total number of solutions for 8 queens problem
Eight queens puzzle The problem of finding all solutions to the 8-queens problem can be quite computationally expensive, as there are 4,426,165,368 (i.e., 64C8) possible arrangements of eight queens on an 8Ã—8 board, but only 92 solutions. It is possible to use shortcuts that reduce computational requirements or rules of thumb that avoids brute-force computational techniques. For example, by applying a simple rule that constrains each queen to a single column (or row), though still considered brute force, it is possible to reduce the number of possibilities to 16,777,216 (that is, 88) possible combinations. Generating permutations further reduces the possibilities to just 40,320 (that is, 8!), which are then checked for diagonal attacks.
Royal corgis In 2007, Elizabeth II had five corgis: Monty, Emma, Linnet, Willow and Holly; five cocker spaniels: Bisto, Oxo, Flash, Spick and Span; and four dorgis (dachshund-corgi crossbreeds): Cider, Berry, Vulcan and Candy. Monty, Willow and Holly appeared in the 2012 Olympic opening ceremony when James Bond arrived at Buckingham Palace to escort the Queen to the event. Monty had previously belonged to the Queen Mother, and died in September 2012.[citation needed] It was reported in 2015 that the Queen stopped breeding corgis so as not to leave any behind when she died.[2] Her final corgi, Willow, died in April 2018. Two 'dorgis', Vulcan and Candy, are still alive.[3]