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📚TheoryIntermediate

Randomized Algorithm Theory

Randomized algorithms use random bits to make choices that simplify design, avoid worst cases, and often speed up computation.

#randomized algorithms#las vegas#monte carlo+12
∑MathAdvanced

Primitive Roots

A primitive root modulo n is a number g that cycles through all units modulo n when you repeatedly multiply by g, so its multiplicative order equals \(\varphi(n)\).

#primitive root
Advanced
Filtering by:
#miller rabin
#multiplicative order
#euler totient
+10
∑MathAdvanced

Pollard's Rho Factorization

Pollard's Rho is a randomized algorithm that finds a non-trivial factor of a composite integer by walking a pseudorandom sequence modulo n and extracting a factor with a gcd.

#pollard's rho#integer factorization#cycle detection+10
⚙️AlgorithmIntermediate

Randomized Algorithms

Randomized algorithms use coin flips (random bits) to guide choices, often making code simpler and fast on average.

#randomized algorithms#las vegas#monte carlo+12