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
orn - 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
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1. 递归
1 public class Solution { 2 public int integerReplacement(int n) { 3 if(n == 1) return 0; 4 if(n%2 == 0) return integerReplacement(n/2) + 1; 5 return 1 + Math.min(integerReplacement(n+1), integerReplacement(n-1)); 6 } 7 }