397. Integer Replacement

Given a positive integer n and you can do operations as follow:

If n is even, replace n with n/2.
If n is odd, you can replace n with either n + 1 or n - 1.
What is the minimum number of replacements needed for n to become 1?

Example 1:
Input:
8
Output:
3
Explanation:
8 -> 4 -> 2 -> 1

Example 2:
Input:
7
Output:
4
Explanation:
7 -> 8 -> 4 -> 2 -> 1
or
7 -> 6 -> 3 -> 2 -> 1

Solution：

思路：

Time Complexity: O(N) Space Complexity: O(N)

Solution Code：