Multiplication
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Problem Description
Multiplication is one of the four elementary mathematical operations of arithmetic; with the others being addition; subtraction and division.
Bounds Chart
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Step Chart
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Improvement Table
Complexity Classes | Algorithm Paper Links | Lower Bounds Paper Links |
---|---|---|
Exp/Factorial | ||
Polynomial > 3 | ||
Cubic | ||
Quadratic | Karatsuba Algorithm (1962)
[ Long Multiplication (1940)] |
|
nlogn | Harvey; Hoeven (2019) | |
Linear | ||
logn |