Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
Approach
A number
nis a power of two if:n > 0Trick: For powers of two,
n & (n - 1) == 0.Example:
n & (n-1) = 0000✅n & (n-1) = 0100❌Intuition
Binary representation of powers of two looks like: 1 (0001), 2 (0010), 4 (0100), 8 (1000), 16 (10000) ...
Each has exactly one set bit.
Therefore, checking
(n > 0) && (n & (n-1)) == 0efficiently verifies this.Solution in Code