AMC8 2005 Problem 24

A certain calculator has only two keys: [+1] and [\times 2]. Each time you press one of these keys, the calculator automatically displays the result. For example, if the calculator initially displays “9” and you press [+1], it will display “10”. If you then press [\times 2], it will display “20”. Starting with the display “1”, what is the fewest number of keystrokes needed to reach “200”?

Answer Choices
A. 8
B. 9
C. 10
D. 11
E. 12