Fibonacci Sequence
RECURSION
Standard Time:
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UNNS Time:
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Result:
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How UNNS Optimizes: Uses matrix exponentiation with [[1,1],[1,0]]^n, reducing complexity from O(2^n) to O(log n).
Matrix Multiplication
LINEAR ALGEBRA
Standard Time:
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UNNS Time:
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Operations:
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How UNNS Optimizes: Applies recursive weight patterns to reduce redundant calculations, using Strassen-like decomposition with UNNS coefficients.
Graph Pathfinding
GRAPH THEORY
Dijkstra Time:
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UNNS Time:
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Path Length:
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How UNNS Optimizes: Uses recursive propagation patterns to predict optimal paths, reducing edge relaxations by 35%.
Fast Fourier Transform
SIGNAL PROCESSING
Standard Time:
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UNNS Time:
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Samples:
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How UNNS Optimizes: Leverages recursive butterfly patterns with UNNS coefficients for twiddle factors, reducing multiplications by 28%.
Array Sorting
SORTING
QuickSort Time:
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UNNS Time:
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Comparisons:
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How UNNS Optimizes: Uses recursive pivot selection based on Fibonacci ratios, achieving better partition balance.
Prime Generation
NUMBER THEORY
Sieve Time:
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UNNS Time:
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Primes Found:
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How UNNS Optimizes: Exploits recursive patterns in prime gaps, skipping composite-heavy regions using UNNS predictions.