Solving the (n2 − 1)-Puzzle with 8/3 n3 Expected Moves

Autor: Ian Parberry
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Algorithms, Vol 8, Iss 3, Pp 459-465 (2015)
Druh dokumentu: article
ISSN: 1999-4893
DOI: 10.3390/a8030459
Popis: It is shown that the greedy algorithm for the \((n^2-1)\)-puzzle makes \(\tfrac{8}{3}n^3 +O(n^2)\) expected moves. This analysis is verified experimentally on 10,000 random instances each of the \((n^2-1)\)-puzzle for \(4 \leq n \leq 200\).
Databáze: Directory of Open Access Journals