Your car starts at position 0
and speed +1
on an infinite number line. Your car can go into negative positions. Your car drives automatically according to a sequence of instructions 'A'
(accelerate) and 'R'
(reverse):
 When you get an instruction
'A'
, your car does the following:position += speed
speed *= 2
 When you get an instruction
'R'
, your car does the following: If your speed is positive then
speed = 1
 otherwise
speed = 1
 Your position stays the same.
 If your speed is positive then
For example, after commands "AAR"
, your car goes to positions 0 > 1 > 3 > 3
, and your speed goes to 1 > 2 > 4 > 1
.
Given a target position target
, return the length of the shortest sequence of instructions to get there.
Example 1:
Input: target = 3
Output: 2
Explanation:
The shortest instruction sequence is "AA".
Your position goes from 0 > 1 > 3.
Example 2:
Input: target = 6
Output: 5
Explanation:
The shortest instruction sequence is "AAARA".
Your position goes from 0 > 1 > 3 > 7 > 7 > 6.
Constraints:
1 <= target <= 10^{4}

