Optimize power() using exponentiation by squaring (O(log n)) #7069
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Vinayak-v12 wants to merge 3 commits intoTheAlgorithms:masterfrom
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Optimize power() using exponentiation by squaring (O(log n)) #7069Vinayak-v12 wants to merge 3 commits intoTheAlgorithms:masterfrom
Vinayak-v12 wants to merge 3 commits intoTheAlgorithms:masterfrom
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Codecov Report❌ Patch coverage is
Additional details and impacted files@@ Coverage Diff @@
## master #7069 +/- ##
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Coverage 78.33% 78.33%
- Complexity 6670 6672 +2
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Files 753 753
Lines 22185 22192 +7
Branches 4356 4359 +3
=========================================
+ Hits 17378 17384 +6
Misses 4107 4107
- Partials 700 701 +1 ☔ View full report in Codecov by Sentry. 🚀 New features to boost your workflow:
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whats the difference between your implementation and https://github.com/TheAlgorithms/Java/blob/master/src/main/java/com/thealgorithms/divideandconquer/BinaryExponentiation.java ? @Vinayak-v12 |
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This PR optimizes the power() method by replacing the linear recursive
implementation with an exponentiation-by-squaring approach.
✔ Time complexity reduced from O(n) → O(log n)
✔ Handles negative exponents
✔ Keeps same behavior as original implementation
✔ Fully compatible with existing test cases
✔ No API changes
This improves performance and reduces recursion depth while maintaining clean readability.