Research Article
A Hybrid alldifferent-Tabu Search Algorithm for Solving Sudoku Puzzles
Table 4
Iterations needed (minimum, average, maximum, and standard deviation) considering 30 runs.
| | Difficulty group | Difficulty subgroup | Iterations | | alldiff-TS | AC3-TS | | Minimum | Average | Maximum | | Minimum | Average | Maximum | |
| | Easy | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | | 2 | 1 | 1 | 1 | 0 | 1 | 7.4 | 58 | 11.7 | | E | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | | Easy | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 |
| | Medium | 3 | 1 | 2.0 | 7 | 1.6 | 3 | 90.2 | 897 | 140.5 | | 4 | 1 | 13.1 | 95 | 23.5 | 2 | 163.3 | 1,318 | 226.3 | | 5 | 1 | 20 | 276 | 45.0 | 5 | 143.9 | 1,778 | 230.4 | | C | 1 | 1 | 1 | 0 | 1 | 4.0 | 29 | 6.0 | | D | 1 | 27.2 | 424 | 64.5 | 5 | 1,897.6 | 9,088 | 2,214.3 | | Medium | 1 | 1 | 1 | 0 | 5 | 138.8 | 865 | 173.9 |
| | Difficult | SD | 3 | 51.5 | 298 | 68.8 | 10 | 5,005.6 | 29,329 | 7,358.1 | | Hard | 1 | 195.0 | 1881 | 397.0 | 4 | 1,872.4 | 7,590 | 2,217.6 |
| | Most difficult | AI Escargot | 52 | 1,248.3 | 6,328 | 1,378.6 | 57 | 2,566.7 | 7,224 | 2,076.6 |
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