A mechanical engineer designs a robotic arm that rotates in precise increments. It rotates 18 degrees per step. To avoid overshooting, the arm must complete an angle that is a multiple of 45 degrees but not a multiple of 90 degrees. What is the smallest number of steps it can take to achieve such a position?

A mechanical engineer designs a robotic arm that rotates in precise increments. It rotates 18 degrees per step. To avoid overshooting, the arm must complete an angle that is a multiple of 45 degrees but not a multiple of 90 degrees. What is the smallest number of steps it can take to achieve such a position?

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