mediumBit ManipulationDynamic ProgrammingGreedy 0 views

Minimum Operations to Reduce an Integer to 0

You are given a positive integer n, you can do the following operation any number of times: Return the minimum number of operations to make n equal to 0.

You are given a positive integer n, you can do the following operation any number of times:

Return the minimum number of operations to make n equal to 0.

A number x is power of 2 if x == 2i where i >= 0.

Example 1

Input: n = 39

Output: 3

Explanation: We can do the following operations: - Add 20 = 1 to n, so now n = 40. - Subtract 23 = 8 from n, so now n = 32. - Subtract 25 = 32 from n, so now n = 0. It can be shown that 3 is the minimum number of operations we need to make n equal to 0.

Example 2

Input: n = 54

Output: 3

Explanation: We can do the following operations: - Add 21 = 2 to n, so now n = 56. - Add 23 = 8 to n, so now n = 64. - Subtract 26 = 64 from n, so now n = 0. So the minimum number of operations is 3.

Constraints

  • 1 <= n <= 10^5

Hints

Companies

No companies reported yet.

Discussion

Sign in to join the discussion.

Loading discussion...

Test results

No test cases yet.