$A$ shooting game involves using a gun that fires by itself at random times. The player can only point the gun in a fixed direction while the target moves from side to side with simple harmonic motion,as shown. At which of the given regions should the player aim in order to score the greatest number of hits?

  • A
    $3$
  • B
    either $1$ or $5$
  • C
    either $2$ or $4$
  • D
    any of $1, 2, 3,$ or $5$

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