We are given a certain number. We double the number and then subtract $1$ from the result. We repeat this operation $4$ more times. If the end result is $2^{6}+1$, then what is the number that we started with? (Adapted from $2005$ Math Kangaroo Problems, Level $11-12$, Question \#$29$) 
选项为:A:$$1$$  B:$$2$$  C:$$4$$  D:$$6$$  E:$$3$$  请回答其中一个选项.