Solving the \((n^2-1)\)-puzzle with \(\frac{8}{3}n^3\) expected moves (Q1736675)
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scientific article; zbMATH DE number 7042263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving the \((n^2-1)\)-puzzle with \(\frac{8}{3}n^3\) expected moves |
scientific article; zbMATH DE number 7042263 |
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Solving the \((n^2-1)\)-puzzle with \(\frac{8}{3}n^3\) expected moves (English)
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26 March 2019
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Summary: It is shown that the greedy algorithm for the \((n^2-1)\)-puzzle makes \(\frac{8}{3} n^3 +O(n^2)\) expected moves. This analysis is verified experimentally on 10,000 random instances each of the \((n^2-1)\)-puzzle for \(4 \leq n \leq 200\).
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15-puzzle
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8-puzzle
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analysis of algorithms
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average-case analysis
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greedy algorithm
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\((n^2-1)\)-puzzle
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