Conjecture about Queen Place

What is Queen Place ?

"Queen Place" is the puzzle of using a chess piece "Queen".

  1. Use grid-based board like chess board
  2. Put one of the numbers given in empty cells
  3. Each number has a role of chess "Queen"
  4. If there was no other numbers, no number attack to same number each other

Conjecture

"Queen Place" has been proven to be satisfied in the board size of 7x7 and 5x5.

I have confirmed that "Queen Place" is not satisfied in the board size of 8x8, 9x9 and 10x10.

I conjecture here that "Queen Place" is satisfied in the board size of only 7x7 and 5x5.

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January 14, 2014
Stew Eucen
facebook article for proof the date