1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gauss solution of n-queens problem

  1. Oct 10, 2012 #1
    Sorry if this is the wrong section i didn't exactly know where to put this problem
    Now the n-queens problem has an arithmetic solution by Gauss:

    Suppose n is even. For any k,
    (1) If n is not 6k+2,
    j = 2i+1, for 0 <= i < n/2
    j = 2i mod n, for n/2 <= i < n
    (2) If n is not 6k
    j = (n/2 + 2i -1) mod n, for 0 <= i < n/2
    j = (n/2 + 2i + 2) mod n, for n/2 <= i
    For odd numbers, we can attach a queen at (n-1, n-1).
    source: http://bridges.canterbury.ac.nz/features/eight.html
    i don't fully understand it and where it came from
    what is the proof?
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Gauss solution of n-queens problem
  1. N-sphere math problem (Replies: 10)

  2. N body problem (Replies: 7)

Loading...