Write a Python one$-$liner to generate a list, d$,$ consisting of pairs in the format $($a$,$ b$)$ where:

a $=2$j $+1$

b $=100$ j

where j ranges from $1$ to $10.$

Utilize the list d to generate a list s with a single line of Python code according to the following and then print s:

s $=$ a $\backslash$times b if b is even, otherwise a $+$ b

Exclude pairs from d where b is divisible by $3.$