Problem
Given a positive integer n and you can do operations as follow:
1.If n is even, replace n with n/2.
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?
ExampleExample 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 -> 1Solution
public class Solution { /** * @param n: a positive integer * @return: the minimum number of replacements */ public int integerReplacement(int n) { // Write your code here if (n == 1) return 0; if (n == Integer.MAX_VALUE) return 32; int count = 0; while (n > 1) { if (n % 2 == 0) { n /= 2; count++; } else { if ((n+1) % 4 == 0 && n != 3) { n++; count++; } else { n--; count++; } } } return count; } }
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