Sorting Algorithms: Difference between revisions
Jump to navigation
Jump to search
| Line 5: | Line 5: | ||
=Overview= | =Overview= | ||
The '''sorting problem''' if formally defined as follows: given a sequence of n numbers (a<sub>1</sub>, a<sub>2</sub>, ... a<sub>n</sub>) provided as input, the algorithm must produce as output a permutation (reordering) (a<sup>'</sup><sub>1</sub>, a<sup>'</sup><sub>2</sub>, ... a<sup>'</sup><sub>n</sub>) of the input sequence such that a<sup>'</sup><sub>1</sub> ≤ a<sup>'</sup><sub>2</sub> ≤ ... ≤ a<sup>'</sup><sub>n</sub>. | The '''sorting problem''' if formally defined as follows: given a sequence of n numbers (a<sub>1</sub>, a<sub>2</sub>, ... a<sub>n</sub>) provided as input, the algorithm must produce as output a permutation (reordering) (a<sup>'</sup><sub>1</sub>, a<sup>'</sup><sub>2</sub>, ... a<sup>'</sup><sub>n</sub>) of the input sequence such that a<sup>'</sup><sub>1</sub> ≤ a<sup>'</sup><sub>2</sub> ≤ ... ≤ a<sup>'</sup><sub>n</sub>. A specific input sequence is called an '''instance''' of the sorting problem. | ||
Revision as of 01:54, 5 August 2018
Internal
Overview
The sorting problem if formally defined as follows: given a sequence of n numbers (a1, a2, ... an) provided as input, the algorithm must produce as output a permutation (reordering) (a'1, a'2, ... a'n) of the input sequence such that a'1 ≤ a'2 ≤ ... ≤ a'n. A specific input sequence is called an instance of the sorting problem.