The smallest possible $$N$$ is $$73$$, and $$73 \div 11\rm R7$$. 
$$N$$ is a two$$-$$digit number. When $$N$$ is divided by $$9$$, the remainder is $$1$$. When $$N$$ is divided by $$10$$, the remainder is $$3$$. What is the remainder when $$N$$ is divided by $$11$$? ． 
a) $$0$$ 
b) $$2$$ 
c) $$4$$ 
d) $$5$$ 
e) $$7$$ 