Two Tables Representation
These two tables will serve for a quick mapping of an arbitrary Chess960 starting position (short: SP) at White's base row to a random number between 0 and 959. First search for the same or the nearest smaller number from the King's Table. Then determine the difference (0 to 15) to the drawn number and select that matching bishops' positioning from the Bishop's Table. According to this first place both bishops at the first base row, then the six pieces in the sequence of the found row of the King's Table upon the six free places left over. Finally the black pieces will be placed symmetrically to White's base row.
Read more about this topic: Chess960 Numbering Scheme
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