How to Solve Minimum Operations to Reduce an Integer to 0 Problem
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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: Add or subtract a power of 2 from n. Return the minimum number of operations to make n equal to 0. A number ...
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Understanding the Minimum Operations to Reduce an Integer to 0 Problem
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Problem Statement
You are given a positive integer n, you can do the following operation any number of times: Add or subtract a power of 2 from n. 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.
Minimum Operations to Reduce an Integer to 0
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Examples
n = 39
3
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.
n = 54
3
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 <= 105
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