There are two groups of balls. Group $A$ has $585$ balls and Group $B$ has $590$ balls. DQ and Justin want to play a game with these balls. They will take turns to take balls from the two groups. Each person can take $1$ to $6$ balls from a group at a time. The person who takes the last ball in the two groups will win the game. If DQ starts the game first, does she have the winning strategy? 
选项为:A:Yes, she can take $5$ balls from group $A$ at first.  B:Yes, she can take $3$ balls from group $B$ at first.  C:Yes, she can take $6$ balls from group $A$ at first.  D:Yes, she can take $5$ balls from group $B$ at first.  E:No, she doesn\textquotesingle t have winning strategy.  请回答其中一个选项.