2017 AMC10B P23  Let $$N=123456789101112\ldots 4344$$ be the $$79$$-digit number that is formed by writing the integers from $$1$$ to $$44$$ in order, one after the other. What is the remainder when $$N$$ is divided by $$45$$?  设$N=123456789101112\ldots 4344$$是$79$位数，由$$1$$至$$44$$的整数依次写成。当$N$除以$$45$$时，余数是多少？
选项为:A:$$1$$  B:$$4$$  C:$$9$$  D:$$18$$  E:$$44$$  请回答其中一个选项.