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Table 1 Required time and space

From: Efficient calculation of exact probability distributions of integer features on RNA secondary structures

 

Polynomial

DFT

DFT with U* units

Time

O ( n 3 S 2 m a x α )

O ( n 3 S m a x α )

O ( n 3 S m a x α / U )

Space

O ( ( n 2 + β ) S m a x )

O ( n 2 + β )

O ( ( n 2 + β ) U )

  1. The number of parallelization units must be equal to S max or less. If U = S max , DFT with U units requires O(n3α) in time and O ( ( n 2 + β ) S m a x ) in space.