It is shown that the greedy algorithm for the ( n 2 − 1 ) -puzzle makes 8 3 n 3 + O ( n 2 ) expected moves. This analysis is verified experimentally on ...
Jun 4, 2024 · It is shown that the greedy algorithm for the (n2 - 1)-puzzle makes 8/3n3 +O(n2) expected moves. This analysis is verified experimentally on ...
The (n2 −1)-puzzle is defined as follows. Given n2 −1 numbered tiles arranged in row-major order in an n × n grid leaving a blank space in the last position ...
It is shown that the greedy algorithm for the \((n2-1)\)-puzzle makes \(\tfrac{8}{3}n^3 +O(n^2)\) expected moves. It is shown that the greedy algorithm for ...
Jul 10, 2015 · solves the (n2 − 1)-puzzle in expected number of moves 8. 3 n3 + O(n2). The main body of this paper is divided into three sections. Section ...
Solving the (n 2 1)-Puzzle with 8 n 3 Expected Moves · I. Parberry, Dimitris Fotakis · Published 2015 · Computer Science, Mathematics.
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Abstract: This paper addresses optimal and near-optimal solving of the (N2–1)-puzzle using the A* search algorithm. We develop a novel heuristic based on ...
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Abstract. The problem of solving (𝑛2 − 1)-puzzle and cooperative path-finding (CPF) sub-optimally by rule based algorithms is addressed in this manuscript.
https://www.mdpi.com/1999-4893/8/3/459/pdf-vor ... Solving the (n2 − 1)-Puzzle with 8/3 n3 Expected Moves. ... "Solving the (n2 − 1)-Puzzle with 8/3 n3 ...
Kornhauser, Miller, and Spirakis [5] show an O(n3) time algorithm for the (n2 − 1)-puzzle, which therefore uses O(n3) moves in the worst case. n3 + O(n2). Fig ...