// multi-utility computation suite · offline · instant · precise
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sci.hash-table-load-factor Calculator
Calculates hash table load factor α = n/m (entries/buckets), expected probe count for open addressing, and collision probability under uniform hashing. At α = 0.75, linear probing gives expected search time 2.5 × baseline — Python dict rehashes at α = 2/3, keeping lookup near O(1) in practice.
Inputs
N Elements
Count of items or occurrences.
M Buckets
Count of items or occurrences.
Avg Chain Length
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Results
load factor α = n/m
A dimensionless multiplier applied in the calculation.
expected chain length
The computed linear length.
buckets needed for target chain length
The computed linear length.
birthday collision probability (approx)
Sample size or count used in the calculation.
α = n/m
Sample size or count used in the calculation.
rehash trigger
Reference formula or conversion factor shown for context.