1) $(a+b)*b = a*b+1$;
2) $(a*b) \cdot (b*a) = 0$.
Find values of the expressions $2016*121$ and $2016*144$.
1) $(a+b)*b = a*b+1$;
2) $(a*b) \cdot (b*a) = 0$.
Find values of the expressions $2016*121$ and $2016*144$.