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This one as well as Shannon number wiki seem to say that possible sensible moves are about 10^40 while and 10^120 while taking any moves (maybe including some illogical / illegal ones) .
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Related posts
- Chess Position Ranking
- How to Store a Chess Game in 26 Bytes Using Bit-Level Magic
- The number of legal Chess diagrams is less than 4 × 10^37 which is an improvement on the previous upper bound of 2 × 10^40 by Steinerberger.
- Accurately estimating the number of legal chess positions
- Chess Position Ranking